Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

55.

There is a 4% increase in volume when a liquid freezes to its solid state. The percentage decrease when solid melts to liquid again, is

  • 3 3 over 13 percent sign
  • 4%

  • 4 1 third percent sign
  • 3 11 over 13 percent sign

D.

3 11 over 13 percent sign

Let the initial volume of liquid be 100
Volume increase by 4%
equals space left parenthesis 100 space cross times space 104 over 100 right parenthesis space equals space 104
Let x be the percentage decrease when solid melts to liquid again.
According to the question,
rightwards double arrow space space space 104 space cross times space fraction numerator left parenthesis 100 minus straight x right parenthesis over denominator 100 end fraction space equals space 100
rightwards double arrow space space space 10400 space minus space 104 straight x space equals space 10000
rightwards double arrow space space space space space 104 straight x space equals space 400
rightwards double arrow space space space space straight x space equals space 50 over 13 space equals space 3 11 over 13 percent sign

295 Views

59.

The value of left parenthesis straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 third end exponent right parenthesis space left parenthesis straight x to the power of 2 over 3 end exponent minus 1 space plus space straight x to the power of negative 2 over 3 end exponent right parenthesis is

  • straight x to the power of negative 1 end exponent plus space straight x to the power of 2 over 3 end exponent
  • straight x space plus space straight x to the power of negative 1 third end exponent
  • straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 end exponent
  • straight x space plus space straight x to the power of negative 1 end exponent

D.

straight x space plus space straight x to the power of negative 1 end exponent
space left parenthesis straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 third end exponent right parenthesis space space left parenthesis straight x to the power of 2 over 3 end exponent minus 1 plus straight x to the power of negative 2 over 3 end exponent right parenthesis equals space left parenthesis straight x to the power of 3 over 3 end exponent space plus space straight x to the power of negative 3 over 3 end exponent right parenthesis space equals space left parenthesis straight x space plus space straight x to the power of negative 1 end exponent right parenthesis
67 Views

60.

In Δ ABC,  DE||AC, where D and E are two points lying on AB and BC respectively. If AB = 5cm and AD = 3 cm, then BE : EC is

  • 2 : 3

  • 3 : 2

  • 5 : 3

  • 3 : 5


A.

2 : 3

In Δ ABC,  DE||AC, where D and E are two points lying

AB = 5 cm
AD = 3 cm
BD = AB  - AD = 5 - 3 = 2 cm
rightwards double arrow space space BE over EC space equals space BD over DA
rightwards double arrow space space BE over EC space equals space 2 over 3
∴    BE : EC = 2 : 3

70 Views

58.

If a + b + c = 0, then the value of a3 + b3 + c3 is

  • abc

  • 2abc

  • 3abc

  • 0


C.

3abc

53 Views

51.

If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

  • 1
  • 7 over 2
  • 7

  • 49


C.

7

fraction numerator straight M subscript 1 straight D subscript 1 over denominator straight W subscript 1 end fraction space equals space fraction numerator straight M subscript 2 straight D subscript 2 over denominator straight W subscript 2 end fraction
rightwards double arrow space fraction numerator 7 space cross times space 7 over denominator 7 end fraction space equals fraction numerator 1 space cross times space straight D subscript 2 over denominator straight W subscript 2 end fraction
rightwards double arrow space space straight D subscript 2 space equals space 7 space days
100 Views

52.

A fan is listed at ₹ 150/- with a discount of 20%. What additional discount must be offered to the customer to bring the net price to ₹ 108/-?

  • 11 1 over 9 percent sign
  • 15%

  • 8%

  • None of these


D.

None of these

Let the additional discount  = x%
According to the question,
 150 space cross times space 80 over 100 space cross times space fraction numerator left parenthesis 100 minus straight x right parenthesis over denominator 100 end fraction space equals space 108
100 - x = 90
x = 10%

52 Views

56.

A man travelled a distance of 61 km in 9 hours, partly by walking at a speed of 4 km/hr and partly on bicycle at speed of 9 km/hr. The distance covered by walking is

  • 16 km

  • 12 km

  • 15 km

  • 17 km


A.

16 km

Let the distance covered by walking be x km.
∴  Distance covered by bicycle  = (61 - x) km.
According to the question,
   straight x over 4 space plus space fraction numerator 61 minus straight x over denominator 9 end fraction space equals space 9
rightwards double arrow space space fraction numerator 9 straight x plus 244 minus 4 straight x over denominator 36 end fraction space equals space 9
rightwards double arrow space space space 5 straight x space plus space 244 space equals space 324
rightwards double arrow space space space space 5 straight x space equals space 80
rightwards double arrow space space space straight x space equals space 16 space km

178 Views

54.

If by selling an article for ₹ 390/- a shopkeeper gains 20%, then the cost is

  • ₹ 370/-

  • ₹ 325/-

  • ₹ 350/-

  • ₹ 300/-


B.

₹ 325/-

Cost of article:
    equals space 390 space cross times space 100 over 120
equals space ₹ space 325 space divided by negative

76 Views

57.

The rate of simple interest per annum at which a sum of money double itself in 16 2 over 3 space years, is:

  • 4%

  • 5%

  • 6%

  • 6 2 over 3 percent sign

C.

6%

If the principal be x, then amount be 2x.
Simple interest = 2x - x = x
n = 50/3 years
According to the question,
straight x space equals space fraction numerator straight x space cross times space straight r space cross times space 50 over denominator 100 space cross times space 3 end fraction
⟹   r = 6%


63 Views

53.

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. The smallest number is

  • 4

  • 5

  • 6

  • None of these


B.

5

Let the numbers be x, 2x and 3x respectively.
   According to the question,
  (x)3 + (2x)3 + (3x)3 = 4500
⟹  x3 + 8x3 + 27x3 = 4500
                       36x3 = 4500
                         straight x cubed space equals space 4500 over 36
                      straight x cubed space equals space 125
⟹             x = 5
∴              x = 5
∴    Smallest number = 5

74 Views