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Ratio

Q.No: 1
Test Name : CAT 2017 Actual Paper 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

A
438 crore
B
435 crore
C
348 crore
D
345 crore
Answer key/Solution
Solution:
Q.No: 2
Test Name : CAT 2017 Actual Paper Slot 1

A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio

A
1 : 1
B
8 : 7
C
4 : 3
D
6 : 5
Answer key/Solution
Solution:
Q.No: 3
Test Name : CAT 2017 Actual Paper Slot 1

If a and b are integers of opposite signs such that (a + 3)2 : b2 = 9 : 1 and (a – 1)2 : (b – 1)2 = 4 : 1, then the ratio a2 : b2 is

A
9 : 4
B
81 : 4
C
1 : 4
D
25 : 4
Answer key/Solution
Solution:
Q.No: 4
Test Name : CAT 2017 Actual Paper Slot 2

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

A
201
B
205
C
207
D
210
Answer key/Solution
Solution:
Q.No: 5
Test Name : CAT 2017 Actual Paper Slot 2

Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4 : 3 : 2. Then the resulting mixture has

A
The same amount of water and liquid B
B
The same amount of liquids B and C
C
More water than liquid B
D
More water than liquid A
Answer key/Solution
Solution:
Q.No: 6
Test Name : CAT 2017 Actual Paper Slot 2

Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?

A
27 : 14
B
27 : 13
C
27 : 16
D
27 : 18
Answer key/Solution
Solution:
Q.No: 7
Test Name : CAT 2018 Actual Paper Slot 1

Raju and Lalitha originally had marbles in the ratio 4:9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5:6. What fraction of her original number of marbles was given by Lalitha to Raju?

A
B
C
D
Answer key/Solution
Solution:
Q.No: 8
Test Name : CAT 2018 Actual Paper Slot 2

The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is

A
4 : 3
B
3 : 2
C
5 : 4
D
8 : 5
Answer key/Solution
Solution:
Q.No: 9
Test Name : CAT 2019 Actual Paper 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?

A
7000
B
6000
C
7250
D
6350
Answer key/Solution
Solution:
Q.No: 10
Test Name : CAT 2019 Actual Paper Slot 2

In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali's score exceeded Rama's score by

A
24
B
26
C
35
D
32
Answer key/Solution
Solution:
Q.No: 11
Test Name : CAT Actual Paper 2020 Slot-2

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

Answer key/Solution
Solution:
Q.No: 12
Test Name : CAT Actual Paper 2022 Slot-1

In a village, the ratio of number of males to females is 5 : 4. The ratio of number of literate males to literate females is 2 : 3. The ratio of the number of illiterate males to illiterate females is 4 : 3. If 3600 males in the village are literate, then the total number of females in the village is

Answer key/Solution
Solution:
Q.No: 13
Test Name : CAT Actual Paper 2022 Slot-1

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is

Answer key/Solution
Solution:
Q.No: 14
Test Name : CAT Actual Paper 2022 Slot-3

A donation box can receive only cheques of Rs. 100, Rs. 250, and Rs. 500. On one good day, the donation box was found to contain exactly 100 cheques amounting to a total sum of Rs. 15250. Then, the maximum possible number of cheques of Rs. 500 that the donation box may have contained, is

Answer key/Solution
Solution:
Q.No: 15
Test Name : CAT Actual Paper 2023 Slot 2

The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing 18 units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be 288000. Then, the price of the original precious stone is

A
1620000
B
972000
C
1944000
D
1296000
Answer key/Solution
Solution:
Q.No: 16
Test Name : CAT Actual Paper 2023 Slot 3

The number of coins collected per week by two coin-collectors A and B are in the ratio 3 : 4. If the total number of coins collected by A in 5 weeks is a multiple of 7, and the total number of coins collected by B in 3 weeks is a multiple of 24, then the minimum possible number of coins collected by A in one week is

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