SSC CGL Tier-2 11th September 2019 Maths

The given pie chart shows the breakup of total number of the employees of a company working in different offices
(A, B, C, D and E).
Total No. of employees = 2400

If the percentage of male employees in office C is 20% and that of female employees in E is 40%, then what is the ratio of the number of female employees in C to that of female employees in E?

In a trapezium ABCD, DC $$\parallel$$ AB , AB = 12 cm and DC = 7.2 cm. What is the length of the line segment joining the midpoints of its diagonals?

A number is first increased by 16% and then increased by 14%. The number, so obtained, is now decreased by 30%. What is the net increase or decrease percent in the original number(nearest to an integer)?

Radha marks her goods 25% above the cost price. She sells 35% of goods at the marked price, 40% at 15% discount and the remaining at 20% discount. What is her overall percentage gain?

Chord AB of a circle is produced to a point P, and is a point onthe circle such that PC is a tangent to the circle. If PC = 18 cm, and BP = 15 cm, then AB is equal to:

One of the factors of $$(8^{2k} + 5^{2k})$$, where k is an odd number, is:

The internal and external radii of a hollow hemispherical vessel are 6 cm and 7 cm respectively. What is the total surface area (in cm$$^2$$) of the vessel?

When the price of an item was reduced by 25%, then its sale was increased by x% . If there is an increase of 20% in the receipt of the revenue, then the value of x will be:

In a constituency, 55% of the total number of voters are males and the rest are females. If 40% of the males are illiterate and 40% of the females are literate, then by what percent is the number of literate males more than that of illiterate females?

From the top of a tower, the angles of depression of two objects on the ground on the same side of it, are observed to be $$60^\circ$$ and $$30^\circ$$ respectively and the distance between the objects is $$400 \surd3$$ m. The height (in m) of the tower is: