SSC GD 29th Nov 2021 Shift-3

The sum of the ages of A, B and C is 66 years. The ratio of the age of A to the combined ages of B and C is 5 : 6. The ratio of the age of B to the combined ages of A and C is 4 : 7. What is the age (in years) of C?

Simplify $$\frac{2\frac{3}{4}}{1\frac{5}{6}} \div \left(\frac{1}{3} + \frac{1}{4}\right) + \frac{5}{7} \div \frac{3}{4} of \frac{3}{7} - \frac{5}{4} of \frac{3}{5}$$.

The ratio of the income of A and B is x:y. If the income of A is increased by 20% and the income of B is decreased by 25%, then the ratio will be 64:45. Find out the value of x:y.

k is the smallest number of 5-digits, which when divided by 18, 24, 30, 40 and 42, leaves a remainder 7 in each case. The sum of the digits of k is:

A path of uniform width of 5 m runs around the outside of a rectangular field 30 m long and 25 min breadth. What is the area (in $$m^{2}$$) of the path?

What is the amount (in ₹) obtained by investing a sum of ₹18,000 at $$13\frac{1}{3}\%$$ p.a. for $$2\frac{2}{4}$$ years, if the interest is compounded 9-monthly?

A lent ₹10,000 to B for 3 years on compound interest at 10% per annum compounded annually. C lent the same amount for the sanme period to D at 11% simple interest. Who gained more at the end of 3 years and how much?

A certain sum amounts to ₹14,160 in 3 years at 6% per annum. at simple interest. What will be the simple interest on the same sum in $$4\frac{2}{3}$$ years at the same rate of interest?

A shopkeeper marked an item at ₹4,000. He earns a profit of 20% after selling it with a 10% discount on the marked price. If he sells it at a price of ₹100 less than the marked price, then what is his profit percentage?

Nine solid metallic spheres of radius 2.5 cm each are melted and recast into a solid cylinder of height 7.5 cm. The curved surface area (in $$cm^{2}$$) of the cylinder is: