Aptitude and Reasoning Questions

Q:

An observer 1.6 m tall is 203away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A) 21.6 m B) 23.2 m
C) 24.72 m D) None of these
 
Answer & Explanation Answer: A) 21.6 m

Explanation:

 

 

 

 Draw BE // CD

 

Then, CE = AB = 1.6 m,

 

BE = AC =

 DEtan30=> DE = tan30 x 203=> DE = 13x203 = 20

 

Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.

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Filed Under: Height and Distance
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

A) 40cm B) 30cm
C) 20cm D) 10cm
 
Answer & Explanation Answer: A) 40cm

Explanation:

Let the breadth of the wall be x metres. 

Then, Height = 5x metres and Length = 40x metres.  

x * 5x * 40x = 12.8   

=>x3 =12.8/200 = 128/2000 =64/1000  

=> x = 4/10 m  

=> x = (4/10)*100 = 40 cm

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Q:

If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265

A) Rs. 750 B) Rs. 800
C) Rs. 850 D) Rs. 900
 
Answer & Explanation Answer: B) Rs. 800

Explanation:

Let the cost of Production = Rs. P

Then, as per question,

 

125100×115100×110100×P=1265

 

=> P=800

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Filed Under: Profit and Loss

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Q:

The ratio of the area of a square to that of the square drawn on its diagonal is

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

Explanation:

ratio = a22a2

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Filed Under: Area
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Job Role: Bank PO

75 25633
Q:

A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ?

A) 17 + 4/7 days B) 13 + 1/3 days
C) 15 + 3/2 days D) 16 days
 
Answer & Explanation Answer: B) 13 + 1/3 days

Explanation:

C alone can finish the work in 40 days.
As given C does half as much work as A and B together
=> (A + B) can do it in 20 days
(A + B)s 1 days wok = 1/20.
A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)
A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]
B's 1 days work = (1/20) x (2/3) = 1/30
(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40

All the three together will finish it in 40/3 = 13 and 1/3 days.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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47 25632
Q:

Study the following table and answer the questions based on it.

Following table gives the expenditures of a company (in lakh rupees) per annum over the given years.

 

 

Expenditure on Fuel and Transport forms what percentage of expenditure on Salary for the year 2001?

 

A) 34.54% B) 39.22%
C) 33.57% D) 37.58%
 
Answer & Explanation Answer: A) 34.54%

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

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Q:

A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was

A) Rs 100 B) Rs 150
C) Rs 200 D) Rs 250
 
Answer & Explanation Answer: C) Rs 200

Explanation:

Let original Cost price is x
Its Selling price = (105/100) * x = 21x/20
New Cost price  = (95/100) * x  = 19x/20
New Selling price = (110/100 )* (19x/20 )= 209x/200
[(21x/20) - (209x/200)] = 1
=> x = 200

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Q:

In a certain language, 'pit nac mit' means 'red pant shirt'. Which word means 'pant' in that language ? 

I. 'mit tim nac sir' means 'he wore red pant'. 

II. 'nee jic pit' means 'shirt is dirty'. 

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 not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

Clearly, from each of the statements, we find that the code for 'pant is either 'mit' or 'nee'.

So, none of them is sufficient to answer the question.  

 

 

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Filed Under: Data Sufficiency

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