## Search found 13 matches

##### 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**

##### 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 + \(\sqrt{3}\)

That is answer D

- 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**

##### 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**

##### 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**

##### 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**

##### 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

Hence, answer is B.

- 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**

##### 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**

#### Ronald and Sonam run a race that is 2000m long. Ronald gives Sonam a start of 200m and beats her by 30 seconds

###### Problem Solving

##### Re: Ronald and Sonam run a race that is 2000m long. Ronald gives Sonam a start of 200m and beats her by 30 seconds

Let the speeds of Ronald and Sonam in m/s be a and b respectively. We have 2 equations: 1) \(\frac{2000}{a}\) = \(\frac{1800}{b}\) - 30 2) \(\frac{1000}{a}\) = \(\frac{2000}{b}\) - 180 Solving these, we get a = \(\frac{25}{3}\) and b = \(\frac{20}{3}\) Hence, time taken will be Ronald: \(\frac{2000}...

- by terminator12

Wed Jul 29, 2020 8:49 pm- Forum: Problem Solving
- Topic: Ronald and Sonam run a race that is 2000m long. Ronald gives Sonam a start of 200m and beats her by 30 seconds
- Replies:
**2** - Views:
**328**

#### A water tank has four inlets. Through the first three inlets, the tank can be filled in 12 minutes. Through the second

###### Problem Solving

##### Re: A water tank has four inlets. Through the first three inlets, the tank can be filled in 12 minutes. Through the seco

Let the work done by inlets per hour be a, b, c and d a + b + c = 1/( \(\frac{1}{5}\) hour) = 5 b + c + d = 4 a + d = 3 Adding d to both sides of equation 1) and adding a to both sides of equation 2), we get a + b + c + d = 5 + d = 4 - a Hence, a - d = 1 Combining this with equation 3), we get a = 2...

- by terminator12

Wed Jul 29, 2020 8:39 pm- Forum: Problem Solving
- Topic: A water tank has four inlets. Through the first three inlets, the tank can be filled in 12 minutes. Through the second
- Replies:
**1** - Views:
**333**

#### 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 =

###### Problem Solving

##### 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 \(\frac{x}{y}\) = \(\frac{4}{3}\)

- by terminator12

Wed Jul 29, 2020 8:30 pm- Forum: Problem Solving
- Topic: 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 =
- Replies:
**2** - Views:
**437**

##### 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**

##### 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**

##### 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**