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This section includes 714 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 501. |
The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers ? |
| A. | 28 |
| B. | 22 |
| C. | 24 |
| D. | 26 |
| Answer» B. 22 | |
| 502. |
200 litres of a mixture contains milk and water in the ratio 17 : 3. After the addition of some more milk to it, the ratio of milk to water in the resulting mixture becomes 7 : 1. The quantity of milk added to it was |
| A. | 20 litres |
| B. | 40 litres |
| C. | 60 litres |
| D. | 80 litres |
| Answer» C. 60 litres | |
| 503. |
There are three containers of equal capacity. The ratio of Sulphuric acid to water in the first container is 3 : 2, that in the second container is 7 : 3 and in the third container it is 11 : 4. If all the liquids are mixed together, then the ratio of Sulphuric acid to water in the mixture will be : |
| A. | 61 : 29 |
| B. | 61 : 28 |
| C. | 60 : 29 |
| D. | 59 : 29 |
| Answer» B. 61 : 28 | |
| 504. |
In 30 litres mixture of acid, the ratio of acid and water is 2 : 3 . What amount of water should be added to the mixture so that the ratio of acid and water becomes 2 : 5 ? |
| A. | 10 litres |
| B. | 15 litres |
| C. | 18 litres |
| D. | 12 litres |
| Answer» E. | |
| 505. |
The ratio of copper and zinc in brass is 13 : 7. How much zinc will be there in 100 kg of brass ? |
| A. | 20 kg. |
| B. | 55 kg. |
| C. | 35 kg. |
| D. | 40 kg. |
| Answer» D. 40 kg. | |
| 506. |
Zinc and copper are in the ratio of 5 : 3 in 200 gm of an alloy. How much grams of copper be |
| A. | <table><tr><td rowspan="2">133 </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table> |
| B. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">200</td></tr></table> |
| C. | 72 |
| D. | 66 |
| Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">200</td></tr></table> | |
| 507. |
A mixture contains spirit and water in the ratio 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is |
| A. | 10 litres |
| B. | 12 litres |
| C. | 8 litres |
| D. | 9 litres |
| Answer» E. | |
| 508. |
The milk and water in a mixture are in the ratio 7 : 5. When 15 litres of water are added to it, the ratio of milk and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is |
| A. | 35 litres |
| B. | 40 litres |
| C. | 60 litres |
| D. | 96 litres |
| Answer» C. 60 litres | |
| 509. |
Vessels A and B contain mixtures of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5 : 4? |
| A. | 2 : 5 |
| B. | 4 : 3 |
| C. | 5 : 2 |
| D. | 2 : 3 |
| Answer» D. 2 : 3 | |
| 510. |
A container contains 60 kg of milk. From this container 6 kg of milk was taken out and replaced by water. This process was repeated further two times. The amount of milk left in the container is |
| A. | 34.24 kg |
| B. | 39.64 kg |
| C. | 43.74 kg |
| D. | 47.6 kg |
| Answer» D. 47.6 kg | |
| 511. |
The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is : |
| A. | 120 : 133 |
| B. | 227 : 133 |
| C. | 227 : 120 |
| D. | 133 : 227 |
| Answer» C. 227 : 120 | |
| 512. |
A mixture of 30 litres contain milk and water in the ratio of 7 : 3. How much water should be added to it so that the ratio of milk and water becomes 3 : 7 ? |
| A. | 40 litres |
| B. | 49 litres |
| C. | 56 litres |
| D. | 63 litres |
| Answer» B. 49 litres | |
| 513. |
Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing |
| A. | 3 : 5 |
| B. | 5 : 2 |
| C. | 5 : 7 |
| D. | 2 : 7 |
| Answer» E. | |
| 514. |
Zinc and copper are in the ratio 5 : 3 in 400 gm of an alloy. How much of copper (in grams) should be added to make the ratio 5 : 4? |
| A. | 50 |
| B. | 66 |
| C. | 72 |
| D. | 200 |
| Answer» B. 66 | |
| 515. |
In two alloys A and B, the ratio of zinc to tin is 5 : 2 and 3 : 4 respectively. Seven kg of the alloy A and 21 kg of the alloy B are mixed together to form a new alloy. What will be the ratio of zinc and tin in the new alloy ? |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | 2 : 3 |
| D. | 1 : 1 |
| Answer» E. | |
| 516. |
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is |
| A. | 3 litres |
| B. | 4 litres |
| C. | 15 litres |
| D. | 10 litres |
| Answer» E. | |
| 517. |
In a mixture of 75 litres, the ratio of milk to water is 2 : 1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1 : 2 will be |
| A. | 45 litres |
| B. | 60 litres |
| C. | 75 litres |
| D. | 80 litres |
| Answer» D. 80 litres | |
| 518. |
A jar contained a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar, this ratio became 2 : 3. The quantity of liquid A contained in the jar initially was |
| A. | 4 litres |
| B. | 8 litres |
| C. | 16 litres |
| D. | 40 litres |
| Answer» E. | |
| 519. |
In 40 litres mixture of milk and water the ratio of milk to water is 7 : 1. In order to make the ratio of milk and water 3 : 1, the quantity of water (in litres) that should be added to the mixture will be |
| A. | 6 |
| B. | <table><tr><td rowspan="2">6</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table> |
| C. | <table><tr><td rowspan="2">6</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;">3</td></tr></table> |
| D. | <table><tr><td rowspan="2">6</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| Answer» D. <table><tr><td rowspan="2">6</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> | |
| 520. |
In a 729 litres mixture of milk and water, the ratio of milk to water is 7 : 2. To get a new mixture containing milk and water in the ratio 7 : 3, the amount of water to be added is |
| A. | 81 litres |
| B. | 71 litres |
| C. | 56 litres |
| D. | 50 litres |
| Answer» B. 71 litres | |
| 521. |
In a mixture of 25 litres, the ratio of acid to water is 4 : 1. Another 3 litres of water is added to the mixture. The ratio of acid to water in the new mixture is |
| A. | 5 : 2 |
| B. | 2 : 5 |
| C. | 3 : 5 |
| D. | 5 : 3 |
| Answer» B. 2 : 5 | |
| 522. |
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 litres) is |
| A. | 32 |
| B. | 40 |
| C. | 42 |
| D. | 45 |
| Answer» E. | |
| 523. |
The ratio of the volume of water and glycerine in 240cc of a mixture is 1 : 3. The quantity of water (in cc) that should be added to the mixture so that the new ratio of the volumes of water and glycerine becomes 2:3 is |
| A. | 55 cc |
| B. | 60 cc |
| C. | 62.5 cc |
| D. | 64 cc |
| Answer» C. 62.5 cc | |
| 524. |
A mixture contains wine and water in the ratio 3 : 2 and another mixutre contains them in the ratio 4 : 5. How many litres of the later must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of wine and water ? |
| A. | <table><tr><td rowspan="2">5</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> litres</td></tr><tr><td style="text-align: center;">5</td></tr></table> |
| B. | <table><tr><td rowspan="2">5</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> litres</td></tr><tr><td style="text-align: center;">3</td></tr></table> |
| C. | <table><tr><td rowspan="2">4</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> litres</td></tr><tr><td style="text-align: center;">2</td></tr></table> |
| D. | <table><tr><td rowspan="2">3</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2"> litres</td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| Answer» B. <table><tr><td rowspan="2">5</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> litres</td></tr><tr><td style="text-align: center;">3</td></tr></table> | |
| 525. |
A and B are two alloys of gold and copper prepared by mixing metals in the ratio 5 : 3 and 5 : 11 respectively. Equal quantities of these alloys are melted to form a third alloy C. The ratio of gold and copper in the alloy C is |
| A. | 25 : 33 |
| B. | 33 : 25 |
| C. | 15 : 17 |
| D. | 17 : 15 |
| Answer» D. 17 : 15 | |
| 526. |
There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture? |
| A. | 1 : 2 |
| B. | 1 : 1 |
| C. | 2 : 1 |
| D. | 4 : 5 |
| Answer» E. | |
| 527. |
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup ? |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table> |
| B. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">5</td></tr></table> |
| D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">7</td></tr></table> |
| Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">7</td></tr></table> | |
| 528. |
A and B are two alloys of gold and copper prepared by mixing metals in ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be ; |
| A. | 7 : 5 |
| B. | 5 : 9 |
| C. | 9 : 5 |
| D. | 5 : 7 |
| Answer» B. 5 : 9 | |
| 529. |
A container contains two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with B, the ratio of A and B becomes 1:1. How many litres of liquid A was in the container initially ? |
| A. | 26 |
| B. | <table><tr><td rowspan="2">16</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table> |
| C. | <table><tr><td rowspan="2">36</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| D. | <table><tr><td rowspan="2">26</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| Answer» D. <table><tr><td rowspan="2">26</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> | |
| 530. |
The ratio in which a man must mix rice at 10.20 per kg and 14.40 per kg so as to make a |
| A. | 4 : 3 |
| B. | 2 : 5 |
| C. | 18 : 24 |
| D. | 3 : 4 |
| Answer» E. | |
| 531. |
A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Litres of liquid A |
| A. | 10 |
| B. | 20 |
| C. | 21 |
| D. | 25 |
| Answer» D. 25 | |
| 532. |
Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3 ? |
| A. | 3 : 5 |
| B. | 4 : 7 |
| C. | 3 : 8 |
| D. | 5 : 11 |
| Answer» C. 3 : 8 | |
| 533. |
The ratio of number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7 : 6. The number of new girls admitted is |
| A. | 12 |
| B. | 14 |
| C. | 24 |
| D. | 20 |
| Answer» D. 20 | |
| 534. |
If the ratio of two numbers is 1 : 5 and their product is 320, then the difference between the squares of these two numbers is : |
| A. | 1024 |
| B. | 1256 |
| C. | 1536 |
| D. | 1435 |
| Answer» D. 1435 | |
| 535. |
The average of 11 numbers is 36, whereas average of 9 of them is 34. If the remaining two numbers are in the ratio of 2 : 3, find the value of the smaller number (between remaining two numbers). |
| A. | 45 |
| B. | 48 |
| C. | 54 |
| D. | 36 |
| Answer» E. | |
| 536. |
The number of students in three classes are in the ratio 2 : 3 : 4. If 12 students are increased in each class, this ratio changes to 8 : 11 :14. The total number of students in the three classes at the beginning was |
| A. | 162 |
| B. | 108 |
| C. | 96 |
| D. | 54 |
| Answer» B. 108 | |
| 537. |
Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes |
| A. | 39 |
| B. | 49 |
| C. | 66 |
| D. | 77 |
| Answer» C. 66 | |
| 538. |
What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4 ? |
| A. | 8 |
| B. | 7.5 |
| C. | 6.5 |
| D. | 5 |
| Answer» E. | |
| 539. |
If there is a reduction in the number of workers in a factory in the ratio 15 : 11 and an increment in their wage in the ratio 22 : 25, then the ratio by which the total wage of the workers should be decreased is |
| A. | 6 : 5 |
| B. | 5 : 6 |
| C. | 3 : 7 |
| D. | 3 :5 |
| Answer» B. 5 : 6 | |
| 540. |
The total number of students in a school was 660. The ratio between boys and girls was 13 : 9. After some days, 30 girls joined the school and some boys left the school and new ratio between boys and girls became 6 : 5. The number of boys who left the school is : |
| A. | 50 |
| B. | 40 |
| C. | 30 |
| D. | 60 |
| Answer» D. 60 | |
| 541. |
Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number. |
| A. | 27 |
| B. | 33 |
| C. | 49 |
| D. | 55 |
| Answer» C. 49 | |
| 542. |
Two numbers are in the ratio 5 : 7. If 9 is subtracted from each of them, their ratio becomes 7 : 11. The difference of the numbers is |
| A. | 6 |
| B. | 12 |
| C. | 15 |
| D. | 18 |
| Answer» C. 15 | |
| 543. |
The students in three classes are in the ratio 2 : 3 : 5. If 40 students are increased in each class, the ratio changes to 4 : 5 : 7. Originally, the total number of students was : |
| A. | 100 |
| B. | 180 |
| C. | 200 |
| D. | 400 |
| Answer» D. 400 | |
| 544. |
Two numbers are in the ratio 11 : 22 . 23 |
| A. | 27 |
| B. | 36 |
| C. | 48 |
| D. | 64 |
| Answer» D. 64 | |
| 545. |
The ratio of the number of boys and girls of a school with 504 students is 13 : 11. What will be the new ratio if 12 more girls are admitted? |
| A. | 91 : 81 |
| B. | 81 : 91 |
| C. | 9 : 10 |
| D. | 10 : 9 |
| Answer» B. 81 : 91 | |
| 546. |
A and B have money in the ratio 2 : 1. If A gives 2 to B, the money will be in the ratio 1 : 1. |
| A. | 12 and 6 |
| B. | 16 and 8 |
| C. | 8 and 4 |
| D. | 6 and 3 |
| Answer» D. 6 and 3 | |
| 547. |
The ratio of two numbers is 3 : 4 and their HCF is 15. Then the sum of the two numbers is : |
| A. | 105 |
| B. | 115 |
| C. | 120 |
| D. | 110 |
| Answer» B. 115 | |
| 548. |
The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of numbers is |
| A. | 105 |
| B. | 140 |
| C. | 70 |
| D. | 35 |
| Answer» D. 35 | |
| 549. |
A milkman makes 20% profit by selling milk mixed with water at 9 per litre. If the cost price of 1 litre pure milk is 10, then the ratio of milk and water in the mixture is |
| A. | 3 : 1 |
| B. | 4 : 1 |
| C. | 3 : 2 |
| D. | 4 : 3 |
| Answer» B. 4 : 1 | |
| 550. |
The ratio of the number of boys and girls in a school is 8 : 12. If 50% of boys and 25% of girls are getting scholarships for their studies, what is the percentage of school students who are not getting any scholarships ? |
| A. | 65 |
| B. | 66 |
| C. | 67 |
| D. | 68 |
| Answer» B. 66 | |