SSC CHSL 13th October 2020 Shift-1
For the following questions answer them individually
If $$A = 2(\sin^6 \theta + \cos^6 \theta) - 3(\sin^4 \theta + \cos^4 \theta)$$ then the value of $$3 \alpha$$ such that $$\cos \alpha = \sqrt{\frac{3 + A}{5 + A}}$$ is:
If $$117 \cos^2 A + 129 \sin^2 A = 120$$ and $$170 \cos^2 B + 158 \sin^2 B = 161$$, then the value of $$\cosec^2A \sec^2B$$ is:
A person purchases 40 items at ₹10 each. He sells a part of them at 25% profit and the remaining at 10% loss. The net profit is 4% in this transaction. The number of items he sold at a loss, is:
A cylindrical vessel with radius 6 cm and height 5 cm is to be made by melting a number of spherical metal balls of diameter 2 cm. The minimum number of balls needed is:
A sum of ₹12,000 was taken at simple interest at some rate. After four months, ₹6,000 more was added and the total principal was charged at double the earlier rate of interest. At the end of the year,if the total interest was ₹2,800, what was the initial rate of interest?
In the given figure, if AC, DE are parallel and $$\angle$$CAB = 38$$^\circ$$, then the value of $$\angle$$ABC + 5$$\angle$$CBD is:
The average of 35 consecutive natural numbers is N. Dropping the first 10 numbers and including the next 10 numbers, the average is changed to M. If the value of M$$^2$$ - N$$^2$$ = 600, then the average of 3M and 5N is:
If the given figure, $$\angle$$ACB + $$\angle$$BAC = 80$$^\circ$$; $$\angle$$BDE = 35$$^\circ$$; $$\angle$$BCE = 45$$^\circ$$, then the marked angle $$\angle$$CED is:
The following graph gives the performance of five students A, B, C, D, E in Math, Physics and Chemistry.
Based on the given information - considering that a performance is based on the difficulty level of the paper, which of the following statements is correct?
A man purchased a car for ₹12 lakhs and was insured for 80% of the cost. He sold the car at a 15% loss, but had not yet delivered it to the buyer when he met with an accident. After the accident, the car was damaged a lot and the insurance company paid 90% of the insured amount. The net difference in the two transactions is:
