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Rank these three quantities from least to greatest.

Re: Rank these three quantities from least to greatest.

$$\rm I. \dfrac{49!}{(7^{49})^2}$$ $$\rm II. \dfrac{49!}{(7!)^2}$$ $$\rm III. \dfrac{49!}{(42!)(7!)}$$ Rank these three quantities from least to greatest. A. $$\rm I, II, III$$ B. $$\rm I, III, II$$ C. $$\rm II, I, III$$ D. $$\rm II, III, I$$ E. $$\rm III, I, II$$ Answer: B Solution: We can see th...

by Scott@TargetTestPrep

Tue Oct 27, 2020 8:27 am
Forum: Problem Solving
Topic: Rank these three quantities from least to greatest.
Replies: 1
Views: 106

A retailer sold an appliance for 30 percent above the cost, which represented a gross profit of $21.00... Problem Solving Re: A retailer sold an appliance for 30 percent above the cost, which represented a gross profit of$21.00...

Source: GMAT Paper Tests A retailer sold an appliance for 30 percent above the cost, which represented a gross profit of $21.00. For what price did the retailer sell the appliance? A.$27.30 B. $51.00 C.$63.00 D. $70.00 E.$91.00 The OA is E Solution: We can let x = the cost of the appliance, and ...

What is the difference between the sixth and the fifth terms of the sequence...

Re: What is the difference between the sixth and the fifth terms of the sequence...

Source: GMAT Paper Tests What is the difference between the sixth and the fifth terms of the sequence 2, 4, 7,. . . whose nth term is n+2^(n-1)? A. 2 B. 3 C. 6 D. 16 E. 17 The OA is E Solution: To find the sixth term, let's first substitute 6 for n. 6 + 2^(6-1)6 + 2^5 6 + 32 = 38 To find the fifth ...

If Joanie puts $$\500$$ in a savings account that earns $$10$$ percent annual interest compounded semiannually, how muc

Re: If Joanie puts $$\500$$ in a savings account that earns $$10$$ percent annual interest compounded semiannually, how

If Joanie puts $$\500$$ in a savings account that earns $$10$$ percent annual interest compounded semiannually, how much money will be in the account after one year? A) $$\51.25$$ B) $$\510$$ C) $$\550$$ D) $$\551.25$$ E) $$\565$$ Answer: D Solution: We use the compound interest formula: A = ...

If $$pq\ne 0,$$ and $$\dfrac1{p}=\sqrt{q},$$ what is the value of $$p?$$

Re: If $$pq\ne 0,$$ and $$\dfrac1{p}=\sqrt{q},$$ what is the value of $$p?$$

M7MBA wrote:
Tue Oct 20, 2020 5:55 am
If $$pq\ne 0,$$ and $$\dfrac1{p}=\sqrt{q},$$ what is the value of $$p?$$

A. $$q$$

B. $$\sqrt{q}$$

C. $$\dfrac{\sqrt{q}}{q}$$

D. $$\dfrac{1}{q}$$

E. $$\dfrac{1}{q^2}$$

Solution:

Since 1/p = √q, then p = 1/√q = √q/q.

Joey works at a clothing store and receives an employee discount of $$10$$ percent off the regular price of any item.

Re: Joey works at a clothing store and receives an employee discount of $$10$$ percent off the regular price of any item

Joey works at a clothing store and receives an employee discount of $$10$$ percent off the regular price of any item. What is the regular price of an item that Joey purchases for $$\99?$$ A. $$\89.10$$ B. $$\108.90$$ C. $$\109.00$$ D. $$\109.90$$ E. $$\110.00$$ Answer: E Solution: We can let ...

If it takes Bill 8 minutes to peel 30 potatoes, how many potatoes can he peel in one hour?

Re: If it takes Bill 8 minutes to peel 30 potatoes, how many potatoes can he peel in one hour?

If it takes Bill 8 minutes to peel 30 potatoes, how many potatoes can he peel in one hour? A. 16 B. 120 C. 144 D. 225 E. 240 Answer: D Solution: Bill can peel 30/8 x 60 = 1800/8 = 225 potatoes in one hour. Alternate Solution: We can set up a proportion: “8 minutes is to 30 potatoes as 60 minutes is...

When a company places a wholesale order on coffee cups with the company logo, they pay $$\692$$ for $$80$$ cups. When

Re: When a company places a wholesale order on coffee cups with the company logo, they pay $$\692$$ for $$80$$ cups. Wh

When a company places a wholesale order on coffee cups with the company logo, they pay $$\692$$ for $$80$$ cups. When Phil wants to buy just one such cup, it costs him $$\12.50.$$ How much above the wholesale price per cup is he paying? A. $$\0.55$$ B. $$\3.85$$ C. $$\7.35$$ D. $$\10.65$$ E. ...

A ball thrown up in the air is at a height of h feet, t seconds after it was thrown,

Re: A ball thrown up in the air is at a height of h feet, t seconds after it was thrown,

A ball thrown up in the air is at a height of h feet, t seconds after it was thrown, where $$h\ =\ -3\left(t\ -\ 10\right)^2\ +\ 250$$. What is the height of the ball once it reached its maximum height and then descended for 7 seconds A) 96 feet B) 103 feet C) 164 feet D) 223 feet E) 250 feet Solut...

On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6.

Re: On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6.

Source: Magoosh On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6. If there are 60 juniors on the team, how many students in total are on the team? A. 90 B. 140 C. 150 D. 180 E. 210 The OA is E Solution: The entire ratio can be expressed as...

If 20 percent of 3k is 6, what is 40 percent of k?

Re: If 20 percent of 3k is 6, what is 40 percent of k?

Source: Magoosh If 20 percent of 3k is 6, what is 40 percent of k? A. 4 B. 12 C. 24 D. 36 E. 72 The OA is A Solution: 0.2 x 3k = 6 3k = 6/0.2 3k = 30 k = 10 So 40 percent of 10 is 0.4 x 10 = 4. Alternate Solution: If 20 percent of 3k is 6, then 20 percent of k is 6/3 = 2. Since 40 percent of k is t...

by Scott@TargetTestPrep

Sun Oct 25, 2020 1:39 pm
Forum: Problem Solving
Topic: If 20 percent of 3k is 6, what is 40 percent of k?
Replies: 1
Views: 52

When a company places a wholesale order on coffee cups with the company logo, they pay $692 for 80 cups. When Phil wants Problem Solving Re: When a company places a wholesale order on coffee cups with the company logo, they pay$692 for 80 cups. When Phil w

When a company places a wholesale order on coffee cups with the company logo, they pay $692 for 80 cups. When Phil wants to buy just one such cup, it costs him$12.50. How much above the wholesale price per cup is he paying? A. $0.55 B.$3.85 C. $7.35 D.$10.65 E. \$14.25 OA B Solution: The wholesal...

The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If

Re: The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars.

The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in or...

If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers?

Re: If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers?

Magoosh If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers? A. 5/24 B. 5/16 C. 16/5 D. 25/4 E. 45/4 OA C Solution: We can let the two numbers be a and b, and we need to find ab. We can create the equations: a + b = 6 and 1/a + 1/b = 15/8...

Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution,

Re: Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution,

Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters of a sulfuric acid solution with a stronger concentration, and the resultant solution is 9 liters of 50% concentrated sulfuric acid solution. What was the concentration, as a percent,...