Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

60.

If straight x space equals space fraction numerator 1 over denominator left parenthesis square root of 2 plus 1 right parenthesis end fraction comma then the value of x2 + 2x - 1 is

  • 2 square root of 2

  • 4

  • 0

  • 3


C.

0

straight x space equals space fraction numerator 1 over denominator square root of 2 plus 1 end fraction
straight x space equals space fraction numerator 1 over denominator square root of 2 plus 1 end fraction space cross times space fraction numerator square root of 2 minus 1 over denominator square root of 2 minus 1 end fraction space equals space fraction numerator square root of 2 minus 1 over denominator 2 minus 1 end fraction
straight x space equals space square root of 2 minus 1
straight x squared space plus space 2 straight x space minus space 1
space equals space left parenthesis square root of 2 space minus space 1 right parenthesis squared space plus space 2 left parenthesis square root of 2 minus 1 right parenthesis space space minus space 1
space equals space 2 space plus space 1 space minus 2 square root of 2 space plus space 2 square root of 2 space minus space 2 space minus 1
space space equals space 3 space minus space 3
space space equals space 0

49 Views

59.

A money lender lends â‚¹ 400/- for 3 years to a person and lends â‚¹ 500/- for 4 years to the other person at the same rate of simple interest. If altogether he receives â‚¹ 160/- as interest, what is the rate of interest per annum?

  • 5%

  • 7%

  • 9%

  • 10%


A.

5%

Let the rate of interest  = r%
According to the question,
  160 space equals space fraction numerator 400 space cross times space 3 space cross times space straight r over denominator 100 end fraction space plus space fraction numerator 500 space cross times space 4 space cross times space straight r over denominator 100 end fraction
160 space equals space 12 straight r space plus space space 20 straight r
160 space equals space 32 straight r
space space straight r space equals space 160 over 32
therefore space space straight r space equals space 5 percent sign

75 Views

55.

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

  • 10

  • 12

  • 14

  • 16


D.

16

According to the question,
fraction numerator 7 plus 5 plus 13 plus straight x plus 9 over denominator 5 end fraction space equals space 10
34 space plus space straight x space equals space 50
straight x space equals space 50 space minus space 34 space equals space 16

64 Views

56.

A man sells an article at 15% profit. If he had sold it for â‚¹ 6/- more, he would have gained 18%. The main bought the article for

  • 100

  • 150

  • 200

  • 250


C.

200

Difference  = (18% - 15%) = 3% .
According to the question,
3% of C.P. = 6
C.P. = Rs. 200

62 Views

54.

Ratio of A's age to B's age is 4 : 3. 'A' will be 26 years old after 6 years. The age of B now is:

  • 2 years

  • 12 years

  • 21 years

  • 15 years


D.

15 years

A's age before 6 years  = (26 - 6) = 20 years
A : B = 20 : x
4 : 3 = 20 : x
x = 15 years.

73 Views

51.

square root of 9 plus 2 square root of 16 plus cube root of 512 end root space equals space ?

  • 6

  • 5

  • 2 square root of 8

  • 3 square root of 6


B.

5

square root of 9 plus 2 square root of 16 plus cube root of 512 end root
equals space square root of 9 plus 2 cross times 4 space plus space 8 end root
equals space square root of 9 space plus space 8 space plus space 8 space end root space equals space square root of 25 space equals space 5

99 Views

58.

A car moving in the morning fog passes a man walking at 4km/h in the same direction. The man can see the car for 3 min and visibility is upto a distance of 130 m. The speed of the car is:

  • 7 3 over 5 km divided by hr

  • 6 3 over 5 km divided by hr

  • 7 km/hr

  • 5 km/hr


B.

6 3 over 5 km divided by hr

Let the speed of the car = x km/hr.,  Speed of man = 4 km/hr (given)
As they are moving in same direction,
 ∴    Relative speed  = (x - 4)  km/hr   
Distance  = (130/1000) km
Time  = 3 min = (3 / 60) km.
Now,
Time space equals space Distance over Speed
  3 over 60 space equals space 130 over 1000 space cross times space fraction numerator 1 over denominator left parenthesis straight x minus 4 right parenthesis end fraction
1 over 20 space equals space fraction numerator 13 over denominator 100 left parenthesis straight x minus 4 right parenthesis end fraction
5 straight x minus 20 space equals space 13
straight x space equals space 33 over 5
straight x space equals space 6 3 over 5 space km divided by hr

242 Views

57.

A' salary was decreased by 50% and subsequently increased by 50%. How much percent does he lose?

  • 25%

  • 50%

  • 12 1 half percent sign

  • No loss


A.

25%

Net percentage change:
equals space open parentheses straight x space plus space straight y space plus space xy over 100 close parentheses
equals space open parentheses 50 space plus space left parenthesis negative 50 right parenthesis space plus space fraction numerator left parenthesis 50 right parenthesis thin space left parenthesis negative 50 right parenthesis over denominator 100 end fraction close parentheses
space equals space minus 25 percent sign

77 Views

53.

A dishonest shopkeeper professes to sell goods at his cost price but uses a false weight of 950 gm for each kilogram. His gain percentage is:

  • 2 1 over 8 percent sign

  • 5 5 over 19 percent sign

  • 10%

  • 2 4 over 11 percent sign


B.

5 5 over 19 percent sign

Required gain percentage:
equals space open parentheses fraction numerator 1000 minus 950 over denominator 950 end fraction space cross times 100 close parentheses
equals space 50 over 950 space cross times space 100 space equals space 100 over 19 space equals space 5 5 over 19 percent sign

66 Views

52.

The lengths of diagonals of a rhombus are 24 cm and 10 cm, the perimeter of the rhombus (in cm) is:

  • 52

  • 56

  • 68

  • 72


A.

52

Side of a rhombus
        equals space space 1 half square root of left parenthesis 24 right parenthesis squared space plus space left parenthesis 10 right parenthesis squared end root
equals space 1 half square root of 576 space plus space 100 end root
equals space 1 half square root of 676 space equals space 1 half space cross times space 26 space equals space 13 space cm
∴  Perimeter of rhombus  = 4 x side  = 4 x 13 = 52 cm

70 Views