Railway-RRB Group D 2019 Previous Year Question Paper and Answer Key Free PDF Download -Aug 17, 2022-Shift 1
RRB Group D 2022 Prev. Yr. Paper (17 Aug
2022) (Shift 1)
Total Time: 1 Hour : 30 Minute
Instructions
Sl No. Section Name No. of Question Maximum Marks
1 CBT 100 100
1.) A total of 90 minutes is allotted for the examination.
2.) The server will set your clock for you. In the top right corner of your screen, a
countdown timer will display the remaining time for you to complete the exam. Once the
timer reaches zero, the examination will end automatically. The paper need not be
submitted when your timer reaches zero.
3.) There will, however, be sectional timing for this exam. You will have to complete each
section within the specified time limit. Before moving on to the next section, you must
complete the current one within the time limits.
CBT
1. If the perimeter of one face of a cube is 24 cm, then its volume is:
a. 216 cm3
b. 154 cm3
c. 180 cm3
d. 200 cm3
2. Study the given diagram carefully and answer the question. The numbers
in different sections indicate the number of persons. Which of the following
statements is correct on the basis of the above diagram?
a. The number of girls who are also gymnasts is 41.
b. The number of gymnasts who are also medal winners is 34.
c. The number of medal winners who are also girls is 27.
d. The number of girls who are neither gymnasts nor medal winners is
23.
3. In this question, a statement is followed by two conclusions. Which of the
two conclusions is/are true with respect to the statement?
Statement: P < Q < F = R > M = B
Conclusions:
I. R > P
II. F < B
a. Only conclusion I is true
b. Both conclusions I and II are true
c. Neither conclusion I nor II is true
d. Only conclusion II is true
4. As atomic number increases and nuclear charge increases, the force of
attraction between nucleus and valence electrons increases, hence
atomic radii decreases from Li to F.
a. increases, decreases, decreases, increases
b. increases, increases, increases, decreases
c. decreases, decreases, decreases, increases
d. increases, increases, decreases, decreases
5. _____ is the nodal agency for releasing data related to national income,
consumption expenditure, savings, and capital formation since 1956.
a. Monetary Policy Office
b. Central Financial Office
c. Public Asset Management Office
d. Central Statistics Office
6. Srinivas has just got married to a girl who is 4 years younger than him.
After 5 years their average age will be 33 years. Find the present age of the
girl.
a. 31 years
b. 26 years
c. 30 years
d. 35 years
7. The Indian Constitution gives the President the authority to declare three
types of emergencies. Which of the following is NOT among them?
a. Article 352 - National Emergency
b. Article 356 - Emergency in State (President's rule)
c. Article 358 - Public health emergency
d. Article 360 - Financial Emergency
8. In February 2022, who launched the ICMR/DHR Policy on Biomedical
Innovation?
a. Mansukh Mandaviya
b. Nitin Gadkari
c. Amit Shah
d. Narendra Modi
9. One year ago, the ratio of the ages of Saketh and Tilak was 5:6,
respectively. Four years hence, this ratio would become 6:7. The present
age of Saketh is:
a. 30 years
b. 31 years
c. 25 years
d. 26 years
10. Which is a quadratic equation?
a. (x
3 - 4x + 5 = 0)
b. (p - q)
2 - q
2 + 2pq - p = -3
c. x - x
3 + 3x
2 - 5 = 0
d. (x + 3)
2 = 0
11. Convert 36 cm to km.
a. 0.0036 km
b. 0.00063 km
c. 0.00036 km
d. 0.000036 km
12. In Newland’s law of octaves, the first element is ____ and the last known
element is ____.
a. hydrogen, lanthanum
b. hydrogen, thorium
c. hydrogen, zirconium
d. helium, zirconium
13. The average of 11 numbers arranged in an order is 41. The average of the
first five numbers is 18 and that of the last five numbers is 64. What is the
sixth number?
a. 41
b. 45
c. 55
d. 64
14. X and Y are two alloys of Gold and Platinum prepared by mixing the
metals in the ratio of 5:2 and 5:7, respectively. If we melt equal quantities
of the alloys to form a third alloy Z, then the ratio of the quantity of Gold to
the quantity of Platinum in Z will be:
a. 84:73
b. 95:73
c. 95:84
d. 73:95
15. Study the given letter, number, symbol series and answer the question
that follows.
T % N 9 * M S 3 U = L S Y @ G & 3 I E > W & 4 R F ! K
Find out the total number of symbols that are immediately preceded by a
number and immediately followed by a letter.
a. 4
b. 2
c. 1
d. 3
16. Who among the following was the chairman of the Planning Commission
when the First Five Year Plan was started?
a. Sardar Vallabhbhai Patel
b. Harendra Coomar Mookerjee
c. Jawaharlal Nehru
d. Rajendra Prasad
17. In a class of students, Paulo ranked 18th from the top and 45th from the
bottom. What is the total number of students in the class?
a. 63
b. 61
c. 62
d. 60
18. A chemical compound X is prepared by heating gypsum. It is a white
powder and used as a fireproofing material. Compound X is:
a. baking soda
b. washing soda
c. plaster of Paris
d. sodium hydroxide
19. In the following decomposition reaction, identify the p, q, and r values:
p FeSO4 (s) → q Fe2O3
(s) + r SO2
(g) + s SO3
(g)
a. 1, 1, 1, 2
b. 1, 1, 2, 1
c. 1, 2, 1, 1
d. 2, 1, 1, 1
20. 20 women can complete a work in 15 days. 16 men can complete the
same work in 15 days. Find the ratio between the work efficiency of a man
to a woman.
a. 5:4
b. 4:3
c. 5:3
d. 3:2
21. "Through which process does water spread quickly in soil?"
a. Percolation
b. Secretion
c. Bioturbation
d. Evaporation
22. In which state is the 'Chalo Loku' festival celebrated?
a. Madhya Pradesh
b. Andhra Pradesh
c. Uttar Pradesh
d. Arunachal Pradesh
23. Select the option that is related to the fifth number in the same way as
the second number is related to the first number, and the fourth number
is related to the third number: 10 : 55 :: 12 : 65 :: 18 : ?
a. 92
b. 90
c. 85
d. 95
24. If the sum of two numbers is 430 and their HCF is 43, then which of the
following is the correct pair?
a. 215, 215
b. 86, 344
c. 172, 258
d. 129, 301
25. A water tank is in the form of a cube of side 2 m. It has an inlet in the
shape of a circle with radius 3.5 cm. How long will it take to fill the tank
(approximately), if the water is flowing at a speed of 2 m/s?
a. 19.2 minutes
b. 22 minutes
c. 17.3 minutes
d. 1 hour
26. Which of the following statements is INCORRECT about longitudes and
latitudes?
a. 180° E and 180° W refer to the same longitudinal line.
b. The latitude lines are parallel to each other.
c. Longitudes never intersect each other.
d. Latitudes never intersect each other.
27. A fine beam of light becomes visible when it enters a smoke-filled room
due to:
a. scattering of light
b. refraction of light
c. dispersion of light
d. reflection of light
28. Which of the following terms will replace the question mark (?) in the
given series to make it logically complete?
S2L, P6N, M18P, J54R, G162T, ?
a. D486V
b. D386V
c. E486V
d. D324V
29. Find x if ABCD is a parallelogram as given in the figure below, with two
diagonals AC and BD intersecting at O and OA = x + 3, OB = y + 2, OC = 2x
+ y, OD = 3y.
a. 6
b. 7
c. 5
d. 2
30. Study the diagram of the cross-section of a leaf given below. Which
option shows the correct labelling?
a. a - upper epidermis, b - waxy cuticle, c - stoma, d - air spaces, e -
chloroplast
b. a - upper epidermis, b - lower epidermis, c - guard cell, d - air
spaces, e - chloroplast
c. a - upper epidermis, b - lower epidermis, c - stoma, d - air spaces,
e - nucleus
d. a - waxy cuticle, b - upper epidermis, c - stoma, d - air spaces, e -
nucleus
31. Which of the following statements is/are correct for a current-carrying
solenoid?
(i) It can be used to magnetize a piece of soft iron.
(ii) It acts like a bar magnet.
(iii) The field lines are concentric circles.
a. Both (i) and (iii)
b. Only (i)
c. Both (i) and (ii)
d. Only (ii)
32. V Anantha Nageswaran was appointed as the new Chief Economic
Advisor (CEA) of India, thus replacing:
a. Kaushik Basu
b. Arvind Subramanian
c. Krishnamurthy Subramanian
d. Raghuram Rajan
33. If x + y + z = 11 and xy + yz + zx = 42, then the value of x
2 + y
2 + z
2
is:
a. 41
b. 37
c. 39
d. 43
34. E, F, G, H, I, J, and K are sitting in a straight row, facing north. H is second to
the right of G. F and K are immediate neighbors. Both F and E are
immediate neighbors of I. H and E are immediate neighbors. K is at the
extreme right end of the row. I is at the immediate left of H. Who is at the
immediate left of I?
a. H
b. G
c. F
d. E
35. Raman started from a point and walked a distance of 200 m towards the
north. He then turned left and walked 300 m, turned right and walked 400
m, and then turned right again and walked 300 m. How far is Raman from
the starting point?
(All turns are 90° turns only)
a. 400 m
b. 600 m
c. 200 m
d. 700 m
36. Which of the following numbers will replace the question mark (?) in the
given series: 55, 104, 140, 165, ?
a. 174
b. 192
c. 181
d. 185
37. What important function is performed by SER (Smooth Endoplasmic
Reticulum) in the liver cells of vertebrates?
a. Synthesis of proteins
b. Synthesis of lipids
c. Detoxification of drugs and poisons
d. Synthesis of complex sugars
38. How many water and carbon dioxide molecules take part, respectively, in
the process of photosynthesis as indicated by the following unbalanced
equation?
H2O(l) + CO2
(g) → C6H12O6(aq) + O2
(g) = H2O(l) (In the presence of
sunlight and chlorophyll).
a. 3 and 6
b. 6 and 6
c. 4 and 5
d. 6 and 3
39. Express sin θ in terms of cot θ, where θ is an acute angle.
a.
1⁄√(1 + cot
2θ)
b. √(1 + cot
2θ)
c.
1⁄(1 + cot
2θ)
d. 1 + cot
2θ
40. Which of the following options is the closest approximate value which will
come in place of question mark (?) in the following equation: 2519 ÷ 3 +
441 - 109 = ?
a. 1162
b. 1172
c. 100
d. 105
41. Who among the following has been authorized to act as the Chairperson
of Lokpal, with effect from 28 May 2022?
a. Justice BS Patil
b. Justice Pradip Kumar Mohanty
c. Justice Chittaranjan Sharma
d. Justice P Vishwanath Shetty
42. What will be the approximate angle between the two hands of a clock
(hour hand and minute hand) when the time is 5:47?
a. 7°
b. 10°
c. 2°
d. 17°
43. The ages of two persons differ by 30 years. If 5 years ago, the elder one
was 3 times as old as the younger one, then the present age of the
younger person is:
a. 25 years
b. 20 years
c. 30 years
d. 35 years
44. In a certain code language, 'MFBTF' is written as 'TEASE' and 'UNISE' is
written as 'TMERD'. How will 'TRICK' be written in that language?
a. USIDL
b. USDIL
c. SQHBJ
d. SSHIB
45. The Rajiv Gandhi Khel Ratna award was renamed by the Government of
India as Major Dhyan Chand Khel Ratna Award in the year:
a. 2020
b. 2021
c. 2019
d. 2022
46. If the cost price of an article is 2500 and its selling price is 2375 then the
loss percentage is:
a. 5%
b. 6%
c. 3%
d. 4%
47. A statement is given followed by two assumptions numbered I and II. You
have to assume everything in the statement to be true and decide which
of the given assumptions is/are implicit in the Statement.
Statement: Please register for the event latest by 21 April to collect free
passes. Passes will not be issued without valid address proof.
Assumptions:
I. Voter ID card is a valid address proof.
II. Passes can be purchased at the venue.
a. Both assumptions I and II are implicit
b. Neither assumption I nor II is implicit
c. Only assumption II is implicit
d. Only assumption I is implicit
48. The following chart shows the production of an organization in various
years from 2012 to 2016. Study the chart and answer the question.
What was the percentage increase in production from 2015 to 2016?
a. 50%
b. 25%
c. 40%
d. 21%
49. Three products, ____, ____ and ____ are produced in the chlor-alkali
process.
a. Chlorine, Hydrogen, Na2CO3
b. Chlorine, Oxygen, Na2CO3
c. Hydrogen, Chlorine, NaOH
d. Oxygen, Hydrogen, NaOH
50. Which of the following was a non-violent protest against the British
monopoly on salt production in 1930?
a. Kheda Satyagraha
b. Civil Disobedience Movement
c. Dandi March
d. Khilafat Movement
51. Three statements are followed by three conclusions numbered I, II, and III.
You have to consider these statements to be true, even if they seem to be
at variance with commonly known facts, and decide which of the given
conclusions logically follows from the given statements.
Statements:
All pans are pens.
All pens are brushes.
All brushes are tables.
Conclusions:
I. Some tables are pans.
II. All pens are pans.
III. No pen is a pan.
a. Either conclusion I or conclusion III follows
b. None of the conclusions follow
c. Only conclusion I follows
d. Only conclusion II follows
52. A and B alone can complete a piece of work in 9 days and 12 days,
respectively. In how many days will the work be completed if they work on
alternate days starting with A?
a. 5
1⁄3
b. 11
1⁄3
c. 10
5
⁄6
d. 10
1⁄3
53. The part of an electric motor that reverses the direction of flow of current
in it is:
a. Brush
b. Split ring
c. Soft iron core
d. Coil
54. Select the correct option for the full form of AIDS:
a. Acquired Immune Deficiency Syndrome
b. Aggravated Immune Deficient Syndrome
c. Artificial Immune Deficiency Syndrome
d. Added Immune Deficient Syndrome
55. Which of the following statements is/are true about the principal axis of a
spherical mirror?
(i) It is normal to the mirror.
(ii) Point of incidence always lies on the principal axis.
(iii) Principal focus always lies on the principal axis.
a. Only (ii)
b. Both (i) and (ii)
c. Both (i) and (iii)
d. Only (i)
56. In Jainism, the word 'Jain' is derived from the Sanskrit word 'Jina', which
means ____ implying one who has transcended all human passions.
a. vigour
b. conqueror
c. candour
d. immortal
57. The filament of a bulb is made extremely thin and long in order to
achieve:
a. high current
b. high resistance
c. high resistivity
d. high voltage
58. Refer to the following letter series and answer the question:
Y H S D S Y I R A Y E U G I R O A B U B R X M P Q
How many such vowels are there in the series each of which is
immediately preceded by a consonant and also immediately followed
by a consonant?
a. 8
b. 2
c. 3
d. 5
59. Who became the first Indian woman to win a silver medal in the World
Wrestling Championships in 2021?
a. Sarita Mor
b. Babita Phogat
c. Anshu Malik
d. Mona
60. In economics, the slope of the demand curve is typically:
a. Curved moving from left to right
b. Straight parallel to X-axis from left to right
c. Downward from left to right
d. Upward from left to right
61. The difference in molecular mass between two consecutive homologous
series members will be:
a. 12
b. 8
c. 16
d. 14
62. Which of the following types of images can be obtained on a screen?
(a) Real and enlarged
(b) Real and diminished
(c) Virtual and enlarged
(d) Virtual and diminished
a. Both (a) and (d)
b. Both (b) and (c)
c. Both (a) and (b)
d. Both (c) and (d)
63. Tropical Evergreen Forests are found in which of the following states of
India?
a. Gujarat
b. Kerala
c. Rajasthan
d. Uttar Pradesh
64. What part of the respiratory system prevents the air passage from
collapsing?
a. Trachea
b. Rings of cartilage
c. Spine
d. Ribs
65. On 7 March 2022, the Ministry of Women and Child Development (MWCD),
in partnership with the Ministry of Education and UNICEF, launched the
campaign to bring back out-of-school adolescent girls in India to formal
education. The campaign is called:
a. Balika Padhao Yojana
b. Kanya Shiksha Pravesh Utsav
c. Sukanya Samriddhi Yojana
d. Kishori Shakti Yojana
66. If 3 is added to each odd digit and 1 is subtracted from each even digit in
the number 42514563. What will be the difference between the highest
and lowest digits thus formed?
a. 7
b. 8
c. 9
d. 5
67. In ΔABC, if ∠A = 40° and ∠B = 70°, find the measure of exterior angle at A.
a. 140°
b. 110°
c. 70°
d. 30°
68. What will come in place of the question mark (?) in the following
equation, if ‘+’ is interchanged with ‘÷’ and ‘-’ is interchanged with ‘×’?
100 × 121 + 11 - 7 ÷ 24 - 8 × 33 × 99 + 17 = ?
a. 100
b. 80
c. 101
d. 90
69. Which of the following numbers will replace the question mark (?) in the
given series: 9, 10, 18, 45, 109, ?
a. 132
b. 198
c. 234
d. 218
70. If a ray of light is incident passing through the center of curvature of a
concave mirror, then the angle between the incident ray and the
reflected ray will be equal to:
a. 150°
b. 180°
c. 0°
d. 90°
71. The Periyar River flows in which of the following Indian states?
a. Punjab
b. Odisha
c. Kerala
d. Tripura
72. In how many languages was the Bal Sahitya Puraskar awarded in 2021?
a. 21
b. 24
c. 22
d. 23
73. Select the set in which the numbers are related in the same way as are
the numbers in the following set:
(15, 41, 4)
(19, 71, 5).
a. (10, 8, 2)
b. (13, 55, 3)
c. (41, 125, 4)
d. (44, 91, 3)
74. How many such pairs of letters are there in the word DAUGHTER (in both
forward and backward directions) that have as many letters between
them in the word as there are in the English alphabetical order?
a. 0
b. 4
c. 5
d. 3
75. John bought a laptop at a 2% discount on the marked price. If he paid
₹23,725 for the laptop, what was its marked price?
a. ₹24, 209
b. ₹23,694
c. ₹23,946
d. ₹23,796
76. In which of the following reactions of respiration is oxygen required?
a. Conversion of pyruvate to ethanol
b. Conversion of glucose to pyruvate
c. Conversion of pyruvate to CO2
, H2O, and energy
d. Conversion of pyruvate to CO2
77. The greatest possible length that can be used to measure exactly the
lengths 5 m 25 cm, 7 m 35 cm, and 4 m 90 cm is:
a. 25 cm
b. 55 cm
c. 45 cm
d. 35 cm
78. In this question, a group of numbers/symbols is coded using letters as
per the table given below and the conditions which follow. The correct
combination of codes following the conditions is your answer.
Number/Symbol 7 5 E % & 4 8
Codes S D M U T L A
Conditions:
(i) If the second element is an odd number and the last element is an
even number, the codes for these two (the second and the last elements)
are to be interchanged.
(ii) If the third element is an even number and the fifth element is a
symbol, the codes for these two (the third and the fifth elements) are to
be interchanged.
(iii) If the fifth element is a symbol and the sixth element is also a symbol,
both these elements (the fifth and the sixth elements) are to be coded as
R.
Number/Symbol: E 7 5 % & 4 % 8
a. MSDUTLUA
b. MADURRUS
c. MADUTLUS
d. MATUDLUS
79. Find the simple interest on ₹2,000 at 8.25% per annum for the period from
7 February 2022 to 20 April 2022.
a. ₹33
b. ₹35
c. ₹31
d. ₹23
80. The value of 27 + 3 - 27 × 0 + 1 =
a. 3
b. 12
c. 10
d. -18
81. What is the name of the indigenously developed High-Speed Expandable
Aerial Target System that was successfully flight-tested by the Defence
Research and Development Organisation (DRDO) in December 2021?
a. Pralay
b. Nirbhay
c. Abhyas
d. Shaurya
82. The roots of the equation ax
2 + bx + c = 0 are equal if:
a. b
2 = 4ac
b. b
2 > 4ac
c. b
2 < 4ac
d. b = 4ac
83. P, Q, R, S, T, and U are six giraffes in a jungle, each with a different height. S
is taller than Q. P is taller than R. S is shorter than T. Q is taller than P but
shorter than T. T is shorter than U. Which of the six giraffes is the shortest?
a. R
b. T
c. Q
d. P
84. Which of the following relations represents the correct mathematical
form of Ohm’s law?
a. I = V
2
/R
b. V = IR
c. I = R/V
d. R = I/V
85. Three statements are given, followed by two conclusions numbered I and
II. Assuming the statements to be true, even if they seem to be at
variance with commonly known facts, decide which of the conclusions
logically follows from the statements.
Statements:
All computers are markers.
All erasers are markers.
All pens are erasers.
Conclusions:
I. No pen is a computer.
II. Some erasers are computers.
a. Both conclusions I and II follow
b. Only conclusion II follows
c. Only conclusion I follows
d. Neither conclusion I nor II follows
86. Which of the following groups of organisms help in keeping the
environment clean?
a. Algae and Lichens
b. Algae and Protozoa
c. Protozoa and Lichens
d. Bacteria and Fungi
87. If 6, 18, 39, and x are in proportion, then find the value of x.
a. 115
b. 139
c. 117
d. 112
88. Five friends A, S, D, F, and G took admission in a coaching institute in
consecutive months of the same calendar year. A took admission in May.
Only D took admission between F and S, while G took admission exactly
one month after A. F was the last one to take admission. In which month
did D take admission?
a. July
b. August
c. September
d. June
89. The value of is:
a. 0.82
b. 0.78
c. 0.62
d. 0.58
90. The following pie chart shows the percentage distribution of the
expenditure incurred in manufacturing a scientific calculator. If 500
products are manufactured and the direct labour cost on them amounts
to ₹1,00,000, what should be the selling price of each product so that the
manufacturer can earn a profit of 44%?
0.6 + ( 0.81 − ( 0.0144 + 0.5
0.4 ))
a. ₹2,600
b. ₹1,200
c. ₹2,120
d. ₹2,100
91. Rajan started from a point and walked a distance of 200 m towards the
north. He then turned left and walked 300 m, turned right and walked 400
m, and then turned left and walked 100 m. In which direction is Rajan
facing now?
(All turns are 90° turns only)
a. West
b. North
c. South
d. East
92. Which of the following compounds is/are used in black and white
photography?
a. Silver chloride
b. Silver oxide
c. Silver bromide
d. Silver chloride and silver bromide both
93. The Panchayati Raj system was first implemented in which state of India?
a. Madhya Pradesh
b. Uttar Pradesh
c. Rajasthan
d. West Bengal
94. Which of the following statements are correct?
(i) Tin-lead alloy is used for making fuse wires.
(ii) Fuse is connected to the live wire.
(iii) The material chosen for making fuse should have a high melting
point.
a. Both (i) and (iii)
b. Both (i) and (ii)
c. Both (ii) and (iii)
d. (i), (ii), and (iii)
95. The average speed of Gaurav during a two-way journey is 15 km/h. If he
walked a distance of 20 km every hour while going, then his speed while
returning will be:
a. 15 km/h
b. 10 km/h
c. 12 km/h
d. 11 km/h
96. In the given letter-cluster pairs, the first letter-cluster is related to the
second letter-cluster following a certain logic. Select the pair that follows
the same logic.
PRO : LJM
ZEN : BWN
a. GUN : UGM
b. KLP : QPL
c. NYZ : MCB
d. DEN : WWN
97. P, L, K, U, J, and Y went for a trip to Rajasthan and Uttar Pradesh in six
consecutive months of the same calendar year. P preferred to visit
Rajasthan in the month of November. U visited Uttar Pradesh exactly two
months prior to P. Y preferred the month of July. K preferred to visit
Rajasthan exactly between the months preferred by Y and U. L visited
exactly one month prior to Y. In which month did K visit?
a. September
b. November
c. October
d. August
98. In which year did the Supreme Court give its judgment in the "Satbir
Singh versus the State of Haryana" case, which was related to dowry
issues?
a. 2019
b. 2020
c. 2022
d. 2021
99. The table given below shows four methods of contraception and their
modes of action. Which option shows the correct matching?
Method Mode of Action
A. Copper-T i. Egg will not reach uterus
B. Oral pills ii. Sperms do not reach cervix
C. Condom iii. Prevent implantation
D. Tubectomy iv. Prevent fertilization
a. A-i, B-ii, C-iii, D-iv
b. A-ii, B-i, C-iv, D-iii
c. A-iv, B-iii, C-ii, D-i
d. A-iv, B-i, C-ii, D-iii
100. Six persons, A, B, C, D, E, and F, are sitting around a circular table. All are
facing the center of the table. Only two persons are sitting between D
and A. F is to the immediate right of C. E is second to the right of D. Who
is sitting to the immediate right of F?
a. A
b. D
c. C
d. E
Answers
1. Answer: a
Explanation:
Given that the perimeter of one face of a cube is 24 cm, each side of the square face
of the cube is 24 ÷ 4 = 6 cm. The volume of a cube is side³, so volume = 6 × 6 × 6 = 216
cm3
.
2. Answer: c
Explanation:
Based on the diagram's data, the correct interpretation is that the number of medal
winners who are also girls is 27.
3. Answer: a
Explanation:
Based on the hierarchy in the statement, only conclusion I follows logically.
4. Answer: b
Explanation:
With increasing atomic number across a period, nuclear charge increases, pulling
electrons closer and reducing atomic radii.
5. Answer: d
Explanation:
The Central Statistics Office has been the primary agency for national economic
data since 1956.
6. Answer: b
Explanation:
Let Srinivas' current age be x and his wife's be x-4. After 5 years, their average age =
33 years. Solving, we find the wife's current age is 26 years.
7. Answer: c
Explanation:
There is no provision in the Indian Constitution for a "Public Health Emergency" under
Article 358.
8. Answer: a
Explanation:
On February 2022, Mansukh Mandaviya launched the policy on behalf of ICMR/DHR
for fostering biomedical innovations.
9. Answer: d
Explanation:
To solve this problem, let’s break it down with the given conditions:
1. One year ago, the ratio of Saketh’s age to Tilak’s age was 5:6.
2. Four years hence, this ratio will be 6:7.
Let’s denote:
Saketh’s age one year ago as 5x.
Tilak’s age one year ago as 6x.
Step 1: Express the present ages of Saketh and Tilak in terms of x
Since this was one year ago, their present ages will be:
Saketh’s present age = 5x + 1
Tilak’s present age = 6x + 1
Step 2: Set up the equation based on the condition for ages four years
hence
Four years hence, their ages will be:
Saketh’s age = 5x + 1 + 4 = 5x + 5
Tilak’s age = 6x + 1 + 4 = 6x + 5
According to the problem, the ratio of their ages four years hence is 6:7. Thus,
(5x + 5) / (6x + 5) = 6 / 7
Step 3: Cross-multiply to solve for x
We get:
7(5x + 5) = 6(6x + 5)
Expanding both sides:
35x + 35 = 36x + 30
Rearrange to isolate x:
35 - 30 = 36x - 35x
5 = x
Step 4: Calculate Saketh’s present age
Substitute x = 5 back into Saketh’s present age formula:
5x + 1 = 5(5) + 1 = 25 + 1 = 26
Answer: The present age of Saketh is 26 years.
10. Answer: d
Explanation:
The equation (x + 3)
2 = 0 represents a quadratic form with degree 2 in variable x.
11. Answer: c
Explanation:
1 cm = 0.00001 km. Thus, 36 cm = 36 × 0.00001 km = 0.00036 km.
12. Answer: b
Explanation:
According to Newland's law of octaves, the first element is hydrogen, and the last
element known during his time was thorium.
13. Answer: a
Explanation:
Sum of 11 numbers = 11 × 41 = 451; Sum of first five numbers = 5 × 18 = 90; Sum of last
five numbers = 5 × 64 = 320; Sixth number = 451 - (90 + 320) = 41.
14. Answer: b
Explanation:
X and Y are two alloys of Gold and Platinum prepared by mixing the metals in the
ratio of 5:2 and 5:7, respectively. If we melt equal quantities of the alloys to form a
third alloy Z, then the ratio of the quantity of Gold to the quantity of Platinum in Z will
be:
Solution:
Given:
Alloy X has Gold and Platinum in the ratio 5:2.
Alloy Y has Gold and Platinum in the ratio 5:7.
If we melt equal quantities of the alloys, we need to find the ratio of Gold to Platinum
in the resulting alloy Z.
Step-by-Step Solution:
1. Assume equal quantities of alloys X and Y are melted. Let the quantity of each
alloy (X and Y) be 1 unit.
2. Determine the quantities of Gold and Platinum in each alloy:
In Alloy X (ratio 5:2):
Gold = 5/(5+2) × 1 = 5/7
Platinum = 2/(5+2) × 1 = 2/7
In Alloy Y (ratio 5:7):
Gold = 5/(5+7) × 1 = 5/12
Platinum = 7/(5+7) × 1 = 7/12
3. Combine the quantities of Gold and Platinum in the new alloy Z:
Total Gold in Z = 5/7 + 5/12
Total Platinum in Z = 2/7 + 7/12
4. Find a common denominator to add these fractions:
For Gold:
(5/7) + (5/12) = (5 × 12 + 5 × 7) / (7 × 12) = (60 + 35) / 84 = 95/84
For Platinum:
(2/7) + (7/12) = (2 × 12 + 7 × 7) / (7 × 12) = (24 + 49) / 84 = 73/84
5. The ratio of Gold to Platinum in Z:
Gold : Platinum = (95/84) : (73/84) = 95 : 73
Answer: The ratio of the quantity of Gold to the quantity of Platinum in alloy Z will be
95:73.
15. Answer: c
Explanation:
In the series, only one symbol meets the criteria of being immediately preceded by a
number and immediately followed by a letter.
16. Answer: c
Explanation:
Jawaharlal Nehru was the Chairman of the Planning Commission at the start of the
First Five Year Plan.
17. Answer: c
Explanation:
Total students = (Rank from top + Rank from bottom - 1) = 18 + 45 - 1 = 62.
18. Answer: c
Explanation:
Plaster of Paris is formed by heating gypsum, and it is widely used as a fireproofing
material.
19. Answer: d
Explanation:
Question: In the following decomposition reaction, identify the values of p, q, r, and s:
p FeSO4 (s) → q Fe2O3
(s) + r SO2
(g) + s SO3
(g)
Solution:
To determine the values of p, q, r, and s, let’s balance the decomposition reaction
step-by-step.
Step 1: Write the decomposition products of FeSO4
When iron(II) sulfate (FeSO4) decomposes upon heating, it typically breaks down
into iron(III) oxide (Fe2O3
), sulfur dioxide (SO2
), and sulfur trioxide (SO3
).
Step 2: Balance the equation
1. Balance the iron (Fe) atoms:
To form Fe2O3
, we need 2 iron (Fe) atoms on the left side. This requires 2
molecules of FeSO4.
Thus, the equation becomes:
2 FeSO4 → Fe2O3 + r SO2 + s SO3
2. Balance the sulfur (S) atoms:
We have 2 molecules of FeSO4, each containing 1 sulfur atom, giving us a total
of 2 sulfur atoms on the left. This means we need 2 sulfur atoms on the right
side, which must match the total sulfur atoms in SO2 and SO3
.
Let’s assume r = 1 for SO2 and s = 1 for SO3
to match the two sulfur atoms:
2 FeSO4 → Fe2O3 + SO2 + SO3
3. Balance the oxygen (O) atoms:
On the left side, we have 2 × 4 = 8 oxygen atoms from FeSO4.
On the right side, Fe2O3 contains 3 oxygen atoms, SO2 has 2 oxygen atoms, and
SO3 has 3 oxygen atoms.
Calculating the total oxygen atoms on the right side:
3 + 2 + 3 = 8 oxygen atoms
The oxygen atoms are balanced on both sides.
Conclusion:
The balanced reaction is:
2 FeSO4 (s) → Fe2O3
(s) + SO2
(g) + SO3
(g)
Values of p, q, r, and s:
p = 2
q = 1
r = 1
s = 1
20. Answer: a
Explanation:
Solution:
Let's solve this step-by-step.
Step 1: Calculate the total work
If 20 women can complete the work in 15 days, then the total work (in terms of
woman-days) is:
Total work = 20 women × 15 days = 300 woman-days
Similarly, if 16 men can complete the work in 15 days, then the total work (in terms of
man-days) is:
Total work = 16 men × 15 days = 240 man-days
Step 2: Determine the daily work rate of a woman and a man
Since 300 woman-days = 240 man-days for the same work, we can set up the
following relationship:
20 women × 15 days = 16 men × 15 days
This simplifies to:
20 women = 16 men
Dividing both sides by 4, we get:
5 women = 4 men
Step 3: Find the efficiency ratio of a man to a woman
Now, we know that 5 women have the same work capacity as 4 men.
This means the efficiency of 1 man is equal to the efficiency of (5/4) women.
Therefore, the ratio of the efficiency of a man to a woman is:
5:4
Answer:
The ratio between the work efficiency of a man to a woman is 5:4.
21. Answer: a
Explanation:
The correct answer is Percolation. Percolation is the process by which water moves
downward through the soil, particularly through pores or spaces between soil
particles. This process allows water to spread quickly and evenly throughout the soil,
ensuring that plants can access moisture and nutrients at various depths.
Here’s a brief description of each option for better understanding:
Evaporation: This is the process by which water changes from a liquid to a gas
and escapes into the atmosphere. It does not contribute to water spreading
within the soil.
Secretion: Secretion typically refers to the process by which organisms release
substances, often unrelated to soil water movement.
Bioturbation: This is the process by which soil organisms, such as earthworms,
move soil particles, but it does not directly involve water movement or
spreading within the soil.
Percolation: This is the downward movement of water through soil, making it
the correct answer as it facilitates water distribution within the soil.
Conclusion: Therefore, the process by which water spreads quickly in soil is
Percolation.
22. Answer: d
Explanation:
'Chalo Loku' is a festival celebrated by the Nocte tribe in Arunachal Pradesh. It marks
the harvesting season and includes rituals, dances, and festivities important to the
cultural identity of the region.
23. Answer: d
Explanation:
Let’s analyze the relationship between each pair of numbers.
Step 1: Find the pattern in the first pair (10 : 55)
We see that:
10 × 5 + 5 = 50 + 5 = 55
So, the pattern here is: Multiply the first number by 5 and then add 5.
Step 2: Check if the same pattern applies to the second pair (12 : 65)
Using the same pattern:
12 × 5 + 5 = 60 + 5 = 65
This matches, so the pattern is consistent.
Step 3: Apply the same pattern to the third pair (18 : ?)
Using the pattern:
18 × 5 + 5 = 90 + 5 = 95
Answer:
The number that should replace the question mark is 95.
24. Answer: d
Explanation:
The two numbers must be multiples of their HCF, 43. Only the pair 129 and 301 meets
this criterion while summing to 430, making it the correct pair.
25. Answer: c
Explanation:
The volume of the cubic tank is 2 × 2 × 2 = 8 cubic meters. The inlet has a circular
cross-section with radius 3.5 cm, so the area of the inlet is 𝜋 × (0.035 ) 2 ≈ 0.00385
square meters. With water flowing at 2 m/s, the volume flow rate is 0.00385 × 2 =
0.0077 cubic meters per second. Therefore, the time to fill the tank is 8 /0.0077 ≈ 1039
seconds, or roughly 17.3 minutes.
26. Answer: c
Explanation:
Longitudes meet at the poles, so they do intersect. This makes the statement
"Longitudes never intersect each other" incorrect.
27. Answer: a
Explanation:
Scattering of light occurs when particles in the air (smoke particles in this case)
redirect the beam in various directions, making the light visible to the eye.
28. Answer: a
Explanation:
The series involves a decreasing sequence of letters and an increasing numerical
pattern. Following this pattern, D486V logically fits as the next term in the series.
29. Answer: d
Explanation:
In a parallelogram, the diagonals bisect each other. This means that:
OA = OC
OB = OD
Step 1: Set up equations based on the properties of diagonals in a
parallelogram
Since OA = OC, we can write:
x + 3 = 2x + y
Since OB = OD, we can write:
y + 2 = 3y
Step 2: Solve for y using the second equation
From y + 2 = 3y, we can rearrange to isolate y:
y - 3y = -2
-2y = -2
y = 1
Step 3: Substitute y = 1 into the first equation to solve for x
Substitute y = 1 into x + 3 = 2x + y:
x + 3 = 2x + 1
Rearrange to isolate x:
3 - 1 = 2x - x
2 = x
Answer:
The value of x is 2.
30. Answer: b
Explanation:
In the cross-section of a leaf, the waxy cuticle prevents water loss, the upper
epidermis provides structure, and the stoma allows for gas exchange. Option 2
correctly labels these parts.
31. Answer: c
Explanation:
A current-carrying solenoid creates a magnetic field similar to a bar magnet, with
north and south poles. This solenoid can magnetize soft iron and behaves like a bar
magnet, making statements (i) and (ii) correct.
32. Answer: c
Explanation:
V Anantha Nageswaran replaced Krishnamurthy Subramanian as the Chief
Economic Advisor in India. This transition was part of the country's efforts to bring
fresh perspectives to its economic strategies.
33. Answer: b
Explanation:
We are given:
x + y + z = 11
xy + yz + zx = 42
We need to find the value of x
2 + y
2 + z
2
.
Step 1: Use the identity for the sum of squares
We know that:
x
2 + y
2 + z
2 = (x + y + z)
2 - 2(xy + yz + zx)
Step 2: Substitute the known values
Substitute x + y + z = 11 and xy + yz + zx = 42 into the equation:
x
2 + y
2 + z
2 = (11)
2 - 2(42)
Step 3: Simplify the expression
Calculate (11)
2 and 2(42):
(11)
2 = 121
2(42) = 84
Now, substitute these values back:
x
2 + y
2 + z
2 = 121 - 84
= 37
Answer:
The value of x
2 + y
2 + z
2
is 37.
34. Answer: b
Explanation:
Let's go through each condition step-by-step to determine the seating
arrangement.
Step 1: Identify K's Position
Since K is at the extreme right end of the row, we place K in the seventh position:
_ _ _ _ _ _ K
Step 2: Determine H's Position Relative to G
H is second to the right of G, so if G is in the third position, H would be in the fifth
position:
_ _ G _ H _ K
Step 3: Place I Relative to H
We are told that I is at the immediate left of H. So, I must be in the fourth position:
_ _ G I H _ K
Step 4: Place F and E as Immediate Neighbors of I
Since both F and E are immediate neighbors of I, they must occupy the second and
sixth positions:
_ F G I H E K
Step 5: Place J in the Remaining Position
The only position left is the first position, so J must be there:
J F G I H E K
Step 6: Determine Who is to the Immediate Left of I
In the arrangement J F G I H E K, the person to the immediate left of I is G.
Answer:
The person at the immediate left of I is G.
35. Answer: b
Explanation:
36. Answer: c
Explanation:
The pattern of differences between terms is increasing. Following this pattern, the
next term after 165 should be 181.
37. Answer: c
Explanation:
The Smooth Endoplasmic Reticulum (SER) in liver cells is primarily involved in
detoxifying drugs and poisons, making it essential for waste processing and toxin
breakdown.
38. Answer: b
Explanation:
The balanced equation for photosynthesis is:
6 H2O(l) + 6 CO2
(g) → C6H12O6(aq) + 6 O2
(g)
Therefore, 6 molecules of water and 6 molecules of carbon dioxide are required for
photosynthesis to produce one molecule of glucose and six molecules of oxygen.
39. Answer: a
Explanation:
Using the trigonometric identity sin
2θ + cos
2θ = 1 and cot θ = cos θ/sin θ, we can
express sin θ in terms of cot θ as 1/√(1 + cot
2θ).
40. Answer: b
Explanation:
Let's solve the equation step-by-step.
Step 1: Divide 2519 by 3
2519 ÷ 3 = 839.67 (approximately 840)
Step 2: Add 441 to the result
839.67 + 441 = 1280.67 (approximately 1281)
Step 3: Subtract 109 from the result
1280.67 - 109 = 1171.67 (approximately 1172)
Answer:
The closest approximate value for the question mark (?) is 1172.
41. Answer: b
Explanation:
Justice Pradip Kumar Mohanty was appointed as the acting Chairperson of Lokpal
starting on 28 May 2022, overseeing cases related to anti-corruption and ensuring
accountability.
42. Answer: a
Explanation:
The minute hand at 47 minutes marks 282° (47 × 6), and the hour hand at 5:47 is
173.5°. The angle between them is approximately 7°.
43. Answer: b
Explanation:
Let the present age of the younger person be x years.
Then, the present age of the elder person will be x + 30 years (since their ages differ
by 30 years).
Step 1: Set up the equation based on the information from 5 years ago
Five years ago, the age of the younger person was x - 5, and the age of the elder
person was (x + 30) - 5 = x + 25.
According to the problem, 5 years ago, the elder one was 3 times as old as the
younger one:
x + 25 = 3(x - 5)
Step 2: Solve for x
Expand and simplify the equation:
x + 25 = 3x - 15
Rearrange to bring terms involving x to one side:
25 + 15 = 3x - x
40 = 2x
Divide both sides by 2:
x = 20
Answer:
The present age of the younger person is 20 years.
44. Answer: c
Explanation:
The code involves reversing the sequence and replacing letters with others a set
distance away. Applying this, TRICK translates to SQHBJ.
45. Answer: b
Explanation:
The renaming of the Rajiv Gandhi Khel Ratna Award to Major Dhyan Chand Khel
Ratna Award occurred in 2021 as a tribute to the legendary hockey player.
46. Answer: a
Explanation:
Given:
Cost Price (CP) = 2500
Selling Price (SP) = 2375
Step 1: Calculate the loss amount
Loss = Cost Price - Selling Price
Loss = 2500 - 2375 = 125
Step 2: Calculate the loss percentage
Loss Percentage = (Loss / Cost Price) × 100%
Loss Percentage = (125 / 2500) × 100%
Simplify the fraction:
Loss Percentage = (1/20) × 100% = 5%
Answer:
The loss percentage is 5%.
47. Answer: b
Explanation:
The statement does not mention specific forms of address proof nor does it say that
passes are purchasable at the venue, so neither assumption is implicit.
48. Answer: a
Explanation:
If production in 2015 was X, a 50% increase would make 2016’s production 1.5X,
equating to a 50% increase from 2015 to 2016.
49. Answer: c
Explanation:
The chlor-alkali process produces Chlorine, Hydrogen, and Sodium Hydroxide
(NaOH) through the electrolysis of brine.
50. Answer: c
Explanation:
The Dandi March, led by Mahatma Gandhi in 1930, was a non-violent protest
against the British monopoly on salt production.
51. Answer: c
Explanation:
Using syllogism logic, the statement chain "All pans are pens," "All pens are brushes,"
and "All brushes are tables" implies that some tables are pans, making conclusion I
valid.
52. Answer: d
Explanation:
Given:
A can complete the work alone in 9 days.
B can complete the work alone in 12 days.
Step 1: Calculate the work done by A and B per day
The amount of work A can do in one day = 1/9
The amount of work B can do in one day = 1/12
Step 2: Calculate the work done in two days (one cycle of A and B
working on alternate days)
If A works on the first day and B works on the second day, then:
Work done in two days = (1/9) + (1/12)
Finding a common denominator (36) to add these fractions:
Work done in two days = (4/36) + (3/36) = 7/36
Step 3: Calculate how many such cycles are needed to complete the
work
Since the total work is 1, let’s divide 1 by the work done in each two-day cycle:
Number of cycles required = 1 / (7/36) = 36/7 ≈ 5.14
Step 4: Calculate the exact number of days
This means 5 complete two-day cycles (10 days) will be nearly enough, but not
quite complete the work.
After 5 cycles, the work done = 5 × (7/36) = 35/36
Remaining work = 1 - 35/36 = 1/36
Step 5: Complete the remaining work
On the next day (10 + 1/3 days), A will work and complete exactly 1/9 of the work.
Since 1/9 is enough to cover the remaining 1/36 of the work, the work is completed
within that day.
Answer:
The work will be completed in 10 1/3 days.
53. Answer: b
Explanation:
In an electric motor, the split ring commutator reverses the direction of current,
allowing for continuous rotation of the motor in one direction.
54. Answer: a
Explanation:
The acronym AIDS stands for "Acquired Immune Deficiency Syndrome," a disease
caused by the HIV virus that impacts the immune system.
55. Answer: c
Explanation:
Let's examine each statement:
(i) It is normal to the mirror.
The principal axis is an imaginary line that passes through the center of curvature
and the pole of the spherical mirror. This line can be considered normal to the
mirror at the pole, as it is perpendicular to the tangent of the mirror at that point. So,
this statement is true.
(ii) Point of incidence always lies on the principal axis.
The point of incidence can be anywhere on the mirror’s surface where a ray of light
strikes, not specifically on the principal axis. So, this statement is false.
(iii) Principal focus always lies on the principal axis.
The principal focus of a spherical mirror is always located on the principal axis. This
is true for both concave and convex mirrors, where the focus lies along this axis.
Thus, this statement is true.
Answer:
Statements (i) and (iii) are true about the principal axis of a spherical mirror.
56. Answer: b
Explanation:
The term 'Jain' comes from 'Jina,' meaning 'conqueror' – one who has conquered
inner passions to achieve spiritual liberation in Jain philosophy.
57. Answer: b
Explanation:
The filament's long and thin design creates high resistance, allowing it to heat up
and emit light when electricity flows through it.
58. Answer: a
Explanation:
By scanning through the series, we count 8 vowels that are each surrounded by
consonants on both sides.
59. Answer: c
Explanation:
Anshu Malik became the first Indian woman to win a silver medal at the 2021 World
Wrestling Championships, making history in the sport for India.
60. Answer: c
Explanation:
The slope of the demand curve is generally downward from left to right,
representing an inverse relationship between price and quantity demanded.
61. Answer: d
Explanation:
In a homologous series, each consecutive member differs by a -CH2 group, which
has a molecular mass of 14 (12 from carbon and 2 from hydrogen).
62. Answer: c
Explanation:
Real images, which can be either enlarged or diminished, can be projected onto a
screen. Virtual images cannot be projected onto a screen as they do not form real
light intersections.
63. Answer: b
Explanation:
Tropical Evergreen Forests are dense and found in regions with high rainfall, such as
Kerala, due to its tropical climate and consistent rainfall.
64. Answer: b
Explanation:
Cartilaginous rings around the trachea prevent the air passage from collapsing,
ensuring it remains open for air flow during breathing.
65. Answer: b
Explanation:
The campaign “Kanya Shiksha Pravesh Utsav” was launched to re-integrate
adolescent girls into the formal education system in collaboration with UNICEF.
66. Answer: a
Explanation:
Solution:
Let's go through each digit in the number 42514563 and apply the given conditions:
4 (even) → 4 - 1 = 3
2 (even) → 2 - 1 = 1
5 (odd) → 5 + 3 = 8
1 (odd) → 1 + 3 = 4
4 (even) → 4 - 1 = 3
5 (odd) → 5 + 3 = 8
6 (even) → 6 - 1 = 5
3 (odd) → 3 + 3 = 6
After applying the transformations, the new number formed is 31843856.
Step 2: Identify the highest and lowest digits in the new number
The highest digit is 8.
The lowest digit is 1.
Step 3: Calculate the difference
Difference = Highest digit - Lowest digit = 8 - 1 = 7
Answer:
The difference between the highest and lowest digits thus formed is 7.
67. Answer: a
Explanation:
The exterior angle is equal to the sum of the two opposite interior angles. Thus,
exterior angle at A = 70° + 70° = 140°.
68. Answer: a
Explanation:
After substituting, we get: 100 × 121 + 11 - 7 ÷ 24 - 8 × 33 × 99 + 17 = ?, which simplifies
to approximately 100 as the closest answer.
69. Answer: c
Explanation:
Observing the increasing pattern, we see each term is calculated by a specific
increase rule, leading the next number to be 234.( 1
3
, 2
3
, 3
3
, 4
3
, 5
3
)
70. Answer: c
Explanation:
When a ray passes through the center of curvature, it reflects back along the same
path, creating an angle of 0° between incident and reflected rays.
71. Answer: c
Explanation:
The Periyar River is the longest river in Kerala, flowing through significant parts of the
state and serving as a major water source.
72. Answer: c
Explanation:
The Bal Sahitya Puraskar was awarded in 22 languages by the Sahitya Akademi in
2021, recognizing children's literature across diverse Indian languages.
73. Answer: a
Explanation:
The pair follows a relation where operations on whole numbers are involved. Pair (10,
8, 2) shows a similar relation.
74. Answer: b
Explanation:
By analyzing each pair, we find that there are four pairs of letters in DAUGHTER that
maintain the same relative spacing as in the alphabetical order.
75. Answer: a
Explanation:
Let the marked price of the laptop be ₹x.
Since John received a 2% discount, he paid 98% of the marked price.
So, 98% of x = ₹23,725
Step 1: Set up the equation
0.98 × x = 23725
Step 2: Solve for x
x = 23725 / 0.98
x = 24209.18
Answer: The marked price of the laptop was approximately ₹24,209.18.
76. Answer: c
Explanation:
Oxygen is needed for aerobic respiration, specifically in the conversion of pyruvate
to carbon dioxide, water, and energy.
77. Answer: d
Explanation:
To find the greatest possible length that can measure all three lengths exactly, we
need to find the HCF (Highest Common Factor) of the given lengths.
Convert each length to centimeters:
5 m 25 cm = (5 × 100) + 25 = 525 cm
7 m 35 cm = (7 × 100) + 35 = 735 cm
4 m 90 cm = (4 × 100) + 90 = 490 cm
Step 1: Find the HCF of 525, 735, and 490
Using the Euclidean method or prime factorization:
The prime factors of 525 are 5, 5, 3, and 7. So, 525 = 5 × 5 × 3 × 7.
The prime factors of 735 are 5, 7, 7, and 3. So, 735 = 5 × 3 × 7 × 7.
The prime factors of 490 are 5, 7, and 7, and 2. So, 490 = 5 × 7 × 7 × 2.
The common factors are 5 and 7, so the HCF is 5 × 7 = 35.
Answer:
The greatest possible length that can be used to measure exactly the given lengths
is 35 cm.
78. Answer: c
Explanation:
Applying the coding rules provided, the correct answer is MADUTLUS after following
all the conditions for symbol interchange.
79. Answer: a
Explanation:
Given:
Principal (P) = ₹2,000
Rate of Interest (R) = 8.25% per annum
Time (T) = Number of days from 7 February 2022 to 20 April 2022
Step 1: Calculate the Time Period in Days
From 7 February 2022 to 28 February 2022 = 21 days
March 2022 = 31 days
From 1 April 2022 to 20 April 2022 = 20 days
Total days = 21 + 31 + 20 = 72 days
Step 2: Convert Days to Years
Since the rate is per annum, we need to convert days to years:
T = 72 / 365 ≈ 0.1973 years
Step 3: Calculate Simple Interest
Now, substitute the values into the formula:
SI = (2000 × 8.25 × 0.1973) / 100
SI = (3250.5 × 0.1973) / 100
SI = 32.11 ≈ ₹33
Answer:
The simple interest on ₹2,000 at 8.25% per annum for the period from 7 February
2022 to 20 April 2022 is approximately ₹33.
80. Answer: c
Explanation:
According to the order of operations, 27 × 0 is calculated first (equals 0), and the
remaining terms add to give 10.
81. Answer: c
Explanation:
The indigenously developed High-Speed Expandable Aerial Target System tested by
DRDO is called "Abhyas." It is used to simulate aerial targets for training and defense
testing purposes.
82. Answer: a
Explanation:
The condition for a quadratic equation ax
2 + bx + c = 0 to have equal roots is that
the discriminant should be zero, i.e., b
2 = 4ac.
83. Answer: a
Explanation:
Let’s analyze the given information step-by-step to determine the order of heights
from shortest to tallest.
S is taller than Q.
This means Q is shorter than S.
P is taller than R.
This means R is shorter than P.
S is shorter than T.
This places T taller than S.
Q is taller than P but shorter than T.
This places Q between P and T in height.
T is shorter than U.
This means U is the tallest among the six giraffes.
Arranging the Information
From the clues, we can arrange the giraffes in order from shortest to tallest:
Since R is shorter than P, and Q is taller than P, R must be the shortest.
Then we have P, who is shorter than Q but taller than R.
Q is taller than P but shorter than S, so the order so far is R < P < Q < S.
S is shorter than T, so T is next: R < P < Q < S < T.
Finally, T is shorter than U, so U is the tallest.
The final order from shortest to tallest is: R < P < Q < S < T < U.
Answer:
The shortest giraffe is R.
84. Answer: b
Explanation:
Ohm’s law states that the voltage across a conductor is directly proportional to the
current flowing through it, represented by the formula V = IR.
85. Answer: d
Explanation:
Given the statements, it logically follows that no pen is a computer, but there is no
basis for assuming some erasers are computers. Hence, Neither conclusion I nor II
follows
86. Answer: d
Explanation:
Bacteria and fungi are decomposers that help in breaking down organic matter,
playing a crucial role in cleaning the environment by recycling nutrients.
87. Answer: c
Explanation:
Setting up the proportion 6:18::39:x, we solve for x using cross-multiplication,
resulting in x = 117.
88. Answer: b
Explanation:
Let's analyze the given information step-by-step:
A took admission in May.
This places A’s admission in May.
G took admission exactly one month after A.
Since A took admission in May, G took admission in June.
Only D took admission between F and S.
This means D must be between F and S in the sequence.
F was the last one to take admission.
This places F as the last, so F took admission in September (fifth month in the
sequence).
Now we have the following information:
A took admission in May.
G took admission in June.
F took admission in September.
Since only D took admission between F and S, and F is in September, S must have
taken admission in July, placing D in August.
Final Order of Admission Months:
May (A), June (G), July (S), August (D), September (F)
Answer:
D took admission in August.
89. Answer: c
Explanation:
Let's evaluate each part of the expression step-by-step.
Calculate 0.81:
Calculate :
Calculate :
Evaluate the inner expression :
Subtract from :
Add 0.6 to the result:
Answer:
The value of the expression is 0.58.
90. Answer: b
Explanation:
Solution:
Given:
Total number of products manufactured = 500
Direct labour cost = ₹1,00,000
Direct labour cost percentage = 24% (from the pie chart)
Desired profit = 44%
0.81 = 0.9
0.0144
0.0144 = 0.12
0.5
0.4
0
0
.
.
5
4 = 0.8
0.0144 + 0.5
0.4
0.12 + 0.8 = 0.92
0.81
0.9 − 0.92 = −0.02
0.6 + (−0.02) = 0.58
Step 1: Find the Total Manufacturing Cost
From the pie chart, the Direct Labour Cost is 24% of the total manufacturing cost.
Let the total manufacturing cost be ₹X.
Since the direct labour cost is 24% of the total cost, we can write:
Solving for X:
Therefore, the total manufacturing cost is approximately ₹4,16,667.
Step 2: Calculate the Cost Price per Product
Cost Price per product =
Cost Price per product =
Cost Price per product = ₹833.33
Step 3: Calculate the Selling Price per Product with 44% Profit
To make a profit of 44%, we calculate the selling price per product as follows:
Selling Price per product = Cost Price per product ×
Selling Price per product = 833.33 × 1.44
Selling Price per product = ₹1200
Answer:
The selling price of each product should be ₹1200 to earn a 44% profit.
0.24 × X = 1, 00, 000
X = 0.24
1,00,000
X = 4, 16, 666.67
Number of Products
Total Manufacturing Cost
500
4,16,667
1.44
91. Answer: a
Explanation:
Let's analyze Rajan's movements step-by-step:
1. First Move: Rajan walks 200 m north.
2. Second Move: He turns left and walks 300 m. Now he is facing west.
3. Third Move: He turns right and walks 400 m. Now he is facing north.
4. Fourth Move: He turns left and walks 100 m. Now he is facing west.
Answer:
Rajan is facing west after completing all his movements.
92. Answer: d
Explanation:
Both silver chloride and silver bromide are light-sensitive compounds used in black
and white photography due to their ability to form images on exposure to light.
93. Answer: c
Explanation:
The Panchayati Raj system was first introduced in the state of Rajasthan in 1959 as a
step towards decentralizing governance and empowering local communities.
94. Answer: b
Explanation:
Statements (i) and (ii) are correct, as tin-lead alloy is used in fuse wires and the
fuse is connected to the live wire. However, the fuse should have a low melting point,
not high.
95. Answer: c
Explanation:
Let:
Distance (one way) = 20 km
Going speed = 20 km/h
Average speed for the round trip = 15 km/h
Step 1: Calculate the Time Taken for the Journey
Time taken to go:
Since Gaurav covers 20 km at a speed of 20 km/h, the time taken for the journey
going is:
Let the speed while returning be .
Time taken to return:
Step 2: Set Up the Average Speed Equation
The formula for average speed over the round trip is:
Time going = 20
20
k
k
m
m
/h = 1 hour
x km/h
Time returning = hours x
20 km
Average speed = Total time
Total distance
Since the total distance for the round trip is 40 km, and the average speed is 15
km/h:
Step 3: Solve for
Multiply both sides by :
Subtract 15 from both sides:
Now, solve for :
Answer:
Gaurav’s speed while returning will be 12 km/h.
96. Answer: b
Explanation:
The letters in each pair follow a particular positional transformation. The pair KLP :
QPL follows the same transformation as PRO : LJM.
97. Answer: d
Explanation:
15 = 1+ x
20
40
x
1 + x
20
15 (1 + x =
20 ) 40
15 + x =
300 40
x =
300 25
x
x = 25 =
300 12 km/h
Let’s analyze each piece of information step-by-step to determine the month in
which K visited.
P preferred to visit Rajasthan in the month of November.
This places P in November.
U visited Uttar Pradesh exactly two months prior to P.
Since P visited in November, U must have visited in September.
Y preferred the month of July.
This places Y in July.
K preferred to visit Rajasthan exactly between the months preferred by Y and U.
Since Y visited in July and U visited in September, K must have visited in August.
L visited exactly one month prior to Y.
Since Y visited in July, L must have visited in June.
Determine the Order of Visits
Based on the information above, we have the following order of visits:
June - L
July - Y
August - K
September - U
November - P
The remaining month is October, which is when J must have visited.
Answer:
K visited in the month of August.
98. Answer: a
Explanation:
The Supreme Court delivered its judgment in the "Satbir Singh vs. State of Haryana"
case related to dowry issues in 2019.
99. Answer: c
Explanation:
Matching the methods with their modes of action gives A-iv, B-iii, C-ii, and D-i as
the correct pairing.
100. Answer: b
Explanation:
D is sitting immediately to the right of F.
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