Aptitude and Reasoning Questions

Q:

A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

A) 206.25 percent B) 67.35 percent
C) 33.67 percent D) 103.13 percent
 
Answer & Explanation Answer: B) 67.35 percent

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Q:

After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?

A) 4200 B) 3962
C) 4150 D) 4300
 
Answer & Explanation Answer: A) 4200

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Exam Prep: AIEEE , Bank Exams , CAT

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Q:

The zeros of the cubic polynomial 2x3-x2-2x+1 are a, b and c respectively. Find a+b+c :

A) -1 B) 2
C) 1 D) none
 
Answer & Explanation Answer: D) none

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Exam Prep: AIEEE , Bank Exams , CAT

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Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

I. 2x2-13x-189=0 II. 2y2-3y-189=0

A) x>y B)  x≥y
C)  x<y D) x≤y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Q:

If sec 300° = x, then value of x is

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

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Q:

If Tan θ = 9/40, then Sec θ = ?

A) 40/41 B) 9/41
C) 41/40 D) 41/9
 
Answer & Explanation Answer: C) 41/40

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Q:

A boat goes a certain distance at 40 km/hr and comes back the same distance at 24 km/hr. What is the average speed (in km/hr) for the total journey?

A) 32 B) 28
C) 34 D) 30
 
Answer & Explanation Answer: D) 30

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Q:

In a class of 50 students there are 22 girls who scored an average of 35 marks in the test. What is the average marks of the boys if the class average is 42 marks?

A) 50 B) 52.5
C) 47.5 D) 55
 
Answer & Explanation Answer: C) 47.5

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