Group D — Test 91

01. A block of mass M is subjected to two opposing forces F 1 and F 2 ( F 1 > F 2 ). If the frictional force ( F f ) acting opposite to F 1 is such that the net acceleration of the block is half the acceleration it would have experienced if friction were zero, what is the relation for F f ?

02. The motion of a freely falling stone is an example of:

03. Why are the ceilings of places like concert halls and cinema halls usually made curved?

04. The principle of conservation of energy is applicable to ___________.

05. Which of the following statements is/are correct in the context of a mixture and a compound?

06. Which of the following outcomes identifies meiosis rather than mitosis?

07. Which of the following statements about 'Law of conservation of mass' is correct?

08. What is the formula of washing soda?

09. Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R). Assertion (A): Soap solution appears cloudy. Reason (R): The soap micelles are large enough to scatter light.

10. Which of the following are the most reactive and the least reactive metals, respectively, in a reactivity series?

11. When an object is placed between the pole (P) and the focus (F) of a concave mirror, what kind of image is formed?

12. A tube that grows out of the pollen grain travels through the style to reach which of the following parts of the flower?

13. Which of the following is true for the plants raised by vegetative propagation? Statement A: Vegetatively propagated plant can bear flowers and fruits earlier than those produced from seeds. Statement B: Vegetatively propagated plants are genetically dissimilar to the parent plant.

14. Which of the following steps can increase the expected yield of a crop?

15. A neuron receives nerve impulse from another neuron through ____.

16. Which of the following is a basic requirement for maintaining good reproductive health?

17. Which meristem is located near the nodes in some plants?

18. A straight conductor is carrying current in the +x-direction, this conductor is placed in a magnetic field pointing in the +y-direction. What will be the direction of motion of the conductor?

19. In which device is the heating effect of current used to melt a metal?

20. Which of the following is a practical application of Archimedes’ Principle in daily life?

21. Which statement from the following correctly defines the law of constant proportions?

22. Which of the following is a ring-chain hydrocarbon?

23. What is the colour of the precipitate formed when silver nitrate reacts with sodium chloride?

24. The magnification (m) produced by a lens is defined as the ratio of _____________.

25. Which of the following is an example of judicious use of natural resources?

26. The cost of a washing machine is 25% less than the cost of a TV. If the cost of the washing machine increases by 88% and that of the TV decreases by 57%, then what is the percentage change in the total cost of 6 washing machines and 3 TVs?

27. If the height of a triangle is increased by 20% and its base is decreased by 15%, then what will be the percentage change in its area?

28. Evaluate 2cot 2 45° + 3sec 2 30°− 4sin 2 30°.

29. The Rajdhani Express and Garib Rath Express run in the same direction with speeds of 114 km/hr and 60 km/hr, respectively, and their lengths are the same. What is the length of the Rajdhani Express if it completely crosses the Garib Rath express in 144 seconds?

30. The mode and median of a data are 70.2 and 58, respectively. What is the mean of the data? (Use empirical formula.)

31. The amount on a sum of ₹8,300 at 10% per annum compound interest, compounded annually, in 2 years will be:

32. 4772  

33. A car travels 158 km in the first hour and 110 km in the second hour. What is the average speed (in km/hr) of the car for the whole journey?

34. Two pipes can fill a cistern, individually, in 99 min and 36 min, respectively. There is a pipe located at the bottom of the cistern to empty it. If all the three pipes are opened simultaneously, then the empty cistern gets filled in 44 min. How long will the pipe at the bottom of the tank take to empty the completely filled cistern if no other pipe is then open?

35. A salesman marks his goods 10% above the cost price and gives a discount of 80% on them. Find his loss percentage.

36. Chetan bought 52 books for ₹1,120 from one shop and 47 books for ₹905 from another. What is the average price (in ₹, rounded off to two decimal places) he paid per book ?

37. Laxmi, Dhruv and Gauri started a business in partnership investing in the ratio of 13:6:12, respectively. At the end of the year, they earned a profit of ₹37,200, which is 75% of their total investment. How much did Dhruv invest (in ₹)?

38. The volume (in m 3 ) of a cube with edges of 41 m, is:

39. In quadrilateral PQRS, the bisectors of ∠ R and ∠ S meet at the point T (inside the quadrilateral) and ∠ STR = 25.5°. If the ratio of ∠ P to ∠ Q is 8 : 9, then what is the difference between the measures of ∠ Q and ∠ P?

40.  

41. One pipe can fill a tank in 3 minutes, while another pipe can empty the completely filled tank in 6 minutes. If both the pipes are opened together when the tank is empty, how many minutes will it take to fill one-half of the tank?

42. A man bought goods worth ₹8,000 and sold half of them at a gain of 10%. At what gain percentage must he sell the remaining goods so as to gain 20% on the whole?

43. A person saves 20% of his income. If his expenditure is ₹320, then his income (in ₹) is:

44. If the marked price of a bedcover is 80% more than its cost price and a discount of 35% is announced on it, then find the profit percentage.

45. The perimeter of a square is 68 m. What is the length (in m) of one side?

46. The number of prime numbers between 358 and 368 is:

47. In a row of 42 people facing north, Kunal is 11 th from the left end. If Riya sits 5 th to the right of Kunal, what is Riya’s position from the right end of the line?

48. What should come in place of the question mark (?) in the given series? 91 78 65 52 39 ?

49. In the following triad, 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. SANK - NSAK - KNAS KITE - TKIE - ETIK

50. Omkar starts from Point Y and drives 29 km towards the south. He then takes a left turn, drives 75 km, turns right and drives 33 km. He then takes a right turn and drives 37 km. He takes a right turn, drives 62 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.)

51. In a certain code language, "OXGP" is coded as "62" and "DSNL" is coded as "75". What is the code for "VBQT" in that language?

52. RPMZ is related to WURT in a certain way. In the same way, LIGM is related to QNLG. To which of the given options is NKHN related, following the same logic?

53. Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (All numbers are single-digit numbers.) (Left) 5 * 1 & 1 6 $ © * 3 8 # © € 1 & © 1 © 8 % 4 (Right) How many such numbers are there each of which is immediately preceded by a number and also immediately followed by a symbol?

54. What should come in place of ? in the given series? 2 3 6 15 42 ? 6040

55. 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.) (13.3, 12.5, 11.8) (45.6, 44.8, 44.1)

56. Seven people, J, K, L, M, N, O and P are sitting in a straight row, facing north. Only two people sit to the right of O. Only three people sit between N and O. P sits second to the left of J. P is not an immediate neighbour of N. L sits to the immediate left of M. Who sits at the extreme right end of the line?

57. In a row of 52 students facing North, Roshan is 6 th from the left end. If Disha is 29 th to the right of Roshan, what is Disha's position from the right end of the row?

58. Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern. LNP−MOQ MOQ−NPR

59. 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.)

60. Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? DEU7 VWM24 NOE41 FGW58 ?

61. Each of the digits in the number 12568436 is arranged in ascending order from left to right. What will be the sum of the digits that are third from the left and third from the right in the new number thus formed?

62. A,B,C,D,E,F and G are sitting in a straight line facing North. No one sits to the right of B. Only three people sit between B and G. Only two people sit between G and D. A sits third to the left of C. F sits to the immediate right of C. How many people sit to the left of E?

63. Town T is to the north of Town R. Town S is to the south of Town Q. Town R is to the south of Town P. Town Q is to the south of Town R. What is the position of Town Q with respect to Town P?

64. 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) 2 7 4 7 7 3 3 3 1 4 8 9 8 8 2 8 5 6 7 9 7 1 3 3 1 6 2 (Right) How many such odd numbers are there, each of which is immediately preceded by an even number and also immediately followed by an even number?

65. 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 wheels are cars. All wheels are buses. All buses are trucks. Conclusions: (I) All wheels are trucks. (II) Some buses are cars.

66. What will come in place of the question mark (?) in the following equation if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 70 – 45 × 5 – 40 ÷ 4 + 48 = ?

67. What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘-’ are interchanged and ‘x’ and ‘÷’ are interchanged? 8 ÷ 2 + 15 x 5 - 8 = ? + 5

68. Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? HLE23, JJH21, LHK19, NFN17, ?

69. 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.)

70. This question is based on the five, three-digit numbers given below. (Left) 745 329 157 278 381 (Right) (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) NOTE - All operations to be done from left to right. What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number? 15164

71. Six people, A, B, C, D, E and F, are sitting in a row, facing north. Only two people sit to the left of A. Only one person sits between B and C. F sits to the immediate left of A. B sits to the immediate right of E. C sits third to the right of D. Who sits at the extreme left end of the line?

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: No Pianos are Guitars. Some Guitars are Violins. All Violins are Drums. Conclusions: (I) No Pianos are Violins. (II) Some Guitars are Drums.

73. In a certain code language, ‘A + B’ means ‘A is the son of B’, ‘A – B’ means ‘A is the mother of B’, ‘A × B’ means ‘A is the brother of B’ and ‘A ÷ B’ means ‘A is the father of B’. How is M related to S if ‘M + N ÷ O × P – S’?

74. In a certain code language, ‘drinking is dangerous’ is coded as ‘cd pk os’, ‘avoid dangerous habit’ is coded as ‘os mp ls’ and ‘please avoid drinking’ is coded as ‘rk pk mp’. How is ‘dangerous’ coded in that language?

75. What should come in place of the question mark (?) in the given series? 508 518 529 541 554 ?

76. Refer to the following series and answer the question (all numbers are single digit numbers only). (Left) 7 2 4 5 9 1 6 3 8 7 4 2 6 1 5 9 3 7 4 8 2 1 (Right) How many unique digits in the series are both odd and greater than 5 (each digit counted only once, regardless of repetitions)?

77. In 2025, the Government of India consolidated 29 labour laws into how many labour codes to simplify labour regulations?

78. Which of the following authorities in India issued new directives aimed at regulating asbestos exposure and its disposal in October 2025?

79. Which organisation launched the BHARATPOL portal to enhance real-time information sharing for Indian law enforcement agencies in January 2025?

80. What is the primary purpose of the PathGenie software developed by the Ministry of Science and Technology in 2025?

81. In 2025, India suspended which of the following bilateral agreements related to water sharing with Pakistan?

82. Which of the following was announced in the Union Budget 2025-26 (presented on 1 February 2025) to boost value-addition and marketing for a regional crop in Bihar?

83. Under what theme is the ‘Swachhata Hi Seva’ campaign, in alignment with the Government of India’s vision of a clean and garbage-free India, being observed in 2025?

84. Who won the 2025 Norway Chess Open tournament?

85. Which of the following countries hosted the 8th International Solar Alliance Assembly in October 2025?

86. Who gave assent to the Waqf (Amendment) Bill, 2025, making it a law?

87. Vithya Ramraj shares India’s 400 m hurdles national record with which legendary Indian athlete as of 2025?

88. World Health Day, observed every year to draw attention to a major global health topic, falls on which of the following dates?

89. In April 2025, India voted in favour of the International Maritime Organisation (IMO’s) global carbon pricing system for which of the following sectors?

90. In August 2025, the Indian National Space Promotion and Authorisation Centre (IN- SPACe) selected which of the following consortia to develop India’s first indigenous commercial Earth-Observation satellite constellation?

91. According to the North Eastern Region Sustainable Development Goals Index Report, 2023-24, released in July 2025, which district secured the highest score at 81.43 points?

92. In 2025, at the World Cup staged in Foz Do Iguacu, Brazil, which Indian boxer earned a gold medal in the 70kg division due to an opponent's withdrawal?

93. Who won the Japanese Grand Prix, 2025?

94. In 2025, according to the Supreme Court, the average waiting period for adopting an infant or young child in India under the legal framework is significant, leading some parents to consider illegal adoptions. What is the approximate average waiting period cited by the Court?

95. What was the theme for National Girl Child Day 2025 celebrated in January?

96. Which of the following banks revised Priority Sector Lending (PSL) guidelines for Small Finance Banks from FY 2025–26, reducing the PSL target to 60% of Adjusted Net Bank Credit (ANBC) or Credit Equivalent of Off-Balance Sheet Exposure (CEOBE), whichever is higher?