MCQOPTIONS
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MCQOPTIONS
This section includes 71 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. |
The radii of two concentric circles are 12 cm and 6 cm. AB is the diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E in such a way that it forms an angle of 90 degree at E with A. Point A is joined to D. The length of AD is – |
| A. | 8 cm |
| B. | 3√3 cm |
| C. | 6√7 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 2. |
A solid hemisphere is attached to the base of the right circular cone of diameter 20 cm and height 10 cm if this object is to be inscribed in a right circular cylinder then find the vacant space left in the cylinder? |
| A. | 500 π cm3 |
| B. | 2000 π cm3 |
| C. | 100 π cm3 |
| D. | 1000 π cm3 |
| Answer» E. | |
| 3. |
Two trains are moving in the opposite direction and their speeds are in the ratio of 2 : 1. If the first train crosses a standing man in 5 sec and another train crosses the same man in 8 sec, then determine the time taken by trains to cross each other. |
| A. | 6 sec |
| B. | 3 sec |
| C. | 5 sec |
| D. | 9 sec |
| Answer» B. 3 sec | |
| 4. |
The ratio of efficiency of P is to R is 7 : 4 and the ratio of number of days taken by Q is to R is 2 : 3 while working alone P takes 9 days less than R to complete the work. If Q and R started the work and left after 2 days then find the number of days taken by P to finish the remaining work? |
| A. | 64 days 7 |
| B. | 8 days |
| C. | 32 days 7 |
| D. | 128 days 7 |
| Answer» B. 8 days | |
| 5. |
The population of a town is 31250. If the population increases by 20% in one year, but decreases in second year by 20% and the process goes like this for 6 years. Find the number of women after 6 years if the ratio of women, child and men after 6 years is 5 : 3 : 1. |
| A. | 15360 |
| B. | 12560 |
| C. | 13630 |
| D. | 16930 |
| Answer» B. 12560 | |
| 6. |
Mr. Sharma invested an amount of Rs. 25000 in a fixed deposit at compound interest 8% per annum for two years. What amount Mr. Sharma will get on maturity? |
| A. | Rs. 28540 |
| B. | Rs. 29160 |
| C. | Rs. 29240 |
| D. | Rs. 28240 |
| Answer» C. Rs. 29240 | |
| 7. |
An alloy contains zinc, copper and tin the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be |
| A. | 1 kg 2 |
| B. | 1 kg 8 |
| C. | 3 kg 14 |
| D. | 7 kg 9 |
| Answer» C. 3 kg 14 | |
| 8. |
A man completed certain journey by a car. If he covered 30% of the distance at a speed of 30 km/hr, 60% distance at 20 km/hr and the remaining distance at 5 km/hr then what was his average speed during the entire journey? |
| A. | 20.25 kmph |
| B. | 17.67 kmph |
| C. | 18.5 kmph |
| D. | 16.67 kmph |
| Answer» E. | |
| 9. |
A pendulum at the first floor of an office ticks 90 times in 95 seconds while another pendulum at the second-floor ticks 315 times in 323 seconds. If both the pendulum were started together, how many times will they tick together in the first hour? |
| A. | 100 |
| B. | 200 |
| C. | 300 |
| D. | 400 |
| Answer» B. 200 | |
| 10. |
In a family of husband, wife and a daughter, the sum of the husband’s age, twice the wife’s age, and thrice the daughter’s age is 85; while the sum of twice the husband’s age, four times the wife’s age, and six times the daughter’s age is 170. It is also given that the sum of five times the husband’s age, ten times the wife’s age and fifteen times the daughter’s age equals 450. The number of possible solutions, in terms of the ages of the husband, wife and the daughter, to this problem is |
| A. | 3 |
| B. | 2 |
| C. | 0 |
| D. | Infinite solutions |
| Answer» D. Infinite solutions | |
| 11. |
Men, Women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages are in the proportion of 5 : 3 : 2. When 90 men are employed, total daily wages of all amounts to ₹ 10350. Find the daily wages of a man. |
| A. | Rs. 45 |
| B. | Rs. 57.50 |
| C. | Rs. 115 |
| D. | Rs. 75 |
| Answer» E. | |
| 12. |
An article is sold at 45/2% profit. If the cost price and selling price are increased by Rs. 40 and Rs. 35 respectively, then the profit on that article will be 15%. Find the cost of that article. |
| A. | Rs. 146 2 3 |
| B. | Rs. 156 2 3 |
| C. | Rs. 146 1 3 |
| D. | Rs. 156 1 3 |
| Answer» B. Rs. 156 2 3 | |
| 13. |
A bag contains 20 tickets numbered from 1 to 20. Two tickets are drawn at random. What is the probability that both numbers are prime? |
| A. | 8 20 |
| B. | 14 95 |
| C. | 7 20 |
| D. | 21 190 |
| Answer» C. 7 20 | |
| 14. |
If x + y + z = 9 and xy + yz + zx = 23, then the value of (x3 + y3 + z3 – 3xyz) is : |
| A. | 108 |
| B. | 207 |
| C. | 669 |
| D. | 729 |
| Answer» B. 207 | |
| 15. |
From the top of the 25 m high building the angle of elevation to the top of a tower is equal to angle of depression to the bottom of the tower. Height of the building will be |
| A. | 40 m |
| B. | 48 m |
| C. | 50 m |
| D. | 52 m |
| Answer» D. 52 m | |
| 16. |
Priya and Shina decide to go on a trip to Point Y on a particular day from Point X. Priya leaves for Point Y at 12:00 am at a speed of 36 km/hr. Shina leaves for Point Y at 12 : 30 the same day as Priya left. At what speed should Shina travel to catch up with Priya in 3 hours? (in km/hr) |
| A. | 45 |
| B. | 41 |
| C. | 40 |
| D. | 42 |
| Answer» E. | |
| 17. |
If n + 2 n + 1 n + 1 n = 71, then the value of n is - 3 2 5 |
| A. | 36 |
| B. | 30 |
| C. | 44 |
| D. | 46 |
| Answer» C. 44 | |
| 18. |
A man, a woman or a boy can do a job in 30 days, 60 days and 90 days respectively. How many boys must work with five men and four women to finish the same work in three days? |
| A. | 3 |
| B. | 6 |
| C. | 9 |
| D. | 12 |
| Answer» D. 12 | |
| 19. |
Nine equal cubes each of side 6 cm are joined end-to-end. Find the surface area of the resulting cuboid. |
| A. | 798 sq cm |
| B. | 486 sq cm |
| C. | 2368 sq cm |
| D. | 1368 sq cm |
| Answer» E. | |
| 20. |
The cost price of a petrol and a Diesel together is ₹ 630. If the Petrol costs 10% more than the Diesel, then find the cost price of the petrol and Diesel respectively. |
| A. | Rs. 390 and Rs. 300 |
| B. | Rs. 330 and Rs. 300 |
| C. | Rs. 200 and Rs. 230 |
| D. | Rs. 400 and Rs. 600 |
| Answer» C. Rs. 200 and Rs. 230 | |
| 21. |
Which of the following three categories workers together is 60% of the total number of workers working in that company? |
| A. | A, B, and F |
| B. | A, B, and C |
| C. | B, C, and E |
| D. | B, C, and F |
| Answer» D. B, C, and F | |
| 22. |
If total 1800 workers are working in the company then find the absolute difference between the number of workers in category D and category C ? |
| A. | 306 |
| B. | 323 |
| C. | 289 |
| D. | 286 |
| Answer» B. 323 | |
| 23. |
One day, all the workers were present except 25 out of 102 of category E workers. Find the number of workers present on that day? |
| A. | 600 |
| B. | 625 |
| C. | 575 |
| D. | 550 |
| Answer» D. 550 | |
| 24. |
The number of Category B workers is what percentage more than that of category D workers? |
| A. | 125% |
| B. | 120% |
| C. | 100% |
| D. | 140% |
| Answer» B. 120% | |
| 25. |
In category A, the ratio of male workers to female workers is 2 : 3. The number of female workers in category A is what percentage of the total number of workers in category F? |
| A. | 35.5% |
| B. | 36% |
| C. | 37.5% |
| D. | 38% |
| Answer» C. 37.5% | |
| 26. |
The minimum value of 16 tan2 θ + 25cot2 θ is |
| A. | 5 |
| B. | 4 |
| C. | 30 |
| D. | 40 |
| Answer» E. | |
| 27. |
A cube of side 11 cm is melted and converted into a solid cylinder. It is found that the height of the cylinder so formed is 7 times the length of the rectangle whose width is 1.5 cm and perimeter 4 cm. Find the radius of the cylinder? |
| A. | 3.5 cm |
| B. | 11 cm |
| C. | 7 cm |
| D. | 10 cm |
| Answer» C. 7 cm | |
| 28. |
For what value of k, does the equation 7x2+ 14x + k become perfect square? |
| A. | 7 |
| B. | 8 |
| C. | 6 |
| D. | 9 |
| Answer» B. 8 | |
| 29. |
In the figure below, find the value of AB. |
| A. | √140 |
| B. | √112 |
| C. | √145 |
| D. | √135 |
| Answer» C. √145 | |
| 30. |
If AB || CD || IH and AC || EF,∠BAC= 80° and MN is perpendicular to PO, then find x, y, z using following figure |
| A. | x = 80°, y = 45°, z = 55° |
| B. | x = 80°, y = 55°, z = 45° |
| C. | x = 80°, y = 90°, z = 10° |
| D. | x = 80°, y = 10°, z = 90° |
| Answer» E. | |
| 31. |
A can do a piece of work in 15 days, B can do the same work in 10 days, and C do the same work in 12 days. All three of them do the same work together, then they collectively get Rs. 9000. If B’s share is divided among three new persons D, E and F in the ratio of 1 : 5 : 3 respectively then find the share of F. |
| A. | 1800 |
| B. | 2700 |
| C. | 1400 |
| D. | 1200 |
| Answer» E. | |
| 32. |
A shopkeeper marked up the price of an item by 96% on the actual cost price and allows the discount of 25%. If he gave 2 items free on every dozen purchase, then find the profit percent on sale of 1 dozen items. |
| A. | 35% |
| B. | 36% |
| C. | 25% |
| D. | 26% |
| Answer» E. | |
| 33. |
Lagaan is levied on the 40% of the total land in Village Sitapur. The revenue department collected total Rs. 4,48,800 through the lagaan from the village. Hari, a very rich farmer, paid only Rs. 580 as lagaan for his piece of land. The percentage of total land of Hari over the total taxable land of the village (appox) is: |
| A. | 0.208% |
| B. | 0.125% |
| C. | 0.323% |
| D. | 0.733% |
| Answer» D. 0.733% | |
| 34. |
There are 351 gold coins that are supposed to be divided among Abhay, Vishal and Kishore in the ratio 2 : 3 : 4 but by mistake it was divided in the ratio of 1/2 : 1/3 : 1/4. The number of extra/deficit gold coins incurred to Abhay due to this mistake is? |
| A. | 45 |
| B. | 54 |
| C. | 56 |
| D. | 84 |
| Answer» E. | |
| 35. |
The difference between the time taken by 2 cars to cover 450 Km is 1 hour 30 minutes. If the difference between their speeds is 15 Kmph, find the speed of the slower car? |
| A. | 45 km/hr |
| B. | 60 km/hr |
| C. | 75 km/hr |
| D. | 80 km/hr |
| Answer» C. 75 km/hr | |
| 36. |
What is the average number of users of all the three companies in the given period? |
| A. | 87.5 lakhs |
| B. | 187.5 lakhs |
| C. | 210 lakhs |
| D. | 156.5 lakhs |
| Answer» C. 210 lakhs | |
| 37. |
The total number of users of Modafone and Gio in the year 2016 was what percentage of the number users of Yetel in that year? |
| A. | 50% |
| B. | 100% |
| C. | 150% |
| D. | 125% |
| Answer» E. | |
| 38. |
Total users of all three companies in 2017 are what percentage less than the total users of all the three companies in 2014? |
| A. | 11.9% |
| B. | 9.9% |
| C. | 12.5% |
| D. | 22% |
| Answer» B. 9.9% | |
| 39. |
What is the ratio of the number of users of Yetel to that of Modafone during the period 2015 to 2017. |
| A. | 36 : 37 |
| B. | 39 : 31 |
| C. | 38 : 39 |
| D. | 31 : 39 |
| Answer» C. 38 : 39 | |
| 40. |
In the figure given below, YAX is a tangent to the circle with center O. If ∠BAX = 70° and ∠BAQ = 40°, then what is ∠ABQ equal to |
| A. | 20° |
| B. | 30° |
| C. | 35° |
| D. | 40° |
| Answer» B. 30° | |
| 41. |
Three cubes of metal whose edges are in the ratio 3 : 4 : 5, are melted and one cube is formed. If the diagonal of the cube is 12√3cm, then find the edge of the largest among three cubes. |
| A. | 15 cm |
| B. | 12.5 cm |
| C. | 17.5 cm |
| D. | 10 cm |
| Answer» E. | |
| 42. |
If a + b + c = 0 then the value of a2 + b2 + c2 is: a2 – bc b2 – ca c2 – ab |
| A. | 4 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» C. 1 | |
| 43. |
One flies a kite with a thread 180 meter long. If the thread of the kite makes an angle of 60° with the horizontal line, then the height of the kite from the ground (assuming thread to be in straight line) is |
| A. | 50 meter |
| B. | 90√3 meter |
| C. | 75√3 meter |
| D. | 90 meter |
| Answer» C. 75√3 meter | |
| 44. |
If sinα + (sinα)2= 1, then the value of (cosα)12+ 3 (cosα)10+ 3 (cosα)8+ (cosα )6– 1 is |
| A. | 0 |
| B. | 1 |
| C. | – 1 |
| D. | 2 |
| Answer» B. 1 | |
| 45. |
Two varieties of sugar are mixed in the ratio 3 : 2 and sold for ₹80 per kg to make a profit of 25%. If the cost of the variety of sugar whose quantity is more is ₹40 per kg, what is the cost of the other variety of sugar? |
| A. | Rs. 50 |
| B. | Rs. 48 |
| C. | Rs. 75 |
| D. | Rs. 100 |
| Answer» E. | |
| 46. |
The ratio of the work done by 50 women to the work done by 25 men, in the same time is 4 : 3. If 18 women and 12 men can finish a piece of work in 5 days, then how many women can finish the same work in 20/3 days? |
| A. | 18 |
| B. | 27 |
| C. | 33 |
| D. | 30 |
| Answer» C. 33 | |
| 47. |
If x = √5 + 1 , √5 – 1 then the value of 5x2– 5x – 1 will be |
| A. | 0 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» D. 5 | |
| 48. |
A merchant uses a weight of 125 gram instead of 100 gram while buying an article. He used 80 gram instead of 100 gram while selling. He marked up the price by 20% and then offers 20% discount. Find the overall profit or loss percentage. |
| A. | 20% |
| B. | 30% |
| C. | 40% |
| D. | 50% |
| Answer» E. | |
| 49. |
A right circular cone is cut by 3 planes parallel to its base. The planes cut the altitude of the cone in four equal parts. Find out the ratio of volume of each part. |
| A. | 1 : 7 : 19 : 37 |
| B. | 1 : 8 : 27 : 64 |
| C. | 1 : 9 : 16 : 25 |
| D. | 1 : 2 : 3 : 4 |
| Answer» B. 1 : 8 : 27 : 64 | |
| 50. |
If the profit generated on selling one product produced by A is Rs. 4.5 ,then find the total profit earned on selling all the products of A in all year together. |
| A. | 495 lakhs |
| B. | 395 lakhs |
| C. | 475 lakhs |
| D. | 375 lakhs |
| Answer» B. 395 lakhs | |