SSC CGL 8th Dec 2022 Shift-3
For the following questions answer them individually
Which of the following will satisfy $$a^{2} = b^{2} + (ab)^{2}$$ for the values a and b?
7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
$$\theta = 135^{\circ}; γ = 15^{\circ}$$.
What is the value of $$2 \cos(\theta) \sin(γ)$$?
If $$abc = 5$$, what is the value of $$\left(\frac{1}{1 + a + b^{-1}} + \frac{1}{1 + b + 5 c^{-1}} + \frac{1}{1 + \frac{c}{5} + a^{-1}}\right)$$?
If $$\sec x - \cos x = 4$$, then what will be the value of $$\frac{(1+\cos^{2} x)}{\cos x}$$?
Study the given graph and table and answer the following question.
Data of different states regarding population of states in the year 1998
Total population of the given states = 32760000
What was the ratio of the number of females in Arunachal Pradesh to the number of females in Uttar Pradesh ?
The radius of a circle is 5 cm. Calculate the length of a tangent drawn to this circle from a point at a distance of 10 cm from its centre.
A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?
A certain amount will become six times in 20 years. How long does it take for the same amount to become 5 times? Assume the same rate of simple interest in each case.
