Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

54.

A certain sum of money was divided between A, B and C in the ratio 5 : 6 : 9. If A received â‚¹ 450/-, the sum divided was:

  • ₹ 2,000/-

  • ₹ 1,800/-

  • ₹ 2,250/-

  • ₹ 1,000/-


B.

₹ 1,800/-

A's received = â‚¹ 450 i.e. 90 times of its ratio  = 90 x 5 = ₹ 450
B's received = 90 times of its ratio = 90 x 6 = â‚¹ 540
C's received = 90 times of its ratio = 90 x 9 = â‚¹ 810
∴ Total sum divided  = â‚¹ (450 + 540 + 810) = â‚¹ 1,800

59 Views

56.

The weights of two iron balls are 3.5 kg and 7.5 kg. What is the percentage weight of the first ball with respect to second ball?

  • 46 2 over 3 percent sign

  • 35%

  • 46 1 third percent sign

  • 45%


A.

46 2 over 3 percent sign

85 Views

51.

A and B together finish a job in 24 days, While A, B and C together can finish the same job in 8 days. C alone will finish the work in

  • 12 days

  • 14 days

  • 16 days

  • 24 days


A.

12 days

Shortcut Method:
C alone can do the work in:
equals space Product over Difference space equals space open parentheses fraction numerator 24 space cross times space 8 over denominator 16 end fraction close parentheses space equals space 12 space days

84 Views

53.

The original price of a TV set is â‚¹6,000/-. If the price is discounted by 20% and then raised by 10% for service contract, the price charged by the shopkeeper is

  • ₹ 5,400

  • ₹ 5,280

  • ₹ 5,100

  • ₹ 4,200


B.

₹ 5,280

Price of T.V.:
  equals space 6000 space cross times space 80 over 100 space cross times 110 over 100 space equals space space ₹ space 5 comma 280 divided by negative

53 Views

58.

The value of fraction numerator straight a over denominator straight a minus straight b end fraction space plus space fraction numerator straight b over denominator straight b minus straight a end fraction is

  • fraction numerator left parenthesis straight a plus straight b right parenthesis over denominator left parenthesis straight a minus straight b right parenthesis end fraction

  • -1

  • 2ab

  • 1


D.

1

fraction numerator straight a over denominator straight a minus straight b end fraction space plus space fraction numerator straight b over denominator straight b minus straight a end fraction
Take (-) common from second part,
rightwards double arrow space space fraction numerator straight a over denominator straight a minus straight b end fraction space minus space fraction numerator straight b over denominator straight a minus straight b end fraction
rightwards double arrow fraction numerator straight a minus straight b over denominator straight a minus straight b end fraction space equals space 1

44 Views

59.

The value of left parenthesis 1 minus square root of 2 right parenthesis space plus space left parenthesis square root of 2 minus square root of 3 right parenthesis space plus space left parenthesis square root of 3 space minus space square root of 4 right parenthesis space plus space..... plus left parenthesis square root of 15 minus square root of 16 right parenthesis space is:

  • 0

  • 1

  • -3

  • 4


C.

-3

1 minus square root of 2 space plus space square root of 2 space minus space square root of 3 space plus space square root of 3 space minus space square root of 4 plus....... plus square root of 15 minus square root of 16
equals space 1 space minus space square root of 16 space equals space 1 space minus space 4 space equals space minus 3

57 Views

60.

Δ ABC and Δ DEF are two similar triangles and the perimeter of ΔABC and ΔDEF are 30 cm and 18 cm respectively.  If length of DE = 36 cm, then the length of AB is

  • 60 cm

  • 40 cm

  • 45 cm

  • 50 cm


A.

60 cm

As Δ ABC and Δ DEF are similar, 
∴   Ratio their perimeter will be equal to ratio of their sides.
fraction numerator Perimeter space of space increment ABC over denominator Perimeter space of space increment DEF end fraction space equals space AB over DE
      30 over 18 space equals space AB over 36
AB space equals space 60 space cm

129 Views

52.

Area of the circle inscribed in a square of diagonal 6 square root of 2 space cm (in cm2) is

  • 9 straight pi

  • 6 straight pi

  • 3 straight pi

  • 9 square root of 2 space straight pi


A.

9 straight pi

Diagonal of square:
  square root of 2 straight a space equals space 6 square root of 2
straight a space equals space 6 space cm
Diameter of a circle = Side of square (a) = 6 cm
∴   Radius of circle = (6/2) = 3 cm
∴   Area of circle: 
               equals space πr squared space equals space straight pi cross times space left parenthesis 3 right parenthesis squared space equals space 9 straight pi space cm squared





 

66 Views

55.

By selling a bag at â‚¹ 230/-, profit of 15% is made. The selling price of the bag, when it is sold at 20% profit would be:

  • ₹ 250/-

  • ₹ 205/-

  • ₹ 240/-

  • ₹ 200/-


C.

₹ 240/-

Cost price of a bag
   space equals 230 space cross times space 100 over 115
equals space ₹ space 200 divided by negative
∴ New selling price of a bag
    space equals space 200 space cross times 120 over 100
equals space ₹ space 240 divided by negative

48 Views

57.

A bus travels at the speed of 36 km/hr, then the distance covered by it in one second is:

  • 10 m

  • 15 m

  • 12.5 m

  • 13.5 m


A.

10 m

Speed = 36 km/hr
Speed = 36 x (5/18) m/sec = 10 m/sec
Time  = 1 sec.
Distance  = Speed x Time  = 10 x 1 = 10 m
     

59 Views