Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

55.

A store sells a watch for a profit of 25% of the cost. Then the percentage of profit against selling price is

  • 22%

  • 20%

  • 18%

  • 15%


B.

20%

By applying shortcut method:
    If profit on cost = 25% of the cost = 25 over 100 space equals space 1 fourth of the cost
then, 
profit on sales = fraction numerator 1 over denominator 4 plus 1 end fraction space equals space 1 fifth space of space the space cost space equals space 1 fifth cross times 100 space equals space 20 percent sign space

153 Views

51.

The difference between the greatest and least five-digit numbers formed by the digits 2, 5,0, 6, 8 is (repetition of digits are not allowed)

  • 69552

  • 65925

  • 65952

  • 63952


C.

65952

The difference five digit number formed by the digits 2, 5, 0, 6 and 8 = 86520
The least five digit number formed by the digits 2, 5, 0, 6 and 8 = 20568
therefore Required difference  = 86520 - 20568
                                  = 65952

389 Views

56.

If A is equal to 20% of B and B is equal to 25% of C; then what percent of C is equal to A?

  • 10%

  • 15%

  • 5%

  • 20%


C.

5%

A =  20% of B
straight A space equals space 1 fifth cross times straight B
A : B = 1 : 5
B = 25% of C
B = 1 fourth cross times straight C
B : C = 1 : 4
A: B: C = 1 : 5 : 20
Let x% of C is equal to A
straight X over 100 cross times straight C space equals space straight A
straight X over 100 cross times 20 space equals space 1
space space space straight X space equals space 5 percent sign 

154 Views

57.

A gun is fired at a distance of 1.7 km from Ram and he hears the sound after 25 seconds. The speed of sound (in m/sec) is

  • 60

  • 62

  • 64

  • 68


D.

68

Speed of sound = fraction numerator 1.7 space cross times space 1000 over denominator 25 end fraction
                      = 68 m/sec

776 Views

58.

A sum of ₹ 3,000/- yields an interest of ₹ 1,080/- at 12% per annum simple interest in how many years?

  • 4 years

  • 3 years

  • 5 years

  • 2 1 half space years

B.

3 years

straight S. straight I. space equals space fraction numerator straight p cross times straight r cross times straight t over denominator 100 end fraction
1080 space equals space fraction numerator 3000 space cross times space 12 space cross times space straight t over denominator 100 end fraction
space space space straight t space equals space 3 space years
181 Views

52.

The price of a shirt after 15% discount is ₹ 119/- What was the market price of the shirt before discount?

  • ₹ 129

  • ₹ 140

  • ₹ 150

  • ₹ 160


B.

₹ 140

Shortcut Method:
Direct apply rule of beginning: fraction numerator 119 cross times 100 over denominator 85 end fraction equals space ₹ space 140 divided by negative
185 Views

59.

The simplest value of fraction numerator 3 square root of 8 minus 2 square root of 12 plus square root of 20 over denominator 3 square root of 18 minus 2 square root of 27 plus square root of 45 end fraction space is

  • 3 over 2
  • 2 over 3
  • 1 third
  • 2


B.

2 over 3
fraction numerator 3 square root of 8 minus 2 square root of 12 plus square root of 20 over denominator 3 square root of 18 minus 2 square root of 27 plus square root of 45 end fraction space equals space fraction numerator 3 cross times 2 square root of 2 minus 2 cross times 2 square root of 3 plus 2 square root of 5 over denominator 3 cross times 3 square root of 2 minus 2 cross times 3 square root of 3 plus 3 square root of 5 end fraction
                                equals fraction numerator 2 open square brackets 3 square root of 2 minus 2 square root of 3 plus square root of 5 close square brackets over denominator 3 left square bracket 3 square root of 2 minus 2 square root of 3 plus square root of 5 right square bracket end fraction space equals space 2 over 3
101 Views

54.

The average of a, b, c is 20 and that of b, c, d is 25; if d = 30, then the value of a is

  • 25

  • 45

  • 30

  • 15


D.

15

fraction numerator straight a plus straight b plus straight c over denominator 3 end fraction space equals space 20
 straight a plus straight b plus straight c space equals space 60                                  ...(i)
fraction numerator straight b plus straight c plus straight d over denominator 3 end fraction space equals space 25
straight b plus straight c plus straight d space equals space 75                                    ...(ii)
Subtracting equation (ii) from equation (i),
     straight a minus straight d space equals space minus 15
straight a minus 30 space equals space minus 15
space space space space straight a space equals space 30 minus 15
space space space space straight a space equals space 15
119 Views

53.

If fraction numerator straight a over denominator straight q minus straight r end fraction equals space fraction numerator straight b over denominator straight r minus straight p end fraction equals fraction numerator straight c over denominator straight p minus straight q end fraction, then the value of pa + qb + rc is

  • 0

  • 1

  • 2

  • -1


A.

0

fraction numerator straight a over denominator straight q minus straight r end fraction space equals space fraction numerator straight b over denominator straight r minus straight p end fraction space equals space fraction numerator straight c over denominator straight p minus straight q end fraction space equals space straight k
straight a space equals space straight k left parenthesis straight q minus straight r right parenthesis comma space space straight b space equals straight k left parenthesis straight r minus straight p right parenthesis comma space space straight c space equals space straight k left parenthesis straight p minus straight q right parenthesis
pa space equals space pk left parenthesis straight q minus straight r right parenthesis comma space qb space equals space qk left parenthesis straight r minus straight p right parenthesis comma space rc equals space rk left parenthesis straight p minus straight q right parenthesis

therefore space space space pq plus qb plus rc space equals space pk left parenthesis straight q minus straight r right parenthesis plus qk left parenthesis straight r minus straight p right parenthesis plus rk left parenthesis straight p minus straight q right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight k left square bracket pq minus pr plus qr minus qp plus rp minus rq right square bracket
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space straight k space straight x space 0 space equals space 0

122 Views

60.

If open parentheses straight a plus 1 over straight a close parentheses squared space equals space 3, then the value of straight a cubed plus 1 over straight a cubed is

  • 0

  • 3 open parentheses straight a plus 1 over straight a close parentheses
  • 3 open parentheses straight a squared plus 1 over straight a squared close parentheses
  • 1


A.

0

open parentheses straight a plus 1 over straight a close parentheses squared equals space space 3
rightwards double arrow space straight a plus 1 over straight a space equals space square root of 3
If straight x plus 1 over straight x space equals space straight a comma space space then space straight x cubed plus 1 over straight x cubed space equals left parenthesis straight a right parenthesis cubed minus 3 straight a
therefore space straight a cubed plus 1 over straight a cubed space equals space left parenthesis square root of 3 right parenthesis cubed space minus space 3 square root of 3 space equals space 0
113 Views