Quantitative Aptitude - Arithmetic Ability Questions

Q:

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2), then the value of k is

A) 1 B) -2
C) 2 D) 2
 
Answer & Explanation Answer: D) 2

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Q:

If cos4θ-sin4θ=13 then the value of tan2θ is

A) 1/2 B) 1/3
C) 1/4 D) 1/5
 
Answer & Explanation Answer: A) 1/2

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Q:

What is the value of Sin 30- √2 Cos 30

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

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Q:

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?

A) 5/2 B) 2/5
C) 5/4 D) 4/5
 
Answer & Explanation Answer: A) 5/2

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Q:

What is the value of √[(1 - sinA)/(1 + sinA)]?

A) cosA/(1 - sinA) B) cosecA/(1 + sinA)
C) cosA/(1 + sinA) D) cosecA/(1 - sinA)
 
Answer & Explanation Answer: C) cosA/(1 + sinA)

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Q:

If 3x^2 + ax + 4 is perectly divisible by x - 5, then the value of a is :

A) -5 B) -15.8
C) -12 D) -15.6
 
Answer & Explanation Answer: B) -15.8

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Q:

In the following question, select the odd number group from the given alternatives.

A) (143, 64) B) (232, 49)
C) (719, 289) D) (462, 169)
 
Answer & Explanation Answer: D) (462, 169)

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Q:

Findout the odd word/letters/number/number pair from the given alternatives.

A) 5712 B) 6212
C) 3811 D) 7831
 
Answer & Explanation Answer: A) 5712

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