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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › H.C.F. & L.C.M. of Numbers › H.C.F. & L.C.M. of Numbers Worksheet-6

H.C.F. & L.C.M. of Numbers Worksheet-6

H.C.F. & L.C.M. of Numbers Worksheet-6

 

  1. The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54, is :

(a) 427               (b) 859               (c) 869               (d) 4320

 

  1. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8, is:

(a) 504               (b) 536               (c) 544                (d) 548

 

  1. The largest four-digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is:

(a) 8739             (b) 9831             (c) 9834             (d) 9893

 

  1. Let the least number of six digits, which when divided by 4, 6, 10 and 15, leaves in each case the same remainder of 2, be N. The sum of the digits in N is:

(a) 3                    (b) 4                    (c) 5                    (d) 6

 

  1. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

(a) 74                  (b) 94                 (c) 184                (d) 364

 

  1. The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is:

(a) 11115             (b) 15110            (c) 15120            (d) 15210

 

  1. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively.

(a) 3002            (b) 3013             (c) 3024             (d) 3036

 

  1. The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

(a) 1677              (b) 1683             (c) 2523             (d) 3363

 

  1. Find the least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

(a) 17004           (b) 18000          (c) 18002           (d) 18004

 

  1. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

(a) 4                    (b) 10                  (c) 15                   (d) 16

 

  1. Four different electronic devices make a beep after every 30 minutes, 1 hour,  hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at :

(a) 12 midnight                             (b) 3 a.m.

(c) 6 a.m.                                        (d) 9 a.m.

 

  1. A, B and C start 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) 26 minutes 18 seconds         (b) 42 minutes 36 seconds

(c) 45 minutes                               (d) 46 minutes 12 seconds

 

  1. The L.C.M. of 148 and 185 is :

(a) 680               (b) 740               (c) 2960             (d) 3700

 

Answer Key:

(1)-b; (2)-d; (3)-b; (4)-c; (5)-d; (6)-b; (7)-b; (8)-b; (9)-d; (10)-d; (11)-d; (12)-d; (13)-b