Quantitative Aptitude

Time and Work

2,195 Questions
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Time and Work Questions

Multiple choice

16 men can do a piece of work in 30 days. 18 women can do the same piece of work in 32 days. 5 men and 12 women start the work and after some days 5 men leave the work. Then 12 women complete the remaining work in 36 days. For how many days did 5 men and 12 women together do on the work ? 16 पुरुष 30 दिनों में एक काम कर सकते हैं। 18 महिलाएं 32 दिनों में एक ही काम कर सकती हैं। 5 पुरुष और 12 महिलाएँ काम शुरू करते हैं और कुछ दिनों के बाद 5 पुरुष काम छोड़ देते हैं। फिर 12 महिलाएं शेष कार्य 36 दिनों में पूरा करती हैं। 5 पुरुषों और 12 महिलाओं ने कितने दिनों तक एक साथ काम किया?

  1. 12

  2. 10

  3. 9

  4. 8

  5. None of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

16 men's 1 day work = 1/30, so 1 man's 1 day work = 1/480. 18 women's 1 day work = 1/32, so 1 woman's 1 day work = 1/576. Let 5 men + 12 women work together for d days. Work done = d(5/480 + 12/576) = d(1/96 + 1/48) = d(3/96) = d/32. Remaining work = 1 - d/32, done by 12 women in 36 days: (1 - d/32) = 36 × 12/576 = 36/48 = 3/4. So d/32 = 1/4, giving d = 8. Option D is correct.

Multiple choice

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the total length of wall built by 2 Men and 3 Women when working together. Statement I: A man takes 20 days to build that wall alone while 1 woman takes 24 days to build the same wall alone. Statement II: A man takes 10 days to build half of that wall alone while 1 woman takes 8 days to build one – third of the same wall alone and length of wall build in 1 day by a man is 6 meters Statement III: Total lengths of wall build in 1 day when all the 5 workers work together is 27 meters.

  1. If the data in statement II alone is sufficient to answer the question

  2. If the data in both statements I and II together is sufficient to answer the question

  3. If the data either in statement I and III is sufficient to answer the question

  4. If the data either in statement II alone or I and III are sufficient to answer the question

  5. Any two of them together are sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: Man builds in 20 days, woman in 24 days. Combined work: 1/20 + 3/24 = 1/20 + 1/8 = 12/240 + 30/240 = 42/240 = 7/40 wall per day. But we don't know wall length. Statement II: Man builds half in 10 days (so full in 20 days, consistent with I). Woman builds 1/3 in 8 days (so full in 24 days, consistent). Also: 1 man-day = 6 meters. So 20 man-days = 120 meters (wall length). 2 men + 3 women in 1 day: 2×6 + 3×(120/24) = 12 + 15 = 27 meters. Statement III: All 5 workers build 27 meters in 1 day. With I & III: We know rates but not length. With II alone: Complete info. With I & III: We have work rates and total output but not individual lengths unless combined with II. Actually, II alone or I & III both work. Option D is correct.

Multiple choice

The following questions are accompanied by three statements (A), (B) and (C). You have to determine which statements(s) is/are sufficient necessary to answer the questions. 15 men and 20 women work together for 5 days and then men and 8 women leave the group. In how many days will the remaining work be finished by the remaining people ? (A) 10 men and 15 women together can complete the work in 17 days (B) The work done by 1 man is equal to the work done by 2 women. (C) 20 men alone can do the entire work in 15 days.

  1. Any one of them

  2. Either A or C

  3. Only B

  4. Any two of them

  5. All A, B and C together are required
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Any two statements provide sufficient information. A gives work rate of a combined group. B gives relative efficiency of men and women. C gives work rate of men alone. Any pair allows determining individual rates, then calculating time for remaining work.

Multiple choice

At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency? A और B अपनी कार्यक्षमता से 12 दिनों में कार्य समाप्त आकर लेते है। यदि A अपनी कार्यक्षमता के आधे और B अपनी कार्यक्षमता के टीम गुने से कार्य करे तब वह साथ में 9 दिनों में कार्य पूरा करेंगे। तो बताइये A अकेला अपनी कार्यक्षमता से कार्य को कितने समय में पूरा करेगा?

  1. 24 days

  2. 18 days

  3. 12 days

  4. 36 days

  5. None of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A's usual efficiency = a, B's usual efficiency = b. Total work = 12(a + b). With changed efficiencies: A works at 0.5a, B works at 3b. They finish in 9 days: 9(0.5a + 3b) = 12(a + b). Simplifying: 4.5a + 27b = 12a + 12b, giving 15b = 7.5a, so a = 2b. Total work = 12(a + 2a) = 36a. Time for A alone = 36a/a = 36 days. Wait, let me recalculate: If a = 2b, then original: 12(2b + b) = 36b. Changed: 9(0.5 × 2b + 3b) = 9(b + 3b) = 36b. This matches. A alone at efficiency 2b completes 36b work in 36b/2b = 18 days.

Multiple choice

The work done by 4 men in 12 days is equal to the work done by 6 women in 10 days and is also equal to the work done by 8 children in 9 days. A man, a woman and a child working together take 10 days to complete a particular job. In how many days will the same job be completed by 2 women and 5 children working together? 12 दिनों में 4 पुरुषों द्वारा किया गया कार्य 10 दिनों में 6 महिलाओं द्वारा किए गए कार्य के बराबर है और 9 दिनों में 8 बच्चों द्वारा किए गए कार्य के बराबर है। एक आदमी, एक औरत और एक बच्चा साथ को एक विशेष काम पूरा करने में 10 दिन लगते हैं। 2 महिलाओं और 5 बच्चों द्वारा एक साथ काम करने पर एक ही काम कितने दिनों में पूरा होगा?

  1. 8

  2. 6

  3. 5

  4. 10

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work equations: 4M×12 = 6W×10 → 48M = 60W → M = 5W/4. 4M×12 = 8C×9 → 48M = 72C → M = 3C/2. Equating: 5W/4 = 3C/2 → W = 6C/5. Given M+W+C = 10 days → 1/10 work per day combined. Substituting in terms of C: (3C/2) + (6C/5) + C = (15C+12C+10C)/10 = 37C/10 per 10 days = 37C/100 per day. So 37C/100 = 1/10 → C = 10/37. We need 2W+5C: 2×(6C/5) + 5C = 12C/5 + 5C = 37C/5 = 37/5 × 10/37 = 2. So 2W+5C do 2/10 work per day = 1/5 job per day. Time = 5 days. Option C is correct.

Multiple choice

Each question below contains a statement followed by Quantity I and Quantity II. Find the relationship among them and give your answer as: Quantity I: A takes twice as much time as B and thrice as much time as C to finish a piece of work. Working together they can finish the work in 6 days. C can do the work alone in? Quantity II: 30 men can complete a work in 16 days. They started working but after 6 days, 20 more men joined them. How many days will they now take to complete the remaining work?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Let C's time = x days. B takes x/2 days, A takes x/1.5 days. Combined rate: 1/x + 2/x + 1.5/x = 4.5/x = 1/6, so x = 27 days for C. Quantity II: 30 × 16 = 480 man-days work. After 6 days: 30 × 6 = 180 done, 300 remain. With 50 men: 300/50 = 6 more days. Quantity I (27) > Quantity II (6). Option A is correct.

Multiple choice

Kartik can do half of the work which Akhil can do in one sixth of the time as compare to Kartik, if Sandeep is 25% less efficient than Akhil, working together they can complete the work in 12 days. Then find that the work will be finished in how many days if Kartik works with his double efficiency and Akhil work with his half of the efficiency? कार्तिक उस काम का आधा हिस्सा ही करता है जो अखिल कार्तिक की तुलना में 1/6 समय में कर सकता है, अगर संदीप अखिल की तुलना में 25% कम कुशल है, तो एक साथ काम करके वे 12 दिनों में काम पूरा कर सकते हैं। यदि कार्तिक अपनी दोहरी दक्षता के साथ काम और अखिल अपनी आधी कार्यकुशलता के साथ काम करे तो कार्य कितने दिनों में समाप्त हो जायेगा?

  1. 22 days

  2. 25 days

  3. 33 days

  4. 28 days

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Kartik's rate = K. Akhil does 2× work in 1/6 time, so Akhil's rate = 12K. Sandeep is 25% less efficient: rate = 9K. Together: K + 12K + 9K = 22K. 22K = 1/12, so K = 1/264. Kartik doubled: 2K = 1/132. Akhil halved: 6K = 1/44. New combined rate = 1/132 + 1/44 = 4/132 = 1/33. Time = 33 days. Option C is correct.

Multiple choice

The work done by a man, a woman and a child is in the ratio of 5: 3: 1. There are 20 men, 24 women and 40 children in a factory. Their weekly wages amount to ₹1484, which is divided in the ratio of work done by the men, women and children. What was the amount paid to 12 men, 20 women and 30 children in the February, 2017? एक पुरुष, एक महिला और एक बच्‍चे द्वारा किया गया कार्य 5:3:1 के अनुपात में है। एक कारखाने में 20 पुरुष, 24 महिलायें और 40 बच्‍चे हैं। उनकी साप्‍ताहिक मजदूरी 1484 रुपये है, जो पुरुषों, महिलाओं और बच्‍चों द्वारा किए गये कार्य के अनुपात में विभाजित है। फरवरी 2017 में 12 पुरुषों, 20 महिलाओं और 30 बच्‍चों को दी गई राशि ज्ञात कीजिए?

  1. Rs 3200 3200 रुपये

  2. Rs 10400 10400 रुपये

  3. Rs 4200 4200 रुपये

  4. Rs 3600 3600 रुपये

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work ratio 5:3:1 means 9 total work units. 20 men × 5 = 100 units, 24 women × 3 = 72 units, 40 children × 1 = 40 units. Total = 212 units worth ₹1484. Each unit = ₹7. Men's share = (100/212) × 1484 = ₹700, so each man gets ₹35. Women's share = (72/212) × 1484 = ₹504, each woman gets ₹21. Children's share = (40/212) × 1484 = ₹280, each child gets ₹7. For 12 men, 20 women, 30 children: 12×35 + 20×21 + 30×7 = 420 + 420 + 210 = ₹1050. For 4 weeks: 1050 × 4 = ₹4200.

Multiple choice

4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed? 4 पुरुष 2 दिनों में एक काम को पूरा कर सकते हैं । 4 महिलाएं 4 दिनों में उसी काम को पूरा कर सकती हैं जबकि 5 बच्चे 4 दिनों में उसी काम को पूरा कर सकते हैं। यदि 2 पुरुष, 4 महिलाएं और 10 बच्चे एक साथ काम करते हैं, तो काम कितने दिन में पूरा हो सकता है?

  1. 1 day 1 दिन

  2. 3 days 3 दिन

  3. 2 days 2 दिन

  4. 4 days 4 दिन

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

4 men's work rate = 1/2 per day, so 1 man = 1/8 per day. 4 women = 1/4 per day, so 1 woman = 1/16 per day. 5 children = 1/4 per day, so 1 child = 1/20 per day. Combined work of 2 men + 4 women + 10 children = 2(1/8) + 4(1/16) + 10(1/20) = 1/4 + 1/4 + 1/2 = 1. So they complete 1 work per day = 1 day. Option A correctly states 1 day. Options B, C, D overestimate.

Multiple choice

Quantity I: No. of days in which A will work alone, given A and B can complete work in 8 days, B and C can complete work in 12 days, C and A can complete work in 8 days. Quantity II: No. of days in which A will work alone, given A and B can complete work in 18 days, they started work together and after working for 6 days A left and B completed remaining work in 24 days. मात्रा I: उन दिनों की संख्या जिसमें A अकेले काम करेगा, A और B 8 दिनों में काम पूरा कर सकते हैं, B और C 12 दिनों में काम पूरा कर सकते हैं, C और A 8 दिनों में काम पूरा कर सकते हैं। मात्रा II: उन दिनों की संख्या जिसमें A अकेले काम करेगा, A और B 18 दिनों में काम पूरा कर सकते हैं, उन्होंने एक साथ काम करना शुरू किया और 6 दिनों तक काम करने के बाद A छोड़ दिया और B ने 24 दिनों में शेष काम पूरा कर लिया।

  1. Quantity II < Quantity I मात्रा II < मात्रा I

  2. Quantity II > Quantity I मात्रा II > मात्रा I

  3. Quantity II ≤ Quantity I मात्रा II ≤ मात्रा I

  4. Quantity II ≥ Quantity I मात्रा II ≥ मात्रा I

  5. Quantity II = Quantity I or relation cannot be established मात्रा II = मात्रा I या संबंध स्थापित नहीं किया जा सकता है
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: From work rates: A+B = 1/8, B+C = 1/12, C+A = 1/8. Adding first and third: 2A + B + C = 1/4. Subtracting second: 2A = 1/4 - 1/12 = 1/6, so A = 1/12. Time for A alone = 12 days. Quantity II: (A+B)×6 + B×24 = 1. 6A + 30B = 1. Also A+B = 1/18, so A = 1/18 - B. Solving: 6(1/18 - B) + 30B = 1, giving 1/3 + 24B = 1, B = 1/36. Then A = 1/18 - 1/36 = 1/36. Time for A alone = 36 days. Quantity II (36) > Quantity I (12).

Multiple choice

Eight plumbers had to repair 182 taps. At the end of 3 days working 7 hours per day they had repaired 84 taps. One plu,ber left and remaining worked 7 hours daily. If the efficiency of each of the plumbers is same, how many additional days would it take to complete the task? 8 प्लंबर को 182 नलों की मरम्मत करनी थी। 3 दिनों के अंत में 7 घंटे प्रति दिन काम करते हुए उन्होंने 84 नल की मरम्मत की थी। एक प्लम्बर ने कार्य छोड़ दिया और शेष नें प्रतिदिन 7 घंटे काम किया। यदि प्रत्येक प्लंबर की दक्षता समान है, तो कार्य को पूरा करने में कितने अतिरिक्त दिन लगेंगे?

  1. 3 days 3 दिन

  2. 2 days 2 दिन

  3. 1 days 1 दिन

  4. 4 days 4 दिन

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work completed: 8 plumbers × 7 hours × 3 days = 168 plumber-hours for 84 taps. Each tap needs 168/84 = 2 plumber-hours. Remaining work: 182 - 84 = 98 taps requiring 98 × 2 = 196 plumber-hours. With 7 plumbers working 7 hours daily: 7 × 7 = 49 plumber-hours per day. Days needed = 196/49 = 4 days.

Multiple choice

A work is started by a man and it is assumed that he will finish the work in 11 days if working alone. Each subsequent day a new man joined the work. In how many days the four times the original work will be completed, if after the 8th day from the starting of the work no new man will be further added? एक काम एक आदमी द्वारा शुरू किया जाता है और यह माना जाता है कि वह अकेले काम करने पर 11 दिनों में काम खत्म कर देगा। प्रत्येक दिन के बाद एक नया आदमी काम में शामिल हुआ। प्रारंभिक कार्य के चार गुने कार्य को कितने दिनों में पूरा किया जाएगा, यदि कार्य शुरू होने के 8 वें दिन के बाद कोई नया आदमी आगे नहीं जोड़ा जाएगा?

  1. 5

  2. 6

  3. 7

  4. 8

  5. 9
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Man's rate = 1/11 work per day. Days 1-8: men increase from 1 to 8. Days 9 onwards: 8 men work constantly. For 4× work: First 8 days complete sum(1 to 8)/11 = 36/11 units. Remaining: 4 - 36/11 = 8/11 units. With 8 men: (8/11)/(8/11) = 1 day. Total = 8 + 1 = 9 days. Option E is correct. The key insight is that after day 8, the workforce stabilizes at 8 men.

Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Mark answer- नीचे दिए गए प्रश्न में दो कथनों के माध्यम से कुछ जानकारियां दी गई हैं आपको यह निर्णय करना है कि क्या कथनो में दी गई जानकारी उत्तर देने के लिए पर्याप्त हैं? उत्तर दीजिए- In how many days 1 man and 1 woman will do the work? 1 आदमी तथा 1 औरत किसी कार्य को कितने दिनों में पूरा करेंगे ? I. 3 men and 4 women can do a piece of work in 16 days. II. 6 men and 8 women can do a piece of work in 12 days. I. 3 आदमी तथा 4 औरतें किसी कार्य को 16 दिनों में पूरा कर सकते हैं। II. 6 आदमी तथा 8 औरतें किसी कार्य को 12 दिनों में पूरा कर सकते है।

  1. If statement I alone is sufficient but statement II alone is not sufficient. यदि केवल कथन I ही पर्याप्त है लेकिन केवल कथन II पर्याप्त नहीं है

  2. If statement II alone is sufficient but statement I alone is not sufficient. यदि केवल कथन II ही पर्याप्त है लेकिन केवल कथन I पर्याप्त नहीं है

  3. If each statement alone (either I or II) is sufficient. यदि या केवल कथन I या केवल II पर्याप्त हैं

  4. If statement I and II together are not sufficient. यदि कथन I व II दोनों अपर्याप्त हैं

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient. यदि दोनों कथन I व II एक साथ पर्याप्त हैं लेकिन अलग-अलग पर्याप्त नहीं हैं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: 3M + 4W complete work in 16 days. Statement II: 6M + 8W complete work in 12 days. Notice that 6M + 8W = 2(3M + 4W), so the second group has exactly twice the workers. If 3M + 4W take 16 days, then 6M + 8W should take 8 days, not 12 days. This inconsistency means the data is contradictory. Therefore, both statements together are insufficient.

Multiple choice

Anchal, Ranjeet and Vijay completed a work together in 36 days and received a total payment of Rs. 10800. Anchal took half of the total money, Ranjeet took one third and Vijay took remaining. In how many days, Anchal and Vijay would have finished the work if Ranjeet was not working? आंचल, रंजीत और विजय ने 36 दिनों में एक साथ एक कार्य पूरा किया और रु. 10800 का कुल भुगतान प्राप्त किया। आँचल ने कुल धन का आधा हिस्सा लिया, रंजीत ने एक तिहाई लिया और विजय ने शेष लिया। अगर रंजीत कार्य नहीं कर रहा होता तो कितने दिनों में आँचल और विजय कार्य खत्म कर लेते?

  1. 108

  2. 72

  3. 54

  4. 60

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total payment distribution: Anchal gets half (10800/2=5400), Ranjeet gets one-third (10800/3=3600), Vijay gets remainder (10800-5400-3600=1800). Payment ratio A:R:V = 5400:3600:1800 = 3:2:1. In work problems, payment is proportional to work rate. If A, R, V together finish in 36 days, their combined rate = 1/36 work per day. With ratio 3:2:1, individual rates: A=3k, R=2k, V=k. Combined: 6k=1/36, so k=1/216. A and V together: 3k+k=4k=4/216=1/54. Time = 1/(1/54) = 54 days.

Multiple choice

Which information is/are sufficient to answer the questions asked? 40 men and 30 women are working together in a field. After working for 5 days, 10 men and 20 women leave the work. How many more days will be required to complete the remaining work? I. 20 men and 15 women together can complete the work in 7.5 days. II. 15 men and 75 women can complete half work in 1.6 days. III. In a day, the work done by four men is equal to the work done by five women. पूछे गए प्रश्नों का उत्तर देने के लिए कौन सी जानकारियाँ पर्याप्त हैं? एक खेत में 40 पुरुष और 30 महिलाएं मिलकर काम कर रहे हैं। 5 दिनों तक काम करने के बाद, 10 पुरुष और 20 महिलाएं काम छोड़ देती हैं। शेष काम को पूरा करने के लिए कितने दिन की आवश्यकता होगी? I. 20 पुरुष और 15 महिलाएं 7.5 दिनों में काम पूरा कर सकती हैं। II. 15 पुरुष 75 महिलाएं आधे काम को 1.6 दिनों में पूरा कर सकते हैं। III. एक दिन में, चार पुरुषों द्वारा किया गया काम पांच महिलाओं द्वारा किए गए काम के बराबर है।

  1. Any two of the three together are sufficient तीन में से कोई दो एकसाथ पर्याप्त हैं

  2. II and III only केवल II और III

  3. I or II only केवल I या II

  4. III and II or III I या II या III

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To solve this, we need the work rates of men and women. Any two statements give us enough information: I+II gives two independent equations, I+III or II+III let us substitute the ratio from III into the rate equation from I or II. All three pairs lead to a unique solution.