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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 :









2)

The H.C.F. of 204, 1190 and 1445 is :









3)

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









4)

Four different electronic devices make a beep after every 30 minutes, 1 hour, 1.5 hour
and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at :









5)

Three numbers are in the ratio 1:2:3 and their H.C.F. is 12. 1 he numbers are :









6)

252 can be expressed as a product of primes as ;









7)

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 a 1073. The sum of the three numbers is :









8)

The H.C.F. of 3666 and 3444 is :









9)

Find the least number which when divided by 16, 18; 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.









10)

The sum of two numbers is 528 and their H .C.F. is 33. The number of pairs of numbers satisfying the above conditions is :









11)

Let the least number of six digits, which when divided by 4, 6, 10 and 15 leaves in each case the same remainder of 2, be N. The sum of the digits in N is :









12)

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 ?









13)

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









14)

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 :









15)

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 :