List of top Mathematics Questions on Number Theory

The remainder obtained when \(5^{124}\) is divided by 124 is
Equation \(x * a = b\) has in group \((G, *)\)
The remainder obtained when \(1! + 2! + \cdots + 200!\) is divided by 14 is
Which of the following statement is not tautology?
The decimal equivalent of the binary number 10011.1 is
The binary representation of 60 is
If n be any integer, then \(n(n+1)(2n+1)\) is:
If $a$, $b$, $c$ are different integers such that $(a,b) = c$, which of the following statements is true?
The least positive remainder when $123 \times 125 \times 127$ is divided by 124 is
If $(3 - x) \equiv (2x - 5) \pmod{4}$, then one of the values of $x$ is
The GCD of 364 and 462 is
When $5^{20}$ is divided by 7, the remainder is
If $77 \equiv 88x \pmod{5}$, then x is equal to
The number of divisors of 360 (excluding 1 and 360) is:
If 5 men can build a wall in 12 days, how many days will 10 men take?
A train 100m long passes a bridge in 10 seconds at 72 km/hr. The length of the bridge is:
A shopkeeper sold an item for Rs. 440 at a 10% profit. What was the Cost Price?
A boat goes 12 km/hr in still water. If the speed of the stream is 4 km/hr, what is the boat's speed downstream?
If 3x + 5 = 20, what is the value of x?
The average of first five multiples of 3 is:
The number of divisors of 360 (excluding 1 and 360) is: