Aptitude and Reasoning Questions

Q:

Find the odd man out of the following number series?

22, 26, 42, 78, 142, 244

A) 244 B) 142
C) 78 D) 42
 
Answer & Explanation Answer: A) 244

Explanation:

The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

2222 + 22 = 22 + 4 = 2626 + 42 = 26 + 16 = 4242 + 62 = 42 + 36 = 7878 + 82 = 78 + 64 = 142142 + 102 = 142 + 100 = 242 

 

Hence, the odd one in the given number series is 244.

 

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3 45525
Q:

If the value of θ = 30°, then the value of tan2θ + cot2θ.

 

A) 1/3 B) 4/3
C) 9/3 D) 10/3
 
Answer & Explanation Answer: D) 10/3

Explanation:
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Q:

Product of two co-prime numbers is 117. Their L.C.M  should be

A) 1 B) 117
C) Equal to their H.C.F D) cannot be calculated
 
Answer & Explanation Answer: B) 117

Explanation:

H.C.F of co-prime numbers is 1. So, L.C.M = 117/1 =117

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122 45438
Q:

Cos2 90° + Cosec2 90° - Cot2 45° = ?

 

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

Explanation:
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0 45420
Q:

Statements :
All keys are locks.
All locks are bangles.
All bangles are cars.


Conclusion :
a. Some cars are locks.
b. Some bangles are keys.
c. Some cars are keys.

A) Only a follows B) Only c follows
C) Only a & b follows D) a, b & c follows
 
Answer & Explanation Answer: D) a, b & c follows

Explanation:

All locks are bangles + All bangles are cars = A + A = A
= All locks are cars => Some cars are locks.
Hence conclusion (a) follows.
All keys are locks + All locks are bangles = A + A = A
= All keys are bangles => some bangles are keys.
Hence conclusion (b) follows.
All keys are bangles + All bangles are cars = A + A = A
= All keys are cars => Some cars are keys.
Hence conclusion (C) follows.

 

 

 

Thus all a, b and c follows.

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Q:

What is the value of 'x' in 23x - 527x + 108x = -21 ?

 

A) 0.33 B) 1
C) 3 D) 9
 
Answer & Explanation Answer: C) 3

Explanation:
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0 45359
Q:

If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?

A) 500 B) 1000
C) 1500 D) 2000
 
Answer & Explanation Answer: B) 1000

Explanation:

Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.

Then, 2x + 3y = 3500 ...(i)

and 3x + 2y = 4000 .....(ii)

solving (i) and (ii) we get x = 1000, y = 500 

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98 45326
Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

 

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

Explanation:
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