Aptitude and Reasoning Questions

Q:

There are 26 balls marked with alphabetical order A to Z. What is the probability of selecting vowels listed balls? 

A) 1 B) 21/26
C) 5/26 D) 5
 
Answer & Explanation Answer: C) 5/26

Explanation:

We know that,

Total number of balls n(S) = 26

Number of vowels n(E) = 5

Hence, required probability = n(E)/n(S) = 5/26.

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Filed Under: Probability
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Q:

Physiology :Biology :: Metaphysics : ?

A) Physics B) Statistics
C) Mathematics D) Philosophy
 
Answer & Explanation Answer: D) Philosophy

Explanation:

Physiology is a branch of biology. Similarly, mathematics is a branch of philosophy.

 

Hence, Physiology : Biology :: Metaphysics : Philosophy.

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Filed Under: Analogy
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Q:

Which of the following could not be the lengths of the sides of a right angled triangle?

A) 3, 4, 5 B) 5, 12, 13
C) 8, 15, 17 D) 12, 15, 18
 
Answer & Explanation Answer: D) 12, 15, 18

Explanation:

Using Pythagoras theorem we can see that 122 + 152 is not equal to 182
Neither is 102 + 242 = 252

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Filed Under: Ratios and Proportions
Exam Prep: GRE

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Q:

The value of log55log49log32 is :

A) 1 B) 3/2
C) 2 D) 5
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Logarithms

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Q:

How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ?

A) 9216 B) 10246
C) 12345 D) 7527
 
Answer & Explanation Answer: A) 9216

Explanation:

It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.

That is 9,216 of those squares.

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Filed Under: Volume and Surface Area
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Q:

A car runs at the speed of 50 kms per hour when not serviced and runs at 60 km./hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced?

A) 8.2 hrs B) 6.5 hrs
C) 8 hrs D) 7.2 hrs
 
Answer & Explanation Answer: D) 7.2 hrs

Explanation:

After servicing, the distance covered by car in 6 hours = 60 * 6 = 360 km Without servicing, speed of car = 50 kmph => Required time = Distance/speed = 360/50 = 7.2 hrs.

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Filed Under: Time and Distance

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Q:

Which of the Phrases(1), (2), (3) and (4) given below each sentence should replace the phrases printed in bold in the sentence to make it grammatically correct.

The ban is applied by the district’s commercial taxes department after protests by a community, which had threat to burn theatres screening the controversial movie.

A) had threated to burn B) had threatened to burn
C) had threatened to burning D) had threats of burning
 
Answer & Explanation Answer: B) had threatened to burn

Explanation:
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Filed Under: Alphabet Test
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Q:

How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.

A) 64 B) 63
C) 62 D) 60
 
Answer & Explanation Answer: B) 63

Explanation:

Given digits are 0, 4, 2, 6

Required 4 digit number should be greater than 6000.

So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.

This can be done by

1x4x4x4 = 64

Greater than 6000 means 6000 should not be there.

Hence, 64 - 1 = 63.

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Filed Under: Permutations and Combinations
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