model 3 find hcf of numbers Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11 [SSC CPO S.I.2006]

Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

a) 60

b) 30

c) 18

d) 45

Question : 12 [SSC CGL 2017]

Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be

a) 0.41 metre

b) 0.4 metre

c) 0.13 metre

d) 0.3 metre

Question : 13 [SSC DEO 2011]

A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively

a) 46 and 75

b) 9 and 380

c) 15 and 228

d) 45 and 76

Question : 14 [SSC CGL Prelim 2007]

The largest number, which divides 25, 73 and 97 to leave the same remainder in each case, is

a) 6

b) 23

c) 24

d) 21

Question : 15

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.

a) 35

b) 15

c) 5

d) 25