Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

54.

A profit of Rs 960 is divided between A and B in the ratio 1 third colon 1 fifth. The difference of their profit is

  • ₹ 120/-

  • ₹ 160/-

  • ₹ 180 /- 

  • ₹ 240 /-


D.

₹ 240 /-

A: B = 1 third colon 1 fifth space equals space 5 thin space colon space 3
therefore Required difference  = 960 space cross times space fraction numerator left parenthesis 5 minus 3 right parenthesis over denominator 8 end fraction space equals space 120 space cross times space 2 space equals space 240

147 Views

58.

A moving train passes a platform 50 m long in 14 sec and a lamp post in 10 sec. The speed of the train (in km/h) is

  • 24

  • 36

  • 40

  • 45


D.

45

Let the speed of the train = x m/sec
 therefore Length of the train  = space straight x space cross times space 10 space equals space 10 straight x
 Now, according to question train crosses a platform in 14 sec..
Therefore, 
   The speed of the train = straight x space equals space fraction numerator 10 straight x plus 50 over denominator 14 end fraction
   rightwards double arrow space 14 straight x space equals space 10 straight x space plus space 50
rightwards double arrow space space 4 straight x space equals space 50
rightwards double arrow space straight x space equals space 50 over 4 space cross times space 18 over 5
rightwards double arrow space straight x space equals space 45 space km divided by straight h

789 Views

59.

If straight x squared plus 1 over straight x squared equals space space 2 comma space then the value of straight x minus 1 over straight x is

  • -2

  • 0

  • 1

  • -1


B.

0

straight x squared plus 1 over straight x squared space equals space 2
Subtract 2 both sides,
   straight x squared plus 1 over straight x squared minus 2 space equals space 2 minus 2 space equals space 0
open parentheses straight x minus 1 over straight x close parentheses squared space equals space 0
straight x minus 1 over straight x space equals space 0
93 Views

53.

A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of ₹ 40/-, then how many metres of cloth costing ₹ 32 per metre he should purchase?

  • 6 m

  • 5 m

  • 10 m

  • 7 m


B.

5 m

Let x metre of cloth will be purchased.
 According to the question,
 straight x space cross times space 32 space cross times space 25 over 100 space equals space 40
straight x space cross times space 8 space equals space 40
space space space space space straight x space equals space 5 space straight m

334 Views

52.

The area of a rectangle is 60 cm2 and its perimeter is 34 cm, then the length of the diagonal is

  • 17 cm

  • 11 cm

  • 15 cm

  • 13 cm


D.

13 cm

Follow Golden Rule:
 open parentheses straight P over 2 close parentheses squared space equals space straight D squared space plus space 2 straight A
                            [Here, P denotes Perimeter, D denotes Diagonal and A denotes Area].

open parentheses 34 over 2 close parentheses squared space equals space straight D squared plus 2 cross times 60
left parenthesis 17 right parenthesis squared space equals space straight D squared plus 120
289 space equals space straight D squared space plus space 120
289 minus 120 space equals space straight D squared
169 space equals space straight D squared
straight D space equals space 13

210 Views

55.

The average monthly salary of 19 members of a group is ₹ 16000/-. If one more members whose monthly salary is ₹ 20000/- has joined the group, then the average salary of the group is

  • ₹ 18,250

  • ₹ 16,200

  • ₹ 18,000

  • ₹ 16,250


B.

₹ 16,200

Total monthly salary of 19 members  = 16000 x 19 = ₹ 3,04,000/-
Total monthly salary of 20 members = 304000 + 20000 = ₹ 324000/-
∴ Average monthly salary of 20 members = 324000 over 20 = ₹ 16,200/-

183 Views

51.

If the sum of a number and its reciprocal be 2, then the number is

  • 0

  • 1

  • -1

  • 2


B.

1

Let the number  = x
According to the question
              straight x plus 1 over straight x space equals space 2
space space space rightwards double arrow space space straight x squared plus 1 space equals space 2 straight x
space rightwards double arrow space space straight x squared plus 1 minus 2 straight x space equals space 0 space space space rightwards double arrow space space space space space left parenthesis straight x minus 1 right parenthesis squared space equals space 0
rightwards double arrow space space space left parenthesis straight x minus 1 right parenthesis space equals space 0 space space space space rightwards double arrow space space space straight x space equals space 1

235 Views

60.

If pq left parenthesis straight p plus straight q right parenthesis space equals space 1 comma spacethen the value of fraction numerator 1 over denominator straight p cubed straight q cubed end fraction minus straight p cubed minus straight q cubed is equal to

  • 1

  • 2

  • 3

  • 4


C.

3

pq left parenthesis straight p plus straight q right parenthesis space equals space 1 space space space space space space space space space space space space space space space space space space space space space space space space space space... left parenthesis straight i right parenthesis
space space space space 1 over pq space equals space straight p plus straight q
space space space space fraction numerator 1 over denominator straight p cubed straight q cubed end fraction space equals space straight p cubed plus straight q cubed plus 3 pq left parenthesis straight p plus straight q right parenthesis
space space space space fraction numerator 1 over denominator straight p cubed straight q cubed end fraction space equals space straight p cubed plus straight q cubed plus 3 space cross times space 1 space space space space space space space space space left square bracket From space equation space left parenthesis straight i right parenthesis right square bracket
space space space fraction numerator 1 over denominator straight p cubed straight q cubed end fraction space equals space straight p cubed minus straight q cubed space equals space 3
106 Views

57.

The price of an article is decreased by 10%. To restore it to its former value, the new price must be increased by

  • 9 1 over 11 percent sign
  • 10%

  • 11%

  • 11 1 over 9 percent sign

D.

11 1 over 9 percent sign

Use shortcut method:
   open parentheses fraction numerator 10 over denominator 100 minus 10 end fraction cross times 100 close parentheses percent sign space equals space open parentheses 10 over 90 cross times 100 space equals space 11 1 over 9 percent sign close parentheses

127 Views

56.

A T.V was sold at a profit of 5% If it had been sold at a profit of 10%, the profit would have been ₹ 1000/- more. What is its cost price?

  • ₹ 20,000

  • ₹ 5,000

  • ₹ 10,000

  • ₹ 15,000


A.

₹ 20,000

Use shortcut method:
  Required cost price  = fraction numerator 1000 over denominator 10 minus 5 end fraction cross times 100 space equals space 1000 over 5 cross times 100 space equals space ₹ space 20 comma 000

155 Views