1. | Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively ? | |
2. | The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is ? | |
3. | The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is ? | |
4. | The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is ? | |
5. | Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder 2 be N. The sum of digits in N is ? | |
6. | The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is ? | |
7. | If the product of three consecutive numbers is 210 then sum of the smaller number is ? | |
8. | Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are ? | |
9. | The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is ? | |
10. | The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is ? | |