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Quant – Percentage – Set 7

General Instructions

  1. The clock is set at the server. The countdown timer at the top of the screen shows the time remaining. When it reaches zero the test ends by itself — you do not have to submit.
  2. The Question Palette shows the status of every question using these symbols:
    • You have not visited the question yet.
    • You have not answered the question.
    • You have answered the question.
    • You have NOT answered, but have marked it for review.
    • You have answered and also marked it for review.
    Marking a question for review only means you want to look at it again. An answered question that is marked for review is still counted in the evaluation.
  3. To answer a question: choose one of the four options, then press Save & Next. To change an answer, select a different option and save again. To remove it, press Clear.
  4. Your answer is saved only when you press Save & Next or Mark for Review & Next. If you jump to another question from the palette without saving, the answer to the question you were on is not kept. This is how the real exam behaves.
  5. Sections appear on the bar above the question. You may move between sections at any time, and after the last question of a section you are taken to the first question of the next one.
  6. Only questions that are saved, or marked for review after answering, are evaluated.
Review this set's questions and answers (opens after you submit the test)

This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.

  1. If the numerator of a fraction is increased by 20% and the denominator is decreased by 5%, the value of the new fraction becomes 5/2. The original fraction is:
    • A. 19/24
    • B. 24/19
    • C. 48/95
    • D. 95/48
    Show answer and explanation

    Answer: D. 95/48

    (1.2 N) / (0.95 D) = 5/2, so N/D = (5/2) × (0.95/1.2) = 95/48.

  2. A number is first decreased by 10% and then increased by 10%. The number so obtained is 50 less than the original number. The original number is :
    • A. 5000
    • B. 5500
    • C. 5900
    • D. 5050
    Show answer and explanation

    Answer: A. 5000

    Number × 0.9 × 1.1 = 0.99 × number. The 1% shortfall = 50, so the number = 5000.

  3. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs.837. The reduced price per kg of sugar is:
    • A. ₹13.50
    • B. ₹13.00
    • C. ₹12.50
    • D. ₹14.00
    Show answer and explanation

    Answer: A. ₹13.50

    Spending Rs 837 at old price P buys 837/P kg; at 0.9P it buys 930/P kg. The extra 93/P = 6.2, so P = Rs 15 and the reduced price = Rs 13.50.

  4. The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The price of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by:
    • A. 14 1/8 %
    • B. None of these
    • C. 7 1/8 %
    • D. 28 1/8 %
    Show answer and explanation

    Answer: D. 28 1/8 %

    Expenses 12 : 17 : 3 (total 32). Rise = 12 × 20% + 17 × 30% + 3 × 50% = 2.4 + 5.1 + 1.5 = 9. So 9/32 = 28 1/8%.

  5. The bus fare and train fare of a place from Kolkata were Rs.20 and Rs.30 respectively. Train fare has been increased by 20% and the bus fare has been increased by 10%. The ratio of new train fare to new bus fare is:
    • A. 3:5
    • B. 18:11
    • C. 11:18
    • D. 5:3
    Show answer and explanation

    Answer: B. 18:11

    New train fare = 30 × 1.2 = 36. New bus fare = 20 × 1.1 = 22. Ratio = 36 : 22 = 18 : 11.

  6. The difference of two numbers is 15% of their sum. the ratio of the larger number to the smaller number is:
    • A. 23:17
    • B. 11:9
    • C. 23:11
    • D. 17:11
    Show answer and explanation

    Answer: A. 23:17

    a - b = 0.15(a + b) gives 0.85a = 1.15b, so a : b = 115 : 85 = 23 : 17.

  7. 1 litre of water is added to 5 litres of alcohol - water solution containing 40% alcohol strength. The strength of alcohol in the new solution will be:
    • A. 33%
    • B. 33 2/3 %
    • C. 33 1/3 %
    • D. 30%
    Show answer and explanation

    Answer: C. 33 1/3 %

    Alcohol = 40% of 5 L = 2 L. After adding 1 L water the total is 6 L, so strength = 2/6 = 33 1/3%.

  8. 200 litres of a mixture contains 15% water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5% milk is:
    • A. 40 litres
    • B. 35 litres
    • C. 45 litres
    • D. 30 litres
    Show answer and explanation

    Answer: A. 40 litres

    Milk = 85% of 200 = 170 L. Let x L of milk be added: 170 + x = 0.875 (200 + x). So 0.125x = 5 and x = 40 L.

  9. The price of a certain item is increased by 15%. If a consumer wants to keep his expenditure on the item the same as before, how much per cent must he reduce his consumption of that item ?
    • A. 13 1/23 %
    • B. 10 20/23 %
    • C. 15%
    • D. 16 2/3 %
    Show answer and explanation

    Answer: A. 13 1/23 %

    Reduction = 15/115 = 3/23 = 13 1/23%.

  10. If the income tax is increased by 19%, the net income is reduced by 1%. The rate of income tax is:
    • A. 5%
    • B. 6%
    • C. 4%
    • D. 7.2%
    Show answer and explanation

    Answer: A. 5%

    Let the income be 100 and the tax rate t%. After the 19% rise in tax, 100 - 1.19t = 0.99 (100 - t). So 0.2t = 1 and t = 5%.

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