CAT Questions

Q:

If the letters of the word VERMA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word VERMA is :

A) 108 B) 117
C) 810 D) 180
 
Answer & Explanation Answer: A) 108

Explanation:

The number of words beign with A is 4! 

The number of words beign with E is 4! 

The number of words beign with M is 4! 

The number of words beign with R is 4!

 

Number of words beign with VA is 3! 

Words beign with VE are VEAMR 

VEARM

VEMAR

VEMRA

VERAM

VERMA 

Therefore, The Rank of the word VERMA = 4 x 4! + 3! + 6 = 96 + 6 + 6 =108             

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Filed Under: Permutations and Combinations
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4 8436
Q:

If 25% of three-seventh of 26% of a number is 145.5, what is the number?

A) 4987 B) 5784
C) 5223 D) 4741
 
Answer & Explanation Answer: C) 5223

Explanation:

Given, 

 

25% of three-seventh of 26% of a number is 145.5

 

Let the required number be 'N'

 

i.e, 25100x37x26100xN = 145.5

 

N = 145.5x7x1000075x26

 

=> N = 5223.07

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Filed Under: Percentage
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9 8430
Q:

Is SiCl4 polar or nonpolar?

A) Polar B) non polar
C) Both A & B D) None of the above
 
Answer & Explanation Answer: B) non polar

Explanation:

SiCl4 is a non polar as the forces of attraction between the shared pair of electrons are equal and the molecule is symmetric.

is_sicl4_polar_or_nonpolar1537793915.jpg image

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Filed Under: Chemistry
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7 8428
Q:

What is the equivalent compound ratio of 5:6::7:10::6:5  ?

A) 7 : 9 B) 9 : 7
C) 7 : 4 D) 7 : 10
 
Answer & Explanation Answer: D) 7 : 10

Explanation:

Given 5:6 :: 7:10 :: 6:5

We know that compound ratio is calculated as
a:b :: c:d :: e:f
(axcxe):(bxdxf)

=> (5x7x6):(6x10x5)
=> (210):(300)
= 7:10

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Filed Under: Ratios and Proportions
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11 8425
Q:

Chromite : Chromium : : Ilmenite :?

A) Cobalt B) Titanium
C) Limestone D) Manganese
 
Answer & Explanation Answer: B) Titanium

Explanation:

Chromite is a mineral of chromium and ilmenite is a mineral of titanium

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Filed Under: Analogy
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17 8424
Q:

What is scientific name of " Tulsi " ?

A) Gossypium Herbaceum B) Ocimum Sanctum
C) Zea Mays D) Cojonus Cgjan
 
Answer & Explanation Answer: B) Ocimum Sanctum

Explanation:
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Filed Under: General Science
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43 8419
Q:

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?

A) 3 hrs B) 6 hrs
C) 7 hrs D) 5 hrs
 
Answer & Explanation Answer: B) 6 hrs

Explanation:

Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.

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Filed Under: Time and Work
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5 8416
Q:

How many square units in 13 by 9?

A) 13 B) 9
C) 117 D) 13/9
 
Answer & Explanation Answer: C) 117

Explanation:

Number of square units in 13 by 9 is given by the area it forms with length and breadth as 13 & 9

Area = 13 x 9 = 117

 

Hence, number of square units in 13 by 9 is 117 sq.units.

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Filed Under: Area
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15 8415