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Q:

Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?

A) 6, 14 B) 8, 12
C) 4, 16 D) 10, 10
 
Answer & Explanation Answer: A) 6, 14

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Q:

Which one of the following is an irrational number?

A) √59059 B) 231/593
C) 0.454545.... D) 0.121122111222
 
Answer & Explanation Answer: D) 0.121122111222

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Q:

By which least number should 5000 be divided so that it becomes a perfect square?

A) 2 B) 5
C) 10 D) 15
 
Answer & Explanation Answer: A) 2

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Q:

How many numbers divisible by 125 can be written by using all the digits 2,3,8,7,5 exactly once?

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

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Q:

What least number must be subtracted from 518, so that the sum is completely divisible by 13?

A) 11 B) 10
C) 9 D) 12
 
Answer & Explanation Answer: A) 11

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Q:

What will be the next set of numbers in the series? (2,3), (3,5), (5,7), (7,11), (11,13), ___

A) 13,15 B) 15,17
C) 13,17 D) 13,19
 
Answer & Explanation Answer: C) 13,17

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Q:

What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?

A) 6 B) 4
C) 2 D) 3
 
Answer & Explanation Answer: D) 3

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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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