Aptitude and Reasoning Questions

Q:

The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle.

A) 30 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: B) 40

Explanation:

let length = 2x and breadth = x then
(2x-5) (x+5) = (2x * x)+75
5x-25 = 75 => x=20
length of the rectangle = 40 cm

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

51 43186
Q:

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?

A) 376 B) 375
C) 500 D) 673
 
Answer & Explanation Answer: A) 376

Explanation:

The smallest number in the series is 1000, a 4-digit number.

 

The largest number in the series is 4000, the only 4-digit number to start with 4. 

 

The left most digit (thousands place) of each of the 4 digit numbers other than 4000 can take one of the 3 values 1 or 2 or 3.

 

The next 3 digits (hundreds, tens and units place) can take any of the 5 values 0 or 1 or 2 or 3 or 4.

 

Hence, there are 3 x 5 x 5 x 5 or 375 numbers from 1000 to 3999.

 

Including 4000, there will be 376 such numbers.

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97 43135
Q:

Find the odd one out.

 

 

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

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

4 43131
Q:

The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 sq.m. The length of the hall is

A) 20 B) 25
C) 30 D) 35
 
Answer & Explanation Answer: C) 30

Explanation:

Let breadth = x m

 

Then, length = (x+5)m

 

Area of a rectangle = Length x Breadth

 

x(x+5) = 750 

 

x² + 5x - 750= 0

 

(x+30)(x-25)= 0

 

x = 25 or x = -30

 

Hence, breadth x = 25m

 

=> Length = x + 5 = 25 + 5 = 30m. 

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Filed Under: Area
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

72 43124
Q:

Find the volume (in cm3) of a right circular cone of diameter 7 cm and height 7 cm.

 

A) 69.06   B) 16.43  
C) 11.15   D) 89.83
 
Answer & Explanation Answer: D) 89.83

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 43109
Q:

In the following question, select the related letters from the given alternatives.

NP : HJ : : SY : ?

A) NT B) MS
C) MT D) NS
 
Answer & Explanation Answer: B) MS

Explanation:
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Filed Under: Alphabet Test

1 43078
Q:

Arrange the given words in the sequence in which they occur in the dictionary.

 

1. Plight

2. Plush

3. Platter

4. Plateau

5. Plate

 

A) 45312   B) 54312  
C) 12354   D) 31524
 
Answer & Explanation Answer: B) 54312  

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

1 43053
Q:

What will come in place of the question mark (?) in the following number series?

17, 98, 26, 89, 35, ?

A) 80 B) 75
C) 67 D) 53
 
Answer & Explanation Answer: A) 80

Explanation:

1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80

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