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IBPS RRB Group B Model Paper

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IBPS RRB Group B Model Paper

shape Introduction

Preliminary Examination is important to qualify for the Mains Examination. IBPS RRB Group B Prelims Practice & Mock Test section allows the candidates to understands the pattern of the exam and the expected questions that would appear in the actual test. SPLessons has made a sincere effort to provide a list of IBPS RRB Group B Prelims Exam related questions through the article IBPS RRB Group B Model Paper.

shape Pattern

SL. No. Name of test Medium of Exam Number of questions / Marks Duration
1 Reasoning Hindi/English 40 / 40

Composite time of 45 minutes
2 Numerical Ability Hindi/English 40 / 40
Total 80 / 80

shape Samples

Direction (1-5): Study the following information carefully answer the given questions:
Seven conferences on Marketing, Finance, HR, Real Estate, Hospitality, Management, and Banking were scheduled to be held in Mumbai, Pune, Delhi, Hyderabad, Indore, Bhopal and Chennai, on one day in a week starting from Monday and ending on Sunday. Conference on Hospitality was held in Hyderabad on Friday. Only one conference was held between conference on hospitality and Finance. Conference on Management was held immediately after HR but immediately before Banking. Conference on Management was not held in Indore. The conference held on Monday was held in Delhi. Only one Conference was held between conferences on Banking and the conference held in Mumbai. The conference on HR was not held in Mumbai. Conference in Pune was held immediately before conference in Indore. Conference on Real Estate was not held on Monday. Conference in Chennai was not held after conference in Mumbai
1. If Delhi is related to Pune and Banking is related to Real Estate in a certain way, then to which to the following would Indore be related to, following the same pattern?
    A. Bhopal B. Chennai C. Mumbai D. Delhi E. None of these

2. In which to the following cities was conference on Banking held?
    A. Chennai B. Mumbai C. Delhi D. Bhopal E. Indore

3. How many conferences were held between conferences on Marketing and Real Estate?
    A. None B. One C. Two D. Three E. Four

4. On which of the following days was the conference on HR held?
    A. Monday B. Tuesday C. Wednesday D. Thursday E. Friday

5. Which of the following conferences was held on Monday?
    A. Banking B. Management C. HR D. Marketing E. Cannot be determined

Direction (6-10): Study the information given below and answer the questions based on it
Y 4 8 A @ D F 3 # R N 1 M © W P δ J 2 E 5 Z * 6 Q B 7 $ H U 9 I K
6. Which of the following is the seventh to the right of the nineteenth from the right end of the above arrangement?
    A. 1 B. D C. Z D. $ E. None of these

7. Four of the following five are alike in a certain way based on their positions in the above arrangement and so form a group. Which is the one that does not belong to that group?
    A. D#A B. JWE C. 562 D. $9B E. RM3

8. How many such consonants are there in the above arrangement each of which is immediately preceded by a symbol and immediately followed by a letter?
    A. None B. One C. Two D. Three E. More than three

9. How many such numbers are there in the above arrangement each of which is immediately preceded by a letter and immediately followed by a symbol?
    A. None B. One C. Two D. Three E. More than three

10. What should come next in the following series based on the above arrangement. 8@D, #N1, WδJ. 5 * 6,?
    A. 7HU B. 7$U C. 7#9 D. BS# E. None of these

Direction (11 - 15): Study the following information carefully and answer the given questions.
Seven people, P, Q, R, S, T, W and X sitting in a straight line facing north, not necessarily in the same order. R sits at one of the extreme ends of the line. T has as many people sitting on his right, as on his left. S sits third to th left of X. Q sits on the immediate left of W. Q does not sit at any of the extreme ends of the line.
11. If all the people are made to sit in alphabetical order from right to left, the positions of how many people will remain unchanged?
    A. Five B. One C. Three D. None E. Two

12. How many people sit to the right of P?
    A. Four B. Five C. Two D. One E. None

13. Four of the following five are alike in a certain way, based on the information given above and so form a group which is the one that does not belong on that group?
    A. S B. P C. X D. Q E. W

14. Who amongst the following are the immediate neighbours of S?
    A. T and R B. Q and R C. W and R D. R and P E. None of these

15. Who amongst the following sits second to the right of the fourth person from the right end of the line?
    A. W B. Q C. R D. P E. None of these

Direction (16 - 20): In the following question, some statements followed by two conclusions (I and II) are given. Assuming the given statements to be true, find which of the two conclusions follow(s) the given statements and choose appropriate answer choice.
16. Statements: A ≥ B = C ≥ D H > I = J Conclusions: I. G ≤ A II. F > I
    A. Only I follows B. Only II follows C. Either I or II follows D. Neither I nor II follow E. Both I and II follow

17.Statements: X = L E = D ≥ F ≤ B; P > O ≥ N < S Conclusions: I. N < F II. M ≥ F
    A. Only I follows B. Only II follows C. Either I or II follows D. Neither I nor II follow E. Both I and II follow

18. Statements: Q = J E = D ≥ X ≤ C; K > O ≥ V < S Conclusions: I. W > Q II. K > C
    A. Only I follows B. Only II follows C. Either I or II follows D. Neither I nor II follow E. Both I and II follow

19. Statements: A > B > G E > F Conclusions: I. A > F II. B > D
    A. Only I follows B. Only II follows C. Either I or II follows D. Neither I nor II follow E. Both I and II follow

20. Statements: Q= C ≥ E ≥ R, P ≤ O = R ≥ U, Z ≤ X < O ≥ V Conclusions: I. Q > Z II. Z = Q
    A. Only I follows B. Only II follows C. Either I or II follows D. Neither I nor II follow E. Both I and II follow

Direction (21-25): Study the information given below and answer the questions based on it.
D, E, F, G, H, P, Q and R are seated in a straight line but not necessarily in the same order. Some of them are facing south while some are facing north. G faces south direction. D sits fourth to the left of P. P sits at one of the extreme ends of the line. Both the immediate neighbours of D face North. E sits second to left of R. R is not an immediate neighbour of D. Neither R nor F sits at the extreme end of the line. F faces opposite direction to G. Both the immediate neighbours of F face North. H sits to the immediate left of Q. Immediate neighbours of G face opposite directions (i.e. if one neighbour of G faces North then the other faces South and vice-versa). Immediate neighbours of E face opposite directions (i.e., if one neighbour of E faces North then the other faces South and vice-versa). People sitting at the extreme ends face the opposite directions.
21. How many persons are seated between E and P?
    A. 4 B. 3 C. 6 D. 1 E. 2

22. Who among the following sit at the extreme?
    A. P and R B. R and Q C. P and Q D. D and E E. None of these

23. Who sits third to the right of G?
    A. F B. D C. No One D. R E. None of these

24. Who among the following sits exactly between F and Q?
    A. D B. H C. E D. P E. None of these

25. How many members are facing south?
    A. 3 B. 2 C. 5 D. 4 E. None of these

Direction (26-30): Following questions are based on the five three-digit numbers given below: 428, 391, 745, 682, 534
26. If '1' is added to the last digit of every odd number and '1' is subtracted from the last digit of every even number, what will be difference between the lowest odd number and the lowest even number thus formed?
    A. 211 B. 91 C. 38 D. 46 E. 35

27. If the positions of the first and the second digits of each of the numbers are interchanged, which of the following will be the difference between the highest and the second highest numbers thus formed?
    A. 69 B. 106 C. 79 D. 121 E. 46

28. If 1 is subtracted from the middle digit of each number, then how many such numbers will be divisible by 3?
    A. None B. One C. Two D. Three E. Four

29. If all the numbers are arranged in descending order from left to right, which of the following will be sum of all three-digits of the number which is fourth from the left?
    A. 16 B. 19 C. 14 D. 12 E. 13

30. What will be the resultant if second digit of the lowest number is divided by its first digit?
    A. 2 B. 3 C. 1.33 D. 6 E. 1.2

Direction (31 - 35): Each of the questions below consists of a question and two statements numbered, I and II given below it. You have to decide whether the data given in the statements are sufficient to answer the question. Read both statements and choose the most appropriate option.
    A. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question B. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. C. If the data either in statement I or in statement II alone are sufficient to answer the question D. If the data even in both statements I & II together are not sufficient to answer the question. E. If the data in both statements I and II together are necessary to answer the question.

31. Who is oldest among Shane, Shaun, Joseph and Jason?
I. Jason is older than Shane and Joseph. II. Shaun is younger than Joseph
32. How is ‘happy’ written in a code language?
I. ‘I happy today’ is written as ‘ke ne que’ and ‘today happy day’ is written as ‘ke joi ne’. II. ‘I play’ is written as ‘qua pa’.
33. What is the color of white snow in a color code?
I. ‘Green’ is called ‘Black’, ‘Black’ is called Blue, and ‘Blue’ is called ‘Red’. II. ‘Red’ is called ‘White’ and ‘White’ is called ‘Orange’
34. Among M, N, D, P and K, who earns more than only the least earner among them?
I. N earns more than M and P but less than only D. II. M earns more than P who earns more than K.
35. Who among P, Q, R, S and T is the lightest?
I. R is heavier than Q and T but lighter than S. II. S is not the heaviest.
Direction (36-38): Study the information given below and answer the questions based on it.
There are 7 members in a three-generation family. M is niece of N. O is sister-in-law of P. Q is sister of R’s paternal grandmother’s only son. N and P are not related by blood. S has only one granddaughter.
36. How R is related to M?
    A. Father B. Mother C. Cousin D. Son E. Daughter

37. If an outsider X married to S then how X is related to Q?
    A. Mother B. Brother C. Son D. Father E. None of these

Direction (38-40): Study the information given below and answer the questions based on it.
Point N is 7m to the west of Point Y, which is 8m to the south of Point S. Point N is 15m to the north of Point W and 10m to the west of Point C. Point A is 12m to the north of Point K which is 20m to the east of Point W. A is to the south of T which forms a straight line with Y
38. N is at what distance and in which direction with respect to K?
    A. 24m, North-West B. 25m, North-West C. 25m, North-East D. 24m, East E. 25m, North

39. S is in which direction with respect to T?
    A. South-East B. North-West C. North-East D. West E. Cannot be determined

40. Which of the given combination of points form a rectangle?
    A. YCAW B. NTKW C. NWAK D. TKCW E. Such case does not exist

1. Answer: Option c
Explanation:
Day Conference City
Monday Marketing Delhi
Tuesday Hr Chennai
Wednesday Management Pune
Thursday Banking Indore
Friday Hospitality Hyderabad
Saturday Resalestate Mumbai
Sunday Finance Bhopal

2. Answer: Option E
Explanation: Refer to the table in explanation of Q1
3. Answer: Option E
Explanation: Refer to the table in explanation of Q1
4. Answer: Option B
Explanation: Refer to the table in explanation of Q1
5. Answer: Option D
Explanation:
6. Answer: Option C
Explanation: 19th from the right is W, and 7th to the right of W is Z
7. Answer: Option B
Explanation: In all others Ist character + 3 = second character and First character -2 = third character
8. Answer: Option E
Explanation: @ D F, # R N, © W P and $ H U
9. Answer: Option C Explanation: F 3 # and B 7 $
10. Answer: Option A
Explanation: Series follows -2, +1
11. Answer: Option B
Explanation: From the given conditions, we can conclude:
12. Answer: Option A
Explanation: Refer to the image in explanation of Q11
13. Answer: Option E
Explanation: Refer to the image in explanation of Q11
14. Answer: Option D
Explanation: Refer to the image in explanation of Q11
15. Answer: Option B
Explanation: Refer to the image in explanation of Q11
16. Answer: Option E
Explanation: G = D ≤ C = B ≤ A F = E > D > H >I G ≤ A (True) F > I (True)
17. Answer: Option B
Explanation: M = G ≥ D ≥ F I. N < F (There is no relation between N and F.) II. M ≥ F (True)
18. Answer: Option A
Explanation: W > E = D > J = Q I. W > Q (True) II. K > C (Not true)
19. Answer: Option A
Explanation: A > B > G > E > F So, conclusion I follows A > F So, conclusion II does not follows as there is no relation between B and D Only conclusion I follows
20. Answer: Option A
Explanation: Z≤X Z (True) Z = Q (False) Only I follows.
21. Answer: Option E
Explanation: From the given conditions, we can conclude:
South South South North North North North North
P R G E D F H Q

22. Answer: Option C
Explanation: Refer to the image in explanation of Q21
23. Answer: Option C
Explanation: Refer to the image in explanation of Q21
24. Answer: Option B
Explanation: Refer to the image in explanation of Q21
25. Answer: Option A
Explanation: Refer to the image in explanation of Q21
26. Answer: Option E
Explanation: 428 → 427 682 → 681 391 → 392 745 → 746 534 → 533 Required difference → 427 – 392 = 35
27. Answer: Option A
Explanation: 428 → 248 391 → 931 745 → 475 682 → 862 534 → 354 Required difference → 931 – 862 = 69
28. Answer: Option D
Explanation: 428 → 418 391 → 381 745 → 735 682 → 672 534 → 524 Number divisible by 3 [latex]\frac{381}{3}[/latex] = 127, [latex]\frac{735}{3}[/latex] = 245, [latex]\frac{637}{3}[/latex] = 224
29. Answer: Option C
Explanation: 745 > 682 > 534 > 428 > 391 Required sum = 4+2+8 = 14
30. Answer: Option B
Explanation: Lower number = 391 [latex]\frac{9}{3}[/latex] = 3
31. Answer: Option E
Explanation: from both statements, Jason is oldest among all. So, data in both statements I and II together are necessary to answer the question.
32. Answer: Option D
Explanation: So, from both statements, the code of happy cannot exactly determined. So, the data even in both statements I and II together are not sufficient to answer the question.
33. Answer: Option B
Explanation: So, the white snow is ‘orange’ So, data in statement II alone are sufficient to answer the question.
34. Answer: Option D
Explanation: From I and II: D > N > M > P > K.
35. Answer: Option D
Explanation: From I, we have: R > Q, R > T, S > R i.e. S > R > Q > T or S > R > T > Q. From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest
36. Answer: Option C
Explanation:
37. Answer: Option D
Explanation: Refer to the image in explanation of Q36
38. Answer: Option B
Explanation:
39. Answer: Option B
Explanation: Refer to the image in explanation of Q38
40. Answer: Option B
Explanation: Refer to the image in explanation of Q38

41. The upstream speed of a boat is 18 km/hr which is 500% more than the speed of stream. Find how much distance boat will cover in 3 hours while travelling in downstream
    A. 66 km B. 63 km C. 72 km D. 75 km E. 78 km


42. If [latex]{A}^{2}[/latex]– [latex]{B}^{2}[/latex] = 252 and A + B = 42 then find the value of ‘B’?
    A. 18 B. 16 C. 14 D. 20 E. 22

43. A alone can do a work in 40 days. The ratio of time taken by A and B to do the same work is 5: 3. Then, find in how many days both will complete the work together?
    A. 18 days B. 12 days C. 20 days D. 15 days E. 10 days

44. A train having speed of 72 km/hr crosses a pole in 18 sec and a platform in 33 sec. Find the length of platform?
    A. 320 m B. 300 m C. 330 m D. 360 m E. 350 m

45. The circumference of a circle is 66 cm. Find the approximate area of square if the radius of circle is two times of the side of a square.
    A. 18 cm² B. 32 cm² C. 25 cm² D. 36 cm² E. 28 cm²

Direction (46-50): There are total five departments in a company. There are total 90 employees in Finance department which is 25% of total employees in the company. latex]\frac{2}{9}[/latex] of the total employees of the company are working in HR department. Employees working in Sales department is 25% more than that in HR department. Ratio between employees working in Security and Housing department is 4 : 5.
46. Find number of employees working in HR department is what percent more than number of employees working in Security department?
    A. 250% B. 200% C. 150% D. 100% E. 50%

47. Find the average number of employees working in Sales, Finance and Housing department ?
    A. 60 B. 70 C. 80 D. 90 E. 100

48. Number of employees in Housing department is how much more than number of employees in Security department?
    A. 10 B. 20 C. 30 D. 40 E. 50

49. In Security department, 40% are female employees then find total male employees working in Security department?
    A. 16 B. 40 C. 32 D. 8 E. 24

50. Ratio between total number of male and female employees in HR department is 2 : 3. Find total number of male employees working in HR department?
    A. 32 B. 48 C. 64 D. 40 E. 56

Direction (51-55): Table given below shows marks obtained by four students in four different subjects in an exam. Study the data carefully and answer the following questions.
Subjects English Hindi Science Maths
Students
Paul 65 60 80 65
Adhitya 75 75 60 75
Neeraj 85 55 95 85
Sandy 60 60 65 60

51. Marks scored by Sandy in English and Maths together is what percent of the Marks scored by Aditya and Neeraj in English together?
    A. 25% B. 50% C. 75% D. 100% E. 125%

52. Find the ratio of total marks scored by all four students together in Hindi to total marks scored by all four students together in Science?
    A. 5 : 6 B. 57 : 50 C. 1 : 1 D. 20 : 19 E. 6 : 5

53. Total marks scored by Paul are how much more/less than total marks scored by Neeraj?
    A. 70 B. 60 C. 40 D. 50 E. 80

54. Find the average of the marks scored by Aditya in English, Hindi and Science together?
    A. 65 B. 85 C. 80 D. 75 E. 70

55. If maximum marks for each subject are 100 then find what percentage of total marks is obtained by Sandy?
    A. 64.25% B. 61.25% C. 67.25% D. 70.25% E. 73.25%

56. An article was sold at a discount of 20% at Rs. 1020. If the article was sold at discount of Rs. 199 in place of 20% discount then find the selling price
    A. Rs. 1066 B. Rs. 1076 C. Rs. 1086 D. Rs. 1096 E. Rs. 1094

57. The total age of A, B and C four years hence will be 98 years. Find the age of C four years hence if the present age of A and B is 32 years and 23 years respectively.
    A. 31 yr. B. 32 yr. C. 35 yr. D. 37 yr. E. 33 yr.

58. A invests Rs. 12,000 for X months while B invests Rs. 16,000 for 9 months in a scheme. The profit share of B is Rs. 12,000 out of total profit Rs. 21,000. Then find the value of X?
    A. 6 months B. 9 months C. 8 months D. 7 months E. 10 months

59. A mixture of milk and water contains 60% milk and remaining water. How much water should be added (in percentage) in mixture to reverse the proportion of milk and water?
    A. 25% B. 37.5% C. 62.5% D. 75% E.50%

60. The simple interest on a certain sum for 2 years at 8% per annum is Rs. 225 less than the compound interest on the same sum for 2 years at 10% per annum. The sum is:
    A. Rs. 3200 B. Rs. 4200 C. Rs. 4000 D. Rs. 3600 E. Rs. 4500

Direction (61-65): What approximate value should come in place of question mark (?) in the following questions?
61. (√1443) ÷ 19.01 + 328 = ? × 22
    A. 10 B. 12 C. 18 D. 15 E. 22

62. 29.98% of 880.001 = ? + 110.9
    A. 144 B. 153 C. 158 D. 160 E. 163

63. (?)² + 255.93 = 49.932% of 800.112
    A. 12 B. 8 C. 15 D. 18 E. 6

64. √144 +? = 256
    A. 230 B. 235 C. 238 D. 241 E. 244

65. 74.91% of ? = (17.932)²
    A. 420 B. 425 C. 408 D. 432 E. 444

Direction (66-70): Find the wrong number in the given number series questions.
66. 100, 118, 136, 149, 160, 167, 172
    A. 172 B. 160 C. 100 D. 118 E. 136

67. 1.5, 2.5, 6, 24, 100, 505, 3036
    A. 1.5 B. 6 C. 100 D. 3036 E. 2.5

68. 160, 80, 80, 120, 240, 600, 900
    A. 240 B. 120 C. 160 D. 900 E. 600

69. 5040, 2520, 840, 210, 42, 8, 1
    A. 8 B. 5040 C. 840 D. 1 E. 42

70. 15, 17, 26, 151, 200, 929, 1050
    A. 17 B. 1050 C. 15 D. 929 E. 26

Direction (71 - 80): What value should come in place of question mark (?) in the following questions?
71. [latex]{?}^{2}[/latex] = 42 + 82 - 31
    A. 6 B. 7 C. 8 D. 9 E. 10

72. 13 × 6 + ? × 4 = 18 × 7
    A. 6 B. 8 C. 10 D. 12 E. 14

73. 40% of ? = 25% of 320 + 75% of 160
    A. 500 B. 400 C. 300 D. 200 E. 100

74. 112 + 62 = ? + 37
    A. 130 B. 110 C. 120 D. 140 E. 150

75. [latex]\frac{}{}[/latex]360 / ? = 12 × 6 - 33
    A. 9 B. 5 C. 6 D. 7 E. 8

76. √225 + √441 = ?2
    A. 3 B. 4 C. 5 D. 6 E. 8

77. 16 × 8 - ?= [latex]{2}^{6}[/latex]
    A. 64 B. 32 C. 128 D. 192 E. 96

78. 16 × 54 ÷ 36 + 6 = ?
    A. ([latex]\frac{44}{7}[/latex]) B. 30 C. 20 D. 24 E. 16

79. ?= √(6 × 3 × 5 + 50% of 620)
    A. 14 B.16 C.28 D.10 E.20

80. 62 = [latex]\frac{(18 × 8 - ? × 2)}{3}[/latex]
    A. 36 B. 27 C. 18 D. 9 E. 54

41. Answer: Option C
Explanation: Let the speed of stream be x km/hr Then, Speed of upstream = x × [latex]\frac{600}{100}[/latex] = 18 ⇒ x = 3 km/hr Speed of boat in still water = 18 + 3 = 21 km/hr Distance covered in 3 hours in downstream = (21 + 3) × 3 = 72 km
42. Answer: Option A
Explanation: (A + B)(A – B) = 252 ⇒ 42 × (A – B) = 252 [A + B = 42 given] ⇒ (A – B) = 6 … (i) And A + B = 42 … (ii) Solve (i) and (ii), we get B = 18
43. Answer: Option D
Explanation: Let the time taken by A and B be 5x days and 3x days respectively. ⇒ 5x = 40 days ⇒ x = 8 days B’s time = 3 × 8 = 24 days Time taken by both together to complete the work = [latex]\frac{(40 × 24)}{(40 + 24)}[/latex] = 15 days
44. Answer: Option B
Explanation: Speed of train =72 km/hr= 30 m/s Length of train = 18 × 20 = 360 m Length of (train + platform) = 20 × 33 = 660 m ∴ length of platform = 660 m – 360 m = 300 m
45. Answer: Option E
Explanation: radius = 66 ×[latex]\frac{7}{(2 × 22)}[/latex] = [latex]\frac{21}{2}[/latex] Side of square =[latex]\frac{21}{4}[/latex] Area of square= ([latex]{\frac{21}{4}}^{2}[/latex]) = [latex]\frac{441}{16}[/latex] = 28 sq. cm. (approx.)
46. Answer: Option D
Explanation: Let total employees in company be 100x ATQ, ([latex]\frac{25}{100}[/latex]) × 100x = 90 ⇒ Total employees in company = 100x = 360 Employees working in HR department = ([latex]\frac{2}{9}[/latex]) × 360 = 80 Employees working in Sales department = ([latex]\frac{125}{100}[/latex])× 80 = 100 Remaining employees = 360 − 90 − 80 − 100 = 90 Employees working in Security department = ([latex]\frac{4}{9}[/latex]) × 90 = 40 Employees working in Housing department = ([latex]\frac{5}{9}[/latex])× 90 = 50
Sales Finance HR Security Housing Total
100 90 80 40 50 360

{[latex]\frac{(80 - 40)}{40}[/latex]} × 100 = 100%
47. Answer: Option C
Explanation: Refer to the image in explanation of Q46 [latex]\frac{(100 + 90 +50)}{3}[/latex] = [latex]\frac{240}{3}[/latex] = 80
48. Answer: Option A
Explanation: Refer to the image in explanation of Q46 (50 - 40) = 10
49. Answer: Option E
Explanation: Refer to the image in explanation of Q46 40 - ([latex]\frac{40}{100}[/latex]) × 40 = 24
50. Answer: Option A
Explanation: Refer to the image in explanation of Q46 80 × ([latex]\frac{2}{5}[/latex])= 32
51. Answer: Option C
Explanation: Marks scored by Sandy in English and Maths together = 60 + 60 = 120 Marks scored by Aditya and Neeraj in English together = 75 + 85 = 160 Required % = [latex]\frac{120}{160}[/latex] × 100 = 75%
52. Answer: Option A
Explanation: Required ratio = [latex]\frac{(60 +75 + 55 + 60)}{(80 + 60 + 90 + 65)}[/latex] = 5 : 6
53. Answer: Option D
Explanation: Total marks scored by Paul = 65 + 60 + 80 + 65 = 270 Total marks scored by Neeraj = 85 + 55 + 95 + 85 = 320 Required difference = 320 − 270 = 50
54. Answer: Option E
Explanation: Required average = [latex]\frac{(75 + 75 + 60)}{3}[/latex] = 70
55. Answer: Option B
Explanation: Required %= [latex]\frac{(60 + 60+ 65 + 60)}{4}[/latex] =61.25%
56. Answer: Option B
Explanation: MP of article = ([latex]\frac{1020}{80}[/latex]) × 100 = Rs. 1275 Selling price = 1275 – 199 = Rs. 1076
57. Answer: Option C
Explanation: Sum of present age of A, B and C = 98 – 4 × 3 = 98 – 12 = 86 yr. Present age of C = 86 – (32 + 23) = 31 yr. Age of C four years hence = 31 + 4 = 35 yr.
58. Answer: Option B
Explanation: Profit shere ratio of A : B = 12000x : 16000 × 9 = x/12 [latex]\frac{x}{12}[/latex] = [latex]\frac{9000}{12000}[/latex] x = 9 months
59. Answer: Option E
Explanation: Let, total quantity = 100ℓ Quantity of milk = 60 ℓ And quantity of water = 40 ℓ ATQ, 2 (100 + x) = 5 × 60 [latex]\frac{40}{100}[/latex] = [latex]\frac{60}{100}[/latex] + x 200 + 2x = 300 2x = 100 x = 50 ℓ Water added in % = [latex]\frac{50}{100}[/latex] × 100 = 50%
60. Answer: Option E
Explanation: Let the sum be Rs. P. Difference = P[latex]{(1 + 0.1)}^{2}[/latex] -P × (1.16) ⇒ P = Rs. 4500
61. Answer: Option D
Explanation: (√1443) ÷ 19.01 + 328 = ? × 22 ⇒ [latex]\frac{38}{19}[/latex] + 328 = ? × 22 ? = ([latex]\frac{330}{22}[/latex]) = 15
62. Answer: Option B
Explanation: 30% of 880 = ? + 111 ⇒ [latex]\frac{(30 × 880)}{100}[/latex] = ? +111 ? = 264 – 111 = 153
63. Answer: Option A
Explanation: (?)² = 400 - 256 = 144 (?)= 12
64. Answer: Option E
Explanation: 12 + ? = 256 ? = 244
65. Answer: Option D
Explanation: ([latex]\frac{75}{100}[/latex]) × ? = 324 ?= 432
66. Answer: Option D
Explanation:
67. Answer: Option B
Explanation:
68. Answer: Option D
Explanation:
69. Answer: Option A
Explanation:
70. Answer: Option C
Explanation:
71. Answer: Option B
Explanation: [latex]{?}^{2}[/latex] = 49 ? = 7
72. Answer: Option D
Explanation: ?= [latex]\frac{(126 - 108)}{4}[/latex] = 12
73. Answer: Option A
Explanation: ? = ([latex]\frac{5}{2}[/latex]) × (80 + 120)= 500
74. Answer: Option C
Explanation: ? = (121 + 36 - 37) = 120
75. Answer: Option E
Explanation: ? = [latex]\frac{360}{(72 - 27)}[/latex] = 8
76. Answer: Option D
Explanation: ? = (15 + 21)([latex]\frac{1}{2}[/latex]) = 6
77. Answer: Option A
Explanation: ? = 128 - 64 = 64
78. Answer: Option B
Explanation: ? = 24 + 6 = 30
79. Answer: Option E
Explanation: ?= (90 + 310)([latex]\frac{1}2{}[/latex]) = 20
80. Answer: Option C
Explanation: ? = [latex]\frac{{(18 × 8) - (36 × 3)}}{2}[/latex]= 18

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