QUANTITATIVE APTITUDE - HCF & LCM

 HCF & LCM

1.    A rectangular courtyard 3.78 meters long 5.25 meters 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

2.    The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is:
A) 123          B) 127              C) 235              D) 305

3.    The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
A) 4          B) 6              C) 8              D) 12

4.    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 a

5.    The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is
A) 10          B) 46              C) 70              D) 90 

6.    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

7.    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

8.    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  

9.    The G.C.D of 1.08, 0.36 and 0.9 is
A) 0.03          B) 0.9              C) 0.18          D) 0.108

10.    Three number 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