Q1. The median of the series sin\(1^{\circ}\), sin\(2^{\circ}\), sin\(3^{\circ}\),...............,sin\(179^{\circ}\) is

a. 1

b. \(1/\sqrt{2}\)

c. sin\(46^{\circ}\)

d. sin\(89^{\circ}\)

e. sin\(98^{\circ}\)

Is this a GMAT question ?

Ans: B

sin function starts from sin\(0^{\circ}\) = 0 increases till sin\(90^{\circ}\) = 1 , then decreases till sin\(180^{\circ}\) = 0

and sin\(x^{\circ}\) = sin\((180 - x)^{\circ}\)

So the mid value occurs at sin\(45^{\circ}\) or sin\(135^{\circ}\) = \(1/\sqrt{2}\)

Q2. If the Standard deviation of 1,2,3,4,5,6,7,8,9,10,11 is M, then the standard deviation of 101,102,103,...................,111 is

a. M

b. 100+M

c. 100-M

d. M-100

e. 100M

Ans: A

Theory: The standard deviation remains unchanged if we add a constant to every term.

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