What is the ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is?

A. 5 : 1

B. 1 : 5

C. 5 : 2

D. 2 : 5

5 : 1

Say A : B = 12 : 30

First, we need to find third proportion

A : B = B : C => 12 : 30 = 30 : C

=> C = 75

Next, we need to find mean proportion of 9 and 25

So, Mean Proportion (D) = √ 9 x 25 = 15

We need to find C : D

=> 75 : 15 = 5 : 1

A bag contains 50p, 25p and 10p coins in the ratio 5 : 9 : 4 amounting to Rs.206. Find the number of coins of 10p?

A. 206

B. 200

C. 360

D. 160

160

Given that, Total amount = Rs.206/-

50p : 20p : 10p = 5 : 9 : 4

As total amount is in rupees convert the paise into rupees.

Say Z is the ratio constant

=> 5Z x 0.5 + 9Z x 0.25 + 4Z x 0.1 = 206

=> Z = 40

The number of 10p coins = 4Z = 4 x 40 = 160

In a class, there are 100 students and among them 40 are girls. What is the ratio of the number of boys to the number of girls?

A. 3 : 2

B. 2 : 3

C. 1 : 1

D. 3 : 4

3 : 2

Given that, Total students = 100

Girls = 40

=> Boys = 100 - 40 = 60

Ratio of number of boys to number of girls is

=> 60 : 40 = 3 : 2

The Ratio of Science and Arts students in a college is 4:3. If 14 Science students shift to Arts then the ratio becomes 1:1. Find the total strength of students in both science and arts together

A. 196

B. 206

C. 296

D. 306

196

Ratio of Science and Arts students = 4:3

Say, the ratio constant is Z, so that the ratio = 4Z:3Z

Given, 14 Science students shifted to Arts

=> (4Z - 14) : (3Z + 14) = 1 :1

=> Z = 28

Total Students = 4Z + 3Z = 196

If 0.75 : Z : : 5 : 8, then Z is equal to

A. 1.1

B. 1.2

C. 1.3

D. 1.4

1.2

Given that 0.75 : Z : : 5 : 8

=> Z x 5 = 0.75 x 8

=> Z = 6/5

=> Z = 1.2

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A. 2 : 5

B. 3 : 5

C. 4 : 5

D. 7 : 5

4 : 5

Let the third number be z

First number = 120% of z = 120z/100 = 6z/5

Second number = 150% of z = 150z/100 = 3z/2

Ratio of these two numbers = 6z/5 : 3z/2 = 12z : 15z = 4 : 5

A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

A. Rs. 460

B. Rs. 484

C. Rs. 550

D. Rs. 664

Rs. 484

(4/15) A = (2/5) B

=> A = [ (2/5) x (15/4) ] B

=> A = (3/2) B

=> A/B = 3/2

=> A : B = 3 : 2

=> B's share = Rs. [ 1210 x (2/5) ] = Rs. 484

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A. Rs. 500

B. Rs. 1000

C. Rs. 1500

D. Rs. 2000

Rs. 2000

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively

Then, 4x - 3x = 1000

=> x = 1000

=> B's share = Rs. 2x = (2 X 1000) = Rs. 2000

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A. 2 : 3 : 4

B. 6 : 7 : 8

C. 6 : 8 : 9

D. None of these

2 : 3 : 4

Originally, let the number of seats for Mathematics, Physics and Biology be 5z, 7z and 8z respectively

Number of increased seats are (140% of 5z), (150% of 7z) and (175% of 8z)

=> [ (140/100) x (5z) ] , [ (150/100) x (7z) ] and [ (175/100) x (8z) ]

=> 7z, (21z/2) and 14z

=> The required ratio = 7z : (21z/2) : 14z

=> 2 : 3 : 4

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

A. 20 litres

B. 40 litres

C. 60 litres

D. 80 litres

60 litres

Quantity of milk = 60 x (2/3) litres = 40 litres

Quantity of water in it = (60-40) litres = 20 litres

New ratio = 1 : 2

Let quantity of water to be added further be z litres

Then, milk : water = 40/(20+z)

Now, 40/(20+z) = 1/2

=> 20+z = 80

=> z = 60

=> Quantity of water to be added = 60 litres

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

A. 8 : 9

B. 17 : 18

C. 21 : 22

D. Cannot be determined

21 : 22

Originally, let the number of boys and girls in the college be 7*z* and 8*z* respectively.

Their increased number is (120% of 7*z*) and (110% of 8*z*)

=> [ (120/100) x 7z ] and [ (110/100) x 8z ]

=> 42z/5 and 44z/5

=> The required ratio = ( 42z/5 : 44z/5 ) = 21 : 22

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

A. Rs. 17,000

B. Rs. 20,000

C. Rs. 25,500

D. Rs. 38,000

Rs. 38,000

Let the original salaries of Ravi and Sumit be Rs. 2*z* and Rs. 3*z* respectively

Then, (2z+4000) / (3z+4000) = 40 / 57

57(2*z* + 4000) = 40(3*z* + 4000)

6*z* = 68,000

3*z* = 34,000

Sumit's present salary = (3*z* + 4000) = Rs.(34000 + 4000) = Rs. 38,000

The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

A. 20

B. 30

C. 40

D. 50

30

Let the three parts be A, B, C.

Then, A : B = 2 : 3 and B : C = 5 : 8 = (5 x (3/5)) : (8 x (3/5)) = 3 : 24/5

=> A : B : C = 2 : 3 : 24/5 = 10 : 15 : 24

=> B = 98 x (15/49) = 30

If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4 then the first part is:

A. Rs. 182

B. Rs. 190

C. Rs. 196

D. Rs. 204

Rs. 204

Given ratio =1/2 : 2/3 : 3/4 = 6 : 8 : 9

=> 1st part = Rs. ( 782 x (6/23) ) = Rs. 204

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

A. 3 : 3 : 10

B. 10 : 11 : 20

C. 23 : 33 : 60

D. Cannot be determined

23 : 33 : 60

Let A = 2k, B = 3k and C = 5k

A's new salary = (115/100) x 2k = 23k/10

B's new salary = (110/100) x 3k = 33k/10

C's new salary = (120/100) x 5k = 6k

=> New Ratio = [ (23k/10) : (33k/10) : 6k ] = 23 : 33 : 60

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

5 : 3

Let 40% of A = (2/3) B

Then, (40A/100) = (2B/3)

=> 2A/5 = 2B/3

=> A/B = [ (2/3) x (5/2) ] = 5/3

=> A : B = 5 : 3

The fourth proportional to 5, 8, 15 is:

A. 16

B. 20

C. 24

D. 28

24

Let the fourth proportional to 5, 8, 15 be z

Then, 5 : 8 : 15 : z

=> 5z = (8 x 15)

=> z = 24

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

A. 27

B. 30

C. 33

D. 36

33

Let the numbers be 3z and 5z

Then, (3z-9) / (5z-9) = 12 / 23

=> 23 (3z-9) = 12 (5z-9)

=> z = 11

=> The smaller number = (3 x 11) = 33

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

A. 50

B. 100

C. 150

D. 200

150

Let the number of 25 p, 10 p and 5 p coins be z, 2z and 3z respectively

Then, sum of their values = Rs. [ (25z/100) + ((10x2z)/100) + ((5x3z)/100) ] = Rs. (60z/100)

=> (60z/100) = 30

=> z = 50

Hence, the number of 5 p coins = (3 x 50) = 150

Which of the following fractions is the smallest?

A. 13/16

B. 15/19

C. 17/21

D. 7/8

15/19

No Explanation available for this question

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

4 : 15

No Explanation available for this question

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

10 years

No Explanation available for this question

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

Rs. 5,500

No Explanation available for this question

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

2

No Explanation available for this question

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

A. 5 : 7

B. 3 : 5

C. 3 : 4

D. 4 : 5

3 : 4

No Explanation available for this question

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

A. 3 :4

B. 4 : 3

C. 17 :16

D. 16 : 17

4 : 3

No Explanation available for this question

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

4 : 15

No Explanation available for this question

337.62 + 8.591 + 34.4 =?

A. 370.611

B. 380.511

C. 380.611

D. 426.97

380.611

No Explanation available for this question

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

10:13

No Explanation available for this question

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

17/24

No Explanation available for this question