Quantitative Aptitude

Time and Work

2,195 Questions
All Pairwise rates and staged schedules 440 Workers-days-hours chain rule 439 LCM units and efficiency ratios 409 Different worker categories 311 Combined rates and an unknown worker 257 Division of wages 219 Alternate work 110 Opposing rates 10

Time and Work Questions

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

Quantity I : A and B together can do a piece of work in 12 days and A alone can complete the work in 21 days. How long will B alone to complete the same work? Quantity : II 30 days मात्रा I : A और B मिलकर एक कार्य को 12 दिनों में कर सकते हैं और A अकेला उस कार्य को 21 दिनों में पूरा कर सकता है। B अकेले उसी कार्य को कितने समय में पूरा करेगा? मात्रा : II 30 दिन

  1. Quantity : I > Quantity : II मात्रा : I > मात्रा : II

  2. Quantity : I ≥ Quantity : II मात्रा : I ≥ मात्रा : II

  3. Quantity : I < Quantity : II मात्रा: I < मात्रा: II

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

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

Combined work rate of A and B is 1/12 per day. A's individual rate is 1/21 per day. Therefore B's rate = 1/12 - 1/21 = 3/84 = 1/28, so B alone takes 28 days. Since 28 < 30, Quantity I is less than Quantity II.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

Quantity I: While working together, A and B can complete a task in 15 days. Number of days taken by B to complete the task alone is 30 days. What is the number of days taken by A to complete the same task alone? Quantity II: Number of days taken by P to complete the task alone is 40 days मात्रा I: एक साथ कार्य करते हुए, A और B एक कार्य को 15 दिनों में पूरा कर सकते हैं। अकेले कार्य को पूरा करने में B द्वारा लिए गए दिनों की संख्या 30 दिन है। अकेले उसी कार्य को पूरा करने में A द्वारा लिए गए दिनों की संख्या क्या है? मात्रा II: अकेले कार्य को पूरा करने के लिए P द्वारा लिए गए दिनों की संख्या 40 दिन है

  1. Quantity: I > Quantity: II मात्रा: I > मात्रा: II

  2. Quantity: I ≥ Quantity: II मात्रा: I ≥ मात्रा: II

  3. Quantity: I < Quantity: II मात्रा: I < मात्रा: II

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

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

Quantity I: Combined work rate = 1/15 per day. B's rate = 1/30 per day. A's rate = 1/15 - 1/30 = 1/30 per day. So A takes 30 days alone. Quantity II = 40 days. Comparing: 30 < 40, so Quantity I < Quantity II.

Multiple choice

Passage

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question?

In how many days can 16 boys and 8 girls do a piece of work? I 5 girls can do the same work in 32 days. II 16 girls can do the same work in 10 days. III 8 boys can do the same work in 10 days.

  1. Any two

  2. Only III and either I or II

  3. Only I and III

  4. Only II and III

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

To find days for 16 boys + 8 girls, we need individual work rates. Statement III gives boys' rate (8 boys = 10 days, so 1 boy = 80 days). Statements I and II both give girls' rate (5 girls = 32 days or 16 girls = 10 days, both give 1 girl = 160 days). We need girls' rate (from I OR II) plus boys' rate (from III). Statements I and II are redundant - either works with III. Combined rate: 16/80 + 8/160 = 0.2 + 0.05 = 0.25 work/day, so 4 days needed.

Multiple choice

Passage

In each of the following questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer नीचे दिए गए प्रत्येक प्रश्न में एक प्रश्न और उसके नीचे दो कथन I और II दिए गए हैं। आपको यह तय करना होगा कि कथन में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त हैं या नहीं। दोनों कथनों को पढ़ें और उत्तर दें

Two friends A and B together can complete a piece of work in 10 days. In how many days A alone complete the piece of work? दो मित्र A और B एक साथ मिलकर 10 दिनों में काम पूरा कर सकते हैं। कितने दिनों में A अकेले काम पूरा करता है? I . B alone can complete half of the work in 12.5 days. II . The efficiency of A is 50% more than that of B. ।. B अकेले 12.5 दिनों में आधा काम पूरा कर सकता है। II. A की दक्षता B की तुलना में 50% अधिक है।
    1. Data in Statement I along are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. कथन I में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त हैं, जबकि कथन II में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं हैं।

  2. Data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. कथन II में डेटा अकेले प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि कथन I में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं हैं।

  3. Data in Statement I alone or in statement II alone are sufficient to answer the question. कथन I अकेले या कथन II अकेले प्रश्न का उत्तर देने के लिए पर्याप्त हैं।

  4. Data in both the statements I and II are not sufficient to answer the question. I और II दोनों कथनों में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  5. Data in both the Statements I and II together are necessary to answer the question. प्रश्न का उत्तर देने के लिए कथन I और II दोनों में डेटा आवश्यक है।
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: B completes half work in 12.5 days, so B alone completes full work in 25 days. Combined rate: 1/A + 1/B = 1/10. With 1/B = 1/25, we get 1/A = 1/10 - 1/25 = 3/50, so A = 50/3 ≈ 16.67 days. Statement I alone is sufficient. Statement II: A's efficiency is 50% more than B, meaning A:B = 3:2. If A = 2x days, B = 3x days. Combined: 1/(2x) + 1/(3x) = 1/10, giving x = 25/3, so A = 50/3 days. Statement II alone is also sufficient. Each statement alone is sufficient.

Multiple choice

Passage

Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly.

Quantity I: Number of days for A and B, if A, B and C can do a work together in 10 days, B and C can do in 12 days while C and A can do in 20 days. Quantity II: Number of Days A and B, if A and C can do a work in 12 days and 8 days respectively while B and C can do this work in 6 days.

  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: A+B+C = 10 days, B+C = 12 days, C+A = 20 days. Adding all: 2(A+B+C) = 42 days, so A+B+C = 21. A alone = 21-12 = 9 days, B alone = 21-20 = 1 day. A+B together: 1/9 + 1/1 = 10/9, so 9/10 = 0.9 days. Quantity II: A = 12 days, C = 8 days, B+C = 6 days. B = 1/6 - 1/8 = 1/24, so B = 24 days. A+B = 1/12 + 1/24 = 3/24 = 8 days. Comparing: 0.9 < 8, so Quantity I < Quantity II, meaning Quantity II > Quantity I... Wait, let me recalculate. For Quantity I, if A+B+C=10 and we find individual rates, the combined A+B work rate calculation seems incorrect. Let me verify: If A+B+C combined rate is 1/10, and we subtract B+C (1/12), we get A's rate. Similarly for others. The comparison shows Quantity I's time for A+B is much smaller than Quantity II's.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (only quantity is to be considered)

(A – 8) men can complete a piece of work in 2B days and (A + 10) men can complete the same piece of work in B days. Quantity I : The value of A Quantity II : The value of B

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From the work equations: (A-8) × 2B = (A+10) × B. This gives 2A - 16 = A + 10, so A = 26. But without knowing the total work or any specific relationship between A and B beyond this ratio, we cannot determine a unique value for B. The relationship depends on the total work units which is not specified, so the relation between A and B cannot be established.

Multiple choice

Passage

In each of the following questions, a question is followed by information given in three Statements I, II and III. You have to study the question along with the statements and decide the information given in which of the statement(s) is necessary to answer the question. निम्नलिखित प्रत्येक प्रश्न में, एक प्रश्न के बाद तीन कथन I, II और III में दी गई जानकारी दी गई है। आपको कथनों के साथ-साथ प्रश्न का अध्ययन करना है और यह तय करना है कि प्रश्न का उत्तर देने के लिए कौन से कथन में दी गई जानकारी आवश्यक है।

In how many days 10 women can finish the work? 10 महिलाएं कितने दिनों में काम खत्म कर सकती हैं? I. 10 men finish the work in 6 days. II. 10 women and 10 men finish the work in 24/7 days. III. If 10 men work 3 days and after that 10 women are deployed to work for men, the rest work is finished in 4 days. I. 10 आदमी 6 दिनों में काम खत्म करते हैं। II. 10 महिलाएं और 10 पुरुष काम को दिनों में पूरा करते हैं। III. यदि 10 पुरुष 3 दिन कार्य करते हैं और उसके बाद 10 महिलाओं को पुरुषों की जगह कार्य पर लगाया जाता है, तो शेष कार्य 4 दिनों में समाप्त हो जाता है।

  1. I and II I और II

  2. Any two of three तीन में कोई दो

  3. I and III I और III

  4. II and III II और III

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

This is a data sufficiency problem where we need to determine if statements are sufficient to find the time for 10 women. From Statement I: 10 men complete work in 6 days, so their rate is 1/6 per day. Statement II gives combined rate of 10 men + 10 women as 7/24 per day. Using both I and II: 10 women's rate = 7/24 - 1/6 = 7/24 - 4/24 = 3/24 = 1/8, so they take 8 days. Using I and III: 3/6 + 4×(10 women's rate) = 1, giving 10 women's rate = 1/8, so 8 days. Using II and III also works. Thus any two statements together are sufficient.

Multiple choice

Passage

Each of the questions below consists of a question and two statements I, and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer. नीचे दिए गए प्रत्येक प्रश्न में एक प्रश्न और उसके नीचे दो कथन I और II दिए गए हैं। आपको यह तय करना है कि कथनों में दिया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं। सभी कथनों को पढ़िए और उत्तर दीजिए।

A and B started working together. After a few days, C joined them and they were able to finish the work in 10 days. All of them together were paid a total of Rs. 800. Find the share of C. A और B एक साथ काम करना शुरू करते हैं। कुछ दिनों के बाद, C उनके साथ जुड़ गया और वे 10 दिनों में काम पूरा करने में सक्षम हो गए। उन सभी को एक साथ कुल 800 रुपये का भुगतान किया गया था। C का हिस्सा ज्ञात कीजिए। Statement I : A can do the work in 20 days, while B can do the same work in 25 days. Statement II : A can do the work in 60 days, while B can do the same work in 15 days. कथन I: A उस काम को 20 दिनों में कर सकता है, जबकि B उसी काम को 25 दिनों में कर सकता है। कथन II: A 60 दिनों में काम कर सकता है, जबकि B उसी काम को 15 दिनों में कर सकता है।

  1. Only statement I alone is sufficient to answer. केवल कथन I ही उत्तर देने के लिए पर्याप्त है

  2. Only Statement II alone is sufficient to answer. केवल कथन II ही उत्तर देने के लिए पर्याप्त है

  3. Either statement I or statement II alone sufficient. या तो कथन I या केवल कथन II पर्याप्त है

  4. Statement I and statement II together sufficient to Answer. कथन I और कथन II एक साथ उत्तर देने के लिए पर्याप्त हैं।

  5. Both statements together not sufficient to answer. दोनों कथन एक साथ उत्तर देने के लिए पर्याप्त नहीं हैं।
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Both statements give A and B's individual work rates. Statement I: A=1/20, B=1/25 per day. Together A+B=9/100 per day. If they work 'a few days' then C joins and total is 10 days, we can find C's contribution as fraction of total work and compute share of Rs. 800. Statement II: A=1/60, B=1/15 per day. Together A+B=5/60=1/12 per day. Either statement alone allows calculating C's share since the total payment and work completion timeframe are fixed. Each independently solves the problem.

Multiple choice

Passage

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: A boy can do homework in 2 hours. The number of home-works he can complete if he works for 6 hrs. Quantity B: A can do a piece of work in 20 days. B can do the same work in 25 days. A and B work together for 9 days. C who can do the same work in 10 days joins them now. Then the number of days in which the remaining work will be completed?

  1. Quantity A > Quantity B

  2. Quantity A < Quantity B

  3. Quantity A ≥ Quantity B

  4. Quantity A ≤ Quantity B

  5. Quantity A = Quantity B or relationship cannot be determined.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity A: In 6 hours, completing homework at 2 hours per assignment gives 3 homework assignments. Quantity B: A's work rate is 1/20 per day, B's is 1/25 per day, and C's is 1/10 per day. A and B together for 9 days complete (1/20 + 1/25) × 9 = 9/20 + 9/25 = 81/100 of the work. The remaining 19/100 is completed by all three working at combined rate 1/20 + 1/25 + 1/10 = 34/100 per day, taking 19/34 ≈ 0.56 days. Since 3 > 0.56, Quantity A > Quantity B.

Multiple choice

Passage

Each question below contains a statement followed by Quantity I and Quantity II. Find the relationship among them and give your answer as, नीचे दिए गए प्रत्येक प्रश्न में एक कथन है, जिसके बाद मात्रा I और मात्रा II हैं, उनके बीच संबंध ज्ञात कीजिये और अपना उत्तर दें।

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, so 20 more men joined them. How many days will they now take to complete the remaining work? मात्रा I- A, B से दो गुना अधिक समय लेता है और तीन बार काम करने के लिए C जितना समय लेता है। एक साथ काम करने से वे 6 दिनों में काम पूरा कर सकते हैं। C अकेले काम कर सकता है? मात्रा II- 30 आदमी 16 दिनों में एक काम पूरा कर सकते हैं। उन्होंने काम करना शुरू कर दिया लेकिन 6 दिनों के बाद, इसलिए 20 और पुरुष उनके साथ जुड़ गए। बचे हुए काम को पूरा करने में उन्हें अब और कितने दिन लगेंगे?

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity II > Quantity I मात्रा II > मात्रा I

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

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

Quantity I: If A takes twice as much time as B and thrice as much time as C, let A = 6t days (LCM of 2 and 3). Then B = 3t days, C = 2t days. Combined rate: 1/6t + 1/3t + 1/2t = 1/t. They finish in 6 days, so work = 6/t = 1, giving t = 6. C alone takes 2×6 = 12 days. Quantity II: 30 men × 16 days = 480 man-days. After 6 days: 180 man-days done, 300 remaining. With 50 men (30+20): 300/50 = 6 days needed. Since 12 > 6, Quantity I > Quantity II.

Multiple choice

Passage

Each of given questions consists of a question followed by informations in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question. नीचे प्रत्येक प्रश्न में, एक प्रश्न और उसके बाद तीन कथनों में जानकारी दी गई है। आप प्रश्नो और कथनों का अध्ययन कीजिए और यह तय कीजिये कि कौनसा/से कथनों में दी गई जानकारी प्रश्न का उत्तर देने के लिए आवश्यक है/हैं।

P,Q and R working together can complete a work in how many days? Statement I: P can complete half of the work in 4 days and Q can complete one third of the work in 2 days. Statement II: The ratio of their efficiencies of P, Q and R is 3:4:6 respectively. Statement III: R can do as much work in 2 days as Q can do in 6 days. P, Q और R एक मिलकर किसी काम को कितने दिनों में पूरा कर सकते हैं? कथन I: P, 4 दिनों में आधा काम पूरा कर सकता है और Q ,2 दिनों में एक तिहाई काम पूरा कर सकता है कथन II: P, Q और R की क्षमताओ का अनुपात क्रमशः 3: 4: 6 है। कथन III: R ,2 दिनों में उतना काम कर सकता है जितना Q ,6 दिनों में कर सकता है।

  1. Any two कोई भी दो

  2. I and II I तथा II

  3. I and (IIorIII) I तथा (II या III)

  4. Only I केवल I

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

Statement I gives P's time as 8 days (half work in 4 days) and Q's time as 6 days (1/3 work in 2 days). Statement II gives the efficiency ratio P:Q:R = 3:4:6, which lets us find R's efficiency relative to P and Q. From I and II, if P takes 8 days with efficiency 3, then with efficiency 6, R would take 4 days. Combined rate = 1/8 + 1/6 + 1/4 = 13/24, so total time = 24/13 days. Statement III alone is insufficient, but I + (II or III) works because III gives R's efficiency relative to Q.

Multiple choice

Passage

Following questions contain two statements as statement I and statement II. You have to determine which statement/s is/are necessary to answer the question and give answer as, निम्नलिखित प्रश्नों में कथन I और कथन II के रूप में दो कथन शामिल हैं। आपको यह निर्धारित करना है कि प्रश्न का उत्तर देने के लिए कौन सा कथन / विवरण आवश्यक है ,

A works for 4 days and leaves the job. In how many days can A alone finish the entire work? Statement I: B finishes the remaining work in 8 days. Statement II: A and B together can finish the work in 20/3 days. A, 4 दिन काम करता है और काम छोड़ देता है। प्रेरणा अकेले पूरे काम को कितने दिनों में पूरा कर सकता है? कथन I: B शेष कार्य को 8 दिनों में पूरा करता है। कथन II: A और B मिलकर कार्य को 20/3 दिनों में समाप्त कर सकते हैं।

  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question कथन I के आंकड़े प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि कथन II का आंकड़े अकेले प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है

  2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question कथन II में आंकड़े प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि कथन I में आंकड़े प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है

  3. The data either in statement I alone or in statement II alone is sufficient to answer the question केवल कथन I या कथन II में दिए गए आंकड़े प्रश्न का उत्तर देने के लिए पर्याप्त है

  4. The data given in both statements I and II together are not sufficient to answer the question I और II दोनों कथनों में दिए गए आंकड़े प्रश्न का उत्तर देने के लिए पर्याप्त नहीं हैं

  5. The data given in both statements I and II together are necessary to answer the question. प्रश्न का उत्तर देने के लिए I और II दोनों कथनों में दिए गए आंकड़े आवश्
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let A's and B's one-day work be 1/a and 1/b respectively. From statement I: 4/a + 8/b = 1. This gives one equation in two unknowns, insufficient alone. From statement II: 1/a + 1/b = 3/20. This is also one equation in two unknowns, insufficient alone. Combining both gives two equations that can be solved to find a (A alone can finish in 20 days). Both statements together are necessary.

Multiple choice

Passage

The following table shows the five different projects named X, Y, Z, M and N and four persons working on it. The second table shows the part of respective project that could not be completed by individuals in time. The following table shows the number of days for which 4 individuals A, B, C and D worked on 5 different projects X, Y, Z, M and N. It also shows the part of respective project that could not be completed by individuals in time. Some values are missing which are denoted by symbol (-). With the help of information in questions and table below answer the questions that follow.

Project Z was to be completed in 12 days. To complete project in time, all A, B, C and D decided to work in pairs in alternate days. A and C on 1st day, B and D on 2nd day, A and C on 3rd, and so on. But they could not complete project in time. What percent of project Z remain uncompleted if A, B, C and D can complete whole project Z in 24, 36, 40 and 30 days respectively?

  1. 26.5%

  2. 23.33%

  3. 33.33%

  4. 45.5%

  5. 25%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Calculate work done by each pair per day. A+C rate = 1/24 + 1/40 = 1/15 per day. B+D rate = 1/36 + 1/30 = 3/35 per day. In 12 days (6 days each pair): A+C do 6×(1/15) = 2/5 = 40%, B+D do 6×(3/35) = 18/35 ≈ 51.43%. Total = 2/5 + 18/35 = 32/35 ≈ 91.43%. Remaining = 1 - 32/35 = 3/35 = 23.33%.

Multiple choice

Passage

Directions: This data sufficiency problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question.

Rahim can complete 40% of the work in 16 days, Karim can complete 60% of the same work in 12 days and Abdul can complete the whole work in X days. Find the value of X. (i) The efficiency of Abdul is the average of the efficiency of Rahim and Karim together. (ii) The Abdul is twice as efficient than Rahim.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statements (1) and (2) together are sufficient, but neither of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Both statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Rahim: 40% in 16 days -> 100% in 40 days. Karim: 60% in 12 days -> 100% in 20 days. Efficiencies are 1/40 and 1/20. Statement (1): Abdul's efficiency = (1/40 + 1/20)/2 = (3/40)/2 = 3/80. X = 80/3. Statement (2): Abdul is twice as efficient as Rahim (1/40), so Abdul = 2/40 = 1/20. X = 20. Both statements are sufficient individually.

Multiple choice

Passage

The following questions are accompanied by two statements or three statements A, B and C. You have to determine which statement(s) is/are necessary/sufficient to answer the question.

12 men can complete a work in 9 days. In how many days 15 women can complete the same work?A. 10 women can complete the same work in 18 days.B. 3 men are as efficient as 5 women.C. 18 men can complete the same work in 6 days.

  1. (a) Only A and B together

  2. (b) Either A alone or B alone

  3. (c) Only B alone

  4. (d) Only A alone

  5. (e) Any two of the three together
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From the question, 12 men work for 9 days (108 man-days). Statement A gives the rate for women, which allows calculating their efficiency. Statement B provides a direct conversion between men and women, allowing the calculation of 15 women's work rate. Either statement alone is sufficient to relate the work capacity of men to women.