For a certain article, if discount is 25% the profit is 25%. If the discount is 10%, then the profit is

The external bisector of ∠B and ∠C of ΔABC

(where AB and AC extended to E and F respectively) meet at point

If ∠BAC = 100°, then the measure of ∠BPC is

If a² + b² + c² + 3 = 2 (a + b + c) then the value of (a + b + c) is

If cos x + cos y = 2, the value of sin x + sin y is

What is the value of positive square root of $(69+$ $28 sqrt{5}$ )?

If $heta$ be acute angle and $cos heta=frac{15}{17}$, then the value of $cot left(90^{circ}- heta ight)$ is

One flies a kite with a thread 150 metre long. If the thread of the kite makes an angle of 60° with the horizontal line, then the height of the kite from the ground (assuming the thread to be in a straight line) is

The product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchanging the digits.What is the original number?

What is the value of $sin left(frac{11 pi}{6} ight) ?$

If $frac{1}{mathrm{~N}}=frac{(sqrt{6}+sqrt{5})}{(sqrt{6}-sqrt{5})}$, what is the value of $mathrm{N} ?$

If the length of the diagonal of a cube is $8 sqrt{3}$ cm, then its surface area is

If sinC – sinD = x, then the value of x is

A boy added all natural numbers from 1 to 12, however he added one number twice due to which the sum becomes 80. What is the number which he added twice?

If sinx .cosy + cosx.siny = 1, then the value of x + y will be

3¹¹ + 3¹² + 3¹³ + 3¹⁴ is divisible by _____.

If a train runs at 40 km/hour, it reaches its destination late by 11 minutes. But if it runs at 50 km/hour, it is late by 5 minutes only. The correct time (in minutes) for the train to complete the journey is

If the numerical value of the perimeter of an equilateral triangle is $sqrt{3}$ times the area of it, then the length of each side of the triangle is

Two line segments PQ and RS intersect at X in such a way that XP = XR. If ∠PSX = ∠RQX, then one must have

What smallest value must be added to 508, so that the resultant is a perfect square?

What will be the angle between the lines $y-x-7$ $=0$ and $sqrt{3} y-x+6=0$ ?

Sister can bake 50 cakes in 25 hours, Sister and Mummy together can bake 75 cakes in 15 hours. How many cakes Mummy can bake in 15 hours ?

The following Pie-chart shows the land distribution of a housing complex. If the total area of the complex is 5 acres, examine the pie chart and answer the questions.

The ratio of area allotted for residential and road purpose is

Land allotted for green zone is greater than that for commercial purpose by

The total land allotted for residential and commercial purpose is

The percentage of the total area allotted for water body and green zone together is