The least positive integer x satisfying 29 x ±od5 is Option 1: 1 Option 2: 3 Option 3: 4 Option 4: 5

Answer: 4. Solution: The expression 29 x ±od5 means 29 and x leave the same remainder when divided by 5. Dividing 29 by 5: 29 = 5 x 5 + 4 The remainder is 4. Since 29 leaves a remainder of 4 when divided by 5: 29 4 ±od5 Therefore, the least positive integer x = 4

Arithmetic

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

✅ Correct Option: 3

The expression $29 \equiv x \pmod{5}$ means 29 and $x$ leave the same remainder when divided by 5.

Dividing 29 by 5:

$29 = 5 \times 5 + 4$

The remainder is 4.

Since 29 leaves a remainder of 4 when divided by 5:

$29 \equiv 4 \pmod{5}$

Therefore, the least positive integer $x = 4$

2025: 15 May Shift 1

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

2026: 26 May Shift 2

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

2025: 3 June Shift 1

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

2025: 13 May Shift 2

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

2025: 29 May Shift 2

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:

2026: 30 May Shift 1

The set of values of $x$ satisfying $x\equiv12(\mod5)$ is: (Where $I$ is set of integer)

The least positive integer x satisfying 29≡x(mod5)29 \equiv x \pmod{5}29≡x(mod5) is

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CUET Mathematics Past Year Questions (Topic-Wise)

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