1)A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
a) 25 h
b) 40 h
c) 30 h
d) 35 h
e) None of these
2)A tank has a leak which would empty it in 8 h. A tap is turned on which admits 3 L a min into the tank and it is now emptied in 12 h. How many litres does the tank hold?
a) 4320 L
b) 4000 L
c) 2250 L
d) 4120 L
e) None of these
3)The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, son’s age will be?
1) 12 years
2) 14 years
3) 18 years
4) 20 years
3)The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
1) 76 kg
2) 76.5 kg
3) 85 kg
4) Data inadequate
5) None of these
4)1)Excluding stoppage, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
a) 9
b) 10
c) 12
d) 20
e) None of these
5)Two men starting from the same place walk at the rate of 4 kmph and 4.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?
a) 1 hour
b) 4 hrs 15 min
c) 17 hrs
d) 2 hrs. 55 min.
e) None of these
6)7)On a certain sum of money, after 2 years the simple interest and compound interest obtained are Rs 800 and Rs 960 respectively. What is the sum of money invested?
a) Rs 1420
b) Rs 1325
c) Rs 1000
d) Rs 1405
e) Rs 1375
7)On a certain sum of money, after 2 years the simple interest and compound interest obtained are Rs 800 and Rs 960 respectively. What is the sum of money invested?
a) Rs 1420
b) Rs 1325
c) Rs 1000
d) Rs 1405
e) Rs 1375
8)Seven persons are sitting around a round table. What is the probability that three particular persons are sitting together?
a) 1/7
b) 2/7
c) 1/5
d) 2/5
e) 1/6
9)Two places A and B are 600 km apart. A train leaves ‘A’ for ‘B’ and at the same time another train leaves ‘B’ for ‘A’. Both the trains meet after eight hours of starting their journey. If the train travelling from ‘A’ to ‘B’ travels 15 kmh–1 faster than the other train, what is the ratio of the speed of the slower train to the speed of the faster train?
a) 1: 2
b) 2 : 3
c) 3 : 4
d) 4 : 5
e) 3 : 5
10)A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours, for the completion of the same product. If all of them worked together and completed 14 products, then how many hours have they worked?
a)20 hrs
b)28 hrs
c)40 hrs
d)54 hrs
e)none of these