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Q:

476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:

A) 6 and 2 B) 8 and 2
C) 6 and 5 D) 8 and 5
 
Answer & Explanation Answer: D) 8 and 5

Explanation:

Let the number  be 476ab0 

 

476ab0 is divisible by 3 

=> 4 + 7 + 6 + a + b + 0 is divisible by 3

=> 17 + a + b is divisible by 3 ------------------------(i)

 

476ab0 is divisible by 11

[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11

=> [3 + (b - a)] is 0 or divisible by 11  --------------(ii)

 

Substitute the values of a and b with the values given in the choices and select the values which satisfies both Equation 1 and Equation 2.

 

if a=6 and b=2, 

17 + a + b = 17 + 6 + 2 = 25 which is not divisible by 3 --- Does not meet equation(i).Hence this is not the answer

 

if a=8 and b=2, 

17 + a + b = 17 + 8 + 2 = 27 which is divisible by 3 --- Meet equation(i)

[3 + (b - a)] = [3 + (2 - 8)] = -3 which is neither 0 nor divisible by 11---Does not meet equation(ii).Hence this is not the answer

 

if a=6 and b=5, 

17 + a + b = 17 + 6 + 5 = 28 which is not divisible by 3 --- Does not meet equation (i) .Hence this is not the answer

 

 

if a=8 and b=5, 

17 + a + b = 17 + 8 + 5 = 30 which is divisible by 3 --- Meet equation 1

[3 + (b - a)] = [3 + (5 - 8)] = 0 ---Meet equation 2

Since these values satisfies both equation 1 and equation 2, this is the answer

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Q:

Find out the wrong term in the series 4,8,15,25,36,54

A) 28 B) 38
C) 30 D) 48
 
Answer & Explanation Answer: B) 38

Explanation:

The correct pattern is +4,+7,+10,+13,+16
So, 36 is wrong term and it must be replaced by 25+13=38

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Filed Under: Number Series

Q:

Find out the wrong term in the series 169,144,121,100,85,64

A) 144 B) 100
C) 85 D) 64
 
Answer & Explanation Answer: C) 85

Explanation:

The sequence is 13*13,12*12,11*11,10*10,9*9,8*8, . . . . . .
So,85 is wrong term and must be replaced by 9*81

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Q:

If the product 4864*9 P 2 is divisible by 12, the value of p:

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

Explanation:

Clearly 4864 is divisible by 4
So, 9 P 2 must be divisible by 3. So (9+P+2) must be divisible by 3.
So P=1.

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Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in the series 31,45,35,47,39,x,43,51,47,53

A) 48 B) 49
C) 36 D) 38
 
Answer & Explanation Answer: B) 49

Explanation:

The given sequence is a combination of two series
1)31,35,39,43,47
2) 45,47,49,51,53
So,the missing term is 49

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Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in the series 6834,6151,5536,4983,x

A) 4467 B) 4538
C) 4184 D) 4485
 
Answer & Explanation Answer: D) 4485

Explanation:

Each term in the series is obtained by subtracting from the preceding term the number formed by the first three digits of preceding term
So,missing term is 4983-498=4485

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Q:

854*854*854-276*276*276854*854+854*276+276*276=?

A) 546 B) 578
C) 607 D) None of these
 
Answer & Explanation Answer: B) 578

Explanation:

Given exp . is like this 854*854*854-276*276*276854*854+854*276+276*276=?

 

so ans = 854 - 276 = 578

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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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Filed Under: Number Series