SSC CGL Tier-2 9-March-2018 Maths-shift-1

Instructions

For the following questions answer them individually

Question 11

Which of the following statement(s) is/are TRUE?

I. $$\sqrt{121}+\sqrt{12321}+\sqrt{1234321} = 1233$$

II. $$\sqrt{0.64}+\sqrt{64}+\sqrt{36}+\sqrt{0.36}>15$$

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Question 12

What is the value of $$(2+\sqrt{2})+\left(\frac{1}{2+\sqrt{2}}\right)+\left(\frac{1}{2-\sqrt{2}}\right)+(2-\sqrt{2})$$?

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Question 13

The sum of two positive numbers is 14 and difference between their squares is 56. What is the sum of their squares?

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Question 14

What is the value of $$1006^2 - 1007 \times 1005 + 1008 \times 1004 - 1009 \times 1003$$?

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Question 15

If $$a^2 + b^2 = 4b + 6a - 13$$, then what is the value of $$a + b$$

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Question 16

$$x$$ and $$y$$ are positive integers. If $$x^4 + y^4 + x^2y^2 = 481$$ and $$xy = 12$$, then what is the value of $$x^2 - xy + y^2$$?

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Question 17

If $$A = 1 + 2^p$$ and $$B = 1 + 2^{-p}$$,then what is the value of $$B$$?

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Question 18

If $$a$$ and $$b$$ are roots of the equation $$ax^2 + bx + c = 0$$, then which equation will have roots $$(ab + a + b)$$ and $$(ab - a - b)$$?

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Question 19

If $$\sqrt{(1 - p^2)(1 - q^2)} = \frac{\sqrt{3}}{2}$$, then what is the value of $$\sqrt{2p^2 + 2q^2 + 2pq} + \sqrt{2p^2 + 2q^2 - 2pq}$$?

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Question 20

If $$(a + b)^2 - 2(a + b) = 80$$ and $$ab = 16$$, then what is the value of $$3a - 19b$$?

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