Aptitude and Reasoning Questions

Q:

A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ?

A) 3 B) 6
C) 9 D) 12
 
Answer & Explanation Answer: C) 9

Explanation:

The mother completes the job in x hours.
So, the daughter will take 2x hours to complete the same job.

 

In an hour, the mother will complete 1/x of the total job.
In an hour, the daughter will complete 1/2x of the total job.

 

So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.
i.e., in an hour they will complete 3/2x of the job.

 

The question states that they complete the entire task in 6 hours if they work together.
i.e., they complete 1/6 th of the task in an hour.

 

Equating the two information, we get 3/2x = 1/6
By solving for x, we get 2x = 18 or x = 9.

 

The mother takes 9 hours to complete the job.

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Filed Under: Time and Work
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Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48 B) 52
C) 38 D) 42
 
Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = 800x1860x5= 48 sec.

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Filed Under: Time and Distance
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Q:

Which statement best compares a line and a point?

A) A point has no dimension and a line has one dimension. B) A line can have line segments on it whereas a point cannot be on any line segment.
C) point is a location whereas a line has several planes located on it D) A line can lie on a plane whereas a point cannot lie on a plane.
 
Answer & Explanation Answer: A) A point has no dimension and a line has one dimension.

Explanation:

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

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Filed Under: Arithmetical Reasoning
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Q:

60 percent of 2/7 of three-fourth of a number is 2664. What is the number ?

A) 20720 B) 21352
C) 25421 D) 24150
 
Answer & Explanation Answer: A) 20720

Explanation:

Let N be the required number. 

=> 60100x27x34xN=2664  

=> N = 2664x2x7x5/9  

=> N = 20720.

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Filed Under: Percentage
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10 5155
Q:

 It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

A) Sunday B) Saturday
C) Friday D) Wednesday
 
Answer & Explanation Answer: C) Friday

Explanation:

On 31st December, 2005 it was Saturday.

 

 

 

Number of Odd days from the year 2006 to the year 2009 = (1+1+2+1)=5 days.

 

 

 

 On 31st december 2009, It was Thursday

 

 

 

Thus, on 1st Jan, 2010 it is Friday.

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Filed Under: Calendar

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Q:

Find the effective rate of interest for an investment that earns 5 1/2% per year, compounded continuously

A) 5.65% B) 5.75%
C) 5.85% D) 5.95%
 
Answer & Explanation Answer: A) 5.65%

Explanation:

We are not given a value of P in this problem, so either pick a value

for P and stick with that throughout the problem, or just let P = P.

We have that t = 1, and r = .055. To find the effective rate of interest,

first find out how much money we have after one year:

A = Pert

A = Pe(.055)(1)

A = 1.056541P.

Therefore, after 1 year, whatever the principal was, we now have 1.056541P.

Next, find out how much interest was earned, I, by subtracting the initial amount of money from the final amount:

I = A − P

  = 1.056541P − P

  = .056541P.

Finally, to find the effective rate of interest, use the simple interest formula, I = Prt. So,

I = Pr(1) = .056541P

.056541 = r.

Therefore, the effective rate of interest is 5.65%

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Filed Under: Compound Interest
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1 5152
Q:

Sreya bought a plot for Rs. 6,00,000,  then sold half of the plot at 10 % profit and rest at 15% profit. What is the total profit % that Sreya gain? 

A) 13.8 % B) 11.4 %
C) 12.5 % D) 14.5 %
 
Answer & Explanation Answer: C) 12.5 %

Explanation:

10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000

15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000

Now, total profit = 30000 + 45000 = 75000

Profit % = 75000/600000 x 100 = 12.5 %

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Filed Under: Profit and Loss
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Q:

A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not mother of Q. P and R are a married couple. Y is the brother of R. X is the daughter of P. Z is the brother of P. How is Q related to X? 

A) Husband B) Father
C) Brother D) Uncle
 
Answer & Explanation Answer: C) Brother

Explanation:

Q is the son of R but R is not the mother. So, R is the Father of Q. P is married to R 

So, P is the wife of R and the mother of Q, X is the daughter of P and hence of R and so she is the Sister of Q, Y is the brother of R and Z is the brother of P. 

X is the sister of Q who is a male. So, Q is brother of X. 

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Filed Under: Blood Relations

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