For the following questions answer them individually
If $$\frac{3^{a + 3} \times 4^{a + 6} \times 25^{a + 1}}{27^{a - 1} \times 8^{a - 2} \times 125^{a + 4}} = \frac{4}{15^{26}}$$, then the value of $$\sqrt{a + 9}$$ is:
The value of $$5\sqrt{3} + 7\sqrt{2} - \sqrt{6} - \frac{23}{\sqrt{2} + \sqrt{3} + \sqrt{6}}$$ is:
A man takes a loan of some amount at some rate of simple interest. After three years, the loan amount is doubled and rate of interest is decreased by 2%. After 5 years,if the total interest paid on the whole is ₹13,600, which is equal to the same when the first amount was taken for $$11\frac{1}{3}$$ years, then the loan taken initially is:
Which of the following values suits for A to make the equation $$\frac{A \tan 62^\circ \sec 28^\circ \cot 38^\circ}{\cosec 62^\circ \tan 11^\circ } = 1$$ true?
In the given figure, ifAD = 3, DE = 4, AB = 12, BF = 2, FG= 6, BC = 10, then the value of $$\frac{M}{N}$$ is:
(Assume: M is the area of the quadrilateral FGDE andN is the area ofthe triangle ABC.)
A crate of fruits contains one spoiled fruit for every 25 fruits. 60% of the spoiled fruits were sold. If the seller had sold 48 spoiled fruits, then the number of fruits in the crate were:
In the given figure, the ratio of the area of the largest square to that of the smallest square is:
The following bar graph shows the marks (out of 100) of students A, B, C, D, E and in the subjects mentioned.
Based on this, only 2 students crossed the average marks in the subject: