Aptitude and Reasoning Questions

Q:

If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?

A) 100 π B) 101/π
C) 99 π/12 D) 54/13π
 
Answer & Explanation Answer: A) 100 π

Explanation:

4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x r
r = 5
4π x 5 x 5 = 100π

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Filed Under: Volume and Surface Area
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17 11057
Q:

Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ?

A) 6.5% B) 6%
C) 5% D) 4.5%
 
Answer & Explanation Answer: C) 5%

Explanation:

C.I = P1+r100t-1

 

594.5 = 58001+r1002-1

 594.55800+1=1+r1002

 

r100=1.05-1=0.05=> r = 5 % .

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Filed Under: Compound Interest
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13 11054
Q:

Pigeon:Peace::White flag:?

A) Surrender B) War
C) Victory D) friendship
 
Answer & Explanation Answer: A) Surrender

Explanation:

Pigeon is a symbol of peace and white flag is a symbol of surrender.

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Filed Under: Analogy
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18 11051
Q:

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of Interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

A) 3.6 B) 6
C) 18 D) cannot be determined
 
Answer & Explanation Answer: B) 6

Explanation:

Let rate = R% and time = R years.

 

Then, 1200×R×R100=432

 12R2=432

 

=> R = 6.

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Filed Under: Simple Interest
Exam Prep: GRE
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6 11029
Q:

Identify the diagram that best represents the relationship among classes given below:

Universe,Stars,Sun

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

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

2 11025
Q:

In a certain code, '289' means 'read from paper'; '276' means 'tea from field' and '85' means 'wall paper'. Which of the following is the code for 'paper' ?

A) 2 B) 8
C) 9 D) Can't be determined
 
Answer & Explanation Answer: B) 8

Explanation:

Justification:      

In the first and second statements, the common digit is '2' and the common word is 'from'.

So, '2' is the code for 'from'.

In the first and third statements, the common  code digit is '8' and the common word is 'paper'.

So, '8' is the code for 'paper'.

As shown above, '8' is the code for 'paper'.

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Filed Under: Coding and Decoding

48 11021
Q:

If it is possible to form a number which is a perfect square of a two digit odd number using the second, fourth, seventh digits of the number 739142658 using each only once, which of the following is the second digit of that two-digit odd number?

A) 4 B) 7
C) 3 D) none
 
Answer & Explanation Answer: D) none

Explanation:

The 2nd, 4th, 7th digits are 3, 1, 6 respectively.

 

The perfect square of a two-digit odd number, formed using these digits, is 361

 

and 361 = 19^2

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29 11011
Q:

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?

A) 15 B) 20
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

Explanation:

Let the price of each note book be Rs.x.

Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.

Hence xy = 300

=> y = 300/x

(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy

=>5(300/x) - 10x - 50 = 0 => -150+x2+5x

multiplying both sides by -1/10x

=> x2+15x-10x-150=0

=> x(x + 15) - 10(x + 15) = 0

=> x = 10 or -15

As x>0, x = 10.

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Filed Under: Simplification
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9 11008