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Group D — Test 47
00:00
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01. A stone is thrown downward with an initial velocity of 5 m/s. After 2 seconds, its final velocity v (taking g = 10 m/s²) will be:
A
10 m/s
B
5 m/s
C
25 m/s
D
20 m/s
02. Which type of spherical mirror has its reflecting surface curved outwards and possesses a centre of curvature C that lies behind the mirror?
A
Converging mirror
B
Concave mirror
C
Plane mirror
D
Convex mirror
03. Which of the following statements is/are correct regarding sexual reproduction in plants? Statement A: After fertilisation, the zygote divides several times to form an embryo within the ovule Statement B: The ovule develops a tough coat and is gradually converted into a seed.
A
Only statement A
B
Neither statement A nor B
C
Both statements A and B
D
Only statement B
04. Which of the following is NOT a molecule of a compound?
A
NH3
B
HCl
C
O3
D
CH4
05. A man contracts HIV even though his partner is healthy. Which of the following behaviours from his personality could explain this?
A
Having multiple unprotected sexual partners
B
Having protected sex
C
Maintaining a healthy diet
D
Using sterlised needles
06. The chemical formula of the compound sodium carbonate is represented as:
A
Na3CO3
B
Na3CO4
C
Na3CO2
D
Na2CO3
07. The colour of silver chloride changes when placed in sunlight for some time due to the:
A
Displacement reaction by oxygen and water
B
Combination reaction of silver chloride with oxygen
C
Photochemical decomposition of silver chloride by sunlight
D
Thermal decomposition of silver chloride
08. Brass is an example of:
A
a compound
B
an element
C
a homogeneous mixture
D
a heterogeneous mixture
09. What is the benefit of developing dwarf broiler parents in poultry?
A
To make them resistant to rain
B
To lay larger eggs
C
To increase flight ability
D
To reduce feed consumption and improve meat yield
10. If Girl A takes 20 s and Girl B takes 50 s to climb a rope, both performing 3200 J of work, their difference in performance is characterised by which physical concept?
A
Power
B
Gravitational force
C
Total displacement
D
Total energy consumed
11. An object moves 10 m in 2 s. On a distance–time graph, what is the slope?
A
8 m/s
B
20 m/s
C
5 m/s
D
10 m/s
12. Which of the following belongs to the alkyne group?
A
C2H4
B
C3H4
C
C3H8
D
C6H6
13. In the case of unbalanced forces acting on an object, the acceleration (a) produced is in the direction of the ______________.
A
initial velocity
B
largest force
C
force of friction
D
net force (resultant force) acting on the object
14. Which of the following statements about resistivity is correct?
A
It increases with the cross-sectional area
B
It changes with the shape of the conductor
C
It depends only on the nature and temperature of the material
D
It decreases when the length increases
15. Esters are formed by the reaction of:
A
alcohol and acid in acidic medium
B
alcohol and acid in basic medium
C
alcohol and acid at low pressure
D
alcohol and aldehyde in the presence of dehydrating agent
16. Carbon forms many compounds because of:
A
Ability to form ionic crystals
B
Catenation and tetravalency
C
High atomic mass and large size
D
Reactivity with noble gases
17. Which of the following statement is INCORRECT about simple permanent tissue?
A
Food storage occurs in simple permanent tissue
B
Simple permanent tissue is generally composed of living cells
C
Sclerenchyma is the most common simple permanent tissue
D
It founds few layers beneath the epidermis
18. The bud in Hydra:
A
grows as an outgrowth
B
forms through spores
C
forms inside the parent’s body
D
develops on a stalk
19. Which of the following statements regarding the need for macronutrients in plants is correct?
A
Macronutrients are required by plants in large quantities for proper growth and development.
B
Macronutrients are only required during the flowering stage.
C
Plants can survive without macronutrients.
D
Macronutrients are less important than micronutrients.
20. A sound wave has a frequency of 1600 Hz. If the wavelength of the wave is 0.2 m, what will be the speed of the wave?
A
800 m/s
B
8000 m/s
C
32 m/s
D
320 m/s
21. Blood is called a connective tissue because ____________.
A
it connects and transports material throughout the body
B
it is found only in muscles
C
it supports bones
D
it is red in colour
22. Which gas reacts with sodium hydroxide to form sodium bicarbonate and sodium carbonate?
A
CO
B
CO ₂
C
NO ₂
D
SO ₂
23. A long straight wire carries a current I, and the magnetic field at a distance r from the conductor is B. If the distance from a straight current-carrying wire is doubled, what will be the magnetic field at that point?
A
B
B
Zero
C
B/2
D
2B
24. A convex mirror is generally used as a rear-view mirror in vehicles because it:
A
Produces a wider field of view
B
Produces real and inverted images
C
Produces magnified images
D
Absorbs most of the light rays
25. Which of the following is INCORRECT about meristematic tissues?
A
Actively dividing cells
B
Thin walled
C
Lack of vacuoles
D
Presence of vacuoles
26. The amount on a sum of ₹7,500 at 8% per annum compound interest, compounded annually, in 2 years will be:
A
₹9,135
B
₹8,989
C
₹8,748
D
₹9,355
27. The ratio of 20 hours to 7 days is equivalent to which of the following?
A
20:7
B
2:47
C
4:43
D
5:42
28. If the mode of a data exceeds its mean by 27.3, then the mode exceeds the median by _____. (Use empirical formula to find the answer.)
A
15.8
B
18.2
C
24.9
D
27.1
29. A, B and C can do a piece of work in 3, 12 and 4 days, respectively. How long (in days) will they take to do twice the same work, working together?
A
6
B
9
C
3
D
4
30. Bharat goes to a shop to purchase a toy train priced at ₹5,000. He is offered 4 discount options by the shopkeeper. Which of these options should he opt for to gain maximum advantage of the discount offered?
A
Two successive discounts of 30% each
B
Two successive discounts of 44% and 18%
C
Single discount of 22%
D
Two successive discounts of 24% and 25%
31. A solid cylinder has a height of 12 cm and a radius of r cm. A part of the cylinder is melted and molded into two cones. One cone has a radius of 3 cm and a height of 4 cm, while the other cone has a radius of 6 cm and a height of 8 cm. If the ratio of the curved surface area of the original cylinder to the sum of the curved surface areas of the two cones is 4 : 1, find the value of 2r.
A
24
B
25
C
26
D
27
32. A train travels at a speed of 72 km/hr. How long will it take to cover a distance of 180 km? 3017
A
2.1 hours
B
2.7 hours
C
2.5 hours
D
2.4 hours
33. A man observes the top of a building at an angle of elevation 45°. If the building is 20 m high, find the distance of the man from the building.
A
35 m
B
20 m
C
25 m
D
30 m
34. The sum of the first 11 prime numbers is:
A
164
B
160
C
165
D
162
35. If the radius of a sphere is increased by 15%, then find the percentage increase in its volume. (Rounded up to 2 decimal places.)
A
80.25%
B
41.67%
C
23.20%
D
52.09%
36. The trains Rajdhani Express and Garib Rath Express run in the same direction with speeds of 101 km/hr and 65 km/hr, respectively, and their lengths are same. What is the length of Rajdhani Express if it completely crosses Garib Rath Express in 66 seconds?
A
322 m
B
326 m
C
338 m
D
330 m
37. For what value of x will the equation (x + 5) 2 − (x − 5) 2 = 80 be true?
A
6
B
3
C
4
D
5
38. In a student body election, 5% of the eligible voters are aged 18–21 years, 12% are aged 21–25 years, and the rest are older than 25 years. Among these groups, 80% of the 18–21 year age group and 60% of the 21–25 year age group actually voted. If the number of voters aged 21–25 years who voted exceeds those aged 18–21 years by 320, what is the difference between the number of eligible voters aged 18–21 years and those aged 21– 25 years?
A
700
B
600
C
500
D
800
39. 102 men have provisions for 30 weeks. They are joined by 68 men. How long (in weeks) will the provisions last?
A
22
B
20
C
18
D
16
40. The average age of 31 students of a class is 34 years. If the age of the teacher is also included, the average age of the whole group becomes 35 years. The age (in years) of the teacher is:
A
67
B
69
C
63
D
66
41. In how many minutes will a cistern be filled if three pipes with diameters 2 cm, 3 cm and 4 cm are opened together, given that the largest pipe alone can fill it in 87 minutes? (Assume the rate of flow of water through each pipe is proportional to the square of its diameter.)
A
50
B
40
C
36
D
48
42. The sum of two numbers is 45 and their difference is 9. Find the smaller number.
A
12
B
20
C
18
D
15
43. The selling price of an iPhone is ₹3,300, after allowing two successive discounts of 36% and 25%. Find the marked price of the iPhone.
A
₹6,815
B
₹6,983
C
₹6,769
D
₹6,875
44. The monthly incomes of two friends Shivam and Rupesh, are in the ratio 5 : 8, respectively, and each of them saves ₹81,000 every month. If the ratio of their monthly expenditure is 1 : 4, find the monthly income of Shivam (in ₹).
A
1,41,750
B
1,01,250
C
1,02,250
D
1,00,250
45. If the cost price of 30 chairs is equal to the selling price of 40 chairs, find the loss percentage.
A
25%
B
23%
C
17%
D
19%
46. The sum of three numbers is 180. If the ratio of the second number to the first number is 14:7 and that of the third number to the second number is 15:15, then find the second number.
A
72
B
71
C
70
D
74
47. At present, the ratio of the ages of Meena and Sita is 5 : 4 and sixteen years from now, the ratio will get changed to 9 : 8. Find the present age of Meena.
A
22 years
B
21 years
C
20 years
D
23 years
48. What should come in place of the question mark (?) in the given series based on the English alphabetical order? PSJ NQH LOF JMD ?
A
HKB
B
HLB
C
HLA
D
HKA
49. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: No Porcupines are Bears. All Bears are Leopards. Some Leopards are Jaguars. Conclusions: (I) Some Porcupines are Leopards. (II) Some Bears are Jaguars.
A
Only conclusion (II) follows.
B
Both conclusions (I) and (II) follow.
C
Neither conclusion (I) nor (II) follows.
D
Only conclusion (I) follows.
50. Piyush starts from Point A and drives 8 km towards east. He then takes a right turn, drives 6 km, turns right and drives 11 km. He then takes a right turn and drives 10 km. He takes a final right turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
A
5 km to the south
B
4 km to the north
C
5 km to the north
D
4 km to the south
51. If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’ and ‘÷’ means ‘+’, then what will come in place of the question mark (?) in the following equation? 24 × 3 + 6 − 2 ÷ 8 = ?
A
11
B
7
C
4
D
15
52. Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
A
ECD
B
SRR
C
QOP
D
MKL
53. Mr. Akai starts from Point A and drives 15 km towards west. He then takes a left turn, drives 11 km, turns left and drives 50 km. He then takes a left turn, drives 31 km, turns left and drives 17 km. He then takes a left turn and drives 15 km. He takes a final right turn, drives 18 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
A
5 km to the north
B
5 km to the south
C
7 km to the north
D
5 km to the west
54. Refer to the following number series and answer the question that follows. (All numbers are single-digit numbers only.) (Counting to be done from left to right only.) (Left) 1 5 3 7 2 8 4 9 6 1 3 7 5 4 2 8 9 6 3 7 1 5 4 9 8 2 6 (Right) How many such odd numbers are there, each of which is immediately preceded by an odd number and also immediately followed by an odd number?
A
More than three
B
Two
C
One
D
Three
55. What should come in place of the question mark (?) in the given series? 53 62 73 86 101 ?
A
113
B
120
C
115
D
118
56. In a certain code language, ‘are you ready’ is coded as ‘nb uc jp’ and ‘do you agree’ is coded as ‘jh jp ko’. How is ‘you’ coded in that language? (All codes are two-letter codes.)
A
qc
B
ko
C
nb
D
jp
57. Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the letter-cluster pair that DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
A
EG - MO
B
CE - KM
C
BD - JL
D
KM - SV
58. Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only two boxes are kept below D. Only one box is kept above G. Only one box is kept between G and C. E is kept immediately above A. F is kept at some place below B. How many boxes are kept above F?
A
5
B
4
C
3
D
2
59. If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will come in place of the question mark (?) in the following equation? 11 B 2 D 44 A 4 C 3 = ?
A
14
B
17
C
11
D
22
60. Seven boxes, B, D, E, P, S, T and W, are kept one over the other but not necessarily in the same order. Only two boxes are kept between S and D. Only B is kept above T. No box is kept below D. W is kept at some place below P but at some place above E. Which box is kept third above E?
A
P
B
B
C
W
D
T
61. Select the pair that follows the same pattern as the one followed by the two pairs given below. Both pairs follow the same pattern. YZX−WXV XYW−VWU
A
TUS−RSQ
B
TTQ−RSQ
C
TUS−QSP
D
TTQ−QRP
62. In the following series, numbers are written using some special pattern but one number is incorrect. That INCORRECT number is: 10, 27, 78, 233, 690, 2067
A
233
B
78
C
2067
D
10
63. NKMP is related to TQSV in a certain way based on the English alphabetical order. In the same way, KHJM is related to QNPS. To which of the following is SPRU related, following the same logic?
A
YWWF
B
YVWA
C
YUWA
D
YVXA
64. Refer to the given series and answer the question that follows. (All numbers are single digit numbers only.) Counting to be done from left to right only. (Left) 2 1 7 7 9 6 9 1 3 7 9 6 4 2 8 1 5 7 1 4 5 (Right) How many such odd digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an even digit?
A
3
B
1
C
2
D
4
65. Which numbers should come in place of the question mark (?) in the same sequence to make the series logically complete? 2, 5 7, 10 , 14, 17, 23, 26 34 ? 47 ?
A
34, 50
B
37, 50
C
33, 51
D
33, 50
66. Seven people B, C, D, I, J, K and L are sitting in a straight line facing north. Only two people sit between L and J. Only J sits to the right of D. Only three people sit between D and C. K sits at some place to the left of B but at some place to the right of I. How many people sit between I and B? 7073
A
Three
B
Two
C
One
D
Four
67. Select the pair that follows the same pattern as the one followed by the two pairs given below. Both pairs follow the same pattern. NKL−HEF AXY−URS
A
WTU−PNN
B
WSS−PMN
C
WTU−QNO
D
WSS−QNO
68. In a certain code language, A ± B means ‘A is the wife of B’, A * B means ‘A is the son of B’, A ₹ B means ‘A is the father of B’, and A # B means ‘A is the sister of B’. How is D related to O if 'D # R * A ₹ C ± O’?
A
Mother's sister
B
Sister
C
Wife's sister
D
Wife
69. In a certain code language 'VACP' is coded as '126' and 'MHTJ' is coded as '153'. What is the code for 'OGQE' in the given language?
A
135
B
129
C
132
D
140
70. Which of the given letter-number clusters will replace the question mark (?) in the following series to make it logically complete? KR37 MT45 OV53 QX61 ?
A
SZ69
B
SY68
C
SZ68
D
SY69
71. Six people, A, B, C, D, E and F, are sitting in a row, facing the north. F sits to the immediate left of A. C sits third to the left of D. C is an immediate neighbour of A. B sits to the immediate left of E. How many people sit between E and C?
A
Two
B
None
C
One
D
Three
72. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All machines are tools. All machines are equipment. Some equipment are toys. Conclusions: (I): Some toys are machines. (II): Some equipment are tools.
A
Only conclusion (I) follows
B
Neither conclusion (I) nor (II) follows
C
Both conclusions (I) and (II) follow
D
Only conclusion (II) follows
73. Select the set in which the numbers are related in the same way as are the numbers of the following sets. (Note: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 23 - 10 - 33 4 - 13 - 17
A
44 - 20 - 85
B
16 - 20 - 46
C
49 - 21 - 80
D
50 - 22 - 72
74. Refer to the given series and answer the question that follows. (All numbers are single digit numbers only.) Counting to be done from left to right. (Left) 9 1 6 7 7 2 8 3 4 3 3 2 7 9 9 9 5 4 6 7 3 6 3 (Right) How many such even digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an even digit?
A
Four
B
Three
C
Two
D
One
75. A, B, C, D, E and F are sitting around a circular table facing the centre. D sits third to the right of F. A sits second to the left of F. E sits second to the right of B. C sits to the immediate right of E. How many people sit between A and C when counted from the left of A?
A
Four
B
None
C
One
D
Two
76. Refer to the given number, symbol series and answer the question that follows. Counting to be done from left to right only. (Left) £ 9 $ £ £ % € 6 3 3 1 8 & 3 © # * 7 * & 3 & (Right) How many such symbols are there, each of which is immediately preceded by a number and also immediately followed by a number?
A
3
B
2
C
0
D
1
77. If ‘A’ stands for ‘×’, ‘B’ stands for ‘÷’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will come in place of the question mark (?) in the following equation? 20 B 5 D 8 A 3 C 14 A 4 = ?
A
36
B
34
C
39
D
38
78. Which world champion pole-vaulter cleared 6.28 m, setting a new world record at the Stockholm Diamond League?
A
Ernest John Obiena
B
Kurtis Marschall
C
Mondo Duplantis
D
Sam Kendricks
79. When was the Union Budget 2025–26 presented in Parliament by Finance Minister Nirmala Sitharaman?
A
31 January 2025
B
2 February 2025
C
1 February 2025
D
3 February 2025
80. Which of the following age groups is targeted under the Nurturing Aspirations through Vocational Training for Young Adolescent Girls programme, jointly launched by the Ministry of Women and Child Development and the Ministry of Skill Development and Entrepreneurship in June 2025?
A
18 to 21 years
B
16 to 18 years
C
10 to 14 years
D
12 to 16 years
81. In July 2025, the Union Environment ministry notified which of the following rules aimed at ensuring the remediation of chemically contaminated sites by those responsible for the contamination?
A
Environmental Restoration and Management (Pollution Control) Rules, 2025
B
Hazardous Waste and Remediation Management Rules, 2025
C
Comprehensive Environmental Response, Compensation, and Liability Rules, 2025
D
Environment Protection (Management of Contaminated Sites) Rules, 2025
82. How many consecutive Australian Open titles has Jannik Sinner won as of 2025?
A
Three
B
Four
C
Two
D
One
83. Where was the National Cross-Country Championships held on January 12, 2025?
A
Karnataka
B
Rajasthan
C
Uttar Pradesh
D
Gujarat
84. What poverty rate did the State Bank of India project for India in 2024, as reported in June 2025?
A
1.6%
B
4.6%
C
2.6%
D
3.6%
85. As per the PIB report, which of the following National Telemedicine Services has served more than 36 crore patients through teleconsultation by 6 April 2025?
A
U-WIN
B
eSanjeevani
C
mHealth
D
T-SeHAT
86. Which co-operative bank’s licence was cancelled by the Reserve Bank of India (RBI) in May 2025 for capital shortfall?
A
Seva Vikas Co-operative Bank
B
Punjab and Maharashtra Co-operative Bank
C
Ajantha Urban Co-operative Bank
D
HCBL Co-operative Bank
87. Where was the 19 th India Digital Summit (IDS) 2025 held?
A
Chennai
B
New Delhi
C
Jaipur
D
Ahmedabad
88. In September 2025, the Supreme Court directed the Election Commission of India to treat which of the following documents as the 12 th valid proof of identity for inclusion in Bihar’s revised voters’ list?
A
Health ID
B
PAN Card
C
Aadhaar Card
D
Employment Card
89. Who among the following were the recipients of the 2025 Sakharov Prize for Freedom of Thought?
A
Dr. Sonali Ghosh and Peter Howitt
B
Sunil Amrith and Masaki Kashiwara
C
Andrzej Poczobut and Mzia Amaglobeli
D
Joel Mokyr and Philippe Aghion
90. Why was the book 'Heart Lamp' considered unique in Booker history and won the International Booker Prize in 2025?
A
First children's book
B
First poetry book
C
First biography
D
First short story collection to win
91. Which organisation released the 'Global Risks Report, 2025', outlining geopolitical, environmental and technological threats?
A
International Monetary Fund (IMF)
B
Organisation for Economic Co-operation and Development (OECD)
C
United Nations Development Programme (UNDP)
D
World Economic Forum (WEF)
92. What is the percentage of the population with access to clean fuels and technology for cooking in the Sustainable Development Report 2025?
A
89.3%
B
79%
C
83%
D
74%
93. Which of the following Indian states had the honour of hosting the 38 th National Games in 2025?
A
Maharashtra
B
Uttarakhand
C
Goa
D
Karnataka
94. Which of the following schemes, announced by the Government of India, has a total outlay of ₹1 lakh crore to support high-risk, high-impact research and innovation projects across science & technology disciplines?
A
National Science & Technology Fund
B
Research, Development & Innovation Scheme
C
Digital India Innovation Fund
D
Atmanirbhar Bharat R&D Programme
95. Which of the following telecom providers introduced the soft launch of their homegrown Quantum 5G Fixed-Wireless-Access (FWA) system in Hyderabad on 18 June 2025?
A
Bharat Sanchar Nigam Limited
B
Reliance Jio
C
Vodafone Idea
D
Bharti Airtel
96. In September 2025, which company did BCCI announce as Team India’s new lead sponsor?
A
MPL Sports
B
Apollo Tyres
C
Dream11
D
Byju’s
97. According to the Sustainable Development Report 2025, what is the percentage of seats held by women in the Indian parliament?
A
23.9%
B
28.2%
C
13.8%
D
19.7% "
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