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The value of \( \sin^2 80^\circ + \cos^2 80^\circ \) is

\( \cot 63^\circ \) is same as

From the top of light house, 120 feet above the sea level, the angle of depression of the boat is \( 60^\circ \). How far is the boat from the light house ?

If a pyramid has a slant height of 8 cm and square base of side 4 cm, then its lateral surface area is

In what ratio is wheat costing ₹ 72 per kg to be mixed with wheat costing ₹ 57 per kg to produce a wheat mixture costing ₹ 63 per kg ?

How many solutions do \( 5x + 3y = 14 \) and \( 15x + 9y = 42 \) have ?

If total price of 10 kgs of banana is ₹ 475, then the average price per kg of banana is

A car can cover 90 km in 3 hours. If its speed is increased by 15 kmph, then the time taken by it to cover the same distance is

If \( x^2 + y^2 = 13 \) and \( x + y = 5 \), then \( xy = \)

The quotient obtained when \( a^3 - b^3 \) is divided by \( a - b \) is