The three altitudes of a triangle have lengths 20, 40 and n, where n is a positive integer. How many different possible values of n are there?

Countdown to CAT 2020|DAY 126|LRDI Four friends Akhil, Bhrigu, Chinmay and Dhruv went for an excursion with their wives Priya, Ritu, Shreya and Veen...

(1/5)1 = 2/10 = 0.2 => same as the last digit of 21(1/5)2 = 1/25= 4/100 = 0.04 => same as the last digit of 22(1/5)3 = 1/125 = 8/1000 = 0.008 =...

assume the cost of article = C 15% loss = .85c =x 15% profit = 1.15c= y now (y-x)/(y+x) = (1.15-0.85)/(0.85+1.15) = 0.3/2 = 3/20

We can write the number as N = 195k + 47 195k is divisible by 15 , so net remainder when N is divided by 15 will be same as the remainder obtained w...

Let the total number of students be x. So, 93.75% of x is an integer. 93.75% of x = 15/16 of x . Smallest possible value of x for which 15/16 of x is...

For minimum p, q should be minimum that is 0. so p +1 will be divisible by 1 , p + 2 will be divisible by 2 , p + 3 will be divisible by 3 and so ...

Alternate Approach : For least number of tiles side of the square tiles should be maximum. side of the square = HCF (54, 90) = 18 Number of squares = ...

Hi Nancy Take the HCF of 54 and 90. HCF ( 54 and 90) = 18 So we can put 54/18 i.e 3 square tiles in one direction and 90/18 i.e 5 square tiles in anot...

Use option - elimination.

First runner reaches the starting point every two hour Second runner reaches the starting point every four hour The third runner reaches the starting ...

3x2 – 7x – 6 < 0. 3x2 – 9x - 2x – 6 < 0.3x ( 3x -2) -2( x-3) < 0.( 3x – 2) ( x-3) <0 2/3 3___+ve____...

PFA the solution 🙂