If a > b and c bc Choose the correct answer from the options given below: Option 1: (A), (B) and (D) only Option 2: (B) and (C) only Option 3: (A), (C) and (D) only Option 4: (B), (C) and (D) only

Answer: (B), (C) and (D) only. Solution: Given a > b and c Statement (A): ac b, multiplying both sides by c where c Statement (B): a + c b, adding c to both sides: a + c > b + c Statement (B) is not correct. Statement (C): a - c b, subtracting c from both sides: a - c > b - c Statement (C) is not correct. Statement (D): ac > bc From a > b, multiplying both sides by c where c Statements (B), (C), and (D) are not correct. The answer is: (B), (C) and (D) only.

Algebra

Inequalities

Medium

applied

If $a > b$ and $c < 0$ , then which of the following is NOT correct?

(A) $ac < bc$

(B) $a + c < b + c$

(C) $a - c < b - c$

(D) $ac > bc$

Choose the correct answer from the options given below:

(A), (B) and (D) only

(B) and (C) only

(A), (C) and (D) only

(B), (C) and (D) only

✅ Correct Option: 4

Given $a > b$ and $c < 0$ .

When multiplying or dividing an inequality by a negative number, the inequality sign reverses. When adding or subtracting, the sign remains unchanged.

Statement (A): $ac < bc$

From $a > b$ , multiplying both sides by $c$ where $c < 0$ :

$ac < bc$

Statement (A) is correct.

Statement (B): $a + c < b + c$

From $a > b$ , adding $c$ to both sides:

$a + c > b + c$

Statement (B) is not correct.

Statement (C): $a - c < b - c$

From $a > b$ , subtracting $c$ from both sides:

$a - c > b - c$

Statement (C) is not correct.

Statement (D): $ac > bc$

From $a > b$ , multiplying both sides by $c$ where $c < 0$ :

$ac < bc$

Statement (D) is not correct.

Statements (B), (C), and (D) are not correct.

The answer is: (B), (C) and (D) only.

2026: 29 May Shift 2

The solution to the inequality $-12 < \frac{2x-1}{3} < 12$ is

2025: 22 May Shift 2

The solution set of inequality $3x + 5y < 4$ is

2025: 13 May Shift 1

If $a, b$ and $c$ are positive real numbers, then

Match List-I with List-II

List-I	List-II
(Expression)	(The Least value of the expression)
(A) $(a + b)(b + c)(c + a)$	(I) $8abc$
(B) $(a + b + c)(ab + bc + ca)$	(II) $9a^2b^2c^2$
(C) $(a^2b + b^2c + c^2a)(ab^2 + bc^2 + ca^2)$	(III) $9abc$
(D) $(a + b)^2(b + c)^2(c + a)^2$	(IV) $64a^2b^2c^2$

Choose the correct answer from the options given below:

2025: 3 June Shift 2

If $\frac{3x - 5}{6} + 8 \geq 4 + \frac{2x}{3}$ , then

2026: 18 May Shift 1

For the inequality $3-2x \geq x-32$ , which of the following are true?

(A) When $x \in N$ (set of natural numbers), the solution set is $\{1,2,3,\dots,11\}$ .

(B) When $x \in I$ (set of integers), the solution set is $\{-\infty,\dots,-3,-2,-1,0,1,2,3,\dots 10,11\}$ .

(D) When $x \in R$ (set of real numbers), the solution set is $(-\infty,\infty)$ .

Choose the correct answer from the options given below:

2026: 25 May Shift 1

If $\dfrac{x+3}{2x-1} < 1$ , then the solution set contains :

A. $(-\infty,1/2)$

B. $(-\infty,4)$

C. $(-4,4)$

D. $(4,\infty)$

Choose the correct answer from the options given below:

If a>ba > ba>b and c<0c < 0c<0, then which of the following is NOT correct? (A) ac<bcac < bcac<bc (B) a+c<b+ca + c < b + ca+c<b+c (C) a−c<b−ca - c < b - ca−c<b−c (D) ac>bcac > bcac>bc Choose the correct answer from the options given below:

Solution

Related questions:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

If $a > b$ and $c < 0$ , then which of the following is NOT correct?

(A) $ac < bc$

(B) $a + c < b + c$

(C) $a - c < b - c$

(D) $ac > bc$

Choose the correct answer from the options given below: