SSC CGL Tier l 2023 Question Paper Shift 2 (July 18th)

If the areas of two similar triangles are in the ratio 196 : 625,what would be the ratio of the corresponding sides?

If $$\sec \theta + \tan \theta = 5$$, then find the value of $$\tan \theta$$.

The ratio of the length of each equal side and the third side of an isosceles triangle is 3 : 5. If the area of the triangle is $$30\sqrt{11}  cm^{2}$$, then the length of the third side (in cm) is:

In a factory, utensils are manufactured in three plants, plant A, B and C. How many plates are manufactured by plant B if total plates are 3260?

The value of $$\left(\frac{1}{\sin \theta} + \frac{1}{\tan \theta}\right)\left(\frac{1}{\sin \theta} - \frac{1}{\tan \theta}\right)$$ is:

The percentage profit earned by selling an article for ₹2,000 is the same as the percentage loss incurred by selling the same article for ₹1,200. At what price should that article be sold to make a profit of 20%?

Which number among 24963, 24973, 24983 and 24993 is divisible by 7?

Simplify the following:
$$\sin 2x + 2 \sin 4x + \sin 6x$$

If 405 : y :: y: 125, and y > 0, then find the value of y.

A policeman follows a thief who is 600 m ahead of the policeman. If the policeman and the thief run at speeds of 10 km/h and 8 km/h, respectively, in how much time (in minutes), will the policeman catch the thief?