Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

55.

If the ratio of the cost price and the selling price of an article be 4 : 5, then the percentage of profit is 

  • 27 1 half percent sign

  • 25%

  • 15%

  • 10%


B.

25%

Let the cost price of article  = 4x
           selling price of article  = 5x
therefore space space Profit space percentage space equals space fraction numerator 5 straight x minus 4 straight x over denominator 4 straight x end fraction cross times space 100 space equals space 25 percent sign
 

40 Views

51.

A and B together can complete a work in 24 days. B alone does 1 third rd part of this work in 12 days. How many days will A alone take to complete the remaining work?

  • 24

  • 36

  • 48

  • 72


C.

48

B's complete 1 third rd work in 12 days.
∴ Remaining work  = 1 minus 1 third space equals space 2 over 3
∴ B complete the whole work in (12 x 3) = 36 days
(A + B) complete the whole work in 24 days.
∴  A complete the whole work in open parentheses Product over Difference close parentheses space equals space open parentheses fraction numerator 36 space cross times space 24 over denominator 12 end fraction close parentheses space equals space 72 space days
∴  A will complete the remaining work (2/3) in:
                 equals space 2 over 3 space cross times space 72 space equals space 48 space days 




81 Views

59.

If straight x space plus space 1 over straight x space equals space 5 comma then find the value of fraction numerator 6 straight x over denominator straight x squared plus straight x plus 1 end fraction is

  • 3

  • 2

  • 1

  • 0


C.

1

straight x space plus space 1 over straight x space equals space 5 space space left parenthesis given right parenthesis..... space left parenthesis straight i right parenthesis
fraction numerator 6 straight x over denominator straight x squared plus straight x plus 1 end fraction 
Divide the numerator and denominator by x
equals space fraction numerator 6 over denominator straight x plus begin display style 1 over straight x end style plus 1 end fraction
equals space fraction numerator 6 over denominator 5 plus 1 end fraction space equals space 6 over 6 space equals space 1

40 Views

52.

The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2 : 1. The ratio of their volume is

  • 4 : 3

  • 3 : 4

  • 2 : 1

  • 1 : 2


A.

4 : 3

fraction numerator Volume space of space cone over denominator Volume space of space cylinder end fraction space equals space fraction numerator begin display style 1 third πr subscript 1 squared straight h subscript 1 end style over denominator begin display style 1 third πr subscript 2 squared straight h subscript 2 end style end fraction
                As h1 = h2
 equals space 1 third cross times space open parentheses straight r subscript 1 over straight r subscript 2 close parentheses squared space cross times space straight h subscript 1 over straight h subscript 2
equals space 1 third space cross times space open parentheses 2 over 1 close parentheses squared space equals space 4 over 3

59 Views

58.

If square root of 3 to the power of straight n end root space equals space 2187 comma then the value of n is

  • 13

  • 14

  • 15

  • 16


B.

14

square root of 3 to the power of straight n end root space equals space 2187
rightwards double arrow space left parenthesis 3 right parenthesis to the power of straight n over 2 end exponent space equals space left parenthesis 3 right parenthesis to the power of 7
rightwards double arrow space space space straight n over 2 space equals space 7
therefore space space space space straight n space equals space 14
space

61 Views

60.

Which one of the following combination of measurements can form the sides of a triangle?

  • 9 cm,  6cm,  2cm

  • 11 cm, 3 cm, 12 cm

  • 3 cm,  5cm,  8cm

  • 5cm,  7cm,  13cm


B.

11 cm, 3 cm, 12 cm

As per triangle inequality property, Sum of any two sides of a triangle is greater than the third side.
(11 + 3) > 12.
(14) > 12.

49 Views

54.

A school has 8 periods of 45 min each, every day. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

  • 40 min

  • 35 min

  • 30 min

  • 45 min


A.

40 min

M1D1H1 = M2D2H2
 1 x 8 x 45 = 1 x 9 x H2
H2 = 40 min

45 Views

57.

A boat moves downstream at the rate of 8 km/hr and upstream at 4 km/hr. The speed of the boat in still water is:

  • 4.5 km/hr

  • 5 km/hr

  • 6 km/hr

  • 6.4 km/hr


C.

6 km/hr

Speed of boat in still water:
   equals space 1 half left parenthesis speed space downstream space plus space speed space upstream right parenthesis
equals space 1 half left parenthesis 8 space plus space 4 right parenthesis space equals space 6 space km divided by hr

123 Views

53.

A shopkeeper marks his goods 50% more than the cost price and allows a discount of 25%. His profit or loss percentage is:

  • 37.5%

  • 25.5%

  • 12.5%

  • 25%


C.

12.5%

Net percentage:
open parentheses straight x space plus space straight y space plus space xy over 100 close parentheses percent sign
 open parentheses 50 space minus space 25 space plus space fraction numerator 50 space cross times space left parenthesis negative 25 right parenthesis over denominator 100 end fraction close parentheses space equals space 25 space minus space 12.5 percent sign space equals space 12.5 percent sign

42 Views

56.

In an ornament the ratio of gold and copper is 3 : 2. The percentage of gold in the ornament is

  • 60%

  • 40%

  • 30%

  • 20%


A.

60%

Percentage of gold in the ornament
                 equals space fraction numerator 3 over denominator left parenthesis 3 plus 2 right parenthesis end fraction space cross times space 100
equals space 3 over 5 space cross times space 100 space equals space 60 percent sign

87 Views