Aptitude and Reasoning Questions

Q:

If 6 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 9 engines, each running 13hours a day, it being given that 2 engines of former type consume as much as 3 engines of latter type ?

A) 45 metric tonnes B) 47 metric tonnes
C) 55 metric tonnes D) 34 metric tonnes
 
Answer & Explanation Answer: A) 45 metric tonnes

Explanation:

2 engines of former type for one hour consumes (2 x 24)/(6 x8) = 1 metric ton 

i.e. 3 engines of latter type consumes 1 ton for one hour

Hence 9 engines consumes 3 tons for one hour

For 15 hours it is 15 x 3 = 45 metric tonnes.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

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Q:

Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially?

A) 153145 kgs B) 147890 kgs
C) 152400 kgs D) 149600 kgs
 
Answer & Explanation Answer: D) 149600 kgs

Explanation:

Let the total quantity of gold be p kgs.

According to the question,

50% of p + 25% of p + 12.5% of p = 130900

87.5% of p = 130900

p = 130900 x 100/87.5  = 149600 kgs.

 

Therefore, the initial gold quantity that king has = p = 149600 kgs.

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Q:

Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?

A) 40 km B) 50 km
C) 70 km D) 80 km
 
Answer & Explanation Answer: D) 80 km

Explanation:

Let the total distance be 'x' km.

Time taken to cover remaining 40% of x distance is   t1=40×x100×48


But given time taken to cover first 60% of x distance is   t2=t1+2060hrs

 t2=60×x100×48

60×x100×48= 40×x100×48+2060

 x=80 km.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank PO

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Q:

You are in a bus. The bus reaches your stop but still you have not purchased the ticket because of heavy rush. What will you do ?

A) Jump out quickly to avoid embarrassment. B) call the conductor, give him the money and get the ticket.
C) Hand the money to someone sitting nearby to give it to the conductor D) Give the money to the driver.
 
Answer & Explanation Answer: B) call the conductor, give him the money and get the ticket.

Explanation:
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Q:

A company requires 12,100 strength. Present employees are 400 ladies and 6400 gents. To reach the target how many ladies required to maintain the same ratio ?

A) 400 B) 600
C) 900 D) 700
 
Answer & Explanation Answer: C) 900

Explanation:

6,400 gents, 2400 ladies in that company.
So total 8,800employees.
for 8,800 employees, we want 2400 ladies.
for 12,100employees we want how many ladies ?
=> (12,100/8,800) x 2400 = 3300.
So we want 3300 - 2400 = 900 more ladies.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

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Q:

How many ways can you select 17 songs for mix CD out of possible 38 songs?

A) 2878 B) 2878 x 10^2
C) 290183753 D) 2878 x 10^10
 
Answer & Explanation Answer: D) 2878 x 10^10

Explanation:

since it is a combination = 38C17 = 2878 x 10^10

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Q:

If it is possible to form a number with the second, the fifth and the eighth digits of the number 31549786, which is the perfect square of a two - digit even number, which of the following will be the second digit of that even number ?

A) 1 B) 4
C) 6 D) None of these
 
Answer & Explanation Answer: B) 4

Explanation:

The 2nd, 5th and 8th digits of the number 31549786 are 1, 9 and 6 respectively.

 

The perfect square of a two - digit even number, formed using the digits 1, 9 and 6 is 196.

And,  14 x 14 = 196 

 

So, the required even number is 14. Clearly, its second digit is 4.

 

Hence, the answer is (b).

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Q:

The rational for the recurring decimal 0.125125......is

A) 125/99 B) 125/999
C) 125/9999 D) 125/9
 
Answer & Explanation Answer: B) 125/999

Explanation:

   0.125125...... = 0.125¯ =   125/999

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Filed Under: Decimal Fractions

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