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Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in the series 3,12,27,48,75,x,147

A) 108 B) 127
C) 112 D) 85
 
Answer & Explanation Answer: A) 108

Explanation:

The terms of the given series are 3*(1*1),3*(2*2),3*(3*3),3*(4*4), . . . .
So,missing term is 3*(6*6)=108

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Q:

The sum of the two numbers is 12 and their product is 35.What is the sum of the reciprocals of these numbers?

A) 12/35 B) 1/35
C) 35/8 D) 7/32
 
Answer & Explanation Answer: A) 12/35

Explanation:

Let a and b are the numbers.Then a+b is 12 and ab is 35.

 

a+b/ab = 12/35

 

1/b + 1/a = 12/35

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Q:

How many of the following numbers are divisible by 132?

264,396,462,792,968,2178,5184,6336

A) 4 B) 5
C) 6 D) 7
 
Answer & Explanation Answer: A) 4

Explanation:

132 = 4 x 3 x 11, So if the number is divisible by all three numbers 4,3 and 11,then the number is divisible by 132 also.
264   => 4,3,11(/)
396   => 4,3,11(/)
462   => 11,3
792   => 4,3,11(/)
968   => 11,4
2178 => 11,3
5184 => 3,4
6336 => 4,3,11(/)
Required number of numbers=4.

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Q:

Which one of the following cannot be the square of a natural number?

A) 32761 B) 42437
C) 81225 D) 20164
 
Answer & Explanation Answer: B) 42437

Explanation:

The square of a natural number never ends in 7.
42437 is not the square of a natural number

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Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in given series 1,2,6,15,31,56,x

A) 65 B) 78
C) 81 D) 92
 
Answer & Explanation Answer: D) 92

Explanation:

The pattern is + 1*1,+ 2*2, +3*3, + 4*4,+ 5*5,+ 6*6, . . . . . . .
So missing term is 56+36=92

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Q:

On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:

A) 13 B) 12
C) 11 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

(2272-875) = 1397, is exactly divisible by N.

Now , 1397 = 11 x 127

The required 3-digit number is 127,the sum of digits is 10.

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Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in series 5,15,17,85,89,623,x

A) 825 B) 759
C) 629 D) 675
 
Answer & Explanation Answer: C) 629

Explanation:

The pattern is *3,+2,*5,+4,*7,+6, . . . . .
So missing term is 623+6=629

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Filed Under: Number Series

Q:

If the number 517?324 is completely divisible by 3,then the smallest whole number in place of ? will be:

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

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = ( 22 + x ), which must be divisible by 3.

When x=2. [(22 + 2) = 24 is divisible by 3]

So, the answer is 2

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Filed Under: Numbers