Common Admission Test (CAT) Questions and Answers with Explanation

Q:

The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ?

A) 15 m	B) 4 m
C) 6 m	D) 9 m

Answer & Explanation Answer: C) 6 m

Explanation:

The edge of the new cube is = $3^{3} + 4^{3} + 5^{3} = a^{3}$ => a = 6 m.

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Q:

In OSI network architecture, the routing is performed by

A) transport layer	B) session layer
C) network layer	D) data link layer

Answer & Explanation Answer: C) network layer

Explanation:

in_osi_network_architecture_the_routing_is_performed_by1553604163.jpg image

In networking, the Open Systems Interconnection is commonly called as OSI model. It has a 7 layer architecture for the communication.

In OSI network architecture, the routing is performed by network layer which is layer number 3 with the help of intermediate routers.

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Q:

The Value of $[\log (\tan (1^{0})) + \log (\tan (2^{0})) + \dots \dots + \log (\tan (89^{0}))]$ is

A) -1	B) 0
C) 1/2	D) 1

Answer & Explanation Answer: B) 0

Explanation:

$= [\log \tan (1^{0}) + \log \tan (89^{0})] + [\log \tan (2^{0}) + \log \tan (88^{0})] + \dots \dots + [\log \tan (45^{0})]$

$= \log [\tan (1^{0}) \times \tan (89^{0})] + \log [\tan (2^{0}) \times \tan (88^{0})] + \dots \dots + \log (1)$

$[∵ \tan (90 - θ) = c o t θ a n d \tan (45^{0}) = 1]$

= log 1 + log 1 +.....+log 1

= 0.

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Q:

The number of signals that can be generated by using 5 differently coloured flags, when any number of them may be hoisted at a time is:

A) 235	B) 253
C) 325	D) None of these

Answer & Explanation Answer: C) 325

Explanation:

Required number of signals = $5 P_{1} + 5 P_{2} + 5 P_{3} + 5 P_{4} + 5 P_{5}$

= 5 + 20 + 60 + 120 + 120 = 325

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Q:

Countries that have same name as their capital cities?

Answer

Countries have the same name as their capital cities are ::

Andorra,

Djibouti,

Guatemala,

Kuwait,

Luxembourg,

Mexico,

Monaco,

Panama,

San Marino,

Singapore,

and

Vatican City.

Workspace

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Q:

A bill presented in Parliament becomes an Act after -

A) The Prime Minister has signed it	B) The Supreme Court has declared it to be within the competence of the Union Parliament
C) The President has given her/his assent	D) It is passed by both the Houses

Answer & Explanation Answer: C) The President has given her/his assent

Explanation:

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Q:

Which of the following statements about monosaccharide structure is true?

A) Aldoses and ketoses differ in the position of their hydroxyl groups.	B) Monosaccharides can be classified according to the spatial arrangement of their atoms.
C) All monosaccharides contain carbon, hydrogen, oxygen, and nitrogen atoms.	D) A six-carbon sugar is called a pentose.

Answer & Explanation Answer: B) Monosaccharides can be classified according to the spatial arrangement of their atoms.

Explanation:

Monosaccharides, also called simple sugars, are the most basic units of carbohydrates. They are fundamental units of carbohydrates and cannot be further hydrolyzed to simpler compounds.

Hence, Monosaccharides can be classified according to the spatial arrangement of their atoms is true about Monosaccharides.

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Q:

What is my PIN number ?

15284979_1144906482283121_6846321683334684022_n1500009455.png image

A) 93714	B) 42789
C) 36671	D) 93747

Answer & Explanation Answer: D) 93747

Explanation:

From the hints,

Only two options for 1st and 2nd digits => 4,2 and 9,3 since it is single digits

Sum of second and third digit = 10

If 2 => 3rd digit = 8

If 3 => 3rd digit = 7

4th digit = 2nd digit + 1 => (2+1 =3) or (3+1 = 4)

Sum of all digits = 30

Let 5th digit be x

=> 1st possibility = 4 + 2 + 8 + 3 + x = 30 => x = 13 (Not possible since it has 2 digits)

=> 2nd possibility = 9 + 3 + 7 + 4 + x = 30 => x = 7

Therefore, the PIN is 93747

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