AP ICET 11th September 2020 Shift-2

Instructions

In the following questions, a question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.

Question 11

If $$115 < m < 125$$, then what is the positive integer m?
I) m leaves remainder 2 when divided by 4
II) m + 3 is a multiple of 11

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Question 12

What are the sides of right angled triangle?
I) The perimeter of the triangle is 60 cm
II) The difference between the height and the base is 14 cm

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Question 13

Is $$x + y$$ a positive integer?
I) $$x+3$$ is equal to the larger root of $$x^{2} - 16 = 0$$
II) $$y+3$$ is the real root of $$x^{3} + 27 = 0$$

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Question 14

Is the angle A of the triangle ABC acute?
I) ABC is a right angled triangle
II) $$\angle B = 90^{\circ}$$

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Question 15

What is the average of 5 real numbers a, b, c, d, e?
I) a + e = 20
II) a, b, c, d, e are in A.P

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Question 16

What is the share of A in the profit in a business at the end of the year when there are three partners A, B and C in the business?
I) The total profit in the business at the end of the year is Rs. 10,000
II) A's capital in the business is twice that of B.

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Question 17

If A is a set with 15 elements and P is a subset of A, then what is the number of subsets of A which are disjoint with P.
I) P has less than 7 elements
II) The largest subset of A which is disjoint from P has 10 elements

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Question 18

What is the number of common tangents to the two circles?
I) The number of points common to the two circles is 0.
II) The radii of the two circles are in the ratio 3 : 4

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Question 19

Is the function fan odd function?
I) $$f(- 2) = f(2)$$
II) $$f(- 3)= -f(3)$$

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Question 20

Is the positive integer n a prime"
I) $$n^{3}$$ has at least four divisors
II) $$n^{2}$$ has exactly three divisors

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