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Q:

If a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2?

A) 1/600 B) 1/60
C) 1/36 D) 1/360
 
Answer & Explanation Answer: C) 1/36

Explanation:
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Filed Under: Simplification
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Q:

For any two real numbers a and b.

a-b2+b-a2 is

A) always zero B) never zero
C) positive only if a ≠ b D) positive if an only if a > b
 
Answer & Explanation Answer: C) positive only if a ≠ b

Explanation:
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Q:

For x = 462+3, what is the value of x+22x-22+x+23x-23

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

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Q:

Suppose n is a positive integer such that (n2+ 48) is a perfect square. What is the number of such n?

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

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Q:

In a certain town of population size 1,00,000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows:

What is the number of people who do not read any of these three newspapers?

A) 62,000 B) 64,000
C) 66,000 D)  68,000
 
Answer & Explanation Answer: D)  68,000

Explanation:
Number of people who do not read any of these newspaper = total population – number of people who read atleast one of these newspapers.
number of people who read atleast one of these newspapers = 1% + 1% + 3% + 1% + 7% + 19% = 32% of total population = 32000
required number of people = 100000 – 32000 = 68000
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Filed Under: Table Charts
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Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

 

A) one  B) two
C) three D) four
 
Answer & Explanation Answer: C) three

Explanation:
Sec of any number can never be less than 1
tan can take any value from -∞ to + ∞
cosec of any number can never be less than 1
cos of any number can never be greater than 1
so option 1,3,4 are not possible
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Q:

What is the value of sin6θ + cos6θ + 3 sin2θ cos2θ 1?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: A) 0

Explanation:
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Q:

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

A) π/6 B) π/4
C) π/2 D) 1
 
Answer & Explanation Answer: A) π/6

Explanation:
3tan θ = cot θ 
3tan θ = 1/tan θ
tan2θ = 1/3
tan θ = 1/√3
θ = π/6
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