SSC CGL 13th August 2021 Shift-2

Ina class of 90 students 60% are girls and remaining are boys. Average marks of boys are 63 and thatofgirls are 70. What are the average marks of the whole class?

ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If $$\angle BEC = 138^\circ$$ and $$\angle ECD = 35^\circ$$, then what is the measure of $$\angle BAC$$?

In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and $$\angle OBA = 60^\circ$$. If $$\angle DOC = 60^\circ$$, then what is the length of BC (in cm)?

The ratio of two numbers A and is 5 : 8. If 5 is added to each of A and B, then the ratio of A and B becomes 2 : 3. The sum of A and B is:

Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by :

The value of $$3 \div of 3 \times 6 - 22 \times 6 \div 18 - 3 \div 2 + 10 - 3 \div 9 of 3 \times 9$$ is:

Therate of simple interest for first two years is 8% p.a., for the next 4 years,it is 10% p.a. and for the period beyond 6 years,it is 12% p.a. Ifa person gets ₹18358.60 as simple interest after 9 years, then how much money (in ₹)did he invest?

If $$x - y = 11$$ and $$\frac{1}{x} - \frac{1}{y} = \frac{11}{24}$$, then the value of $$x^3 - y^3 + x^2y^2$$?

Surbhi sold an article for ₹ 176 after giving 12%discount on its marked price. Had she not given any discount; she would have earned a profit of 25%, Whatis the costprice (in ₹) of the article?

In $$\triangle ABC, D$$ and are the points on sides AB and AC,respectively such that $$\angle ADE = \angle B$$. If AD = 7 cm, BD = 5 cm and BC = 9 cm, then DE (in cm) is equal to: