Equations is an important topic in the Quantitative Aptitude section in NMAT exam. Practising this topic will increase your score overall and make your conceptual grip on NMAT exam stronger.
This article gives you a full set of NMAT Equations MCQs with explanations and NMAT previous year questions (PYQs) for effective practice. Practice of Quantitative Aptitude MCQs including Equations questions regularly will improve accuracy, speed, and confidence in the NMAT 2025 exam.
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NMAT Equations MCQs with Solutions
1.
Given the quadratic equation \(x^2 – (A – 3)x – (A – 7) = 0\), for what value of A is the sum of squares of the roots 0?- -2
- 3
- 5
- 10
- 13
2.
Solve the following:-
(23)23 × (23)–19 =?- 529
- 23
- 12167
- \(529^2\)
3.
In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
I. \( 14x^2 - (7 + 2\sqrt{2})x + 3.50\sqrt{2} = 0 \)
II. \( \sqrt{(4y + 1)} - \sqrt{(y + 3)} = 2 \)
- \( x>y \)
- \( x<y \)
- \( x \geq y \)
- \( x \leq y \)
- No relationship can be established
4.
The speed of a train pulling out of a station is given by the equation s = t2 + t, where s is the speed in kilometers per hour and t is the time in seconds from when the train starts moving. The equation holds for all situations were o t 4. In kilometers per hour, what is the difference in the speed of the train four seconds after it starts moving, compared to the speed two seconds after it starts moving?- 14
- 6
- 0
- 20
5.
Solve the following:-
\(5389 + 4172 – 3868 – ? = 2456 + 1130\)- 2007
- 1897
- 1987
- 2115
6.
Given the quadratic equation \(x^2 – (A – 3)x – (A – 7) = 0\), for what value of A is the sum of squares of the roots 0?- -2
- 3
- 5
- 10
- 13
7.
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?- 5
- 3
- 1
- 7
8.
Solve the following:-
\([(156)^2 ÷ 8 × 36] ÷ ? = 117 × 24\)- 37
- 39
- 41
- 43
- None of these
9.
Which of the following must equal zero for all real numbers x?
(I). x3-x2
(II). x0
(III). x1- II only
- I only
- None
- I and II only
10.
You have to find out what will come in place of the question mark
2154.832 ÷ 16.1514 = ?- 13
- 130
- 150
- 15
- 1300
11.
Solve the following:-
\(312 × ? × 14 = 157843 + 56189\)- 48
- 50
- 52
- 54
- None of these
12.
You have to find out what will come in place of the question mark
\(\sqrt{486}\)++ 21% of 32 =?- 35
- 40
- 20
- 28
- 32
13.
The value of expression \(\left\{\frac{x^b}{x^c}\right\}^{(b+c-a)}\) \(\left\{\frac{x^b}{x^c}\right\}^{(b+c=a)}\) \(\left\{\frac{x^b}{x^c}\right\}^{(b+c-a)}\) is- \(X^{ab+bc+ca}\)
- I
- \(X^{abc}\)
- \(X^{a+b+c}\)
14.
The question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
What is the ratio of the present ages of X and Y?
A. The ratio between the present ages of X and Y after 10 years is 11:15.
B. The present age of Y is 200/3 % more than that of X.
C. The product of the present ages of X and Y is 240 years.- Any of them
- Only C and either A or B
- Any two of them
- Only A and B together
15.
Solve the following:-
\(3870 ÷ ? = 516\)- 7.5>
- 12.25
- 5.85
- 15.65
- None of these
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