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Hi, Hexagon is a six-sided polygon. Regular polygon means all sides and all angles are equal. So regular hexagon is a 6-sided polygon with all sides and all angles are equal. There are six equilaterals triangles with side length as “2�. Area of an equilateral triangle = (√3/4)*(side)^2 = (√3...

by Byjus

Mon Nov 19, 2018 1:36 am
Forum: Problem Solving
Topic: What is the area of a regular hexagon with side-length 2?
Replies: 2
Views: 573

Hi, Of the 230 single-family homes built in city X last year how many were occupied at the end of the year? Looking at both the statement, we may think that they are sufficient, see right away but the statements only give us information about the occupancy of single-family homes in city X. None of t...

by Byjus

Fri Nov 16, 2018 10:38 pm
Forum: GMAT Math
Topic: OG DS
Replies: 2
Views: 1357

Hi, This question tests the basic rule of L.C.M and H.C.F Rule: If “x� and “y� are two numbers, then Product of two numbers = Product of their L.C.M and H.C.F i.e., (x*y) = (L.C.M(x,y) * H.C.F(x,y)). Given in this question, Two numbers are “a� and “b�. Statement I insufficient: The L...

by Byjus

Thu Oct 25, 2018 11:31 pm
Forum: Data Sufficiency
Topic: If a and b are two positive numbers, what is the product of
Replies: 4
Views: 909

Hi, Yes, this is a very popular question in GMAT. Using simple logic we can solve this question in few seconds, For example, 5 divided by 2, the remainder is 1 and but 5/2 = 2.5 One thing, we can notice above is we get 2.5 because 2 is the quotient and .5 is the value when the remainder is divided b...

by Byjus

Fri Oct 19, 2018 1:45 am
Forum: Problem Solving
Topic: When positive integer N is divided by positive integer J,
Replies: 5
Views: 807

answer

Hi, It’s a straight forward question. Given, x is positive and y = x^2 + 1 y = x^2 +1 x^2 = y-1 x = sqrt(y-1) So the answer is D. OR We can try numbers too. If x = 1 then y = 2. When we substitute y = 2 in the answer choices we should get “x� value as 1. A. y^2 – 1 = 4 – 1 = 3. Eliminate. ...

by Byjus

Fri Oct 12, 2018 1:41 am
Forum: Problem Solving
Topic: If x is positive and y is 1 more than the square of x, then
Replies: 2
Views: 589

answer

Hi, Basic knowledge of slopes and intercepts of line is required to solve this question. Remember: We can always draw and visualize and co-ordinate geometry question to solve it faster. Given: Line K has negative slope, If the line k is not passing through the origin and has negative slope then the ...

by Byjus

Fri Sep 14, 2018 2:12 am
Forum: Data Sufficiency
Topic: In the xy-plane, if line k has negative slope, is the
Replies: 3
Views: 1042

Hi, Given function, 1/n*(n+1) = 1/n – 1/(n+1), For patterns and sequences questions all we need to do is find initial few values and we will get to understand the pattern to solve the question. 1/(1*2) = 1/1 – ½ 1/(2*3) = ½ - 1/3 1/(3*4) = 1/3 – ¼ We can clearly see that, adding the first t...

by Byjus

Fri Sep 14, 2018 1:32 am
Forum: Problem Solving
Topic: If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/(
Replies: 4
Views: 1618

Hi, This is a question which tests the maximum power concept in a factorial. i.e., Counting the number of 5’s in a factorial. 50! = 50 * 49 * 48 * 47 * 46 * 45 * ……3 * 2 *1. To count 5’s we can see that multiples of 5 is what we need to focus, but we need to be careful some multiples of 5’...

by Byjus

Mon Sep 10, 2018 9:08 pm
Forum: Problem Solving
Topic: If n is the greatest positive integer for which 5^n is a fac
Replies: 4
Views: 916