Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

57.

A train, 200 m long is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross a 175 m long bridge is:

  • 12.5

  • 20

  • 25

  • 10


C.

25

Total distance = (200 + 175) m  = 375 m
Speed  = 54 km/hr = 54 space cross times space 5 over 18 space straight m divided by sec
Time space equals space fraction numerator Total space Distance over denominator Speed end fractionRequired space time space equals space fraction numerator 375 over denominator 54 space cross times space 5 end fraction space cross times space 18 space equals space 25 space sec

66 Views

56.

If (23)2 = 4x, then 3x is equal to

  • 3

  • 6

  • 9

  • 27


D.

27

(23)2 = 4x
 ⟹   (2)6 = 22x
 ⟹   6 = 2x
⟹    x = 3
∴    3x = 33 = 27

54 Views

58.

Which of the following ratios can be the ratio of the sides of a right-angled triangle?

  • 9 : 6 : 3

  • 13 : 12 : 5

  • 7 : 6 : 5

  • 5 : 3 : 2


B.

13 : 12 : 5

H2 = P2 + B2
(13)2 = (12)2 + (5)2
⟹ 169 = 169

68 Views

59.

Number of circles that can be drawn through the non-collinear points is:

  • exactly one

  • two

  • three

  • more than three


A.

exactly one

85 Views

55.

In a motor of 120 machine parts, 5% parts were defective. In another motor of 80 machine parts, 10% parts were defective. For the two motors considered together, the percentage of defective machine parts were:

  • 7%

  • 6.5%

  • 7.5%

  • 8%


A.

7%

The defective parts in a motor of 120 machine parts:
                 equals space 120 space cross times space 5 over 100 space equals space 6
The defective parts in a motor of 80 machine parts:
                 equals space 80 space cross times space 10 over 100 space equals space 8
∴    Required percentage
                           equals space fraction numerator 6 plus 8 over denominator left parenthesis 120 plus 80 right parenthesis end fraction cross times space 100 space equals space 14 over 200 space cross times space 100 space equals space 7 percent sign


78 Views

60.

Value of (cos 53° - sin 37°) is

  • 0

  • 1

  • 2sin37°

  • 2cos53°


A.

0

cos 53° - sin 37° = cos 53° - sin (90° - 53°)
                         = cos 53° - cos 53° = 0

125 Views

53.

The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the number is 

  • (5824)1/3

  • 28

  • 24

  • 14


B.

28

Let the numbers be 3x and 4x respectively.
According to the question,
   (3x)3 + (4x)3 = 5824
   27x3 + 64x3 = 5824
     91x3 = 5824
       x3 = 64   
     ⟹  x = 4
∴       Sum of the numbers = 3x + 4x = 7x = 7 x 4 = 28


    

138 Views

54.

Loss of 20% on selling price is equal to x% loss in cost price. What is x?

  • 20

  • 25

  • 16 2 over 3
  • 16


C.

16 2 over 3

Loss on S.P. = 20% =  open parentheses 20 over 100 close parentheses space equals space 1 fifth
Loss on C.P. = open parentheses fraction numerator 1 over denominator 5 plus 1 end fraction close parentheses space equals space 1 over 6
% Loss on C.P. = open parentheses 1 over 6 cross times space 100 close parentheses space equals space 50 over 3 space equals space 16 2 over 3 percent sign

91 Views

52.

A dealer makes a washing machine for ₹ 7,500/- and allows a discount of 6% on it. Find the selling price.

  • ₹ 6,850/-
  • ₹ 7050/-

  • ₹ 7250/-

  • ₹ 6950/-


B.

₹ 7050/-

Selling price of washing machine
            equals space 7500 space cross times space 94 over 100
equals space ₹ space 7 comma 050 divided by negative

49 Views

51.

A, B and C contract a work for ₹ 440/-. Together A and B are to do 9 over 11 of the work. The share of C should be:

  • ₹ 75/-
  • ₹ 90/-
  • ₹ 100/-
  • ₹ 80/-


D.

₹ 80/-

Work done by A and B equals space 9 over 11
Work done by C = 1 minus 9 over 11 space equals space 2 over 11
∴  Share of C
      equals space 2 over 11 space cross times space 440 space equals space ₹ space 80 space divided by negative

92 Views