For the following questions answer them individually
If $$4Sin^2\theta-1=0$$ and angle$$\theta$$ is less than $$90^\circ$$. Then the value of $$Cos^2\theta + tan^2\theta$$ is:
Take $$(0^0<\theta<90^0)$$
The radius of base and curved surface area of a right cylinder is ‘r’ units and $$4\pi rh$$ square units respectively. The height of the cylinder is:
Out of 10 teachers of a school, one teacher retires and in place of him a new teacher 25 yrs of old joins. As a result of it average age of the teachers reduces by 3 years. Age of the retired teacher (in year) is:
The marked price is 10% higher than the cost price. A discount of 10% is given on the marked price. In this kind of sale, the seller
A train passes two bridges of lengths 500m and 250m in 100 seconds and 60 seconds respectively. The length of the train is:
The amount on ₹ 25000 in 2 years at annually compound interest, if the rates for the successive years be 4% and 5% per annum respectively is:
If the angle of elevation of the sun changes from $$45^0\ to\ 60^0$$, then the length of the shadow of a pillar decreases by 10m. The height of the pillar is:
The sum of two numbers is 75 and their difference is 25. The product of the two numbers is:
The value of the following is:
$$(2-\frac{1}{3})(2-\frac{3}{5})(2-\frac{5}{7}).........(2-\frac{997}{999})$$