Mathematical Aptitude - Ratio Proportion, Percentage and Discounting

Avatto>>UGC NET PAPER 1>>PRACTICE QUESTIONS>>Mathematical Aptitude>>Ratio Proportion, Percentage and Discounting

1. A box contains a dozen bulbs in which few are defective and remaining are good. Which of the following cannot be a ratio of defective bulbs to good bulbs?

  • Option : D
  • Explanation : (D) If the ratio is 1 : 4, Then the number of defective bulbs = x and number of good bulbs = 4x
    ∴ x + 4x = 12
    ⇒ 5x = 12
    which is not possible for any integral value of x.
    So, 1 : 4 is not possible.
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2. If(3a + 5b) : (3a - 5b) = 5 : 1, then the value of a : b will be

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3. The production of company X is 120% of the production of company Y and 80% of the production of company Z. The respective ratio between the production of companies X, Y and Z is

  • Option : D
  • Explanation : (D) Let the production of Y =100
    Then, production of X =120
    Production of Z =150
    Required ratio of X, Y and X
    =X : Y : Z
    =120 : 100 : 150
    =12 : 10 : 15
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4. What percentage of 180.50 is 36.1?

  • Option : A
  • Explanation : Lets consider x% of 180.5 = 36.1
    x% = 36.1/180.5
    x = 36.1/180.5 × 100 = 20%
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5. The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure on this account is

  • Option : C
  • Explanation : Let original price = 100
    Original quantity = 100
    Total expenditure = 100 × 100
    New price = 100 + 25 = 125
    New quantity = Q
    As expenditure is to be kept same, 100 × 100 = 125 × Q
    Q = (100 × 100)/125 = 80. % reduction in quantity = 100 - 80 = 20
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