Explore topic-wise MCQs in Aptitude.

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