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Questions(204)
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What is the remainder when $13^{66}-23$ is divided by $183$ ?
Find $\dfrac{6^{31}-1}{5}$ mod $7$
Sum of 8 consecutive numbers of set A is 376. What is the sum of 5 consecutive numbers of another set if its minimum number is 15 ahead of average of Set A?
1) If the eight-digit number $5668x25y$ is divisible by $48,$ find the least value of $x+y$
a)$10~~$ b)$9~~$ c)$8~~$ d)$7$

2) A,B and C are digits and $\text{64A3B6C}$ is divisible by $360.$ How many values can (A,B) take?
a)$8~~$ b)$10~~$ c)$7~~$ d)$5~~$
what is the smallest five digit number which is divisible by 7 as well as 13
The sum of all natural numbers from 100 to 300 which are exactly divisible by 4 or 5 is
A. 10200
B. 15200
C. 16200
D. None
If $a^2+b^2+c^2=2a-2b-2$, then the value of $3a-2b+c$ is
Define a number $K$ such that it is sum of the squares of the first $M$ natural numbers (i.e., $K=1^2+2^2+3^2+\cdots+M^2$) where $M\lt 55$. How many values of M exists such that K is divisible by 4?
$25^{25}$ is divided by 26. The remainder is