33
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:   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

Q:

Which number will fit in '?' place in the following series?

 

12, 23, 45, 89, ?

 

A) 175 B) 176
C) 177 D) 178
 
Answer & Explanation Answer: C) 177

Explanation:
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6 1500
Q:

Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark (?) in figure C.

 

 

A) 61 B) 21
C) 16 D) 81
 
Answer & Explanation Answer: C) 16

Explanation:
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1 302
Q:

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

 

A) -2/3 B) 2/3
C) 3/2 D) -3/2
 
Answer & Explanation Answer: A) -2/3

Explanation:
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2 418
Q:

What will be the 20th term in the given sequence?

 

-50, -47, -44, _

 

A) -10 B) 10
C) -7 D) 7
 
Answer & Explanation Answer: D) 7

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9 2143
Q:

In the given series of numbers how many 7's are there which are immediately followed by 9 and immediately not preceeded by 5 ?

 

A) 6 B) 2
C) 1 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
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3 608
Q:

The value of 1+22+23+24+...+29 is

A) 255 B) 511
C) 1021 D) 2047
 
Answer & Explanation Answer: C) 1021

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9 1222
Q:

In an arithmetic progression if 13 is the 3rd term, -­47 is the 13th term, then ­-17 is which term?

A) 9 B) 10
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

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5 1077
Q:

What is the value of (81 + 82 + 83 + ......... +130)?

A) 5275 B) 10550
C) 15825 D) 21100
 
Answer & Explanation Answer: A) 5275

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10 1152