Aptitude and Reasoning Questions

Q:

A runs 123 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

A) 200 m B) 300m
C) 270m D) 160m
 
Answer & Explanation Answer: A) 200 m

Explanation:

Ratio of the speeds of A and B =5 : 1 = 5 :3

 

Thus, in race of 5 m, A gains 2 m over B.

 

2 m are gained by A in a race of 5 m.

 

80 m will be gained by A in race of 52*80 m =200m

 

=> Winning post is 200 m away from the starting point.

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Filed Under: Races and Games

27 14792
Q:

Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.

A) 2:9 B) 3:9
C) 1:9 D) 4:9
 
Answer & Explanation Answer: C) 1:9

Explanation:

Let their edges be a and b. Then,

 

a3/b3 = 1/27 (or) (a/b)3 = (1/3)3 (or) (a/b) = (1/3).

 

\Ratio of their surface area = 6a2/6b2 = a2/b2 = (a/b)2 = 1/9, i.e. 1:9.

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Q:

The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ?

A) 12.24 yrs B) 13.25 yrs
C) 16 yrs D) 15.25 yrs
 
Answer & Explanation Answer: D) 15.25 yrs

Explanation:

Total ages of 80 boys = 15 x 80 = 1200 yrs.
Total age of 16 boys = 15 x 16 = 240 yrs
Total age of 25 boys = 14 x 25 = 350 yrs.
Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

11 14772
Q:

Refer the below data table and answer the following question.

If the GDP of the country was $1 trillion at the end of 2013, what is it at the beginning of 2015?

 

A) $1.03 trillion B) $1.04 trillion
C) $0.93 trillion D) $1.07 trillion
 
Answer & Explanation Answer: B) $1.04 trillion

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

0 14768
Q:

The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

A) 8:3 B) 6:7
C) 7:5 D) 11:7
 
Answer & Explanation Answer: C) 7:5

Explanation:

Milk in 1-litre mixture of A = 4/7 litre. 

Milk in 1-litre mixture of B = 2/5 litre. 

Milk in 1-litre mixture of C = 1/2 litre.

 

By rule of alligation we have required ratio X:Y   

   X                  :                 Y  

  4/7                                2/5  

           \                      /

              (Mean ratio)
                   (1/2) 

           /                      \

 (1/2 – 2/5)     :       (4/7 – 1/2)  

    1/10                      1/1 4 

 

So Required ratio = X : Y = 1/10 : 1/14 = 7:5

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Filed Under: Alligation or Mixture
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO

24 14765
Q:

From the given words, select the word which cannot be formed using the letters of the given word.

SANCTION

A) STOIC B) TACOS
C) STONE D) SONIC
 
Answer & Explanation Answer: C) STONE

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

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Q:

Who is the father of M ? 

I. A and B are brothers. 

II. Ws wife is sister of M's wife. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

From II, we conclude that B is the brother-in law of M. So, even from both the statements, we can't find out who is the father of M 

 

 

 

 

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Filed Under: Data Sufficiency

5 14750
Q:

A junior college inducts students based on the following criteria -

 

1. Students who scored above 75% in physics, 85% in Mathematics and 70% in Chemistry.

2. Students who scored at least 60% in English.

3. Students who are good in a sport or play a musical instrument or know a dance form.

 

Which student among the following will the college definitely take?

 

 

A) Shakti with 80% in Physics, 65% in Chemistry, 85% in Mathematics, 61% in English and plays veena. B) Megha secured 80% in Physics, 87% in Mathematics, 70% in English, 75% in Chemistry and is a singer.
C) Sheela secured 78% in Physics, 70% in Chemistry, 85% in Mathematics, 75% in English knows Manipuri folk dance. D) Mallika secured 70% in Chemistry, 70% in Mathematics, 85% in Physics, 65% in English and plays basketball.
 
Answer & Explanation Answer: C) Sheela secured 78% in Physics, 70% in Chemistry, 85% in Mathematics, 75% in English knows Manipuri folk dance.

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

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