Railway Exams (RRB) - Mathematics

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Q1.

Trigonometry & Heights: From the top of a 75 m high railway signal tower in 'Elementary Algebra: Polynomials, Linear and Quadratic Equations', the angles of depression of two trains in line with the tower are $30^\circ$ and $45^\circ$. What is the distance between the two trains?

(A)

$75(\sqrt{3} - 1)\text{ m} \approx 54.9\text{ m}$ (Elementary Algebra: Polynomials, Linear and Quadratic Equations)

(B)

$75\sqrt{{3}}\text{{ m}}$

(C)

$150\text{{ m}}$

(D)

$75(\sqrt{{3}} + 1)\text{{ m}}$

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Q2.

Mensuration 3D: A cylindrical water tanker for locomotives of radius 1.4 m and length 5 m is filled with water in 'Elementary Algebra: Polynomials, Linear and Quadratic Equations'. What is the capacity of the tanker in litres? (Take $\pi = 22/7$)

(A)

30,800 litres ($\text{Volume} = \frac{22}{7} \times 1.4^2 \times 5 = 30.8\text{ m}^3 = 30,800\text{ L}$) (Elementary Algebra: Polynomials, Linear and Quadratic Equations)

(B)

28,400 litres

(C)

32,600 litres

(D)

25,000 litres

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