Aptitude and Reasoning Questions

Q:

Identify the diagram that best represents the relationship among the given classes.

 

Food, Vegetables, Apples

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

Explanation:
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Filed Under: Logical Venn Diagram
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Q:

How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?

A) 3 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: B) 5

Explanation:

There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.

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Filed Under: Arithmetical Reasoning
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Q:

A fast moving superfast express crosses another pasenger train in 20 seconds. The speed of faster train is 72 km/hr and speeds of slower train is 27 km/h. Also the length of faster ntrain is 100m, then find the length of the slower train if they are moving in the same direction.

A) 100 m B) 125 m
C) 150 m D) 175 m
 
Answer & Explanation Answer: C) 150 m

Explanation:

Time=Sum of length of the two trainsDifference in speeds

20=(100+x)252 

 X=150m

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Filed Under: Logarithms

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Q:

Four of the following five are alike in a certain way and so form a group. which one does not belong to that group?

1. Metre   2. Furlong    3. Yard   4. Mile    5.Acre

Answer

Answer : (5)


Acre measurers area whereas others are distance measures.

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Subject: Classification

46 8100
Q:

How many number of times will the digit ‘7' be written when listing the integers from 1 to 1000?

A) 243 B) 300
C) 301 D) 290
 
Answer & Explanation Answer: B) 300

Explanation:

7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.

 

1. The numbers in which 7 occurs only once. e.g 7, 17, 78, 217, 743 etc

 

This means that 7 is one of the digits and the remaining two digits will be any of the other 9 digits (i.e 0 to 9 with the exception of 7)

 

You have 1*9*9 = 81 such numbers. However, 7 could appear as the first or the second or the third digit. Therefore, there will be 3*81 = 243 numbers (1-digit, 2-digits and 3- digits) in which 7 will appear only once.

 

In each of these numbers, 7 is written once. Therefore, 243 times.

 

 

2. The numbers in which 7 will appear twice. e.g 772 or 377 or 747 or 77

 

In these numbers, one of the digits is not 7 and it can be any of the 9 digits ( 0 to 9 with the exception of 7).

 

There will be 9 such numbers. However, this digit which is not 7 can appear in the first or second or the third place. So there are 3 * 9 = 27 such numbers.

 

In each of these 27 numbers, the digit 7 is written twice. Therefore, 7 is written 54 times.

 

 

3. The number in which 7 appears thrice - 777 - 1 number. 7 is written thrice in it.

 

Therefore, the total number of times the digit 7 is written between 1 and 999 is

 

243 + 54 + 3 = 300

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Q:

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ?

A) 15 B) 20
C) 5 D) 10
 
Answer & Explanation Answer: B) 20

Explanation:

Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.

 

So, there is one way of doing it.

 

Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.

 

The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

 

Required number of numbers = (1 x 5 x 4) = 20.

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Q:

A call center recruits candidates with the following criteria -

 

1. Candidates should have passed at least 10th standard.

2. Candidates must be fluent in English and Hindi.

3. Candidates must be ready to work in both day and night shifts.

 

Which candidate among the following will the call center definitely take?

 

A) Seeta is graduate, fluent in Marathi, Hindi and English and can work only in day shift. B) Sarita is fluent in English, Tamil and Hindi can work in both shifts and has had no formal education.
C) Smita speaks English and Hindi very well, is ready for day as well as night shifts and has studied till 12th standard. D) Savita can work in both shifts, has passed 10th standard with 65% and speaks fluent Hindi and Marati.
 
Answer & Explanation Answer: C) Smita speaks English and Hindi very well, is ready for day as well as night shifts and has studied till 12th standard.

Explanation:
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Filed Under: Logical Venn Diagram
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Q:

Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4?

A) 3/7 B) 7/11
C) 5/9 D) 6/13
 
Answer & Explanation Answer: C) 5/9

Explanation:

Here n(S) = 6 x 6 = 36

E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)}

=> n(E)=20

Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

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Filed Under: Probability
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