Aptitude and Reasoning Questions

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

232 69693
Q:

If 16#2 = 16, 12#6 = 36 and 6#1 = 3, then find the value of 4#4 = ?

 

A) 2 B) 4
C) 10 D) 8
 
Answer & Explanation Answer: D) 8

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

5 69506
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

315 69499
Q:

X boys can do a piece of work in 24 days. In how much time (in days), 2X boys will do half of the work?

 

A) 6 B) 12
C) 18 D) 8
 
Answer & Explanation Answer: A) 6

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

2 69469
Q:

If (3/2)X = (5/7)Y = (6/5)Z, then what is X : Y : Z?

 

A) 105 : 50 : 84 B) 24 : 25 : 32
C) 15 : 21 : 25 D) 20 : 42 : 25
 
Answer & Explanation Answer: D) 20 : 42 : 25

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

21 69434
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

16 x 8 - 4 ÷ 9 + 14 = 37

 

A) + and x B) + and ÷
C) ÷ and - D) - and +
 
Answer & Explanation Answer: C) ÷ and -

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

2 69410
Q:

If x2 + kx + k = 0, has two distinct real solutions, then the value of k will satisfy

 

A) k<0 or k>4 B) k>4 only
C) 0<k<4 D) k<0 only
 
Answer & Explanation Answer: A) k<0 or k>4

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 69381
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 69293