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This section includes 55 Mcqs, each offering curated multiple-choice questions to sharpen your Placement Tests knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What will be the boat's speed in still water and speed of river, if the boat takes 12 hours to row 48 km upstream and 8 hours to row the same distance downstream? |
| A. | Boat = 6 km/hr; River = 4 km/hr |
| B. | Boat = 12 km/hr; River = 6 km/hr |
| C. | Boat = 5 km/hr; River = 1 km/hr |
| D. | Boat = 4 km/hr; River = 3 km/hr |
| E. | Boat = 4 km/hr; River = 3 km/hr |
| Answer» D. Boat = 4 km/hr; River = 3 km/hr | |
| 2. |
Knowing that Vijay’s expenditure for first 3 days is Rs. 100, Rs. 125 and Rs. 85, what is his 4th day expenditure as his 4 days average expenditure Rs. 90? |
| A. | Rs. 220 |
| B. | Rs. 60 |
| C. | Rs. 50 |
| D. | Rs. 90 |
| Answer» D. Rs. 90 | |
| 3. |
A town has population of 50,000 in 1988. In one year i.e. by 1989 it increased by 25%. Next year i.e. in 1990, it decreased by 30%. The next year in 1991 there was an increase of 40%. What is the population at end of 1991? |
| A. | 60250 |
| B. | 62250 |
| C. | 66550 |
| D. | 61250 |
| Answer» E. | |
| 4. |
How to divide 3395 in ratio of 42 : 32 : 23? |
| A. | 1470, 1120 and 805 |
| B. | 1550, 1235 and 610 |
| C. | 1245, 1150 and 1000 |
| D. | 1764, 1022 and 529 |
| Answer» B. 1550, 1235 and 610 | |
| 5. |
If the price of a sugar is raised by 25%, then by how much per cent should a person reduce his consumption of sugar, so that his expenditure remains same? |
| A. | 25% |
| B. | 50% |
| C. | 20% |
| D. | 12.5% |
| Answer» D. 12.5% | |
| 6. |
Find the principal amount invested if the difference between Compound Interest and Simple Interest obtained for 3 years at rate of interest of 25% is Rs. 320? |
| A. | Rs. 1550 |
| B. | Rs. 1575.38 |
| C. | Rs. 1525.50 |
| D. | Rs. 1545.78 |
| Answer» C. Rs. 1525.50 | |
| 7. |
A sum becomes Rs. 3000 at the rate of 12% per annum (simple interest). The same sum becomes Rs. 3300 at the rate of 15% per annum (simple interest) in the same duration. Find the sum and the duration. |
| A. | Rs. 2000 and 20 years |
| B. | Rs. 1900 and 8.25 years |
| C. | Rs. 1500 and 7 years |
| D. | Rs. 1800 and 5.5 years |
| Answer» E. | |
| 8. |
Which is largest amongst 5/8, 2/3, 7/9, 3/5? |
| A. | 5/8 |
| B. | 2/3 |
| C. | 7/9 |
| D. | 3/5 |
| Answer» D. 3/5 | |
| 9. |
On simplification of the following, the result will be (1 - 1/2)(1 - 1/3)(1 - 1/4)……..(1 - 1/100) |
| A. | 0.01 |
| B. | 0.001 |
| C. | 1 |
| D. | 0.1 |
| Answer» B. 0.001 | |
| 10. |
A shopkeeper earns a profit of 15% after selling a book at 20% discount on the printed price. The ratio of the cost price and printed price of the book is? |
| A. | 20:23 |
| B. | 23:20 |
| C. | 16:23 |
| D. | 23:16 |
| Answer» D. 23:16 | |
| 11. |
Successive discounts of 20% and 15% are equivalent to a single discount of |
| A. | 68% |
| B. | 65% |
| C. | 35% |
| D. | 32% |
| Answer» E. | |
| 12. |
How many combinations are possible while selecting four letters from the word ‘SMOKEJACK’ with the condition that ‘J’ must appear in it? |
| A. | 81 |
| B. | 8!/2! |
| C. | 3!/2! |
| D. | 41 |
| Answer» E. | |
| 13. |
There is a leak at the bottom of a cistern. Due to this it takes 8 hours to fill the cistern. Had there not been a leak, it would take one hour less to fill the cistern. How much time does it take for the leak to completely empty the cistern? |
| A. | 48 hours |
| B. | 55(1/3) hours |
| C. | 56 hours |
| D. | 15 hours |
| Answer» D. 15 hours | |
| 14. |
P, Q and R get Rs. 10800 for doing a work in 18 days. P and R get Rs. 3760 for doing the same work in 10 days, while Q and R get Rs. 6080 for doing the same work in 20 days. Find the amount received by R per day? |
| A. | Rs. 95 |
| B. | Rs. 126 |
| C. | Rs. 80 |
| D. | Rs. 200 |
| Answer» D. Rs. 200 | |
| 15. |
Raj swims 26 km downstream in same time as 14 km upstream. What is his speed in still water if speed of stream is 3 km/hr? |
| A. | 10 km/hr |
| B. | 12 km/hr |
| C. | 7 km/hr |
| D. | 4 km/hr |
| Answer» B. 12 km/hr | |
| 16. |
A pipe can fill a tank in 6 hours. Another pipe can empty the tank in 12 hours. If both pipes are opened simultaneously, the part of tank filled by both pipes in 1 hour is? |
| A. | 1/9 th part |
| B. | 1/6 th part |
| C. | 1/12 th part |
| D. | 1/3 rd part |
| Answer» D. 1/3 rd part | |
| 17. |
A tank has three taps P, Q and R. Taps P and Q can fill the tank in 1.5 and 2 hours, respectively. Tap R can empty the completely filled tank in just half hour. Tap P is opened at 8 am, tap Q is opened at 9am and tap R is opened at 10 am. At what exact time will the tank be empty? |
| A. | 12 pm |
| B. | 1.25 pm |
| C. | 12.12 pm |
| D. | 12.28 pm |
| Answer» D. 12.28 pm | |
| 18. |
From P and Q, two trains start moving towards each other at the same time. Their speeds are 120 km/hr and 100 km/hr, respectively. When the two trains meet each other, one train has covered 40 km more than other train. Find the distance between P and Q? |
| A. | 180 kms |
| B. | 260 kms |
| C. | 220 kms |
| D. | 440 kms |
| Answer» E. | |
| 19. |
3 boxes have some average weight. When one box which weighs 89 kg is replaced by another box, the average weight increases by 5 kg. How much the new box weighs? |
| A. | 109 kg |
| B. | 94 kg |
| C. | 104 kg |
| D. | 84 kg |
| Answer» D. 84 kg | |
| 20. |
3 towns P, Q and R are located at the bank of a stream. Distance of Q from P and R is same. Jeet rows from P to Q and Q to P in total 10 hours. Jeet also requires 4 hours to row from P to R. If the stream flows at a consistent rate what will be the ratio of Jeet’s speed in still water and speed of stream? |
| A. | 6:7 |
| B. | 5:3 |
| C. | 5:2 |
| D. | 7:6 |
| Answer» C. 5:2 | |
| 21. |
A tank has oxygen for 72 patients and can last for 54 hours for them. If patients reduce their oxygen consumption by 10%, then 90 patients can use this oxygen supply for how many hours? |
| A. | 24 hours |
| B. | 48 hours |
| C. | 36 hours |
| D. | 42 hours |
| Answer» C. 36 hours | |
| 22. |
2500 children in a school had enough chocolates for 40 days. But some children never came to school and the chocolates lasted for 50 days. How many children never came to school? |
| A. | 700 |
| B. | 1000 |
| C. | 400 |
| D. | 500 |
| Answer» E. | |
| 23. |
A boy was asked to multiply a number by 12. But he multiplied by 21 and got his answer 63 more than the correct answer. The number to be multiplied was |
| A. | 7 |
| B. | 9 |
| C. | 8 |
| D. | 12 |
| Answer» B. 9 | |
| 24. |
Three solid metallic balls of diameter 3cm, 4cm and 5m are melted into a solid sphere. The radius of new sphere is |
| A. | 6 cm |
| B. | 4 cm |
| C. | 3 cm |
| D. | 5 cm |
| Answer» D. 5 cm | |
| 25. |
A number is multiplied by its one-third to get 192. Find the number. |
| A. | 16 |
| B. | 20 |
| C. | 24 |
| D. | 28 |
| Answer» D. 28 | |
| 26. |
What is smallest number with which 5400 may be multiplied so that the product is perfect cube? |
| A. | 5 |
| B. | 3 |
| C. | 4 |
| D. | 6 |
| Answer» B. 3 | |
| 27. |
The sum of four consecutive integers is 1290. The greatest of them is? |
| A. | 321 |
| B. | 322 |
| C. | 323 |
| D. | 324 |
| Answer» E. | |
| 28. |
280 oranges are divided among some boys and girls whose total number is 50 so that each boy gets 5 oranges and each girl get 7 oranges. The number of girls is |
| A. | 30 |
| B. | 35 |
| C. | 15 |
| D. | 20 |
| Answer» D. 20 | |
| 29. |
Two numbers are in ratio 2:3. If 2 be subtracted from the first and 2 be added to the second, the ratio becomes 1:2. Find the sum of the numbers. |
| A. | 30 |
| B. | 28 |
| C. | 24 |
| D. | 10 |
| Answer» B. 28 | |
| 30. |
¾ part of tank is full of water. When 30 litres of water is taken out it becomes empty. The capacity of the tank is? |
| A. | 36 litres |
| B. | 42 litres |
| C. | 40 litres |
| D. | 38 litres |
| Answer» D. 38 litres | |
| 31. |
The greatest length of the scale that can measure exactly 30 cm, 90 cm, 1 m 20 cm and 1 m 35 cm lengths is |
| A. | 5 cm |
| B. | 10 cm |
| C. | 15cm |
| D. | 30 cm |
| Answer» D. 30 cm | |
| 32. |
Express 2/3 of 1/4 of Rs.25.20 as a fraction of 1 1/2 of Rs. 36 |
| A. | 7/90 |
| B. | 11/90 |
| C. | 5/8 |
| D. | 5/42 |
| Answer» B. 11/90 | |
| 33. |
If at same rate of interest, in 2 years, the simple interest is Rs. 40 and compound interest is Rs. 41, then what is the principal? |
| A. | Rs. 500 |
| B. | Rs. 400 |
| C. | Rs. 800 |
| D. | Rs. 820 |
| Answer» C. Rs. 800 | |
| 34. |
P and Q start a cafe with a capital Rs. 20,000 and Rs. 40,000 respectively. After a year, out of the profit of Rs. 15000, P gets his share of profit plus some money as his salary. In total if P gets Rs. 7000, what is the salary amount he received? |
| A. | Rs. 2000 |
| B. | Rs. 5000 |
| C. | Rs. 2500 |
| D. | Rs. 7500 |
| Answer» B. Rs. 5000 | |
| 35. |
Two houses are in front of each other. Both have chimneys on their top. The line joining the chimneys makes an angle of 45° with the ground. How far are the houses from each other if one house is 25m and other is 10m in height? |
| A. | 18 m |
| B. | 12 m |
| C. | 7.5 m |
| D. | 15 m |
| Answer» E. | |
| 36. |
Rohit covers one-fourth of the total distance at 20 km/hr, one-fourth at 10 km/h and rest of his journey at 80 km/h. Find Rohit’s average speed for the whole distance? |
| A. | 22.85 km/hr |
| B. | 25.15 km/hr |
| C. | 50 km/hr |
| D. | 40 km/hr |
| Answer» B. 25.15 km/hr | |
| 37. |
Rohan's age is five times Ajay’s and seven-eighteenth of Meena’s age. The sum of the ages of all three of them is 132 years. How much younger is Ajay to Meena? |
| A. | 56 years |
| B. | 83 years |
| C. | 27 years |
| D. | Cannot be determined |
| Answer» C. 27 years | |
| 38. |
P and Q can do a work in 12 days. Q and R can do the same work in 16 days, and R and P can do it in 24 days. Find the time in which P, Q and R can finish the work together. |
| A. | 9(3/4) days |
| B. | 10 days |
| C. | 11(1/4) days |
| D. | 10(2/3) days |
| Answer» E. | |
| 39. |
Wages of 44 women for 56 days comes to Rs.29568. How many men are needed for 47days to receive Rs. 16920, if the daily wages of a man being 5 times those of a woman? |
| A. | 9 men |
| B. | 8 men |
| C. | 6 men |
| D. | 5 men |
| Answer» D. 5 men | |
| 40. |
When payment is made online, discount offered is 10%. Additional discount of 5% is given to SBI credit card holders. Pratik buys a phone of Rs. 15000 by paying online and pays through his SBI credit card. How much does he need to pay? |
| A. | Rs. 15000 |
| B. | Rs. 12825 |
| C. | Rs. 13500 |
| D. | Rs. 12750 |
| Answer» C. Rs. 13500 | |
| 41. |
Ajay has 2 cones with him. 1st cone has radius twice the other and height half the other. What is volume ratio of 1st and 2nd cones? |
| A. | 2:1 |
| B. | 3:4 |
| C. | 1:2 |
| D. | 4:3 |
| Answer» D. 4:3 | |
| 42. |
When difference between compound and simple interest for three years is Rs. 122 at 5% rate per annum, the principal is ______ |
| A. | Rs. 24400 |
| B. | Rs. 14400 |
| C. | Rs. 18000 |
| D. | Rs. 16000 |
| Answer» E. | |
| 43. |
In Cricket League, in first round every team plays a match with every other team. 9 teams participated in the Cricket league. How many matches were played in the first round? |
| A. | 36 |
| B. | 72 |
| C. | 9! |
| D. | 9! - 1 |
| Answer» B. 72 | |
| 44. |
The least common multiple of two numbers is 168 and highest common factor of them is 12. If the difference between the numbers is 60, what is the sum of the numbers? |
| A. | 108 |
| B. | 96 |
| C. | 122 |
| D. | 144 |
| Answer» B. 96 | |
| 45. |
By what least number should we multiply 1008 to make it a perfect square? |
| A. | 8 |
| B. | 7 |
| C. | 2 |
| D. | 5 |
| Answer» C. 2 | |
| 46. |
A started a travel agency using his Rs. 45000. B realized the profit in the business and joined after 3 months with his Rs. 60000. C came a bit late and after another 6 months invested Rs. 90000. Out of total profit of Rs. 20000 obtained after a year, what is share of C? |
| A. | Rs. 5000 |
| B. | Rs. 4000 |
| C. | Rs. 9000 |
| D. | Rs. 9500 |
| Answer» C. Rs. 9000 | |
| 47. |
When two coins are tossed simultaneously, what are the chances of getting at least one tail? |
| A. | 3/4 |
| B. | 1/5 |
| C. | 4/5 |
| D. | 1/4 |
| Answer» B. 1/5 | |
| 48. |
Raj can build a house alone in 16 days but Suraj alone can build it in 12 days. Raj and Suraj work on alternate days. If Raj works on first day, the house will be built in how many days? |
| A. | 12.5 days |
| B. | 13(3/4) days |
| C. | 48/7 days |
| D. | 24/7 days |
| Answer» C. 48/7 days | |
| 49. |
If a tank can be build by 18 men in 28 days while working for 9 hours per day, how many hours per day do 21 men have to work for 36 days, to complete the same tank? |
| A. | 4 |
| B. | 5 |
| C. | 9 |
| D. | 6 |
| Answer» E. | |
| 50. |
A boy was asked to multiply a number by 12. But he multiplied by 21 and got his answer 63 more than the correct answer. The number to be multiplied was |
| A. | 7 |
| B. | 9 |
| C. | 8 |
| D. | 12 |
| Answer» B. 9 | |