﻿ The curved surface area of a hemisphere is 2772 cm2 and volume is 19404 cm3, what is its radius?  from Class 12 SSCCHSL Previous Year Board Papers | Quantitative Aptitude 2017 Solved Board Papers

Subject

Quantitative Aptitude

SSCCHSL Class 12

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SSCCHSL Class 12 Quantitative Aptitude Solved Question Paper 2017

Multiple Choice Questions

1.

Refer the below data table and answer following question:
 India's exports in 2015 Value in million US dollar Jewellery 500 Software 850 Cotton 950 Steel 875 Electronics 1000

Electronics was what percent of total exports?

• 23.46 %

• 25.96 %

• 18.46 %

• 20. 96 %

D.

20. 96 %

Value of electronics in millions = 875
Total exports  = 500 + 850 + 950 + 1000 + 875 = 4175
∴   Required percentage:

2.

A carpenter can build a cupboard in 60 hours. After 15 hours he takes a break. What fraction of the cupboard is yet to be built?

• 0.5

• 0.9

• 0.75

• 0.25

C.

0.75

Carpenter takes break after 15 hours
∴  45 hours of work is left
∴ Fraction of work left

3.

What is the value of  ?

B.

4.

Which of the following equations has the sum of its roots?

• x2 - 5x + 6 = 0

• x2 - 5x - 6 = 0

• x2 + 5x + 6 = 0

• x2 + 5x - 6 = 0

A.

x2 - 5x + 6 = 0

x2 - 5x + 6 = 0
The sum of roots  is given by,

5.

Refer the below data table and answer following question:
 Year Profit or (-Loss) in ₹ crore 2011 5 2012 -5 2013 20 2014 5 2015 -5

What was the total profit or loss of the company in last 5 years?

• Profit of ₹ 30 crore

• Loss of ₹ 20 crore

• Loss of ₹ 30 crore

• Profit of ₹ 20 crore

D.

Profit of ₹ 20 crore

Total profit or loss = 5 - 5 + 20 + 5 - 5 = 20
Profit  = ₹ 20 crore.

6.

If 4pxy = (x + 2y)2 - (x - 2y)2, then what will be the value of p?

• 0.5

• 0.25

• 4

• 2

D.

2

4pxy = (x + 2y)2 - (x - 2y)2
⟹      4pxy = (x + 2y + x - 2y) (x + 2y - x + 2y)
⟹      4pxy = (2x) x  (4y)
⟹      4pxy = 8xy
⟹         p  = 2

7.

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 10 cm, 5 cm and 6 cm respectively. What is the length of BC?

• 9 cm

• 2 cm

• 3 cm

• 11 cm

A.

9 cm

8.

(cos A + sin A)2 + (cos A - sin A)2 equals to

• 1

• 2

• 0

C.

2

[cos A + sin A]2 + [cos A - sin A]2
= cos2A + sin2A + 2cosAsinA + cos2A  +sin2A - 2cosA sinA
= 1 + 1 = 2

9.

If Girilal's salary is  times of Hariram's and Shekhar's is  times of Hariram's, What is the ratio of Girilal's salary to Shekhar's salary.

• 44 : 21

• 28 : 33

• 33 : 28

• 21 : 44

A.

44 : 21

Girilal =
7Girilal = 11 Hariram
∴   Girilal : Hariram = 11 : 7    ...(i)

Hariram : Shekhar = 4 : 3       ...(ii)
∴  Girilal : Hariram : Shekhar = 11 x 4 : 7 x 4 : 7 x 3
= 44 : 28 : 21

10.The curved surface area of a hemisphere is 2772 cm2 and volume is 19404 cm3, what is its radius? 42 cm 21 cm 10.5 cm 31.5 cm

B.

21 cm

Let the radius of a hemisphere = r cm
According to the question,