SSC CGL Tier-2 8th August 2022 Maths
For the following questions answer them individually
x, y and z are distinct prime numbers where x < y < z. If x + y + z = 70, then what is the value of z?
ABC is a right angle triangle and angle ABC = 90 degrees. BD is a perpendicular on the side AC. What is the value of $$BD^2$$?
A, B and C sianed a business with ihe investment on ₹ 100000, ₹ 140000 and ₹ 200000 respeciively. After 3 months, C left the business. 7 months after C left the business, B also left the business. B and C took their investments with them. At the end of the year, C received his share of profit as ₹ 1155. What is the total share of profits of A and B?
The cost of a diamond is directly proportional to the square of its weight.The cost of a 14 gm diamond is ₹ 2560. This diamond got broken down into two pieces in the raiio of 5 : 9. How much loss percent is incurred due to this breakage? (Correct to two decimal places)
Marked price of an a1iicle is ₹ 28000. It can be sold at one of the following ways:
Way A : A single discount of 24 percent.
Way B: Two successive discounts of 16 percent and 10 percent.
Which way , will have lowest selling price and what will be the value of it?
The bar chart given below shows the number of boys and girls in 5 schools.
If the number of boys in school S6 are 30 percent more than the number of girls in school S1, then number of girls in schools S3 and S4 is what percentage of number of boys in schools S6 and S1?(correct to two decimal places)
Price of rice is decreased by 25 percent and therefore a person can purchase 30 kg more rice in the same expenditure. If expenditure is ₹ 5400, then what was the original price of rice per kg?
If the digits of a two digit number is reversed, then the number is decreased by 36. Which of the following is correct regarding the number?
I. The difference of the digits is 4.
II. The value of number can be 84.
III. Number is always a composite number.
If xy = -6 and $$x^3 + y^3 = 19$$ (x and y are integers), then what is the value of $$\frac{1}{x^{-1}} + \frac{1}{y^{-1}}$$?
