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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-4

H.C.F. & L.C.M. of Numbers Worksheet-4

H.C.F. & L.C.M. of Numbers Worksheet-4

 

  1. Product of two co-prime numbers is 117. Their L.C.M. should be :

(a) 1                                                 (b) 117

(c) equal to their H.C.F.             (d) cannot be calculated

 

  1. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F. ?

(a) 8                    (b) 12                  (c) 24                  (d) 35

 

  1. The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M. ?

(a) 24                  (b) 48                 (c) 56                  (d) 60

 

  1. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is :

(a) 276               (b) 299               (c) 322               (d) 345

 

  1. About the number of pairs which have 16 as their H.C.F. and 136 as their L.C.M. we can definitely say that :

(a) no such pair exists                 (b) only one such pair exists

(c) only two such pairs exist      (d) many such pairs exist

 

  1. The H.C.F. and L.C.M. of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is :

(a) 77                  (b) 88                 (c) 99                  (d) 110

 

  1. Two numbers, both greater than 29, have H.C.F. 29 and L.C.M. 4147. The sum of the numbers is:

(a) 666               (b) 669               (c) 696               (d) 966

 

  1. L.C.M. of two prime numbers x and y (x > y) is 161. The value of 3y – x is :

(a) –2                 (b) –1                  (c) 1                     (d) 2

 

  1. The greatest number that exactly divides 105, 1001 and 2436 is:

(a) 3                    (b) 7                    (c) 11                   (d) 21

 

  1. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

(a) 15 cm            (b) 25 cm           (c) 35 cm           (d) 42 cm

 

  1. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly?

(a) 1 litre            (b) 7 litres          (c) 31 litres        (d) 41 litres

 

  1. The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

(a) 91                  (b) 910               (c) 1001              (d) 1911

 

  1. A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?

(a) 14 cms         (b) 21 cms          (c) 42 cms          (d) None of these

 

  1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

(a) 4                    (b) 7                    (c) 9                    (d) 13

 

  1. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

(a) 4                    (b) 5                    (c) 6                    (d) 8

 

Answer Key:

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