## Search found 13 matches

#### What is the $$LCM$$ of $$x$$ and $$12?$$

##### Re: What is the $$LCM$$ of $$x$$ and $$12?$$

Statement 1: 45 = $${3^2}$$*5 9 = $${3^2}$$ Hence, x = 5*$${3^a}$$ where a = 0, 1 ,2 x can be 5, 15, 45 Hence, this statement is insufficient. Statement 2: 20 = $${2^2}$$*5 4 = $${3^2}$$ Hence, x = 5*$${2^a}$$ where a = 0, 1 ,2 x can be 5, 10, 20 Hence, this statement is insufficient. Combining both...

by terminator12

Thu Jul 30, 2020 7:20 pm
Forum: Data Sufficiency
Topic: What is the $$LCM$$ of $$x$$ and $$12?$$
Replies: 1
Views: 458

#### What is the perimeter of the triangle above?

##### Re: What is the perimeter of the triangle above?

tan $${30^o}$$ = $$\frac{1}{\sqrt{3}}$$ = $$\frac{1}{base}$$

Hence, base = $$\sqrt{3}$$

Applying pythagoras theorem,
hypoteneuse = $$\sqrt{1\ +\ \left(\sqrt{3}\right)^2}$$ = 2

Hence, perimeter is 3 + $$\sqrt{3}$$

by terminator12

Thu Jul 30, 2020 7:12 pm
Forum: Problem Solving
Topic: What is the perimeter of the triangle above?
Replies: 2
Views: 471

#### Is $$x > 0 ?$$

##### Re: Is $$x > 0 ?$$

Statement 1: xy > 0 That can mean that either both are positive or both are negative. Hence, insufficient. Statement 2: x + y > 0 That can mean: i) both are positive ii) x is positive, y is less negative iii) x is negative, y is more positive Hence, this is insufficient. Combining both statements: W...

by terminator12

Thu Jul 30, 2020 7:08 pm
Forum: Data Sufficiency
Topic: Is $$x > 0 ?$$
Replies: 1
Views: 381

#### By how many years is Jason older than Allison?

##### Re: By how many years is Jason older than Allison?

Let the current ages of Jason, David and Allison be j, d and a respectively. Statement 1: j = 6 + 2d No information of a, hence clearly insufficient. Statement 2: a + 8 = 2d No information of j, hence clearly insufficient. Combining both statements, we get: j - a = 14 Hence, Jason is 14 years older ...

by terminator12

Thu Jul 30, 2020 6:05 pm
Forum: Data Sufficiency
Topic: By how many years is Jason older than Allison?
Replies: 1
Views: 384

#### What is the $$X$$ intercept of non-horizontal line $$m?$$

##### Re: What is the $$X$$ intercept of non-horizontal line $$m?$$

Consider a line: y = mx + c Slope = m X intercept (when y = 0) = $$\frac{-c}{m}$$ Y intercept (when x = 0) = c Statement 1: m = 4*c We see $$\frac{-c}{m}$$ = $$\frac{-1}{4}$$ Hence, this is sufficient. Statement 2: c = -2 We have no information on m Hence, this is insufficient. Hence, answer is A.

by terminator12

Thu Jul 30, 2020 6:00 pm
Forum: Data Sufficiency
Topic: What is the $$X$$ intercept of non-horizontal line $$m?$$
Replies: 2
Views: 580

#### $$\dfrac{(6.804)^6\cdot(1.701)^{-13}}{2^{19}\cdot(3.402)^{-7}}=$$

##### Re: $$\dfrac{(6.804)^6\cdot(1.701)^{-13}}{2^{19}\cdot(3.402)^{-7}}=$$

Let 1.701 be x

Hence, the equation becomes:
$$\frac{\left(4x\right)^6\cdot\left(2x\right)^7}{2^{19}\cdot x^{13}}$$

We see the powers of 2 and x cancel off in numerator and denominator and we remain with 1

by terminator12

Thu Jul 30, 2020 5:53 pm
Forum: Problem Solving
Topic: $$\dfrac{(6.804)^6\cdot(1.701)^{-13}}{2^{19}\cdot(3.402)^{-7}}=$$
Replies: 2
Views: 575

#### What is the value of $$x?$$

##### Re: What is the value of $$x?$$

Statement 1: We see 2 important points here: -2 and 2 let's make ranges about these points: 1) x < -2 - x - 2 = 2(-x + 2) x = 6 2) -2 < x < 2 x + 2 = 2(-x + 2) x = $$\frac{2}{3}$$ 3) x + 2 = 2(x - 2) x = 6 Hence, we have 2 different values of x. Hence, insufficient. Statement 2: Says x > 2 Clearly i...

by terminator12

Thu Jul 30, 2020 5:48 pm
Forum: Data Sufficiency
Topic: What is the value of $$x?$$
Replies: 1
Views: 348

#### A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is 3/7, then x/y =

##### Re: A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is 3/7, then x/y =

Probability of selecting red chip = $$\frac{y}{x+\ y}$$ = $$\frac{3}{7}$$

Solving this, we get $$\frac{x}{y}$$ = $$\frac{4}{3}$$

#### Percentage

##### Re: Percentage

Good question! Initially, the mileage was 20. That means pure petrol gives mileage of 20 So, kerosene gives mileage of 4 Let the % of petrol filled by the motorist be x, and % of kerosene filled be (1-x) 20*x + 4*(1-x) = 16 We get x = 75% Old cost to the gas station (C) = 100%*p New cost to the gas ...

by terminator12

Wed Jul 29, 2020 8:25 pm
Forum: GMAT Math
Topic: Percentage
Replies: 3
Views: 10290

#### Divisibility

##### Re: Divisibility

The way to solve these kinds of questions is: Divide 1,000,000 by 43 and find the remainder. Then subtract the remainder from 43, and add the result to 1,000,000 1,000,000 = 43 x 23,255 + 35 43 - 35 = 8 Adding 8 to 1,000,000 gives 1,000,008 Hence, answer is B You may also notice that: 1,000,008 = 43...

by terminator12

Tue Jul 28, 2020 9:50 pm
Forum: GMAT Math
Topic: Divisibility
Replies: 2
Views: 8649

#### Data Sufficiency

##### Re: Data Sufficiency

So the number x is of the format nnnn 1) Sum of the digits = 4n (which is divisible by 4, hence even) 2) Product of the digits = $$n^4$$ If n=even, product will be even. If n=odd, product will be odd. So, we can't be sure of this one. 3) To be divisible by 12, the number must be divisible by both 3 ...

by terminator12

Tue Jul 28, 2020 9:21 pm
Forum: GMAT Math
Topic: Data Sufficiency
Replies: 3
Views: 8950