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  • Question
  • 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in


  • Options
  • A. 18 days
  • B. 21 days
  • C. 24 days
  • D. 30 days

  • Correct Answer
  • 21 days 

    Explanation

    (2 x 14) men +(7 x 14) boys = (3 x 11) men + (8 x 11) boys

     =>5 men= 10 boys    => 1man= 2 boys

     Therefore, (2 men+ 7 boys) = (2 x 2 +7) boys = 11 boys

     

    ( 8 men + 6 boys) = (8 x 2 +6) boys = 22 boys.

     Let the required  number of days be x.

     More boys , Less days     (Indirect proportion)

     More work , More days    (Direct proportion)

      B o y s 22 : 11 W o r k 1   :   3 ? ?   14 : x

     Therefore, (22 * 1 * x) = (11 * 3 * 14)

    => x = 21 

    Hence, the required number of days = 21


  • More questions

    • 1. Find out the odd word/letters/number/number pair from the given alternatives.

    • Options
    • A. Hazy
    • B. Cloudy
    • C. Translucent
    • D. Transparent
    • Discuss
    • 2. Find out the odd word/letters/number/number pair from the given alternatives.

    • Options
    • A. IDD
    • B. AGG
    • C. UTT
    • D. REE
    • Discuss
    • 3. In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those studnets who passed in both the subjects ?

    • Options
    • A. 45%
    • B. 35%
    • C. 20%
    • D. 40%
    • Discuss
    • 4. 0.1 decates ago, Vijaya was quadrice as old as her daughter Simran. 0.6 decades hence, Vijaya?s age will beat her daughter?s age by 0.9 decades. The proportion of the current ages of Vijaya and Simran is : [ 0.1 Decates =1 Year; quadrice = 4 times]

    • Options
    • A. 8:1
    • B. 10:2
    • C. 11:4
    • D. 13:4
    • Discuss
    • 5. Anmol soldtwo items for Rs 1000 each. On one, he gained 10% and on other, he lost 10%. How much did he gain or lose in the whole transaction?

    • Options
    • A. profit,0.95%
    • B. loss,1%
    • C. profit,10%
    • D. loss,10%
    • Discuss
    • 6. What is the value of cosec 11?/6?

    • Options
    • A. -2/?3
    • B. ?2
    • C. -2
    • D. -?2
    • Discuss
    • 7. Find out the odd word/letters/number/number pair from the given alternatives.

    • Options
    • A. 358
    • B. 853
    • C. 538
    • D. 240
    • Discuss
    • 8. A dealer marks his goods 20% above their cost prices. Then,he allows such a discount on the marked price so that he makes a profit of 8%. The rate of discount is:

    • Options
    • A. 12%
    • B. 10%
    • C. 6%
    • D. 4%
    • Discuss
    • 9. Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh?s present age ?

    • Options
    • A. 17 years
    • B. 13 years
    • C. 14 years
    • D. 16 years
    • Discuss
    • 10. If the selling price is doubled, the profit triples. The profit percent is

    • Options
    • A. 66.6%
    • B. 150%
    • C. 100%
    • D. 190%
    • Discuss


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