The Beat The GMAT Forum - Expert GMAT Help & MBA Admissions Advice

To solve this PS, the best way is to bring everything you know on the notepad. So you need to use the Prime Numbers less than 30. Primes 01 to 10: 2, 3, 5. 7 11to 20: 11, 13, 17, 19 21 to 30: 23, 29 Now you need to use 4 distinct primes and you have to create the largest possible integer. So take 29...

by Nirav Umaretiya: Sat Sep 12, 2020 11:09 pm; Forum: Problem Solving; Topic: What is the greatest integer that is a sum of four different prime numbers, each less than 30?; Replies: 2; Views: 656

Jump to post

If positive integers $q$ and $r$ are both even, which of the following must be odd?

Problem Solving

Re: If positive integers $q$ and $r$ are both even, which of the following must be odd?

You can solve this one by using the method of elimination. In that, you need to try to eliminate the option by all means and if you can't eliminate, that one is the answer. A) q- r so, even - even = even i.e. 4 - 2 = 2 (Eliminate) B) $\frac{q}{r}$ so $\frac{even}{even}$ = even i.e. \(\frac{4}{2}...

by Nirav Umaretiya: Sat Sep 12, 2020 10:56 pm; Forum: Problem Solving; Topic: If positive integers $q$ and $r$ are both even, which of the following must be odd?; Replies: 1; Views: 462

Jump to post

Which of the following is the least positive integer that is divisible by each of the integers from 2 through 5, inclusi

Problem Solving

Re: Which of the following is the least positive integer that is divisible by each of the integers from 2 through 5, inc

From the properties of divisibility tests, you can derive that for a number to be divisible by 2 to 5 inclusive, it must be divisible by 3,4,5. But if you are not comfortable with divisibility tests, just use the method of elimination and you will be able to get the correct answer. A) 30 Divisible b...

by Nirav Umaretiya: Sat Sep 12, 2020 10:44 pm; Forum: Problem Solving; Topic: Which of the following is the least positive integer that is divisible by each of the integers from 2 through 5, inclusi; Replies: 1; Views: 675

Jump to post

If $a$ and $b$ are distinct prime numbers, which of the following could be the product of $a$ and $b?$

Problem Solving

Re: If $a$ and $b$ are distinct prime numbers, which of the following could be the product of $a$ and $b?$

Start with factorization, ideally for this question one should not need a notepad A) 4 = 2 x 2 (two primes, but not distinct, eliminate) B) 5 = 5x1 (it self a prime, no other distinct prime factor, eliminate) C) 10 = 2 x 5 (Correct, two primes, also distinct) D) 11 = 11 x 1 (it self a prime, no othe...

by Nirav Umaretiya: Sat Sep 12, 2020 10:33 pm; Forum: Problem Solving; Topic: If $a$ and $b$ are distinct prime numbers, which of the following could be the product of $a$ and $b?$; Replies: 1; Views: 421

Jump to post

Given this system of equations, what is the value of $|p| + |q|?$

Problem Solving

Re: Given this system of equations, what is the value of $|p| + |q|?$

For this PS we will be applying substitution method. 5p - 3q = 42 So, 5p = 42 + 3q Substituting the value of 5P in the 2nd equation 5p + 3q = 18 So, 42 + 3q + 3q = 18 So, q = -4 Substituting the value of q in the 2nd equation 5p + 3q = 18 So, 5p + 3(-4) = 18 So, p=6 now, |p| + |q| = |6| + |-4| = 6 +...

by Nirav Umaretiya: Sat Sep 12, 2020 10:29 pm; Forum: Problem Solving; Topic: Given this system of equations, what is the value of $|p| + |q|?$; Replies: 1; Views: 479

Jump to post

Jerry and Ross decided to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 meters

Problem Solving

Re: Jerry and Ross decided to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 me

Jarry runs at 5mps so he would take
$\frac{1000\ meters}{5\ Seconds}$ + 60 seconds of rest = 200 + 60 = 260 seconds

Ross runs at 4mps so he would take
$\frac{1000\ meters}{4\ Seconds}$ = 250 senconds

So Ross wins the rase (Monika will be so proud to know )

The correct answer is B

by Nirav Umaretiya: Sat Sep 12, 2020 10:21 pm; Forum: Problem Solving; Topic: Jerry and Ross decided to have a footrace. They run 1,000 meters. Jerry runs 5 meters per second, and Ross runs 4 meters; Replies: 2; Views: 590

Jump to post

If $a^2b$ is an integer which of the following must be an integer?

Problem Solving

Re: If $a^2b$ is an integer which of the following must be an integer?

In this one, we need to approach the PS with the elimination method. In that, we need to prove that a $a^2b$ can be an integer without the given option being an integer. But even before that, you can easily eliminate B and D , with help or an exponent property. That only case where $n^2$ be is a...

by Nirav Umaretiya: Sat Sep 12, 2020 10:14 pm; Forum: Problem Solving; Topic: If $a^2b$ is an integer which of the following must be an integer?; Replies: 2; Views: 850

Jump to post

What is the area of quadrilateral $ABCD$ above?

Problem Solving

Re: What is the area of quadrilateral $ABCD$ above?

There are two ways to solve this one, You could divide the figure into a rectangle + right angle triangle or You may apply the formula of areal of a trapezoid Let's do the 1st one first. You could divide the figure into a rectangle + right angle triangle Area Area of the rectangle + Area of the righ...

by Nirav Umaretiya: Sat Sep 12, 2020 9:45 pm; Forum: Problem Solving; Topic: What is the area of quadrilateral $ABCD$ above?; Replies: 2; Views: 592

Jump to post

If a set of numbers consists of $10, 15, 0, 3,$ and $x,$ and the range of the set is $30,$ what are the possible

Problem Solving

Re: If a set of numbers consists of $10, 15, 0, 3,$ and $x,$ and the range of the set is $30,$ what are the possib

The range is the difference b/w smallest and the largest values of the set. To make the range 30, x could take only 2 values -45 or 30 The median is the middlemost value of the set when the numbers are arranged in ascending (or descending) order. Arranging the constants in ascending order, We get 0,...

by Nirav Umaretiya: Sat Sep 12, 2020 9:33 pm; Forum: Problem Solving; Topic: If a set of numbers consists of $10, 15, 0, 3,$ and $x,$ and the range of the set is $30,$ what are the possible; Replies: 2; Views: 449

Jump to post

If a set of numbers consists of $10, 15, 0, 3,$ and $x,$ and the range of the set is $30,$ what are the possible

Problem Solving

Re: If a set of numbers consists of $10, 15, 0, 3,$ and $x,$ and the range of the set is $30,$ what are the possib

by Nirav Umaretiya: Sat Sep 12, 2020 9:31 pm; Forum: Problem Solving; Topic: If a set of numbers consists of $10, 15, 0, 3,$ and $x,$ and the range of the set is $30,$ what are the possible; Replies: 2; Views: 449

Jump to post

If $\dfrac2{x+1}=\dfrac1{x-1},$ for $x \ne 1$ and $x \ne -1,$ then $x =$

Problem Solving

Re: If $\dfrac2{x+1}=\dfrac1{x-1},$ for $x \ne 1$ and $x \ne -1,$ then $x =$

It's a simple arithmetic problem

$\dfrac2{x+1}=\dfrac1{x-1}$

So, 2(x-1) = 1(x+1)

So, 2x - 2 = x + 1

So, x = 3

Correct ans is E

by Nirav Umaretiya: Sat Sep 12, 2020 9:19 pm; Forum: Problem Solving; Topic: If $\dfrac2{x+1}=\dfrac1{x-1},$ for $x \ne 1$ and $x \ne -1,$ then $x =$; Replies: 2; Views: 595

Jump to post

In the figure above, the equilateral hexagon $ABCDEF$ is inscribed in the circle with center $G,$ which has a diamet

Problem Solving

Re: In the figure above, the equilateral hexagon $ABCDEF$ is inscribed in the circle with center $G,$ which has a di

This PS tests if you know the sum of all angles of a hexagon. The formula for the sum of angle of an n-sided polygon is = 180 (n-2) So the sum of the angles of the hexagon is 180 (6-2) = 180 (4) Now, since it is an equilateral polygon, each of its angles is going to be equal. Thus \(\frac{180\ \left...

by Nirav Umaretiya: Sat Sep 12, 2020 9:11 pm; Forum: Problem Solving; Topic: In the figure above, the equilateral hexagon $ABCDEF$ is inscribed in the circle with center $G,$ which has a diamet; Replies: 1; Views: 519

Jump to post

An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses...

Problem Solving

Re: An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses...

This is an easy one but a time stealer, so make sure you don't make a silly arithmetic mistake. Now Soft Pair (SP) is sold at $ 150 and Hard Pair (HP) is sold at $ 85 She sold 5 more SP than the HP so SP - HP = 5 ... ... ... (1) (Difference of the number is 5, SP is more) and she made a revenue of $...

by Nirav Umaretiya: Sat Sep 12, 2020 8:47 pm; Forum: Problem Solving; Topic: An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses...; Replies: 2; Views: 615

Jump to post

Mary purchased 3 theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases...

Problem Solving

Re: Mary purchased 3 theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases...

In this PS, they are testing the basics of Statistics. Mary purchased the 3 tickets whose average is 8. They have not mentioned the price of these tickets. $\frac{x+y+z}{3}$ = 8 We don't need that either. We just need to know that ---> x+y+z = 8(3) = 24 Now she purchased a 4th ticket of $16, so th...

by Nirav Umaretiya: Sat Sep 12, 2020 8:31 pm; Forum: Problem Solving; Topic: Mary purchased 3 theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases...; Replies: 1; Views: 503

Jump to post

For which of the following values of x is the mode of

Problem Solving

Re: For which of the following values of x is the mode of

In this PS, the best way is to go by the 'Trial & Error' method. Remember, there will only be one correct answer, so if you get the answer, don't waste time in calculating other options. Option A = 2 2x = 2(2) = 4 x+5 = 2+5 = 7 3x-2 = 3(2)-2 = 4 5x-7 = 5(2)-7 = 3 4x = 4(2) = 8 The mode is clearl...

by Nirav Umaretiya: Sat Sep 12, 2020 8:22 pm; Forum: Problem Solving; Topic: For which of the following values of x is the mode of; Replies: 1; Views: 422

Jump to post

Search found 15 matches