Q:

What should be the maximum value of B in the following equation?
8A9 – 6B2 + 4C6 = 723

A) 4 B) 1
C) 5 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:

   1 1
   8 A 9
+ 4 C 6
-  6 B 2
   7 2 3
We may represent the given sum, as shown below:

1 + A + C - B = 12
A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

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4 69
Q:

How many prime numbers exist in  ?

A) 29 B) 31
C) 33 D) 27
 
Answer & Explanation Answer: B) 31

Explanation:

Given    

 

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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

4 66
Q:

How many remainders are possible if  is divided by 9 for any positive integral value of n ?

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

Explanation:

When  is divided by 9, we have

, remainder = 7

, remainder = 4

, remainder = -8 or 1

, remainder = 7

, remainder = 4

, remainder = 1.

So, we have cyclicity of 3 factors i.e 7,4,1.

Hence only 3 remainders are possible.

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5 58
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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7 45
Q:

Find the next number in the series 141,137,146,130,155,119,...

 

A) 147 B) 168
C) 162 D) 182
 
Answer & Explanation Answer: B) 168

Explanation:

The pattern is -4, +9,-16, +25, -36

The next number=119+49=168

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4 14