Choose the correct answer from the given options.

Q. What are values of $x$ and $y$ in the following pair of equations

(A) $x=2$ and $y=3$
(B) $x=3$ and $y=2$
(C) $x=3$ and $y=\frac{1}{3}$
(D) $x=2$ and $y=\frac{1}{2}$

The answer is: (C) $x=3$ and $y=\frac{1}{3}$
Solution

Q. What is the volume of the cylinder given below, where radius and height of the cylinder is given in centimeters

(A) 384 cm³
(B) 388 cm³
(C) 392 cm³
(D) 396 cm³

The answer is: (D) 396 cm³
Solution
The formula for calculating volume of a right-circular cylinder is $V=\pi r^2 h$ . Thus,

Q. What is the geometric mean of the numbers: 2, 4 and 8?
(A) 3
(B) 4
(C) 5
(D) 6

The answer is: (B) 4
Solution
By applying formula for calculating geometric mean, we have

Q. What is the 71^st term of the sequence: 4, 7, 10, 13, …. ?
(A) 214
(B) 216
(C) 218
(D) 220

The answer is: (A) 214
Solution
This is an arithmetic sequence with common difference 3, and the first term is 4. By applying, formula for finding the n^th term of an arithmetic sequence we have

Q. What is the sum of the sequence: 5, 10, 15, …., 5000 ?
(A) 250,2200
(B) 250,2300
(C) 250,2400
(D) 250,2500

The answer is: (D) 250,2500
Solution
This is an arithmetic sequence with common difference 5, the first term is 5, and the last term is 5000. By applying, formula for finding the sum of the n terms of an arithmetic sequence, we have

NOTE: There are 1000 terms from 5 to 5000, so n = 1000.

NTS Quantitative Reasoning
Page: 1 | 2 | 3

NTS Quantitative ReasoningPage: 1 | 2 | 3

NTS Quantitative Reasoning
Page: 1 | 2 | 3