Aptitude and Reasoning Questions

Q:

If a--b = 4 and ab = 45, find the value of a3 - b3

A) 604 B) 370
C) 253 D) 199
 
Answer & Explanation Answer: A) 604

Explanation:

(a  b)2 = a2 + b2 -2ab  16 = a2 + b2  90  a2 + b2 = 106 a3  b3 = (a  b) (a2 + b2 + ab)  a3  b3 = 4 X (106 + 45)  a3  b3 = 4 X 151  a3  b3 = 604

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Filed Under: Simplification
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Q:

If '+' means '÷', '÷' means '­', '­' means 'X' and 'X' means '+', then 48 + 16 x 4 ­2 ÷ 8 = ?

A) 3 B) 6
C) 112 D) -28
 
Answer & Explanation Answer: A) 3

Explanation:
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Filed Under: Coding and Decoding
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Q:

If "A" means "plus", "B" means "divide", "C" means "multiply" and "D" means "minus", then 187 B 17 C 4 A 7 D 17 = ?

A) 30 B) 44
C) 33 D) 34
 
Answer & Explanation Answer: D) 34

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Filed Under: Coding and Decoding
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Q:

If 10$25 = 8, 12$25 = 10 then what is the value of 14$53 = ?

A) 13 B) 15
C) 11 D) 9
 
Answer & Explanation Answer: A) 13

Explanation:
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Filed Under: Coding and Decoding
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Q:

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

A) sin2A – cos2A B) sin3A + cos3A
C) 0 D) 1
 
Answer & Explanation Answer: B) sin3A + cos3A

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Q:

The length of the diagonal and the breadth of a rectangle is 26 cm and 10 cm respectively. Calculate its area (in cm2).

A) 480 B) 96
C) 240 D) 192
 
Answer & Explanation Answer: C) 240

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Q:

Two cyclists A and B start cycling at 21 km/hr and 24 km/hr towards each other. They meet after 1 hour and 12 minutes. How far (in km) were they from each other when they started?

A) 48 B) 42
C) 54 D) 36
 
Answer & Explanation Answer: C) 54

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Filed Under: Time and Distance
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Q:

If x2+ x = 19, then what is the value of (x + 5)2+ [1/(x + 5)2]?

A) 77 B) 79
C) 81 D) 83
 
Answer & Explanation Answer: B) 79

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