## The ratio of 500: 1500?

A. 2: 3

B. 3: 5

C. 5: 10

D. 10: 15

### Answer

Correct Answer: **B. 3: 5**** **

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# Category: Ratio and Proportion MCQs

## The ratio of 500: 1500?

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

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

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## Find the fourth proportion to 3, 7 and 9.

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## A:B=2:3, B:C=3:4, A:D=4:5. Find C:D.

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## The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.

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## Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.

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## The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

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## The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.

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## If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?

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A. 2: 3

B. 3: 5

C. 5: 10

D. 10: 15

Correct Answer: **B. 3: 5**** **

A. 20

B. 30

C. 48

D. 58

Correct Answer: **B. 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.

A. 2: 5

B. 3: 5

C. 4: 5

D. 6: 7

Correct Answer: **C. 4: 5**** **

Let the third number be x.

Then, first number = 120% of x = 120x/100 = 6x/5 second numbet = 150% of x = 150x/100 = 3x/2 Ratio of first two numbers = 6x/5 : 3x/2 =12x : 15x = 4 : 5.

A. 63

B. 31

C. 21

D. 27

Correct Answer: **C. 21 **

3:7::9:x 3x=7*9=63 x=21

A. 2:5

B. 4:5

C. 6:5

D. 8:5

Correct Answer: **D. 8:5 **

A:C=(A:B)*(B:C) =(2/3)*(3/4)= 1/2 C:D=(C:A)*(A:D) =(2)*(4/5) = 8:5

A. 6:10

B. 13:20

C. 3:4

D. 35:33

Correct Answer: **B. 13:20 **

Let the number of seats be 5x and 8x. New ratio

= (1.3*5x):(1.25*8x)

= 6.5x:10x

= 13:20

A. 38

B. 35

C. 10

D. 28

Correct Answer: **A. 38 **

Let z = 4y-1

When x = 14, y = 2, z = (4*2) – 1 = 7

Now, x varies directly as z = 4y-1

When y = 5, z = (4*5) – 1 = 19

x 14 7

y – 19

Therefore, x = (14*19)/7 = 38

A. 4

B. 6

C. 3

D. 2

Correct Answer: **A. 4 **

Let the numbers be 2x and 3x. (2x)³+(3x)³=280 8x³+27x³=280 35x³=280 x³=8 x=2 The numbers are 4 and 6.

A. 44

B. 55

C. 66

D. 77

Correct Answer: **B. 55 **

Let the numbers be a, b and c. a+b+c = 172 a:b = 8:11 b:c = 5:7 11a = 8b a = 8b/11 7b = 5c c = 7b/5 (8b/11)+b+(7b/5) = 172 40b+55b+77b = 172*55 172b = 172*55 b=55

A. 9:19

B. 19:9

C. 15:28

D. 28:15

Correct Answer: **B. 19:9 **

Let A1 be the area of flat and A2 be that of the commercial space

Total cost = area * rate

Therefore, cost of flat = A1*4500 ; cost of commercial space = A2*9500

Both the above costs are same

A1*4500 = A2*9500

A1:A2 = 9500:4500 = 19:9