### Ibps - Aptitude - Ratio And Proportion

Which of the following fractions is the smallest?

A.  13/16

B.  15/19

C.  17/21

D.  7/8

If A : B =8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to:

A.  2 : 7

B.  4 : 15

C.  8 : 15

D.  15 : 4

Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?

A.  5 years

B.  10 years

C.  20 years

D.  37 years

Girish started a business investing Rs. 45,000. After 3 months, Vijay joined him with a capital of Rs. 60,000. After another 6 months, Ankush joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. What is Girish’s share of profit ?

A.  Rs. 5,500

B.  Rs. 6,000

C.  Rs. 6,600

D.  As. 5,900

E.  None of these

If a/3 = b/4 = c/7, then a + b + c /c is equal to:

A.  7

B.  2

C.  1/2

D.  1/7

Two whole numbers whose sum is 72 cannot be in the ratio:

A.  5 : 7

B.  3 : 5

C.  3 : 4

D.  4 : 5

If 15% of x = 20% of y, then x : y is:

A.  3 :4

B.  4 : 3

C.  17 :16

D.  16 : 17

If A : B =8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to:

A.  2 : 7

B.  4 : 15

C.  8 : 15

D.  15 : 4

337.62 + 8.591 + 34.4 =?

A.  370.611

B.  380.511

C.  380.611

D.  426.97

The ratio between the whole expenses on taxes for every year and the entire expenses on fuel and transports for every year is around

A.  8:56

B.  4:12

C.  3:78

D.  10:13

E.  5:78

Which of the following fractions is less than 7/8 and greater than 1/3?

A.  1/4

B.  23/24

C.  11/12

D.  17/24

x varies inversely as square of y. Given that y=2 for x=1 The value of x for y=6 will be equal to:

A.  3

B.  9

C.  1/3

D.  1/9

If A : B = 5 : 7 and B: C = 6 : 11, then A : B : C is :

A.  55 : 77 : 66

B.  30 : 42 : 77

C.  35 : 49 : 42

D.  None of these

A, B and C went to buy ration from a wholesale market. They had a combined sum of Rs 900. A spent 80%, B spent 70% and C spent 75%of their respective amounts. Now the ratio of amounts left with them is 4 : 9 : 10. Find the ratio of amounts they had in the beginning.

A.  2 : 4 : 3

B.  3 : 4 : 2

C.  5 : 2 : 2

D.  2 : 3 : 4

What is the ratio whose terms differ by 50 and the measure of which is 3 / 5

A.  80

B.  95

C.  60

D.  75

A Started a business with 4500 and another person B joined after some period with  3,000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2:1

A.  After 3 Months

B.  After 4 Months

C.  After 6 Months

D.  After 2 1/2 Months

E.  None of these

A tempo is insured to the extent of 4 5 of its original value. If the premium on it at the rate of 1.3 percent amounts to Rs. 910, the original value of the tempo is

A.  Rs. 78,000

B.  Rs. 78,500

C.  Rs. 80,000

D.  Rs. 85,000

E.  Rs. 87,500

From a number of apples, a man sells half the number of existing apples plus 1 to the first customer, sells 1/3rd of the remaining apples plus 1 to the second customer and 1/5th of the remaining apples plus 1 to the third customer. He then finds that he has 3 apples left. How many apples did he have originally?

A.  15

B.  18

C.  20

D.  25x

From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the uncut to the cut portion?

A.  1 : 3

B.  4 : 1

C.  3 : 1

D.  4 : 3

If the ratio of sec w to cosec w is 1:7, then the ratio of tan w to cot w is

A.  1:16

B.  2:45

C.  3:45

D.  9:15

E.  8:43

Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7 : 9, how old is sachin?

A.  16 years

B.  18 years

C.  28 years

D.  Cannot be determined

E.  None of these

If 40%  of a number is equal to two-third of another number, what is the ratio of first number to the second number ?

A.  2 : 5

B.  3 : 7

C.  5 : 3

D.  7 : 3

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was again of Rs. 4005, then what will be the share of Kamal?

A.  Rs. 890

B.  Rs. 1335

C.  Rs. 1602

D.  Rs. 1780

5 (P ‘s Capital ) = 10 (Q’s Capital)=15 (R’s Capital) then the ratio of their capital is

A.  6 : 3 : 2

B.  2 : 7 : 9

C.  8 : 5 : 3

D.  2 : 3 : 1

If( 4x2 – 3y2) : (2x2 + 5y2)= 12 : 19, then (x : y) is:

A.  2 : 3

B.  1 : 2

C.  3 : 2

D.  2 : 1

A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after  one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years?

A.  10 : 10 : 9

B.  20 : 20 : 19

C.  20 : 19 : 18

D.  None of these

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and 10 months, a profit of Rs. 378 is divided among them. What is B’s share?

A.  Rs. 129

B.  Rs. 144

C.  Rs. 156

D.  Rs. 168

A certain amount was divided between A and B in the ratio 4 : 3. If B’s share was Rs. 4800, the total amount was:

A.  Rs. 11, 200

B.  Rs. 6400

C.  Rs. 19,200

D.  Rs. 39,200

In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

A.  1:2

B.  2:1

C.  2:3

D.  3:2

A,B,C enter into a partenership investing Rs.35,000, Rs.45,000 and Rs.55,000 respectively.The respective shares of A,B,C in an annual profit of  Rs.40,500 are:

A.  Rs.10,500,Rs.13,500,Rs.16,500

B.  Rs.11,500,Rs.13,000,Rs.16,000

C.  Rs.11,000,Rs.14,000,Rs.15,500

D.  Rs.11,500,Rs.12,500,Rs.16,500