1. 3 men and 18 children together take 2 days to complete a piece of work. How many days will 18 children alone take to complete the piece of work, if 6 men alone can complete the piece of work in 3 days?
(a) 9
(b) 7
(c) 6
(d) 3
(e) None of these
2. Aarush, Birju and Carol can do a piece of work in 10, 20 and 30 days, respectively. They all begin together. Aarush work continuously till it is finished, Carol leaves the work 2 days before its completion and Birju leaves the work 1 day before its completion. In what appx. time is the work finished?
(a) 10 days
(b) 4 days
(c) 5 days
(d) 7 days
(e) None of the above
3. Total wages of 3 men, 2 women and 4 boys is Rs. 26. If the wages of 3 men is equal to that of 4 women and the wages of 2 women is equal to that of 3 boys, then find out the total wages of 6 men, 8 women and 2 boys?
(a) Rs. 52
(b) Rs. 42
(c) Rs. 65
(d) Rs. 40
(e) Rs. 72
4. A person was appointed for a 50 days job on a condition that he will be paid Rs. 12 for every working day but he will be fined Rs. 6 for every day he remains absent. After the completion of the work, he got Rs. 510. For how many days, he worked?
(a) 15 days
(b) 45 days
(c) 30 days
(d) 20 days
(e) None of the above
5. Total wages for a work is Rs. 1280. A alone can do a piece of work in 8 days, while B alone can do it in 12 days. If A and B work on alternate days, then find the share of B?
(a) Rs. 840
(b) Rs. 580
(c) Rs. 480
(d) Rs. 740
(e) None of these
6. A tap having diameter ‘d’ can empty a tank in 80 min. How long another tap having diameter ‘2d’ take to empty the same tank?
(a) 5 min
(b) 20 min
(c) 10 min
(d) 40 min
(e) 80 min
7. Two pipes A and B can fill a cistern in 15 and 20 min, respectively. Both the pipes are opened together, but after 2 min, pipe A is turned off. What is the total time required by B to fill remaining part of tank?
(a) 46/3 min
(b) 56/3 min
(c) 43/3 min
(d) 47/3 min
(e) None of the above
8. A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty?
(a) 6 : 15 pm
(b) 5 : 12 pm
(c) 8 : 12 pm
(d) 6 : 35 pm
(e) 7 : 12 pm
9. Three pipes A, B and C can fill a tank in 30 min, 20 min and 10 min, respectively. When the tank is empty, all the three pipes are opened. If A, B and C discharge chemical solutions X, Y and Z respectively, then the part of solution Y in the liquid in the tank after 3 min is?
(a) 9/11
(b) 5/11
(c) 4/11
(d) 7/11
(e) None of above
10. Taps A, B and C are attached with a tank and velocities of water coming through them are 45 L/h, 52 L/h and 47 L/h, respectively. A and B are inlets and C is outlet. If all the taps are opened simultaneously, tank is filled in 1 day. What is the capacity of the tank?
(a) 1000 L
(b) 1600 L
(c) 800 L
(d) 1200 L
(e) 1400 L
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