Aptitude and Reasoning Questions

Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24% B) 29%
C) 34% D) 25%
 
Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Filed Under: Percentage
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Q:

What is the price range of ordinary wall clocks ? 

I. The price range of ordinary wrist watches of company X is Rs 400 to Rs 600. 

II. The price range of ordinary wall clocks of company X is 50 percent that of their ordinary watches. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are sufficient to answer the question

Explanation:

From both the statements together, we can conclude that the price range of ordinary wall clocks is Rs 200 to Rs 300. Thus, both I and II are required 

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Filed Under: Data Sufficiency

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Q:

Third proportion of 10 and 20 is

A) 30 B) 40
C) 25 D) 20
 
Answer & Explanation Answer: B) 40

Explanation:

The third proportional of two numbers p and q is defined to be that number r such that

p : q = q : r.

 

Here, required third proportional of 10 & 20, and let it be 'a'

=> 10 : 20 = 20 : a

10a = 20 x 20

=> a = 40

 

Hence, third proportional of 10 & 20 is 40.

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Filed Under: Average
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Q:

In a certain code language, "Tom Kun Sud" means "Dogs are barking" , "Kun Jo Mop" means "Dogs and horse" and "Mut Tom Ko" means "Donkeys are mad". Which word in that language means "barking"?

A) Sud B) kun
C) Jo D) Mop
 
Answer & Explanation Answer: A) Sud

Explanation:

In the first and second sentences common word is Dogs and common code is Kun. In the first and third sentences common word is are and common code is Tom. Therefore Sud = baking

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Filed Under: Coding and Decoding

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Q:

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is  ?

A) 1 : 2 B) 3 : 1
C) 4 : 7 D) 3 : 2
 
Answer & Explanation Answer: D) 3 : 2

Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27 x meters, and

length of the second train = 17 y meters.

(27 x + 17 y) / (x + y) = 23

=> 27 x + 17 y = 23 x + 23 y

=> 4 x = 6 y

=> x/y = 3/2.

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Filed Under: Problems on Trains
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Q:

Arjun and Bhishma are running on a circular track of length 600m. Speed of Arjun is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?

Answer

SolTime = Circumference Relative Speed = 60010 = 60 sec.


 


Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.


 


Since , they make  a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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Q:

 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A) 16 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: A) 16

Explanation:

Let the required number of bottles be x.

 

More weavers, More mats (Direct Proportion)

 

More days, More mats (Direct Proportion)

 

 

weavers  4:8} :4:xdays        4:8}:4:x 

4 x 4 x x = 8 x 8 x 4

 

=> x = 8*8*44*4

 

=> x = 16.

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Filed Under: Chain Rule

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Q:

What is the median of the following list of numbers

 

55, 53, 56, 59, 61, 69, and 31 ?

A) 55 B) 56
C) 59 D) 61
 
Answer & Explanation Answer: B) 56

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

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