SSC CGL Tier l 2023 Question Paper Shift 4 (July 20th)

In a $$\triangle ABC, DE \parallel BC$$, where D is a point on AB and E is a point on AC. If DE divides the area of $$\triangle ABC$$ into two equal parts, then $$DB : AB$$ is equal to:

Simplify: $$[0.08 - \left\{3.5 - 4.9 - (12.5 - 7.8 - 4.6)\right\}]$$

In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm. If one angle is $$\theta$$, then $$\tan \theta$$ is equal to:

The width of a rectangle is 2 m less than its length. If the perimeter of the rectangle is 68 m, then what is the length (in metres) of the rectangle?

Pipe A can fill a tank in 12 minutes; pipe B can fill it in 18 minutes, while pipe C can empty the full tank in 36 minutes. If all the pipes are opened simultaneously, how much time will it take to fill the empty tank completely?

A vertical pole of 28m height casts a 19.2m long shadow. At the same time, find the length of the shadow cast by another pole of 52.5m height.

Find the value of $$\frac{\cos 41}{\sin 49} + \frac{\sin 51}{\cos 39}$$.

The cost price and selling price of rice are the same. Due to a faulty weighing machine, the seller earns a 15% profit. If Rs. x is the cost price of 1000 gm rice and the machine is changed which shows 1000 gm instead of 950 gm, what should be the selling price (in ₹) now to get the same percentage of profit?

The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 200%, 300% and 300%, respectively. Then compared to the original volume, the increase in the volume of the cuboid will be:

A boat's speed in still water is 45 km/h, while the river is flowing at a speed of 15 km/h. The time taken to cover a certain distance upstream is 9 h more than the time taken to cover the same distance downstream. Find the distance (in km).