TS ICET 28th July 2022 Shift-1


In the following questions numbered 1 to 20, 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 1

What is the value of $$x + y$$?
(I) $$3x - 4y - 5 = 0$$.
(II) $$8y - 6x + 10 = 0.$$

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Question 2

What is angle A in triangle ABC?
(I) $$\angle B= 40^{\circ}$$.
(II) Triangle ABC is isosceles.

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Question 3

Is the integer 3m + 4n even?
(I) 2m + n is an odd number.
(II) m + 2n is an odd number.

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Question 4

A sequence of integers is given by $$a_{n} = (a_{n-l} + 1)^{2}$$ , then what is $$a_{5}$$?
(I) $$a_{3} = 25$$
(II) $$a_{1}$$ is an odd integer.

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Question 5

Is the perimeter of the rectangle greater than 65 cm?
(I) Its length is less than 16 cm.
(II) Its breadth is greater than 10cm.

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Question 6

For real numbers a, b and c, is a = b = c ?
(I) a + 3b + 2c = 0.
(II) $$a^{2} + b^{2} + c^{2} = ab+ bc + ca$$.

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Question 7

How much money do the persons A and B together have?
(I) B has Rs.200 less than what C has.
(II) A has Rs.300 more than C has.

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Question 8

How many students passed in both Mathematics and English?
(I) 15 failed in both Mathematics and English.
(II) The number of failures in Mathematics exceeds the number of failures in English by 10.

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Question 9

Is $$x = y = z$$?
(I) $$x^{3} + y^{3} + z^{3} = 3xyz$$.
(II) $$x^{2} + y^{2} + z^{2} = xy + yz + zx$$.

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Question 10

What is the average of a, b, c, d?
(I) a + b + c = d + 15.
(II) 13 - c - 3d = a + b.

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