AP ICET 26th April 2019 Shift-2


Note:In the following 20 questions ,each questionis followed bydata in the formof two statements labeled as I and II. 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 1

What is the value of $$\frac{x^3 + 8y^3 - z^3}{xyz}$$

I. $$x + 2y = z$$

II. $$x > y >  z$$ 

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Question 2

Is n a prime?
I. p is a prime and $$p < \sqrt{n} \Rightarrow p \mid n$$ 

II. $$2 \mid n$$

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Question 3

Can you construct the $$\triangle ABC$$ withsides a, b and c?
I. a > b > c
II. a = 2, b = 6, c = 9

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Question 4

What is the length of the train?
I. The train crosses a lamp post in 10 seconds.
II. The train crosses another train standing on the platform in 16 seconds.

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Question 5

How much canvas is required to erect a tent in the shape of a cylinder surmounted by a cone having the base radius same as that of the cylinder?
I. Height of the cylinderis 5 meters.
II. Radius of the cone is 3 meters

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Question 6

What is the 3 digit number?
I. $$\frac{1}{3^{rd}}$$ of that numberis 27 less than half of that number.
II. One-fifth of that number is 20% of that number.

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Question 7

If the arithmetic mean of 14, 20, 40, 52 and x is m then. what is the value of m?
II. $$\frac{m}{x} - 5 = 9$$
II. $$x < m$$

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Question 8

What is the salary of C in a group of A, B, C, D, E and F whose average salary is Rs. 60,000?
I. Total salary of A and E is Rs. 64,500.
II. Total salary of B and F is Rs. 52,600.

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Question 9

The ages of Tanishk and Sunil are in the ratio 5:6. Whatis the age of Sunil?
I. The ages of Tanishk and Deepuare in the ratio 3:2
II. After 6 years. the ratio of the ages of Deepu and Sunil will be 6:7

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Question 10

What is the smaller angle in the parallelogram?
I. Ratio between the angles of a triangle is 3 : 5 : 4 and the largest angle of the triangle is $$34^\circ$$ less than the larger angle of the parallelogram.
II. The sum of the larger and smaller angle of the parallelogram is $$180^\circ$$

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