Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

A can finish a work in 7 days. B can finish the same work in 9 days. The days required to finish the work by both of them together

  • 1 15 over 16

  • 2 15 over 16

  • 3 15 over 16

  • 4 15 over 16


C.

3 15 over 16

A's 1 day's work  = 1 over 7
B's 1 day's work = 1 over 9
(A + B)'s 1 day's work
                         space equals space 1 over 7 space plus 1 over 9 space equals space 16 over 63
∴  (A + B) will complete the work equals space 63 over 16
                                               equals space 3 5 over 16 space days


65 Views

59.

If 2 straight x space plus space fraction numerator 1 over denominator 4 straight x end fraction space equals space 1 comma then straight x squared space plus space fraction numerator 1 over denominator 64 straight x squared end fraction is

  • 0

  • 1

  • 1 fourth

  • 2


A.

0

2 straight x space plus space fraction numerator 1 over denominator 4 straight x end fraction space equals space 1
Multiply by open parentheses 1 half close parentheses
rightwards double arrow space straight x space plus space fraction numerator 1 over denominator 8 straight x end fraction space equals space 1 half
rightwards double arrow space space straight x squared space plus space fraction numerator 1 over denominator 64 straight x squared end fraction space plus space 2 space cross times space straight x space cross times space fraction numerator 1 over denominator 8 straight x end fraction space space equals space 1 fourth
rightwards double arrow space space straight x squared space plus space fraction numerator 1 over denominator 64 straight x squared end fraction space plus space 1 fourth space equals space 1 fourth
rightwards double arrow space space space straight x squared space plus space fraction numerator 1 over denominator 64 straight x squared end fraction space equals space 0

41 Views

56.

A man goes to a place on bicycle at speed of 16 km/hr, and comes back at lower speed. If the average speed is 6.4 km/hr in total, then the return speed (in  km/hr) is

  • 10

  • 8

  • 6

  • 4


D.

4

Let the speed s1,  s2 be the speed.
Average space speed space equals space fraction numerator 2 straight s subscript 1 space straight s subscript 2 over denominator straight s subscript 1 space plus space straight s subscript 2 end fraction
    6.4 space equals space fraction numerator 2 space cross times space 16 space space cross times space straight y over denominator 16 space plus space straight y end fraction
102.4 space plus space 6.4 straight y space equals space 32 straight y
space space space space space space space space 25.6 straight y space equals space 102.4
space space space space space space space space space space space space space straight y space equals space 4 space km divided by hr.

89 Views

54.

The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is

  • 20%

  • 33 1 third percent sign

  • 25%

  • 30%


B.

33 1 third percent sign

Required Profit percentage:
 equals space open parentheses Difference over Sold space cross times space 100 close parentheses
equals space open parentheses fraction numerator left parenthesis 8 minus 6 right parenthesis over denominator 6 end fraction space cross times space 100 close parentheses
equals space 2 over 6 space cross times space 100 space equals 33 1 third percent sign

40 Views

60.

O is the ortho-centre of ΔABC, and if angle BOC space equals space 110 degree, then angle BAC will be

  • 110°

  • 70°

  • 100°

  • 90°


B.

70°


Given, O is the orthocentre,
angle BOC space equals space 110 degree
In the quadrilateral AFOE,
angle AFO space equals space angle AEO space equals space 90 degree
angle FOE space equals space angle BOC space equals space 110 degree space space space space space space left parenthesis Vertically space opposite space angles right parenthesis
Sum of four angles of a quadrilateral is 360°
angle AFO space plus space angle AEO space plus space angle FOE space plus space angle FAE space equals space 360 degree
space space 90 degree space plus space 90 degree space plus space 110 degree space plus space angle FAE space equals space 360 degree
space space space angle FAE space equals space space space space 360 degree space minus space 290 degree
space space angle FAE space equals space 70 degree
therefore space space angle FAE space equals space angle BAC space equals space 70 degree

61 Views

55.

A basket contains 300 mangoes. 75 mangoes were distributed among some students. Find the percentage of mangoes left in the basket.

  • 70%

  • 72%

  • 76%

  • 75%


D.

75%

45 Views

58.

If straight c space plus space 1 over straight c space equals space 3 comma then the value of left parenthesis straight c minus 3 right parenthesis to the power of 7 space plus space 1 over straight c to the power of 7 is

  • 2

  • 0

  • 3

  • 1


B.

0

straight c space plus space 1 over straight c space equals space 3
Subtracting (3) from both sides,
left parenthesis straight c minus 3 right parenthesis space plus space 1 over straight c space equals space 3 space minus space 3
left parenthesis straight c space minus space 3 right parenthesis space plus space 1 over straight c space equals space 0
therefore space space left parenthesis straight c minus 3 right parenthesis to the power of 7 space plus space 1 over straight c to the power of 7 space equals space 0

43 Views

57.

The simple interest on a certain sum of money at the rate of 5% per annum for 8 years is â‚¹ 840/-. Rate of interest for which the same amount of interest can be received on the same sum after 5 years is

  • 7%

  • 8%

  • 9%

  • 10%


B.

8%

According to the question,
   840 space equals space fraction numerator straight P space cross times space 5 space cross times space 8 over denominator 100 end fraction
straight P space equals space ₹ space 2 comma 100 divided by negative
Again,
840 space equals space fraction numerator 2100 space cross times space 5 space cross times space straight R over denominator 100 end fraction
straight R space equals space fraction numerator 84000 over denominator 2100 space cross times space 5 end fraction semicolon space space space straight R space equals space 8 percent sign

56 Views

53.

The ratio of number of boys and girls in a school of 720 students is 7 : 5. How many girl should be admitted to make the ratio 1 : 1.

  • 90%

  • 120%

  • 220%

  • 240%


B.

120%

Number of boys in the school
                   equals space 720 space cross times space 7 over 12 space equals space 420
Number of girls in the school
                    space equals space 720 space cross times space 5 over 12 space equals space 300
Let x girls should be admitted.
   According to the question,
rightwards double arrow space space space fraction numerator 420 over denominator 300 plus straight x end fraction space equals space 1 over 1
rightwards double arrow space space space straight x space plus space 300 space equals space 420
rightwards double arrow space space space space space space space space space space space straight x space equals space 420 space minus space 300 space equals space 120

68 Views

52.

If the successive discounts be 20%, 10% and 5%, then the single equivalent rate of discount is

  • 31.6%

  • 31.5%

  • 31%

  • 31.4%


A.

31.6%

Single equivalent  = open parentheses straight x space space plus space space straight y space plus space fraction numerator straight x. space straight y over denominator 100 end fraction close parentheses percent sign
Single equivalent 20% and 10%
                     equals space space 20 space plus space 10 space space minus space fraction numerator 20 space cross times space 10 over denominator 100 end fraction
equals space 30 space minus space 2 space equals space 28 percent sign
Single equivalent 28% and 5%
                  equals space 28 space plus space 5 space minus space fraction numerator 28 space cross times space 5 over denominator 100 end fraction
space equals space 33 space minus space 1.4
equals space 31.6 percent sign
                    

43 Views