SSC CHSL 16th March 2023 Shift-3

PX is a tangent drawn from point X, touches the circle at P, O is the centre of the circle. Radius of this circle is 10 cm and OX = 26 cm. What is the length of PX ?

A person borrowed Rs. 8000 on compound interest at the rate of 20 percent per aanum. If the interest is compounded half yearly, then what will be the amount to be paid after 1.5 years?

Two numbers are in the ratio 9 : 16. If both numbers are increased by 40, then their ratio becomes 2 : 3, What is the difference between the two numbers?

If $$\cos X = \frac{5}{13}$$, then what is the value of $$\tan X + \cot X$$?

A train of length 360 metres crosses an electric pole in 30 seconds and crosses another train of the same length travelling in opposite direction in 15 seconds. What is the speed of the second train?

What is the value of $$\frac{15\div5\times3-12\times12\div6+15\div5\times6}{18\div3\times5-12\div6\times5+18\div9\times5}$$

Anil sold an article at a loss of 15%. Had he sold it for Rs.84 more, be would have gained 13%. At what price should he have sold it to gain 20% ?

Angle subtended by a chord PQ on the centre of a circle is 180 degree. If length of chord PQ is 54 cm, then what will be the diameter of this circle?

$$\triangle$$ABC is a right angled triangle. $$\angle$$B = 90 degree, AB = 12 cm, BC = 5 cm. What is the value of $$\cos A + \sin C$$?

In a company average age of female employees is 14 years. Average age of all the employees is 32 years. If number of male and female is same, then what will be the average age of male employees?