Aptitude and Reasoning Questions

Q:

A seller charges 28% more from a customer as GST on an article. If customer paid Rs. 4544, what is the cost price of the article?

A) Rs. 3550 B) Rs. 2650
C) Rs. 3840 D) Rs. 2450
 
Answer & Explanation Answer: A) Rs. 3550

Explanation:

Let the cost price of the article be 'P'

Then from given data,

P + 28P100 = 4544=> 128P = 454400=> P = 3550

Hence, the cost price of the article = P = Rs. 3550

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Filed Under: Percentage
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Q:

It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 

A) 1/7 min B) 7/2 min
C) 5/7 min D) 7/5 min
 
Answer & Explanation Answer: B) 7/2 min

Explanation:

Time taken to fill 2/7 = 1
Then to fill full 1 = ?
? = 1/(2/7) = 7/2 minutes.

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Filed Under: Time and Work
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Q:

36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: A) 5

Explanation:

The following arrangements satisfy all 3 conditions.

Arrangement 1: 3 books in a row; 12 rows.

Arrangement 2: 4 books in a row; 9 rows.
Arrangement 3: 6 books in a row; 6 rows.
Arrangement 4: 9 books in a row; 4 rows.
Arrangement 5: 12 books in a row; 3 rows.

 

Therefore, the possible arrangements are 5.

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Filed Under: Permutations and Combinations
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Q:

A group of five persons is formed from five boys and four girls. Find the probability that there are at least two girls in the group?

A) 110/129 B) 5/6
C) 121/126 D) 3/7
 
Answer & Explanation Answer: A) 110/129

Explanation:

Total number of possible ways = 

9C5 = 9 x 8 x 7 x 6 x 55 x 4 x 3 x 2 x 1 = 126

Number of favorable cases = 

4C2 x 5C3 + 4C3 x 5C2 + 4C4 x 5C14 x 32 x 1 x 5 x 4 x 33 x 2 x 1 + 4 x 3 x 23 x 2 x 1 x 5 x 4 2 x 1 + 1 x 5= 6 x 10 + 4 x 10 + 5= 60 + 40 + 5= 105

 

Therefore, required probability = 105/126 = 5/6

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Filed Under: Probability
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Q:

In a certain code language, “book is tough” is written as “fu la mi”, “tough can easy” is written as “fu muk po” and “easy not book” is written as “ti po la”. What is the code for “tough” in that code language?

A) mi B) po
C) la D) fu
 
Answer & Explanation Answer: D) fu

Explanation:
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Filed Under: Coding and Decoding
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Q:

If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L  ?

A) J x J = KL B) K x K= JL
C) L x L = JK D) JKL = 1
 
Answer & Explanation Answer: B) K x K= JL

Explanation:

Let the Time be 'N' and Rate be 'R' 

J = (K x NR)/100 K = (L x NR)/100 

J/K = NR/100 K/L = NR/100 

J/K = K/L 

K x K = JL

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Filed Under: Simple Interest
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Q:

You are returning home from school. On the way, you find a sealed envelope in a street, fully addressed with unused stamps on it You would :

A) leave it there as it was and walk away B) remove the stamps and destroy the envelope.
C) open the envelope, find out who has dropped it by mistake, and send it to him if possible. D) post it at the nearest letter box.
 
Answer & Explanation Answer: D) post it at the nearest letter box.

Explanation:

 

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Q:

Mr. Shankar spends 25% of his monthly salary on household expenditure, 20% of the remaining on children’s education, and the remaining is equally invested in three different schemes. If the amount invested in each scheme is Rs.5600, what is the monthly salary of Shankar ?

A) Rs. 34000 B) Rs. 31245
C) Rs. 24315 D) Rs. 28000
 
Answer & Explanation Answer: D) Rs. 28000

Explanation:

Let the monthly salary of Shankar be = Rs.x
Amount invested on expenditure = 25% = x/4;
Remaning amount = 3x/4;
Amount invested on children education = 20% i.e = 3x/20;
Remaining amount = 3x/4 - 3x/20 = 3x/5;
Remaining amount invested in three different schemes i.e is 1/3(3x/5)
=> x/5 = 5600
Therefore x = 28000
Hence, Monthly salary of Shankar is Rs. 28,000.

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Filed Under: Stocks and Shares
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