CUET Mathematics Arithmetic > Numericals PYQs

The least non-negative remainder, when $5^{61}$ is divided by 7, is

The remainder, when $5^{60}$ is divided by 7, is

The unit's digit of $2^{2025}$ is

The digit in the unit's place of $6^{500}$ is:

Match List-I with List-II | List-I | List-II | |---|---| | (A) Unit's digit of $2^{11}$ | (I) 2 | | (B) Unit's digits of $11^{132}$ | (II) 1 | | (C) Remainder when $71 \times 73 \times 75$ is divided by 23 | (III) 4 | | (D) Remainder when $7^{30}$ is divided by 5 | (IV) 8 | Choose the correct answer from the options given below:

If $525 \equiv (10 + K)( {mod } 7)$ where $K \in \mathbb{N}$, then the least value of $K$ is:

The least non-negative remainder when $2^{75}$ is divided by 5 will be:-

In a game, A can give 36 points to B, A can give 42 point to C, B can give 10 points to C. How many points make the game ?

If it is 7:00 pm currently in the clock, what will the clock show (in am or pm) after 674 hours?

The unit's digit of $13^{13}$ is:

The unit's digit in $13^{61}$ is

The remainder when $(672 + 541 + 383 + 295 + 101 + 86)$ is divided by 3, is:

The least positive integer x satisfying $29 \equiv x \pmod{5}$ is

In a game of 100 points, A can give B 20 points and C 28 points. How many points can B give C?

The unit digit of $12^{12}$ is:

The unit's digit of $12^{12}$ is equal to:

In a game of billiards, A can give B, 15 points in 60 and A can give C, 20 points in 60. How many points can B give C in a game of 90?

The remainder when $2^{340}$ is divided by 341 is:

The least non-negative remainder when $2^{101}$ is divided by 5 is:

The least non-negative remainder when $3^{128}$ is divided by 7 is:

If $X = 11$ and $Y = 3$, then $X \mod Y = (X + aY) \mod Y$ holds

The non-negative remainder when $7^{30}$ is divided by 5 is

In a game of 100 points, A can give 20 points to B and 28 points to C. How many points can B give C?

The value of $3^{18}(mod \space 4)$ is equal to

The least non-negative remainder when $3^{51}$ is divided by $7$ is :

A mixture contains apple juice and water in the ratio $10: \mathrm{x}$. When $36$ litres of the mixture and $9$ litres of water are mixed, the ratio of apple juice and water becomes $5: 4$. The value of $x$ is :

If $x$ is the least positive integer satisfying $100 \equiv x \pmod{6}$, then $(2x+1)$ is equal to :

In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of ₹ 3,500, A's share is :