SSC CGL 9th Dec 2022 Shift-3

If $$\triangle ABC \cong \triangle PQR, BC = 6$$ cm and $$\angle A = 75^{\circ}$$ , then which one of the following is trne?

A thief running at speed of ‘x’ km/h is chased by a policeman running at a speed of 10 km/h. If the thief is ahead by 100 metres, the policeman catches the thief after 3 minutes. At what speed is the thief running (‘x’ being the unknown speed)?

A person covers a certain distance by bus at 45 km/h and immediately returns to the starting point by car at a speed of 80 km/h. What is his average speed during the whole journey?

The table given below shows the cost of two fruits in five different shops.

What is the difference between the cost of fruits A and B in all five shops together?

If $$\sin \theta = \frac{8}{17}$$, where 0 is an acute angle, then what is the value of $$\tan \theta + \cot \theta$$?

In a certain shop, the profit is 130% of the cost. If the cost increases by 28% and the selling price remains constant, then what is the profit percentage to the nearest whole number?

The table given below shows the number of boys and girls in a school in 6 years.

What is the ratio of number of boys in year A and C together to the number of girls in year E and F together?

If $$\sin^{2} \theta \cos^{2} \theta =\frac{2}{9}$$,then what will be the value of $$\cosec^{2} \theta + \sec^{2} \theta$$ ?

The side of an equilateral triangle is 36 cm. What is the radius of the circle circumscribing this equilateral triangle?

The value of $$\frac{146 \times 146 \times 146 - 143 \times 143 \times 143}{146 \times 146 + 146 \times 143 + 143 \times 143}$$ is: