Aptitude and Reasoning Questions

Q:

What is x squared plus x squared?

A) 4x B) 2x^2
C) x^4 D) 2x
 
Answer & Explanation Answer: B) 2x^2

Explanation:

In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms. 

Now x^2 + x^2 = 2x^2

 

Hence, x-squared plus x-squared is equal to 2 times x squared.

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Filed Under: Mathematical Operations
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Q:

Solve this inequality 3p - 16 < 20?

A) p >= 12 B) p <= 11/3
C) p < 12 D) p > 11/3
 
Answer & Explanation Answer: C) p < 12

Explanation:

The given inequality is 3p - 16 < 20

For solving this inequality, follow these steps

Now add 16 on both sides

we get 3p - 16 + 16 < 20 + 16

=> 3p  < 36

Now divide the above eqn with 3 on both sides

we get, 3p/3 < 36/3

p < 12.

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Filed Under: Simplification
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Q:

The Asian Development Bank has approved a $285 million loan to finance a project to construct coal ports by Paradip and Madras Port Trusts.

 

Courses of Action:

I. India should use financial assistance from other international financial organisations to develop such ports in other places.

II. India should not seek such financial assistance from the international financial agencies.

A) Only I follows B) Only II follows
C) Neither I nor II follows D) Both I and II follow
 
Answer & Explanation Answer: A) Only I follows

Explanation:

Clearly, such projects shall be an asset and a source of income to the country later on. So, course I shall follow.

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Q:

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

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

Explanation:

P(heart cards)=13/52

P(diamond cards)=13/52

P(heart or diamond)=13/52+13/52=1/2

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Filed Under: Probability

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Q:

One New York publisher has estimated that 50,000 to 60,000 people in the United States want an anthology that includes the complete works of William Shakespeare. And what accounts for this renewed interest in Shakespeare? As scholars point out, his psychological insights into both male and female characters are amazing even today.


This paragraph best supports the statement that
A. Shakespeare's characters are more interesting than fictional characters today.
B. people even today are interested in Shakespeare's work because of the characters.
C. academic scholars are putting together an anthology of Shakespeare's work.
D. New Yorkers have a renewed interested in the work of Shakespeare.
E. Shakespeare was a psychiatrist as well as a playwright.

A) A B) B
C) C D) D
 
Answer & Explanation Answer: B) B

Explanation:

The last sentence in the paragraph clearly gives support for the idea that the interest in Shakespeare is due to the development of his characters. Choice a is incorrect because the writer never makes this type of comparison. Choice c is wrong because even though scholars are mentioned in the paragraph, there is no indication that the scholars are compiling the anthology. Choice d is wrong because there is no support to show that most New Yorkers are interested in this work. There is no support for choice e either.

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Filed Under: Statement and Arguments
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Q:

The pictorial view of the frustum of a square pyramid is shown in figure 'x'. Its top view, when viewed in the direction of the arrow, will look like which of the given alternatives (a), (b), (c) and (d)?

A) a B) b
C) c D) d
 
Answer & Explanation Answer: B) b

Explanation:
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Filed Under: Image Analysis

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Q:

The compound interest accrued on an amount of Rs.25,500 at the end of three years is Rs.8,440.5. What would be the simple interest accrued on the same amount at the same rate in the same period?

A) Rs.4,650 B) Rs.5,650
C) Rs.6,650 D) Rs.7,650
 
Answer & Explanation Answer: D) Rs.7,650

Explanation:
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Filed Under: Verbal Reasoning - Mental Ability
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Q:

If a = 5 + 15 - 1 b = 5 - 15 + 1 then find the value of a2+ab+b2a2-ab+b2 is ::

A) 3/4 B) 4/3
C) 3/5 D) 5/3
 
Answer & Explanation Answer: B) 4/3

Explanation:

By simplifying, we get 4/3

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Filed Under: Square Roots and Cube Roots
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