Three numbers are in the ratio 1 : 2 : 3 and the sum of their cu

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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

  • 7

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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%

  • 8%

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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

  • 6


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

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54.

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

  • ₹ 370/-

  • ₹ 325/-

  • ₹ 350/-

  • ₹ 350/-

76 Views

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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
  • 4 1 third percent sign
295 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

  • 15 km

178 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%

63 Views

58.

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

  • abc

  • 2abc

  • 3abc

  • 3abc

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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 to the power of 1 third end exponent space plus space straight x to the power of negative 1 end exponent
67 Views

60.

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

  • 2 : 3

  • 3 : 2

  • 5 : 3

  • 3 : 5

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