Q1. Ramesh borrowed a certain sum from Amit at a certain rate of simple interest for 2 yr. He lent this sum to Rohan at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 6600 as compound interest but paid Rs. 6000 only as simple interest, find the rate of interest.
(a) 15%
(b) 20%
(c) 35%
(d) 10%
(e) None of these
Q2. A pump can be used for filling as well as for empting a tank. The capacity of the tank is 2400 m^3. The emptying capacity of the tank is 10 m^3per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump ?
(a) 50 m^3/min
(b) 60 m^3/min
(c) 72 m^3/min
(d) 70m^3/min
(e) None of these
Q3. P and Q together can finish a work in 15 days. P and R takes 2 days more to complete the same work than Q and R. P, Q and R can complete the work in 8 days. In how many days P can finish it separately?
(a) 40
(b) 24
(c) 17 1/7
(d) 20
(e) None of these
Q4. Two friends A and B jointly lent out Rs. 84460 at 6% per annum compound interest. After 2 yr, A gets the same amount as B gets after 3 yr. The investment made by B was
(a) Rs. 41000
(b) Rs. 40000
(c) Rs. 45000
(d) Rs. 38000
(e) None of these
Q5. Abhay and Anushka started a business and invested Rs. 12,500 and Rs. 20,000 respectively. At the end of year they decided to distribute 50% of profit equally among them and remaining in capital ratio. Had they distributed entire profit in capital ratio, Abhay got Rs. 3,78 less. Find the total profit amount.
(a) Rs. 6,000
(b) Rs. 6,552
(c) Rs. 5500
(d) Rs. 5650
(e) None of these
Q6. A alone would take 27 hours more to complete the job than if both A and B would together. If B worked alone, he took 3 hours more to complete the job than A and B worked together. What time, would they take if both A and B worked together?
(a) 8 hours
(b) 10 hours
(c) 9 hours
(d) 6 hours
(e) None of these
Q7. An alloy of silver and copper weighs 70 g. It contains 60% silver. How much silver should be added to the alloy so that percentage of silver is increased to 80?
(a) 70 g
(b) 60 g
(c) 65 g
(d) 80 g
(e) None of these
Q8. A bottle contains three-fourths of milk and the rest water. How much of the mixture must be taken away and replaced by an equal quantity of water so that the mixture has half milk and half water?
(a) 25%
(b) 331/3%
(c) 45%
(d) 50%
(e) None of these
Q9. How many 5 digit numbers can be formed by using the numbers 0,1,2,3,4 without repetition of numbers given ?
(a) 92
(b) 96
(c) 102
(d) 88
(e) 120
Directions (10-15): In the questions below, one number is wrong in each number series. Find out the wrong number.
Q10. 2 6 21 88 450 2676
(a) 2
(b)2676
(c)450
(d)21
(e)88
Q11. 3 11 38 195 1375 15075
(a)11
(b)38
(c)195
(d)1375
(e)15075
Q12. 484 240 120 57 26.5 11.25 3.625
(a) 240
(b) 120
(c) 57
(d) 26.5
(e) 11.25
Q13. 3 5 13 43 176 891 5353
(a) 5
(b) 13
(c) 43
(d) 176
(e) 891
Q14. 5 7 16 57 244 1245 7506
(a) 7
(b) 16
(c) 57
(d) 244
(e) 1245
Q15. 4 2.5 3.5 6.5 15.5 41.25 126.75
(a) 2.5
(b) 3.5
(c) 6.5
(d) 15.5
(e) 41.25
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