Aptitude and Reasoning Questions

Q:

From a bunch of flowers having 16 red roses and 14 white roses, four flowers have to be selected. In how many different ways can they be selected such that at least one red rose is selected?

A) 27405 B) 26584
C) 26585 D) 27404
 
Answer & Explanation Answer: D) 27404

Explanation:

Given total 16 Red roses and 14 White roses = 30 roses

 

Four flowers have to be selected from 30 i.e,  C430= 27405 Ways 

 

Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses)  = 27404 ways. 

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Filed Under: Permutations and Combinations
Exam Prep: CAT
Job Role: Bank Clerk

10 7737
Q:

What would be the least number of years in which the simple interest on Rs.2600 at % will be an exact number of rupees ?

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

Explanation:

 S.I=Rs.2600*203*1100*t

 S.I=Rs.5203*t

 t=3

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

6 7733
Q:

Statement : Let there be a signboard also indicating the directions and instructions.

Assumptions :
a) Signboard can be prepared without using any language.
b) Signboard is the only effective tool to indicate directions.

A) Both a and b are not sufficient B) Only a is sufficient
C) Only b is sufficient D) Both a and b are sufficient
 
Answer & Explanation Answer: A) Both a and b are not sufficient

Explanation:

The statement doesn't give any clue to the use of language. Hence a is not implicit.
b is also not implicit because in the sentence 'only' indicates false meaning.

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Filed Under: Statement and Assumptions
Exam Prep: AIEEE , Bank Exams , TOEFL
Job Role: Bank Clerk

3 7732
Q:

One third of a Number is 96. What will 67% of that Number be?

A) 192.96 B) 181.44
C) 169.92 D) 204.48
 
Answer & Explanation Answer: A) 192.96

Explanation:

Let the Number be x. 

Given that one third of a Number is 96. 

i.e x = 3 x 96 = 288.

 67% of  x = x×67100=288×67100=192.96

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3 7732
Q:

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ? 

A) 34 hrs B) 36 hrs
C) 38 hrs D) 40 hrs
 
Answer & Explanation Answer: D) 40 hrs

Explanation:

The time taken by the leak to empty the tank = 18 - 110 = 5 - 440 = 140

Therefore, the leak empties the tank in 40 hours.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

10 7731
Q:

A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot).

A) 17 B) 18
C) `19 D) 20
 
Answer & Explanation Answer: A) 17

Explanation:

The fence will consist of one more post than there are chains. (e.g. P-c-P-c-P).

Therefore, a total length has to be a multiple of the length of the chain plus one post (5.5) plus one post extra.We have length = (5.5n + 0.5), where n can be any positive whole number. If n= 3, length =17

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Filed Under: Numbers
Exam Prep: GRE

3 7726
Q:

 40 % of 250 = 50% ?

A) 200 B) 100
C) 150 D) 400
 
Answer & Explanation Answer: A) 200

Explanation:

As per given 

 

 40100×250 =50100×x

 

x=200

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
Job Role: Bank PO

6 7714
Q:

In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained ?

Answer

Let us first calculate the cost of price of the mixture. the selling price of the mixture is given as Rs.96 and the profit is given as 20%. So, Cost price = 100120×96 = Rs. 80


 


Now, let us apply allegation method :


 



 


= 40 : 20 =  2 : 1

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