﻿ SSC - CGL Quantitative Aptitude Solved Question Paper 2016 | Previous Year Papers | Zigya

## Subject

Quantitative Aptitude

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# SSCCGL Quantitative Aptitude Solved Question Paper 2016

#### Multiple Choice Questions

53.

The marked price of a ceiling fan is â‚¹ 1,200/- and the shopkeeper allows a discount of 5% on it. Then selling price of the fan is

• â‚¹ 1,410

• â‚¹ 1,400

• â‚¹ 1,140

• â‚¹ 1,104

C.

â‚¹ 1,140

Selling price: 45 Views

58.

If a3 - b3 = 56  and a - b = 2, then what is the value of a2 + b?

• 12

• 20

• 28

• 32

B.

20

(a - b)3 = a3 - b3 - 3ab(a - b)
(2)3 =   56 - 3ab(2)
8 = 56 - 6ab
6ab = 48
ab = 8
(a - b)2 = a2 + b2 - 2ab
(2)2   =  a2 + b2 - 2 x 8
4     =  a2 + b2 - 16
∴  a2 + b2 = 20

164 Views

51.

A can do of a work in 5 days and B can do th of this work in 10 days. Both A and B, together can do the work in

• • • • 10 days

C. A can complete the work in B can complete the work in ∴    A and B together can finish the work in 87 Views

54.

If 35% of A's income is equal to 25% of B's income, then the ratio of A's income to B's income is:

• 7 : 5

• 5 : 7

• 4 : 7

• 4 : 3

B.

5 : 7 130 Views

57.

At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hours. Then the distance between Kolkata and Ranchi is:

• 560 km

• 506 km

• 560 m

• 650 m

A.

560 km

Distance  = Speed x Time
=  80 km/hr x 7 hr
= 560 km

61 Views

56. • 100

• 200

• 300

• 400

B.

200 56 Views

60.

X and Y are the mid-points of sides of AB and AC of ΔABC. If BC + XY = 12 units, then BC - XY is:

• 8 units

• 4 units

• 6 units

• 2 units

B.

4 units As X and Y are the mid points of AB and AC respectively. According to the question,
BC + XY = 12  ∴  XY = (8/2) = 4 unit
BC - XY = 8 -  4 = 4 unit

62 Views

52.

The base area of a right pyramid is 57 sq units and height is 10 units. Then the volume of the pyramid is:

• 190 c. units

• 380 c. units

• 540 c. units

• 570 c. units

A.

190 c. units

Volume of pyramid: 67 Views

59.

If x2 - 3x + 1 = 0, then the value of is

• 1

• 0

• 3

• 2

C.

3

x2 - 3x + 1  = 0
x2 + 1  - 3x = 0 52 Views

55.

A and B invest â‚¹ 3,000/- and â‚¹ 2,400/- respectively in a business. If after one year there is a loss of â‚¹ 720/-, how much loss will B bear? (Loss or profit in proportion to their investments)

• â‚¹ 72/-

• â‚¹ 320/-

• â‚¹ 400/-

• â‚¹ 360/-

B.

â‚¹ 320/-

Ratio of losses of A and B = Ratio of investments of A and B
= 3000 x 12 : 2400 x 12
= 5 : 4
∴   B's loss: 95 Views