Aptitude and Reasoning Questions

Q:

When x2+ax+b is divided by (x-1), the remainder is 15 and when x2+bx+a is divided by (x+1), the remainder is -1, then the value of a2+b2 is

A) 10 B) 20
C) 8 D) 16
 
Answer & Explanation Answer: A) 10

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Q:

If x = 1/(√2+1) then the value of x2 + 2x - 1 is

A) 2√2 B) 4
C) 0 D) 2
 
Answer & Explanation Answer: C) 0

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Q:

Select the related number from the given alternatives.
12.5 : 6.25 :: 7 : ?

A) 3.5 B) 3.25
C) 6.5 D) 12
 
Answer & Explanation Answer: A) 3.5

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Q:

In the following question, select the related word pair from the given alternatives.
Heart : Organ : : ? : ?

A) Bones : Calcium B) Eyes : Organ
C) Leg : Feet D) Ear : Sense
 
Answer & Explanation Answer: B) Eyes : Organ

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Q:

In the question, two equations I and II are given. You have to solve both the equations and give answer

x2-11x+28=0y2-18y+81=0

A) x > y B) x < y
C)  x=y, or relation cannot be established between x and y D) x ≥ y
 
Answer & Explanation Answer: B) x < y

Explanation:

x2 – 11x + 28=0

x2 – 7x – 4x + 28=0

x (x-7) – 4 (x-7)=0

(x-4) (x-7)=0 x=4, 7

y2 – 18y + 81=0

y2 –9y – 9y + 81=0

y (y-9) – 9 (y-9)=0

(y-9) (y-9)=0 y=9, 9

So, x<y.

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Q:

You are given a question and two statements. Identify which of the statements is/are necessary/sufficient to answer the question.

Question:
Among the bags A, B, C and D which one is the lightest bag?

Statements:
1. B is heavier than A
2. A is lighter than C and D

A) Statement 2 alone is sufficient B) Statement 1 and 2 together are necessary
C) Statement 1 alone is sufficient D) Statement 1 and 2 are not sufficient to solve
 
Answer & Explanation Answer: B) Statement 1 and 2 together are necessary

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Q:

If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

A) 9/5 B) 11/7
C) 7/11 D) 7/4
 
Answer & Explanation Answer: D) 7/4

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Q:

If xy (x + y) = m, then the value of x3 + y3 + 3m is:

A) m3xy B) m3x+y3
C) m3x3y3 D) mx3y3
 
Answer & Explanation Answer: D) mx3y3

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