Aptitude and Reasoning Questions

Q:

D and E are the points on the sides AB and AC respectively of a ΔABC and AD = 8 cm, DB = 12 cm, AE= 6 cm and EC = 9 cm, then BC is equal to:

A) 2/5 DE B) 5/2 DE
C) 3/2 DE D) 2/3 DE
 
Answer & Explanation Answer: B) 5/2 DE

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Filed Under: Simplification
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Q:

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statement:

1. All elephants are men.
2. All men are socks.

Conclusion I: Some socks are elephants.
Conclusion II: All elephants are socks.

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

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Filed Under: Statement and Conclusions
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Q:

(secA - 1)/(secA + 1) is equal to?

A) (1 - sinA)/(1 + sinA) B) (1 + cosA)/(1 - cosA)
C) (1 + sinA)/(1 - sinA) D) (1 - cosA)/(1 + cosA)
 
Answer & Explanation Answer: D) (1 - cosA)/(1 + cosA)

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Q:

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) All young scientists are open-minded.
(II) No open-minded men are superstitious.

Conclusions:
(I) No scientist is superstitious.
(II) No young people are superstitious.

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

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Filed Under: Statement and Conclusions
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Q:

All rational numbers are ____ numbers.

A) integer B) whole
C) irrational D) real
 
Answer & Explanation Answer: D) real

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Filed Under: Numbers
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Q:

If X2+4y2+z2-4x-2z+5-0, then find the value of y15+x5z14

A) 32 B) 46
C) 58 D) 60
 
Answer & Explanation Answer: A) 32

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Q:

A sum of Rs 20000 becomes Rs 32000 in 12 years, when invested in a scheme of simple interest. If the same sum is invested in a scheme of compound interest with same yearly interest rate (compounding of interest is done yearly), then what will be the amount (in Rs) after 2 years?

 

A) 21750 B) 22050
C) 23250 D) 24650
 
Answer & Explanation Answer: B) 22050

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Filed Under: Compound Interest
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Q:

In a triangle ABC, the length of in-radius and circum-radius is 2 units and 6 units respectively. Find the distance (in units) between the in-centre and circum-centre.

 

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

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