Professional PK

Friday 5 April 2019

April 05, 2019 Professional

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QUANTITATIVE REASONING: PRACTICE QUESTIONS

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

11. 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 $y=\frac{1}{2}$

12. 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

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

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

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

ANSWERS: NTS QUANTITATIVE PRACTICE
11(C) 12(D) 13(B) 14(A) 15(D)

SOLUTIONS: NTS QUANTITATIVE PRACTICE

11. (C)

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

13. (B) By applying formula for calculating geometric mean, we have

14. (A) 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

15. (D) 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.

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April 05, 2019 Professional

QUANTITATIVE REASONING: PRACTICE QUESTIONS

Page: 1 | 2 | 3

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

6. What is the value of $x$ in the equation

(A) 1
(B) –2
(C) 2
(D) 3

7. How many feet there are in 4.5 meters? If 1 meter = 3.281 feet.
(A) 14.36
(B) 14.56
(C) 14.76
(D) 14.96

8. If person-A can complete a particular work in 10 days and person-B can completes that same work in 12 days. How much time it will take if they work together?
(A) 5 days and 11 hours
(B) 5 days and 16 hours
(C) 6 days and 11 hours
(D) 6 days and 16 hours

9. Consider the diagram below, where the length of the line AB is 6 cm. And, C is center of the circle

What is the area of the shaded region (region in maroon colour)?
(A) 19.09 cm²
(B) 19.29 cm²
(C) 19.49 cm²
(D) 19.69 cm²

10. A student obtained the marks: 60, 50, 70, 65 and 85 in Physics, Chemistry, Statistics, English and Biology respectively, and 0 marks in Mathematics. What the average marks he obtained?
(A) 55
(B) 60
(C) 65
(D) 70

ANSWERS: QUANTITATIVE REASONING PRACTICE
6(D) 7(C) 8(A) 9(B) 10(A)

SOLUTIONS: QUANTITATIVE REASONING PRACTICE

6. (D)

7. (C)

3.281 ⇒ three digits after decimal
4.5 ⇒ one digit after decimal. Hence,
14.7645 ⇒ (3+1=4 digits after decimal)

8. (A)

9. (B) The length of line AB which is the diameter of the circle is 6 cm. Hence, radius of the circle is 3 cm.

10. (A) Average is calculated as, sum of elements divided by number of elements, that is

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NTS Quantitative Reasoning Practice

April 05, 2019 Professional

Quantitative reasoning section practice questions with answers and solutions. NTS test preparation material for quantitative section. The quantitative section of the NTS test consists of questions from Arithmetic, Algebra, Geometry, Word Problems, Financial Mathematics, Basic Statistics and Probability.

QUANTITATIVE REASONING: PRACTICE QUESTIONS

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

1. What is the solution of the equation

(A) 1
(B) $\frac{2}{17}$
(C) $\frac{17}{2}$
(D) 4

2. If $x=-2$ , then what is the value of the function

(A) 2
(B) 4
(C) 8
(D) 12

3. What comes next in the sequence: 2 3 7 23 ____?
(A) 77
(B) 83
(C) 87
(D) 93

4. What is area of the shaded region (coloured region) in the following diagram

(A) 16 cm²
(B) 18 cm²
(C) 20 cm²
(D) 22 cm²

5. A car covered 300 km of distance in 3 hour 20 minutes, and then 240 km of distance in 2 hour and 40 minutes. What is the average speed of the car during this trip?
(A) 80 km/hr
(B) 90 km/hr
(C) 100 km/hr
(D) 110 km/hr

ANSWERS: NTS QUANTITATIVE PRACTICE
1(C) 2(D) 3(C) 4(A) 5(B)

SOLUTIONS: NTS QUANTITATIVE PRACTICE

1. (C)

2. (D)