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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The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively?

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The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively?

A97 : 95

B93 : 95

C95 : 93

D93 : 97

Nithin ? undefined

Correct answer is: 93 : 97

Explanation:

 x + x + 2 + x + 4 = 285

\(\implies 3x = 285 - 6 = 279\)

\(\implies x = = 93\)

Therefore, Required ratio = 93 : 97

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A camel pursues an elephant and takes 5 leaps for every 7 leaps of the elephant, but 5 leaps of elephant are equal to 3 leaps of camel. What is the ratio of speed of camel and elephant?

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A camel pursues an elephant and takes 5 leaps for every 7 leaps of the elephant, but 5 leaps of elephant are equal to 3 leaps of camel. What is the ratio of speed of camel and elephant?

A 21 : 25

B25 : 21

C23 : 21

D21 : 23

Nithin ? undefined

Correct answer is: 25 : 21

Explanation:

Required ratio = \(\frac{5}{3} : \frac{7}{5}\)

\(= \frac{5}{3} \times 15 : \frac{7}{5} \times 15 = 25 : 21\)

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A shopkeper placed on display some shirts each with a marked price. He then posted a board $\frac{1}{4}$ off on shirts". If the cost of a shirt was $\frac{2}{3}$ of the price at which it was actually sold, the ratio of cost and marked price 01' shirt was

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A shopkeper placed on display some shirts each with a marked price. He then posted a board $\frac{1}{4}$ off on shirts". If the cost of a shirt was $\frac{2}{3}$ of the price at which it was actually sold, the ratio of cost and marked price 01' shirt was

A1 : 2

B1 : 3

C2 : 3

D3 : 4

Nithin ? undefined

Correct answer is: 1 : 2

Explanation:

Let. S.P. of shirt = x

\(\text{C.P = }\frac{2x}{3}\)

Therefore, Marked price

\(= \frac{4}{3} \times x = \frac{4x}{3}\)

Therefore, Required ratio = \(\frac{2x}{3} : \frac{4x}{3} = 1 : 2\)

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