Number System MCQs

What is least possible number when it is divided by 13 leaves 8 and when divided by 7 leaves remainder 6?

If the number 8764x5 is divisible by 9, then find the least possible value of x where x is a two-digit number.

What is the Arithmetic mean of the first 'n' natural numbers?

One of the factors of (82k + 52k), where k is an odd number, is:

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + C (C > - 7) is a constant, then the minimum value of the fraction is:

A two-digit number, 9A, is a prime number. Find A.

What is the value of x so that the seven digit number 8439x53 is divisible by 99?

The sum of the digits of a two digit number is $$\frac{1}{7}$$ of the number. The units digit is 4 less than the tens digit. If the number obtained on reversing its digits is divided by 7, the remainder will be:

Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2. The numbers are: