Number System, Problems on Number

a² is divisible by both 40 and 75 if a has exactly three distinct prime factors, which of the following could be the value of 'a'?

If (89)² is added to the square of a number, the answer so obtained is 16202. What is the 1/26 of that number?

How many numbers from 11 to 50 are there which are exactly divisible by 7 not by 3?

How many 5 will you pass on the way when you count from 1 to 100?

If both 11²  and 3³  are factors of the number a* 4³ * 6² * 13¹¹ , then what is the smallest possible value of ‘a’?

If the ratio of two numbers is 3:4 and their L.C.M is 84, then find the greater number.

0.014 × 0.014 = ?

If x² + 4x + 3 is odd, then which one of the following could be the value of x?