SSC CPO 4th Oct 2023 Shift 3

Two mixtures A and B have the following compositions:
Mixture A has copper and tin in a ratio of 1:2
Mixture B has copper and tin in a ratio of 1:3
If equal quantities of mixtures A and B are used for producing mixture C, then find the ratio of copper and tin in mixture C.

If the volume of a sphere is 38808 $$cm^{3}$$, then its surface area is:

The area of a rhombus having one side measuring 17 cm and one diagonal measuring 16 cm is:

By selling 42 m of cloth, Vijay gains the selling price of 7 m of cloth. Find the profit percentage.

Ramesh gives fifteen per cent additional discount along with a discount of 25% on the marked price of a sofa set. If the selling price of the sofa set is ₹12,750, then find the marked price of the sofa set.

Two pipes can fill a cistern in 12 hours and 16 hours, respectively. The pipes are opened simultaneously and it is found that due to leakage at the bottom, it takes 90 minutes more to fill the cistern. How much time will the leakage take to empty the completely filled tank?

A sum of money amounts to ₹1,200 in 2 years and becomes ₹1,260 in 3 years at compound interest, when interest is compounded annually. What is the rate of compound interest per annum?

Find the least value of $$16 \cosec^{2} \theta + 25 \sin^{2} \theta$$.

In a megastore, the following data reveals the units purchased during the years.
What is the percentage growth in total units purchased (of all the three products) from 2015 to 2020?

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If $$\cos A = \frac{1}{11}$$, then find the value of $$\cot A$$.