SSC CGL 18th August 2021 Shift-3

Study the table and answer the question.
The data given in the table shows the number of students studying in four different disciplines in 5 institutes.

Number of students studying commerce in institute D is what percent of the total number of students of the 5 institutes?

In $$\triangle ABC, AB$$ and AC produced to points D and E respectively. If the bisectors of angle CBD and angle BCE meet at point O, such that $$\angle BOC = 63^\circ$$, then $$\angle A = ?$$

Simplify the expression $$441 \div \left[270 \div \frac{3}{7} + \left(17 \div \frac{1}{3}\right) - \left(8\frac{1}{2} - \frac{5}{2}\right)\right]$$

Points A and B are on a circle with centre O. Point C is on the major are AB. If $$\angle OAC = 35^\circ$$ and $$\angle OBC = 45^\circ$$, then what is the measure (in degrees) of the angle subtended by the minor are AB at the centre?

The given Pie-Chart shows the degree wise breakup of expenditure of a family in a month. Total income of a family is ₹43,200.

Expenditure on food is what percent more than expenditure on rent?

Five men can complete a work in 20 days. Ten women can complete the same work in 15 days. Two men and six women started working together. After 5 days, three women left the work and a new man joined the work. The group continued working togethertill the end of the work. In how many days will they be able to do the remaining work?

A T.V. is sold at 8%gain. Hadit been sold for ₹2553 less; there would have beenloss of 15%. To gain 18%, the selling price (in ₹) of T.V. would be:

If a train runs with the speed of 72 km/h, it reaches its destination late by 15 minutes. However,if its speed is 90 km/h, it is late by only 5 minutes. The correct time to cover its journey in minutes is:

What is the length (in cm) of the smallest altitude of the triangle whose sides are 5 cm, 12 cm and 13 cm? (correct to one decimal place)

In a right angled triangle ABC, the lengths ofthe sides containing the right angle are 5 cm and 12 cm respectively. A circle is inscribed in the triangle ABC. Whatis the radius ofthe circle (in cm)?