Professional PK

Friday 5 April 2019

April 05, 2019 Professional

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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.

36. If $9m=4n$ , then $\frac{n}{m}=?$
(A) $\frac{3}{2}$
(B) $\frac{2}{3}$
(C) $\frac{9}{4}$
(D) $\frac{4}{9}$

37. In the diagram the length and width is given in cm. What is the area in cm² of the triangle?

(A) 12
(B) 14
(C) 16
(D) 18

38. Suppose Rs.15,000 is deposited into a savings account that earns simple interest at an annual rate of 10%. How much will be in the account after 5 years?
(A) 21,500
(B) 22,000
(C) 22,500
(D) 23,000

39. The price of a house is Rs.1 million. And, the buyer also has to pay 10% of the price as purchasing tax. After these two payments, the buyer also has to pay 10% of allocation tax on the new price (actual price + purchasing tax). What the full amount in rupees the buyer has to pay?
(A) 120,00,00
(B) 121,00,00
(C) 122,00,00
(D) 123,00,00

40. In a class of 60 students comprising girls and boys, 30% are girls. How many boys are in the class?
(A) 39
(B) 40
(C) 41
(D) 42

ANSWERS: NTS QUANTITATIVE SAMPLE
36(C) 37(A) 38(C) 39(B) 40(D)

SOLUTIONS: NTS QUANTITATIVE SAMPLE

36. (C)

37. (A)

This is a right-triangle where base = 6, and perpendicular (or height) = 4. By applying formula for calculating area of a triangle, we have

38. (C) Here P = 15,000, r = 10% = 0.1, and t = 5. By applying formula for calculating simple interest, the final amount is given by

39. (B)

40. (D) If 30% are girls, then 70% are boys. Hence,

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April 05, 2019 Professional

Page: 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

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 rupess?
(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.

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April 05, 2019 Professional

Page: 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

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

26. Consider the following equation. Solve for $x$ :

$\frac{x}{2}+3=x-y$

(A) $x=y+2$
(B) $x=y+4$
(C) $x=2y+4$
(D) $x=2y+6$

27. The straight line $2x+3y+4=0$ touches the $x-axis$ at?
(A) $x=-2$
(B) (A) $x=2$
(C) $x=-1$
(D) $x=1$

28. What is the value of $x$ in the following diagram?

(A) 5
(B) 6
(C) 7
(D) 8

29. What is the volume of a right-circular cylinder in cm³ whose radius is 2 cm, and height is 14 cm?
(A) 176
(B) 184
(C) 192
(D) 200

30. What is sum of the first 10 terms of the sequence: 1, 2, 4, 8, 16, … ?
(A) 1017
(B) 1020
(C) 1023
(D) 1026

ANSWERS: GAT SAMPLE PAPER (QUANTITATIVE)
26(D) 27(A) 28(B) 29(A) 30(C)

SOLUTIONS: GAT SAMPLE PAPER (QUANTITATIVE)

26. (D)

27. (A) The line touches the $x-axis$ when $y=0$ . Hence,

28. (B) This is right-triangle. So, by using Pythagoras theorem, we have

29. (A) By using formula for calculating volume of the right-circular cylinder, we have

30. (C) This is a geometric sequence with common ratio 2 and the first term is 1. By using formula for calculating sum of the n terms of a geometric sequence, we have