222 + Interview Questions in RATIO AND PROPORTION in Mathematics

1.	If Rs.126.50 is divided among A. B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by1). Rs.36.502). Rs.35.503). Rs.34.504). Rs.33.50
Answer» I am not SURE, MAY be Rs.35.50 is CORRECT

Discussion

2.	The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs.2600 and Rs.1800 respectively, their incomes are :1). Rs.8000,Rs.48002). Rs.6000,Rs.36003). Rs.10000,Rs.60004). Rs.9000,Rs.5400
Answer» it from PREVIOUS YEAR ssc papers, Rs.8000,Rs.4800 is the RIGHT answer

Discussion

3.	If a:b:c = 3:4:7,then the ratio (a+b+c):c is equal to1). 2:12). 14:33). 7:24). 1:2
Answer» is OPTION 1 is the CORRECT ANSWER am i RIGHT

Discussion

4.	What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2:3 1). 22). 33). 44). 5
Answer» OPTION 2 : SEEMS CORRECT

Discussion

5.	If A:B = 2:1 and A:C = 1:3, then A:B:C is1). 1:3:22). 1:2:63). 3:2:14). 2:1:6
Answer» Its very SIMPLE QUESTION 2:1:6 is the CORRECT ANSWER.

Discussion

6.	If A:B = $\frac{1}{2}:\frac{1}{3}$, B:C = $\frac{1}{5}:\frac{1}{3}$, then (A+B):(B+C) is equal to1). 5: 82). 9:103). 15:164). 6:15
Answer» OPTION 3 is the CORRECT answer as PER the answer KEY

Discussion

7.	If A = $\frac{1}{4}$B and B = $\frac{1}{2}$C, then A:B:C is1). 8:4:12). 4:2:13). 1:4:84). 1:2:4
Answer» I have READ it SOMEWHERE 4:2:1 is CORRECT

Discussion

8.	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 was1). 1622). 1083). 964). 54
Answer» HELLO, 162 is CORRECT

Discussion

9.	If x:y = 3:4, then 4x+5y:5x-2 y =1). 7:322). 32:73). 4:34). 5:2
Answer» I am not SURE, MAY be 32:7 is CORRECT

Discussion

10.	Which of the following represents a correct proportion 1). 12:9 = 16:122). 13:11 = 5:43). 30:45 = 13:244). 3:5 = 2:5
Answer» OPTION 1 is the CORRECT answer as per the answer KEY

Discussion

11.	There is a ratio of 5:4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is1). 122). 243). 184). 20
Answer» OPTION 1 is the ANSWER

Discussion

12.	If x runs are scored by A, y runs by B and z runs by C, then x:y = y:z = 3:2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively1). 144,96,642). 162,108,723). 180,120,804). 189,126,84
Answer» ANSWER for this QUESTION is OPTION 2

Discussion

13.	Two numbers are in the ratio 4:5 and their L.C.M. is 180. The smaller number is1). 92). 153). 364). 45
Answer» Its very SIMPLE QUESTION 15 is the CORRECT ANSWER.

Discussion

14.	If 18, x and 50 are in continued proportion, then the value of x is1). 302). 33). 54). 32
Answer» 30

Discussion

15.	The ratio between Sumit’s and Prakash's age at present is 2:3. Sumit is 6 years younger than Prakash.The ratio of Sumit's age to Prakash's age after 6years will be1). 2:32). 1:23). 4:34). 3:4
Answer» is 3:4 is the CORRECT ANSWER am i RIGHT

Discussion

16.	The annual income of A and B are In the ratio 4 : 3 and the ratio of their expenditures is 3:2. If each of them saves Rs.600 in the year, the annual income of A is1). Rs.48002). Rs.18003). Rs.12004). Rs.2400
Answer» Rs.2400 : - is CORRECT HENCE OPTION 4

Discussion

17.	If A:B = 3:4 and B:C = 6:5.then A:(A + C) is equal to1). 9:102). 10:93). 9:194). 19:9
Answer» 9:19A:B:C=9:12:10A:(A+C)=9:(9+10)= 9:19

Discussion

18.	A milkman makes 20% profit by selling milk mixed with water at Rs. 9 per litre. If the cost price of 1 litre pure milk is Rs.10, then the ratio of milk and water in the mixture is1). 3:12). 4:13). 3:24). 4:3
Answer» OPTION 1 is the RIGHT ANSWER

Discussion

19.	Acid and water are mixed in a vessel A in the ratio of 5 : 2 and in the vessel B in the ratio 8 : 5. In what proportion should quantities be taken out from the two vessels so as to form a mixture in which the add and water will be in the ratio of 9 : 41). 7:22). 2:73). 7:44). 2:3
Answer» OPTION option 2 is the CORRECT ANSWER

Discussion

20.	A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture In the barrel becomes 1:11). $\frac{1}{4}$2). $\frac{1}{3}$3). $\frac{3}{4}$4). $\frac{2}{3}$
Answer» i THINK OPTION 2 is CORRECT

Discussion

21.	The ratio $2^{1.5}:2^{0.5}$ is the same as :1). 2:12). 3:13). 6:14). 3:2
Answer» OPTION 1

Discussion

22.	A bag contains three types of coins-, rupee-coins. 50p-coins and 25 p-coins totalling 175 coins. If the total value of the coins of each kind be the same, the total amount in the bag is1). Rs.752). Rs.1753). Rs.3004). Rs.126
Answer» Rs.75 : - OPTION 1

Discussion

23.	The income of A and B are in the ratio 2 : 3 and their expenditures are in the ratio 1 : 2. If each saves Rs.24.000. find A’s income.1). Rs.240002). Rs.720003). Rs.192004). Rs.48000
Answer» OPTION 4 : - Rs.48000

Discussion

24.	A person distributes his pens among four friendsA, B.C, D in the ratio $\frac{1}{3}:\frac{1}{4}:\frac{1}{5}:\frac{1}{6}$.What is the minimum number of pens that the person should have1). 572). 653). 754). 45
Answer» it from previous year SSC PAPERS, 57 is the RIGHT ANSWER

Discussion

25.	20 litres of a mixture contains milk and water in the ratio 3 : 1. Then the amount of milk to be added to the mixture so as to have milk and water in ratio 4 :1 is:1). 7 litres2). 4 litres3). 5 litres4). 6 litres
Answer» 4 LITRES : option 3 is the correct ANSWER

Discussion

26.	If A:B = 4:9 and A:C = 2:3. then (A+B):(A+C) is1). 15:132). 10:133). 13:104). 13:15
Answer» OPTION 3 : 10:13 is CORRECT

Discussion

27.	From each of the two given unequal numbers, half the smaller number is subtracted. Then,of the resulting numbers, the larger one is five times than the smaller one. Then the ratio of the larger to smaller one is1). 2:12). 3:23). 3:14). 1:4
Answer» CORRECT ANSWER is: OPTION 3

Discussion

28.	A sum of money Is divided among A, B, C and D In the proportion of 7 : 6 : 3 : 5. If B gets Rs.270 more than C. then share of D Is1). Rs.2502). Rs.3503). Rs.4504). Rs.455
Answer» it from PREVIOUS YEAR ssc papers, Rs.350 is the right ANSWER

Discussion

29.	If A:B = 3:5 and B:C = 4:7, then A:B:C is1). 6:9:142). 3:5:73). 12:20:214). 12:20:35
Answer» OPTION 4 : - 12:20:35

Discussion

30.	The mean proportion of 1.21 and 0.09 is1). 3.32). 0.333). 3.034). 0.033
Answer» OPTION option 2 is the CORRECT ANSWER

Discussion

31.	If A:B:C = 2:3:4. then ratio $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$ is equal to1). 8:9:162). 8:9:123). 8:9:244). 4:9:16
Answer» HELLO, 8:9:12 is CORRECT

Discussion

32.	If a:(b+c) = 1:3 and c:(a+ b) = 5:7, then b:(a+c) is equal to1). 1:22). 2:33). 1:34). 2:1
Answer» OPTION 1 is the RIGHT ANSWER

Discussion

33.	A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged . This increased the bill by 40%. The ratio of the number of brand A shirts to that of brand B shirts in the original order was1). 1:22). 1:33). 1:44). 1:5
Answer» Its TOUGH but OPTION 2 SEEMS CORRECT

Discussion

34.	Annual incomes of Amit and Veeri are in the ratio 3:2, while the ratio of their expenditure is 5 : 3. If at the end of the year each saves Rs.1000, the annual income of Amit is1). Rs.90002). Rs.80003). Rs.70004). Rs.6000
Answer» RIGHT ANSWER is Rs.6000

Discussion

35.	My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was1). 3:82). 2:53). 1:24). 1:5
Answer» ANSWER for this QUESTION is OPTION 4

Discussion

36.	If Rs.1000 is divided between A and B in the ratio 3:2, then A will receive1). Rs.4002). Rs.5003). Rs.6004). Rs.800
Answer» RIGHT ANSWER for this QUESTION is OPTION 3

Discussion

37.	Rs.6,400 are divided among three workers in the ratio $\frac{3}{5}:2:\frac{5}{3}$, The share ( in rupees) of the second worker is1). 32002). 38403). 25604). 3000
Answer» 3000 is the CORRECT ANSWER

Discussion

38.	A and B entered into a partnership investing Rs.16000 and Rs.12000 respectively. After 3 months A withdrew Rs.5000 while B invested Rs.5000 more. After 3 more months C joins the business with a capital of Rs.21000. The share of B exceeds that of C. out of a total profit of Rs.26400 after one year by1). Rs.24002). Rs.12003). Rs.36004). Rs.4800
Answer» Rs.1200 : - OPTION 3

Discussion

39.	The ratio of weekly income of A and B is 9 : 7 and the ratio of their expenditures is 4 :3. If each saves Rs. 200 per week, then the sum of their weekly income is1). Rs.36002). Rs.32003). Rs.48004). Rs.5600
Answer» Rs.3200 SEEMS CORRECT.

Discussion

40.	The mean proportional between $(3+\sqrt{2})$ and $(12-\sqrt{32})$ is1). $\sqrt{7}$2). $2\sqrt{7}$3). 64). $\frac{15-(3\sqrt{2})}{2}$
Answer» $2\sqrt{7}$ is the CORRECT answer as per the SSC answer KEY

Discussion

41.	If x:y = 3:1, then $x^{3}-y^{3}:{x^{3}}{y^{3}}$ 1). 13:142). 14:133). 10:114). 11:10
Answer» OPTION 1 : SEEMS CORRECT

Discussion

42.	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 was1). 4 litres2). 8 litres3). 16 litres4). 40 litres
Answer» 40 LITRES SEEMS CORRECT.

Discussion

43.	Divide Rs.2600 among A, B, C in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. Find the share of each .1). Rs.1200,Rs.600,Rs.8002). Rs.1200,Rs.800,Rs.6003). Rs.600,Rs.800,Rs.12004). Rs.800,Rs.600,Rs.1200
Answer» I THINK OPTION 2 is the RIGHT ANSWER

Discussion

44.	There are two containers of equal capacity. The ratio of milk to water in the first container is 3 : 1, in the second container 5 : 2. If they are mixed up,the ratioof milk to water in the mixture will be1). 28:412). 41:283). 15:414). 41:15
Answer» is OPTION 4 is the CORRECT ANSWER am i RIGHT

Discussion

45.	Harsha is 40 years old and Ritu is 60 years old. How many years ago was the ratio of their ages 3:51). 10 years2). 20 years3). 37 years4). 5 years
Answer» I THINK 10 YEARS is RIGHT

Discussion

46.	To get the ratio p:q (for $p\neq q$), one has to add a number to each term of the ratio x : y, the number is1). $\frac{px+qy}{p-q}$2). $\frac{qx-py}{p-q}$3). $\frac{px-qy}{p-q}$4). $\frac{py-qx}{p-q}$
Answer» RIGHT ANSWER is $\FRAC{qx-py}{p-q}$

Discussion

47.	The salaries of A, B and C are in the ratio 1:3:4. If the salaries are increased by 5%, 10% and 15% respectively, then the increased salaries will be in the ratio1). 20:66:952). 21:66:953). 21:66:924). 19:66:92
Answer» 21:66:95 : - OPTION 3

Discussion

48.	A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps. 5 steps of the policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and the theif is1). 25:282). 25:263). 28:254). 56:25
Answer» 25:26 : OPTION 3 is the CORRECT ANSWER

Discussion

49.	The ratio of three positive numbers is 2:3:5 and the sum of their squares is 608. The three numbers are1). 2,3,52). 10,15,253). 8,12,204). 4,6,10
Answer» This question was ASKED some where in previous YEAR papers of ssc, and correct answer was OPTION 3

Discussion

50.	Of three positive numbers, the ratio of 1st and 2nd is 8:9, that of 2nd and 3rd is 3:4. The product of 1st and 3rd is 2400. The sum of the three numbers is1). 1452). 1853). 2954). 155
Answer» 145 is the BEST SUITED

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If Rs.126.50 is divided among A. B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by1). Rs.36.502). Rs.35.503). Rs.34.504). Rs.33.50

The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs.2600 and Rs.1800 respectively, their incomes are :1). Rs.8000,Rs.48002). Rs.6000,Rs.36003). Rs.10000,Rs.60004). Rs.9000,Rs.5400

If a:b:c = 3:4:7,then the ratio (a+b+c):c is equal to1). 2:12). 14:33). 7:24). 1:2

What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2:3 1). 22). 33). 44). 5

If A:B = 2:1 and A:C = 1:3, then A:B:C is1). 1:3:22). 1:2:63). 3:2:14). 2:1:6

If A:B = $\frac{1}{2}:\frac{1}{3}$, B:C = $\frac{1}{5}:\frac{1}{3}$, then (A+B):(B+C) is equal to1). 5: 82). 9:103). 15:164). 6:15

If A = $\frac{1}{4}$B and B = $\frac{1}{2}$C, then A:B:C is1). 8:4:12). 4:2:13). 1:4:84). 1:2:4

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 was1). 1622). 1083). 964). 54

If x:y = 3:4, then 4x+5y:5x-2 y =1). 7:322). 32:73). 4:34). 5:2

Which of the following represents a correct proportion 1). 12:9 = 16:122). 13:11 = 5:43). 30:45 = 13:244). 3:5 = 2:5

There is a ratio of 5:4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is1). 122). 243). 184). 20

If x runs are scored by A, y runs by B and z runs by C, then x:y = y:z = 3:2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively1). 144,96,642). 162,108,723). 180,120,804). 189,126,84

Two numbers are in the ratio 4:5 and their L.C.M. is 180. The smaller number is1). 92). 153). 364). 45

If 18, x and 50 are in continued proportion, then the value of x is1). 302). 33). 54). 32

The ratio between Sumit’s and Prakash's age at present is 2:3. Sumit is 6 years younger than Prakash.The ratio of Sumit's age to Prakash's age after 6years will be1). 2:32). 1:23). 4:34). 3:4

The annual income of A and B are In the ratio 4 : 3 and the ratio of their expenditures is 3:2. If each of them saves Rs.600 in the year, the annual income of A is1). Rs.48002). Rs.18003). Rs.12004). Rs.2400

If A:B = 3:4 and B:C = 6:5.then A:(A + C) is equal to1). 9:102). 10:93). 9:194). 19:9

A milkman makes 20% profit by selling milk mixed with water at Rs. 9 per litre. If the cost price of 1 litre pure milk is Rs.10, then the ratio of milk and water in the mixture is1). 3:12). 4:13). 3:24). 4:3

Acid and water are mixed in a vessel A in the ratio of 5 : 2 and in the vessel B in the ratio 8 : 5. In what proportion should quantities be taken out from the two vessels so as to form a mixture in which the add and water will be in the ratio of 9 : 41). 7:22). 2:73). 7:44). 2:3

A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture In the barrel becomes 1:11). $\frac{1}{4}$2). $\frac{1}{3}$3). $\frac{3}{4}$4). $\frac{2}{3}$

The ratio $2^{1.5}:2^{0.5}$ is the same as :1). 2:12). 3:13). 6:14). 3:2

A bag contains three types of coins-, rupee-coins. 50p-coins and 25 p-coins totalling 175 coins. If the total value of the coins of each kind be the same, the total amount in the bag is1). Rs.752). Rs.1753). Rs.3004). Rs.126

The income of A and B are in the ratio 2 : 3 and their expenditures are in the ratio 1 : 2. If each saves Rs.24.000. find A’s income.1). Rs.240002). Rs.720003). Rs.192004). Rs.48000

A person distributes his pens among four friendsA, B.C, D in the ratio $\frac{1}{3}:\frac{1}{4}:\frac{1}{5}:\frac{1}{6}$.What is the minimum number of pens that the person should have1). 572). 653). 754). 45

20 litres of a mixture contains milk and water in the ratio 3 : 1. Then the amount of milk to be added to the mixture so as to have milk and water in ratio 4 :1 is:1). 7 litres2). 4 litres3). 5 litres4). 6 litres

If A:B = 4:9 and A:C = 2:3. then (A+B):(A+C) is1). 15:132). 10:133). 13:104). 13:15

From each of the two given unequal numbers, half the smaller number is subtracted. Then,of the resulting numbers, the larger one is five times than the smaller one. Then the ratio of the larger to smaller one is1). 2:12). 3:23). 3:14). 1:4

A sum of money Is divided among A, B, C and D In the proportion of 7 : 6 : 3 : 5. If B gets Rs.270 more than C. then share of D Is1). Rs.2502). Rs.3503). Rs.4504). Rs.455

If A:B = 3:5 and B:C = 4:7, then A:B:C is1). 6:9:142). 3:5:73). 12:20:214). 12:20:35

The mean proportion of 1.21 and 0.09 is1). 3.32). 0.333). 3.034). 0.033

If A:B:C = 2:3:4. then ratio $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$ is equal to1). 8:9:162). 8:9:123). 8:9:244). 4:9:16

If a:(b+c) = 1:3 and c:(a+ b) = 5:7, then b:(a+c) is equal to1). 1:22). 2:33). 1:34). 2:1

Annual incomes of Amit and Veeri are in the ratio 3:2, while the ratio of their expenditure is 5 : 3. If at the end of the year each saves Rs.1000, the annual income of Amit is1). Rs.90002). Rs.80003). Rs.70004). Rs.6000

My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was1). 3:82). 2:53). 1:24). 1:5

If Rs.1000 is divided between A and B in the ratio 3:2, then A will receive1). Rs.4002). Rs.5003). Rs.6004). Rs.800

Rs.6,400 are divided among three workers in the ratio $\frac{3}{5}:2:\frac{5}{3}$, The share ( in rupees) of the second worker is1). 32002). 38403). 25604). 3000

The ratio of weekly income of A and B is 9 : 7 and the ratio of their expenditures is 4 :3. If each saves Rs. 200 per week, then the sum of their weekly income is1). Rs.36002). Rs.32003). Rs.48004). Rs.5600

The mean proportional between $(3+\sqrt{2})$ and $(12-\sqrt{32})$ is1). $\sqrt{7}$2). $2\sqrt{7}$3). 64). $\frac{15-(3\sqrt{2})}{2}$

If x:y = 3:1, then $x^{3}-y^{3}:{x^{3}}{y^{3}}$ 1). 13:142). 14:133). 10:114). 11:10

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 was1). 4 litres2). 8 litres3). 16 litres4). 40 litres

Divide Rs.2600 among A, B, C in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. Find the share of each .1). Rs.1200,Rs.600,Rs.8002). Rs.1200,Rs.800,Rs.6003). Rs.600,Rs.800,Rs.12004). Rs.800,Rs.600,Rs.1200

There are two containers of equal capacity. The ratio of milk to water in the first container is 3 : 1, in the second container 5 : 2. If they are mixed up,the ratioof milk to water in the mixture will be1). 28:412). 41:283). 15:414). 41:15

Harsha is 40 years old and Ritu is 60 years old. How many years ago was the ratio of their ages 3:51). 10 years2). 20 years3). 37 years4). 5 years

To get the ratio p:q (for $p\neq q$), one has to add a number to each term of the ratio x : y, the number is1). $\frac{px+qy}{p-q}$2). $\frac{qx-py}{p-q}$3). $\frac{px-qy}{p-q}$4). $\frac{py-qx}{p-q}$

The salaries of A, B and C are in the ratio 1:3:4. If the salaries are increased by 5%, 10% and 15% respectively, then the increased salaries will be in the ratio1). 20:66:952). 21:66:953). 21:66:924). 19:66:92

A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps. 5 steps of the policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and the theif is1). 25:282). 25:263). 28:254). 56:25

The ratio of three positive numbers is 2:3:5 and the sum of their squares is 608. The three numbers are1). 2,3,52). 10,15,253). 8,12,204). 4,6,10

Of three positive numbers, the ratio of 1st and 2nd is 8:9, that of 2nd and 3rd is 3:4. The product of 1st and 3rd is 2400. The sum of the three numbers is1). 1452). 1853). 2954). 155