P and Q start a shop with a capital of ₹1,50,000 and ₹4,50,000 respectively. After a year, out of the profit of ₹1,60,000 P gets his share of profit plus some money that is not a part of the profit, as his salary. If P gets a total of ₹70,000, what is the salary (in ₹) he received?
If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then find the value of
\[ \sqrt[4]{x^{3} + y^{3} + z^{3} + xyz} \]
If 5sinθ − 4cosθ = 0, 0° < θ < 90°, then find the value of
\[ \frac{5\sin\theta - \cos\theta}{5\sin\theta + 3\cos\theta} \]
\(\dfrac{2}{7}\)
\(\dfrac{3}{7}\)
\(\dfrac{6}{7}\)
\(\dfrac{4}{7}\)
General English
Select the most appropriate synonym of the given word.
Succulent
Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
Many a man has succumbed to his temptations.
Select the option that can be used as a one-word substitute for the given group of words.
Sharpness and accuracy of judgment