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  • Question
  • A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ?


  • Options
  • A. 160
  • B. 120
  • C. 140
  • D. 180

  • Correct Answer
  • 180 

    Explanation

    Given total number of cows = k
    Now, 1st son share = k/2
    2nd son share = k/4
    3rd son share = k/5
    4th son share = 9

    (k) + (k/4) + (k/5) + 9 = k
    => k - (19k/20) = 9
    => (20k-19k)/20 = 9
    => k = 180.

  • Tags: Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO, AIEEE

    Percentage problems


    Search Results


    • 1. A girl read 2/5 part of a book in 1st day, 34% in second day and remaining page in next two days. In two days she read equal number of page. If she read 52 pages on last day, then find out how many pages did the book contain?

    • Options
    • A. 400
    • B. 376
    • C. 382
    • D. 356
    • Discuss
    • 2. The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

    • Options
    • A. 29.87%
    • B. 33.33%
    • C. 22.22%
    • D. 19.5%
    • Discuss
    • 3. A number X is mistakenly divided by 10 instead of being multiplied by 10. What is the percentage error in the result?

    • Options
    • A. -99%
    • B. +99%
    • C. -100%
    • D. +100%
    • Discuss
    • 4. The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?

    • Options
    • A. 10% more
    • B. 5% more
    • C. 12.5% more
    • D. 17.5% more
    • Discuss
    • 5. 600 students took the test on physics and chemistry. 35% students failed in physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in physics, then how many students failed in both:

    • Options
    • A. 162
    • B. 138
    • C. 60
    • D. None of these
    • Discuss
    • 6. The percentage discount offered for "Buy 6 get 1 free is" ?

    • Options
    • A. 85.78 %
    • B. 58. 48 %
    • C. 19.25 %
    • D. 14.285 %
    • Discuss
    • 7. A house owner wants to get his house painted. He is told that this would require 45 kg of paint allowing 6% wasting. And if the paint is available in 4 kg tins only, the number of tins required for painting the house is ?

    • Options
    • A. 12
    • B. 13
    • C. 11
    • D. 10
    • Discuss
    • 8. 30% of 500 rupees is?

    • Options
    • A. Rs. 180
    • B. Rs. 150
    • C. Rs. 120
    • D. Rs. 240
    • Discuss
    • 9. A Shopkeeper charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:

    • Options
    • A. 0
    • B. -2
    • C. -4
    • D. 5
    • Discuss
    • 10. 83% of 2350 = ?

    • Options
    • A. 1889.95
    • B. 1912.35
    • C. 1875.25
    • D. 1950.50
    • Discuss


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