SSC CHSL 2019 tier 1 Questions and Answers Detailed Explanation

Question : 1

A runner is running at a speed of 40 km/h. If he runs at a speed of 30 km/h, then what will the decrease in the percentage of his speed be?

a) 30%

b) 25%

c) 20%

d) 15%

Question : 2

In the figure, L is the centre of the circle, and ML is the perpendicular to LN. If the area of the triangle MLN is 36, then the area of the circle is:

a) 68π

b) 70π

c) 66π

d) 72π

Question : 3

If 4cos²θ - 3sin²θ + 2 = 0, then the value of tanθ is (where 0 ≤ θ < 90°)

a) 1

b) $√6$

c) $√2$

d) $1/√{3}$

Question : 4

Find the value of 2.1 + 2.25 ÷ [ 63 - { 7.5 × 8 + ( 13 - 2.5 × 5) } ].

a) 3.0

b) 2.9

c) 3.1

d) 2.8

Question : 5

If 3 sec²x - 4 = 0, then the value of x (0 < x < 90°)

a) 15°

b) 45°

c) 30°

d) 60°

Question : 6

Find the value of $\text"tan 60° - tan 15°"/\text"1 + tan 60°tan 15° "$

a) $√{3}/2$

b) 1

c) $1/2$

d) $1/√{2}$