SSC CGL 23rd August 2021 Shift-1

If the 5 - digit number 593ab is divisible by 3, 7 and 11, then whatis the value of $$(a^2 - b^2 + ab)$$?

In $$\triangle$$ABC, $$\angle$$A = 50$$^\circ$$. If the bisectors of the angle B and angle C, meet at a point O, then $$\angle$$BOC is equal to:

Find the value of $$\frac{\tan^2 30^\circ}{\sec^2 30^\circ} + \frac{\cosec^2 45^\circ}{\cot^2 45^\circ} - \frac{\sec^2 60^\circ}{\cosec^2 60^\circ}$$

In an examination, the average score of a student was 67.6. If he would have got 27 more marks in Mathematics, 10 more marks in Computer Science, 18 more marks in History and retained the same marks in other subjects, then his average score would have been 72.6. How may papers were there in the examination?

If $$2x^2 - 7x + 5 = 0$$, then what is the value of $$x^3 + \frac{125}{8x^3}$$?

Simplify the following expression:
$$7 \times 4 \div 21  \text{of}   4 - 5 \div 4 \times (9 - 13) + 2 - 2 \div 8$$

In triangle ABC, AD is the bisector of $$\angle A$$. If AB = 5 cm, AC = 7.5 cm and BC = 10 cm, then whatis the distance of D from the mid-point of BC (in cm)?

A fruit merchant bought some bananas. Onefifth of them got rotten and were thrown away. Hesold two fifth of the bananas with him at 15% profit and the remaining bananasat 10% profit. Find his overall loss or profit percent?

Vertices A, B, C and D of a quadrilateral ABCD lie on a circle. $$\angle$$A is three times $$\angle$$C and $$\angle$$D is two times $$\angle$$B. What is the difference between the measures of $$\angle$$D and $$\angle$$C?

Table shows income(in Rs) received by 4 employees of a company during the month of December 2020 and the income sources.

Whose income from all sources except salary is more than 25% of his salary?