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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-3

H.C.F. & L.C.M. of Numbers Worksheet-3

H.C.F. & L.C.M. of Numbers Worksheet-3

 

  1. The H.C.F. of two numbers is 12 and their difference is 12. The numbers are :

(a) 66, 78           (b) 70, 82          (c) 94, 106         (d) 84, 96

 

  1. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is :

(a) 101                (b) 107                (c) 111                 (d) 185

 

  1. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :

(a) 1                     (b) 2                    (c) 3                    (d) 4

 

  1. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

(a) 75                  (b) 81                  (c) 85                  (d) 89

 

  1. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is :

(a) 28                 (b) 32                 (c) 40                  (d) 64

 

  1. Three numbers are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400, Their H.C.F. is:

(a) 40                 (b) 80                 (c) 120                (d) 200

 

  1. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is :

(a) 279               (b) 233               (c) 308               (d) 318

 

  1. The sum of two numbers is 2000 and their L.C.M. is 21879. The two numbers are :

(a) 1993, 7         (b) 1991, 9         (c) 1989, 11        (d) 1987, 13

 

  1. The H.C.F. and L.C.M. of two numbers are 21 and 84  respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is :

(a) 12                  (b) 48                 (c) 84                  (d) 108

 

  1. The L.C.M. of two numbers is 495 and their H.C.F. is 5. If the sum of the numbers is 10, then their difference is :

(a) 10                  (b) 46                 (c) 70                  (d) 90

 

  1. The product of the L.C.M. and H.C.F. of two numbers is 24. The difference of two numbers is 2. Find the numbers.

(a) 2 and 4         (b) 6 and 4        (c) 8 and 6         (d) 8 and 10

 

  1. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to :

(a)               (b)               (c)               (d)

 

  1. The L.C.M. of two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is :

(a) 215                (b) 220               (c) 225                (d) 235

 

  1. The H.C.F, and L.C.M. of two numbers are 50 and 250 respectively. If the first number is divided by 2. the quotient is 50. The second number is :

(a) 50                  (b) 100               (c) 125                (d) 250

 

  1. The product of two numbers is 1320 and their H.C.F. is 6. The L.C.M. of the numbers is :

(a) 220               (b) 1314              (c) 1326              (d) 7920

 

Answer Key:

(1)-d; (2)-c; (3)-b; (4)-c; (5)-c; (6)-a; (7)-c; (8)-c; (9)-c; (10)-a; (11)-b; (12)-c; (13)-c; (14)-c; (15)-a