SSC CHSL 3rd June 2022 Shift-2

If a - b =3 and $$a^3 - b^3 = 999$$, then find the value of $$a^2 - b^2$$.

A seller combines 26 kg of rice priced at ₹20 per kg with 30 kg of rice priced at ₹36 per kg and sells the mixture for ₹30 per kg. What is the percentage of profit he makes?

A man offers a 21% discount on an item. He offers a further discount of 40% on the reduced price for the first 100 customers. If the selling price of the item is ₹4,740, and the customer is one of the frist 100 then the marked price (in ₹) of the item is

Which of the following numbers is NOT divisible by 36?

Find the volume of a solid hemisphere whose radius is 6.3 cm.(Use $$\pi = \frac{22}{7}$$)

In one-sixth of the time that B takes to complete a piece of work, A can complete half of the same work. If working together they take 16 days to complete the work, how much time shall B take to complete it alone?

If $$1 + \tan \theta = \sqrt{3}$$, then $$\sqrt{3} \cot \theta - 1 =$$ __________

The price of an article is reduced by 30% but the daily sale of the article increased by 35%. The net percentage effect on the daily sale receipts is:

The value of $$52 - 5[2 + 3{2 - 2(5 - 3) + 5} - 10] \div 8$$ is:

A dealer had 120 kg of wheat. A part of it was sold by him at 10% gain and the rest at 25% gain. overall, he had a gain of 15%. How much of the wheat was sold at 10% gain?