Ratio and Proportion for CAT

QUESTION 1

If a:b is 4:7, find the ratio (a+ 5) : (b+3)

1. 9:10
2. 4:7
3. 3:2
4. cannot be determined

QUESTION 2

If a:b is 4:7, find the ratio (a+ 8) : (b+14)

1. 9:10
2. 4:7
3. 3:2
4. cannot be determined

QUESTION 3

In a school, ratio of Boys to Girls is 5:9, If number of Girls are 72, find number of boys

1. 40
2. 35
3. 30
4. 45

QUESTION 4

The ratio of distance by Ram and Shyam is 16:9. If Ram travelled 42 kms more than shyam, find distance travelled by ram. 

1. 16
2. 96
3. 54
4. none of the above

QUESTION 5

The ratio of volumes of milk and Water in a container is 8:5. If quantity of water is 15 litres less than quantity of milk. Find the total volume of the container.

.

1. 16
2. 96
3. 65
4. 49

QUESTION 6

8 out of every 11 kids in a particular colony say they don’t like Cricket IPL and the rest say that they like Cricket IPL. If 36 kids like Cricket IPL, how many kids are there?

1. 132
2. 150
3. 121
4. None of the above

QUESTION 7

Tappu scored marks in QA,LRDI and VA in the ratio 15:16:20. If the average marks scored in the three subjects is 85 marks, find the difference between the marks scored in VA and that scored in QA.

1. 5
2. 15
3. 20
4. 25

QUESTION 8

Rs.1225 again among Julie, Bobby and Noorie so that If Rs.10, 9 and 6 are subtracted from their respective shares the remainder should be in the ratio of 3 : 4 : 5. Find the share of Bobby?

1. 400
2. 409
3. 506
4. none of the above

QUESTION 9

The ratio of the marks obtained by Ram and Shyam in their exams is 5 : 7. If five times the marks obtained by Ram is 12 more than thrice the marks obtained by Shyam, find the difference in their marks ?

1. 12
2. 6
3. 9
4. none of the above

QUESTION 10

The ratio of the first class fare and second class fare is 5:3 and that of the number of passengers travelling by the first class and by the second class is 2:25. If Rs.8500 is collected as fare, then the amount collected from the second class passenger is

1. 1000
2. 7290
3. 6500
4. 7500

QUESTION 11

CAT 2020 Slot-1 Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs 250

1. 6350
2. 7250
3. 6500
4. 7500

QUESTION 12

If Rs.8500 is divided among A,B,C and D such that A:B = 2:3, B:C =4:3 and C:D = 2:3. Find the sum of shares of B and D

1. 2040
2. 1680
3. 5100
4. 7500

QUESTION 13

If a:b = 2:3 & b:c = 5:2 then a:b:c =?

1. 10:15:6
2. 15:10:6
3. 6:10:15
4. None of the above

QUESTION 14

If a :b is 6:5 and a: c is 15: 11,find the ratio of a:b: c.

1. 30:25:11
2. 30:25:22
3. 20:25:22
4. None of the above

QUESTION 15

If a:b is 2:3, b:c is 4:5 and c: d is 6: 7,find the ratio of a:b:c:d.  

1. 16:24:30:35
2. 16:24:30:7
3. 8:16:30:35
4. 16:25:30:35

QUESTION 16

If a:b:c = 2:3:4 & c : d = 5 : 2, then   a : b : c : d?

1. 20 : 8 : 10 : 15
2. 10 : 15 : 20 : 8
3. 10 : 15 : 8 : 20
4. 10 : 15 : 10 : 20

QUESTION 17

A sum of Rs. x is divided among A, B and C such that the ratio of the shares of A and C is 8 ? 7 and that of B and C is 3 ? 2. If the difference between the shares of A and B is Rs. 240, then what is the value of x?

1. 2448
2. 2490
3. 2544
4. 2580

QUESTION 18

If a:b=4:1,b:c =1:2, c:d =1:9, d:e=3:1, e:f=1:8, find (a+b+c) / (d+e+f).

1. 7:72
2. 5:67
3. 11:81
4. none of the above

QUESTION 19

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is

1. 800
2. 900
3. 320
4. 940

QUESTION 20

CAT 2017 Slot-1

Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs) made by all five companies is:

1. 438 crore
2. 435 crore
3. 348 crore
4. 345 crore

QUESTION 21

CAT 20-17 Slot-2

If a, b, c are 3 positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1,which one of the following is a possible value of (a + b + c) ?

1. 201
2. 205
3. 207
4. 210

QUESTION 22

CAT-2006

 If a/b = 1/3, b/c = 2, c/d = 1/2 , d/e = 3 and e/f = 1/4, then what find abc/def?

1. 3:8
2. 27:8
3. 3:4
4. 27:4

QUESTION 23

In a 100m race, A beats B by 10m and B beats C by 20 m. Find distance by which A beats C.

1. 28
2. 30
3. 40
4. 48

QUESTION 24

In a kilometer race, A beats B by 100 m and B beats C by 150 m. In the same race, A beats C by

1. 275
2. 125
3. 250
4. 235

QUESTION 25

In a 500m race A beats B by 100m and in a 800m race B beats C by 400m.By how many meters A will beat C in 2000m race?

1. 800
2. 1200
3. 600
4. 300

QUESTION 26

CAT 2017 Slot-2

In a 10km race, A,B and C, each running at uniform speed, get the gold, silver and bronze medals, respectively. If A beats B by 1 km and B beats C by 1km, then by how many metres does A beat C?

1. 1000 m
2. 1900 m
3. 1500 m
4. 1200 m

QUESTION 27

If A gets 25% more than B and B gets 20% more than C, how much does C get out of Rs.740?

1. 200
2. 500
3. 340
4. 350

QUESTION 28

If A’s salary is 20% more than B, who got 25% more than C ,who in turn got 40% less than D. If A’s salary is Rs.12000 more than C, then find D’s salary?

1. 45000
2. 22500
3. 40000
4. 23500

QUESTION 29

The annual expenditure of P is 25% more than that of Q,which in turn is 40% more than that of R.If the monthly expenditure of R is Rs.800 then,find the monthly expenditure of all three in total.

1. 2500
2. 2800
3. 3320
4. None of these

QUESTION 30

In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D. If A scored 72, then the score of D was

1. 50
2. 25
3. 13
4. 80

QUESTION 31

Rs.117 among A, B and C such that their shares are in the ratio 1/2 : 1/3 :1/4 respectively, find share of A?

1. Rs. 54
2. Rs. 18
3. Rs. 36
4. none of the above

QUESTION 32

Rs.117 among A, B and C such that A’s share/2 = B’s share/3 = C’s share/4, find share of A

1. Rs. 54
2. Rs. 18
3. Rs. 36
4. none of the above

QUESTION 33

Given that 6A=11B=7C, find A:B:C =?

1. 66:42:77
2. 77:42:66
3. 42:77:66
4. 7:11:6

QUESTION 34

$\frac{A}{3}=\frac{B}{2}=\frac{C}{5}$, Find the value of ${{\left( C+A \right)}^{2}}:{{\left( A+B \right)}^{2}}:{{\left( B+C \right)}^{2}}$ ?

1. 9:04:25
2. 25:04:09
3. 64:25:49
4. 49:25:64

QUESTION 35

ThreeThree numbers are in the ratio 4/5 : 5/6 : 9/10. If the difference between the greatest and the smallest number is 12. Find the number which is NEITHER the smallest NOR the greatest.

1. 96
2. 108
3. 100
4. 104

QUESTION 36

If 3A = 4B = 5C =6D & A+B+C+D =1026, find the value of A.

1. 360
2. 180
3. 300
4. 250

QUESTION 37

All the 585 students of a school are divided into three different groups such that the half the number of students in first group, one-third the number of students in second group and one-fourth the number of students in third group are equal. Find the number of students in third group.

1. 65
2. 130
3. 260
4. 120

QUESTION 38

If given (a+b):(b+c):(c+a)=6:7:8 & (a+b+c)=14, then find value of c ?

1. 6
2. 7
3. 8
4. 14

QUESTION 39

If (a+b): (b+c): (c+a) = 5:7:6 and 2a -3b + 4c =66, then value of c will be?

1. 12
2. 8
3. 24
4. 132/7

QUESTION 40

If a, b and care positive numbers such that (a² + b²): (b2 + c²): (c² + a²) = 34 : 61: 45, then

b-a: c-b: c-a is

1. 1:2:3
2. 2:1:3
3. 3:1:2
4. 3:2:1

CAT Arithmetic Questions with Video Solutions

• Ratio and Proportion
• Percentages
• Profit Loss and Discount
• Averages
• Mixtures and Allligation
• Time and Work
• Time speed and Distance