Ratio and Proportion MCQs for Competitive Examination
Solve the following problems.
Q. 1
The ratio of the present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali’s age?
(A) 5
(B) 14
(C) 81
(D) 8
Answer: (D) 8
Explanation: N/A
Q. 2
In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?
(A) 240
(B) 480
(C) 120
(D) 720
Answer: (A) 240
Explanation: N/A
Q. 3
If Giridhar’s salary is 5/3 times of Hariraj’s and Shaunak’s is 2/3 times of Hariraj’s, what is the ratio of Giridhar’s salary to Shaunak’s.
(A) 9 : 10
(B) 10 : 9
(C) 5 : 2
(D) 2 : 5
Answer: (C) 5 : 2
Explanation: N/A
Q. 4
The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.
(A) Rs 605
(B) Rs 121
(C) Rs 330
(D) Rs 242
Answer: (C) Rs 330
Explanation: N/A
Q. 5
A bag has Rs 20 in the form of 1rupee, 50paise and 10paise coins in the ratio of 2:3:5. Find the number of 50paise coins.
(A) 25
(B) 10
(C) 15
(D) 5
Answer: (C) 15
Explanation: N/A
Q. 6
By increasing the price of entry ticket to a fair in the ratio 11:16, the number of visitors to the fair has decreased in the ratio 19:9. In what ratio has the total collection increased or decreased?
(A) Decreased in the ratio 209:144
(B) Increased in the ratio 144:209
(C) Increased in the ratio 99:304
(D) Decreased in the ratio 304:99
Answer: (A) Decreased in the ration 209:144
Explanation: N/A
Q. 7
By increasing the price of entry ticket to a fair in the ratio 3:7, the number of visitors to the fair has decreased in the ratio 16:13. In what ratio has the total collection increased or decreased?
(A) Decreased in the ratio 91:48
(B) Increased in the ratio 48:91
(C) Increased in the ratio 39:112
(D) Decreased in the ratio 112:39
Answer: (B) Increased in the ratio 48:91
Explanation: N/A
Q. 8
The sum of the ages of husband and wife at present is 60. Four years ago the ratio of their ages was 7:6. What is the age of the husband?
(A) 28 years
(B) 32 years
(C) 42 years
(D) 38 years
Answer: (B) 32 years
Explanation: N/A
Q. 9
The ratio of present ages of Rambha and Sarvesh is 8:5. After 7 years the ratio of their ages will be 5:4. What is Rambha’s present age?
(A) 5
(B) 30
(C) 8
(D) 48
Answer: (C) 8
Explanation: N/A
Q. 10
The ratio of ages of father and son is 7:2. Five years ago the product of their ages was 150. What is the age of the father?
(A) 30 years
(B) 45 years
(C) 35 years
(D) 40 years
Answer: (C) 35 years
Explanation: N/A
Q. 11
The ratio of present ages of Rangana and Sayed is 7:5. After 11 years the ratio of their ages will be 4:3. What is Rangana’s present age?
(A) 55
(B) 77
(C) 70
(D) 96
Answer: (B) 77
Explanation: N/A
Q. 12
The speeds of three cars are in the ratio of 1 : 3 : 5. The ratio of the time taken by these cars to travel the same distance is
(A) 3 : 5 : 15
(B) 15 : 3 : 5
(C) 15 : 5 : 3
(D) 5 : 3 : 1
Answer: (C) 15 : 5 : 3
Explanation: We know, speed ∝ (1/time)
Hence, the ratio of time taken = 1/1 : 1/3 : 1/5 = 15 : 5 : 3
Q. 13
If Gadadhar’s salary is 3/2 times of Haamid’s and Sarvesh’s is 4/3 times of Haamid’s, what is the ratio of Gadadhar’s salary to Sarvesh’s?
(A) 9:8
(B) 1:2
(C) 2:1
(D) 8:9
Answer: (A) 9:8
Explanation: N/A
Q. 14
What is the fourth proportional to 24, 120 and 22?
(A) 110
(B) 120
(C) 100
(D) 90
Answer: (A) 110
Explanation: Let the fourth proportional be X
Then, 24/120 = 22//X
Solving, we have X = 110
Q. 15
A bag has Rs12.9 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio of 3:2:3. How many 50 paise coins are there in the bag?
(A) 9
(B) 6
(C) 12
(D) 3
Answer: (B) 6
Explanation: N/A
Q. 16
In an army selection process, the ratio of selected to unselected candidates was 9:2. If 80 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?
(A) 6160
(B) 1540
(C) 3080
(D) 9240
Answer: (C) 3080
Explanation: N/A
Q. 17
A certain sum of money was divided between A, B, and C in the ratio 5:6:9. If A received Rs. 450 the sum divided was
(A) 2000
(B) 1800
(C) 2250
(D) 1000
Answer: (B) 1800
Explanation: N/A
Q. 18
The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5.The ratio of their ages after 21 years will be
(A) 14:17
(B) 17:19
(C) 11:12
(D) 10:11
Answer: (D) 10:11
Explanation: N/A
Q. 19
The number of pupils in a class is 55. The ratio of the number of male pupils to the number of female pupils is 5: 6. The number of female pupils is
(A) 11
(B) 25
(C) 30
(D) 35
Answer: (C) 30
Explanation: N/A
Q. 20
If 177 is divided into 3 parts in the ratio 1/2 : 2/3: 4/5, then the second part is
(A) 75
(B) 45
(C) 72
(D) 60
Answer: (D) 60
Explanation: N/A