SSC CGL Mathematics Test 1

Instructions

For the following questions answer them individually

Q 1

The simplified value of $$\frac{3\sqrt7}{\sqrt5+\sqrt2}-\frac{5\sqrt5}{\sqrt2+\sqrt7}+\frac{2\sqrt2}{\sqrt7+\sqrt5}$$ is

Q 2

A farmer buys a goat and a sheep for Rs 3500. He sold the sheep at a profit of 20 percent and the goat at a loss of 10 percent. If he sold both the animals at the same price, then the cost price (in Rs) of the cheaper animal was?

Q 3

If the diameter of a hemisphere is 21 cm, then what is the volume $$(in cm^3)$$ of hemisphere?

Q 4

What is the simplified value of $$sec^4 θ - sec^2 θ tan^2 θ$$ ?

Q 5

Δ ABC is right angled at B. If m∠A = 30°, what is the length of AB (in cm), if AC = 10 cm?

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