20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 65

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The eliminate of $θ$ from $x \cos θ - y \sin θ$ and $x \sin θ + y \cos θ = 4$ will give :-

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 66

If

\frac{a}{1 - a} + \frac{b}{1 - b} + \frac{c}{1 - c} = 1

, then the value of

\frac{1}{1 - a} + \frac{1}{1 - b} + \frac{1}{1 - c}

is :---.

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 67

If

\frac{4 x}{3} + 2 P = 12

for what value of

P

,

x = 6

?

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 68

If

x (3 - \frac{2}{x}) = \frac{3}{x}

, then the value of

x^{2} + \frac{1}{x^{2}}

is :

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 69

The straight line

2 x + 3 y = 12

passes through:

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 70

In

Δ A B C

,

∠ A + ∠ B = 65 °

,

∠ B + ∠ C = 140 °

, then find

∠ B .

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 71

A cyclic quadrilateral

A B C D

is such that

A B = B C, A D = D C, A C ⊥ B D, ∠ C A D = θ

. Then the angle

∠ A B C =

?

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 72

The value of

[\frac{\cos^{2} A (\sin A + \cos A)}{{cosec}^{2} A (\sin A - \cos A)} + \frac{\sin^{2} A (\sin A - \cos A)}{\sec^{2} A (\sin A + \cos A)}] \times (\sec^{2} A - {cosec}^{2} A)

is:

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 75

Directions- Following figure is pie-chart representing itemwise cost of manufacturing certain product. Study the chart and answer the questions.

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Total manufacturing cost is $₹ 96, 000$ . Then cost of labour is: