Q1. Ratio of CI earned only for 3rd year to CI earned only for 2nd year on an amount Rs. P at R% per annum is 6/5 and CI earned on Rs.(P + 8000) in 2 years at the same rate is Rs.8800. After how many years will Rs. P become Rs.20736 when put at compound interest at the same rate of interest?
(a) 6 years
(b) 2 years
(c) 4 years
(d) 3 years
(e) 7 years
Q2. P, Q and R invested in a business for 8 months, 4 months & 3 months respectively and the investments of P, Q and R are in arithmetic progression respectively. At the end of year profit share of Q is 30% of the total profit obtained by all. If P, Q and R invested in another business with same investments for the period of 8 months, 7 months and 6 months respectively and difference between profit earned by P and Q is Rs.550, then find the total profit obtained by all. (in Rs)
(d)None of these
Q3.Two cars P and Q started to travel towards each other from point a and b respectively. When they met at point X, then the ratio of distance travelled by P and Q is 3:7 respectively and sum of speed of P and Q is 40 km/hour. Speed of Q after reaching point X is reduced by 2 km/hour in each hour. In the time P reached point b from point X Q had travelled 370/3 𝑘𝑚 from point X. Find the total distance between P and Q.
Q4. If 10 men and 15 women complete a piece of work in 16 days while 12 men and 8 women can complete the same piece of work in 20 days. If A boy is 50% less efficient than the man, then find the time taken by 2 men, 4 women and 18 boys to complete the same work.
Q5. A sells fruits in the streets of Gurgaon. Due to recent shortfall in the supply of fruits, he doubles his selling price despite the cost price remains same for him. He realizes that his profit has tripled. Find the original profit percent.
(e) None of these
Q6. Munni purchased a transistor but soon she realized that she got a faulty product for which she applied for replacement. As per replacement policy, only 80% refund of paid amount will be made. She now bought another transistor cost of which is 60% of earlier purchased transistor and replaced it as well. Finally, she purchased a radio cost of which is 40% of second transistor. Finally she is left with Rs 220. Find cost of first transistor.
(a) Rs 600
(b) Rs 300
(c) Rs 400
(d) Rs 500
(e) None of these
Q7. A boat whose speed in still water is twice of speed of stream when travelling upstream found that a ship of 100 m length coming from opposite direction crosses it completely in 20 seconds. The ship can travel a distance of 18 km downstream in 200/3 minutes. Find time taken by boat to travel 400 m upstream. (consider length of boat as negligible as compared to that of ship) (in min)
(d) Cannot be determined
Q8. From a mixture of 40 litres of milk & water, 10 litres mixture is withdrawn & replaced with water due to which ratio of milk & water becomes 9 : 7. Now, ‘X’ liters of mixture is withdrawn & replaced with water. In final mixture, milk is 37.5% of its initial quantity. Find X. (in liters)
Q9. Two dice are rolled simultaneously. What is the probability of getting the sum of results obtained on both dice equal to either 4 or 6 and also results on both dice should be prime?
Q10. The average marks obtained by Karan & Arjun in Physics is 75 while average of marks obtained by Karan in Chemistry & Physics is 85 which is 5 more than marks obtained by Arjun in Mathematics. Arjun’s marks in Chemistry is 90. Karan got 12.5% more marks in Maths than in Physics. Arjun scored 80 average marks in all three subjects. Find Karan’s average marks in Chemistry & Maths.