Group D — Test 55

01. The image formed by a concave mirror of focal length 20 cm is real, inverted, and enlarged in size as compared to the size of the object. Which of the following is true about the position of the object?

02. A ship floats on water because:

03. What is the main goal of crop variety improvement?

04. Which of the following best explains the liquefaction of gases under high pressure?

05. According to Joule’s law of heating, if the current flowing through a resistor is doubled while resistance and time remain constant, then the heat produced (H) will increase by a factor of ________.

06. What colour does copper turn when it undergoes corrosion over time?

07. Which of the following is a compound?

08. Which of the following statements is NOT correct about linear velocity?

09. Which compound from the following is an unsaturated hydrocarbon?

10. Why do aquatic organisms breathe faster than terrestrial organisms?

11. The _________ helps in the movement of mucus along the lining of the respiratory tract.

12. A patient is unable to move his left hand, but brain scans show no damage. Which part of the nervous system is most likely to be affected?

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

14. What is the role of sulphuric acid in the anodising process of aluminium?

15. Which of the following techniques is used for vegetative propagation in plants?

16. Cyclohexane is best classified as which type of organic compound?

17. A force of 7 N acts on an object and displaces it through 8 m in the direction of the force. What is the work done in this case?

18. What is the formula unit mass of ZnO (zinc oxide)?

19. If two resistors are connected in series, then which of the following statements is correct regarding the equivalent resistance of the circuit?

20. In which of the following reactions do two compounds combine to form a new compound?

21. What is the correct path of the egg in the female reproductive system?

22. Sounds of single frequency and mixture of several frequencies are known as ______________, respectively.

23. Which of the following describes reproduction involving only one parent and no gametes?

24. Which of the following structures are made up of nervous tissue?

25. An item is sold for ₹6,500 after two successive discounts of 35% and 20%. What is the marked price (in ₹) of the item?

26. The expenditure of Sudha is 200% more than her savings. If her expenditure decreases by 10% and savings increase by 34%, then by what percentage does her income increase?

27. Find the smallest number which when increased by 10 is completely divisible by 12, 15, 18 and 20.

28. Ramesh bought an article for ₹5,000 and sold it to Suresh at a profit of 20%. Suresh then sold it further at a loss of 10%. For how much did Suresh sell the article?

29. The mode of the observations 21, 29, 35, 24, 25, 33, 24, 23, 26, 28, 35, 27, 20, 35 and 20 is: 4288

30. The amount on a sum of ₹4,800 at 15% per annum compound interest, compounded annually, in 2 years will be:

31. The price of a branded pen is ₹180 and that of a pencil is ₹3.50. If the total price of x branded pens and y pencils is ₹935 and x + y = 15, then what is the value of (x 2 + y 2 )?

32. In quadrilateral PQRS, the bisectors of ∠ R and ∠ S meet at the point T (inside the quadrilateral) and ∠ STR = 36°. If the ratio of ∠ P to ∠ Q is 3 : 5, then what is the difference between the measures of ∠ Q and ∠ P?

33. The monthly incomes of two friends Mukund and Sachin are in the ratio 5 : 9 respectively and each of them saves ₹45,000 every month. If the ratio of their monthly expenditure is 1 : 3, then find the monthly income of Mukund (in ₹).

34. Simplify: [(9x + 4y) 2 − (9x − 4y) 2 ] ÷ 24x

35. Find the single discount (approximately) equal to three consecutive discounts of 6%, 5% and 11%.

36.  

37. ₹5,575 is divided among X, Y and Z in such a way that if ₹85, ₹65 and ₹61 is deducted from their respective shares, they have money in the ratio 5:11:20. Find the difference between the original shares of Y and Z.

38. A train passes a station platform in 60 seconds and a man standing on the platform in 40 seconds. If the speed of the train is 63 km/hr, calculate the length of the platform.

39. The distance between points A and B is 933 km. Namit travels from A to B at a speed of 70 km/hr and returns at a speed of 111 km/hr. Calculate Namit’s average speed for the entire journey (rounded off to two decimal places).

40. Find the ratio between the fourth proportional of 4, 8 and 19 to the mean proportional of 9 and 4.

41. A camp has provisions for 20 pupils for 12 days. In how many days will the same provisions be used up, if the strength of the camp is increased to 80 pupils?

42. The product of the present ages of Ram and Lalith is 216 years, and their age ratio is 6 :

43.  

44. Pipes A and B can fill an empty cistern in 65 minutes and 26 minutes, respectively. Both Pipe A and Pipe B are opened together. After how much time should Pipe B be turned off so that the empty cistern is completely filled in a total of 30 minutes?

45. The average of 7 numbers is 23. If each number is decreased by 7, what will the new average be?

46. A, B and C can do a piece of work in 2, 4 and 4 days, respectively. How long (in days) will they take to do thrice the same work, working together?

47. Mr. Akte ranked 54 th from the top and 19 th from the bottom in his class. How many students are there in his class?

48. Refer to the following series and answer the question (all numbers are single digit numbers only). Counting to be done from left to right only. (Left) 8 4 1 7 2 6 5 1 6 7 8 8 5 9 4 6 1 6 8 8 8 3 5 2 6 7 8 (Right) How many such odd numbers are there, each of which is immediately preceded by an odd number and also immediately followed by an even number?

49. 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) 6 5 8 8 5 4 7 7 4 2 7 9 2 2 5 7 4 8 8 2 1 8 9 (Right) How many such odd digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?

50. RL 12 is related to VQ 16 in a certain way. In the same way, NH 15 is related to RM 19. To which of the given options is IC 24 related, following the same logic?

51. In a certain code language, ‘bowl tin leaf’ is coded as ‘ef cz bi’ and ‘leaf mode theme’ is coded as ‘cz nx an’. How is ‘leaf’ coded in that language?

52. What will come in place of the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 33 −15 ÷ 6 + 120 × 8 = ?

53. Oren starts from Point A and drives 13 km towards the East. He then takes a left turn, drives 6 km, turns left and drives 17 km. He then takes a left turn and drives 13 km. He takes a final left turn, drives 4 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-degree turns only unless specified.)

54. What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 71 ÷ 9 + 192 × 16 − 41 = ?

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.) (14, 14.4, 13.7) (32, 32.4, 31.7)

56. 35 40 30 45 25 ? 1105

57. 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 5 % & ^ ? \ \ 4 $ % & 5 4 / 4 % ^ 7 (Right) How many such numbers are there, each of which is immediately preceded by a symbol and also immediately followed by a symbol?

58. Which of the given letter-number clusters will replace the question mark (?) in the following series to make it logically complete? YCG 18 HLP 23 QUY 28 ZDH 33 ?

59. After walking 20 metres north from point A, Jane turns right and walks another 15 metres. Then she turns right again and walks 50 metres to stop at point B. In which direction is point A with respect to point B?

60. 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.)

61. A, B, C, D and E are sitting around a circular table, facing the centre. B is sitting third to the right of C. A is sitting third to the left of C. D and A are immediate neighbours. Who is to the immediate left of C?

62. Seven boxes, L, M, N, O, Q, R and S, are kept one over the other, but not necessarily in the same order. Only L is kept above Q. Only three boxes are kept between L and R. Only O is kept below N. S is kept immediately above M. Which box is kept second above M?

63. 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.)

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) 7 1 3 4 7 5 1 3 6 6 7 9 5 9 6 7 8 1 3 7 3 (Right) How many such odd digits are there, each of which is immediately preceded by a perfect square and also immediately followed by an odd digit? (NOTE: 1 is also a perfect square)

65. If ‘+’ means ‘subtraction’, ‘−’ means ‘multiplication’, ‘×’ means ‘division’, and ‘÷’ means ‘addition’, then what will come in place of the question mark (?) in the following equation? 25 – 6 ÷ 4 + 16 × 4 ÷ 16 + 22 = ?

66. Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern. KIH−DBA OML−HFE

67. In a certain code language, ‘BACK’ is coded as ‘8561’ and ‘TACK’ is coded as ‘6458’. What is the code for ‘T’ in that language?

68. 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 pilots are captains. All captains are drivers. Some drivers are teachers. Conclusions (I) All pilots are drivers. (II) Some teachers are pilots.

69. In a certain code language, A ± B means ‘A is the wife of B’, A * B means ‘A is the daughter of B’, A ₹ B means ‘A is the father of B’ and A # B means ‘A is the brother of B’. How is D related to O if 'D ± R # A * C ₹ O’?

70. What should come in place of the question mark (?) in the given series? 100, 97, 91, 82, 70, ?

71. Seven friends, B, C, D, T, U, V and W, are sitting in a straight line facing north. Only two people sit between V and D. Only U sits to the right of T. Only one person sits between D and T. C sits at some place to the right of B but at some place to the left of W. How many people sit between W and B?

72. XBYA is related to CGDF in a certain way based on the English alphabetical order. In the same way, ZDAC is related to EIFH. To which of the given options is BFCE related, following the same logic?

73. Six people, A, B, C, D, E and F, are sitting in a row, facing north. D sits to the immediate left of F. C sits third to the left of B. F is an immediate neighbour of C. E sits second to the right of C. A sits to the immediate left of E. Who sits at the extreme right end of the line?

74. What should come in place of the question mark (?) in the given series? 48 56 71 93 122 ?

75. What should come in place of the question mark (?) in the given series based on the English alphabetical order? DER UVI LMZ CDQ ?

76. 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 balls are hens. All rabbits are hens. Conclusions: (I) Some balls are rabbits. (II) Some hens are rabbits.

77. In May 2025, which advanced research facility was inaugurated by the Defence Research and Development Organisation (DRDO) with the aim to further strengthen indigenous quantum capabilities for strategic and defence applications?

78. Which of the following political parties announced a nationwide protest on November 18, 2025, against rising atrocities on marginalized groups in India?

79. The National Red List Roadmap launched in 2025 aims primarily to _________.

80. What is the name of the initiative launched by the Punjab government to ensure women’s safety and dignity in 2025?

81. Who among the following is the Chairman of the committee constituted to examine the provision of "One Nation One Election" in India?

82. Who was awarded the prestigious Dadasaheb Phalke Award, the highest honour in Indian cinema, at the 70 th National Film Awards ceremony on 8 October 2024?

83. Which Ukrainian city suffered a deadly Russian missile strike in mid-June 2025?

84. Which state hosted the Khelo India Youth Games, 2025?

85. Where was the 2025 Hyundai Archery World Cup Grand Final held in October 2025?

86. From March 9 to 12, 2025, the second part of India's fifth Khelo India Winter Games was conducted in which of the following places?

87. Which of the following bilateral agreements was signed between India and Singapore and marked the upgrade of their relationship by exchanging several MoUs in areas such as semiconductors, digital technologies and skills development?

88. Who is the author of the Lithuanian novel, ‘The Last Day’, which was translated into Hindi by the Sahitya Akademi in October 2025 as part of celebrating literary exchange and cultural collaboration?

89. What type of bridge is the new Pamban Rail Bridge, inaugurated in April 2025?

90. What happens if the accused minister (Prime Minister / Chief Minister) is granted bail within 30 days according to the Constitution (130 th Amendment) Bill, 2025?

91. Which country became the first team to qualify for the 2026 FIFA World Cup (excluding host nations)?

92. The Railways ordered which safety feature to be installed at stations in Pune in June 2025?

93. What is the name of DRDO's homegrown multi-layered defense system, showcased for the first time at the 2025 Republic Day parade and Aero India 2025?

94. Which of the following was released by the Reserve Bank of India in January 2025 to streamline credit information frameworks?

95. What is India’s rank in the WEF Energy Transition Index, 2025?

96. According to Union Budget 2025–26, approximately _______ was allocated for the Ministry of Environment, Forest and Climate Change in India.