Aptitude and Reasoning Questions

Q:

Main street high school has 10 members on its football team and 14 members on its science club. 5 members at the school belong to both the football and science teams. How many students belong to only science club team or football team?

A) 9 B) 14
C) 24 D) 21
 
Answer & Explanation Answer: A) 9

Explanation:

Given that,

Members in football team = n(f) = 10

Members in science club = n(s) = 14

Members in both football team and science club = n(f ^ s) = 5

 

Then, Members in only football team = n(F) = 10 - 5 = 5

Members in only science team = n(S) = 14 - 5 = 9

football_science_teams1533013879.jpg image

 

Hence, members in only football or science team = n(FUS) = n(F) + n(S) - n(f^s) 

= 9 + 5 - 5

= 9.

 

Hence, many students belong to only science club team or football team = 9.

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Q:

Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?

A) 36 kmph B) 35 kmph
C) 72 kmph D) 70 kmph
 
Answer & Explanation Answer: D) 70 kmph

Explanation:

By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.

By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.

By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.

So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.

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Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion(A) :  The steam engine was invented by James Watt. 

Reason (R)   :  There was a problem of taking out water from flooded mines

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: A) Both A and R are true and R is the correct explanation of A.

Explanation:

The problem of pumping out water from the flooded mines provided the need of a self working engine, which led James Watt to invent the same. 

 

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Q:

Identify the diagram that best represents the relationship among the given classes.

 

Girl, Singer, Politician

 

 

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

Explanation:
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Q:

Identify the figure that completes the pattern.

    (X)                  (1)              (2)              (3)              (4)

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

Explanation:

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Q:

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then :

A) x = y + z B) 2x = y + z
C) 3x = 2y - 2z D) none of these
 
Answer & Explanation Answer: B) 2x = y + z

Explanation:

Clearly, we  have : x = (3y + 3z ) / 6 or 2x = y + z.

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Q:

40% of 265 + 35% of 180 = 50% of ?

A) 383 B) 338
C) 84.5 D) 253.5
 
Answer & Explanation Answer: B) 338

Explanation:

We know that 40% = 25

 

40% of 265 + 35% of 180 = 50% ?

 

25 x 265 + 35% of 180 = 50% ?

 

We know that (35% of 180 = 180% of 35) & 180% = 95

 

25 x 265 + 95 x 35 = 50% ?

 

106 + 63 = 50% ?

 

?= 2 x 169 = 338.

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Q:

Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

A) 7 months B) 8 months
C) 3 months D) 4 months
 
Answer & Explanation Answer: D) 4 months

Explanation:

we can assume that Amar join into business after x months. So Amar money was invest into  (12 – x ) months.

 

76000×1257000×(12-x)=21

 

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4


After 4 months amar join the business.

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