SSC CGL Tier l 2023 Question Paper Shift 4 (July 24th)
For the following questions answer them individually
Simplify:
$$220 + 80 \div \left[63 - \left\{ 7 \times 8 + \left(13 - 2 \times 4\right)\right\}\right]$$
A boat covers a distance of 80 km downstream in 8 h while it takes 10 h to cover the same distance upstream. What is the speed (in km/h) of the boat in still water?
simplify the given expression.
$$\frac{1 + \sin^{4} \theta + \cos^{4} \theta}{\cos^{2} \theta + \sin^{4} \theta}$$
Dharmendra can row 80 km upstream and 110 km downstream in 13 hours. Also, he can row 60 km upstream and 88 km downstream in 10 hours. What is the speed (in km/h) of the current?
In an examination a candidate had to sit for three papers A, B, and C. The candidate secured 75% marks in Paper A, 80% marks in Paper B, and 60% marks in Paper C. If the weightage assigned to Papers A, B, and C were 40%, 50% and 10%, respectively, then find the weighted percentage of marks obtained by the candidate, when all the three papers were taken together.
Study the given pie-chart carefully and answer the following question.
What is the total amount (in Rs.) used by the school for the payment?
If $$\left(4y - \frac{4}{y} = 13\right)$$, find the value of $$\left(y^{2} + \frac{1}{y^{2}}\right)$$.
In the given figure, chords XY and PQ intersect catch other at point L. Find the length of XY (in cm).
A person marks his goods x% above the cost price and allows a discount of 12% on the marked price. If his profit is 10%, then the difference between x% and the profit percentage is:
Two equal circles of radius 18 cm intersect each other, such that each passes through the centre of the other. The length of the common chord is ____________.
