For the following questions answer them individually
If $$\tan^{2} A- 6 \tan A + 9 = 0, 0 < A < 90^{\circ}$$, what is the value of $$6 \cot A + 8\sqrt{10} \cos A$$?
If $$6\sqrt{6}p^{3} + 2\sqrt{2}q^{3} = \left(\sqrt{6}p+\sqrt{2}q)(Sp^{2}+ Mq 2 -Mq^{2}-Npq\right)$$, then the positive value of $$\sqrt{S^{2} + M^{2} + 2N^{2}}$$ is:
What is the average of the first six prime numbers?
The total surface area of a right pyramid, with base as a square of side 8 cm, is 208 $$cm^{2}$$. What is the slant height (in cm) of the pyramid?
P and Q completed a work together and were paid ₹1,080 and ₹1,440, respectively. If P can do the entire work in 20 days, how many days did they take to complete the work together?
Select the option that can be used as a one-word substitute for the given group of words.
A spear used for hunting large fish
Select the most appropriate synonym of the given word.
Triumphant
Select the most appropriate antonym of the given
admirable
The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Holiday homework / are essential to keeping / students busy / during the vacation.
Select the most appropriate option to fill in the blank.
So dangerous did the weather conditions ______ that all mountain roads were closed.
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