Aptitude and Reasoning Questions

Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 17296 B) 13296
C) 19296 D) 15296
 
Answer & Explanation Answer: C) 19296

Explanation:

i=j/m

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Q:

The difference between the interests earned when Rs. P is invested for four years in a scheme offering 9% p.a. Simple interest and when the same sum (Rs P) is invested for two years in another scheme offering 12% p.a. simple interest, is Rs 480. What is the value of P?

A) 2000 B) 3500
C) 2500 D) 4000
 
Answer & Explanation Answer: D) 4000

Explanation:

p=(p*4*9)/100-(p*2*12)/100 = 480

=12p/100=480

p=4000

 

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Q:

Sravan drove from home to a neighboring town at the speed of 50 km/h and on his returning journey, he drove at the speed of 45 km/h and also took an hour longer to reach home. What distance did he cover?

A) 350 kms B) 450 kms
C) 900 kms D) 700 kms
 
Answer & Explanation Answer: C) 900 kms

Explanation:

Let the distance he covered each way = d kms

According to the question,

d/45 - d/50 = 1

=> d = 450 kms.

 

Hence, the total distance he covered in his way = d + d = 2 d = 2 x 450 = 900 kms.

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Q:

How many such pairs of letters are there in the word ORDINAL each of which has as many letters between them in the word as in the English alphabet?

A) None B) One
C) Two D) Three
 
Answer & Explanation Answer: D) Three

Explanation:
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Q:

An amount of $255 was invested at 8.5% p.a. How long will it take, to the nearest year, to earn $86.70 in interest?

A) 2years B) 3years
C) 4years D) 5years
 
Answer & Explanation Answer: C) 4years

Explanation:

T = (100 x I)/ (P x r)

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Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24 B) 38 & 26
C) 36 & 24 D) 44 & 28
 
Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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Q:

The total of the ages of Ashok, Akbar and Anil is 65 years. What was the total of their ages six years ago ?

A) 59 B) 43
C) 57 D) 47
 
Answer & Explanation Answer: D) 47

Explanation:

Let their ages be x, y, z
Hence given that x + y + z = 65
Now, six years ago x age is x - 6, y is y - 6 and that of z is z - 6
Then the sum of their ages six years ago is (x + y + z) - (6 + 6 + 6) = 65 - 18 = 47

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Q:

An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded every six months?

A) 7401.22 B) 3456
C) 4567 D) 7890
 
Answer & Explanation Answer: A) 7401.22

Explanation:

With slight modifications, the basic formula can be made to deal with compounding at intervals other than annually.

 

Since the compounding is done at six-monthly intervals, 4 per cent (half of 8 per cent) will be added to the value on each occasion.

 

Hence we use r = 0.04. Further, there will be ten additions of interest during the five years, and so n = 10. The formula now gives:

 

V = P(1 + r)10 = 5,000 x (1.04)10 = 7,401.22

 

Thus the value in this instance will be £7,401.22.

 

In a case such as this, the 8 per cent is called a nominal annual

 

rate, and we are actually referring to 4 per cent per six months.

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