Aptitude and Reasoning Questions

Q:

A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A) 2 : 1 B) 3 : 2
C) 25 : 18 D) 27 : 20
 
Answer & Explanation Answer: C) 25 : 18

Explanation:

ke

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Q:

Mohan was married 5 years ago. At present his age is 6/5 times of his age at the time of marriage. His wife is 3 year younger to him. Find his wife’s present age?

A) 21 yrs B) 24 yrs
C) 27 yrs D) 30 yrs
 
Answer & Explanation Answer: C) 27 yrs

Explanation:

Let Mohan present age = p

ATQ,

5/6 x p = p - 5

p = 30

His wifes age = 30 - 3 = 27 yrs.

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Filed Under: Problems on Ages
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Q:

The total number of prime factors in the expansion

Answer

 


2211 x 75 x 112=> 222 x 75 x 112


 Total number of prime factors is (22+5+2) = 29

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Rajitha has a calculator, which has 10 digits. She want to clean the calculator by removing all the keys and while reassembling it, she interchanged the locations of 3 pairs of keys. For example, if she placed the key ‘3’ in the place of the key ‘7’, she placed the key ‘7’ only in the place of the key ‘3’ and not any other key. All keys that were interchanged corresponded only to numbers. Later, she input some calculations and obtained outputs as provided in the table below. The input is shown in terms of the keys that Kavitapressed, while the output is the output displayed by the calculator.

Output:

1.   95 + 84=128
2.   128 + 64=195
3.   912 + 43=942
4.   178 + 19=192

Question :

Which of the following pair of digits is unchanged ?

A) 9, 0, 3 B) 1, 3, 8
C) 7, 0, 1 D) 2, 4, 1
 
Answer & Explanation Answer: C) 7, 0, 1

Explanation:
0 1 2 3 4 5 6 7 8 9
0 1 4 8 2 6 5 7 3 9

Here pairs interchanged are

2, 4 

3, 8

5, 6

Unchanged are 0, 1, 7, 9

 

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Filed Under: Arithmetical Reasoning
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Q:

What will be added to the unit digits of the number 86236 so that number will be divisible by 9  ?

A) 1 B) 2
C) 3 D) 0
 
Answer & Explanation Answer: B) 2

Explanation:

A number is divisible by 9 only if the sum of the digits of the number is divisible by 9.

Here 86236 = 8 + 6 + 2 + 3 + 6 = 25

We must add 2 to 25 to become 27 which is divisible by 9.

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Filed Under: Problems on Numbers
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Q:

I, J , K and L are all distinct individual. I is the daughter of J. J is the son of K and 'K' is the father of L. If B is the son of J and B has one brother, 'D'. Then which of the following statements is/ are true ?

I. I is the sister of D.

II. D and B are brother.

III. K is the grand father of D.

A) Only I B) I & II
C) Only III D) All of these
 
Answer & Explanation Answer: D) All of these

Explanation:

   K

   |

   J -- L

   |

   I -- D -- B

Here I is female

J, K, L & D , B are males

Then from the above conditions,

All of the given statements are true.

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Filed Under: Blood Relations
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Q:

Consider the argument and decide which of the given assumptions is/are implicit.

 

Argument :

Use of cell phone is strictly prohibited on the college premises.

 

Assumptions :

 

1. Students using phones on the college premises will be strictly punished.

2. No student is allowed to use a phone on college premises.

 

 

A) Only assumption 1 is implicit B) Only assumption 2 is implicit
C) Both 1 and 2 are implicit D) Neither 1 nor 2 is implicit
 
Answer & Explanation Answer: B) Only assumption 2 is implicit

Explanation:
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Filed Under: Statement and Assumptions
Exam Prep: Bank Exams

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Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23 B) 432
C) 22 D) 431
 
Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

 

C19+C18+C16 = 23 will be answer.

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Filed Under: Permutations and Combinations
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