On account of the disruption in education due to the corona pandemic, we're are providing a 7-day Free trial of our platform to teachers. Know More →

SSC

Explore popular questions from Ratio and Proportion for SSC. This collection covers Ratio and Proportion previous year SSC questions hand picked by experienced teachers.

Select Subject

General Awareness

General Intelligence and Reasoning

Quantitative Aptitude

English Comprehension

Statistics

Finance and Economics

Ratio and Proportion

Correct Marks 2

Incorrectly Marks -0.5

Q 1. If {tex} a: b = 7: 9 {/tex} and {tex} b: c {/tex} {tex} = 15: 7 , {/tex} then what is {tex} a: c ? {/tex}

5 : 3

B

3: 5

C

7: 21

D

7: 15

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 2. If {tex} x = \frac { 1 } { 3 } y {/tex} and {tex} y = \frac { 1 } { 2 } z {/tex}, then {tex} x: y: z , {/tex} is equal to :

A

3: 2: 1

B

1: 2: 6

1: 3: 6

D

2: 4: 6

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 3. If {tex} \mathrm { p }: \mathrm { q } = \mathrm { r }: \mathrm { s } = \mathrm { t }: \mathrm { u } = 2: 3 {/tex}, then {tex} ( \mathrm { mp } + \mathrm { nr } + \mathrm { ot } ): ( \mathrm { mq } + \mathrm { ns } + \mathrm { ou }){/tex} is equal to :

A

1: 3

B

1: 2

2: 3

D

3: 2

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 4. If {tex} a: b = c: d = e: f = 1: 2 , {/tex} then {tex} ( p a + q c + r e ): ( p b + q d + rf ) {/tex} is equal to :

A

{tex} p: ( q + r ) {/tex}

B

{tex} ( p + q ): r {/tex}

C

2: 3

1: 2

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 5. If {tex} x: y = 3: 1 , {/tex} then {tex} x ^ { 3 } - y ^ { 3 }: x ^ { 3 } {/tex} {tex} + y ^ { 3 } = ? {/tex}

13: 14

B

14: 13

C

10: 11

D

11: 10

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 6. The fourth proportional to {tex} 0.12 , {/tex} {tex} 0.21,8 {/tex} is :

A

8.9

B

56

14

D

17

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 7. The ratio {tex} 2 ^ { 1.5 }: 2 ^ { 0.5 } {/tex} is the same as :

2: 1

B

3: 1

C

6: 1

D

3: 2

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 8. If {tex} m: n = 3: 2 , {/tex} then {tex} ( 4 m + 5 n ) {/tex} : {tex} ( 4 m - 5 n ) {/tex} is equal to :

A

4: 9

B

9: 4

11: 1

D

9: 1

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 9. If {tex} \mathrm { A }: \mathrm { B } = 3: 4 , \mathrm { B }: \mathrm { C } = 5: 7 {/tex} and {tex} \mathrm { C }: \mathrm { D } = 8: 9 {/tex} then {tex} \mathrm { A }: \mathrm { D } {/tex} is equal to

A

3: 7

B

7: 3

C

21: 10

10: 21

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 10. If {tex} a: b = \frac { 2 } { 9 }: \frac { 1 } { 3 } {/tex}, {tex} b: c = \frac { 2 } { 7 }: \frac { 5 } { 14 } {/tex} and {tex} d: c = \frac { 7 } { 10 }: \frac { 3 } { 5 } {/tex} then {tex} a: b: c: d {/tex} is

A

4: 6: 7: 9

16: 24: 30: 35

C

8: 12: 15: 7

D

30: 35: 24: 16

Explanation


Correct Marks 2

Incorrectly Marks -0.5

Q 11. If {tex} b {/tex} is the mean proportional of {tex} a {/tex} and {tex} c , {/tex} then {tex} ( a - b ) ^ { 3 }: ( b - c ) ^ { 3 } {/tex} equals

A

{tex} a ^ { 3 }: c ^ { 3 } {/tex}

B

{tex} b ^ { 2 }: c ^ { 2 } {/tex}

C

{tex} a ^ { 2 }: c ^ { 2 } {/tex}

{tex} a ^ { 3 }: b ^ { 3 } {/tex}

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 12. {tex} Rs. 6200 {/tex} divided into three parts proportional to {tex} \frac { 1 } { 2 }: \frac { 1 } { 3 }: \frac { 1 } { 5 } {/tex} are respectively

{tex} Rs. 3000, Rs. 2000, Rs. 1200 {/tex}

B

{tex} Rs. 3500,Rs. 1500,Rs. 1200 {/tex}

C

{tex}Rs. 2500, Rs. 2000, Rs. 1700 {/tex}

D

{tex}Rs. 2200, Rs. 3000, Rs. 1000{/tex}

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 13. 94 is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3: 4. The first part is :

30

B

36

C

40

D

28

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 14. If {tex} a: b = 5: 7 {/tex} and {tex} c: d = 2 a: 3 b {/tex}, then {tex} a c: b d {/tex} is :

A

20: 38

50: 147

C

10: 21

D

50: 151

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 15. If {tex} x: y = 3: 2 , {/tex} then the ratio {tex} 2 x ^ { 2 } {/tex} {tex} + 3 y ^ { 2 }: 3 x ^ { 2 } - 2 y ^ { 2 } {/tex} is equal to :

A

12: 5

B

6: 5

30: 19

D

5: 3

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 16. If {tex} a: b = b: c , {/tex} then {tex} a ^ { 4 }: b ^ { 4 } {/tex} is equal to

A

{tex} a c: b ^ { 2 } {/tex}

{tex} a ^ { 2 }: c ^ { 2 } {/tex}

C

{tex} c ^ { 2 }: a ^ { 2 } {/tex}

D

{tex} b ^ { 2 }: a c {/tex}

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 17. If {tex} A: B = \frac { 1 } { 2 }: \frac { 3 } { 8 } , B: C = \frac { 1 } { 3 }: \frac { 5 } { 9 } {/tex} and {tex} C: D = \frac { 5 } { 6 }: \frac { 3 } { 4 } , {/tex} then the ratio {tex} A: B: C: D {/tex} is

A

6: 4: 8: 10

B

6: 8: 9: 10

8: 6: 10: 9

D

4: 6: 8: 10

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 18. If {tex} A: B: C = 2: 3: 4 , {/tex} then ratio {tex} \frac { A } { B }: \frac { B } { C }: \frac { C } { A } {/tex} is equal to

A

8: 9: 16

B

8: 9: 12

8: 9: 24

D

4: 9: 16

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 19. If {tex} a: b = c: d = e: f = 1: 2 , {/tex} then {tex} ( 3 a + 5 c + 7 e ): ( 3 b + 5 d + 7 f ) {/tex} is equal to

A

8: 7

B

2: 1

C

1: 4

1: 2

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 20. If {tex} a: ( b + c ) = 1: 3 {/tex} and {tex} c: ( a + b ) = {/tex} {tex} 5: 7 , {/tex} then {tex} b: ( a + c ) {/tex} is equal to

1: 2

B

2: 3

C

1: 3

D

2: 1

Explanation


Correct Marks 2

Incorrectly Marks -0.5

Q 21. If {tex} p: q: r = 1: 2: 4 , {/tex} then {tex} \sqrt { 5 p ^ { 2 } + q ^ { 2 } + r ^ { 2 } } {/tex} is equal to

A

5

B

{tex} 2 q {/tex}

{tex} 5 p {/tex}

D

{tex} 4 r {/tex}

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 22. The mean proportional between {tex} ( 3 + \sqrt { 2 } ) {/tex} and {tex} ( 12 - \sqrt { 32 } ) {/tex} is

A

{tex} \sqrt { 7 } {/tex}

{tex} 2 \sqrt { 7 } {/tex}

C

6

D

{tex} \frac { 15 - 3 \sqrt { 2 } } { 2 } {/tex}

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 23. If {tex} x: y = 2: 3 , {/tex} then the value of {tex} \frac { 3 x + 2 y } { 9 x + 5 y } {/tex} is equal to

A

{tex} \frac { 11 } { 4 } {/tex}

{tex} \frac { 4 } { 11 } {/tex}

C

{tex} \frac { 1 } { 2 } {/tex}

D

{tex} \frac { 5 } { 14 } {/tex}

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 24. If {tex} a , b , c {/tex} are three numbers such that {tex} a: b = 3: 4 {/tex} and {tex} b: c = 8: 9 , {/tex} then {tex} a: c {/tex} is equal to

A

1: 3

2: 3

C

3: 2

D

1: 2

Explanation

Correct Marks 2

Incorrectly Marks -0.5

Q 25. If {tex} a: b: c = 2: 3: 4 {/tex} and {tex} 2 a - 3 b + 4 c = 33 , {/tex} then the value of {tex} c {/tex} is

A

6

B

9

12

D

{tex} \frac { 66 } { 7 } {/tex}

Explanation