Dear maths lovers, Let your practice begins in minuteness but ends in magnificence.It is impossible to study maths properly by just reading and listening. So, practise, practise & more practise. For that, we are providing here Quant Quiz of 15 questions on Time and Work, in accordance with the syllabus of SSC CGL.We have also provided Study Notes and quizzes on all the topics.

Q1. Yadavjee contractor undertakes to get a work done in 50 days by 50 labourers. After 40 days, he realizes that only 50% of the work is done. How many more men should be employed so that the work is complete on time?

(a) 150

(b) 100

(c) 120

(d) 230

Q2. A can do a work in 4 days. The efficiency of B is half the efficiency of A, efficiency of C is half the efficiency of B and efficiency of D is half the efficiency of C. After they have been grouped in two pairs it is found that the total number of days taken by one group is 2/3

^{rd}the time taken by the other group. Which of the following is a possible group?
(a) AB

(b) BC

(c) CD

(d) AC

Q4. 10 men and 9 women can do a piece of work in 20 days. The same work can be done by 6 men and 12 women in 30 days. In how many days can the same work be done by 1 man and 1 woman?

(a) 198

(b) 156

(c) 145

(d) 256

Q5. A can do a piece of work in ‘a’ days and B can do the same piece of work in ‘b’ days, then the number of days in which both of them will complete the work working together is N. Which of the following can never be true?

(a) 2N is the Arithmetic Mean of a and b

(b) 2N is the Geometric Mean of a and b

(c) 2N is the Harmonic Mean of a and b

(d) None of these

Q6. Sanjay can wash a truck in 45 minutes and he works for six hours a day. How many trucks can he wash in three days?

(a) 24

(b) 12

(c) 21

(d) 15

Q7. N men can do a piece of work in 8 days. The same work can be done by (N + 4) men in 6 days. Find the value of N.

(a) 10

(b) 12

(c) 14

(d) None of these

Q8. A can do half as much work as B in one day. B alone can do a certain work in 12 days. In how many days can A and B together finish that work?

(a) 6 days

(b) 7 days

(c) 8 days

(d) None of these

Q9. Forty persons can finish a work in 60 days. If 40 persons start the work and at the end of every 10 days, 40 more persons of the same efficiency join them, then how long will it take to complete the work?

(a) 30 days

(b) 20 days

(c) 40 days

(d) None of these

Q10. A team has a food stock for N number of days. After 20 days, 1/4

^{th}of the team quits and the food lasted for another N number of days for the remaining persons in the team. What is the value of N?
(a) 50

(b) 60

(c) 70

(d) 80

Q11. The wages of 10 men and 8 boys amount to Rs. 37. If 4 men together receive Re 1 more than 6 boys, what are the wages of each man and boy respectively?

(a) 2.5 and 1.5

(b) 11 and 9

(c) 3 and 4

(d) 6 and 5

Q12. Fourteen machines can produce 500 units in 12 hours. After 4 hours of production, two more machines were started. How many more hours will it take to complete the production of 500 units?

(a) 4

(b) 5

(c) 6

(d) 7

Q13. A cistern can be filled separately by two pipes P and Q in 45 minutes and 35 minutes respectively. A tap R at the bottom can empty the full cistern in 30 minutes. If the tap R is opened 7 minutes after the two pipes P and Q are opened then after what time from the opening of pipe R the cistern becomes full?

(a) 40

^{th}minute
(b) 61

^{st}minute
(c) 37

^{th}minute
(d) None of these

Q14. A can do a job in 20 days, B in 30 days and C in 60 days. If A is helped by B and C every 3

^{rd}day. How long will it take for them to complete the job?
(a) 12 days

(b) 4 days

(c) 15 days

(d) 18 days

Q15. Two filling pipes can fill a tank in 15 hours and 12 hours respectively while a third pipe C can empty it in 20 hours when filled. If the tank is empty and all the three pipes are opened, in how much time will the tank be full?

(a) 14 hours

(b) 10 hours

(c) 6 hours

(d) 8 hours

**Solutions**

S1. Ans.(a)

Sol. Work is to be done in 50 days.

50 × 40 = (50 + x) × 10

x = 150

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