SSC CPO 4th Oct 2023 Shift 2

Find the value of $$\sqrt{\cfrac{1 - \tan A}{1 + \tan A}}$$.

If the diameter of a sphere is reduced to its half, then the volume would be:

The HCF of 3888 and 3969 is:

Which is the smallest natural number that is exactly divisible by each of 96, 108 and 144?

Find the HCF of 240, 280 and 560.

The following table shows the number of mobile phones sold by four different stores in four different years.

Find the difference between the number of mobile phones sold by store Q in 2013 and store S in 2015.

The table below shows the production of jute fabric (in lakh metre) by two Companies P and Q during 2001 to 2005.

In which year/years, did Company Q produce more fabric than Company P?

A car, during its entire journey of 5 hours, travels the first 45 minutes at a certain speed, the next 75 minutes at a speed of 85 km/h, and the last 3 hours at a speed of 70 km/h. During its entire journey, the average speed of the car is found to be 73 km/h.
What is the speed (in km/h) of the car during the first 45 minutes?

Peter invested a certain sum of money in a scheme paying 10% simple interest per annum, while Rachel invested half of the sum that Peter invested in a scheme paying 10% interest per annum compounded annually. Also, while Peter invested for 2 years, Rachel invested for 3 years. If the difference in the interest earned by Peter and Rachel was ₹897, what was the sum that Rachel had invested?

The price of almonds is increased by 10%. By what percentage should the consumption be decreased so that the expenditure remains the same?