List of top Mathematics Questions on Number Theory asked in MET

If \(G\) is an abelian group then for all \(a,b \in G\), \(b^{-1} * a^{-1} * b * a\) is equal to

If all edges are directed in a graph then it is called as

\((p \wedge \neg q) \wedge (\neg p \wedge q)\) is

In the group \( G = \{ 1, 2, 3, 4, \times_5 \} \), the solution of \( 2^{-1} \times (3 \times 5^x) = 4 \) is

The least remainder when \( 17^{30} \) is divided by 5, is

\( \frac{\sqrt{3}}{6} + \sqrt{3} + \frac{\sqrt{6}}{3 + \sqrt{2}} \) is equal to

Which is the correct order for a given number \( \alpha \) in increasing order?

If \( x = \sqrt{5} + \sqrt{2} \), \( y = \sqrt{5} - \sqrt{2} \), then \[ 3x^2 + 4xy - 3y^2 \quad \text{is equal to:} \]

The square root of \( \sqrt{50} + \sqrt{48} \) is:

The number of solutions of \[ \log_4 (x - 1) = \log_2 (x - 3) \] is/are:

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: