SSC GD 17th Nov 2021 Shift-1

The value of $$\frac{33}{40} + \frac{1}{5} \left[\frac{4}{5} - \frac{1}{5} \times \left(\frac{7}{8} - \frac{5}{4}\right)\right] - \frac {4}{5}$$ is:

THe valu of $$\frac{\left(251\right)^{3} + \left(249\right)^{3}}{25.1\times25.1-624.99+24.9\times24.9}$$ is $$5 \times 10^{k}$$, where the value of k is:

A shopkeeper buys a table fan marked at ₹2,600 on 18% discount. He marked it for ₹2,800 and allows a 15% discount. How much does he earn?

A can do a certain work in 15 days. B is 10% less efficient than A, and C is 10% more efficient than A. All the three work together for 3 days. The remaining work is completed by D alone in $$9\frac{1}{2}$$ days. D alone can complete the original work in:

Pipes A and B can empty a full tank in 15 minutes and 20 minutes, respectively, while pipe C alone can fill the empty tank in 8 minutes. If pipes A, B and C are opened together, then in how many hours will the tank be filled?

A factory requires 56 machines to manifacture a given number of articles in 144 days. How many machines will be required to produce the same munber of articles in 96 days?

The average height of 20 students of class 8 is 152 cm and the average height of 15 students of class 9 is 168 cm. What is the average height (to the nearest cm) of the students of both classes?

A sum of ₹73,500 is divided among A, B, and D in the ratio 3 : 7 : 9 : 11. respectively. What is the sum of the shares of A and D?

Five years ago, the average age of A, B and C was 20 years. Six years ago, the average age of B and C was 9 years. What will be the age (in years) of A 3 years from now?

The difference between the heigh and the radius of a solid cylinder is 23 cm. The roral surface area of the cylinder is 1628 $$cm^{2}$$. The heigh and the radius of the cylinder, respectively, are (take $$\pi = \frac{22}{7}$$):