SSC CGL Tier-2 8th August 2022 Maths

A sum of ₹ 1250 has to distributed among A, B, C and D. Total share of B and D is equal to (14/11) of total share of A and C. Share of D is half of share of A. Share of C is 1.2 of share of A. What are the shares of A, B, C and D respectively ?

A alone can do 2/5 of a work in 12 days. B is 25 percent more efficient than A. C alone can do the same work in 12 days less than B. D is 25 percent less efficient than C. If they all work together, then the work will be completed in how many days?

ABCD is a quadrilateral. The length of diagonal AC is 24 cm. The sum of perpendicular drawn from vertex B and D on the diagonal AC is 10 cm. What is the area of the quadrilateral?

Raju spends 10 percent and 20 percent of his income on transport and food respectively. He spends 30 percent of the remaining income on clothing . He saves rest of his income. If his saving is ₹ 26460, then what will be total expendinture on food and clothing together?

An article is sold for ₹ 54120 after two successive discounts of 12 percent and 18 percent. What is the marked price of the article?

Which of the following is equal to $$\left[\frac{\cos \theta}{\sin \theta} + \frac{\sin \theta}{\cos \theta}\right]$$?

A mixture of acid and water contains 20 percent acid. When 10 litres of water is added to the mixture, then the percentage of acid becomes 15 percent. What is the original quantity of mixture?

Average age of 7 students of a class is 28 years. Average age of first three students is 30 years. Age of fourth student is 4 years less than the age of fifth student. Ages of last two students is same and is 5 more than the average age of first three students. What is the average age of fourth and fifth student?

The base of a right prism is an equilateral triangle whose side is 10 cm. If height of this prism is $$10\sqrt{3}$$ cm, then what is the total surface area of prism?

If a + b = 6 and ab = 5, then what is the value of $$a^3 + b^3$$?