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Q:

Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin

A) 24.5	B) 25.5
C) 26.5	D) 27.5

Answer & Explanation Answer: A) 24.5

Explanation:

If Rahul age is x, then Sachin age is x - 7,

so, (x-7)/x =7/9

$\Rightarrow$ 9x - 63 = 7x
$\Rightarrow$ 2x = 63
$\Rightarrow$ x = 31.5

So Sachin age is 31.5 - 7 = 24.5

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Filed Under: Problems on Ages

Q:

Choose the word which is least like the others word in a group?

A) Burrow	B) Roof
C) Den	D) Nest

Answer & Explanation Answer: B) Roof

Explanation:

All except roof are dwelling places of different animals.

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Filed Under: Classification

Q:

A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :

A) 9:5	B) 2:3
C) 4:7	D) 5:6

Answer & Explanation Answer: A) 9:5

Explanation:

Dog : Hare = (3*3) leaps of hare : 5 leaps of hare = 9 : 5.

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Filed Under: Ratios and Proportions

Q:

Choose the word which is least like the others word in a group?

A) Sparrow	B) Parrot
C) Swan	D) Vulture

Answer & Explanation Answer: C) Swan

Explanation:

Only swan is a water bird

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Filed Under: Classification

Q:

Pencils, Pens and Exercise books in a shop are in the ratio of 10: 2 : 3. If there are 120 pencils, the number of exercise books in the shop is:

A) 26	B) 36
C) 46	D) 56

Answer & Explanation Answer: B) 36

Explanation:

Let Pencils = 10x, Pens = 2x & Exercise books = 3x. Now, 10x = 120 hence x = 12.
Number of exercise books = 3x = 36.

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Filed Under: Ratios and Proportions

Q:

Choose the word which is least like the others word in a group?

A) Lima	B) Algiers
C) New York	D) Tokyo

Answer & Explanation Answer: C) New York

Explanation:

All except New York are capital cities

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Filed Under: Classification

Q:

The third proportional to $(x^{2} - y^{2})$ and $(x - y)$ is :

A) (x + y )	B) (x - y)
C) (x + y) / ( x - y)	D) (x -y) / ( x + y)

Answer & Explanation Answer: D) (x -y) / ( x + y)

Explanation:

Let the third proportional to $(x^{2} - y^{2})$ and $(x - y)$ be z. Then,

$(x^{2} - y^{2}) : (x - y) : : (x - y) : z$

$= > (x^{2} - y^{2}) * z = {(x - y)}^{2}$

=> z= $\frac{{(x - y)}^{2}}{(x^{2} - y^{2})} = \frac{(x - y)}{(x + y)}$

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Filed Under: Ratios and Proportions

Q:

Choose the word which is least like the others word in a group?

A) Day	B) Calendar
C) Date	D) Month

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