Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

55.

Sum of two numbers is thrice their difference. Their ratio is 

  • 1 : 2

  • 2 : 1

  • 3 : 1

  • 1 : 3


B.

2 : 1

Let two numbers be x and y.
According to the question,
   x + y = 3 (x - y)
   x + y = 3x - 3y
    2x = 4y
    x = 2y
 ∴ x : y = 2 : 1

155 Views

58.

A's salary is 50% more than that of B. Then B's salary is less than that of A by:

  • 50%

  • 33 1 third percent sign

  • 33 1 fourth percent sign

  • 44 1 half percent sign


B.

33 1 third percent sign

Required Percentage:
open square brackets fraction numerator straight R over denominator left parenthesis 100 plus straight R right parenthesis end fraction cross times space 100 close square brackets percent sign
equals space fraction numerator 50 over denominator 100 plus 50 end fraction space cross times space 100 space equals space 50 over 150 space cross times space 100
equals space 33 1 third percent sign

126 Views

53.

Two adjacent sides of a parallelogram are 21 cm and 20 cm. The diagonal joining the end points of these two sides is 29 cm. The area of the parallelogram (in sq cm) is

  • 240

  • 120

  • 210

  • 420


D.

420


In ΔBDC,
    straight s space equals space fraction numerator straight a space plus space straight b space plus space straight c over denominator 2 end fraction space equals space fraction numerator 21 plus 20 plus 29 over denominator 2 end fraction space equals space 70 over 2 space equals space 35 space cm
Area of ΔBDC
     space equals space square root of straight s left parenthesis straight s minus straight a right parenthesis thin space left parenthesis straight s minus straight b right parenthesis thin space left parenthesis straight s minus straight c right parenthesis end root
equals space square root of 35 space left parenthesis 35 space minus space 21 right parenthesis thin space left parenthesis 35 space minus space 29 right parenthesis space left parenthesis 35 space minus space 20 right parenthesis end root
equals space square root of 35 space cross times space 14 space cross times space 6 space cross times space 15 end root
equals space square root of 5 space cross times 7 space cross times space 7 space cross times space 2 space cross times space 2 space cross times space 3 space cross times space 5 space cross times space 3 end root
equals space 5 space cross times space 7 space cross times space 2 space cross times space 3
equals space 210 space cm squared
∴ Area of || gm ABCD =  2 x Area ΔBDC
                                = 2 x 210 = 420 cm2
    

133 Views

56.

The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is

  • 31 years

  • 51 years

  • 36 years

  • 50 years


B.

51 years

Required Teacher's age = 37(14 + 1) - 36 x 14
                                  = 37 x 15 - 36 x 14
                                  = 555 - 504
                                  = 51 years

61 Views

54.

A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is

  • 4%

  • 6%

  • 10%

  • 12%


C.

10%

Shortcut Method:

rightwards double arrow space fraction numerator left parenthesis 100 space plus space Profit right parenthesis over denominator left parenthesis 100 space plus space add space on space percent sign right parenthesis end fraction space cross times space 100 space minus space 100
rightwards double arrow space fraction numerator left parenthesis 100 plus 8 right parenthesis over denominator left parenthesis 100 plus 20 right parenthesis end fraction space cross times 100 space minus space 100
rightwards double arrow space space 108 over 120 space cross times space 100 space minus space 100
rightwards double arrow space space space space 90 space minus space 100 space equals space minus 10 percent sign

69 Views

60.

If the simple interest on Rs 1/- for 1 month is 1 paisa, then the rate percent per annum will be:

  • 10%

  • 8%

  • 12%

  • 6%


C.

12%

Principal = Rs. 1.
Simple interest  = 1 paisa = (1/100)
Time  = 1 month = (1/12) yr
According to the question,
straight I space equals space PRT over 100
1 over 100 space equals space fraction numerator 1 space cross times space straight r space cross times space 1 over denominator 100 space cross times space 12 end fraction
space space straight r space equals space 12 percent sign
   

94 Views

59.

Speed of a boat along and against the current are 14 km/hr and 8 km/hr respectively. The speed of the current is

  • 11 km/hr

  • 6 km/hr

  • 5.5 km/hr

  • 3 km/hr


D.

3 km/hr

Speed downstream  = 14 km/hr
Speed upstream = 8 km/hr
Speed of current
                 equals space 1 half left parenthesis 14 minus 8 right parenthesis space equals space 3 space km divided by hr

136 Views

57.

A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gm for the kilogram weight. His gain in percentage is

  • 17%

  • 14 5 over 7 percent sign

  • 14 2 over 7 percent sign

  • 14%


C.

14 2 over 7 percent sign

Required gain percentage:
                  open parentheses fraction numerator Actual space weight space minus space Error space percrentage over denominator Net space weight space sold end fraction space cross times space 100 close parentheses
                   equals space fraction numerator 1000 minus 875 over denominator 875 end fraction space cross times space 100
equals space 125 over 875 space cross times space 100
equals space 14 2 over 7 percent sign

52 Views

52.

A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in

  • 8 days

  • 16 days

  • 30 days

  • 32 days


B.

16 days

Shortcut Method:
  Let ABC together can finish a work in x days.
Apply shortcut:
 rightwards double arrow space space open parentheses straight x over 36 space plus space straight x over 24 space plus space straight x over 18 close parentheses space equals space 2
rightwards double arrow space space open parentheses fraction numerator 2 straight x space plus space 3 straight x space plus space 4 straight x over denominator 72 end fraction close parentheses space equals space 2
rightwards double arrow space space space open parentheses fraction numerator 9 straight x over denominator 72 end fraction close parentheses space equals space 2
space rightwards double arrow space space space straight x space equals space 16 space days 

47 Views

51.

Find the least number which must be subtracted from 18265 to make it a perfect square.

  • 30

  • 38

  • 40

  • 45


C.

40


∴ Required number to be subtracted to make it a perfect square = 40

342 Views