Number System MCQs

What least value which should be added to 1812 to make it divisible 7, 11 and 14?

For any integral value of n, 32n + 9n + 5 when divided by 3 will leave the remainder

If a certain number of two digit is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the number is

Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?

Arrangement of the fractions $$\frac{4}{3},\, - \frac{2}{9},\, - \frac{7}{8},\,\frac{5}{{12}}$$ into ascending order:

Let a, b and c be the fractions such that a < b < c. If c is divided by a, the result is $$\frac{5}{2}$$, which exceeds b by $$\frac{7}{4}$$. If a + b + c = $$1\frac{{11}}{{12}}$$ , then (c - a) will be equal to:

The sum of the digits of the least number which when divided by 36, 72, 80 and 88 leaves the remainders 16, 52, 60 and 68, respectively, is:

The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is:

If 7-digit number 678p37q is divisible by 75 and p is not a composite, then the values of p and q are: