In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is ?

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In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is ?

A25

B64

C48

DNone of these

Nithin ? undefined

Correct answer is: 64

Explanation:

∵ 5 : 8 : : 40 : N
N = \(\frac{40 \times 8}{5}\)
∴ consequent N = 64

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The difference between the present age of Anil and Sudhii is 6 years. The ratio between their age after 4 years will be 3 : 4. What can be the present age of Sudhir?

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The difference between the present age of Anil and Sudhii is 6 years. The ratio between their age after 4 years will be 3 : 4. What can be the present age of Sudhir?

A15 years

B18 years

C20 years

D24 years

Nithin ? undefined

Correct answer is: 20 years

Explanation:

After four years.
Anil a = 3x years
Sudhir = 4x years
In the present,
4x - 4 - 3x + 4 = 6 => x = 6
Therefore, Sudhir's present age = 4x - 4 = \(4 \times 6 - 4\)

= 20 years

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The price of sugar is increased by 20%. If the expenditure is not allowed to increased. Then ratio between the reduction in consumption and the original consumption ?

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The price of sugar is increased by 20%. If the expenditure is not allowed to increased. Then ratio between the reduction in consumption and the original consumption ?

A1 : 3

B1 : 4

C1 : 6

D1 : 5

Nithin ? undefined

Correct answer is: 1 : 6

Explanation:

Reduction in consumption = \(\frac{20}{120} \times 100 \text{%} = \frac{50}{3}\text{%}\)

∴ Reduction in consumption /Original consumption = \(\frac{\frac{50}{3} }{100} = \frac{1}{6} = 1 : 6\)

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The ratio between the rates of travelling of A and B is 2 : 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

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The ratio between the rates of travelling of A and B is 2 : 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

A30 min

B35 min

C20 min

D45 min

Nithin ? undefined

Correct answer is: 30 min

Explanation:

We know that speed is inversely proportional to time. Therefore,
Time taken by A : Time taken by B =
Let B takes x min. Then, A takes (x + 20) min.

\(\therefore \left(x+20\right) : x = \frac{1}{2}:\frac{1}{3}=3:2\)

\(\implies \frac{x+20}{x}=\frac{3}{2} \implies 2x+40 = 3x\)

\(x=40 \)

\((x+20) \text{ or } \left(40+20\right) = 60 min\)

Therefore,
At double the speed, A would have covered it in 30 min.

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The ratio between two numbers is 2 : 3. If each number is increased by 4. the ratio between them becomes 5 : 7, the difference between the numbers is

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The ratio between two numbers is 2 : 3. If each number is increased by 4. the ratio between them becomes 5 : 7, the difference between the numbers is

A8

B6

C4

D2

Nithin ? undefined

Correct answer is: 8

Explanation:

Let. Numbers 2x and 3x

Therefore, \(\frac{2x+4}{3x+4}=\frac{5}{7}\)

\(\implies 15x + 20 = 14x + 28\)

\(\implies x = 28 - 20 = 8\)

=Difference between numbers.

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If x:y = 4:5, then (3x + y):(5x 3y) =

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If x:y = 4:5, then (3x + y):(5x 3y) =

A3:5

B5 : 3

C17 : 35

D35 : 17

Nithin ? undefined

Correct answer is: 17 : 35

Explanation:

\(=\frac{x}{y}= \frac{4}{5}\)

\(= \therefore\frac{3x+y}{5x+3y} = \frac{3\frac{x}{y}+1}{5\frac{x}{y}+3}\)
\(\implies \frac{\frac{12+5}{5}}{7}\)

\(\implies \frac{17}{35}\)

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The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their age will be 13 : 9. What is the difference (in years) between their age?

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The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their age will be 13 : 9. What is the difference (in years) between their age?

A4 years

B12 years

C6 years

D8 years

Nithin ? undefined

Correct answer is: 8 years

Explanation:

Let the present age of Sonal and Nitya be 9x and 5x years respectively
According to the question,

\(\frac{9x+8}{8x+8}=\frac{13}{9}\)

\(\implies 81x + 72 = 65x + 104\)

\(\implies 81x - 65x = 104 - 72\)

\(\implies 16x = 32\)

\(\implies x = \frac{32}{16} = 2\)

Therefore, Required difference = \(9x - 5x\) = \(4 \times 2\) = 8 years

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