SSC CHSL 13th October 2020 Shift-1
For the following questions answer them individually
SSC CHSL 13th October 2020 Shift-1 - Question 51
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:
SSC CHSL 13th October 2020 Shift-1 - Question 52
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:
SSC CHSL 13th October 2020 Shift-1 - Question 53
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:
SSC CHSL 13th October 2020 Shift-1 - Question 54
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:
SSC CHSL 13th October 2020 Shift-1 - Question 55
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?
SSC CHSL 13th October 2020 Shift-1 - Question 56
In the given figure, if AC, DE are parallel and $$\angle$$CAB = 38$$^\circ$$, then the value of $$\angle$$ABC + 5$$\angle$$CBD is:
SSC CHSL 13th October 2020 Shift-1 - Question 57
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:
SSC CHSL 13th October 2020 Shift-1 - Question 58
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:
SSC CHSL 13th October 2020 Shift-1 - Question 59
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?
SSC CHSL 13th October 2020 Shift-1 - Question 60
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:
