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There are four boys namely Varun, Vinayak, Shivam, and Anuj, and four girls namely Bhumica, Jayanti, Sheetal, and Karishma in a group and each can complete a piece of work in a different number of days. Jayanti can complete the piece of work in 12 days. The number of days taken by Shivam to complete the work is 25% more than the number of days taken by Jayanti to complete the work. The ratio of the number of days taken by Shivam and Varun to complete the work is 3 ∶ 4. The number of days taken by Varun to complete the work is 100% more than the number of days taken by Bhumica to complete the work. The efficiency of Bhumica is 50% more than the efficiency of Karishma. The ratio of the number of days taken by Varun, Vinayak, and Sheetal are 5 ∶ 4 ∶ 2 respectively. The number of days taken by Anuj to complete the work is 50% more than the number of days taken by Sheetal to complete the work.
Q. If Karishma and Varun work on alternate days starting with Karishma, find the number of days taken by them to complete the work.
  • a)
    19 days
  • b)
    17 days
  • c)
    25 days
  • d)
    18 days
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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Directions: Read the following information carefully and answer the q...
Jayanti can complete the piece of work in 12 days.
Shivam takes 25% more time than Jayanti.
So, the number of days taken by Shivam =12 × 125/100 = 15 days
The ratio of time taken by Shivam and Varun is 3:4.
So, the number of days taken by Varun = 15 × 4/3 = 20 days
Varun takes 100% more time than Bhumica
So, the number of days taken by Bhumika is 20 × 1/2=10 days
Bhumica is 50% more efficient than Karishma. So she takes less time
S the number of days taken by Karishma is 10 × 3/2=15 days
According to the question ratio of time taken by Varun, Vinayak and Sheetal are 5:4:2.
So, the time taken by Vinayak and Sheetal is 16 days and 8 days respectively.
Anuj takes 50% more time than Sheetal
Finally, the time taken by Anuj is 8 × 3/2=12 days.
Part of the work done by Karishma in 1 day = 1/15
Part of the work done by Varun in 1 day = 1/20
So, part of the work done in 2 days = 1/15 + 1/20 = 760
Part of work done in (2×8) days = 7/60 × 8
Part of the work done in 16 days = 14/15
Remaining work = 1− 14/15 = 115 (And this is completed by Karishma in 1 day)
∴ The required number of days is 17 days.
Hence, the correct option is (B).
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Directions: Read the following information carefully and answer the questions given below:There are four boys namely Varun, Vinayak, Shivam, and Anuj, and four girls namely Bhumica, Jayanti, Sheetal, and Karishma in a group and each can complete a piece of work in a different number of days. Jayanti can complete the piece of work in 12 days. The number of days taken by Shivam to complete the work is 25% more than the number of days taken by Jayanti to complete the work. The ratio of the number of days taken by Shivam and Varun to complete the work is 3 ∶ 4. The number of days taken by Varun to complete the work is 100% more than the number of days taken by Bhumica to complete the work. The efficiency of Bhumica is 50% more than the efficiency of Karishma. The ratio of the number of days taken by Varun, Vinayak, and Sheetal are 5 ∶ 4 ∶ 2 respectively. The number of days taken by Anuj to complete the work is 50% more than the number of days taken by Sheetal to complete the work.Q. If Karishma and Varun work on alternate days starting with Karishma, find the number of days taken by them to complete the work.a)19 daysb)17 daysc)25 daysd)18 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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