AP ICET 11th September 2020 Shift-1


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 1

For non-zero real numbers a and b what is the value of $$\frac{2a + 3b}{3a + 2b}$$
I) a > 0, b = 2
II) $$\frac{b}{a} = \frac{1}{6}$$

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Question 2

Is n an even integer?
I) n is the square of an integer
II) n is the cube of an integer

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Question 3

If a, b, c, d are in Arithematic Progression what is the value of d - b?
I) a + b + c = 40
II) The common difference of that A.P is 4

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Question 4

How many students failed in Mathematics and Natural Science?
I) 12 student, passed in both Mathematics and Natural Science.
II) The number of passes in Mathematics exceed the number of passes in Natural
Science by 8.

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Question 5

Is n a prime number?
I) $$m = n^{3}$$
II) m has more than four divisons

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Question 6

What is the number of divisions of n?
I) $$n = n^{4}$$
II) $$a = p^{2}q$$, where p and q are distinct prime numbers

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Question 7

Is P the mother of Q?
I) P is not the brother of Q's Paternal uncle
II) Q is the daughter of P

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Question 8

How long would Gopal take to complete the work?
I) Goapl takes 10 days more than Shyam to complete the work.
II) Gopal and Shyam together can complete the work in 20 days

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Question 9

What is the age of A?
I) A is younger to B
II) The age of B is 20 years

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Question 10

What is the value of $$\sin 4\theta$$?
I) $$\tan 2\theta + \cot 2\theta = 7$$
II) $$\sec 2\theta + \cosec 2\theta = 5$$

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