For the following questions answer them individually
Find the value of given expression.
$$[76 - {90 \div 5 \times (24 - 36 \div 3) \div 3}]$$
Products pass successively through the hands of three traders and each of them sells his goods at a profit of 30% of his cost price. If the last trader sold the products for Rs.300, then how much did the first trader pay for them?
What is the total surface area of a pyramid whose base is a square with side 8 cm and height of the pyramid is 3 cm?
The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.
What is the simplified form of the expression $$(1 + x)(1 + x^{2})(1 + x^{4} )(1 + x^{8} )(1 - x)$$?
If the areas of two similar triangles are in the ratio 196 : 625, what would be the ratio of the corresponding sides?
A speaks the truth 5 out of 7 times and B speaks truth 8 out of 9 times. What is the probability that they contradict each other in stating the same fact?
There are two inlets A and B connected to a tank. A and B can fill the tank in 32 h and 28 h, respectively. If both the pipes are opened alternately for 1 h, starting with A, then in how much time (in hours, to nearest integer) will the tank be filled?
Two candidates contested an election.One of them got 64% of the votes and won by 434 votes.What was the total number of votes polled?
From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was $$60^{\circ}$$. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?
