## Search found 5549 matches

#### $$(3\cdot 10^{20})(3\cdot 10^{-5})=$$

##### Re: $$(3\cdot 10^{20})(3\cdot 10^{-5})=$$

Vincen wrote:
Mon Oct 19, 2020 8:56 am
$$(3\cdot 10^{20})(3\cdot 10^{-5})=$$

A. $$9\cdot 10^{-100}$$

B. $$1\cdot 10^{-4}$$

C. $$9\cdot 10^{-4}$$

D. $$1\cdot 10^{15}$$

E. $$9\cdot 10^{15}$$

Solution:

Simplifying, we have:

(3 x 3) x (10^20 x 10^(-5))

9 x 10^15

by Scott@TargetTestPrep

Tue Oct 27, 2020 10:09 am
Forum: Problem Solving
Topic: $$(3\cdot 10^{20})(3\cdot 10^{-5})=$$
Replies: 1
Views: 39

#### $$9^k\cdot 27^{2k}=$$

##### Re: $$9^k\cdot 27^{2k}=$$

Vincen wrote:
Mon Oct 19, 2020 9:05 am
$$9^k\cdot 27^{2k}=$$

A. $$3^{5+3k}$$

B. $$3^{8k}$$

C. $$3^{11k}$$

D. $$3^{12k}$$

E. $$3^{12k^2}$$

Solution:

Rewriting both 9 and 27 as powers of 3, we have:

(3^2)^k * (3^3)^(2k) = 3^(2k) * 3^(6k) = 3^(8k)

by Scott@TargetTestPrep

Tue Oct 27, 2020 10:09 am
Forum: Problem Solving
Topic: $$9^k\cdot 27^{2k}=$$
Replies: 1
Views: 34

#### Jennifer can buy watches at a price of $$B$$ dollars per watch, which she marks up by a certain percentage before sellin

##### Re: Jennifer can buy watches at a price of $$B$$ dollars per watch, which she marks up by a certain percentage before se

Jennifer can buy watches at a price of $$B$$ dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of $$T$$ by selling $$N$$ watches, then in terms of $$B$$ and $$T$$ and $$N,$$ what is the percent of the markup from her buy price to her sell pric...

#### $$(\sqrt{5+\sqrt5}-\sqrt{5-\sqrt5})^2=$$

##### Re: $$(\sqrt{5+\sqrt5}-\sqrt{5-\sqrt5})^2=$$

$$(\sqrt{5+\sqrt5}-\sqrt{5-\sqrt5})^2=$$ A. $$10-4\sqrt5$$ B. $$10-2\sqrt5$$ C. $$20-8\sqrt5$$ D. $$20-4\sqrt5$$ E. $$20-2\sqrt5$$ Answer: A Solution: Let A = √(5 + √5) and B = √(5 - √5) and recall that (A - B)^2 = A^2 - 2AB + B^2. So here, we have: A^2 = 5 + √5 B^2 = 5 - √5 and AB = √(5 + √5) * √(...

by Scott@TargetTestPrep

Tue Oct 27, 2020 10:06 am
Forum: Problem Solving
Topic: $$(\sqrt{5+\sqrt5}-\sqrt{5-\sqrt5})^2=$$
Replies: 1
Views: 25

#### If the area of a circle is $$64\pi,$$ then the diameter of the circle is

##### Re: If the area of a circle is $$64\pi,$$ then the diameter of the circle is

If the area of a circle is $$64\pi,$$ then the diameter of the circle is (A) $$8$$ (B) $$16$$ (C) $$32$$ (D) $$8\pi$$ (E) $$16\pi$$ Answer: B Source: GMAT Paper Tests Solution: Letting r be the radius of the circle, we have: πr^2 = 64π r^2 = 64 r = 8 Since the radius of the circle is 8, the diamete...

#### In which of the following choices must $$a$$ be less than $$b?$$

##### Re: In which of the following choices must $$a$$ be less than $$b?$$

In which of the following choices must $$a$$ be less than $$b?$$ (A) $$4^{-2b}=4^{-a}$$ (B) $$-4^b<4^a$$ (C) $$4^{-b} < 4^{-a}$$ (D) $$4^{-b}>4^{-a}$$ (E) $$4^{-b}=4^{-2a}$$ Answer: C Source: Princeton Review Solution: Recall that if x > 1, then x^m ≥ x^n if and only if m ≥ n (and the ≥ sign can be...

by Scott@TargetTestPrep

Tue Oct 27, 2020 10:04 am
Forum: Problem Solving
Topic: In which of the following choices must $$a$$ be less than $$b?$$
Replies: 1
Views: 28

#### In a certain class, $$x$$ students are $$10$$ years old, and the remaining $$y$$ students are $$11$$ years old. What is

##### Re: When (\6\) is multiplied by $$x,$$ the result is the same as when $$x$$ is added to (\9.\) What is the value of

When $$6$$ is multiplied by $$x,$$ the result is the same as when $$x$$ is added to $$9.$$ What is the value of $$\dfrac{x}3?$$ A. $$\dfrac25$$ B. $$\dfrac35$$ C. $$\dfrac65$$ D. $$\dfrac85$$ E. $$\dfrac95$$ Answer: B Solution: We can create the equation: 6x = x + 9 5x = 9 x = 9/5 Thus x/3 is (9/5)...

#### In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many managers in total

##### Re: In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many managers in to

In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many managers in total are there? A. 18 B. 24 C. 60 D. 66 E. 98 Answer: E Solution: We can let the number of managers = n and create the equation: 3/7 * n = 42 N = 42 * 7/3 = 14 * 7 = 98 Answer: E

#### In a certain fund, $$40$$ percent of the money is invested in stocks, and of that portion, $$20$$ percent is invested in

##### Re: In a certain fund, $$40$$ percent of the money is invested in stocks, and of that portion, $$20$$ percent is investe

In a certain fund, $$40$$ percent of the money is invested in stocks, and of that portion, $$20$$ percent is invested in preferred stocks. If the mutual fund has $$\576$$ invested in preferred stocks, what is the total amount of money invested in the fund? A. $$\960$$ B. $$\1440$$ C. $$\2880$$ ...

#### If $$\dfrac1{x}+\dfrac13+\dfrac14=1,$$ then $$x =$$

##### Re: If $$\dfrac1{x}+\dfrac13+\dfrac14=1,$$ then $$x =$$

VJesus12 wrote:
Tue Oct 20, 2020 2:39 am
If $$\dfrac1{x}+\dfrac13+\dfrac14=1,$$ then $$x =$$

A. $$2$$

B. $$\dfrac{24}{11}$$

C. $$\dfrac{12}5$$

D. $$5$$

E. $$6$$

Solution:

Multiplying the equation by 12x, we have:

12 + 4x + 3x = 12x

12 = 5x

12/5 = x

by Scott@TargetTestPrep

Tue Oct 27, 2020 9:04 am
Forum: Problem Solving
Topic: If $$\dfrac1{x}+\dfrac13+\dfrac14=1,$$ then $$x =$$
Replies: 1
Views: 42

#### If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$

##### Re: If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$

VJesus12 wrote:
Tue Oct 20, 2020 2:53 am
If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$

A. 18
B. 24
C. 36
D. 48
E. 60

Solution:

Multiplying the equation by 12, we have:

4x + 3x + 180 = 12x

180 = 5x

36 = x

by Scott@TargetTestPrep

Tue Oct 27, 2020 8:29 am
Forum: Problem Solving
Topic: If $$\dfrac{x}3+\dfrac{x}4+15=x,$$ then $$x =$$
Replies: 2
Views: 54

#### $$1-\left(\frac12-\frac23\right)$$

##### Re: $$1-\left(\frac12-\frac23\right)$$

VJesus12 wrote:
Tue Oct 20, 2020 2:56 am
$$1-\left(\frac12-\frac23\right)$$

(A) $$\dfrac65$$

(B) $$\dfrac76$$

(C) $$\dfrac67$$

(D) $$\dfrac56$$

(E) $$0$$

Source: GMAT Paper Tests
Solution:

Simplifying, we have:

1 - (3/6 - 4/6) = 1 - (-1/6) = 6/6 + 1/6 = 7/6

Topic: $$1-\left(\frac12-\frac23\right)$$