SSC CGL 20th August 2021 Shift-2

What is the sum of the digits of the largest five digit number which is divisible by 5, 35, 39 and 65?

Study the following table and answer the question:
Percentage of marks obtained by six students in five subjects A, B, C, D & E.

The total marks obtained by Anuj in all the five subjects are ?

Points P and Q are on the sides AB and BC respectively of a triangle ABC, right angled at B. If AQ = 11 cm, PC = 8 cm, and AC = 13 cm, then find the length (in cm) of PQ.

A shopkeeper sold two items. The selling price of the first item equals the cost price of the second item. He sold the first item at a profit of 20% and the second item at a loss of 10%. What is his overall profit’ loss percent?

What price (in ₹) should Radha mark on a bag which costs ₹1680 so as to earn a profit of 25% after allowing a discount of 16% on the marked price?

If $$\frac{x}{y} + \frac{y}{x} = 2, (x, y \neq 0)$$, then the value of $$(x - y)$$ is:

The data given in the table shows the number of students studying in 4 different disciplines in 5 institutes. Study the table and answer the question:

What is the ratio of number of students studying Science in institutes C and D taken together to the number of students studying Computer Science in institutes A and E taken together?

Points A, D, C, B and E are concyclic. If $$\angle$$AEC = 50$$^\circ$$ and $$\angle$$ABD = 30$$^\circ$$, then what is the measure(in degrees) of  $$\angle$$CBD?

If $$2 \cos^2 \theta - 5 \cos \theta + 2 = 0, 0^\circ < \theta < 90^\circ$$, then the value of $$(\sec \theta + \tan \theta)$$ is:

If $$(56\sqrt{7}x^3-2\sqrt{2}y^3)\div(2\sqrt{7}x-\sqrt{2}y)=Ax^2+By^2-Cxy$$, then find the value of $$A + B - \sqrt{14}C$$.