Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Which of the following metals forms an amalgam with other metals ?

A) Mercury	B) Zinc
C) Tin	D) Lead

Answer & Explanation Answer: A) Mercury

Explanation:

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Q:

I have keys but no locks, I have space but no room. You can enter but can't go outside. What am I?

keys1531119373.jpg image

Answer

I am Keyboard.

A Keyboard has keys of letters, space button and enter button.

Workspace

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Q:

Solve the equation ${(\frac{1}{2})}^{2 x + 1} = 1$ ?

A) -1/2	B) 1/2
C) 1	D) -1

Answer & Explanation Answer: A) -1/2

Explanation:

Rewrite equation as ${(\frac{1}{2})}^{2 x + 1} = {(\frac{1}{2})}^{0}$

Leads to 2x + 1 = 0

Solve for x : x = -1/2

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Filed Under: Logarithms
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Q:

Assertion(A) : The pouring of kerosene oil on stagnant pools helps to eradicate malaria.
Reason(R) : The kerosene oil is poisonous for the mosquitoes.

A) R correctly explains A	B) R is true but A is fale
C) A is true but R is false	D) Both A and R are false

Answer & Explanation Answer: C) A is true but R is false

Explanation:

The kerosene oil sprayed on the water provodes a thin cating and the larvae of the mosquitoes are prevented from coming up to breathe. Thus, they die.
Hence, A is true but R is false.

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Filed Under: Assertion and Reason
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Q:

12 boys decided to constribute Rs. 750 each to an Orphange. Suddenly few of them boys dropped out and consequently the rest had to pay Rs. 150 more. Then the number of boys who dropped out?

A) 4	B) 6
C) 2	D) 3

Answer & Explanation Answer: C) 2

Explanation:

Total money decided to contribute = 750 x 12 = 9000

Let 'b' boys dropped

The rest paid 150/- more

=> (12 - b) x 900 = 9000

=> b = 2

Hence, the number of boys who dropped out is 2.

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Q:

Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture ?

A) 75 lit	B) 80 lit
C) 85 lit	D) 90 lit

Answer & Explanation Answer: B) 80 lit

Explanation:

From the given data,

let the initial quantity of the mixture = 5x

Then,

$\frac{2 x - 16}{3 x - 24 + 40} = \frac{1}{4} 8 x - 64 = 3 x + 16 5 x = 80 x = 16 lit$

Then the initial quantity of the mixture = 5x = 5 x 16 = 80 lit.

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Filed Under: Alligation or Mixture
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Q:

A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son?

A) 50 yrs	B) 25 yrs
C) 72 yrs	D) 40 yrs

Answer & Explanation Answer: A) 50 yrs

Explanation:

Let the daughter age be 'x'
Therefore, Son age = 5x, Mother age = 25x, Person age = 50x.

Thus we get, x+5x+25x+50x = 81
81x = 81
x = 1

Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

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Filed Under: Problems on Ages
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Q:

Taxonomy : Classification :: Pedology : ?

A) Mountain	B) Nature
C) Soil	D) Farming

Answer & Explanation Answer: C) Soil

Explanation:

Taxonomy is the science dealing with classification.

Similarly, pedology deals with the study of soils.

Hence, Taxonomy : Classification :: Pedology :Soils.

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Filed Under: Analogy
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