173
Q:

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) 1:2:3 B) 2:3:4
C) 3:4:5 D) 4:5:6

Answer:   B) 2:3:4



Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x]
⇒ 7x, 21x/2 and 14x.

⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4

Q:

If a : b = 2 : 5, c: b = 3 : 4, then a : b : c is equal to:

 

A) 2 : 5 : 4 B) 6 : 15 : 20
C) 2 : 5 : 3 D) 8 : 20 : 15
 
Answer & Explanation Answer: D) 8 : 20 : 15

Explanation:
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0 264
Q:

Two numbers are in the ratio 5 : 7. If the first number is 20, then the second number will be:

 

A) 8 B) 22
C) 28 D) 18 
 
Answer & Explanation Answer: C) 28

Explanation:
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2 306
Q:

If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6, then 2x : y is equal to:

 

A) 2 : 3 B) 4 : 5
C) 3 : 4 D) 1 : 2
 
Answer & Explanation Answer: A) 2 : 3

Explanation:
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2 301
Q:

If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6, then 2x : y is equal to:

 

A) 2 : 3 B) 4 : 5
C) 3 : 4 D) 1 : 2
 
Answer & Explanation Answer: A) 2 : 3

Explanation:
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2 448
Q:

If the radius of the circumcircle of an equilateral triangle is 8 cm, then the measure of radius of its incircle is:

 

A) 16cm B) 4cm
C) 12cm D) 8 cm
 
Answer & Explanation Answer: B) 4cm

Explanation:
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1 327
Q:

 A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

 

A) 25 B) 27
C) 36 D) 24
 
Answer & Explanation Answer: B) 27

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2 262
Q:

What is the ratio of the total cars sold by showroom B during the years 2014 and 2016 and the total cars sold by show room C during 2015 and 2016?

 

A) 86 : 97 B) 88 : 97
C) 85 : 97 D) 88 : 95
 
Answer & Explanation Answer: B) 88 : 97

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3 548
Q:

The efficiencies of A, B and C are in the ratio of 5 : 3 : 2. Working together, they can complete a task in 21 hours. In how many hours will B alone complete 40% of that task?

 

A) 28 B) 24
C) 35 D) 21
 
Answer & Explanation Answer: A) 28

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0 550