Aptitude and Reasoning Questions

Q:

Variance of the data 2, 4, 5, 6, 8, 17 is 23.33. Then the variance of 4, 8, 10, 12, 16, 34 will be

 

A) 11.66 B) 46.66
C) 93.3333 D) 4.83
 
Answer & Explanation Answer: C) 93.3333

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

5 18791
Q:

The number of ways in which 8 distinct toys can be distributed among 5 children?

A) 5P8 B) 5^8
C) 8P5 D) 8^5
 
Answer & Explanation Answer: B) 5^8

Explanation:

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.

 

Hence, it is 58 and not 85.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

16 18789
Q:

How many different words can be made using the letters of the word ' HALLUCINATION ' if all constants are together?

A) 129780 B) 1587600
C) 35600 D) None of these
 
Answer & Explanation Answer: B) 1587600

Explanation:

 H   L   C   N    T    A   U   I   O

 

      L        N          A        I

 

There are total 131 letters out of which 7 are consonants and 6 are vowels. Also ther are 2L's , 2N's, 2A's and 2I's.

 

If all the consonants  are together then the numberof arrangements = 7!2!x 1/2! .

But the 7 consonants  can be arranged themselves in  7!2! x 1/2! ways. 

 

Hence the required number of ways = 7!2!2!2 = 1587600

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

8 18772
Q:

How many times are the hands of a clock at right angle in a day?

A) 44 B) 54
C) 64 D) 22
 
Answer & Explanation Answer: A) 44

Explanation:

In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

32 18770
Q:

According to the given Venn diagram, the total number of non-athletic and disciplined boys is ___.

 

 

 

A) 1 B) 28
C) 20 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:
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Filed Under: Analytical Reasoning
Exam Prep: Bank Exams

1 18769
Q:

A motor boat takes 12 hours to go downstream and it takes 24 hours to return  the same distance. what is the time taken by  boat in still water?

A) 15 h B) 16 h
C) 8 h D) 20 h
 
Answer & Explanation Answer: B) 16 h

Explanation:

If t1 and t2 are the upstream and down stream times. Then time taken in still water is given by 

2×t1×t2t1+t2=2×12×2436=16h

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Filed Under: Boats and Streams

61 18757
Q:

How many independent words can 'HEARTLESS' be divided into without changing the order of the letters and using each letter only once ?  

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

Explanation:

The words are HE, ART and LESS.

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Filed Under: Alphabet Test

103 18752
Q:

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?

A) 69.5 km/hr B) 70 km/hr
C) 79 km/hr D) 79.2 km/hr
 
Answer & Explanation Answer: D) 79.2 km/hr

Explanation:

Let the length of the train be x metres and its speed by y m/sec.


Then, x/y = 8 => x = 8y


Now, (x+264)/20 = y
8y + 264 = 20y
y = 22.
Speed = 22 m/sec = (22*18/5) km/hr = 79.2 km/hr.

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Filed Under: Problems on Trains

61 18739