Free Practice Questions for Number-system in Maths

Practice questions here, for every subject and every exam. Unlimited questions for unlimited attempts, given with answers and explanations.


Question 1:

When a number is divided by 156 it gives remainder 29 . If the same number is divided by 13 find the remainder.

Question 2:

$(59)^{8}-(57)^{8}$ is exactly divisible by which of the following ?

Question 3:

A vendor sold three different colors of 2 meters of cloth to 110 customers. 30 customers bought red color and yellow color only. 20 customers bought Yellow and Maroon colors only. 25 customers bought Red and Maroon colors only. 29 bought all the three colors. How many people bought only one color of 2 meters of cloth?

Question 4:

In a division operation, the divisor is 5 times the quotient and 9 times the remainder. If the remainder is 25, what will be the dividend?

Question 5:

Total number of factors of $99^{3}-63^{3}-36^{3}$ is:

Question 6:

Six digit number $5 a 4 b 6 c$ is divisible by 7 , 11 and 13. Find the value of $(3 a-5 b+7 c)$.

Question 7:

If a nine-digit number $789 x 6378 y$ is divisible by 72 , then the value of $x + y$ is:

Question 8:

Let $x=(433)^{24}-(377)^{38}+(166)^{54}$. What is the units digit of $x$ ?

Question 9:

$X 84 Y$ is divisible by 9,  find the minimum value of $X+Y$.

Question 10:

If the product $4864 \times 9 \mathrm{P} 2$ is divisible by 12 , the value of $\mathrm{P}$ is:


Question 11:

$49^{15}-1$ is exactly divisible by :

Question 12:

If $7A6245B$ is divisible by $88$ , then what is the value of $B^2 -A^2$ ?

Question 13:

What is the average of all the prime numbers between 70 and 100 ?

Question 14:

What is the least multiple of 7, which when divided by 6, 9, 12 and 15 leaves a remainder 3 in each case?


Question 15:

What is the remainder when the product of 330, 613 and 860 is divided by 17 ?

Question 16:

The average of 11 consecutive numbers is 40 . The smallest of these numbers is:

Question 17:

What is the greatest number by which when 156,181 and 331 are divided, the remainder is 6 in each case?

Question 18:

If the 7-digit number $x 8942 y 4$ is divisible by 56 , what is the value of $x^2-y$ for the largest value of $\mathrm{y}$, where $\mathrm{x}$ and $\mathrm{y}$ are natural numbers?

Question 19:

How many numbers are there from 600 to 750 (including both) which are neither divisible by 3 nor by 7 ?

Question 20:

How many numbers are there from 600 to 750 (including both) which are neither divisible by 3 nor by 7 ?