SSC CGL 2012 Tier 1 1 July NZ Morning III

Instructions

For the following questions answer them individually

Question 121

If $$x + \frac{1}{x} = 12 $$, the value of $$x^2 + \frac{1}{x^2}$$ is

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Question 122

$$sec^4 θ - sec^2 θ$$ is equal to

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Question 123

In ΔABC, AD is the median and AD = 1/2 BC. If ∠BAD = 30°, then measure of ∠ACB is

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Question 124

If √6 x √15 = x√10, then the value of x is

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Question 125

$$3 - \frac{3+\sqrt{5}}{4} - \frac{1}{3 + \sqrt{5}}$$

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Question 126

If a + b + 1 = 0, then the value of $$(a^3 + b^3 +1 - 3ab)$$ is

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Question 127

In the xy­ coordinate system, if (a, b) and (a + 3, b + k) are two points on the line defined
by the equation x = 3y - 7, then k = ?

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Question 128

The average age of four boys, five years ago was 9 years. On including a new boy, the present average age of all the five is 15 years. The present age of the new boy is

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Question 129

If the average of 39, 48, 51, 63, 75, 83, x and 69 is 60, then the value of x is

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Question 130

The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.

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