# 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.

## Statistics

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}