Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6 and 7 leaves a remainder 2 in each case.
What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10? |
Answer |
If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by: |
Answer |
What is the greatest positive power of 5 that divides 30! exactly? |
Answer |
In how many ways can a number 6084 be written as a product of two different factors ? |
Answer |
What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3? |
Answer |
P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is: |
Answer |
Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is: |
Answer |
Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively. The number of times they will toll together in the next 2 hr is: |
Answer |
The product of two numbers is 16200. If their LCM is 216, find their HCF. |
Answer |
There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number. |
Answer |