Delhi SI CPO Nov 24 Shift-1

PA and PB are two tangents from a point P outside the circle with centre O at the points A and B on it. If $$\angle APB = 130^\circ$$, then $$\angle OAB$$ is equal to:

A person covers a distance of 300 km and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than the time taken for the return journey. If he returned at a speed of 10 km/h more than the speed of going, what was the speed (in km/h) for the outward journey

The given pie chart shows the percentage distribution of 450 employees in an organisation. Read the pie chart and answer the question that follows.

What is the central angle of the sector representing the number of employees in department E?

A solid metallic cube of side 9 cm and solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted to form single cube. How much(in ₹ ) is the cost to polish the new cube at a rate of ₹10 per $$cm^2$$?

If house tax is paid before the due date, one gets a reduction of 12% on the amount of the bill. By paying the tax before the due date, a person gota reduction of ₹2,100. The amount(in ₹) of house tax paid was:

The value of $$\frac{0.325\times0.325+0.175\times0.175+25\times0.00455}{5\times0.0065\times3.25-7\times0.175\times0.025}+\frac{0.5}{1.5}$$

A rectangular lawn whose length is twice of its breadth is extended by having four semi-circular portions on its sides. What is the total area (in $$m^{2}$$) of the lawn if the smaller side of the rectangle is 12 m? (Take $$\pi$$ = 3.14)

The given histogram shows the frequency distribution of the speed of cars passing through a particular spot on a
highway. Read the graph and answer the following question.

The number of cars with speed (km/h)in the interval (60 — 70) km/h is what percentage less than the number of
cars with speed (km/h)in the interval (70 — 80) km/h? (correct to one decimal place)

If $$x^{2}-3x+1=0 $$, then the value of $$ (x^{4}+\frac{1}{x^{4}}) \div(x^{2}+1)$$ is :

If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is ₹433.50, then , the compound interest (in₹) is: