NTS Sample Paper – Quantitative (Math) Questions with Solutions

GAT General → NTS Sample Paper – Quantitative (Math) Questions with Solutions

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Choose the correct answer from the given options. Find answers and solution to the questions at the bottom of the page.

31. 8 is 5 percent of what number?
(A) 140
(B) 150
(C) 160
(D) 170

32. An article was sold for Rs.360 after a 25 percent discount. What was the actual price of the article in rupees?
(A) 470
(B) 480
(C) 490
(D) 500

33. The length of the sides of the parallelogram is given in centimeters. What is the area in cm² of the given parallelogram?

(A) 20
(B) 22
(C) 24
(D) 26

34. If $n$ books cost $r$ rupees. Then how much will $m$ books cost?
(A) $mr$
(B) $nr$
(C) $\frac{nr}{m}$
(D) $\frac{mr}{n}$

35. If the ratio of two numbers is 8:3, and their difference is 25. Then what are the two numbers?
(A) 15 and 40
(B) 17 and 42
(C) 20 and 45
(D) 22 and 47

ANSWERS: NTS SAMPLE PAPER (QUANTITATIVE)
31(C) 32(B) 33(C) 34(D) 35(A)

SOLUTIONS: NTS SAMPLE PAPER (QUANTITATIVE)

31. (C) First convert from English to Mathematics

32. (B) The article was sold after 25% discount. Hence, the given price Rs.360 is 75% of the actual price. So,

33. (C) We can calculate the height of the parallelogram (the dotted line) by using Pythagoras formula, (Hypotenuses)² = (Perpendicular)² + (Base)²
5² = (Height)² + 3² ∵Perpendicular of Triangle = Height of Parallelogram
(Height)² = 16
Height = 4

Now, Area of Parallelogram = base × height
= 3×4
= 12 cm²

34. (D)
$n$ books → $r$ rupees
$m$ books → $x$ rupees
By cross multiplication, we have
$nx=mr$
$x=\frac{mr}{n}$

35. (A) Let $n$ be the common factor. So,
$8n-3n = 25$ ⇒ $5n=25$ ⇒ $n=5$ . Hence,
$8n=8(5)=40$ and $3n=3(5)=15$ . Thus, the two numbers are: 40 and 15.