SSC CGL Tier l 17th July 2023 Shift-4

If ($$x + \frac{1}{x}) = 10$$ what is the value of ($$x^{4} + \frac{1}{x^{4}}$$)?

A dealer marks his goods at 20% above the cost price and allows a discount of 15% on the marked price. What is his gain or loss percentage?

A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:

In the given figure. if AD $$\perp$$ BC, AC = 26 units, CD = 10 units, BC = 42 units, $$\angle DAC = x$$, and $$\angle B = y$$, then the value of $$\frac{6}{\cos x} - \frac{5}{\cos y} + 8 \tan y$$ is:

A sector of a circle of radius 10 cm is formed at 60° angle at the centre. What will be its area (take $$\pi = 3.14$$)?

A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are $$\frac{3}{2}$$ cm and 2 cm, respectively. Find the diameter of the third ball.

A part of a journey is covered in 37.5 minutes at 90 km/h and the remaining part in 14 minutes at 80 km/h. The total distance (in km) of the journey is:

20 students of a college went to a hotel. 19 of them spent ₹175 each on their meal and the $$20^{th}$$ student spent ₹19 more than the average of all the 20. Find the total money spent by them.

Money was lent on simple interest. After 12 years, its simple interest becomes $$\frac{3}{5}$$ of the money. Find the rate of interest.

Simplify the expression.

$$\frac{3.35^{2} - 1.25^{2}}{3.35 + 1.25}$$=?