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  • Question
  • If 5 men and 3 boys can reap 23 hectares in 4 days and if 3 men and two boys can reap 7 hectares in 2 days. How many boys must assist 7 men in order that they may reap 45 hectares in 6 days?


  • Options
  • A. 2 boys
  • B. 6 boys
  • C. 4 boys
  • D. 5 boys

  • Correct Answer
  • 2 boys 

    Explanation

    5 men + 3 boys can reap 23 hectares in 4 days ......(i)
    3 men + 2 boys can reap 7 hectares in 2 days ......(ii)

    ? From (i),
    14( 5 men + 3 boys) can reap 23 x 14 hectares in 4 days
    Now, from (ii)
    ? 23 (3 men + 2 boys) can reap 7 x 2 x 23 hectares in 4 days

    ? 14(5 men + 3 boys) = 23 (3 men + 2 boys)
    ? 70 men + 42 boys = 69 men + 46 boys
    ? 1 men = 4 boys
    Now, 5 men + 3 boys = 23 boys

    ? 23 boys can reap 23 hectare 4 days
    ? 1 boy can reap 1 hectares in 4 days
    ? 4 boys can reap 1 hectare in 1 day
    ? 4 x 45 boys can reap 45 hectaes in 1 day
    ? 4 x 45 / 6 boys can reap 45 hectares in 6 days
    ? 30 boys can reap 45 hectares in 6 days

    But 30 boys = 28 boys + 2 boys = 7 men + 2 boys
    Hence, 2 boys can assist 7 men for the work.


  • More questions

    • 1. 
      A chocolate has 12 equal piece. Monju gave 1/4 th of it to Anju, 1/3 rd of it to Sujata and 1/6 th of it to Fiza. The number of piece of chocolate left with Manju is?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      Third power of 4 is equivalent to :

    • Options
    • A. 64
    • B. 81
    • C. 12
    • D. 49
    • Discuss
    • 3. 
      What number should be added to 231228 to make it exactly divisible by 33?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. 
      The probability of drawing a red card from a deck of playing cards is

    • Options
    • A. 2/18
    • B. 1/13
    • C. 1/4
    • D. 1/2
    • Discuss
    • 5. 
      [1/(1.2.3)] + [1/(2.3.4)] + [1/(3.4.5)] + [1/(4.5.6)] is equal to

    • Options
    • A. 7 / 30
    • B. 11 / 30
    • C. 13 / 30
    • D. 17 / 30
    • Discuss
    • 6. 
      Two boys, A and B, runs at 4 1? 2 and 6 Km an hour. A having 190 m start. The course being 1 Km, B wins by a distance of :

    • Options
    • A. 60 m
    • B. 65 m
    • C. 45 m
    • D. 75 m
    • Discuss
    • 7. 
      30% of 80/? = 24

    • Options
    • A. 3/10
    • B. 3/17
    • C. 1
    • D. 2
    • Discuss
    • 8. 
      A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. (? = 22/7)

    • Options
    • A. 4928 m2
    • B. 9865 m2
    • C. 8956 m2
    • D. 9856 m2
    • Discuss
    • 9. 
      1178.999 x 25.001 - ? ? x 16.0011 = 29075

    • Options
    • A. 25
    • B. 15
    • C. 575
    • D. 625
    • Discuss
    • 10. 1, 1, 2, 6, 24, 96, 720

    • Options
    • A. 720
    • B. 96
    • C. 24
    • D. 6
    • E. 2
    • Discuss


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