Quantitative Aptitude - Arithmetic Ability Questions

Q:

If (1 + cot2A) = x, then the value of x is

A) secA B) sinA
C) cosecA D) cosA
 
Answer & Explanation Answer: C) cosecA

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Q:

The number of solutions of the pair of linear equations x + 2y - 8 = 0 and 2x + 4y = 16 is

A) 0 B) 1
C) Infinitely many D) 2
 
Answer & Explanation Answer: A) 0

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Q:

If the product of two numbers is 2522 and their LCM is 97 then their HCF is

A) 28 B) 29
C) 27 D) 26
 
Answer & Explanation Answer: D) 26

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Q:

The value of sinθ+sincosθ+cos + cosθ-cossinθ-sin is

A) 1 B) 2
C) 1/2 D) 0
 
Answer & Explanation Answer: D) 0

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Q:

What is the value of Sin 30° + Cos 30°?

A) (√6 + 1)/√3 B) (√3 + 2)/√3
C) (1 + √3)/2 D) 5/√3
 
Answer & Explanation Answer: C) (1 + √3)/2

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Q:

If Sinx = 4/5, then Sec2x - 1 = ?

A) 16/25 B) 25/9
C) 9/16 D) 16/9
 
Answer & Explanation Answer: D) 16/9

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Q:

10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?

A) 21 B) 20
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

Let the number be x

When 10 is added, number = x + 10

When 7 is multiplied, number = 7 X (x + 10)

According to question,

⇒[7 X (x+10) / 5] –5 = 44

⇒7x + 70 = 49 X 5

⇒x + 10 = 35,

⇒x = 25

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Q:

Find the area (in sq.cm) of a semi-circle of radius 14cm.

A) 308 B) 616
C) 160 D) 320
 
Answer & Explanation Answer: A) 308

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