AP ICET 2013


In the following questions a question is followed by data in the form of two statements labelled as I and Il. You must decide whether the data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from (a) to (d) as per the following guidelines :

Question 11

What is the value of n ?
I. $$1^3 + 2^3 + 3^3 + ..... + n^3 = 225$$
II. n is positive integer

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Question 12

What is the day of $$31^{st}$$ December of an year ?
I. In that year the first of March was Monday.
II. That year was a leap year.

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Question 13

What is the Arithmetic Mean of the numbers x, y, z and t ?
I. x + 2y - z - 3t = K
II. 2x + y + 4z + 6t = L

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Question 14

What is the equation of a straight line ?
I. The line is parallel to 2x + 3y = 5.
II. The line does not pass through the origin.

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Question 15

What is the value of $$8a^3 + b^3 - 27c^3$$ ?
I. abc = k
II. 2a + b = 3c

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Question 16

What is the distance between two ships ?
I. Seen from the top of a mountain their angles of depression are $$60^\circ$$ and $$30^\circ$$.
II. Height of the mountain is 60 metres.

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Question 17

Is (x - a) a factor of the polynomial f(x) ?
I. f(a) ≠ 0
II. The sum of the coefficients of f(x) is constant.

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Question 18

What is the simple interest eamed yearly on a deposit in a bank ?
I. The amount deposited is ₹ 10,000.
II. The rate of interest is 8%.

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Question 19

What is the surface area of a sphere ?
I. The sphere is made of iron.
II. The radius of the sphere is given.

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Question 20

What is the value of $$x^4 + y^4$$, if $$xy = 1$$?
I. x + y = 5
II. x > O, y > 0

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