Group D — Test 51

01. A certain force acting on a 20 kg mass changes its velocity from 5 m/s to 2 m/s. Calculate the work done by this force.

02. Which of the following pairs of elements has the same number of neutrons?

03. Sodium, carbon and oxygen elements are present in Washing Soda. Select the INCORRECT symbol of these elements.

04. Pair the term to complete the analogy. Chlorophyll : Green pigment :: Starch : ____.

05. In the context of a reflex arc, which part of the nervous system is responsible for receiving and transmitting signals from external stimuli?

06. Which of the following statements is correct?

07. A characteristic feature that is NOT associated with soap is:

08. According to Mendel, when a tall pea plant (TT) is crossed with a short pea plant (tt), the F1 offspring will be:

09. Which of the following statements about lysosomes is correct?

10. Which subatomic particle has a negative charge but negligible mass?

11. Which of the following is an example of uniform circular motion?

12. Refer to the two statements given below and select the correct option. Statement A: Ethanoic acid reacts with sodium hydroxide to form sodium acetate and water. Statement B: This reaction is neutralisation.

13. What is the purpose of anodising aluminium metals?

14. Which of the following is the correct way to reduce reverberations?

15. What is the correct symbol for the element sodium?

16. The tongue helps in digestion mainly by _________.

17. Which of the following is true?

18. The molecules of an element are constituted by:

19. Which of the following is NOT an abiotic resistance for crop?

20. What is the effect of oral contraceptive pills in the body of human females?

21. When a rocket is launched upward, the forces on it are ____________.

22. In a domestic circuit, the live wire is generally of which colour?

23. Which part in the ovule helps in guiding the pollen tube (carrying sperm nuclei) towards the female gamete?

24. A wire with resistance R is cut into seven equal parts. These parts are then connected in parallel. If the equivalent resistance of this new combination is R ′ , what is the value of the ratio R / R ′ ?

25. The diameter of the reflecting curved surface of a spherical mirror is called _______.

26. Find the simple interest (in ₹) on ₹2,000 at 7% per annum rate of interest for the period from 5 February 2023 to 19 April 2023.

27. A cistern has two inlet pipes, A and B, and one outlet pipe, C. Pipe A can fill the cistern alone in 15 hours, pipe B in 18 hours, and pipe C can empty it in 27 hours. For the first 5 hours, pipes A and B are opened together. Then, for the next 12 hours, pipes B and C are opened together. After that, only pipe B works. How long will pipe B alone take to fill the remaining part of the cistern?

28.  

29. The prices of each article of types P, Q, and R are ₹280, ₹180 and ₹100, respectively. Kishore buys articles of each type in the ratio 3 : 4 : 5 in ₹6,180. How many articles of type Q did he purchase?

30. ₹10,415 is divided among P, Q, and R in such a way that if ₹62, ₹17, and ₹79 are deducted from their respective shares, they have money in the ratio 15:10:14. Find the difference between the original shares of Q and R.

31. P and Q together can fill a cistern with water in 12 hours. If P alone can fill the cistern with water in 24 hours, then in how many hours will Q alone fill one-fourth of the same cistern with water?

32. In a test, B got 50 marks while A got 75 marks, out of 105 maximum marks. What percentage of A’s marks was B’s marks? (Round off your answer to two decimal places.)

33. Five years ago, Meera was three times as old as her niece, Kavya. Seven years from now, Meera will be twice as old as Kavya. What is Meera’s current age (in years)?

34. A seller makes a loss of 5% by selling a shirt for ₹1,000. He would have made x% profit by selling for ₹1,400. Find the value of x.

35. The cost of a washing machine is 25% less than the cost of a TV. If the cost of the washing machine increases by 87% and that of the TV decreases by 45%, then what is the percentage change in the total cost of 4 washing machines and 5 TVs?

36. The number of diagonals of an n-sided regular polygon is 665. What is the value of ‘n’?

37. The average of 13 numbers is 7. If each number is multiplied by 3, then what will the new average be?

38. The monthly incomes of two friends Mohan and David, are in the ratio 5 : 8, respectively, and each of them saves ₹75,000 every month. If the ratio of their monthly expenditure is 1 : 4, find the monthly income of Mohan(in ₹).

39. 16 m, 20 m and 24 m are the dimensions of a room. Find the length (in m) of the greatest possible scale to measure all dimensions exactly.

40.  

41. Two trains, 232 m and 248 m in length, are running in opposite directions. The first runs at the rate of 51 km/hr and the second at the rate of 57 km/hr. How long will they take to cross each other?

42. Malati bought 5 rose plants and 9 jasmine plants for ₹1,410 and her friend Rani bought 6 rose plants and 5 jasmine plants for ₹1,170. Find the prices (in ₹) of 1 rose and 1 jasmine plant, respectively.

43. Find a single discount (approximately) equal to three consecutive discounts of 7%, 10% and 15%.

44.  

45. [(3x + 5y) 2 − 60xy] ÷ [(3x − 5y) 2 ]

46. An item with a marked price of ₹657 was sold for ₹526. What was the percentage of discount given? (Round off the answer to two decimal places.)

47. The mode of the observations 9, 6, 8, 1, 9, 6, 4, 5, 7, 1, 6, 5, 3, 6, 6, 3 and 3 is:

48. All 61 people are standing in a row facing north. Z is 16 th from the left end while G is 7 th from the right end. How many people are there between Z and G?

49. information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statement(s). Statements: Some seeds are berries. All fruits are berries. Conclusions: (I) Some seeds are fruits (II) All berries are fruits

50. A, B, C, D, E, F and G are sitting around a circular table facing the centre. Only two people sit between F and G when counted from the left of G. A sits third to the left of E. C sits to the immediate right of E. C sits second to the left of F. B is an immediate neighbour of A. How many people sit between D and F when counted from the right of F?

51. 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.)

52. Seven friends, B, C, D, T, U, V and W, are sitting in a straight line facing north. Only three people sit between C and W. D sits to the immediate left of W. No one sits to the right of

53. What should come in place of the question mark (?) in the given series? 84 86 90 92 96 ?

54. 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 to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (25, 72, 194) (32, 80, 224)

55. 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 letter-cluster pair 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.)

56. If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation? 49 B 9 D 609 A 7 C 214 = ?

57. All 87 people are standing in a row, facing the north. Mr. Zzz is 11 th from the right end while Mr. Ggg is 26 th from the left end. How many people are there between Mr. Zzz and Mr. Ggg?

58. Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (Left) @ 3 6 7 & 8 # & + $ 1 ? 9 1 + 7 1 # # < 2 (Right) How many such symbols are there, each of which is immediately preceded by another symbol and also immediately followed by a number?

59. What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 24 ÷ 19 + 84 × 7 − 127 = ?

60. Refer to the given number series and answer the question that follows. Counting to be done from left to right only. All numbers are single-digit numbers. (Left) 1 7 2 5 8 5 5 2 2 7 8 4 3 7 6 4 1 6 1 2 9 1 5 6 8 3 2 4 8 5 (Right) How many such odd digits are there, each of which is immediately preceded by a perfect square digit and also immediately followed by a prime digit? (NOTE: 1 is also a perfect square.)

61. 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 parks are huts. All huts are districts. All districts are cities. Conclusions: (I) All parks are districts. (II) All huts are cities.

62. What should come in place of the question mark (?) in the given series? 115 85 60 40 25 ?

63. Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? VAE27 , OTX44 , HMQ61 , AFJ78 , ?

64. KIGK is related to JHFJ in a certain way based on the English alphabetical order. In the same way, JHFJ is related to IGEI. To which of the following is SQOS related, following the same logic?

65. In the following triads, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one which follows the same logic. FACE - AFCE - ECAF CASE - ACSE - ESAC

66. A, B, C, D, E, F and G are sitting around a circular table, facing the centre. C sits third to the left of F. B sits second to the left of E. F is an immediate neighbour of both G and B. D is not an immediate neighbour of C. How many people sit between B and D, when counted from the right of B?

67. Ajay drives 10 km from Point A towards the east. He then takes a right turn, drives 5 km, turns left and drives 10 km. He takes a final left turn, drives 5 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° turns only unless specified)

68. CPWG is related to XTTI in a certain way. In the same way, NILC is related to IMIE. To which of the given options is OKZD related, following the same logic?

69. What should come in place of the question mark (?) in the given series based on the English alphabetical order? YIS WKO UMK SOG ?

70. What will come in place of the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 12 ÷ 5 + 21 × 3 − 2 = ? + 5 3142

71. What should come in place of the question mark (?) in the given series? 2 2 ? 12 48 240 1106

72. Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (Left) # 4 ^ 8 8 < 2 / $ 7 $ \ 1 & ^ 8 4 \ ? \ 8 (Right) How many such numbers are there, each of which is immediately preceded by another number and also immediately followed by a symbol?

73. 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) 1 9 9 7 7 5 6 4 3 3 3 1 5 9 7 9 4 9 1 2 5 7 9 5 8 5 2 (Right) How many such even numbers are there, each of which is immediately preceded by an odd number and also immediately followed by an odd number?

74. In a certain code language, P + Q means ‘P is the husband of Q’, P # Q means ‘P is the brother of Q’, P & Q means ‘P is the mother of Q’ and P % Q means ‘P is the sister of Q’. How is S related to M if ‘S # D + V & I % M’?

75. In a certain code language, OAVY is coded as 56 and SIXT is coded as 47. What is the code for TMZB in that language?

76. Ajeet starts from Point Y and drives 12 km towards the north. He then turns right and drives 33 km, takes a right and drives 67 km. He then takes a right turn and drives 48 km. He takes a right turn, drives 55 km, turns left and drives 27 km to stop at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified.)

77. In a certain code language, "TMCB" is coded as "76" and "GKIR" is coded as "90". What is the code for "VAPD" in that language?

78. On 5–6 February 2025, the national executive council meetings of FICCI and CII converged at BGBS in which city?

79. Who is the author of 'Lords of Earth and Sea: A History of the Chola Empire', published in 2025?

80. At which venue was the opening ceremony of the Khelo India Youth Games, 2025, held?

81. Which of the following was hosted by IIT Mandi in June 2025, focusing on mental health applications?

82. With which tech behemoth has the Indian company Infosys recently partnered to create a generative AI solution for telecom operators?

83. Which edition of the Khelo India Youth Games was held in 2025?

84. The ICCON‑2025 MEE report covered how many national parks and sanctuaries?

85. A new complex of India's first bio-manufacturing institute, BRIC-National Agri-Food Bio- Manufacturing Institute (BRIC-NABI), aimed at enhancing India’s agri-food sector through advanced biotechnology, was inaugurated at _____ in October 2024.

86. Which authority launched a scheme in Greater Noida in June 2025 to promote medical device manufacturing?

87. In 2025, the Krasheninnikov Volcano erupted after several centuries, releasing a massive ash plume. In which region is this volcano located?

88. In April 2025, which protected area was officially notified as India’s 107 th national park?

89. Under the National Green Hydrogen Mission, what scheme was launched by the Ministry of New and Renewable Energy (MNRE) in April 2025?

90. Which Ministry gave the idea of a common board for class 10 and 12 in seven states?

91. By June 2025, to which stance did the Reserve Bank of India shift back after moving away from its accommodative policy?

92. In which year did Armand Duplantis break the pole vault world record for the 12 th time?

93. In which city was the 2025 Laureus World Sports Awards ceremony held?

94. In the November 2025 by-elections, elections were held for the Assembly constituency in which of the following northeastern states?

95. The National Conference on “Strengthening Legal Aid Delivery Mechanisms” in November 2025 was inaugurated at ____.

96. In June 2025, which district was officially declared the first single-use plastic (SUP)–free district in Odisha?

97. In April 2025, the Monetary Policy Committee (MPC) reduced the policy repo rate by 25 basis points, bringing it down to _____.