SSC CHSL 14th March 2023 Shift-3
For the following questions answer them individually
Student A got 25 marks more than the student B and the marks of A were equal to the 60 percent of the sum of their marks. What are the marks obtained by A and B respectively?
If $$x^{2} + \frac{1}{x^{2}} = 4$$, then what is the value of $$x^{4} + \frac{1}{x^{4}}$$
In an equilateral triangle STU, inradius is $$5\surd{3}$$cm . What is the length of side of this equilateral triangle?
The table given below shows the sales of two companies in 5 years.
Which of the following statement is correct?
I. The ratio of combined sales of P in years A and B to that of combined sales of Q in years D and E is 1 : 2.
II. The sales of P in year C is 300% of the sales of Q in year D.
If $$\sqrt{2}\sec^{2} \theta - 4 \sec \theta + 2\sqrt{2} = \theta$$, then what is the value $$\sin^{2}\theta + \tan^{2}\theta$$ ?
M is the incentre of the $$\triangle XYZ$$. If $$\angle YXZ + \angle YMZ = 150$$ degree, then what is the value of $$\angle YXZ$$?
10 Consecutive numbers are given. If the average of the two numbers given in the middle is 13.5, then what is the sum of the first 6 numbers?
If $$a + b + c = 6$$ and $$a^{2} , b^{2} , c^{2} = 40$$, then what is the value of $$a^{3} + b^{3} + c^{3} - 3abc$$?
At what rate of compound interest (Compounding annually) per annum will a sum of Rs.1,000 become Rs.1,060.90 in 2 years?
