CHAPTER-9 RATIONAL NUMBERS (SET-2)

Questions in this test

1. Find the largest number which divides 55, 127 and 175 so as to leave the same remainder in each case.
2. Find the smallest no of six digits that is exactly divisible by 40, 35, 85, 119 and 136.
3. HCF and LCM of two numbers are 7 & 140 respectively. If the numbers are between 20 and 45, then what is the sum of numbers?
4. The greatest number which divides 261, 933 and 1381 leaving remainders 5 in each case is
5. The largest no of five digits which when divided by 16, 24, 30 or 36 leaves the same remainder 10 in each case is
6. The least no of which when increased by 4 is divisible by each of the numbers 10, 15, 20 and 25 is
7. The sum of two 2- digit numbers is 132. If their HCF is 11, the numbers are:-
8. The product of two numbers is 2028 and their HCF is 13. The number of such pairs is
9. HCF of 3240, 3600 and a third number is 36 and their LCM is $2^4\times 3^5\times 5^2\times 7^2.$ The Third number is:
10. The LCM and HCF of two numbers are 1530 and 51. Find how many such pairs are possible.