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MCQOPTIONS
This section includes 207 Mcqs, each offering curated multiple-choice questions to sharpen your Mixed Quant Quizzes knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Naveen is twice efficient as Jindal and they can do a piece of work in 15 days. Jindal started the work and after a few days Naveen joined him. They completed the work in 11 days, from the starting. For how many days they work together? |
| A. | 6 days |
| B. | 2 days |
| C. | 3 days |
| D. | 4 days |
| E. | None of these |
| Answer» B. 2 days | |
| 2. |
Dinanath walked 12 km at a certain rate of speed and then 6 km further at a rate of 0.5 km/hr faster. If he had walked the whole distance at a faster rate of speed, his time would have been 20 minute less. How long did Dinanath take to walk the distance of 18 km at his original speed? |
| A. | 160 minutes |
| B. | 200 minutes |
| C. | 270 minutes |
| D. | 320 minutes |
| E. | None of these |
| Answer» D. 320 minutes | |
| 3. |
Ranchi - Patna Jan Shatabdi Express going from Ranchi to Patna and makes 5 stops on the way. 3 persons enter the train during the journey with 3 different tickets. How many different sets of tickets they may have had? |
| A. | 15C3 |
| B. | 12C3 |
| C. | 15C9 |
| D. | 12C9 |
| E. | None of these |
| Answer» B. 12C3 | |
| 4. |
An ancient coin is made of Bronze, an alloy contains copper and tin in the ratio 5 : 1. Another coin is made of Brass, an alloy contains copper and zinc in the ratio 2 : 3. A new coin is formed by melting bronze and brass, such that equal amounts of copper came from brass and bronze. By what percent is the quantity of zinc present, more than the quantity of tin, in the new alloy? |
| A. | 300% |
| B. | 650% |
| C. | 900% |
| D. | 65% |
| E. | None of these |
| Answer» C. 900% | |
| 5. |
My son and some of his friends were organising a picnic. They expected the expenditure to be Rs 500. They mobilised some more students. The number of children who actually went to the picnic increased by 5, the expenditure per head came down by five rupees. How many children went to the picnic? |
| A. | 24 |
| B. | 20 |
| C. | 25 |
| D. | 28 |
| E. | None of these |
| Answer» D. 28 | |
| 6. |
A shopkeeper sold two books together at Rs. 1600 and the profit earned on 2nd book is 6% more than the profit earned on 1st book. If the total profit earned by the shopkeeper was Rs. 200 and the cost price of first book is Rs. 400, then find the selling price of the second book. |
| A. | Rs. 1120 |
| B. | Rs 1140 |
| C. | Rs. 1180 |
| D. | Rs. 1160 |
| E. | None of these |
| Answer» E. None of these | |
| 7. |
Container P and container Q contains water and milk in the ratio 5 : 7 and 6 : 5 respectively. 72 liters and 77 liters of mixture from container P and container Q, respectively is taken out and put into another container R. If initially container P contains 108 liters of mixture, then find the ratio of the amount of water present initially in the container P to the amount of water present in container R. |
| A. | 5 : 8 |
| B. | 6 : 7 |
| C. | 11 : 13 |
| D. | 8 : 5 |
| E. | None of these |
| Answer» B. 6 : 7 | |
| 8. |
In an aeroplane, the total number of seats in a row is the greatest number that will divide 53, 83, 98, 188 and 233 so as to leave the same remainder. The total number of rows is 42. Find the maximum number of persons who can travel in the aeroplane? |
| A. | 800 |
| B. | 360 |
| C. | 630 |
| D. | 720 |
| E. | 840 |
| Answer» D. 720 | |
| 9. |
Anshu and Sneha started a business with invstment of Rs. 1800 and Rs. 1600, respectively. After one year, Anshu decreased her investment by 15% while Sneha increased her investment by 20%. At the end of two years, total profit earned in the business was Rs. 5480, then find the share of profit of Sneha. |
| A. | Rs. 2816 |
| B. | Rs. 3620 |
| C. | Rs. 2664 |
| D. | Rs. 4076 |
| E. | None of these |
| Answer» B. Rs. 3620 | |
| 10. |
A shopkeeper sold an article at 30% profit. Had the shopkeeper sold the article at 15% loss then he would have earned Rs. 360 less. When shopkeeper sold the article at a profit of 30%, then at that time he allowed a discount 35%. Find the marked price of the article. |
| A. | Rs. 1500 |
| B. | Rs. 1600 |
| C. | Rs. 2000 |
| D. | Rs. 1200 |
| E. | None of these |
| Answer» C. Rs. 2000 | |
| 11. |
A bus reaches point Q from point P 30 minutes earlier than normal time if it travels with speed of 70 km/h. If the bus travels with speed of 50 km/h then it reaches point Q 42 minutes later than the normal time. Find the time taken by the bus to cover 440 km with normal speed. |
| A. | 7 hr 30 min. |
| B. | 7 hr 20 min |
| C. | 6 hr 45 min. |
| D. | 8 hr 50 min. |
| E. | 6 hr 40 min. |
| Answer» C. 6 hr 45 min. | |
| 12. |
P and Q can do a work alone in 28 days and 18 days. Q started working before 3 days of the completion of the work and P worked only for 7 days. Another person R worked for all days and total work done in 14 days. What would be the number of days taken by all three to complete the work if they start working together and do the work till completion? |
| A. | 8 9 days 67 |
| B. | 7 35 days 67 |
| C. | 6 3 days 11 |
| D. | 8 35 days 72 |
| E. | None of these |
| Answer» C. 6 3 days 11 | |
| 13. |
Mixture A contains milk and water in the ratio of 7 : 2, while mixture B contains water and milk in the ratio of 1 : 4. If the quantity of milk in both the mixtures is same and the quantity of water in mixture A is 8 litres more than the quantity of water in mixture B, then find the total quantity of mixture A. |
| A. | 315 litres |
| B. | 243 litres |
| C. | 288 litres |
| D. | 360 litres |
| E. | 230 litres |
| Answer» D. 360 litres | |
| 14. |
A solid cone is cut perpendicularly from the middle. If the height and volume of the whole solid cone before cut was 4√3 cm and 64√3 cm3 respectively, then find the total surface area of one of the cut portion. [Use π = 3] |
| A. | 19√3(4√3 + 1) cm2 |
| B. | 16√3(3√3 + 1) cm2 |
| C. | 18√3(5√3 – 2) cm2 |
| D. | 16(3√3 + 1) cm2 |
| E. | None of these |
| Answer» C. 18√3(5√3 – 2) cm2 | |
| 15. |
Prakash and Vikash together can do a work in (120/7) days. Lokesh, who is 20% less efficient than Vikash does the work alone in 50 days. In how many days will Prakash alone do the work completely? |
| A. | 50 days |
| B. | 40 days |
| C. | 25 days |
| D. | 32 days |
| E. | None of these |
| Answer» F. | |
| 16. |
Two trains, Train X and train Y, travels between station A and station B. One day, train X leaves station A at 8:00 AM and train Y leaves station B at 10:00 AM and after meeting, train X takes 2.5 hours to reach station B while train Y takes 6 hours to reach station A. But on another day, both trains departs from station A and train X leaves 1.5 hours after train Y, and both trains reach station B at the same time. What is the time taken by train X to reach station B from station A? |
| A. | 7.5 hours |
| B. | 6.5 hours |
| C. | 9 hours |
| D. | 6 hours |
| E. | None of these |
| Answer» B. 6.5 hours | |
| 17. |
A sum of Rs. ‘x’ is distributed among A, B, C and D in the ratio 3 : 2 : 1 : 5. C and D invested their money in a scheme offering simple interest at the rate 12% pa. A and B invested their money in a scheme offering compound interest at the rate 10% pa compounded annually. After 3 years the difference between the interest earned by A and C together and B and D together is Rs. 7,763. Find the value of x. |
| A. | Rs. 66000 |
| B. | Rs. 67100 |
| C. | Rs. 75900 |
| D. | Rs. 77000 |
| E. | None of these |
| Answer» E. None of these | |
| 18. |
6 years ago, the ratio of the ages of Ganesh and Kartik was 3 : 5, respectively. After 6 years, the ratio of the ages of Kartik and Ganesh would be 4 : 3 respectively. By how many years is Kartik older than Ganesh? |
| A. | 3 |
| B. | 5 |
| C. | 9 |
| D. | 8 |
| E. | None of these |
| Answer» E. None of these | |
| 19. |
A vessel contains mixture of milk and water mixed in the ratio 9 : 5 respectively. 56 litres of the mixture is taken out of the vessel and replaced with 19 litres water so that the ratio of the water to milk in the vessel becomes 6 : 7. Find the difference in the initial quantities of milk and water in the vessel. |
| A. | 44 litres |
| B. | 48 litres |
| C. | 52 litres |
| D. | 56 litres |
| E. | None of these |
| Answer» B. 48 litres | |
| 20. |
A, B and C started a business with initial investments in the ratio of 6 : 4 : 5 respectively. After one year A, B and C made additional investments of Rs. 400, Rs. 250 and Rs. 350 respectively. Find the profit share of A out of the total profit of Rs. 3150 after two years. |
| A. | Rs. 1050 |
| B. | Rs. 1260 |
| C. | Rs. 1580 |
| D. | Rs. 1890 |
| E. | None of these |
| Answer» C. Rs. 1580 | |
| 21. |
Water flows out at the rate of 20 m/min from a cylindrical pipe of radius 5 mm. Find the time taken to fill a conical tank whose diameter at the surface is 40 cm and depth 24 cm. |
| A. | 14 min. |
| B. | 12.8 min. |
| C. | 10.2 min. |
| D. | 15 min. |
| E. | None of these |
| Answer» C. 10.2 min. | |
| 22. |
A man rows to a certain place(downstream) and comes back(upstream), but by mistake he covers 1/3rd more distance while coming back. The total time for this journey is 10 hours. The ratio of speed of boat to that of stream is 2: 1. If the difference between upstream and downstream speed is 12km/hr, then how much time will the man take to reach to starting point from his present position? |
| A. | 35 minutes |
| B. | 45 minutes |
| C. | 60 minutes |
| D. | 40 minutes |
| E. | None of these |
| Answer» E. None of these | |
| 23. |
Saurav travels from Delhi to Patna. He stops at equidistant places, that is Kanpur, Allahabad and Gaya during his journey. He covers the first one-fourth distance at a speed of 60 km/hr, the second one-fourth distance at a speed of 30 km/hr, third one fourth distance at a speed of 40 km/hr the last one-fourth distance at a speed of 60 km/hr. However, while returning, his uniform speed is 60 km/hr and he stops only at Jaunpur, which is exactly at the mid-point between Delhi and Patna. What is the average speed (in km/hr) of Saurav during the whole journey, not considering his halt time? |
| A. | 50.52 |
| B. | 55.25 |
| C. | 52.52 |
| D. | 53.25 |
| E. | None of these |
| Answer» B. 55.25 | |
| 24. |
This year, the cost of a Tomato increased by 20% over that of the last year. Last year a Tomato costed Rs.10 and a Potato costed Rs.5. This year it costs Rs.11 more to buy 5 Potato and 3 Tomato. Find the percentage increase in the price of the Potato. |
| A. | 4% |
| B. | 15% |
| C. | 27% |
| D. | 20% |
| E. | None of these |
| Answer» E. None of these | |
| 25. |
A rectangle of perimeter 120 cm has the maximum possible area. Four squares of side x cm each are cut from each of its corners. The sheet remaining after the squares are cut is folded into a cuboid. Find the value of x (in cm) which maximizes the volume of the cuboid? |
| A. | 6 cm |
| B. | 5 cm |
| C. | 14 cm |
| D. | 1 cm |
| E. | None of these |
| Answer» C. 14 cm | |
| 26. |
When a couple was married, their average age was 22 years. When their first child was born, the average age of all the three became 16 years. When their second child was born, the average of all 4 became 15 years. Find the average age of couple at the time when their second child was born. |
| A. | 20 |
| B. | 28 |
| C. | 30 |
| D. | 32 |
| E. | None of these |
| Answer» C. 30 | |
| 27. |
If the cost of using air conditioner is directly proportional to the time for which it is used, inversely proportional to the number of stars given to it and directly proportional to its power in terms of tons. It cost Rs 450 if a 4 star air conditioner of 2 tonnes is used for 20 hrs. Then how much will it cost if a 5 star air conditioner of 1.5 tonnes is used for 10 hours. |
| A. | Rs. 33.75 |
| B. | Rs. 135 |
| C. | Rs. 170 |
| D. | Rs. 165.75 |
| E. | None of these |
| Answer» C. Rs. 170 | |
| 28. |
ln an election of 3 candidates , Narendra Modi, Rahul Gandhi and Arvind Kejriwal. Narendra Modi gets 40% more votes than Rahul Gandhi . Narendra Modi also beats Arvind Kejriwal by 54000 votes. If it is known that Rahul Gandhi gets 10% more votes than Arvind Kejriwal, find the number of voters on the voting list (given 90% of the voters on the voting list voted and no votes were illegal) |
| A. | 404444 |
| B. | 364000 |
| C. | 400000 |
| D. | 420000 |
| E. | None of these |
| Answer» B. 364000 | |
| 29. |
Two cars start running simultaneously from point A at 1 PM. The difference between the times taken by the cars to travel a distance of 162 km from point A to point B is 1 hours 30 minutes. If the difference between their speeds is 18 km/h, at what time will the faster car reach the point B? |
| A. | 2 PM |
| B. | 5 PM |
| C. | 4 : 30 PM |
| D. | 4 : 00 PM |
| E. | None of these |
| Answer» E. None of these | |
| 30. |
Rohit Shetty borrowed Rs. 950 from Sanjeev Sharma at 14% p.a. Simple interest for 4 years. He then added some more money to the borrowed sum and lent it to Rajesh Kapoor for the same period of time at 15% p.a. Simple interest. If Rohit Shetty gains Rs. 104 in the whole transaction, how much money did he add from his side? |
| A. | Rs. 85 |
| B. | Rs. 100 |
| C. | Rs. 105 |
| D. | Rs. 110 |
| E. | None of these |
| Answer» E. None of these | |
| 31. |
The MS Dhoni friend chittu bought 250 Bats at the rate of Rs. 350 per Bat in Delhi. Chittu spent Rs. 3500 on transportation and packing from Delhi to Ranchi. If the marked price of Bat is Rs. 450 per Bat and the Chittu gives a discount of 10% on the marked price then what will be the percentage profit gained by the Chittu, if all bats sold? |
| A. | 11.26% |
| B. | 14.05% |
| C. | 15.95% |
| D. | 16.01% |
| E. | None of these |
| Answer» B. 14.05% | |
| 32. |
P is an alloy of steel and aluminium and Q is an alloy of aluminium and copper. P has 30% aluminium while Q has 50% aluminium. ‘t’ gms of P is mixed with 30 gms of B to form another alloy which has 45% aluminium. What is the value of ‘t’ ? |
| A. | 15 |
| B. | 11 |
| C. | 10 |
| D. | 13 |
| E. | None of these |
| Answer» D. 13 | |
| 33. |
In a chemical experiment five identical vessels are partially filled with H2SO4. The ratio of the quantities of H2SO4 in the five vessels is 3 : 4 : 5 : 6 : 7. The total quantity of H2SO4 in the vessels is equal to 60% of the total volume of the five vessels. How many vessels are filled with H2SO4 to at least 50% of their volume? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| E. | 5 |
| Answer» D. 4 | |
| 34. |
The diagonal of a square is √2 times of the diagonal of a rectangle area of which is 240 sq. meters. The ratio of length to breadth of the rectangle is 12 : 5. If the radius of the circle is equal to the perimeter of the square, then what is the circumference of the circle? |
| A. | 104 π meters |
| B. | 208 π meters |
| C. | 216 π meters |
| D. | 108 π meters |
| E. | None of these |
| Answer» C. 216 π meters | |
| 35. |
In a mixture of milk and water solution, the concentration of milk is 40%. In what ratio should this mixture mixed with water so that in the new mixture, the concentration of water will become 80%? |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | 1 : 1 |
| D. | 4 : 5 |
| E. | None of these |
| Answer» D. 4 : 5 | |
| 36. |
A person invests Rs. x in a bank under the simple interest for 10 years. After 5 years, he invests another amount which is 50% of the initial investments in the same bank. At the end of 10 years, he received Rs. 4500 interest. If instead of investing 50% more, he had withdrawn 50% and the bank had offered double of the initial rate of interest then he would have received Rs. 900 more. What is the value of x? |
| A. | Rs. 6000 |
| B. | Rs. 9000 |
| C. | Rs. 3000 |
| D. | Rs. 7500 |
| E. | Can't be determined |
| Answer» F. | |
| 37. |
The sum of the present age of Mr. and Ms. Sinha is 54 years. At the time of their marriage, the sum of their age was 44 years. On the occasion of 15th marriage anniversary, the sum of the age of Mr. Sinha, Ms. Sinha, and their one daughter will become 86 years. What is the present age of their daughter? |
| A. | 1 year |
| B. | 2 years |
| C. | 0 year |
| D. | 3 years |
| E. | None of these |
| Answer» C. 0 year | |
| 38. |
In a forest, 14% of the total number of animals are tiger. 40% of the remaining number of animals are elephants and the remaining are others. The difference between the number of tigers and the number of other animals in the forest is 7144. What is the difference between the number of elephants and the number of other animals in the forest? |
| A. | 3268 |
| B. | 3348 |
| C. | 3798 |
| D. | 2848 |
| E. | None of these |
| Answer» B. 3348 | |
| 39. |
A construction company has 100/3% of its employees as women. 50% of these women are married and 100/3% of married women have children. 75% of the men are married and 200/3% of married men have children. If no two employees are married to each other what fraction of the employees do not have children? |
| A. | 13 18 |
| B. | 11 18 |
| C. | 17 18 |
| D. | 7 18 |
| E. | None of these |
| Answer» C. 17 18 | |
| 40. |
A person purchases 100 pens at a discount of 10%. The net amount of money spent by the person to purchase the pens is Rs. 600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for the 100 pens in order to earn a profit of 25%? |
| A. | Rs. 802.50 |
| B. | Rs. 862.50 |
| C. | Rs. 825 |
| D. | Rs. 875 |
| E. | None of these |
| Answer» C. Rs. 825 | |
| 41. |
Two stations Lucknow and Bhadohi are 162 km apart. A train leaves from Lucknow for Bhadohi and simultaneously another train leaves from Bhadohi for Lucknow. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train starting from Bhadohi is: |
| A. | 9 1 km/hr 2 |
| B. | 8 1 km/hr 2 |
| C. | 10 5 km/hr 6 |
| D. | 12 5 km/hr 8 |
| E. | None of these |
| Answer» B. 8 1 km/hr 2 | |
| 42. |
Three persons Amar, Akbar and Anthony invested different amounts in a fixed deposit scheme for one year at the rate of 12% per annum and earned a total interest of Rs 3240 at the end of the year. If the amount invested by Akbar is Rs 5000 more than the amount invested by Amar and the invested by Anthony is Rs 2000 more than the amount invested by Akbar, what is the amount invested by Akbar? |
| A. | Rs. 12000 |
| B. | Rs. 10000 |
| C. | Rs. 8000 |
| D. | Rs. 16000 |
| E. | None of these |
| Answer» C. Rs. 8000 | |
| 43. |
12 marbles are selected at random from a large collection of white, red, green and yellow marbles. The number of marbles of each colour is unlimited. Find the probability that the selection contains atleast one marble of each colour? |
| A. | 34 91 |
| B. | 33 91 |
| C. | 36 91 |
| D. | 23 91 |
| E. | None of these |
| Answer» C. 36 91 | |
| 44. |
On what sum of money will the simple interest for 3 years at 8 percent per annum be half of the compound interest on Rs. 800 for 2 years at 10 percent per annum? |
| A. | Rs. 125 |
| B. | Rs. 150 |
| C. | Rs. 175 |
| D. | Rs. 200 |
| E. | None of these |
| Answer» F. | |
| 45. |
The students of a class are divided into 3 groups depending on their performance in a test – the top, middle and bottom. The top group consists of 45% of the students, the middle group consists of 30% of the students and the rest are in the bottom group. The average marks of the bottom group are 20, those of the middle are 25 while the average marks for the entire class are 26. Find the average marks of the top group. |
| A. | 7 |
| B. | 12 |
| C. | 22 |
| D. | 30 |
| E. | None of these |
| Answer» E. None of these | |
| 46. |
Average age of a class of 30 students is 13 years. The average age of a group of 9 students is 12 years and the average age of another group of 10 students is 14 years. What is the average age of the rest of the students? |
| A. | 14.91 years |
| B. | 13 years |
| C. | 13.91 years |
| D. | 16.91 years |
| E. | 12.91 years |
| Answer» F. | |
| 47. |
A trader has Mangoes worth Rs. 800, a part of which he sells for 10% loss and other part for 20% profit to make overall 10% profit. What is the worth of Mangoes he sold at 10% and 20% respectively? |
| A. | Rs. 233.3, Rs. 566.7 |
| B. | Rs. 266.6, Rs. 533.4 |
| C. | Rs. 280, Rs. 5200 |
| D. | Rs. 600, Rs. 200 |
| E. | None of these |
| Answer» C. Rs. 280, Rs. 5200 | |
| 48. |
A boy goes to school at a speed of 5 km/h and returns to the village at a speed of 4 km/h. If he takes 4 hours and 30 minutes in all, what is the distance between the village and the school? |
| A. | 7 km |
| B. | 10 km |
| C. | 4 km |
| D. | 5 km |
| E. | None of these |
| Answer» C. 4 km | |
| 49. |
A train takes 50 sec to cross a boy travelling at 6 kmph in the opposite direction to it. Another train which is half as long as and 25% faster takes 30 sec to cross the stationary pole. Find the approximate length of the second train. |
| A. | 125 m |
| B. | 100 m |
| C. | 75 m |
| D. | 190 m |
| E. | 148 m |
| Answer» B. 100 m | |
| 50. |
On what sum will the difference between the simple and the compound interest for 3 years at 5 percent per annum amount to Rs. 24.40? |
| A. | Rs. 3300 |
| B. | Rs. 3587 |
| C. | Rs. 3200 |
| D. | Rs. 2800 |
| E. | None of these. |
| Answer» D. Rs. 2800 | |