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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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work.
  • a)
    110/19 days
  • b)
    120/21 days
  • c)
    130/21 days
  • d)
    140/21 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.
Let the number of days required be x.
Part of the work done by Anuj in 1 day is 1/15 (Efficiency).
Part of the work done by Shivam in 1 day is 1/12 (Efficiency).
According to the question, Anuj works at half of his efficiency and Shivam works at double the efficiency.
⇒x=12021
∴ The required number of days is 120/21 days.
Hence, the correct option is (B).
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Information Summary
- Jayanti completes work in 12 days.
- Shivam takes 25% more days than Jayanti: 12 + (0.25 * 12) = 15 days.
- The ratio of days taken by Shivam and Varun is 3:4. Therefore, Varun takes (15 * 4) / 3 = 20 days.
- Varun's time is 100% more than Bhumica's: Varun = 2 * Bhumica. Hence, Bhumica takes 20 / 2 = 10 days.
- Bhumica's efficiency is 50% more than Karishma's. Let Karishma take 'x' days. Thus, Bhumica's efficiency = 1.5x, leading to Bhumica = 10 days, so Karishma takes 15 days.
- The ratio of days taken by Varun, Vinayak, and Sheetal is 5:4:2. With Varun at 20 days, Vinayak takes (20 * 4) / 5 = 16 days, and Sheetal takes (20 * 2) / 5 = 8 days.
- Anuj takes 50% more than Sheetal: 8 + (0.5 * 8) = 12 days.
Efficiency Calculation
- Efficiencies (work/day):
- Jayanti = 1/12
- Shivam = 1/15
- Varun = 1/20
- Bhumica = 1/10
- Karishma = 1/15
- Vinayak = 1/16
- Sheetal = 1/8
- Anuj = 1/12
Combined Efficiency of Anuj and Shivam
- Anuj's efficiency (half) = (1/12) / 2 = 1/24
- Shivam's efficiency (double) = 2 * (1/15) = 2/15
Combined Efficiency Calculation
- Combined efficiency = 1/24 + 2/15
- Finding LCM (120):
- (5/120) + (16/120) = 21/120 = 7/40
Time Taken to Complete Work
- Time = 1 / Combined Efficiency = 40 / 7 days = 120/21 days
Thus, the answer is option '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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. 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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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of 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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. 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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 Anuj works with half of his efficiency and Shivam works with double his efficiency, find the number of days taken by them to complete the work. a)110/19 daysb)120/21 daysc)130/21 daysd)140/21 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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