﻿ H.C.F and L.C.M - Solved Maths Questions # H.C.F and L.C.M

Q21. The largest number that divides 210, 315 and 168 exactly is
(a) 13
(b) 16
(c) 21
(d) 27

Q22. A bell rings every 5 minutes. A second bell rings every 6 minutes and if two bells ring at 8 o'clock in the morning, then the next time they will ring together at
(a) 8.10 o'clock
(b) 8.15 o'clock
(c) 8.20 o'clock
(d) 8.30 o'clock

Q23. Three different containers contain different quantities of mixtures of milk and water, whose measurements are 403 Kg, 434 Kg and 465 Kg. What biggest measure must be there to measure all the difefrent quantities exactly ?
(a) 26 Kg
(b) 31 Kg
(c) 35 Kg
(d) 37 Kg

Q24. A, B and C starts at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point ?
(a) 38 min 18 sec
(b) 46 min 12 sec
(c) 49 min 30 sec
(d) 52 min 22 sec

Q25. Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack in the same. Total number of stacks will be
(a) 14
(b) 17
(c) 21
(d) 25

Q26. What is the least number which when diminished by 4 is divisible by each one of 20, 30, 36 ?
(a) 499
(b) 507
(c) 521
(d) 544

Q27. The H.C.F and L.C.M of two numbers are 21 and 4641 respectively. If one of the number lies between 200 and 300, then the two numbers are
(a) 251, 178
(b) 273, 357
(c) 323, 389
(d) 339, 421

Q28. Two 3 digit numbers have their H.C.F 29 and L.C.M 4147. The sum of the numbers is
(a) 635
(b) 696
(c) 733
(d) 749

Q29. The L.C.M of two numbers is 12 times their H.C.F. The sum of the H.C.F and L.C.M is 403. If one number is 93, then the other is
(a) 124
(b) 139
(c) 156
(d) 177

Q30. The capacity of two pots is 120 liters and 56 liters respectively. The capacity of a container which can exactly measure the context of the two pots is
(a) 5000 cc
(b) 6000 cc
(c) 6500 cc
(d) 8000 cc

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