For the following questions answer them individually
If a : b : : b : c, and b = 96, then which of the following can be a possible pair of values of a and c?
Which of the following is a FALSE statement?
$$7.5 \times 17.2 \div 8.6 + (59.5) of \frac{1}{17} - \frac{7}{2} of 5 = ?$$
A thief is chased by a policeman and distance between them is 3 km. The speed of policeman is 75 km/h and the speed of the thief is 60 km/h. The policeman will be able to catch the thief when the thief would have covered the distance of _________ km.
The average weight of 15 persons is increased by 1.2 kg when one of them whose weight is 51 kg is replaced by a new man. The weight of the new man is:
The following expression is equal to.
$$\cot 85^\circ + \cos 75^\circ$$
If $$x + y + z = 4$$ and $$x^2 + y^2 + z^2 = 12$$, then find $$xy + yz + xz$$.
If $$\left(5y + \frac{5}{y}\right) = 11$$, find the value of $$\left(y^2 + \frac{1}{y^2}\right)$$.
$$\frac{2 \tan A}{1 + \tan^2 A} = ?$$
Find the value of $$\sin(50 + \theta) - \cos(40 - \theta)$$.
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