ABC26GN3544 · Time and Work

Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:

A, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together, they will complete the same work in [SSC-CHSL (10+2) Exam, 2015]

(a)$\frac{7}{24}$ days 21

(b)$\$$3 \frac{3}{7}$\$$ days 28 $\$$

(c)4 days 16

(d)$3 \frac{1}{13}$ days [IBPS-RRB Office Assistant (Online) Exam, 2015] 14 ANSWERS 1. 2. 3. 4. 5. 6. 7. 8. 9.

(e)10. 11. 12. 13. 14. 15. 16. 17. 18. 19. $\$$ 20. 21. 22. 23. 24. 25. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 106. 107. 108. 109. 110. 111. 112. 113. 114. 115. 126. 127. 128. 129. 130. SOLUTIONS

Answer

Answer (as printed): D

Explanation

A’s 1 days work = 24 1 B’s 1 days work = 5 1 C’s 1 days work = 12 ∴ (A + B + C)’s 1 days work 1 1 1 = + + 24 5 12 LCM of 24, 5 and 12 2 24 – 5 – 12 2 12 – 5 – 6 3 6–5–3 2 – 5 – 1 2 × 2 × 3 × 2 × 5 = 120 5 + 24 + 10 = 120 39 13 = = 120 40 Time taken by A, B and C to complete the work, working together 40 1 = =3 days 13 13 1

Explanation as extracted from the printed page; notation may be imperfect.

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