CAT Questions

Q:

What was the day on 15th august 1947 ?

A) Friday B) Saturday
C) Sunday D) Thursday
 
Answer & Explanation Answer: A) Friday

Explanation:

15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)

15th_August_1947_day1534219857.jpg image

 

Odd days in 1600 years = 0 

 

Odd days in 300 years = 1

 

46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day 

 

Jan.   Feb.   Mar.   Apr.   May.   Jun.   Jul.   Aug 

 

( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.

 

Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days. 

 

 

Hence, as the number of odd days = 5 , given day is Friday.

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4621 462268
Q:

Today is Monday. After 61 days, it will be :

A) Tuesday B) Monday
C) Sunday D) Saturday
 
Answer & Explanation Answer: D) Saturday

Explanation:

Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday.

 

After 61 days, it will be Saturday.

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3064 380268
Q:

Find the odd man out?

396, 462, 572, 427, 671, 264.

A) 671 B) 462
C) 427 D) 264
 
Answer & Explanation Answer: C) 427

Explanation:

Here the given series is 396, 462, 572, 427, 671, 264.

In all the terms, the middle digit is the sum of first and third digit except 427.

 

So the Odd number in the given series is 427.

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223 324763
Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4 B) 1/2
C) 3/4 D) 7/12
 
Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event

A, B, C are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 PA=12, PB=23, PC= 34

 P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = PABC 

                  = PAPBPC          A, B, C are Independent                       

                  =  12×23×34  

                  = 14  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = 1-14= 3/4

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1246 308894
Q:

What is the next number in the given Number Series?

5, 24, 94, 279, ?

A) 587 B) 554
C) 489 D) 499
 
Answer & Explanation Answer: B) 554

Explanation:

The given number series follows a pattern that

5 x 5 – 1 = 24

24 x 4 – 2 = 94

94 x 3 – 3 = 279

279 x 2 – 4 = 554

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69 262538
Q:

Find the odd number out of the following number series?

2 4 8 11.5 18.25 28.375

A) 18.25 B) 28.375
C) 11.5 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Given number series follows a pattern that,

2

2 x 1.5 + 1 = 4

4 x 1.5 + 1 = 7 (not equal to 8)

7 x 1.5 + 1 = 11.5

11.5 x 1.5 + 1 = 18.25

18.25 x 1.5 + 1 = 28.375

 

Hence, the odd number in the given number series is 8.

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56 240849
Q:

Find the odd term from the given series of numbers  ?

125, 127, 130, 135, 142, 153, 165 ?

A) 153 B) 165
C) 142 D) 127
 
Answer & Explanation Answer: B) 165

Explanation:

From the beginning, the next term comes by adding prime numbers in a sequence of 2, 3, 5, 7, 9, 11, 13... to its previous term. But 165 will not be in the series as it must be replaced by 166 since 153+13 = 166.

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45 239313
Q:

The Hardest Logic Puzzle Ever?

If a giraffe has two eyes, a monkey has two eyes, and an elephant has two eyes, how many eyes do we have?

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

Explanation:

4 eyes.

Here in the question, it is asked how many Eyes We have so that means here the person who has asked the question is also including the person who is suppose to give the answer. In a clear understanding, the Conversation is happening between 2 people 1st who asked the question and 2nd to whom it has been asked, which means there are 4 eyes.

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