1103 + Mcqs in Ratio and Proportion Page 8 McqOptions

351.	If the ratio of A ∶ B is 3 ∶ 6 and ratio of B ∶ C is 7 ∶ 28, then find the ratio of A ∶ B ∶ C.
A.	3 ∶ 7 ∶ 28
B.	1 ∶ 2 ∶ 8
C.	2 ∶ 1 ∶ 8
D.	6 ∶ 7 ∶ 28
Answer» C. 2 ∶ 1 ∶ 8

Discussion

352.	A sum of money was distributed among A, B, C and D in a proportion of 5 : 4 : 3 : 2, respectively. If B receive Rs. 2,000 more than what D received, then what was C’s share?
A.	Rs. 3,000
B.	Rs. 1,000
C.	Rs. 500
D.	Rs. 250
Answer» B. Rs. 1,000

Discussion

353.	If 2/3 of P = 6/7 of Q, then what is P : Q?
A.	9 : 7
B.	9 : 5
C.	7 : 5
D.	5 : 7
Answer» B. 9 : 5

Discussion

354.	In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 : 1. If there are Rs. 60 in all, how many 5ps coins are there?
A.	100
B.	200
C.	300
D.	400
Answer» D. 400

Discussion

355.	A certain sum is divided between A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. If the difference between the shares of A and C is Rs. 3,510, then the share of D is
A.	Rs. 4,320
B.	Rs. 3,240
C.	Rs. 6,075
D.	Rs. 4,050
Answer» D. Rs. 4,050

Discussion

356.	A bag contains 1 rupee, 50 paise and 25 paise coins. 1 rupee, 50 paise, and 25 paise coins are in the 5 : 3 : 1 ratio. If the total number of coins is 180, what will be the total value (in Rs) of all coins?
A.	112
B.	180
C.	196
D.	135
Answer» E.

Discussion

357.	After spending 1/4th of pocket money on chocolates and 1/8th on pizza, a girl is left with Rs. 40. How much money did she have at first?
A.	Rs. 64
B.	Rs. 52
C.	Rs. 100
D.	Rs. 80
Answer» B. Rs. 52

Discussion

358.	If 3A = 4B = 5C, then A : B : C is equal to:
A.	10 : 5 : 4
B.	20 : 15 : 16
C.	10 : 7 : 6
D.	20 : 15 : 12
Answer» E.

Discussion

359.	If y : x : z = 4 : 5 : 6, then find the value of \(\frac{{{\rm{x}} - {\rm{y}} + {\rm{z}}}}{{{\rm{x}} + {\rm{y}} - {\rm{z}}}}\)
A.	3/3
B.	3/7
C.	5/7
D.	7/3
Answer» E.

Discussion

360.	Incomes of X and Y are in the ratio 15 : 13. Their expenditures are in the ratio 13 : 11. If both save Rs. 9600 at the end of the month, then what is the income (in Rs) of X?
A.	62400
B.	52800
C.	80400
D.	72000
Answer» E.

Discussion

361.	If 78 divided into 3 parts which are proportional to 1, 1/3 and1/6 then the middle part is
A.	28/3
B.	13
C.	52/3
D.	55/3
Answer» D. 55/3

Discussion

362.	Find the compound ratio of the following 4 : 5 and 2 : 9.
A.	45 : 8
B.	7: 35
C.	8: 45
D.	35 : 7
Answer» D. 35 : 7

Discussion

363.	Divide Rs. 9180 among M, N and O so that M get (10/5)th of N’s share and O gets (6/5)th of M’s share. What is the share (in Rs.) of O?
A.	2200
B.	2350
C.	4080
D.	4800
Answer» D. 4800

Discussion

364.	I have coins in the ratio 3 : 2 : 1 in the denomination of Rs. 5, Rs. 2 and Rs. 1. If I have a total amount of Rs. 120, then how many Rs. 5 coins do I have?
A.	12
B.	24
C.	6
D.	18
Answer» E.

Discussion

365.	Between Shivani and Parinita, a money was distributed in the ratio of 5 : 7. If Parinita gives Rs. 5 to Shivani, the ratio will change to 3 : 4. What is the amount divided?
A.	Rs. 396
B.	Rs. 408
C.	Rs. 420
D.	Rs. 432
Answer» D. Rs. 432

Discussion

366.	If Rs. 3162 is divided in the ratio of 3 : 7 : 11 : 13 among A, B, C and D respectively, what will be the share of D?
A.	Rs. 1306
B.	Rs. 1136
C.	Rs. 1209
D.	Rs. 999
Answer» D. Rs. 999

Discussion

367.	If \(\frac{1}{A}:\frac{1}{B}:\frac{1}{C} = 2\;:\;3\;:4\), then what is the ratio of A : B : C?
A.	6 : 4 : 3
B.	4 : 3 : 6
C.	3 : 6 : 4
D.	12 : 6 : 8
Answer» B. 4 : 3 : 6

Discussion

368.	If 182 is divided in the ratio 3 : 5 : 4 : 1, then the lowest part is-
A.	28
B.	15
C.	14
D.	7
Answer» D. 7

Discussion

369.	If 2a ∶ 3b = 5 ∶ 6 and 5b ∶ 4c = 3 ∶ 2 and a + b + c = 296, then what is the value of b?
A.	116
B.	80
C.	96
D.	120
Answer» D. 120

Discussion

370.	If a : b = 2 : 3, b : c = 5 : 6 and c : d = 8 : 9, then a : d = ?
A.	42 : 81
B.	44 : 81
C.	37 : 81
D.	40 : 81
Answer» E.

Discussion

371.	If a ∶ b = 5 ∶ 3, then (8a – 5b) ∶ (8a + 5b) is equal to∶
A.	5 ∶ 11
B.	2 ∶ 5
C.	3 ∶ 11
D.	3 ∶ 13
Answer» B. 2 ∶ 5

Discussion

372.	If Rs. 782 be divided into three parts, proportional to \(\frac{1}{2}:\frac{2}{3}:\frac{3}{4}\), then the first part is
A.	Rs. 196
B.	Rs. 204
C.	Rs. 190
D.	Rs. 182
Answer» C. Rs. 190

Discussion

373.	A began a business with Rs. 75,000. B joins after some time with Rs. 37,500. After how many months did B join if the profits are shared in the ratio of 3 : 1 at the end of the year?
A.	4
B.	5
C.	6
D.	7
Answer» B. 5

Discussion

374.	A sum of Rs. 15525 is divided among Sunil, Anil and Jamil such that if Rs. 22, Rs. 35 and Rs. 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77 and Rs. 37 respectively were added to their original shares?
A.	9 : 13 : 17
B.	18 : 26 : 35
C.	36 : 52 : 67
D.	None of these
Answer» D. None of these

Discussion

375.	If (5a – 3b) : (4a – 2b) = 2 : 3, then a : b is equal to:
A.	5 : 8
B.	5 : 7
C.	2 : 3
D.	3 : 4
Answer» C. 2 : 3

Discussion

376.	A, B and C received an amount of Rs 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3 : 2 : 4 respectively and B saves Rs 400, then what is the ratio of the expenditures of A, B and C respectively?
A.	6 : 8 : 7
B.	8 : 6 : 7
C.	9 : 14 : 10
D.	12 : 7 : 9
Answer» D. 12 : 7 : 9

Discussion

377.	If a : b = 3 : 5 and b : c = 2 : 3, then the proportion a : b : c is:
A.	3 : 5 : 3
B.	3 : 10 : 3
C.	3 : 10 : 15
D.	6 : 10 : 15
Answer» E.

Discussion

378.	If U : V = 2 : 9, V : W = 3 : 5 and W : X = 15 : 11, then what is the value of U : X?
A.	3 : 22
B.	4 : 17
C.	2 : 11
D.	5 : 11
Answer» D. 5 : 11

Discussion

379.	A person carries Rs. 165/ - in the form of currency notes of denominations Rs. 5, Rs. 10 & Rs. 20 in the ratio of 3 : 2 : 1. What is the value of currency notes of Rs. 20 denomination?
A.	Rs. 60
B.	Rs. 100
C.	Rs. 40
D.	Rs. 80
Answer» B. Rs. 100

Discussion

380.	A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 3 ∶ 4, that of B and C is 5 ∶ 6 and that of C and D is 9 ∶ 10. If the difference between the shares of A and C is Rs.3,240, then what is the share of D?
A.	Rs.9,520
B.	Rs.8,800
C.	Rs.8,640
D.	Rs.9,600
Answer» E.

Discussion

381.	€1156 was divided between two people in the ratio 13 : 21. The one who got the larger share received €_____.
A.	782
B.	714
C.	680
D.	748
Answer» C. 680

Discussion

382.	A invest 80% of his income on mutual fund, real estate and insurance in the ratio of 3 ∶ 5 ∶ 7 respectively. Find his saving, if his investment on the mutual fund is Rs. 24,000.
A.	Rs. 1,00,000
B.	Rs. 50,000
C.	Rs. 30,000
D.	Rs. 40,000
E.	Rs. 80,000
Answer» D. Rs. 40,000

Discussion

383.	If x, 8 and 27 are in continued proportion, then what is the value of x?
A.	8/3
B.	4/3
C.	64/27
D.	2/3
Answer» D. 2/3

Discussion

384.	A sum of Rs 110 is in the form of Rs. 2, Rs. 1, and 50 paise coins in the ration of 1 : 2 : 3 respectively, how many 50 paise coins are there?
A.	20
B.	60
C.	40
D.	80
Answer» C. 40

Discussion

385.	4 years ago, the ratio of Vikas’s to Rahul’s age was 3 : 5. After 6 years, this ratio would become 4 : 5. Find present age of Rahul?
A.	10 years
B.	15 years
C.	14 years
D.	17 years
Answer» D. 17 years

Discussion

386.	\(\frac{2}{7}\) of the stamps in Ravi's stamp collection are Indian stamps and the remaining are foreign stamps. What is the ratio of Indian stamps to foreign stamps in Ravi's stamp collection?
A.	2 : 5
B.	5 : 7
C.	5 : 2
D.	7 : 5
Answer» B. 5 : 7

Discussion

387.	If Rs. 3276 is divided in the ratio of 6: 13: 15: 8 among A, B, C, and D respectively, what will be the share of A?
A.	Rs. 468
B.	Rs. 1170
C.	Rs. 624
D.	Rs. 568
Answer» B. Rs. 1170

Discussion

388.	If x : y = 7 : 3 then the value of \(\dfrac{9x+5y}{3x+2y}\) will be
A.	78/29
B.	26/9
C.	7/3
D.	5/2
Answer» C. 7/3

Discussion

389.	If a: b = c : d = 1 : 6, then what is the value of \(\frac{{{a^2}\; + \;{c^2}}}{{{b^2}\; + \;{d^2}}}?\)
A.	\(\frac{1}{{600}}\)
B.	\(\frac{1}{{60}}\)
C.	\(\frac{1}{{36}}\)
D.	\(\frac{1}{6}\)
Answer» D. \(\frac{1}{6}\)

Discussion

390.	In a mixture of 25 liters, the ratio of milk and water is 4 : 1. How many liters of milk must be added to make the ratio 16 : 1?A. 21B. 25C. 60D. 36
A.	A
B.	D
C.	B
D.	C
Answer» E.

Discussion

391.	In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the number of boys to girls in 6 : 5 is
A.	6
B.	7
C.	12
D.	17
Answer» C. 12

Discussion

392.	If ₹3800 is distributed among A,B, C such that A : B = 1 : 2 and B : C = 3 : 5,the find the share of B.
A.	₹1200
B.	₹2000
C.	₹1400
D.	₹600
Answer» B. ₹2000

Discussion

393.	In a bag, the ratio of the number of 2 rupees, 1 rupees and 50 paise coins is 3 : 4 : 5. If the total amount in the bag is Rs. 250, then how many 1-rupee coins are there?
A.	70
B.	100
C.	60
D.	80
Answer» E.

Discussion

394.	If 3A = 4B = 12C, then what is A : B : C?
A.	4 : 3 : 1
B.	4 : 3 : 2
C.	3 : 4 : 12
D.	12 : 4 : 3
E.	3 : 8 : 11
Answer» B. 4 : 3 : 2

Discussion

395.	If a, b and c are positive numbers such that (a2 + b2) ∶ (b2 + c2) ∶ (c2 + a2) = 34 ∶ 61 ∶ 45, then a ∶ b ∶ c = ?
A.	6 ∶ 3 ∶ 5
B.	5 ∶ 3 ∶ 6
C.	3 ∶ 5 ∶ 6
D.	3 ∶ 6 ∶ 5
Answer» D. 3 ∶ 6 ∶ 5

Discussion

396.	15 years ago, Shyam was twice as old as Prabhat. Five years from now Prabhat’s age will be 5/8 of Shyam’s age. What is shyam’s current age?
A.	72 years
B.	75 years
C.	80 years
D.	64 years
Answer» C. 80 years

Discussion

397.	If 6A = 4B = 9C, find A ∶ B ∶ C.
A.	6 ∶ 4 ∶ 9
B.	6 ∶ 9 ∶ 4
C.	4 ∶ 9 ∶ 6
D.	9 ∶ 6 ∶ 4
Answer» C. 4 ∶ 9 ∶ 6

Discussion

398.	Both x and y vary directly with each other and when x = 20, y = 28. Which of the following is not a possible pair of corresponding values?
A.	25 ∶ 35
B.	35 ∶ 25
C.	35 ∶ 49
D.	15 ∶ 21
Answer» C. 35 ∶ 49

Discussion

399.	Divide Rs. 156 in the ratio 1 : 2 : 4 : 5. The rupees in the respective ratios are given by:A. 13, 26, 53 & 64B. 13, 26, 51 & 66C. 13, 26, 52 & 65D. 13, 25, 53 & 65
A.	B
B.	C
C.	D
D.	A
Answer» C. D

Discussion

400.	In one box, three different types of old coins are in the ratio of 3 : 5 : 7, the value of old coins is Rs. 1, 5 and 10 rupees respectively. If the total value of coins in the box is Rs 294, then tell the number of old coins of Rs 10.
A.	22
B.	24
C.	21
D.	23
Answer» D. 23

Discussion

Explore topic-wise MCQs in General Aptitude.

If the ratio of A ∶ B is 3 ∶ 6 and ratio of B ∶ C is 7 ∶ 28, then find the ratio of A ∶ B ∶ C.

A sum of money was distributed among A, B, C and D in a proportion of 5 : 4 : 3 : 2, respectively. If B receive Rs. 2,000 more than what D received, then what was C’s share?

If 2/3 of P = 6/7 of Q, then what is P : Q?

In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 : 1. If there are Rs. 60 in all, how many 5ps coins are there?

A certain sum is divided between A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. If the difference between the shares of A and C is Rs. 3,510, then the share of D is

A bag contains 1 rupee, 50 paise and 25 paise coins. 1 rupee, 50 paise, and 25 paise coins are in the 5 : 3 : 1 ratio. If the total number of coins is 180, what will be the total value (in Rs) of all coins?

After spending 1/4th of pocket money on chocolates and 1/8th on pizza, a girl is left with Rs. 40. How much money did she have at first?

If 3A = 4B = 5C, then A : B : C is equal to:

If y : x : z = 4 : 5 : 6, then find the value of \(\frac{{{\rm{x}} - {\rm{y}} + {\rm{z}}}}{{{\rm{x}} + {\rm{y}} - {\rm{z}}}}\)

Incomes of X and Y are in the ratio 15 : 13. Their expenditures are in the ratio 13 : 11. If both save Rs. 9600 at the end of the month, then what is the income (in Rs) of X?

If 78 divided into 3 parts which are proportional to 1, 1/3 and1/6 then the middle part is

Find the compound ratio of the following 4 : 5 and 2 : 9.

Divide Rs. 9180 among M, N and O so that M get (10/5)th of N’s share and O gets (6/5)th of M’s share. What is the share (in Rs.) of O?

I have coins in the ratio 3 : 2 : 1 in the denomination of Rs. 5, Rs. 2 and Rs. 1. If I have a total amount of Rs. 120, then how many Rs. 5 coins do I have?

Between Shivani and Parinita, a money was distributed in the ratio of 5 : 7. If Parinita gives Rs. 5 to Shivani, the ratio will change to 3 : 4. What is the amount divided?

If Rs. 3162 is divided in the ratio of 3 : 7 : 11 : 13 among A, B, C and D respectively, what will be the share of D?

If \(\frac{1}{A}:\frac{1}{B}:\frac{1}{C} = 2\;:\;3\;:4\), then what is the ratio of A : B : C?

If 182 is divided in the ratio 3 : 5 : 4 : 1, then the lowest part is-

If 2a ∶ 3b = 5 ∶ 6 and 5b ∶ 4c = 3 ∶ 2 and a + b + c = 296, then what is the value of b?

If a : b = 2 : 3, b : c = 5 : 6 and c : d = 8 : 9, then a : d = ?

If a ∶ b = 5 ∶ 3, then (8a – 5b) ∶ (8a + 5b) is equal to∶

If Rs. 782 be divided into three parts, proportional to \(\frac{1}{2}:\frac{2}{3}:\frac{3}{4}\), then the first part is

A began a business with Rs. 75,000. B joins after some time with Rs. 37,500. After how many months did B join if the profits are shared in the ratio of 3 : 1 at the end of the year?

If (5a – 3b) : (4a – 2b) = 2 : 3, then a : b is equal to:

A, B and C received an amount of Rs 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3 : 2 : 4 respectively and B saves Rs 400, then what is the ratio of the expenditures of A, B and C respectively?

If a : b = 3 : 5 and b : c = 2 : 3, then the proportion a : b : c is:

If U : V = 2 : 9, V : W = 3 : 5 and W : X = 15 : 11, then what is the value of U : X?

A person carries Rs. 165/ - in the form of currency notes of denominations Rs. 5, Rs. 10 & Rs. 20 in the ratio of 3 : 2 : 1. What is the value of currency notes of Rs. 20 denomination?

A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 3 ∶ 4, that of B and C is 5 ∶ 6 and that of C and D is 9 ∶ 10. If the difference between the shares of A and C is Rs.3,240, then what is the share of D?

€1156 was divided between two people in the ratio 13 : 21. The one who got the larger share received €_____.

A invest 80% of his income on mutual fund, real estate and insurance in the ratio of 3 ∶ 5 ∶ 7 respectively. Find his saving, if his investment on the mutual fund is Rs. 24,000.

If x, 8 and 27 are in continued proportion, then what is the value of x?

A sum of Rs 110 is in the form of Rs. 2, Rs. 1, and 50 paise coins in the ration of 1 : 2 : 3 respectively, how many 50 paise coins are there?

4 years ago, the ratio of Vikas’s to Rahul’s age was 3 : 5. After 6 years, this ratio would become 4 : 5. Find present age of Rahul?

\(\frac{2}{7}\) of the stamps in Ravi's stamp collection are Indian stamps and the remaining are foreign stamps. What is the ratio of Indian stamps to foreign stamps in Ravi's stamp collection?

If Rs. 3276 is divided in the ratio of 6: 13: 15: 8 among A, B, C, and D respectively, what will be the share of A?

If x : y = 7 : 3 then the value of \(\dfrac{9x+5y}{3x+2y}\) will be

If a: b = c : d = 1 : 6, then what is the value of \(\frac{{{a^2}\; + \;{c^2}}}{{{b^2}\; + \;{d^2}}}?\)

In a mixture of 25 liters, the ratio of milk and water is 4 : 1. How many liters of milk must be added to make the ratio 16 : 1?A. 21B. 25C. 60D. 36

In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the number of boys to girls in 6 : 5 is

If ₹3800 is distributed among A,B, C such that A : B = 1 : 2 and B : C = 3 : 5,the find the share of B.

In a bag, the ratio of the number of 2 rupees, 1 rupees and 50 paise coins is 3 : 4 : 5. If the total amount in the bag is Rs. 250, then how many 1-rupee coins are there?

If 3A = 4B = 12C, then what is A : B : C?

If a, b and c are positive numbers such that (a2 + b2) ∶ (b2 + c2) ∶ (c2 + a2) = 34 ∶ 61 ∶ 45, then a ∶ b ∶ c = ?

15 years ago, Shyam was twice as old as Prabhat. Five years from now Prabhat’s age will be 5/8 of Shyam’s age. What is shyam’s current age?

If 6A = 4B = 9C, find A ∶ B ∶ C.

Both x and y vary directly with each other and when x = 20, y = 28. Which of the following is not a possible pair of corresponding values?

Divide Rs. 156 in the ratio 1 : 2 : 4 : 5. The rupees in the respective ratios are given by:A. 13, 26, 53 & 64B. 13, 26, 51 & 66C. 13, 26, 52 & 65D. 13, 25, 53 & 65

In one box, three different types of old coins are in the ratio of 3 : 5 : 7, the value of old coins is Rs. 1, 5 and 10 rupees respectively. If the total value of coins in the box is Rs 294, then tell the number of old coins of Rs 10.