1. When two is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number.
(a) 40
(b) 50
(c) 60
(d) 70
(e) none of these
2. The monthly incomes of P and Q are in the ratio 4:3 and their monthly expenditures are in the ratio of 6:5. The monthly savings of P and Q are in the ratio 3:1. The monthly savings of P is Rs. 2500 more than twice the monthly savings of Q. Find the monthly expenditure of P.
(a) Rs. 35000
(b) Rs. 37500
(c) Rs. 43500
(d) Rs. 31500
(e) none of these
3. In a jar, there are 15 white marbles and 35 green marbles. Find the number of green marbles to be removed from the jar so that 40% of its marbles are green (Assume that the marbles in the jar are all either white or green).
(a) 20
(b) 25
(c) 30
(d) 15
(e) none of these
4. A shopkeeper sold an article at 26% profit after giving a 30% discount. Had he not offered any discount, his profit percentage would have been …………….
(a) 60%
(b) 75%
(c) 80%
(d) 90%
(e) none of these
5. A cetain sum yields Rs. 840 more interest if it is invested at 18% p.a. than at 12% p.a. for two years. Find the sum.
(a) Rs. 7000
(b) Rs. 85000
(c) Rs. 8000
(d) Rs. 7500
(e) none of these
6. The average score of a class of 60 students in a test is 55. If the score of the highest scorer and that of the least scorer are excluded, the average score of the class would decrease by 1. The score of the highest scorer is 88 more than that of the least scorer. Find the score of the lease scorer.
(a) 40
(b) 43
(c) 37
(d) 46
(e) none of these
7. E, F and G can complete a job in 20 days, 30 days and 40 days respectively. All of them started the job together. Six days before the completion of the job, E left. F and G completed the remaining part of the job together. Find the total time taken to complete the job.
(a) 10 days
(b) 15 days
(c) 12 days
(d) 9 days
(e) none of these
8. A tank has three pipes P, Q and R. P can fill it in 2 hours. Q and R can empty it in 4 hours and 6 hours respectively. All the pipes were opened at 9 a.m. Q was closed at 10 a.m and R was closed at 11 a.m. Find the time when the tank would be filled.
(a) 11 : 40 a.m
(b) 12 : 20 p.m
(c) 12 : 30 p.m
(d) 12 : 10 p.m
(e) none of these
9. When Anil walked from his home to his school at 3 km/ hr, he reached his school 9 minutes late. When he walked (from his home to his school) at 5 km/hr, he reached his school 11 minutes early. Find the distance from his home to his school.
(a) 2. 5 km
(b) 1.5 km
(c) 2 km
(d) 3 km
(e) none of these
10. Antony, Ben and Charles enter into a business with investments in the ratio of 3: 4: 6. At the end of one year, they shared the profiles in the ratio of 6 : 4 : 3. Find the ratio of the respective time periods for which they invested.
(a) 1 : 2 : 4
(b) 4 : 2 :1
(c) 4 : 1 :2
(d) 1 : 4 :2
(e) none of these
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