model 4 addition, subtraction, multiplication and division with lcm & hcf Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC CGL Prelim 2005]

The sum of the H.C.F. and L.C.M of two numbers is 680 and the L.C.M. is 84 times the H.C.F. If one of the number is 56, the other is :

a) 84

b) 8

c) 12

d) 96

Question : 2 [SSC CHSL 2015]

The smallest five digit number which is divisible by 12,18 and 21 is :

a) 10224

b) 10080

c) 30256

d) 50321

Question : 3 [SSC FCI 2013]

If A and B are the H.C.F. and L.C.M. respectively of two algebraic expressions x and y, and A + B = x + y, then the value of A³ + B³ is

a) x³ – y³

b) y³

c) x³

d) x³ + y³

Question : 4

A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is

a) 1451

b) 1712

c) 1641

d) 1523

Question : 5 [SSC CGL 2011]

The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is

a) 2

b) 4

c) 3

d) 5