List of top Quantitative Aptitude Questions on Equations asked in NMAT

If \(a^2+b^2=41\) and \(ab=20\), then the value of \(a+b\) is

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. \( \sqrt{(4y + 1)} - \sqrt{(y + 3)} = 2 \)

If \( 3 \log x = 2 \log y = \log x + \log y + 1/5 \), then what is the value of \( xy \)?

Solve for x: \(3x - 7 = 2x + 5\).

If \(2x + 3y = 12\) and \(x = 3\), what is the value of y?

If \(\alpha\) and \(\beta\) are the roots of \(x^2 - 5x + 6 = 0\), what is the value of \(\alpha^2 + \beta^2\)?

If \(x + \dfrac{1}{x} = 4\), then what is the value of \(x^2 + \dfrac{1}{x^2}\)?

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?

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?

Solve the following:-
\((88)^2 + (73)^2 = (?)^2 – (38)^2 – 859\)

Solve the following:-
\(312 × ? × 14 = 157843 + 56189\)

Solve the following:-
\(5389 + 4172 – 3868 – ? = 2456 + 1130\)

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

Solve the following:-
\([(156)^2 ÷ 8 × 36] ÷ ? = 117 × 24\)

Solve the following:-
\(88.8 + 8.08 + 0.08 + 88.08 + 0.80 + 888 = ?\)

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.

Solve the following:-
\(3870 ÷ ? = 516\)

Which of the following must equal zero for all real numbers x?
(I). x³-x²
(II). x⁰
(III). x¹

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?

Solve the following:-
\((193 – 87) ÷ (1.25 × 2) = ?\)

Solve the following:-
(8.83% of 228) – (2.65% of 104) =?

Solve the following:-
(23)²³ × (23)^–19 =?

Solve the following:-
\( 8.496 – 1.384 + 3.462 + 2.801 =?\)

If the digit in the unit’s place of a two-digit number is halved and the digit in the ten’s place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?

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?