Aptitude and Reasoning Questions

Q:

A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is pluggeed.

If there is a lekage also which is capable of draining out the liquid from the tank at half of the  rate of outet pipe,them what is the time taken to fill the emty tank when both the pipes are opened?

A) 3 hours B) 4 hours
C) 5 hours D) None of these
 
Answer & Explanation Answer: B) 4 hours

Explanation:

Rate of leakage = 8.33% per hour

Net efficiency = 50 - (16.66 + 8.33)= 25%

Time required = 100/25 = 4 hours

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Filed Under: Time and Work

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Q:

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

Assertion(A) :  A little gap is left between iron rails. 

Reason (R)   :  Iron expands in summer. 

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:

Iron expands in summer. So, gaps are left between rails to allow for expansion. 

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Filed Under: Assertion and Reason

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Q:

In a G - 20 meeting there were total 20 people representing their own country. All the representative sat around a circular table. Find the number of ways in which we can arrange them around a circular table so that there is exactly one person between two representatives namely Manmohan and Musharraf.

A) 2 x (17!) B) 2 x (18!)
C) (3!) x (18!) D) (17!)
 
Answer & Explanation Answer: B) 2 x (18!)

Explanation:

A person can be chosen out of 18 people in 18 ways to be seated between Musharraf and Manmohan. Now consider Musharraf, Manmohan, and the third person, sitting between them, as a single personality, we can arrange them in 17! ways but Musharraf and Manmohan can also be arranged in 2 ways. 

 

Required number of permutations = 18 x (17!) x 2 = 2 x 18!

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Filed Under: Permutations and Combinations
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2 11686
Q:

Ice is to water as rock is to

A) Lava B) Oil
C) Sand D) Mud
 
Answer & Explanation Answer: A) Lava

Explanation:

When ice melts it changes its physical state to water. Similarly, when rock melts it changes into lava or magma.

 

Hence, ice is to water as rock is to lava.

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Filed Under: Analogy
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8 11677
Q:

In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement ?

A) 8% excess B) 9% deficit
C) 12% excess D) 11% deficit
 
Answer & Explanation Answer: A) 8% excess

Explanation:

Since  Area of Rectangle = side1 x side2
Therefore, error% in area
= x + y + xy100 %
= [20 - 10 + ( -10 x 20)/100]% or 8%
i.e. 8% excess.

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Filed Under: Percentage
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Q:

Find x if 

log1218 = log24x + 1. log24x+1 + 4

A) 0 B) 1
C) 2 D) None of these
 
Answer & Explanation Answer: A) 0

Explanation:

By trial and error method, when we substitute 

x = 0

Both LHS and RHS are equal.

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Filed Under: Logarithms
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Q:

If LBAEHC is the code for BLEACH then which of the following is coded as NBOLZKMH?

A) OBNKZLHM B) LOBNHMKZ
C) OCPMALNI D) BNLOKZHM
 
Answer & Explanation Answer: D) BNLOKZHM

Explanation:

The word if formed into pairs of letters and the letters in each pair are reversed

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Filed Under: Coding and Decoding

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Q:

Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is:

A) Rs. 4250 B) Rs. 4520
C) Rs. 4060 D) None of these
 
Answer & Explanation Answer: A) Rs. 4250

Explanation:

Amithab's total expenditure for Jan - June  = 4200 x 6 = 25200

 

Expenditure for Feb - June = 25200-1200 = 24000

 

Expenditure for the months of Feb - July = 24000 + 1500 =25500

 

The average expenditure = 25500/6 = 4250

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Filed Under: Average

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