Subject

Quantitative Aptitude

Class

SSCCHSL Class 12

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 Multiple Choice QuestionsMultiple 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:
             equals space 875000 over 4175 space equals space 20.96 percent sign


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
                  equals space 45 over 60 space equals space 9 over 12 space equals space 3 over 4 space equals space 0.75
               

 


3.

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


B.

fraction numerator 1 over denominator square root of 3 end fraction

tan open parentheses negative fraction numerator 5 straight pi over denominator 6 end fraction close parentheses space equals space minus tan open parentheses fraction numerator 5 straight pi over denominator 6 end fraction close parentheses
space space space space space space space space space space space space space space space space equals space minus tan open parentheses fraction numerator 5 space cross times space 180 over denominator 6 end fraction close parentheses
space space space space space space space space space space space space space space space equals space space minus space tan space 150 degree space equals space minus open parentheses negative fraction numerator 1 over denominator square root of 3 end fraction close parentheses space equals space fraction numerator 1 over denominator square root of 3 end fraction


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 open parentheses straight alpha space plus space straight beta close parentheses is given by,
                         equals negative straight b over straight a space equals space fraction numerator negative left parenthesis negative 5 right parenthesis over denominator 1 end fraction space equals space 5


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

As space increment ADE space tilde space increment ABC comma
  rightwards double arrow space space space AD over AB space equals space DE over BC
rightwards double arrow space space fraction numerator 10 over denominator 10 plus 5 end fraction space equals space 6 over BC
therefore space space space space BC space equals space fraction numerator 6 space cross times space 15 over denominator 10 end fraction space equals space 9 space cm
                 


8.

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

  • 1

  • 1 half

  • 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 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


A.

44 : 21

Girilal = 11 over 7 space cross times space Hariram
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? 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