CAT Questions

Q:

Which sample is a pure substance?

A) Table salt B) Pure water
C) a test tube of zinc oxide D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

A pure substance can be defined as any single type of material that has not been contaminated by another substance. In chemistry, a pure substance has a definite composition. It can be a compound or an element. A pure substance is considered to be a material that consists of one type of "building block" of matter.

Examples of pure substances include tin, sulfur, diamond, water, pure sugar (sucrose), table salt (sodium chloride) and baking soda (sodium bicarbonate).

Tin, sulfur, and diamond are examples of pure substances which are chemical elements. All elements are pure substances.

Water, sugar, salt and baking soda are pure substances which are chemical compounds. Chemical compounds also are pure substances

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Filed Under: Chemistry
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2 3974
Q:

There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?

A) 2596 B) 1024
C) 256 D) 64
 
Answer & Explanation Answer: B) 1024

Explanation:

Fruits reduced by 1/4.
Total no. of bags N = 5
Formula to find no. of fruits in 1st bag = 4^n
Last Bag = 4 fruits.
That means, 4th bag = 4 x 4 = 16 fruits
3rd bag = 16 x 4 = 64 fruits
2nd bag = 64 x 4 = 256 fruits
1st bag = 256 x 4= 1024 fruits.

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Filed Under: Arithmetical Reasoning
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3 3972
Q:

How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ?

A) 9216 B) 10246
C) 12345 D) 7527
 
Answer & Explanation Answer: A) 9216

Explanation:

It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.

That is 9,216 of those squares.

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Filed Under: Volume and Surface Area
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7 3971
Q:

Which state government has launched 'People First' mobile application for grievance redressal ?

A) Uttar Pradesh B) Maharashtra
C) Gujarat D) Andhra Pradesh
 
Answer & Explanation Answer: D) Andhra Pradesh

Explanation:
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15 3968
Q:

The granting of fundamental rights to citizens aims at ensuring ?

A) Socialistic government B) Individual liberty
C) An Independent judiciary D) None of the above
 
Answer & Explanation Answer: B) Individual liberty

Explanation:
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10 3967
Q:

1422 ÷ 1260.25 = ?

A) 586 B) 578
C) 568 D) 566
 
Answer & Explanation Answer: C) 568

Explanation:

142 x 142 x 11260.25

 

=> 142 x 142 x 135.5  = 568

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Filed Under: Simplification
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4 3967
Q:

Derivative of sinx by first principle?

A) -sinx B) -cosx
C) cosx D) sinx
 
Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

 

Thus, the derivative of sinx by first principle is cosx.

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Q:

Select a suitable figure from the four alternatives that would complete the figure matrix.

     1366338589-11484717605.jpg image

 1366338589-121484717623.jpg image

    (1)   (2)   (3)   (4)

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

Explanation:

One line is increasing in each subsequent figue.

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13 3966