Basics of Number Systems

If the number $1358*16$ is exactly divisible by $11$, then $*=?$ 

Which of the following is TRUE regarding prime numbers less than $100$?

A: Between any two consecutive prime numbers there cannot be more than $5$ composite numbers.

B: Among the prime numbers, integers with unit digit $‘3’$ are maximum.

How many natural numbers are there lying between $134$ and $467$ which are divisible by $7$?

On children’s day sweets were to be equally distributed amongst 200 children. But on that particular day 40 children remained absent; hence each child got 2 sweets extra. How many sweets were distributed?

If the sum of a few numbers is 450 and their mean is 50 and if another number 100 is included, the mean would become

A boy was asked to multiply a number by $25$. Instead, he multiplied the number by $52$ and got the answer $324$ more than the correct answer. The number to be multiplied was:

366 is divided into A, B and C in such a way that A gets $\frac{1}{2}$ as much as  B and C combined and B gets $\frac{2}{3}$ to the sum of A and C together. Will be part of A?

The difference of two two-digit numbers is 18. Four times the second number is 18 more than thrice the first number. Find sum of both numbers.

If the difference between a number and two gift of the number is 30, find the number?

What is the least number to be added in $4000$ to make it a perfect square?

What is the least number to be added to 3986 to make it a perfect square?

The sum of a number and seven times of it is equal to the product of 25.6 and 12.5. What will be one- fourth of that number.?

What value will be obtained if the cube of $8$ is subtracted from the square of $31$ ?

The sum of five consecutive odd numbers is equal to 225. What is the sum of the smallest number amongst them and the square of the one-seventh the largest number amongst them ?

The product of two consecutive odd numbers is 19043 which is the smaller number

Find minimum square number when that number is divided by 4, 5, 6 then we get ‘O’ as remainder.

There is a difference of $30$ between a number and two over five of a number. Find the number.

Out of three given numbers, the first number is twice the second and thrice the third. If the sum of three numbers is $121$. What is the difference between the first and third number?

The number of 3-digit number exactly divisible by 5 is

The number zero (0) is surrounded by the same 2-digit number on both (left and right) the sides; for example, 25025, 67067, etc. The largest number that always divides such a number is