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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 and y in the following pair of equations

(A) and

(B) and

(C) and

(D) and

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

(A) 384 cm^{3}

(B) 388 cm^{3}

(C) 392 cm^{3}

(D) 396 cm^{3}

**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 . 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.