Q:

3131×31-27 =?

A) 961 x 861 B) 961 x 961
C) 961 x 2 D) 29791
 
Answer & Explanation Answer: B) 961 x 961

Explanation:

We know that am×an=am+n 

3131-27 = 314 = 961 x 961.

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Filed Under: Numbers - Quantitative Aptitude - Arithmetic Ability
Exam Prep: CAT
Job Role: Bank PO

6 2464
Q:

 If a2 = 12, then a4 =? 

 

A) 144 B) 72
C) 36 D) 24
 
Answer & Explanation Answer: A) 144

Explanation:

a4 = a2 x a2 = 12 x 12 = 144

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0 2387
Q:

3x + y = 19  and x + 3y = 1. Find the value of 2x + 2y

A) 20 B) 18
C) 11 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

To solve a pair of simultaneous equations such as those given we can add or subtract them.

Adding we get 4x + 4y = 20

Therefore 2x + 2y = 10

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0 2379
Q:

A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot).

A) 17 B) 18
C) `19 D) 20
 
Answer & Explanation Answer: A) 17

Explanation:

The fence will consist of one more post than there are chains. (e.g. P-c-P-c-P).

Therefore, a total length has to be a multiple of the length of the chain plus one post (5.5) plus one post extra.We have length = (5.5n + 0.5), where n can be any positive whole number. If n= 3, length =17

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2 2302
Q:

For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?

A) 48 B) 49
C) 50 D) 51
 
Answer & Explanation Answer: C) 50

Explanation:

1 < 4n + 7 < 200

n can be 0, or -1

n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1.

The largest value for n will be an integer < (200 - 7) /4

193/4 = 48.25, hence 48

The number of integers between -1 and 48 inclusive is 50

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0 2003
Q:

Find the next number in the series 125, 80, 45, 20, ....

 

A) 5 B) 15
C) -5 D) 10
 
Answer & Explanation Answer: A) 5

Explanation:

The pattern is -45, -35, -25, -15

The next number = 20-15= 5

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10 1961
Q:

Find the next number in the series 14, 916, 2536,......

A) 4981 B) 6481
C) 4964 D) 6449
 
Answer & Explanation Answer: C) 4964

Explanation:

The pattern is 12 22, 32 42, 52 62

The next number= 72 82= 4964

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11 1872
Q:

Find the unit digit of 4198 + 612345 + 34866 + 2411 + 1.

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

Explanation:

Given that, 4198+612345+34866+2411+1


Now Power Cycle of

4 is 4, 6 

6 is 6 

8 is 8, 4, 2, 6

1 is 1

 

4198- 198 is even number , So the unit digit value is 6 

 

612345 - It is always 6

 

34866-  66/4 the remainder is 2 , So the second value is 4

 

2411- 11 is odd number, So the unit digit value is 4

 

1 - It is always 1 


Total = 21

 

Therefore, The unit digit is 1

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Filed Under: Numbers - Quantitative Aptitude - Arithmetic Ability
Exam Prep: CAT
Job Role: Bank PO

5 1825