Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

3.

A sum of Rs. 7,930 is divided into three parts and given on loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of

  • Rs. 3,050

  • Rs. 2,760

  • Rs. 2,750

  • Rs. 2,800


B.

Rs. 2,760

(100 + 5 x 2)% of A = (100 + 5 x 3)% of B = (100 + 5 x 4)% of C
110% of A = 115% of B = 120% of C = k(Let)
therefore space space straight a space colon space straight b space colon space straight c space equals space 1 over 110 space colon space 1 over 115 space colon space 1 over 120
space equals space 1 over 22 space colon space 1 over 23 space colon space 1 over 24 space equals space 23 space cross times space 24 space colon space 22 space cross times space 24 space colon space 22 space cross times space 23
∴  Loan received by A
  equals space fraction numerator 23 space cross times space 24 over denominator 1586 end fraction cross times 7930 space equals space ₹ 2760

1243 Views

4.

A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is

  • 3

  • 8

  • 9

  • 1


C.

9

Shortcut Method:
Divide the remainder 47 by 19 i.e. Required remainder = 9

259 Views

7.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

The total production of Type P vehicles in the years 2009 and 2011 is what percent of total production of Type Q vehicles in 2010 and 2014?

  • 75

  • 69.25

  • 80

  • 81.25


C.

80

Total production of type P vehicles in 2009 and 2011
  = 100 + 200 = 300 thousands
Total production of type Q vehicles in 2010 and 2014
 = 150 + 225 = 375 thousands
∴  Required percent
    equals space fraction numerator 300 over denominator 375 space end fraction cross times space 100 space equals space 80 percent sign

161 Views

1.

Average of n numbers is a. The first number is increased by 2, second one is increased by 4, third one is increased by 8 and so on. The average of the new numbers is

  • straight a space plus space fraction numerator 2 to the power of straight n minus 1 end exponent minus 1 over denominator straight n end fraction
  • straight a plus 2 fraction numerator 2 to the power of straight n minus 1 over denominator straight n end fraction
  • straight a plus 2 to the power of straight n minus 1 end exponent over straight n
  • straight a plus fraction numerator 2 to the power of straight n minus 1 over denominator straight n end fraction

B.

straight a plus 2 fraction numerator 2 to the power of straight n minus 1 over denominator straight n end fraction

Sum of new numbers
    = na + (2 + 4 + 8  + 16 +......n)
therefore space space straight S space equals space fraction numerator straight a left parenthesis straight r to the power of straight n minus 1 right parenthesis over denominator straight r minus 1 end fraction space equals space fraction numerator 2 left parenthesis 2 to the power of straight n minus 1 right parenthesis over denominator 2 minus 1 end fraction space equals space 2 left parenthesis 2 to the power of straight n minus 1 right parenthesis
∴   New average 
equals space fraction numerator na plus 2 left parenthesis 2 to the power of straight n minus 1 right parenthesis over denominator straight n end fraction
equals space straight a plus 2 fraction numerator left parenthesis 2 to the power of straight n minus 1 right parenthesis over denominator straight n end fraction

786 Views

6.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

Approximate percentage decrease in production of Type Q vehicles from 2010 to 2011 is

  • 10.1

  • 16.7

  • 14.3

  • 12.5


B.

16.7

Required percentage decrease

equals space open parentheses fraction numerator 150 minus 125 over denominator 150 end fraction close parentheses space cross times space 100
equals space 25 over 150 space cross times space 100 space equals space 50 over 3 space equals space 16.7 percent sign

161 Views

10.

A man starts from a place P and reaches the place Q in 7 hours. He travels 1 fourth th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance between P and Q is

  • 72 km

  • 90 km

  • 80 km

  • 70 km


C.

80 km

Let the total distance be 4x km.
Time = fraction numerator Distance space travelled over denominator Speed end fraction
According to the question
straight x over 10 plus fraction numerator 3 straight x over denominator 12 end fraction space equals space 7
space rightwards double arrow space space straight x over 10 space plus space straight x over 4 space equals space 7
rightwards double arrow space space fraction numerator 2 straight x plus 5 straight x over denominator 20 end fraction space equals space 7
rightwards double arrow space space 7 straight x space equals space 7 space cross times space 20
therefore space space space straight x space equals space fraction numerator 7 space cross times space 20 over denominator 7 end fraction space equals space 20 space km.
∴ Total distance travelled  = 4x = 4 x 20 = 80 km.

501 Views

2.

Let straight x space equals space fraction numerator square root of 13 space plus space square root of 11 over denominator square root of 13 space minus square root of 11 end fraction and straight y space equals space 1 over straight x comma then the value of 3 straight x squared space minus space 5 xy space plus space 3 straight y squared is

  • 1717

  • 1177

  • 1771

  • 1171


A.

1717

straight x space equals space fraction numerator square root of 13 minus square root of 11 over denominator square root of 13 space plus space square root of 11 end fraction space space space comma space space straight y space equals space 1 over straight x space equals space fraction numerator square root of 13 plus square root of 11 over denominator square root of 13 minus square root of 11 end fraction
straight x space plus space straight y space equals space fraction numerator square root of 13 minus square root of 11 over denominator square root of 13 plus square root of 11 end fraction space plus space fraction numerator square root of 13 plus square root of 11 over denominator square root of 13 minus square root of 11 end fraction space
space space space space space space space space space equals space fraction numerator left parenthesis 13 plus 11 right parenthesis over denominator left parenthesis 13 minus 11 right parenthesis end fraction cross times 2 space equals space 24 over 2 space cross times space 2 space equals space 24

straight x. space straight y space equals space fraction numerator square root of 13 minus square root of 11 over denominator square root of 13 space plus space square root of 11 end fraction space space cross times space fraction numerator square root of 13 space plus square root of 11 over denominator square root of 13 minus square root of 11 end fraction space equals space 1
3 straight x squared minus 5 xy plus 3 straight y squared space equals space 3 left parenthesis straight x plus straight y right parenthesis squared minus 11 xy space equals space 3 left parenthesis 24 right parenthesis squared space minus 11 space left parenthesis 1 right parenthesis space equals space 1717


 
191 Views

8.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

The ratio of total production of Type P vehicles to total production of type Q vehicles over the years is

  • 48 : 41

  • 5 : 8

  • 8 : 5

  • 41 : 48


A.

48 : 41

Total production of type P vehicles = 1200 thousands
Total production of type Q vehicles
   = 175 + 150 + 125 + 175 + 175 + 225 = 1025
∴  Required ratio = 1200 : 1025 = 48 : 41


153 Views

5.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.


In how many of the given years, was the production of Type P vehicles of the company more than the average production of this type vehicles in the given years?

  • 3

  • 4

  • 2

  • 5


A.

3

Average production of type P vehicles

equals space fraction numerator 100 plus 125 plus 200 plus 225 plus 275 plus 275 over denominator 6 plus end fraction space equals space 1200 over 6 space equals space 200 space thousands
Required years
⟹   2012, 2013 and 2014

158 Views

9.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

The production of Type Q vehicles in 2010 was approximately what percent of Type vehicles in 2014?

  • 60

  • 45.5

  • 54.5

  • 75


C.

54.5

Required percent
   equals space 150 over 275 space cross times space 100 space equals space 54.5 percent sign

191 Views