CAT Questions

Q:

Statements :
All kids are God.
No God is a Human.
Some Human are Son.
All Son are Men.

Conclusions :
(a) Some Son are not God.
(b) Some Men are Human.

A) Only A follows B) Only B follows
C) Both (A) and (B) follows D) Neither (A) nor (B) follows
 
Answer & Explanation Answer: C) Both (A) and (B) follows

Explanation:
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Filed Under: Statement and Conclusions
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8 4867
Q:

Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ?

A) 31 years B) 37 years
C) 46 years D) 29 years
 
Answer & Explanation Answer: A) 31 years

Explanation:

Let the present age of Pinky be x years

 

Then the age of Mary is x - 12 years

 

After 3 years,

 

Ratio of  MaryPinky = x - 9x + 3 = 58

 

8x - 72 = 5x +15

 

=> 3x = 87

 

=> x = 29

 

=> Age of Pinky = 29 years

 

=> Age of Mary = 29 - 12 = 17 years

 

Present age of Sam = 29 + 17 = 46

 

Before 15 years Sam age = 46 - 15 = 31 years.

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Filed Under: Problems on Ages
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9 4865
Q:

Find the logic in the given puzzle?

Find_The_Logic_In_The_Question1565001003.jpg image

Answer

Given that, a woman has seven children. Half of them are boys. 


Half of 7 is 3.5 which is not possible. And it is possible in only one way that all the children must be boys. Then half of them are boys.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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47 4864
Q:

A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ?

A)  11/91

B)  4/11

C)  1/11

D) 90/91

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: D) Option D

Explanation:

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14


= C414 ways = 14×13×12×114×3×2×1= 1001


Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

  C15+ C44+ C15 = 5+1+5 =11

 P(E) = n(E)n(S)=111001=191  

 

 Required probability = 1-191=9091

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Filed Under: Permutations and Combinations
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8 4863
Q:

The act of violating the sanctity of the church is called Sacrilege.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

The act of violating or misuse of what is regarded as sacred i.e, like the sanctity of the church is called Sacrilege.

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Subject: English
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4 4863
Q:

If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is 

A) 9! B) 9!/2
C) 10! D) 10!/2
 
Answer & Explanation Answer: D) 10!/2

Explanation:

As A1 speaks always after A2, they can speak only in  1st  to 9th places and 

 

A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place 

 

A2 can speak in 9 places the remaining 

 

 A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e

 

when A2 speaks in the first place, the number of ways they can speak is 9.8!.

 

When A2 speaks in second place, the number of ways they can speak is  8.8!.

 

When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

 

 

 

Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2

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Filed Under: Permutations and Combinations
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5 4862
Q:

The value of 13log10125 - 2log104 + log1032 :

A) 0 B) 1
C) 2 D) 4/5
 
Answer & Explanation Answer: B) 1

Explanation:
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Filed Under: Logarithms
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24 4861
Q:

Arjuna Award was introduced in _____ ?

A) 1971 B) 1961
C) 1951 D) 1987
 
Answer & Explanation Answer: B) 1961

Explanation:
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Filed Under: Honours and Awards
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8 4861