Group D — Test 54

01. Two resistors of 2 Ω and X Ω are connected in series to a 10 V battery. If the current flowing through the resistors is 2 A, then what will be the value of X (in Ohm)?

02. Which of the following scenarios can disturb a food web the most?

03. Balance the following reaction: 3MnO 2 (s) + xAl (s) → 3Mn (l) + yAl 2 O 3 (s) + Heat

04. Which of the following causes a change in the state of matter?

05. The image formed by a concave lens for an object at infinity is:

06. Which of the following is NOT the correct use of a concave mirror?

07. The work done in carrying a block of mass 30 kg to a height of ‘X’ m is 6000 J. What will be the value of X (in m)? (Take the value of g = 10 m/s 2 )

08. Phosphoric acid (H 3 PO 4 ) is composed of which of the following ions?

09. What colour does phenolphthalein turn to in a basic solution?

10. How many contrasting characters were used by Mendel to formulate the laws of inheritance?

11. Impurities are converted to compounds by adding refining agents in which type of refining method?

12. Which of the following sounds has the lowest pitch?

13. If the speed of an object changes with time, the distance–time graph will be:

14. The molecular mass of carbon dioxide is:

15. What type of force is responsible for the Moon’s circular motion around Earth?

16. Which of the following plant nutrients is supplied from air?

17. The direction of the magnetic field at the centre of a current-carrying circular loop is determined by which of the following?

18. What happens when acid is dissolved in water?

19. The smooth endoplasmic reticulum (SER) helps in the manufacture of ___________.

20. An object moves along a straight path for 5 s. Its initial velocity is 10 m s -1 and its final velocity is -2 m s -1 . What is the magnitude of the average velocity?

21. What is the primary mechanism through which sexual reproduction generates genetic diversity in the offspring?

22. If a piece of aluminium is added to iron(II) sulphate (FeSO ₄ ) solution, what will happen?

23. What conclusion can be drawn from the microscopic observation of onion peel cells?

24. Which of the following statements is/are correct regarding vegetative propagation? Statement A: Root, stem and leaves develop into new plants under appropriate conditions. Statement B: Vegetative propagation is used in sugarcane, roses and grapes.

25. Which connective tissue smoothens bone surfaces at joints and is present in the ear and trachea?

26. In a quadrilateral ABCD, ∠ A = 32° and ∠ B = 58°. The bisectors of ∠ C and ∠ D meet at O. What is the measure of ∠ DOC?

27. A typist takes 40 minutes to type 4 pages. How many pages will he type in 90 minutes?

28. A dealer marks his goods at 44% above the cost price and allows a discount of 75% on the marked price. What is his gain or loss percentage?

29. A person is 5 years older than twice their sibling’s age. If the person is currently 27 years old, how old is the sibling?

30. The amount on a sum of ₹1,500 at 10% per annum compound interest, compounded annually, in 2 years will be:

31. If the mode of a data exceeds its mean by 19.8, then the mode exceeds the median by _____. (Use empirical formula to find the answer.)

32. The price of fuel decreases by 40%, 15% and 45% in three successive months, but increases by 70% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price? (Round off your answer to two decimal places)

33. A cylinder whose height is eight times its radius is melted and cast into spherical balls each of half the radius of the cylinder. Find the number of spherical balls.

34. ₹1,964 is divided among Ashish, Lalita and Pranav in such a way that if ₹50, ₹17 and ₹10 are deducted from their respective shares, they have money in the ratio 20:4:13. Find Lalita’s share.

35. A shopkeeper offers the following four schemes:

36. The ratio of two numbers is 3:4 and their HCF is 7. Their LCM is:

37. A person sells a table at a 7% profit. If he had sold it for ₹1,280 more, then his profit would have been 17%. Find the cost price of the table.

38. In a race, an athlete covers a distance of 420 m in 140 sec in the first lap. He covers the second lap of the same distance in 70 sec. What is the average speed (in m/sec) of the athlete?

39. In a test, B got 50 marks while A got 75 marks, out of 110 maximum marks. What percentage of A’s marks was B’s marks? (Round off your answer to two decimal places.)

40. The average age of 23 students of a class is 25 years. If the age of the teacher is also included, the average age of the whole group becomes 26 years. The age (in years) of the teacher is:

41. m long on the ground, then the angle of elevation of the sun is:

42. A room with a square base and height 10 ft occupies 25,000 ft 3 volume. The room has cubicles of base area 25 ft 2 in four corners. The walls and ceiling of the area of the room which is not occupied by cubicles is to be painted. How much area is to be painted?

43. A food outlet sells two types of meal combos. The first combo contains 2 sandwiches and 1 juice and costs ₹80. The second combo contains 1 sandwich and 2 juices and costs ₹70. What is the price of one sandwich?

44. 11124  

45. 4792  

46. One pipe can fill a tank in 6 minutes, while another pipe can empty the completely filled tank in 9 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?

47. What should come in place of the question mark (?) in the given series? 4 9 14 19 24 ?

48. Select the pair that follows the same pattern as the one followed by the two set of pairs given below. Both pairs follow the same pattern. VYA−EHJ HKM−QTV

49. 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) 8 1 2 9 6 7 5 1 7 8 9 7 8 4 3 5 8 2 7 4 9 3 5 6 4 1 6 (Right) How many such even digits are there, each of which is immediately preceded by an even digit and immediately followed by an odd digit?

50. 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.)

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

52. In a certain code language, A + B means ‘A is the son of B’, A - B means ‘A is the brother of B’, A x B means ‘A is the wife of B’, and A & B means ‘A is the father of B’. How is K related to V if ‘K & T x R - Z + V’?

53. In a certain code language, ‘FOUR’ is coded as ‘5812’ and ‘ROUT’ is coded as ‘5628’. What is the code for ‘T’ in that language?

54. Refer to the following number- symbol series and answer the question that follows. Counting is to be done from left to right only. (Left) 5 € $ 4 9 & & 4 € @ © 7 @ 7 9 1 8 # 8 % 5 £ (Right) How many such symbols are there each of which is immediately preceded by a number and also immediately followed by a number?

55. All 31 students in a class are standing in a row, facing north. Pooja is 9 th from the right end, while Tanya is 16 th from the left end. How many people stand between Pooja and Tanya?

56. Each of the digits in the number 1748563 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and second from the right in the new number thus formed?

57. Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only three people sit between D and E. B sits to the immediate left of E. No one sits to the right of G. Only two people sit between G and B. A sits to the immediate right of F. How many people sit to the right of C?

58. 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.)

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

60. Seven boxes, A, B, C, D, E, F and G, are kept one over the other, but not necessarily in the same order. Only four boxes are kept between A and E. Only C is kept above A. Only two boxes are kept between G and F. B is kept immediately above D. F is not kept immediately above B. How many boxes are kept below B?

61. Each of the digits in the number 756931482 is arranged in ascending order from left to right. What will be the sum of the digits which are third from the left and second from the right in the new number thus formed?

62. 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) 3 4 1 9 5 1 3 6 5 3 2 7 4 9 8 4 2 7 8 4 2 5 7 6 4 5 (Right) How many such even numbers are there, each of which is immediately preceded by an even number and immediately followed by an odd number?

63. What should come in place of the question mark (?) in the given series based on the English alphabetical order? DEL GFJ JGH MHF ?

64. The house of P is 5 km west of the house of Q. The house of R is 3 km north of the house of Q. The house of S is 10 km south of the house of R. In which direction is the house of S from the house of Q?

65. What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 79 ÷ 7 + 464 × 4 − 386 = ?

66. In a certain code language, ‘trust builds bond’ is coded as ‘zn fy tk’ and ‘keep your trust’ is coded as ‘fy ep rb’. How is ‘trust’ coded in that language?

67. This question is based on the five, three-digit numbers given below. (Left) 458 625 751 359 245 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) If all the numbers are arranged in descending order, then the position of how many numbers will remain unchanged?

68. What should come in place of the question mark (?) in the given series? 170 150 133 119 108 ?

69. Six people, A, B, C, D, E and F, are sitting in a row, facing north. A sits to the immediate left of F. C sits third to the left of E. C is an immediate neighbour of F. D sits to the immediate left of B. How many people sit between B and C?

70. MGRC is related to HCOA in a certain way based on the English alphabetical order. In the same way, VOWB is related to QKTZ. To which of the given options is QNVT related, following the same logic?

71. 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.) (15, 39, 87) (27, 51, 99)

72. What should come in place of the question mark (?) in the given series? 6 10 18 30 46 ?

73. Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? FEA 40 EDZ 32 DCY 24 CBX 16 ?

74. Prakash starts from Point A and drives 37 km towards the north. He then takes a left turn, drives 40 km, turns left and drives 55 km. He then takes a left turn and drives 64 km. He takes a final left 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-degree turns only unless specified.)

75. 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: Some vehicles are trucks. Some vehicles are lorries. Some trucks are buses. Conclusions: (I) Some vehicles are buses. (II) Some trucks are lorries.

76. JIKO is related to ZYAE in a certain way based on the English alphabetical order. In the same way, VUWA is related to LKMQ. To which of the given options is RQSW related, following the same logic?

77. The National Sports Governance Act, 2025, was enacted to address which of the following?

78. Which of the following Indian banks increased the minimum balance requirement for new customers for the semi-urban segment branches to ₹25,000, compared to its earlier ₹5,000 levels from August 1, 2025?

79. Which institute has developed an indigenously made point-of-care test kit for early diagnosis of Haemophilia A and Von Willebrand Disease?

80. Where was the Khelo India Winter Games, 2025, First Phase, held from 23 January?

81. Which of the following missile systems did India test within a 24-hour window in July 2025, showcasing strategic deterrence capabilities?

82. Which Odia poet won the Bal Sahitya Puraskar in June 2025 for Kete Phula Phutichhi?

83. The Italian Open, 2025, held in May 2025, was won by:

84. How many people were lifted out of extreme poverty in India between 2011-12 and 2022-23, as per the World Bank?

85. Apart from 30th January, on which other date is Martyrs’ Day observed in India to honour Bhagat Singh, Rajguru and Sukhdev?

86. Who became the oldest player to make a debut in men’s international cricket, appearing in a T20I match at the age of 62 years and 147 days in March 2025?

87. Which national park was declared India’s 58 th Tiger Reserve in March 2025?

88. What is the name of the submarine commissioned by India on January 15, 2025?

89. As reported in August 2025, which of the following relief measures did exporters request from the government and Reserve Bank of India (RBI) to help with financial strain caused by US tariffs?

90. Which government body is most likely involved in organising or supporting Esports Conclave 2025?

91. The Hynniewtrep Youth Council (HYC) raised objections against a proposed eco-tourism project in which of the following wildlife sanctuaries in May 2025?

92. Where was the National Conference on ‘Opportunities of Defence Manufacturing in the Country’ held in India on October 7, 2025?

93. Haryana’s 2025 environmental plan aims to fully eliminate stubble burning by which target year?

94. Which author’s work 'Paradise Inc.' critiques Western conservation models in Africa through memoir and photojournalism?

95. Which of the following Brazilian cities hosted the 17 th BRICS Summit on 6–7 July 2025?

96. In 2025, India launched Operation SINDOOR in response to a terror attack. The operation targeted terrorist camps in which region?