For 2nd problem : Each exterior angle 180 - 144 = 36 Number of sides = 360/36 = 10 Perimeter of the polygon : 10 × 12 = 120 units

Alternate Approach : Each exterior angle : 180 - 168 = 12° We know sum of all exterior angles of a polygon is always 360° So , 360/12 = 30 ex...

Sum of all interior angles = ( n -2) × 180° [(n -2) × 180° ]/n = 168° (n -2 ) × 180 = 168n 12n = 360° n = 30

Except the 7 chairs occupied by friends there will be 28 chairs and space between those chairs = 29 Select 7 spaces out of 29 in 29C7ways arrange them...

In inference based questions, the idea is to read every line and try to represent it in either another language OR using figures and shorthand i.e. yo...

Hello Richa , Any digit repeated (p-1) times is always divisible by p if p is a prime number greater than 5. So 888888 written 6 times is divisible by...

4 cases : ( 1 , 2 ) , ( 2 ,1) , (1,3) and (3,1) probability of getting 1 is : 1/5 and probability of getting 2 from the remaining 4 chips is 1/4 Hence...

Angle DAB = 90 , Angle AEB = 90 : Angles subtended by BD are equal so points A,E,B, D are concyclic points.

Let it be a square of side S. Area = S² Side S is increased by 20% so new side = 1.2S New area = 1.44S Percentage Increase = 44.

Hello Manish, p6 - p = (m2 + m + 6)(p - 1) p( p5 - 1) = (m2 + m + 6)(p - 1) p ( p4 + p3 + p2 + p + 1 )(p - 1) = (m2 + m + 6)(p - 1) p ( p4 ...

Calculate the quantity of zinc in mixture of both the alloys -10 × 1/5 + 16 × 3/4 = 14 This 14kg of zinc is 2/5 of the new alloy, hence total weight o...

Train takes 3 seconds to enter the tunnel so the distance travelled in 3s = Lenth of the train 3 x (80/3) = 80 m

Here, y need not be an integer . So maximum integral x = 27 ( when 12 > y > 11) and minimum integral x = 5 5 - 27 , 23 values

Sum of any three sides in a quadrilateral is greater than the fourth side so 4 + 8 + 16 > n 28 > n .... (1) also , 4 + 8 + n > 16 n > 4 .....

Every perfect square can be written as 5k, 5k+1 or 5k + 4 form. If x2 is in the form of 5k then x2 – 5y2 will be a multiple of 5. If x2 is in the for...