The curved surface area of a hemisphere is 2772 cm2 and volume is

Subject

Quantitative Aptitude

Class

SSCCHSL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

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


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


3.

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


4.

If Girilal's salary is 11 over 7 times of Hariram's and Shekhar's is 3 over 4 times of Hariram's, What is the ratio of Girilal's salary to Shekhar's salary.

  • 44 : 21

  • 28 : 33

  • 33 : 28

  • 21 : 44


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5.

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

  • 1

  • 2

  • 0


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6.

The curved surface area of a hemisphere is 2772 cm2 and volume is 19404 cm3, what is its radius? left parenthesis Take space straight pi space equals space 22 over 7 right parenthesis

  • 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,
 rightwards double arrow space space space space 2 over 3 πr cubed space equals space 19404
rightwards double arrow space space space space space space straight r cubed space equals space fraction numerator 19404 space cross times space 3 space cross times space 7 over denominator 2 space cross times space 22 end fraction
rightwards double arrow space space space space space straight r cubed space equals space 9261 space rightwards double arrow space space straight r space equals space 21 space cm

 


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7.

What is the value of tan space open parentheses negative fraction numerator 5 straight pi over denominator 6 end fraction close parentheses ?

  • negative fraction numerator 1 over denominator square root of 3 end fraction

  • fraction numerator 1 over denominator square root of 3 end fraction

  • square root of 3

  • negative square root of 3


8.

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

  • 0.5

  • 0.25

  • 4

  • 2


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9.

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


10.

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 %


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