MCQOPTIONS
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MCQOPTIONS
This section includes 51 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. |
Tap P alone fills a cistern in 2 hours; while tap Q alone fills the same cistern in 3 hours. A new tap R is attached to the bottom of the cistern which can empty the completely filled cistern in 6 hours. Sunny started all three taps together at 9am. When will the tank be full? |
| A. | 10.30 am |
| B. | 11.15 am |
| C. | 12 pm |
| D. | 9.45 am |
| Answer» B. 11.15 am | |
| 2. |
P, Q and R get Rs.1105 for doing a job together. While working alone, P, Q and R need 7days, 8 days and 11 days respectively to complete the job. Then what would be the share of each? |
| A. | P = Rs. 440; Q = Rs. 385; R = Rs. 280 |
| B. | P = Rs. 500; Q = Rs. 400; R = Rs. 205 |
| C. | P = Rs. 445; Q = Rs. 375; R = Rs. 285 |
| D. | P = Rs. 446; Q = Rs. 381; R = Rs. 278 |
| Answer» B. P = Rs. 500; Q = Rs. 400; R = Rs. 205 | |
| 3. |
The value of 25.25 – 23.23 + 24.24 is |
| A. | 26 |
| B. | 26.26 |
| C. | 2.2 |
| D. | -22.22 |
| Answer» C. 2.2 | |
| 4. |
An amount becomes 4 times in 6 years. In how many years will it become 64 times if the rate of interest remains unchanged? |
| A. | 24 years |
| B. | 18 years |
| C. | 16 years |
| D. | 12 years |
| Answer» C. 16 years | |
| 5. |
The price of milk was first increased by 10% and then decreased by 20%. What is the net percentage change in final price of milk? |
| A. | 12% |
| B. | 15% |
| C. | 10% |
| D. | 7.5% |
| Answer» B. 15% | |
| 6. |
If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25? |
| A. | 75 |
| B. | 65 |
| C. | 15 |
| D. | 45 |
| Answer» E. | |
| 7. |
The population of a city is 50,000 at present. It increases at the rate of 10% per annum. What was its population 4 years ago from present? |
| A. | 36, 561 |
| B. | 35, 450 |
| C. | 34,151 |
| D. | 33,333 |
| Answer» D. 33,333 | |
| 8. |
a:b = 3:7 and b:c = 9:5. What is a:b:c? |
| A. | 3:15:5 |
| B. | 21:16:45 |
| C. | 3:7:5 |
| D. | 27: 63:35 |
| Answer» E. | |
| 9. |
M invests Rs. 4000 in coaching classes. After 3 months N comes along with Rs. 8000. P comes in with Rs. 20000. The classes earn a profit of Rs. 112000 at the end of the year. If profits of M, N and Pare in ratio of 6:9:5, for how many months was P involved? |
| A. | 5 months |
| B. | 6 months |
| C. | 2 months |
| D. | 3 months |
| Answer» D. 3 months | |
| 10. |
An amount becomes 7 times in 15 years. In how many years will the same amount become 10 times? The rate of interest remains the same for both cases. |
| A. | 20 years |
| B. | 18.75 years |
| C. | 22.50 years |
| D. | 21.50 years |
| Answer» D. 21.50 years | |
| 11. |
Amit gave his friend Rs. 11000. This loan was to be repaid in 3 yearly installments with a rate of interest of 20% compounded annually. How much would be the value of each installment? |
| A. | Rs. 3666.67 |
| B. | Rs. 5221.97 |
| C. | Rs. 5000 |
| D. | Rs. 4528.69 |
| Answer» C. Rs. 5000 | |
| 12. |
Pratik travels 96 km at a speed of 16 km/hr using a bike, 124 km at 31 km/h by car and another 105 km at 7 km/h in horse cart. Then, find his average speed for the entire distance travelled? |
| A. | 18 km/hr |
| B. | 14.25 km/hr |
| C. | 13 km/hr |
| D. | 16.75 km/hr |
| Answer» D. 16.75 km/hr | |
| 13. |
A boy increases his speed to 9/5 times of his original speed. By this he reaches his school 30 minutes before the usual time. How much time does he takes usually? |
| A. | 70.50 min |
| B. | 54 min |
| C. | 66.67 min |
| D. | 67.50 min |
| Answer» E. | |
| 14. |
Rohan wants to build a tank in 20 days for which he hires 60 workers. After 10 days, he sees that only 30% work has been done. To speed up the process and get the tank built in stipulated time, how many workers should work on the tank? |
| A. | 80 |
| B. | 120 |
| C. | 200 |
| D. | 140 |
| Answer» E. | |
| 15. |
P, Q and R start a hotel. Q and R invest equally but P invests one-fifth of the total investment amount. On getting profit of Rs. 225000, how much would be difference between profit of P and R? |
| A. | Rs. 90000 |
| B. | Rs. 45000 |
| C. | Rs. 71000 |
| D. | Rs. 112500 |
| Answer» C. Rs. 71000 | |
| 16. |
Simran bought pet food worth Rs. 56000. She then sold 1/3rd of it incurring a loss of 40%. What profit she must earn on rest of the supplies to nullify this loss? |
| A. | 25% |
| B. | 20% |
| C. | 45% |
| D. | 50% |
| Answer» C. 45% | |
| 17. |
Without repetition, using digits 2, 3, 4, 5, 6, 8 and 0, how many numbers can be made which lie between 500 and 1000? |
| A. | 70 |
| B. | 147 |
| C. | 60 |
| D. | 90 |
| Answer» E. | |
| 18. |
What will be increase in area of an equilateral triangle if its side is increased by 20%? |
| A. | 20% |
| B. | 40% |
| C. | 44% |
| D. | 33% |
| Answer» D. 33% | |
| 19. |
How much does the sarees sales revenue of Uday increase, if Uday announces 25% discount on sarees and the saree sales volume increase by 40%? |
| A. | 15% increase |
| B. | 5% increase |
| C. | -5% increase |
| D. | There is no increase |
| Answer» C. -5% increase | |
| 20. |
Vijay rows a boat 80 km along the stream in 1 hour 20 minutes. Given that his rowing speed in still water is 45 km/hr, in how much time will he cover the same distance against the stream? |
| A. | 4 hours |
| B. | 3 hours 10 minutes |
| C. | 2 hours 40 minutes |
| D. | 2 hours 30 minutes |
| Answer» D. 2 hours 30 minutes | |
| 21. |
There are 2 trains P and Q moving in same direction. They are of equal length and cross a stationary pole in 5 seconds and 6 seconds respectively. In how much time would they cross each other? |
| A. | 30 seconds |
| B. | 11 seconds |
| C. | 60 seconds |
| D. | 1 second |
| Answer» D. 1 second | |
| 22. |
Total wages of 6 men, 4 women and 8 boys is Rs. 26. If the wages of 6 men is equal to that of 8 women and the wages of 4 women is equal to that of 6 boys, then find out the total wages of 8 men, 6 women and 4 boys? |
| A. | Rs. 32 |
| B. | Rs. 24 |
| C. | Rs. 25 |
| D. | Rs. 29 |
| Answer» E. | |
| 23. |
What will be Raj’s speed in still water as well as speed of the river, if he can go downstream at 18 km/hr and upstream at 10 km/hr? |
| A. | Raj = 10 km/hr ; River = 5 km/hr |
| B. | Raj = 14 km/hr ; River = 4 km/hr |
| C. | Raj = 28 km/hr ; River = 8 km/hr |
| D. | Raj = 8 km/hr ; River = 28 km/hr |
| Answer» C. Raj = 28 km/hr ; River = 8 km/hr | |
| 24. |
Raj swims for 6 ½ hours while going 24 km downstream and 36 km upstream. But he takes just 6 hours to swim 36 km downstream and 24 km upstream. At what rate is the river flowing? |
| A. | 6 km/hr |
| B. | 3 km/hr |
| C. | 2 km/hr |
| D. | 4 km/hr |
| Answer» D. 4 km/hr | |
| 25. |
Without considering the salary of the boss, the average salary reduces by Rs. 1000. What will be salary of boss if average salary of 11 employees and the boss is Rs. 18000? |
| A. | Rs. 30000 |
| B. | Rs. 27000 |
| C. | Rs. 36000 |
| D. | Rs. 29000 |
| Answer» E. | |
| 26. |
Convert 0.88 into vulgar fraction |
| A. | 80/99 |
| B. | 44/45 |
| C. | 22/25 |
| D. | 8/9 |
| Answer» E. | |
| 27. |
40 boys working 9 hours per day paint a house in 96 days. How many hours per day 48 boys need to work so they can paint the house in 45 days? |
| A. | 24 |
| B. | 16 |
| C. | 18 |
| D. | 27 |
| Answer» C. 18 | |
| 28. |
Raj decides to sell his watch at 5% discount. But his brother buys it from him and he gives his brother 8% discount. Due to this Raj gets Rs. 45 less in the profit. What was the marked price of the watch? |
| A. | Rs. 1500 |
| B. | Rs. 1800 |
| C. | Rs. 6000 |
| D. | Rs. 9000 |
| Answer» B. Rs. 1800 | |
| 29. |
At what time between 7 o'clock and 8 o'clock, will the hands of a clock be together? |
| A. | 33(5/12) minutes past 7 o’ clock |
| B. | 38(2/11) minutes past 7 o’ clock |
| C. | 35(7/11) minutes past 8 o’ clock |
| D. | 32(1/11) minutes before 8 o’ clock |
| Answer» C. 35(7/11) minutes past 8 o’ clock | |
| 30. |
What least possible 4-digit number, when divided by 12, 16, 18 and 20 leaves 21 as remainder? |
| A. | 36 |
| B. | 133 |
| C. | 144 |
| D. | 1461 |
| Answer» E. | |
| 31. |
What will be least number of marbles with Rohit if he can arrange them in rows of 18, 10 and 15 marbles each as well as make a perfect solid square out of all the marbles? |
| A. | 133 |
| B. | 43 |
| C. | 90 |
| D. | 900 |
| Answer» E. | |
| 32. |
On exchanging the digits in unit’s and ten’s place, the difference between original and new numbers becomes 27. The digit in the unit's place is 2 times the digit in the hundred's place. The digit in the ten’s place is 3 times the digit in the hundred’s place. What is 75% of the original number? |
| A. | 99 |
| B. | 369 |
| C. | 297 |
| D. | 396 |
| Answer» D. 396 | |
| 33. |
The sum of 2 numbers is 36 and their product is 248. What will be the sum of their reciprocals? |
| A. | 9/62 |
| B. | 65/248 |
| C. | 212 |
| D. | 248/36 |
| Answer» B. 65/248 | |
| 34. |
3 birds fly along the circumference of a jungle. They complete one round in 27 minutes, 45 minutes and 63 minutes respectively. Since they start together, when will they meet again at the starting position? |
| A. | 945 minutes |
| B. | 126 minutes |
| C. | 135 minutes |
| D. | 9 hours |
| Answer» B. 126 minutes | |
| 35. |
Ramesh mixes 60 litres of Type-1 acid with some litres of Type-2 acid. Type-1 acid rate is Rs. 32 per litre while Type-2 rate is Rs. 23 per litre. Ramesh sells this acid-mix at rate Rs. 28 per litre. How much Type-2 acid is needed to make it a no profit no loss transaction? |
| A. | 48 litres |
| B. | 36 litres |
| C. | 24 litres |
| D. | 50 litres |
| Answer» B. 36 litres | |
| 36. |
On rolling a dice 2 times, the sum of 2 numbers that appear on the uppermost face is 8. What is the probability that the first throw of dice yields 4? |
| A. | 2/36 |
| B. | 1/36 |
| C. | 1/6 |
| D. | 1/5 |
| Answer» C. 1/6 | |
| 37. |
The average age of 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age? |
| A. | 33 years |
| B. | 30 years |
| C. | 27 years |
| D. | 24 years |
| Answer» D. 24 years | |
| 38. |
P and Q together can do a work in 18 days. P alone can do the same work in 27 days. In how many days can Q alone do the same work? |
| A. | 54 days |
| B. | 36 days |
| C. | 45 days |
| D. | 9 days |
| Answer» B. 36 days | |
| 39. |
If Ram and Shyam together can build a house in 10 days; Ram and Arun can build it together in 12 days and Shyam and Arun can build it in 15 days. Shyam, Ram and Arun start working together. In how many days they build the house? |
| A. | 6 days |
| B. | 4 days |
| C. | 8 days |
| D. | 12 days |
| Answer» D. 12 days | |
| 40. |
In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included? |
| A. | 3 |
| B. | 30 |
| C. | 64 |
| D. | 84 |
| Answer» D. 84 | |
| 41. |
Average age of 7 family members is 75 years. But average age of 6 of them is 74 years 6 months. What is the age of the 7th family member? |
| A. | 75.5 |
| B. | 78 |
| C. | 68 |
| D. | 80 |
| Answer» C. 68 | |
| 42. |
Jammu Express is 1.2 km long and is running along the Kerala express at speed of 80km/hr. Kerala express is 2/3rd the length of Jammu express and runs at 60 km/hr. How much time will it take for Jammu express to overtake the Kerala express? |
| A. | 12 minutes |
| B. | 6 minutes |
| C. | 3 minutes |
| D. | 8 minutes |
| Answer» C. 3 minutes | |
| 43. |
A can complete a work in 12 days and B can complete in 8 days. A works for 8 hours every day while B works for 10 hours every day. If A and B together start working 8 hours per day, in how many days will they complete the work? |
| A. | 8 days |
| B. | 60/11 days |
| C. | 39/12 days |
| D. | 15/8 days |
| Answer» C. 39/12 days | |
| 44. |
Ramesh and Suresh start a hotel. Ramesh invested Rs. 6000 and Suresh invested Rs. 5000. Ramesh’s investment was for 4 months and Suresh’s was for 8 months. If total profit was Rs. 6000, how much more profit than Ramesh did Suresh get? |
| A. | Rs. 1500 |
| B. | Rs. 4500 |
| C. | Rs. 3000 |
| D. | Rs. 1800 |
| Answer» B. Rs. 4500 | |
| 45. |
Guddi invested some money in a bank at rate of 6% per annum. At simple interest, after 9 years, she got Rs. 8470. How much did she invest? |
| A. | Rs. 5250 |
| B. | Rs. 6550 |
| C. | Rs. 6400 |
| D. | Rs. 5500 |
| Answer» E. | |
| 46. |
In a drawer there are 5 black socks and 3 green socks. Two socks are picked randomly one after the other without replacement. What is the possibility that both the socks are black? |
| A. | 5/14 |
| B. | 5/8 |
| C. | 3/8 |
| D. | 5/16 |
| Answer» B. 5/8 | |
| 47. |
A wooden rectangular plank has dimensions 12m and 6 m. Three circular portions are cut from the plank having diameters 2m, 2m and 1m.How much area of the plank remains? |
| A. | (288-9π)/3 sq.m. |
| B. | (288-3π)/4 sq.m. |
| C. | (72-9π)/4 sq.m. |
| D. | (288-9π)/4 sq.m. |
| Answer» E. | |
| 48. |
A can complete a work in 12 days and B can complete in 8 days. A works for 8 hours every day while B works for 10 hours every day. If A and B together start working 8 hours per day, in how many days will they complete the work? |
| A. | 8 days |
| B. | 60/11 days |
| C. | 39/12 days |
| D. | 15/8 days |
| Answer» C. 39/12 days | |
| 49. |
A boy increases his speed to 9/5 times of his original speed. By this he reaches his school 30 minutes before the usual time. How much time does he takes usually? |
| A. | 70.50 min |
| B. | 54 min |
| C. | 66.67 min |
| D. | 67.50 min |
| Answer» E. | |
| 50. |
40 boys working 9 hours per day paint a house in 96 days. How many hours per day 48 boys need to work so they can paint the house in 45 days? |
| A. | 24 |
| B. | 16 |
| C. | 18 |
| D. | 27 |
| Answer» C. 18 | |