Aptitude and Reasoning Questions

Q:

Pavan and Sravan are two persons. If Pavan works with his actual efficiency and Sravan twice of his actual efficiency then it takes 25 days to complete the work. But If Pavan works twice of his actual efficiency and Sravan with his normal efficiency then the work is completed in 20 days. How many days would it take if Sravan alone works with his actual efficiency (in Days)?

A) 50 B) 100
C) 70 D) 35
 
Answer & Explanation Answer: B) 100

Explanation:

Let the Efficiency of pavan be E(P)

Let the Efficiency of sravan be E(S)

Here Work W = LCM(25,20) = 100

Now, E(P+2S) = 100/25 = 4 ....(1)

E(2P+S) = 100/20 = 5 ....(2)

Hence, from (1) & (2) we get

E(S) = 1

=> Number of days Savan alone work to complete the work  = 100/1 = 100 days.

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Filed Under: Time and Work
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Q:

The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

A) 42.2 mts B) 33.45 mts
C) 66.6 mts D) 58.78 mts
 
Answer & Explanation Answer: C) 66.6 mts

Explanation:

ht1488353450.jpg image

From above diagram
AC represents the hill and DE represents the tower

Given that AC = 100 m

angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)

Let DE = h

Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE

tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1)

tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)
∵ BD = CE and Substitute the value of CE from equation 1
100/√3 = 100−h(√3) => h = 66.66 mts

The height of the tower = 66.66 mts.

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Filed Under: Height and Distance
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Q:

Read the following information and answer the following questions below.

 

Bindu is standing exactly in the middle of a line of girls. Asha is 6th to the left of Bindu and Ritu is 16th to Bindu's right.

 

What is Asha's position in the line ?

 

 

A) 22 B) 12
C) 18 D) 11
 
Answer & Explanation Answer: D) 11

Explanation:
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Filed Under: Arithmetical Reasoning
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Q:

Read the statements and select a conclusion from the given alternatives.


Statement : Some mats are brooms. All the pencils are brooms.

 

Conclusion :

 

I. Some brooms are pearls.

II. Some brooms are mats.

 

A) Only I conclusion follows B) Only II conclusion follows
C) Either I or II follows D) Neither I nor II follows
 
Answer & Explanation Answer: B) Only II conclusion follows

Explanation:
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Filed Under: Statement and Conclusions
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Q:

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

A) Rs. 5000 B) Rs. 6200
C) Rs. 8100 D) R. 7600
 
Answer & Explanation Answer: A) Rs. 5000

Explanation:

Let the amount invested by saketh = RS. p

Now, that of sandeep = 20,000 x 6

saketh = 12 x p

Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)

=> 12000012p = 60003000 => p= Rs. 5000

Hence, the amount investe by saketh  = Rs. p  = Rs. 5000.

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Q:

An assertion (A) and a Reason (R) are given below.

 

Assertion (A) : The Indian Constitution came into force with effect from 26th January 1950.

 

Reason (R) : 26th January is celebrated as the Republic day.

 

A) A is true but R is false B) A is false but R is true
C) Both A and R are false D) Both A and R are true but R is not the correct explanation of A
 
Answer & Explanation Answer: D) Both A and R are true but R is not the correct explanation of A

Explanation:
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Filed Under: Statement and Conclusions
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Q:

Kamal consistently runs 240 meters a day and on Saturday he runs for 400 meters. How many kilometers will he have to run in four weeks ?

A) 5.75 kms B) 7.36 kms
C) 8.2 kms D) 6.98 kms
 
Answer & Explanation Answer: B) 7.36 kms

Explanation:

Total running distance in four weeks = (24 x 240) + (4 x 400)

= 5760 + 1600

= 7360 meters

= 7360/1000

=> 7.36 kms

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Filed Under: Time and Distance
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Q:

In the following question, select the missing number from the given series.

 

23, 29, 24, 30, 25, ?

 

A) 30 B) 31
C) 26 D) 28
 
Answer & Explanation Answer: B) 31

Explanation:
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Filed Under: Number Series
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