SSC CHSL 8th June 2022 Shift-2
For the following questions answer them individually
If $$sin\ \theta=\frac{12}{13},0<\theta<90^{0}$$, then $$\frac{sin^{2}\ \theta-cos^{2}\ \theta}{2sin\ \theta\ . cos\ \theta}\times\frac{1}{tan^{2}\ \theta}=$$ ________.
What is the value of the following expression?
$$2^{2}(\frac{x^{a}}{x^{b}})^{(a+b)}\times3^{2}(\frac{x^{b}}{x^{c}})^{(b+c)}\times6^{-2}(\frac{x^{c}}{x^{a}})^{(a+c)}$$
The average weight of each box in a consignment of 20 boxes of mangoes and 15 boxes of apples is 30 kg. If the average weight of a box of mangoes is 35 kg, then what is the average weight of a box of apples?
The average runs of a cricket player in 20 matches is 30. If the average of the first 12 matches is 40, find the average of the last 8 matches.
The following table shows the number of students of seven colleges participating in extra-curricular activities. Study the table and answer the question that follows.
The colleges in which the minimum number of students participate in extra-curricular activities are:
The ratio of the cost price to the marked price of an article is 4 ∶ 7. A discount of 25% is given on the marked price and the shopkeeper made a profit of ₹50. Find the cost price of the article.
A shopkeeper claims that he is selling sugar at Rs.27/kg which cost him Rs.30/kg, but he gives 750 grams instead of 1000 grams. What is his profit or loss percentage?
Two trains having lengths of 230 m and 240 m are 130 m apart. They start moving towards each other on parallel tracks, at speeds of 160 km/h and 200 km/h, respectively. In how much time will the trains cross each other?
