Q1. In an examination, 40% marks are required to pass. ‘A’ obtains 10% less than the number of marks required to pass. B obtains 100/9% less than A, and C, 700/17% less than the number of marks obtained by A and B together. Marks obtains by C (in percentage) is:
(a) 42%
(b) 40%
(c) 38%
(d) 36%
(e) 32%
Q2. The ratio of the quantities of an acid and water in a mixture is 1 : 3. If 5 litres of acid is further added to the mixture, the new ratio becomes 1 : 2, the quantity of new mixture in litre is:
(a) 30
(b) 40
(c) 35
(d) 45
(e) 50
Q3. A dairyman pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customer is:
(a) 1 : 10
(b) 1 : 12
(c) 1 : 15
(d) 1 : 20
(e) 2 : 17
Q4. Adam borrowed some money at the rate of 6% per annum for the first two years, at the rate of 9% per annum for the next three years, and at the rate of 14% per annum for the period beyond five years. If he pays a total interest of Rs. 11400 at the end of nine years, how much money did he borrow?
(a) Rs. 13,000
(b) Rs. 12,000
(c) Rs. 11,000
(d) Rs. 12,560
(e) Rs. 14,450
Q5. A and B can do piece of work in 30 days while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days then B and C leave. How many days more will A take to finish the work?
(a) 18 days
(b) 24 days
(c) 30 days
(d) 36 days
(e) 28 days
Q6. A and B can finish a job in 10 days while B and C can do it in 18 days. A started the job, worked for 5 days, then B worked for 10 days and the remaining job was finished by C in 15 days. In how many days could C alone have finished the whole job?
(a) 30
(b) 15
(c) 45
(d) 24
(e) 28
Q7. There are three taps of diameters 1 cm, 4/3 cm and 2 cm. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill the tank alone in 61 minutes. If all the taps are opened simultaneously, how long will the tank take to be filled?
(a) 44 minutes
(b) 45 minutes
(c) 177/4 minutes
(d) 36 minutes
(e) 24 minutes
Q9. A group of students prepared stuffed toys as part of their group activity. They spent Rs. 100 on velvet, Rs 5 on thread and needle and Rs. 27 on miscellaneous items. They made 30 toys, 50% of which were purchased by force by some senior students causing them a loss of 50%. At what % profit should they sell the remaining toys so as to gain 50% on their total cost?
(a) 100%
(b) 150%
(c) 75%
(d) 60%
(e) 65%
Q10. A boat while travelling upstream covers a distance of 18 km at the speed of 3 km/h, whereas while travelling downstream it covers the same distance at a speed of 9 km/h. What is the speed of the boat in still water?
(a) 3 km/h
(b) 5 km/h
(c) 7 km/h
(d) Cannot be determined
(e) 6 km/h
Directions (11-15): What will come in place of question mark (?) in the following no. series?
Q11. 4, 1, 0.5, 0.5, 1, ?
(a) 4
(b) 5
(c) 6
(d) 4.5
(e) 5.5
Q12. 6, 9, 18, 45, 126, ?
(a) 396
(b) 369
(c) 362
(d) 364
(e) 352
Q13. 2, 4.5, 9.5, 19.5, 39.5, ?
(a) 75.5
(b) 77.5
(c) 79.5
(d) 83.5
(e) 69.5
Q14. 677, 785, 901, 1025, ? , 1297
(a) 1162
(b) 1157
(c) 1297
(d) 1264
(e) 1257
Q15. 1, 4, 15, 64, 325, ?
(a) 1856
(b) 1844
(c) 1952
(d) 1956
(e) 1786
(a) 42%
(b) 40%
(c) 38%
(d) 36%
(e) 32%
Q2. The ratio of the quantities of an acid and water in a mixture is 1 : 3. If 5 litres of acid is further added to the mixture, the new ratio becomes 1 : 2, the quantity of new mixture in litre is:
(a) 30
(b) 40
(c) 35
(d) 45
(e) 50
Q3. A dairyman pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customer is:
(a) 1 : 10
(b) 1 : 12
(c) 1 : 15
(d) 1 : 20
(e) 2 : 17
Q4. Adam borrowed some money at the rate of 6% per annum for the first two years, at the rate of 9% per annum for the next three years, and at the rate of 14% per annum for the period beyond five years. If he pays a total interest of Rs. 11400 at the end of nine years, how much money did he borrow?
(a) Rs. 13,000
(b) Rs. 12,000
(c) Rs. 11,000
(d) Rs. 12,560
(e) Rs. 14,450
Q5. A and B can do piece of work in 30 days while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days then B and C leave. How many days more will A take to finish the work?
(a) 18 days
(b) 24 days
(c) 30 days
(d) 36 days
(e) 28 days
Q6. A and B can finish a job in 10 days while B and C can do it in 18 days. A started the job, worked for 5 days, then B worked for 10 days and the remaining job was finished by C in 15 days. In how many days could C alone have finished the whole job?
(a) 30
(b) 15
(c) 45
(d) 24
(e) 28
Q7. There are three taps of diameters 1 cm, 4/3 cm and 2 cm. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill the tank alone in 61 minutes. If all the taps are opened simultaneously, how long will the tank take to be filled?
(a) 44 minutes
(b) 45 minutes
(c) 177/4 minutes
(d) 36 minutes
(e) 24 minutes
Q9. A group of students prepared stuffed toys as part of their group activity. They spent Rs. 100 on velvet, Rs 5 on thread and needle and Rs. 27 on miscellaneous items. They made 30 toys, 50% of which were purchased by force by some senior students causing them a loss of 50%. At what % profit should they sell the remaining toys so as to gain 50% on their total cost?
(a) 100%
(b) 150%
(c) 75%
(d) 60%
(e) 65%
Q10. A boat while travelling upstream covers a distance of 18 km at the speed of 3 km/h, whereas while travelling downstream it covers the same distance at a speed of 9 km/h. What is the speed of the boat in still water?
(a) 3 km/h
(b) 5 km/h
(c) 7 km/h
(d) Cannot be determined
(e) 6 km/h
Directions (11-15): What will come in place of question mark (?) in the following no. series?
Q11. 4, 1, 0.5, 0.5, 1, ?
(a) 4
(b) 5
(c) 6
(d) 4.5
(e) 5.5
Q12. 6, 9, 18, 45, 126, ?
(a) 396
(b) 369
(c) 362
(d) 364
(e) 352
Q13. 2, 4.5, 9.5, 19.5, 39.5, ?
(a) 75.5
(b) 77.5
(c) 79.5
(d) 83.5
(e) 69.5
Q14. 677, 785, 901, 1025, ? , 1297
(a) 1162
(b) 1157
(c) 1297
(d) 1264
(e) 1257
Q15. 1, 4, 15, 64, 325, ?
(a) 1856
(b) 1844
(c) 1952
(d) 1956
(e) 1786
SOLUTIONS
1.B
2.D
3.A
4.B
5.A
6.C
7.D
8.B
9.B
10.E
11.A
12.B
13.C
14.B
15.D
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