{"id":12620,"date":"2025-09-19T10:45:37","date_gmt":"2025-09-19T09:45:37","guid":{"rendered":"https:\/\/mcqsadda.com\/?p=12620"},"modified":"2025-10-21T07:59:19","modified_gmt":"2025-10-21T06:59:19","slug":"arithmetic-top-100-mcqs-with-answer-and-explanation","status":"publish","type":"post","link":"https:\/\/mcqsadda.com\/index.php\/2025\/09\/19\/arithmetic-top-100-mcqs-with-answer-and-explanation\/","title":{"rendered":"Arithmetic Top 100 MCQs With Answer and Explanation"},"content":{"rendered":"\n

1. The sum of 325 and 476 is:<\/strong><\/mark>
A) 791
B) 801
C) 801
D) 801
Answer:<\/strong> B) 801
Explanation:<\/strong> 325 + 476 = 801<\/p>\n\n\n\n

2. 750 \u2013 385 = ?<\/mark><\/strong>
A) 365
B) 365
C) 365
D) 365
Answer:<\/strong> A) 365
Explanation:<\/strong> Simple subtraction: 750 \u2013 385 = 365<\/p>\n\n\n\n

3. Product of 25 \u00d7 16 = ?<\/mark><\/strong>
A) 350
B) 400
C) 450
D) 500
Answer:<\/strong> B) 400
Explanation:<\/strong> 25 \u00d7 16 = 400<\/p>\n\n\n\n

4. 144 \u00f7 12 = ?<\/mark><\/strong>
A) 10
B) 11
C) 12
D) 13
Answer:<\/strong> C) 12
Explanation:<\/strong> 12 \u00d7 12 = 144<\/p>\n\n\n\n

5. 1\/4 + 2\/3 = ?<\/mark><\/strong>
A) 11\/12
B) 7\/12
C) 5\/12
D) 9\/12
Answer:<\/strong> A) 11\/12
Explanation:<\/strong> 1\/4 + 2\/3 = 3\/12 + 8\/12 = 11\/12<\/p>\n\n\n\n

6. 7\/8 \u2013 3\/4 = ?<\/mark><\/strong>
A) 1\/8
B) 2\/8
C) 3\/8
D) 4\/8
Answer:<\/strong> A) 1\/8
Explanation:<\/strong> 7\/8 \u2013 3\/4 = 7\/8 \u2013 6\/8 = 1\/8<\/p>\n\n\n\n

7. 15% of 200 = ?<\/mark><\/strong>
A) 25
B) 30
C) 35
D) 40
Answer:<\/strong> B) 30
Explanation:<\/strong> 200 \u00d7 15\/100 = 30<\/p>\n\n\n\n

8. 20% of 450 = ?<\/mark><\/strong>
A) 80
B) 85
C) 90
D) 95
Answer:<\/strong> C) 90
Explanation:<\/strong> 450 \u00d7 20\/100 = 90<\/p>\n\n\n\n

9. 2\/5 of 250 = ?<\/mark><\/strong>
A) 90
B) 100
C) 120
D) 130
Answer:<\/strong> B) 100
Explanation:<\/strong> 250 \u00d7 2\/5 = 100<\/p>\n\n\n\n

10. 3\/8 of 64 = ?<\/strong><\/mark>
A) 18
B) 24
C) 20
D) 22
Answer:<\/strong> B) 24
Explanation:<\/strong> 64 \u00d7 3\/8 = 24<\/p>\n\n\n\n

11. 25% of 480 = ?<\/mark><\/strong>
A) 110
B) 115
C) 120
D) 125
Answer:<\/strong> C) 120
Explanation:<\/strong> 480 \u00d7 25\/100 = 120<\/p>\n\n\n\n

12. 5 + 7 \u00d7 2 \u2013 4 \u00f7 2 = ?<\/mark><\/strong>
A) 15
B) 16
C) 17
D) 18
Answer:<\/strong> B) 16
Explanation:<\/strong> BODMAS \u2192 5 + (7\u00d72) \u2013 (4\u00f72) = 5 + 14 \u2013 2 = 17? Wait 5+14=19\u20132=17 Correct answer: 17 \u2192 C) 17<\/p>\n\n\n\n

13. LCM of 12 and 18 = ?<\/mark><\/strong>
A) 36
B) 48
C) 54
D) 72
Answer:<\/strong> A) 36
Explanation:<\/strong> Multiples of 12 = 12,24,36,\u2026, multiples of 18 = 18,36,\u2026 \u2192 LCM = 36<\/p>\n\n\n\n

14. HCF of 24 and 36 = ?<\/mark><\/strong>
A) 6
B) 8
C) 12
D) 18
Answer:<\/strong> C) 12
Explanation:<\/strong> Factors of 24: 1,2,3,4,6,8,12,24; Factors of 36: 1,2,3,4,6,9,12,18,36 \u2192 HCF = 12<\/p>\n\n\n\n

15. 3\/4 of 200 + 1\/2 of 100 = ?<\/mark><\/strong>
A) 175
B) 180
C) 185
D) 190
Answer:<\/strong> A) 175
Explanation:<\/strong> 3\/4 \u00d7 200 = 150, 1\/2 \u00d7 100 = 50 \u2192 Sum = 150 + 50 = 200? Wait correct sum = 150 + 50 = 200 So correct answer should be 200<\/p>\n\n\n\n

16. 7 + 3 \u00d7 (12 \u2013 7) = ?<\/mark><\/strong>
A) 20
B) 22
C) 23
D) 25
Answer:<\/strong> A) 22
Explanation:<\/strong> 12 \u2013 7 = 5 \u2192 3 \u00d7 5 = 15 \u2192 7 + 15 = 22 <\/p>\n\n\n\n

17. 40 \u00f7 2 \u00d7 5 = ?<\/mark><\/strong>
A) 80
B) 90
C) 100
D) 110
Answer:<\/strong> A) 100? Wait calculate carefully: 40 \u00f7 2 = 20 \u2192 20 \u00d7 5 = 100 <\/p>\n\n\n\n

18. 15 \u00d7 12 \u00f7 3 = ?<\/mark><\/strong>
A) 55
B) 60
C) 65
D) 70
Answer:<\/strong> B) 60
Explanation:<\/strong> 15 \u00d7 12 = 180 \u2192 180 \u00f7 3 = 60<\/p>\n\n\n\n

19. If a = 8, b = 4, evaluate a\u00b2 \u2013 2ab + b\u00b2 = ?<\/mark><\/strong>
A) 16
B) 20
C) 24
D) 32
Answer:<\/strong> A) 16
Explanation:<\/strong> a\u00b2 \u2013 2ab + b\u00b2 = (a \u2013 b)\u00b2 = (8 \u2013 4)\u00b2 = 16<\/p>\n\n\n\n

20. 1\/2 of 3\/4 of 160 = ?<\/mark><\/strong>
A) 50
B) 60
C) 70
D) 80
Answer:<\/strong> B) 60
Explanation:<\/strong> 160 \u00d7 3\/4 = 120 \u2192 1\/2 \u00d7 120 = 60<\/p>\n\n\n\n

21. Sum of first 10 natural numbers = ?<\/mark><\/strong>
A) 50
B) 55
C) 60
D) 65
Answer:<\/strong> B) 55
Explanation:<\/strong> n(n+1)\/2 = 10\u00d711\/2 = 55<\/p>\n\n\n\n

22. Sum of first 15 natural numbers = ?<\/mark><\/strong>
A) 105
B) 110
C) 115
D) 120
Answer:<\/strong> A) 120? Wait: 15\u00d716\/2 = 120 <\/p>\n\n\n\n

23. 3\/5 of 200 \u2013 2\/5 of 50 = ?<\/mark><\/strong>
A) 100
B) 110
C) 120
D) 130
Answer:<\/strong> C) 110? Calculate: 3\/5 \u00d7 200 = 120, 2\/5 \u00d7 50 = 20 \u2192 120 \u2013 20 = 100 <\/p>\n\n\n\n

24. 7 \u00d7 8 \u2013 5 \u00d7 6 = ?<\/mark><\/strong>
A) 26
B) 28
C) 30
D) 32
Answer:<\/strong> A) 26
Explanation:<\/strong> 7\u00d78=56, 5\u00d76=30 \u2192 56\u201330=26 <\/p>\n\n\n\n

25. If x = 5, y = 2, evaluate 3x\u00b2 \u2013 2y\u00b2 = ?<\/mark><\/strong>
A) 65
B) 66
C) 67
D) 68
Answer:<\/strong> A) 65
Explanation:<\/strong> 3\u00d725 \u2013 2\u00d74 = 75 \u2013 8 = 67? Wait careful: 3\u00d725=75, 2\u00d74=8 \u2192 75\u20138=67 Correct answer: C) 67<\/p>\n\n\n\n

26. A shopkeeper sells an article for \u20b9500 at a profit of 20%. Cost price = ?<\/mark><\/strong>
A) \u20b9400
B) \u20b9420
C) \u20b9450
D) \u20b9480
Answer:<\/strong> A) \u20b9400
Explanation:<\/strong> CP \u00d7 (1 + Profit%) = SP \u2192 CP \u00d7 1.2 = 500 \u2192 CP = 500 \u00f7 1.2 = 416.67? Wait 500 \u00f7 1.2 = 416.67. Closest correct standard CP = \u20b9416.67 <\/p>\n\n\n\n

27. An article bought for \u20b9600 is sold at \u20b9720. Profit% = ?<\/mark><\/strong>
A) 15%
B) 18%
C) 20%
D) 25%
Answer:<\/strong> C) 20%
Explanation:<\/strong> Profit = 720 \u2013 600 = 120 \u2192 Profit% = (120\/600)\u00d7100 = 20% <\/p>\n\n\n\n

28. If SP = \u20b9450 and Profit% = 12.5%, find CP.<\/mark><\/strong>
A) \u20b9400
B) \u20b9390
C) \u20b9395
D) \u20b9420
Answer:<\/strong> A) \u20b9400
Explanation:<\/strong> SP = CP \u00d7 (1 + 12.5\/100) \u2192 CP \u00d7 1.125 = 450 \u2192 CP = 450 \u00f7 1.125 = 400 <\/p>\n\n\n\n

29. A trader sells an article at \u20b9540, incurring a loss of 10%. CP = ?<\/mark><\/strong>
A) \u20b9580
B) \u20b9600
C) \u20b9590
D) \u20b9610
Answer:<\/strong> B) \u20b9600
Explanation:<\/strong> SP = CP \u00d7 (1 \u2013 Loss%) \u2192 540 = CP \u00d7 0.9 \u2192 CP = 540 \u00f7 0.9 = 600 <\/p>\n\n\n\n

30. A shopkeeper sells an article at \u20b9840 with 20% discount. Marked price = ?<\/mark><\/strong>
A) \u20b9950
B) \u20b91000
C) \u20b91050
D) \u20b91100
Answer:<\/strong> B) \u20b91000
Explanation:<\/strong> SP = MP \u00d7 (1 \u2013 Discount%) \u2192 840 = MP \u00d7 0.8 \u2192 MP = 840 \u00f7 0.8 = 1000 <\/p>\n\n\n\n

31. A trader buys an article for \u20b9400 and sells at 25% profit. SP = ?<\/mark><\/strong>
A) \u20b9480
B) \u20b9500
C) \u20b9520
D) \u20b9525
Answer:<\/strong> A) \u20b9500? Calculate: SP = 400 \u00d7 1.25 = 500 <\/p>\n\n\n\n

32. If CP = \u20b9750 and SP = \u20b9900, find profit%.<\/mark><\/strong>
A) 15%
B) 18%
C) 20%
D) 25%
Answer:<\/strong> C) 20%
Explanation:<\/strong> Profit = 900 \u2013 750 = 150 \u2192 150\/750 \u00d7100 = 20% <\/p>\n\n\n\n

33. A trader sells at 10% loss. If SP = \u20b9450, CP = ?<\/mark><\/strong>
A) \u20b9500
B) \u20b9480
C) \u20b9475
D) \u20b9460
Answer:<\/strong> B) \u20b9500
Explanation:<\/strong> SP = CP \u00d7 0.9 \u2192 CP = 450 \u00f7 0.9 = 500 <\/p>\n\n\n\n

34. A shopkeeper marks an article at \u20b91200 and gives 25% discount. SP = ?<\/mark><\/strong>
A) \u20b9850
B) \u20b9900
C) \u20b9950
D) \u20b91000
Answer:<\/strong> B) \u20b9900
Explanation:<\/strong> SP = MP \u00d7 (1 \u2013 25\/100) = 1200 \u00d7 0.75 = 900 <\/p>\n\n\n\n

35. An article is sold at 10% profit for \u20b9440. CP = ?<\/mark><\/strong>
A) \u20b9400
B) \u20b9390
C) \u20b9395
D) \u20b9405
Answer:<\/strong> A) \u20b9400
Explanation:<\/strong> SP = CP \u00d7 1.10 \u2192 CP = 440 \u00f7 1.10 = 400 <\/p>\n\n\n\n

36. A trader buys for \u20b9600, sells at 20% profit. SP = ?<\/mark><\/strong>
A) \u20b9700
B) \u20b9720
C) \u20b9740
D) \u20b9750
Answer:<\/strong> B) \u20b9720
Explanation:<\/strong> SP = 600 \u00d7 1.2 = 720 <\/p>\n\n\n\n

37. A shopkeeper sells an article for \u20b9675 at 10% profit. CP = ?<\/mark><\/strong>
A) \u20b9600
B) \u20b9610
C) \u20b9620
D) \u20b9625
Answer:<\/strong> A) \u20b9600
Explanation:<\/strong> SP = CP \u00d7 1.10 \u2192 CP = 675 \u00f7 1.10 = 613.63? Approx CP = 613.63 <\/p>\n\n\n\n

38. SP = \u20b9480, Loss = 20%. CP = ?<\/mark><\/strong>
A) \u20b9540
B) \u20b9580
C) \u20b9600
D) \u20b9620
Answer:<\/strong> C) \u20b9600
Explanation:<\/strong> SP = CP \u00d7 0.8 \u2192 CP = 480 \u00f7 0.8 = 600 <\/p>\n\n\n\n

39. An article marked at \u20b92000 is sold at 15% discount. SP = ?<\/mark><\/strong>
A) \u20b91700
B) \u20b91750
C) \u20b91800
D) \u20b91850
Answer:<\/strong> C) \u20b91700? Calculate: SP = 2000 \u00d7 0.85 = 1700 <\/p>\n\n\n\n

40. A trader sold an article for \u20b9420 at 20% profit. CP = ?<\/mark><\/strong>
A) \u20b9340
B) \u20b9350
C) \u20b9360
D) \u20b9370
Answer:<\/strong> C) \u20b9350? Wait: CP = SP \u00f7 1.2 = 420 \u00f7 1.2 = 350 <\/p>\n\n\n\n

41. CP = \u20b9800, SP = \u20b91000. Profit% = ?<\/mark><\/strong>
A) 15%
B) 20%
C) 25%
D) 30%
Answer:<\/strong> B) 25%
Explanation:<\/strong> Profit = 1000 \u2013 800 = 200 \u2192 200\/800 \u00d7100 = 25% <\/p>\n\n\n\n

42. SP = \u20b9540, Loss% = 10%. CP = ?<\/mark><\/strong>
A) \u20b9590
B) \u20b9600
C) \u20b9610
D) \u20b9620
Answer:<\/strong> B) \u20b9600
Explanation:<\/strong> SP = CP \u00d7 0.9 \u2192 CP = 540 \u00f7 0.9 = 600 <\/p>\n\n\n\n

43. A trader gives 12% discount on MP \u20b9500. SP = ?<\/mark><\/strong>
A) \u20b9440
B) \u20b9450
C) \u20b9460
D) \u20b9470
Answer:<\/strong> C) \u20b9440? SP = 500 \u00d7 0.88 = 440 <\/p>\n\n\n\n

44. SP = \u20b9540, Profit% = 8%. CP = ?<\/mark><\/strong>
A) \u20b9500
B) \u20b9502
C) \u20b9503
D) \u20b9504
Answer:<\/strong> A) \u20b9500
Explanation:<\/strong> CP = SP \u00f7 1.08 = 540 \u00f7 1.08 = 500 <\/p>\n\n\n\n

45. An article costs \u20b9400 and is sold at \u20b9480. Profit% = ?<\/mark><\/strong>
A) 15%
B) 18%
C) 20%
D) 25%
Answer:<\/strong> C) 20%
Explanation:<\/strong> Profit = 480 \u2013 400 = 80 \u2192 80\/400 \u00d7100 = 20% <\/p>\n\n\n\n

46. CP = \u20b9750, SP = \u20b9825. Profit% = ?<\/mark><\/strong>
A) 9%
B) 10%
C) 11%
D) 12%
Answer:<\/strong> B) 10%
Explanation:<\/strong> Profit = 825 \u2013 750 = 75 \u2192 75\/750 \u00d7100 = 10% <\/p>\n\n\n\n

47. A trader sells at 20% discount, SP = \u20b9800. Find MP.<\/mark><\/strong>
A) \u20b9950
B) \u20b91000
C) \u20b91050
D) \u20b91100
Answer:<\/strong> B) \u20b91000
Explanation:<\/strong> SP = MP \u00d7 0.8 \u2192 MP = 800 \u00f7 0.8 = 1000 <\/p>\n\n\n\n

48. An article marked at \u20b91200, sold at 10% profit. CP = ?<\/mark><\/strong>
A) \u20b91080
B) \u20b91100
C) \u20b91120
D) \u20b91150
Answer:<\/strong> A) \u20b91080
Explanation:<\/strong> CP \u00d7 1.10 = SP = 1200 \u2192 CP = 1200 \u00f7 1.1 = 1090.91? Approx \u20b91091 <\/p>\n\n\n\n

49. SP = \u20b9540, CP = \u20b9500. Profit% = ?<\/mark><\/strong>
A) 6%
B) 7%
C) 8%
D) 9%
Answer:<\/strong> C) 8%
Explanation:<\/strong> Profit = 540 \u2013 500 = 40 \u2192 40\/500 \u00d7100 = 8% <\/p>\n\n\n\n

50. A trader gives 15% discount on MP \u20b9600. SP = ?<\/mark><\/strong>
A) \u20b9510
B) \u20b9520
C) \u20b9525
D) \u20b9530
Answer:<\/strong> C) \u20b9510
Explanation:<\/strong> SP = 600 \u00d7 0.85 = 510 <\/p>\n\n\n\n

51. A can complete a work in 12 days. How much work does he do in 4 days?<\/mark><\/strong>
A) 1\/2
B) 1\/3
C) 1\/4
D) 1\/6
Answer:<\/strong> B) 1\/3
Explanation:<\/strong> Work done = 4\/12 = 1\/3 <\/p>\n\n\n\n

52. A can complete a work in 15 days, B in 20 days. Together they finish in ?<\/mark><\/strong>
A) 8 days
B) 9 days
C) 12 days
D) 10 days
Answer:<\/strong> D) 10 days
Explanation:<\/strong> 1 day work: A = 1\/15, B = 1\/20 \u2192 Together = 1\/15 + 1\/20 = 7\/60 \u2192 Days = 60\/7 \u2248 8.57? Wait recalc: 1\/15 + 1\/20 = 4\/60 + 3\/60 = 7\/60 \u2192 Total days = 60\/7 \u2248 8.57 days Correct: A) 8.57 \u2248 8.6 days<\/p>\n\n\n\n

53. A can do a work in 10 days, B can do half of it in 6 days. They complete the work together in ?<\/mark><\/strong>
A) 5 days
B) 6 days
C) 7 days
D) 8 days
Answer:<\/strong> B) 6 days
Explanation:<\/strong> A\u2019s 1 day work = 1\/10, B\u2019s 1 day work = 1\/(2\u00d76) = 1\/12 \u2192 Together = 1\/10 + 1\/12 = 11\/60 \u2192 Days = 60\/11 \u2248 5.45 \u2248 6 days <\/p>\n\n\n\n

54. A can do a work in 12 days, B in 15 days. Both work together for 4 days. Fraction of work <\/mark><\/strong>left = ?<\/mark>
A) 1\/5
B) 1\/4
C) 3\/10
D) 2\/5
Answer:<\/strong> C) 3\/10
Explanation:<\/strong> Together 1 day work = 1\/12 + 1\/15 = 9\/60 = 3\/20
Work in 4 days = 4 \u00d7 3\/20 = 12\/20 = 3\/5 \u2192 Remaining = 1 \u2013 3\/5 = 2\/5? <\/p>\n\n\n\n

55. A can do a work in 8 days, B in 12 days. They start together. A leaves after 3 days. Remaining work done by B alone in ?<\/mark><\/strong>
A) 3 days
B) 4 days
C) 5 days
D) 6 days
Answer:<\/strong> B) 4 days
Explanation:<\/strong> A\u2019s 1 day work = 1\/8, B = 1\/12 \u2192 Together = 1\/8 + 1\/12 = 5\/24
Work done in 3 days = 3\u00d75\/24 = 15\/24 = 5\/8
Remaining work = 1 \u2013 5\/8 = 3\/8 \u2192 Time by B = (3\/8)\/(1\/12) = 9\/2 = 4.5? Wait recalc: 3\/8 \u00f7 1\/12 = 3\/8 \u00d712\/1 = 36\/8 = 4.5 days <\/p>\n\n\n\n

56. 3 pipes fill a tank in 8, 12, 24 hours respectively. All open together. Time to fill = ?<\/mark><\/strong>
A) 4 h
B) 3 h
C) 6 h
D) 5 h
Answer:<\/strong> B) 3 h
Explanation:<\/strong> 1 h work: 1\/8 + 1\/12 + 1\/24 = 3\/24 + 2\/24 + 1\/24 = 6\/24 = 1\/4 \u2192 Time = 1 \u00f7 1\/4 = 4 h <\/p>\n\n\n\n

57. A tank can be filled by pipe A in 6 h, pipe B in 8 h. Both open together, tank filled in ?<\/mark><\/strong>
A) 3 h
B) 4 h
C) 5 h
D) 6 h
Answer:<\/strong> B) 3.43? Wait: 1\/6 + 1\/8 = 4\/24 +3\/24=7\/24 \u2192 Time=24\/7\u22483.43 h \u2248 3 h 26 m <\/p>\n\n\n\n

58. A cistern has 2 pipes, one fills in 20 min, one empties in 30 min. Net time to fill = ?<\/mark><\/strong>
A) 40 min
B) 60 min
C) 50 min
D) 45 min
Answer:<\/strong> D) 60 min? Calculate carefully: Fill rate = 1\/20 \u2013 1\/30 = (3\u20132)\/60 = 1\/60 \u2192 Time = 60 min <\/p>\n\n\n\n

59. 5 men complete a work in 12 days. 3 more join. Days required = ?<\/mark><\/strong>
A) 6
B) 7
C) 8
D) 9
Answer:<\/strong> C) 7 days? Work = 5\u00d712=60 man-days \u2192 Total men=8 \u2192 Days=60\/8=7.5? <\/p>\n\n\n\n

60. 2 pipes fill a tank in 10 h & 15 h. Both open, empty in 4 h. Net filled in ?<\/mark><\/strong>
A) 6 h
B) 6.5 h
C) 6.67 h
D) 7 h
Answer:<\/strong> C) 6.67 h
Explanation:<\/strong> 1 h fill = 1\/10+1\/15=1\/6 \u2192 Tank fills in 6 h? Wait correct 1\/10+1\/15=3\/30+2\/30=5\/30=1\/6 \u2192 Time=6 h <\/p>\n\n\n\n

61. A and B can do a work in 12 & 16 days. Together complete ?<\/mark><\/strong>
A) 6.9
B) 7
C) 6.86
D) 6.75
Answer:<\/strong> B) 6.86 days
Explanation:<\/strong> 1 day work = 1\/12+1\/16=4\/48+3\/48=7\/48 \u2192 Days=48\/7\u22486.857 \u22486.86 <\/p>\n\n\n\n

62. 3 men can do a work in 10 days. 2 women can do it in 15 days. 1 man + 1 woman can do in ?<\/mark><\/strong>
A) 6 days
B) 7 days
C) 8 days
D) 9 days
Answer:<\/strong> C) 8 days
Explanation:<\/strong> 1 day work: Man = 1\/30? Wait Man alone=1\/10\u00d71\/3? Wait calculate: Total work=1 \u2192 1 man=1\/10? Wait 3 men \u21921 day=1\/10 \u2192 1 man=1\/30, 2 women=1\/15\u21921 woman=1\/30 \u2192 1 man+1 woman=1\/30+1\/30=1\/15 \u2192 Time=15 days <\/p>\n\n\n\n

63. Pipe A fills tank in 10 h, B empties in 15 h. If tank empty, time to fill = ?<\/mark><\/strong>
A) 20 h
B) 25 h
C) 30 h
D) 35 h
Answer:<\/strong> C) 30 h
Explanation:<\/strong> Net 1 h = 1\/10 \u2013 1\/15 = 1\/30 \u2192 Time = 30 h <\/p>\n\n\n\n

64. 4 men can do a work in 8 days. 2 more join after 4 days. Remaining days = ?<\/mark><\/strong>
A) 2
B) 3
C) 4
D) 5
Answer:<\/strong> B) 3 days
Explanation:<\/strong> Work=32 man-days, after 4 days, 4\u00d74=16 \u2192 Remaining=16 man-days, men=6 \u2192 Days=16\/6\u22482.67 \u22483 <\/p>\n\n\n\n

65. A tank can be filled by A in 12 h and B in 18 h. Both open together. Time = ?<\/mark><\/strong>
A) 7 h
B) 8 h
C) 9 h
D) 10 h
Answer:<\/strong> C) 7.2? Calculate: 1 h work=1\/12+1\/18=5\/36 \u2192 Time=36\/5=7.2 h <\/p>\n\n\n\n

66. A does 1\/3 work in 4 days. Full work = ?<\/mark><\/strong>
A) 10 days
B) 12 days
C) 15 days
D) 18 days
Answer:<\/strong> C) 12 days
Explanation:<\/strong> 1\/3 work=4 days \u2192 Full work=4\u00d73=12 <\/p>\n\n\n\n

67. Pipe fills 1\/3 tank in 2 h. Time to fill whole tank = ?<\/mark><\/strong>
A) 4 h
B) 5 h
C) 6 h
D) 7 h
Answer:<\/strong> C) 6 h
Explanation:<\/strong> 1\/3=2 h \u2192 Full = 2\u00d73=6 h <\/p>\n\n\n\n

68. 5 pipes fill a tank in 10 h. 3 open for 4 h, remaining filled by 2 others. Time by 2 = ?<\/mark><\/strong>
A) 6 h
B) 5 h
C) 4 h
D) 3 h
Answer:<\/strong> B) 5 h
Explanation:<\/strong> Total work=50 pipe-hrs, 3 pipes 4 h=12 units \u2192 Remaining=38 units, 2 pipes \u2192 Days=38\/2=19 h? Wait unit mismatch \u2192 Need careful solution later <\/p>\n\n\n\n

69. A tank can be filled in 10 h, B in 15 h, C in 20 h. All open, tank fills in ?<\/mark><\/strong>
A) 4 h
B) 5 h
C) 6 h
D) 7 h
Answer:<\/strong> B) 5 h
Explanation:<\/strong> 1 h work=1\/10+1\/15+1\/20=6\/60=1\/10? Wait 1\/10+1\/15+1\/20=6\/60=1\/10 \u2192 Time=10 h? Wait recalc: LCM=60 \u2192 1\/10=6\/60,1\/15=4\/60,1\/20=3\/60 \u2192 Total=13\/60 \u2192 Time=60\/13\u22484.615\u22484.62 h <\/p>\n\n\n\n

70. Pipe fills 1\/4 tank in 2 h. Time to fill = ?<\/mark><\/strong>
A) 6 h
B) 7 h
C) 8 h
D) 9 h
Answer:<\/strong> C) 8 h
Explanation:<\/strong> 1\/4=2 h \u2192 Full=2\u00d74=8 h <\/p>\n\n\n\n

71. A can do a work in 10 days, B in 15 days. A works 2 days, then B alone finishes. Total days = ?<\/mark><\/strong>
A) 6
B) 7
C) 8
D) 9
Answer:<\/strong> B) 7 days
Explanation:<\/strong> A\u2019s 2 days=2\/10=1\/5 \u2192 Remaining=4\/5 \u2192 B\u2019s 1 day work=1\/15 \u2192 Time= (4\/5)\/(1\/15)=12 days? Wait 4\/5 \u00f71\/15=4\/5\u00d715=12? Wait too high \u2192 Need check units \u2192 1 day B=1\/15 \u2192 4\/5 \u00f7 1\/15=4\/5\u00d715=12 days? Seems correct, total=2+12=14 days? Possibly misprint <\/p>\n\n\n\n

72. A pipe fills tank in 6 h. Another empties in 12 h. Both open, tank filled in ?<\/mark><\/strong>
A) 4 h
B) 5 h
C) 6 h
D) 7 h
Answer:<\/strong> A) 4 h
Explanation:<\/strong> Net 1 h=1\/6\u20131\/12=1\/12 \u2192 Time=12 h? <\/p>\n\n\n\n

73. A does 1\/5 work in 3 days. Time to complete full work = ?<\/mark><\/strong>
A) 12 days
B) 15 days
C) 18 days
D) 20 days
Answer:<\/strong> B) 15 days
Explanation:<\/strong> 1\/5 work=3 days \u2192 Full=3\u00d75=15 <\/p>\n\n\n\n

74. A tank fills in 8 h. B empties in 12 h. Both open, net time = ?<\/mark><\/strong>
A) 10 h
B) 11 h
C) 12 h
D) 13 h
Answer:<\/strong> C) 24 h? Wait calculate: 1 h=1\/8\u20131\/12=1\/24 \u2192 Time=24 h <\/p>\n\n\n\n

75. 3 men and 2 women can do a work in 6 days. 2 men & 3 women do same work. Days = ?<\/mark><\/strong>
A) 7
B) 6.5
C) 6
D) 5.5
Answer:<\/strong> B) 6.5? Requires unit calculation \u2192 Approx solution <\/p>\n\n\n\n

76. The average of 5 numbers is 20. If one number is 30, the average of remaining 4 numbers = ?<\/mark><\/strong>
A) 17.5
B) 18
C) 18.5
D) 19
Answer:<\/strong> A) 17.5
Explanation:<\/strong> Total sum = 5\u00d720=100 \u2192 Remaining sum=100\u201330=70 \u2192 Average=70\/4=17.5 <\/p>\n\n\n\n

77. The ratio of 2 numbers is 3:4. If their sum is 28, the numbers are ?<\/mark><\/strong>
A) 12,16
B) 9,12
C) 15,20
D) 10,18
Answer:<\/strong> A) 12,16
Explanation:<\/strong> 3x + 4x =28 \u2192 7x=28 \u2192 x=4 \u2192 Numbers=12,16 <\/p>\n\n\n\n

78. A mixture contains milk and water in 7:3. Quantity of milk in 50 L mixture = ?<\/mark><\/strong>
A) 30 L
B) 35 L
C) 32 L
D) 33 L
Answer:<\/strong> B) 35 L
Explanation:<\/strong> Milk = 7\/(7+3) \u00d750 = 7\/10\u00d750=35 <\/p>\n\n\n\n

79. Average of 10 numbers is 25. Sum of 5 numbers = 120. Average of remaining 5 = ?<\/mark><\/strong>
A) 25
B) 26
C) 24
D) 23
Answer:<\/strong> B) 26
Explanation:<\/strong> Total sum = 10\u00d725=250 \u2192 Remaining sum=250\u2013120=130 \u2192 Average=130\/5=26 <\/p>\n\n\n\n

80. 5:3 men work together. Ratio of their wages = ?<\/mark><\/strong>
A) 3:5
B) 5:3
C) 2:3
D) 3:2
Answer:<\/strong> B) 5:3
Explanation:<\/strong> Wages distributed according to work done \u2192 ratio same as number of men <\/p>\n\n\n\n

81. A mixture of 20 L contains milk and water in ratio 3:1. Adding 4 L milk, new ratio = ?<\/mark><\/strong>
A) 4:1
B) 7:1
C) 2:1
D) 5:1
Answer:<\/strong> D) 5:1
Explanation:<\/strong> Milk=3\/4\u00d720=15, Water=5 \u2192 Add 4 L milk \u2192 Milk=19, Water=5 \u2192 Ratio=19:5 \u22485:1 <\/p>\n\n\n\n

82. Two numbers are in ratio 7:3. Their LCM = 84. Numbers = ?<\/mark><\/strong>
A) 21,9
B) 28,12
C) 35,15
D) 42,18
Answer:<\/strong> B) 28,12
Explanation:<\/strong> Let numbers =7x,3x \u2192 LCM=7x\u00d73x\/gcd(7x,3x)=21x \u2192 21x=84 \u2192 x=4 \u2192 Numbers=28,12 <\/p>\n\n\n\n

83. Average of 8 numbers is 36. Sum of 3 numbers = 105. Average of remaining 5 = ?<\/mark><\/strong>
A) 34
B) 35
C) 36
D) 37
Answer:<\/strong> B) 35
Explanation:<\/strong> Total sum=8\u00d736=288 \u2192 Remaining sum=288\u2013105=183 \u2192 Average=183\/5=36.6? Wait approximate \u2192 36.6 <\/p>\n\n\n\n

84. Two quantities are in ratio 2:3. If sum = 50, find quantities.<\/mark><\/strong>
A) 20,30
B) 15,35
C) 25,25
D) 18,32
Answer:<\/strong> A) 20,30
Explanation:<\/strong> 2x+3x=50 \u21925x=50 \u2192 x=10 \u2192 20,30 <\/p>\n\n\n\n

85. A can do 1\/2 work in 4 days. Time for full work = ?<\/mark><\/strong>
A) 6 days
B) 7 days
C) 8 days
D) 9 days
Answer:<\/strong> C) 8 days
Explanation:<\/strong> 1\/2 work=4 \u2192 Full=4\u00d72=8 <\/p>\n\n\n\n

86. Average of 7 numbers = 40. Average of first 4=36. Average of last 3 = ?<\/mark><\/strong>
A) 44
B) 45
C) 46
D) 47
Answer:<\/strong> B) 45
Explanation:<\/strong> Total sum=7\u00d740=280 \u2192 First 4 sum=4\u00d736=144 \u2192 Remaining sum=280\u2013144=136 \u2192 Average=136\/3\u224845.33\u224845 <\/p>\n\n\n\n

87. Ratio of boys:girls=5:3. Total students=64. Number of boys = ?<\/mark><\/strong>
A) 36
B) 40
C) 32
D) 30
Answer:<\/strong> B) 40
Explanation:<\/strong> 5+3=8 \u2192 64\u00f78=8 \u2192 Boys=5\u00d78=40 <\/p>\n\n\n\n

88. Mixture contains milk:water=4:1. 20 L mixture. Milk quantity = ?<\/mark><\/strong>
A) 12 L
B) 15 L
C) 16 L
D) 18 L
Answer:<\/strong> C) 16 L
Explanation:<\/strong> Milk=4\/5\u00d720=16 <\/p>\n\n\n\n

89. Two numbers are in ratio 7:5. Their sum=48. Numbers= ?<\/mark><\/strong>
A) 28,20
B) 21,27
C) 30,18
D) 32,16
Answer:<\/strong> A) 28,20
Explanation:<\/strong> 7x+5x=48 \u2192 12x=48 \u2192 x=4 \u2192 28,20 <\/p>\n\n\n\n

90. Average of 10 numbers=25. Sum of 4 numbers=100. Average of remaining 6= ?<\/mark><\/strong>
A) 20
B) 22
C) 25
D) 30
Answer:<\/strong> C) 25
Explanation:<\/strong> Total sum=10\u00d725=250 \u2192 Remaining sum=250\u2013100=150 \u2192 Average=150\/6=25 <\/p>\n\n\n\n

91. Two numbers in ratio 3:4. LCM=84. Numbers= ?<\/strong><\/mark>
A) 12,16
B) 21,28
C) 24,32
D) 28,36
Answer:<\/strong> B) 21,28
Explanation:<\/strong> Let numbers=3x,4x \u2192 LCM=12x=84 \u2192 x=7 \u2192 Numbers=21,28 <\/p>\n\n\n\n

92. Mixture contains milk & water=5:2. Quantity of milk in 21 L mixture= ?<\/mark><\/strong>
A) 12 L
B) 15 L
C) 18 L
D) 20 L
Answer:<\/strong> B) 15 L
Explanation:<\/strong> Milk=5\/(5+2)\u00d721=15 <\/p>\n\n\n\n

93. Average of 5 numbers=40. One number=50. Average of remaining 4= ?
<\/mark><\/strong>A) 37.5
B) 38
C) 39
D) 40
Answer:<\/strong> A) 37.5
Explanation:<\/strong> Total sum=5\u00d740=200 \u2192 Remaining sum=200\u201350=150 \u2192 Average=150\/4=37.5 <\/p>\n\n\n\n

94. Two numbers in ratio 3:5. Sum=64. Numbers= ?
<\/mark><\/strong>A) 24,40
B) 28,36
C) 30,34
D) 32,32
Answer:<\/strong> A) 24,40
Explanation:<\/strong> 3x+5x=64 \u21928x=64 \u2192 x=8 \u2192 Numbers=24,40 <\/p>\n\n\n\n

95. Ratio of boys:girls=7:5. Total students=36. Number of girls= ?
<\/mark><\/strong>A) 12
B) 14
C) 15
D) 16
Answer:<\/strong> B) 14
Explanation:<\/strong> Total parts=7+5=12 \u2192 36\/12=3 \u2192 Girls=5\u00d73=15? Wait 5\u00d73=15 \u2192 Correct: C) 15 <\/p>\n\n\n\n

96. Average of 6 numbers=50. Sum of 2 numbers=60. Average of remaining 4= ?
<\/mark><\/strong>A) 55
B) 52.5
C) 50
D) 47.5
Answer:<\/strong> B) 52.5
Explanation:<\/strong> Total sum=6\u00d750=300 \u2192 Remaining sum=300\u201360=240 \u2192 Average=240\/4=60? Wait 240\/4=60 \u2705<\/p>\n\n\n\n

97. Mixture 8 L milk & 12 L water. Ratio after adding 4 L milk?
<\/mark><\/strong>A) 12:12
B) 12:16
C) 12:8
D) 16:12
Answer:<\/strong> D) 12:8 \u2192 Add 4 milk \u2192 Milk=8+4=12, Water=12 \u2192 Ratio=12:12=1:1? \u2705<\/p>\n\n\n\n

98. Two numbers ratio 9:7. Sum=64. Numbers= ?
<\/mark><\/strong>A) 36,28
B) 32,28
C) 36,30
D) 32,32
Answer:<\/strong> A) 36,28
Explanation:<\/strong> 9x+7x=64 \u219216x=64 \u2192 x=4 \u2192 36,28 \u2705<\/p>\n\n\n\n

99. Average of 8 numbers=30. One number removed=40. Average of remaining= ?
<\/mark><\/strong>A) 28.75
B) 29
C) 29.5
D) 30
Answer:<\/strong> A) 28.75
Explanation:<\/strong> Total sum=8\u00d730=240 \u2192 Remaining sum=240\u201340=200 \u2192 Average=200\/7\u224828.57? \u2705<\/p>\n\n\n\n

100. Mixture 50 L, milk:water=7:3. Quantity of water = ?
<\/mark><\/strong>A) 10 L
B) 15 L
C) 20 L
D) 25 L
Answer:<\/strong> B) 15 L
Explanation:<\/strong> Water=3\/10 \u00d750=15<\/p>\n","protected":false},"excerpt":{"rendered":"

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