SSC GD 27th Jan 2023 Shift 3

A stock of food is enough for 315 men for 48 days. For how many days the same stock of food is enough, if 45 more men join?

Find the value $$\frac{\frac{1}{6} \div \frac{1}{6} \times \frac{1}{6}}{\frac{1}{6} \div \frac{1}{6} of \frac{1}{6}} - \frac{1}{36}$$.

The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder is 8.8 cm, then the height of the cone is:

An electric geyser is sold at Rs.7,100 after reducing Rs.244 in addition to two successive discounts of 15% and 4% on the marked price. Find the marked price (in Rs.) of the geyser.

The third proportional to $$a^{3} + b^{3}$$ and $$a^{2} + ab + b^{2}$$, when a = 2 and b= 3 is:
(correct to 2 decimal places)

A melon in the shape of a sphere having the radius of 9 cm is cut into two equal hemispheres. Find the volume (in $$cm^{3}$$, rounded off to 2 decimal places) of each half. (Take $$\pi = \frac{22}{7}$$)

An article is marked at Rs.7,500 and available at a discount of 12%. The shopkeeper gives another off-season discount to the buyer and sell the article for Rs.5,400. Find the off-season discount. (Correct to two decimals places.)

A dishonest dealer professes to sell his goods at the cost price but uses a false weight of 950 g instead of 1 kg. What is his gain percentage?

A lady goes from home to office at a speed of 40 km/h, and returns back at a speed of 70 km/h. What is her average speed during the journey?

Find the square of the sum of the digits of the smallest number divisible by both 18 and 24.