Arithmetic

Numericals

Medium

applied

The value of $m$ satisfying $m \equiv 12(mod\ 7)$ is:

-3

-9

✅ Correct Option: 4

The congruence means $7$ divides $m-12$ . Checking the options, $-9-12 = -21$ is divisible by $7$ , whereas $3$ , $-3$ and $9$ give differences $-9$ , $-15$ and $-3$ , none divisible by $7$ .

2026: 26 May Shift 2

The least non-negative remainder when $5^{48}$ is divided by 7 is

2025: 14 May Shift 2

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

2025: 27 May Shift 1

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

2025: 22 May Shift 2

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

2026: 29 May Shift 2

If $77 \equiv x(mod\ 4)$ , then the least positive value of $x$ is :

2026: 21 May Shift 2

The units digit in $12^{108}$ is:

The value of mmm satisfying m≡12(mod 7)m \equiv 12(mod\ 7)m≡12(mod 7) is:

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

The value of $m$ satisfying $m \equiv 12(mod\ 7)$ is: