Aptitude and Reasoning Questions

Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one B) Only two
C) Only three D) Infinitely many
 
Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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

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Q:

Three solid spheres have their radii r1, r2 and r3. The spheres are melted to form a solid sphere of bigger radius. Then the radius of the new sphere is

A) r1+r2+r3 B) r12+r22+r3212
C) r13+r23+r3313 D) r14+r24+r3414
 
Answer & Explanation Answer: C) r13+r23+r3313

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

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Q:

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

A) 2 B) 2.5
C) 5 D) 10
 
Answer & Explanation Answer: B) 2.5

Explanation:
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Q:

Four pairs of words are given. Find the odd one out.

A) Rhombus : Four-sided polygon B) Nonagon : Seven-sided polygon
C) Octagon : Eight-sided polygon D) Hexagon : Six-sided polygon
 
Answer & Explanation Answer: B) Nonagon : Seven-sided polygon

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

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Q:

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

 

GX, JU, MR, PO, ?

 

A) SK   B) SL
C) RM   D) RL
 
Answer & Explanation Answer: B) SL

Explanation:
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Filed Under: Alphabet Test
Exam Prep: Bank Exams

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Q:

The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is

A) 2 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: D) 28

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

In a camp 180 students had ration for 20 days. How many students should leave the camp if the ration should last for 25 days?

 

A) 36 B) 24
C) 28 D) 40
 
Answer & Explanation Answer: A) 36

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

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Q:

In a certain code language, 'x' represents '+', '÷' represents 'x', '-' represents '÷' and '+' represents '-'. Find out the answer to the following question.

24 + 12 x 30 ÷ 2 - 6 = ?

A) 18 B) 13
C) 37 D) 22
 
Answer & Explanation Answer: D) 22

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

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