Aptitude and Reasoning Questions

Q:

A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?

A) 5 B) 6
C) 8 D) 9
 
Answer & Explanation Answer: C) 8

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Filed Under: Area
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Q:

Two numbers are in the ratio 3:5 and their HCF is 20. Their LCM is

A) 30 B) 300
C) 60 D) 10
 
Answer & Explanation Answer: B) 300

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Filed Under: HCF and LCM
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Q:

The average of four consecutive odd numbers is 40. What is the largest number?

A) 42 B) 45
C) 43 D) 44
 
Answer & Explanation Answer: C) 43

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Filed Under: Problems on Numbers
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Q:

If cotA + cotB = x, then value of x is

A) (cotAcotB + 1)/(cotB - cotA) B) (cotAcotB + 1)/(cotB + cotA)
C) (cotAcotB - 1)/(cotB + cotA) D) (cotAcotB - 1)/(cotB - cotA)
 
Answer & Explanation Answer: C) (cotAcotB - 1)/(cotB + cotA)

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Filed Under: Simplification
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Q:

Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

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Filed Under: Paper Folding

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Q:

A vendor buys bananas at 9 for Rs 8 and sells at 8 for Rs 9. What will be the profit or loss (in %)?

A) 13.28% profit B) 26.56% loss
C) 26.56% profit D) 13.28% loss
 
Answer & Explanation Answer: C) 26.56% profit

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Filed Under: Profit and Loss
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Q:

What is the value of cosec 11π/6?

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

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Filed Under: Simplification
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Q:

If in a two digit number, the digit at unit place is z and the digit at tens place is 8, then the number is

A) 80z + z B) 80 + z
C) 8z + 8 D) 80z + 8
 
Answer & Explanation Answer: B) 80 + z

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Filed Under: Problems on Numbers
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