Quantitative Reasoning

Miscellaneous

Medium

If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation is:

$x^2 + 8x + 5 = 0$

$x^2 - 8x + 25 = 0$

$x^2 - 16x + 25 = 0$

$2x^2 - 8x + 25 = 0$

✅ Correct Option: 3

Let the roots be $\alpha$ and $\beta$ . AM $= (\alpha+\beta)/2 = 8$ , so sum $= 16$ . GM $= \sqrt{\alpha\beta} = 5$ , so product $= 25$ . Quadratic equation: $x^2 - (\text{sum})x + \text{product} = 0$ , i.e., $x^2 - 16x + 25 = 0$ .

2026: 29 May Shift 1

The algebraic identity in List-I and List-II are given below. Match List-I with List-II for correct relation between them.

List-I	List-II
(A) $(a+b)^2$	(I) $a^2 + b^2 - 2ab$
(B) $(a-b)^2$	(II) $a^2 + b^2 + 2ab$
(C) $(a+b)^3$	(III) $a^3 - b^3 - 3ab(a-b)$
(D) $(a-b)^3$	(IV) $a^3 + b^3 + 3ab(a+b)$

2026: 29 May Shift 2

What will come in place of the question mark (?) in the following sequence?

$125 \times 24 + 60\%\ of\ 660 = 4 \times ?$

2022: 24 Aug Shift 1

Number of applications received for admission in B.A. are :

2022: 24 Aug Shift 1

How many students failed in all three subjects English, Hindi and Mathematics ?

2025: 15 May Shift 1

If $\log_8 x = 2/3$ , then the value of X is:

2026: 12 May Shift 1

In Geometric Progression, if 10th term is 3072 and 6th term is 192. Then 3rd term will be:

If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation is:

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)