SSC Time and Work Bilingual Test 2

1. A does half as much work as B in three-fourth of the time. If together they take 66 days to complete the work, how many days shall B alone take to do it? किसी िाम िो िरने में B िो जितना समय लगता है, उसिे तीन-चौथाई समय में A वही िाम आधा िर पाता है। यदि िोनों जमलिर िाम िो 66 दिनों में पूरा िरते हैं, तो B िो अिेले वह िाम पूरा िरने में कितने दिन लगेंगे?

• A. 55 (Correct)
• B. 66
• C. 110
• D. 90

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is option (?).

2. A can complete a work in 20 days and B in 40 days. In how many days can they complete it together?

• A. 17 days
• B. 11 days
• C. 13 days (Correct)
• D. 15 days

Explanation: Together time = AB/(A+B) = 20 x 40/(20 + 40) = 13 days.

3. P, Q, R and S can complete a piece of work in 25 days, 30 days, 36 days and 40 days, respectively. They work on a rotation basis with Q working on the first day, S on the second day, P on the third day and R on the fourth day, then again Q on the fifth day and so on. In how much time will the work be completed? P, Q, R और S किसी िायत िो क्रमशः 25 दिनों, 30 दिनों, 36 दिनों और 40 दिनों में पूरा िर सिते हैं। वे क्रमावततन (rotation) िे आधार पर िायत िरते हैं, जिसमें Q पहले दिन िायत िरता है, S िूसरे दिन, P तीसरे दिन और R चौथे दिन, कफर से Q पांचवें दिन और इसी तरह आगे िी िायत किया िाता है। िायत कितने समय में पूरा होगा?

• A. 29 (Correct)
• B. 31
• C. 23
• D. 26

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is option (?).

4. Avi can finish a piece of work in 6 days, Avni can finish it in 8 days, Aarti can do it in 12 days and Reeta can do it in 16 days. They all decided to work one by one, Avi starts the work and works for one-fourth of a day, then Avni works for one-fourth of a day, then Aarti works for one-fourth of a day and then Reeta works for the remaining one-fourth of a day. The cycle is repeated till the work finished. Who was working when the work finished? अकव एि िायत िो 6 दिनों में पूरा िर सिता है, अवनी इसे 8 दिनों में पूरा िर सिती है, आरती इसे 12 दिनों में पूरा िर सिती है और रीता इसे 16 दिनों में पूरा िर सिती है। उन सिी ने एि-एि िरिे िायत िरने िा फैसला किया, सबसे पहले अकव िायत शुरू िरता है और एि-चौथाई दिन िायत िरता है, कफर अवनी एि-चौथाई दिन िायत िरती है, कफर आरती एि-चौथाई दिन िायत िरती है और कफर रीता बचे हुए एि-चौथाई दिन िायत िरती है। िायत समाप्त होने ति यह चक्र िोहराया िाता है। िब िायत समाप्त हुआ, तो िौन िायत िर रहा था?

• A. Aarti
• B. Reeta
• C. Avi (Correct)
• D. Avni

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (C) Avi.

5. A and B can do a piece of work in 18 days, B and C can do the same work in 32 days and A and C can do the same in 52 days. The time taken by A, B and C together to do the work is: A और B एि िायत िो 18 दिनों में िर सिते हैं, B और C उसी िायत िो 32 दिनों में िर सिते हैं तथा A और C उसी िायत िो 52 दिनों में िर सिते हैं। A, B और C िो एि साथ जमलिर िायत पूरा िरने में कितना समय लगेगा?

• A. 18 (Correct)
• B. 17
• C. 15
• D. 16

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (A) 18.

6. A, B and C working separately can do a piece of work in 5, 8 and 6 days, respectively. If they all work together and earn ₹22,774 for the whole work, then find the difference between the shares of B and C. A, B और C अलग-अलग तौर पर िायत िरते हुए किसी िायत िो क्रमशः 5, 8 और 6 दिनों में पूरा िर सिते हैं। यदि वे सिी एि साथ िायत िरते हैं और पूरे िायत िे जलए ₹22,774 अजिित िरते हैं, तो B और C िे हहस्से िे बीच अंतर ज्ञात िीजिए।

• A. ₹1,930 (Correct)
• B. ₹1,560
• C. ₹1,840
• D. ₹2,010

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (A) ₹1,930.

7. A can complete a work in 20 days and B in 40 days. In how many days can they complete it together?

• A. 11 days
• B. 13 days (Correct)
• C. 15 days
• D. 17 days

Explanation: Together time = AB/(A+B) = 20 x 40/(20 + 40) = 13 days.

8. A can complete a work in 12 days and B in 24 days. In how many days can they complete it together?

• A. 8 days (Correct)
• B. 10 days
• C. 12 days
• D. 6 days

Explanation: Together time = AB/(A+B) = 12 x 24/(12 + 24) = 8 days.

9. A fort had provision of food for 150 men for 85 days. After 15 days, 25 men left the fort. Find the number of days for which the remaining food will last. एि किले में 150 पुरूषों िे जलए 85 दिनों िे िोिन िा प्रबंध था। 15 दिनों िे बाि, 25 पुरूष किले से चले गए। बचा हुआ िोिन कितने दिनों ति चलेगा?

• A. 88
• B. 84 (Correct)
• C. 80
• D. 82

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (B) 84.

10. The data given below shows the rainfall (in cm) recorded in a city on 5 different days. Rainfall: 5, 6, 8, 10, 11. Find the sample variance of the given data. नीचे ददया गया डेटा एक शहर में 5 अलग-अलग ददनों में दजष की गई वर्ाष (सेमी में) दशाषते वर्ाष: 5, 6, 8, 10, 11 ददए गए डेटा का नमूना बवचरण ज्ञात कीजजए।

• A. 7.2
• B. 9.18
• C. 6.5 (Correct)
• D. 8.25

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (C) 6.5.

11. A can complete a work in 18 days and B in 36 days. In how many days can they complete it together?

• A. 10 days
• B. 12 days (Correct)
• C. 14 days
• D. 16 days

Explanation: Together time = AB/(A+B) = 18 x 36/(18 + 36) = 12 days.

12. A, B and C can complete a work in 24, 36, and 72 days respectively. A works daily, and B and C assist him every 4th day. In how many days will the work be completed? A, B और C बकसी काम को क्रमश: 24, 36 और 72 ददनों में पूरा कर सकते हैं। A प्रत्रतददन काम करता है, और B और C हर चौथे ददन उसकी सहायता करते हैं। काम बकतने ददनों में पूरा होगा?

• A. 18 days
• B. 19.5 days (Correct)
• C. 25 days
• D. 16.5 days

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (B) 19.5 days.

13. A can finish a task in 15 days and B in 20 days. They take a contract for Rs. 18.000. Assisted by C, they complete the job in 6 days. What is C’s share of the money? A बकसी काम को 15 ददन में और B 20 ददन में पूरा कर सकता है। वे ₹ 18,000 का ठेका लेते हैं। C की सहायता से वे 6 ददन में काम पूरा कर लेते हैं। C का रहस्सा बकतना है?

• A. Rs. 6,000
• B. Rs. 5,000
• C. Rs. 5,400 (Correct)
• D. Rs. 4,800

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (C) Rs. 5,400.

14. 32 men can dig a canal in 12 days. 3 days after they started working, 10 more men joined them. In how many more days will the remaining work be completed? 32 आदमी एक नहर 12 ददन में खोद सकते हैं। उनके काम शुरू करने के 3 ददन ाद, 10 और आदमी उनके साथ जुड़ गए। शेर् काम बकतने ददनों में पूरा होगा?

• A. 4.85
• B. 6.85 (Correct)
• C. 7.85
• D. 5.85

Explanation: Work Rate = 1/days. Combined work = Sum of individual rates. The correct answer is (B) 6.85.

15. A can complete a work in 16 days and B in 32 days. In how many days can they complete it together?

• A. 9 days
• B. 11 days (Correct)
• C. 13 days
• D. 15 days

Explanation: Together time = AB/(A+B) = 16 x 32/(16 + 32) = 11 days.