Aptitude and Reasoning Questions

Q:

An air conditioner can cool the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?

A) 18 minutes B) 19 minutes
C) 22 minutes D) 24 minutes
 
Answer & Explanation Answer: C) 22 minutes

Explanation:

Let the two conditioners be A and B

 

'A' cools at 40min

 

'B' at 45min

 

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

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

94 69280
Q:

What is the value of (sin45 - √3) ?

 

A) (1-√6)/√2   B) (4-√3)/2√3  
C) -1/2√3   D) (2-√3)/2√3
 
Answer & Explanation Answer: A) (1-√6)/√2  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 69204
Q:

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

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

Explanation:

Let the numbers 13a and 13b.

Then, 13a x 13b = 2028

=>ab = 12.

Now, the co-primes with product 12 are (1, 12) and (3, 4).

[Note: Two integers a and b are said to be coprime or relatively prime if they have no common positive factor other than 1 or, equivalently, if their greatest common divisor is 1 ]

So, the required numbers are (13 x 1, 13 x 12) and (13 x 3, 13 x 4).

Clearly, there are 2 such pairs.

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Filed Under: HCF and LCM

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Q:

A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?

A) 3.6 B) 7.2
C) 8.4 D) 10
 
Answer & Explanation Answer: B) 7.2

Explanation:

Speed =   6005×60 m/sec= 2 m/sec = 2 x (18/5) km/hr = 7.2 km/hr

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Filed Under: Time and Distance

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Q:

 The percentage increase in the area of a rectangle, if each of its sides is increased by 20%

A) 22% B) 33%
C) 44% D) 55%
 
Answer & Explanation Answer: C) 44%

Explanation:

Let original length = x metres and original breadth = y metres.

Original area = xy sq.m 

Increased length  = 120100 and Increased breadth = 120100 

 

New area = 120100x*120100y=3625xy m2 

 

The difference between the Original area  and New area  is:  

3625xy-xy

 

1125xy Increase % =1125xyxy*100= 44%

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

108 69064
Q:

If signs - and x, and numbers 3 and 15 are interchanged, what is the value of 3+12/6-4x15 is

 

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer: A) 20

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

0 68995
Q:

Which of the following statement(s) is/are true?

I. (65)1/6 > (17)1/4 > (12)1/3  II. (17)1/4 > (65)1/6 > (12)1/3   III. (12)1/3 > (17)1/4 > (65)1/6

A) Only I B) Only III
C) Only II D) None of these
 
Answer & Explanation Answer: B) Only III

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If Z = 52 and ACT = 48, then BAT will be equal to

A) 39 B) 41
C) 44 D) 46
 
Answer & Explanation Answer: D) 46

Explanation:

In the given code, A = 2, B = 4, C = 6,.... , Z = 52.

So, ACT = 2 + 6 + 40 = 48 and

BAT = 4 + 2 + 40 = 46

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Filed Under: Coding and Decoding

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