SSC CGL 13th Dec 2022 Shift-3

If, $$\frac{r}{13} + \frac{13}{r} = 1$$ then the value of $$r^3$$ is:

If $$\frac{a}{b} + \frac{b}{a} = -1$$ and a - b = 2, then the value of $$a^3 - b^3$$ is:

A person borrowed ₹2,000 at 5% annual simple interest repayable in 3 equal annual installments. What will be the annual installment?

Two persons A and B working separately can sanitise a building in 6 and 10 hours, respectively. They work in stretches of one hour alternately. If A begins at 8 a.m., then when will the work be finished?

The area of two similar triangles are 324 cm$$^2$$ and 289 cm$$^2$$, respectively. What is the ratio of their corresponding altitudes?

The pie-chart shows marks of a student in different subjects out of 100.

The marks scored in Hindi and Mathematics are more than the marks scored in English and Science by:

Train A running at 81 km/h takes 72 sec to overtake train B, when both the trains are running in the same direction, but it takes 36 sec to cross each other if the trains are running in the opposite direction. If the length of train B is 600 metres, then find the length of train A. (in metres)

An airplane goes 14 km due east and then 48 km due north. How far is it from its initial position?

If $$\triangle ABC \cong \triangle PQR$$ and $$\triangle ABC = (x + 60)^\circ, \triangle PQR = (85 - 4x)^\circ$$, and $$\triangle RPQ = (3x + 65)^\circ$$, then the value of $$\triangle ABC$$ in degree is:

If the number 6788934a4 is divisible by 11,then find the smallest whole number in the place of a.