SSC CGL 5th Dec 2022 Shift-1

R jogs at twice the speed of walking and runs at twice the speed of jogging. From his home to office, he covers half of the distance by walking and the rest by jogging. From his office to home, he covers half the distance jogging and the rest by running. What is his average speed (in km/h) in a complete round from his home to office and back home if the distance between his office and home is 10 km and he walks at the speed of 5 km/h?

The ratio of the present ages of Ram and Ramesh is 3 : 5. After 7 years the ratio of their ages will be 4 : 5. Find the present age of Ramesh.

If $$k^{4} + \frac{1}{k^{4}} = 47$$, then what is the value of $$k^{3} + \frac{1}{k^{3}}$$?

Ram sold a plot for Rs.4,00,000 at a 20% loss. For what price should he sell the plot to gain a 5% profit?

The HCF of two numbers 110 and 1980 is:

The simplified form of $$(x + 2y)^{3} + (x - 2y)^{3}$$ is:

In how much time will a sum of Rs. 5250 amounts to Rs. 9870 at the rate of 11 percent per annum at simple interest?

The table given below shows the production of bike and truck by five companies.

What is the ratio of the production of truck by company H and I together to the production bike by company J and K together?

If $$\sin \theta + \cos \theta = \frac{\sqrt{3}-1}{2\sqrt{2}}$$, then what is the value of $$\tan \theta + \cos \theta$$

In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm then what is BD : BC ?