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Ssc cgl tier 1 23 08 2017 shift 3 Practice Questions & Answers

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If $Cot\theta$ =$\frac{21}{20}$, then what is the value of $Sec\theta$?

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If $Cot\theta$ =$\frac{21}{20}$, then what is the value of $Sec\theta$?
1). $\frac{29}{21}$
2). $\frac{21}{29}$
3). $\frac{29}{20}$
4). $\frac{20}{29}$

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$\triangle DEF$ is right angled at E. If $m\angle F $= $45^{0}$, then what is the value of Sin F x Tan F?

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$\triangle DEF$ is right angled at E. If $m\angle F $= $45^{0}$, then what is the value of Sin F x Tan F?
1). $\sqrt{2}$
2). $\frac{1}{\sqrt{3}}$
3). $\frac{1}{\sqrt{2}}$
4). $\frac{2}{\sqrt{3}}$

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What is the value of $Cot 45^{0} + \frac{1}{3} Cosec 60^{0}$?

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What is the value of $Cot 45^{0} + \frac{1}{3} Cosec 60^{0}$?
1). $\sqrt{3}+2$
2). $\frac{\left(9 + 2\sqrt{3}\right)}{9}$
3). $\sqrt{3}$
4). $\frac{\left(2\sqrt{3} +3\right)}{\sqrt{6}}$

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$\triangle XYZ $is similar to $\triangle PQR$. If ratio of Perimeter of $\triangle XYZ$ and Perimeter of $\triangle PQR $ is 4:9 and if PQ = 27 cm, then what is the length of XY (in cm)?

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$\triangle XYZ $is similar to $\triangle PQR$. If ratio of Perimeter of $\triangle XYZ$ and Perimeter of $\triangle PQR $ is 4:9 and if PQ = 27 cm, then what is the length of XY (in cm)?
1). 9
2). 12
3). 16
4). 15

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What is the slope of the line parallel to the line passing through the points (3 , -4) and (-2 , 5)?

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What is the slope of the line parallel to the line passing through the points (3 , -4) and (-2 , 5)?
1). $\frac{9}{5}$
2). $-\frac{5}{9}$
3). $-\frac{9}{5}$
4). $\frac{5}{9}$