TS ICET 23rd May 2019 Shift-1

Instructions

In questions numbered 1 to 20, a question is followed by data in the form of two statements labeled as I and II. You must decide whetherthe data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from(1) to (4) as perthe following guidelines:

Question 11

Is x = 93y6 divisible by 9
I. y is divisible by 9
II. y is divisible by 3

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Question 12

At how manypoints do the twocircles intersect?
I. The distance betweentheir centres is 15 cm
II. The radii of the two circles are equal

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Question 13

What is the digit in the units place of n?
I. $$n = 6^k, k$$ is an integer $$\geq 1$$
II. $$n = 8^k, k$$ is an integer $$\geq 1$$

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Question 14

If a and b are real numbers, is a > b?
I. b is the real root of $$ x^3 - 1 = 0$$
II. a is the smaller of the roots of $$x^2 - 1 = 0$$

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Question 15

If $$A$$ ≠ $$\phi$$ and $$R$$ is relation on set $$A$$, then is $$R$$ Transitive?
I. $$R = A \times A$$
II. $$ R \subseteq A \times A$$

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Question 16

Whatis the selling price of each article?
I. The cost price of eacharticle is Rs.500
II. The loss on one article is equal to the gain on other article

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Question 17

Whatis the shortest distance between villages X and Y?
I. Village X is to the north of Village Z at a distance of 35 km
II. Village Y is at a distance of 20km from Z

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Question 18

Howis Y related to X?
I. Y is the spouse of a parent of X
II. X is the brother of Y’s daughter

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Question 19

X and Yare in partnership business for one year. At the end of the year, a profit of Rs.90.000 was earned. What is Y’s share in the profit?
I. Y invested Rs.1.40,000
II. X withdraw his capital after 9 months

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Question 20

Whatis the relative speed of the boy swimming against the current?
I. Speed of the boy instill waters is 5 kmph
II. Speed of the current in 2 kmph

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