462 + Mcqs in Ratio Page 4 McqOptions

151.	The respective ratio between the monthly salaries of Rene and Som is 5 : 3. Out of her salary Rene gives $$\frac{{\text{1}}}{{\text{6}}}$$ th as rent, $$\frac{{\text{1}}}{{\text{5}}}$$ th to her mother, 30%as her education loan and keeps 25%aside for miscellaneous expenditure. Remaining Rs. 5000 she keeps as savings. What is Som's monthly salary ?
A.	s. 21000
B.	s. 24000
C.	s. 27000
D.	s. 36000
Answer» E.

Discussion

152.	Find the fraction which bears the same ratio to $$\frac{1}{{27}}$$ that $$\frac{3}{7}$$ does to $$\frac{5}{9}$$ = ?
A.	$\frac{5}{9}$$
B.	$\frac{1}{{35}}$$
C.	$\frac{{45}}{7}$$
D.	$\frac{7}{{45}}$$
Answer» C. $\frac{{45}}{7}$$

Discussion

153.	A's income is Rs. 140 more than B's income ans C's income is Rs. 80 more than D's income. If the ratio of A's and C's income is 2 : 3 and the ratio of B's and D's income is 1 : 2, then the incomes of A, B, C and D are respectively = ?
A.	s. 260, Rs. 120, Rs. 320, Rs. 240
B.	s. 300, Rs. 160, Rs. 600, Rs. 520
C.	s. 400, Rs. 260, Rs. 600, Rs. 520
D.	s. 320, Rs. 180, Rs. 480, Rs. 360
Answer» D. s. 320, Rs. 180, Rs. 480, Rs. 360

Discussion

154.	A and B start an enterprise together, with A as active partner. A invests Rs. 4000 and Rs. 2000 more after 8 months. B invests Rs. 5000 and withdraws Rs. 2000 after 9 months. Being the active partner, A takes Rs. 100 per month as allowance,from the profit. What is the share of B if the profit for for the year is 6700 ?
A.	s. 3350
B.	s. 3250
C.	s. 2700
D.	s. 2800
Answer» D. s. 2800

Discussion

155.	A dealer buys dry fruit at the rate of Rs. 100, Rs. 80 Rs. 60 per kg. He bought them in the ratio 12 : 15 : 20 by weight. He in total gets 20%profit by selling the first two and at last he finds he has no gain no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity ?
A.	0%
B.	0%
C.	0%
D.	0%
Answer» D. 0%

Discussion

156.	If (x3 - y3) : (x2 + xy + y2) = 5 : 1 and (x2 - y2) : (x - y) = 7 : 1, then the ratio 2x : 3y equals = ?
A.	: 2
B.	: 3
C.	: 3
D.	: 1
Answer» E.

Discussion

157.	Incomes of x and y are in the ratio 4 : 3. Their expenditure are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is = ?
A.	s. 4000
B.	s. 8000
C.	s. 6000
D.	s. 2000
Answer» C. s. 6000

Discussion

158.	Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is -
A.	9
B.	9
C.	6
D.	7
Answer» C. 6

Discussion

159.	In a college the students in Arts and commerce faculties were in the ratio of 4 : 5 respectively. When 65 more students joined commerce faculty the ratio becomes 8 : 11 respectively. How many students are there in Arts faculty?
A.	20
B.	50
C.	15
D.	annot be determined
E.	one of these
Answer» B. 50

Discussion

160.	The ratio of incomes 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.
A.	s. 9000, Rs. 5400
B.	s. 10000, Rs. 6000
C.	s. 6000, Rs. 3600
D.	s. 8000, Rs. 4800
Answer» E.

Discussion

161.	Six coins of gold and silver of equal weights are melted and new coins are cast. The ratio of gold and silver in one of the coins is 2 : 1, in another two coins 3 : 5 and 7 : 5 in the remaining coins. What will be the ratio between gold and silver respectively in the new coins ?
A.	: 1
B.	2 : 11
C.	2 : 25
D.	9 : 17
Answer» E.

Discussion

162.	The ratio of milk to water in three containers of equal capacity is 3 : 2, 7 : 3 and 11 : 4 respectively. The contents of the three containers are mixed together. What is the ratio of milk to water after mixing ?
A.	9 : 4
B.	: 3
C.	1 : 29
D.	1 : 18
Answer» D. 1 : 18

Discussion

163.	Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4 : 1), (3 : 1) and (5 : 2) respectively. The mixture of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is = ?
A.	: 1
B.	51 : 48
C.	57 : 53
D.	: 2
Answer» D. : 2

Discussion

164.	In a regiment the ratio between the number of officers to soldiers was 3 : 31 before. In a battle 6 officers and 22 soldiers were killed and the ratio become 1 : 13, the regiment before battle was = ?
A.	1
B.	8
C.	1
D.	8
Answer» D. 8

Discussion

165.	The ratio of the number of ladies to that of gents at a party was 3 : 2. When 20 more gents joined the party, the ratio was reversed. The number of ladies present at the party was -
A.	6
B.	4
C.	2
D.	6
Answer» C. 2

Discussion

166.	In a certain company, theratio of the number of managers to the number of production - line workers is 5 to 72. If 8 additional production - line workers were to be hired, the ratio of the number of managers to the production - line workers would be 5 to 74. How many managers does the company have ?
A.	0
B.	0
C.	5
D.	0
Answer» C. 5

Discussion

167.	The three successive angles of a cycle quadrilateral are in the ratio 1 : 3 : 4, find the measure of the fourth angle ?
A.	2°
B.	0°
C.	6°
D.	08°
Answer» B. 0°

Discussion

168.	The sides of a triangle are in the ratio of 7 : 9 : 12. The difference between the length of largest and smaller sides is 15 c.m. The length of the largest sides would be = ?
A.	6 cm
B.	2 cm
C.	0 cm
D.	4 cm
Answer» B. 2 cm

Discussion

169.	One year ago the ratio of the ages of Sarika and Gouri was 3 : 4 respectively. One year hence the ratio of their ages will be 10 : 13 respectively. What is Sarika's present age ?
A.	8 years
B.	0 years
C.	6 years
D.	annot be determined
E.	one of these
Answer» F.

Discussion

170.	In a school the ratio of boys and girls is 4 : 5 respectively. When 100 girls leave the school the ratio becomes 6 : 7 respectively. How many boys are there in the school ?
A.	300
B.	500
C.	600
D.	annot be determined
E.	one of these
Answer» F.

Discussion

171.	Present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is = ?
A.	5 years
B.	3 years
C.	2 years
D.	0 years
Answer» B. 3 years

Discussion

172.	If $$\frac{a}{b}{\text{ = }}\frac{c}{d}{\text{ = }}\frac{e}{f}{\text{,}}$$then each of them is equal to = ?
A.	$\frac{{a + 3c + 5e}}{{b + d - f}}$$
B.	$\frac{{3a + 3c - 5e}}{{b + 3d - f}}$$
C.	$\frac{{a + c - e}}{{b + d - 5f}}$$
D.	$\frac{{a + 3c - 5e}}{{b + 3d - 5f}}$$
Answer» E.

Discussion

173.	The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then Monali's current age is = ?
A.	years
B.	years
C.	years
D.	5 years
Answer» D. 5 years

Discussion

174.	A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5 : 2.The quantity of milk in the mixture is = ?
A.	6 litres
B.	5 litres
C.	2.5 litres
D.	2.75 litres
Answer» C. 2.5 litres

Discussion

175.	Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. What is the large number?
A.	0
B.	5
C.	5
D.	0
Answer» D. 0

Discussion

176.	In a library the ratio of story books and other books is 7 : 2 and there are 1512 story books. Due to collection of some more story books the ratio becomes 15 : 4. The number of story books collected is = ?
A.	08
B.	05
C.	00
D.	7
Answer» B. 05

Discussion

177.	If $$\frac{x}{y} = \frac{3}{4}{\text{,}}$$the ratio of (2x + 3y) and (3y - 2x) is = ?
A.	: 1
B.	: 2
C.	: 1
D.	: 1
Answer» D. : 1

Discussion

178.	If two number are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers, then the sum of the two numbers is = ?
A.	0
B.	0
C.	0
D.	0
Answer» E.

Discussion

179.	Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is = ?
A.	4 : 25
B.	0 : 21
C.	2 : 23
D.	3 : 22
Answer» E.

Discussion

180.	The sum of the salaries of A and B is Rs. 2100. A spends 80% of his salary and B spends 70%of his salary. If their savings are in the proportion of 4 : 3, then what is the salary of A?
A.	s. 700
B.	s. 900
C.	s. 1200
D.	s. 1400
Answer» E.

Discussion

181.	Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000 my total savings for the two years is -
A.	il
B.	s. 5000
C.	s. 10000
D.	s. 15000
Answer» C. s. 10000

Discussion

182.	The total emoluments of A and B are equal. However, A gets 65%of his basic salary as allowances and B gets 80%of his basic salary as allowances. What is the ratio of the basic salaries of A and B ?
A.	: 7
B.	: 9
C.	2 : 11
D.	6 : 13
Answer» D. 6 : 13

Discussion

183.	A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of the speed ofthe policeman and the thief is=?
A.	5 : 28
B.	5 : 26
C.	8 : 25
D.	6 : 25
Answer» D. 6 : 25

Discussion

184.	A box contains 280 coins of one rupee, 50 paise and 25 paise. The value of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is = ?
A.	0
B.	0
C.	0
D.	0
Answer» D. 0

Discussion

185.	The ratio of the ages of two persons is 4 : 7 and the age of one of them is greater than that of the other by 30 years. The sum of their ages (in years) is = ?
A.	10
B.	00
C.	0
D.	0
Answer» B. 00

Discussion

186.	Incomes of A, B, and C are in the ratio 7 : 9 : 12 and their respective expenditures are in the ratio 8 : 9 : 15. If A saves $$\frac{{\text{1}}}{{\text{4}}}$$ of his income, then the ratio of their savings is -
A.	6 : 99 : 69
B.	3 : 19 : 23
C.	5 : 28 : 27
D.	6 : 69 : 99
Answer» B. 3 : 19 : 23

Discussion

187.	The sides of a triangle are in the ratio $$\frac{{\text{1}}}{{\text{2}}}$$ : $$\frac{{\text{1}}}{{\text{3}}}$$ : $$\frac{{\text{1}}}{{\text{4}}}$$ and its perimeter is 104 cm. The length of the longest side (in cm) is -
A.	6
B.	2
C.	8
D.	2
Answer» D. 2

Discussion

188.	The ratio of the incomes of Ram and Shyam is 7 : 17 and that of Shyam and Sohan is 7 : 17. If the income of Ram is Rs. 490, what is the income of Sohan ?
A.	s. 490
B.	s. 1190
C.	s. 2790
D.	s. 2890
Answer» E.

Discussion

189.	A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of C is Rs. 2580 more than the share of B, then what is the total amount A and D together ?
A.	s. 5676
B.	s. 6192
C.	s. 6708
D.	s. 7224
E.	one of these
Answer» D. s. 7224

Discussion

190.	A sum of Rs. 76 is divided among A, B and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 6 more than what C gets. The ratio of their share is gets. The ratio of their share is = ?
A.	9 : 24 : 33
B.	2 : 25 : 19
C.	2 : 24 : 20
D.	9 : 25 : 33
Answer» C. 2 : 24 : 20

Discussion

191.	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 by = ?
A.	s. 36.50
B.	s. 35.50
C.	s. 34.50
D.	s. 33.50
Answer» D. s. 33.50

Discussion

192.	Two numbers are in the ratio 17 : 45. One third of the smaller is less than $$\frac{{\text{1}}}{{\text{5}}}$$ of the bigger by 15. The smaller number is -
A.	${\text{25}}\frac{1}{2}$$
B.	${\text{67}}\frac{1}{2}$$
C.	${\text{76}}\frac{1}{2}$$
D.	${\text{86}}\frac{1}{2}$$
Answer» D. ${\text{86}}\frac{1}{2}$$

Discussion

193.	The ratio of the length of a school ground to its width is 5 : 2. If the width is 40m, then the length is = ?
A.	00m
B.	00m
C.	0m
D.	0m
Answer» C. 0m

Discussion

194.	If A : B = 7 : 9 and B : C = 3 : 5 then A : B : C is equal to = ?
A.	: 9 : 5
B.	1 : 35 : 45
C.	: 9 : 15
D.	: 3 : 15
Answer» D. : 3 : 15

Discussion

195.	Which of the following represents a correct proportion ?
A.	2 : 9 :: 16 : 12
B.	3 : 11 :: 5 : 4
C.	0 : 45 :: 13 : 24
D.	: 5 :: 2 : 5
Answer» B. 3 : 11 :: 5 : 4

Discussion

196.	Two glasses of equal volume respectively are half and three - fourths filled with milk. They are then filled to brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel ?
A.	: 3
B.	: 3
C.	: 2
D.	: 3
Answer» E.

Discussion

197.	A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, then the ratio of gold and copper in alloy C will be.
A.	: 7
B.	: 9
C.	: 5
D.	: 5
Answer» D. : 5

Discussion

198.	Last year, the ratio between the salaries of A and B was 3 : 4. But the ratios of their individual salaries between last year and this year were 4 : 5 and 2 : 3 respectively. If the sum of their present salaries is Rs. 4160, then how much is the salary of A now ?
A.	s. 1040
B.	s. 1600
C.	s. 2560
D.	s. 3120
Answer» C. s. 2560

Discussion

199.	Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2. Had 4 more students passed, then the ratio of successful to unsuccessful students will be = ?
A.	4 : 3
B.	4 : 5
C.	8 : 3
D.	8 : 5
Answer» E.

Discussion

200.	Rs. 730 were divided among A,B,C in such a way that if A gets Rs. 3 then B gets Rs. 4 and If B gets Rs. 3.5 then C gets Rs. 3. The share of B exceeds that of C by = ?
A.	s. 30
B.	s. 40
C.	s. 70
D.	s. 210
Answer» C. s. 70

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

Find the fraction which bears the same ratio to $$\frac{1}{{27}}$$ that $$\frac{3}{7}$$ does to $$\frac{5}{9}$$ = ?

A's income is Rs. 140 more than B's income ans C's income is Rs. 80 more than D's income. If the ratio of A's and C's income is 2 : 3 and the ratio of B's and D's income is 1 : 2, then the incomes of A, B, C and D are respectively = ?

If (x3 - y3) : (x2 + xy + y2) = 5 : 1 and (x2 - y2) : (x - y) = 7 : 1, then the ratio 2x : 3y equals = ?

Incomes of x and y are in the ratio 4 : 3. Their expenditure are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is = ?

Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is -

In a college the students in Arts and commerce faculties were in the ratio of 4 : 5 respectively. When 65 more students joined commerce faculty the ratio becomes 8 : 11 respectively. How many students are there in Arts faculty?

The ratio of incomes 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.

Six coins of gold and silver of equal weights are melted and new coins are cast. The ratio of gold and silver in one of the coins is 2 : 1, in another two coins 3 : 5 and 7 : 5 in the remaining coins. What will be the ratio between gold and silver respectively in the new coins ?

The ratio of milk to water in three containers of equal capacity is 3 : 2, 7 : 3 and 11 : 4 respectively. The contents of the three containers are mixed together. What is the ratio of milk to water after mixing ?

In a regiment the ratio between the number of officers to soldiers was 3 : 31 before. In a battle 6 officers and 22 soldiers were killed and the ratio become 1 : 13, the regiment before battle was = ?

The ratio of the number of ladies to that of gents at a party was 3 : 2. When 20 more gents joined the party, the ratio was reversed. The number of ladies present at the party was -

The three successive angles of a cycle quadrilateral are in the ratio 1 : 3 : 4, find the measure of the fourth angle ?

The sides of a triangle are in the ratio of 7 : 9 : 12. The difference between the length of largest and smaller sides is 15 c.m. The length of the largest sides would be = ?

One year ago the ratio of the ages of Sarika and Gouri was 3 : 4 respectively. One year hence the ratio of their ages will be 10 : 13 respectively. What is Sarika's present age ?

In a school the ratio of boys and girls is 4 : 5 respectively. When 100 girls leave the school the ratio becomes 6 : 7 respectively. How many boys are there in the school ?

Present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is = ?

If $$\frac{a}{b}{\text{ = }}\frac{c}{d}{\text{ = }}\frac{e}{f}{\text{,}}$$then each of them is equal to = ?

The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then Monali's current age is = ?

A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5 : 2.The quantity of milk in the mixture is = ?

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. What is the large number?

In a library the ratio of story books and other books is 7 : 2 and there are 1512 story books. Due to collection of some more story books the ratio becomes 15 : 4. The number of story books collected is = ?

If $$\frac{x}{y} = \frac{3}{4}{\text{,}}$$the ratio of (2x + 3y) and (3y - 2x) is = ?

If two number are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers, then the sum of the two numbers is = ?

Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is = ?

The sum of the salaries of A and B is Rs. 2100. A spends 80% of his salary and B spends 70%of his salary. If their savings are in the proportion of 4 : 3, then what is the salary of A?

Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000 my total savings for the two years is -

The total emoluments of A and B are equal. However, A gets 65%of his basic salary as allowances and B gets 80%of his basic salary as allowances. What is the ratio of the basic salaries of A and B ?

A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of the speed ofthe policeman and the thief is=?

A box contains 280 coins of one rupee, 50 paise and 25 paise. The value of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is = ?

The ratio of the ages of two persons is 4 : 7 and the age of one of them is greater than that of the other by 30 years. The sum of their ages (in years) is = ?

Incomes of A, B, and C are in the ratio 7 : 9 : 12 and their respective expenditures are in the ratio 8 : 9 : 15. If A saves $$\frac{{\text{1}}}{{\text{4}}}$$ of his income, then the ratio of their savings is -

The sides of a triangle are in the ratio $$\frac{{\text{1}}}{{\text{2}}}$$ : $$\frac{{\text{1}}}{{\text{3}}}$$ : $$\frac{{\text{1}}}{{\text{4}}}$$ and its perimeter is 104 cm. The length of the longest side (in cm) is -

The ratio of the incomes of Ram and Shyam is 7 : 17 and that of Shyam and Sohan is 7 : 17. If the income of Ram is Rs. 490, what is the income of Sohan ?

A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of C is Rs. 2580 more than the share of B, then what is the total amount A and D together ?

A sum of Rs. 76 is divided among A, B and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 6 more than what C gets. The ratio of their share is gets. The ratio of their share is = ?

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 by = ?

Two numbers are in the ratio 17 : 45. One third of the smaller is less than $$\frac{{\text{1}}}{{\text{5}}}$$ of the bigger by 15. The smaller number is -

The ratio of the length of a school ground to its width is 5 : 2. If the width is 40m, then the length is = ?

If A : B = 7 : 9 and B : C = 3 : 5 then A : B : C is equal to = ?

Which of the following represents a correct proportion ?

Two glasses of equal volume respectively are half and three - fourths filled with milk. They are then filled to brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel ?

A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, then the ratio of gold and copper in alloy C will be.

Last year, the ratio between the salaries of A and B was 3 : 4. But the ratios of their individual salaries between last year and this year were 4 : 5 and 2 : 3 respectively. If the sum of their present salaries is Rs. 4160, then how much is the salary of A now ?

Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2. Had 4 more students passed, then the ratio of successful to unsuccessful students will be = ?

Rs. 730 were divided among A,B,C in such a way that if A gets Rs. 3 then B gets Rs. 4 and If B gets Rs. 3.5 then C gets Rs. 3. The share of B exceeds that of C by = ?