Quant Question of the Day Chat : Quantitative Questions

bb · 2022-10-20T20:57:38-07:00

Hello everyone and welcome to the GMAT Club's Quant Question of the Day If you would like to join the Quant Question of the Day Chat Group, Join the chat group here Group moderator is gmatophobia Welcome aboard! -BB And I have some news for the group - I would like to welcome gmatophobia as the new Moderator of this chat group. Please give him a day or two to get situation and get this group going with posting questions as well as sharing any interesting posts and links. Welcome gmatophobia - you are the first Quant Chat group moderator we have had

Bunuel

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26 Mar 2024, 01:34

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Nullbyte

Why do you infer that 3x is 6 and not 3?

Yes, I was wrong to do that. I often get confused by the language team eGmat use in their questions.

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26 Mar 2024, 07:22

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A car dealership recently increased the average pre-tax price of its cars by $2,500. As a result, a customer purchasing 18 cars at the old after-tax price can now afford to buy only 15 cars. If the local sales tax is 8%, what is the new average after-tax price of the dealer’s cars in dollars?

Options

10,800
12,500
13,500
16,200
16,750

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26 Mar 2024, 07:34

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16200 is the original answer

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26 Mar 2024, 07:49

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18x = 15 ( x+ 2500)
x= 12,500
Increased by 2500, 12,500+ 2500= 15,000.
After tax price, 15,000 X 1.08= 16,200.

Earlier I forgot to add 2500.

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26 Mar 2024, 07:55

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devashish2407

A car dealership recently increased the average pre-tax price of its cars by $2,500. As a result, a customer purchasing 18 cars at the old after-tax price can now afford to buy only 15 cars. If the local sales tax is 8%, what is the new average after-tax price of the dealer’s cars in dollars?

Options

10,800
12,500
13,500
16,200
16,750

Assuming the new pre-tax price of a car is x, the old pre-tax price of the car is x - 2,500.

The price of 15 cars at the new price after tax is 15x*1.08;
The price of 18 cars at the old price after tax is 18(x - 2,500)*1.08.

So, we have:

15x*1.08 = 18(x - 2,500)*1.08
x = 15,000

The new after-tax price is thus 15,000*1.08 = 16,200.

Answer: D.

Alternatively, you can directly deduce that the price of 3 extra cars, so 3x, must be equal to the total increase in price between 15 and 18 cars, which would be 18*2,500.

3x = 18*2,500
x = 15,000

The new after-tax price is thus 15,000*1.08 = 16,200.

Answer: D.

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the linear equation,y=-5x+2,defines y as a fucntion of x for all integers x.If standard devaiton of x valyes is 1, what is the standard deviaiton of the y values correspoding to all the x values

can anyone solve this?

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no

5

standard deviation is never negative

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27 Mar 2024, 01:33

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Check out this fresh Arithmetic question from GMAT Club Tests:

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A invested a total of $33000 in two accounts A&B with annual interest rates of 5% and 3% respectively. For the first year the interest earned by Account A was twice the interest earned by Account B. What was the total interest earned by the 2 accounts for the first year?

divyansh843

A invested a total of $33000 in two accounts A&B with annual interest rates of 5% and 3% respectively. For the first year the interest earned by Account A was twice the interest earned by Account B. What was the total interest earned by the 2 accounts for the first year?

Can anyone help with the solution for this problem please

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27 Mar 2024, 02:16

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divyansh843

A invested a total of $33000 in two accounts A&B with annual interest rates of 5% and 3% respectively. For the first year the interest earned by Account A was twice the interest earned by Account B. What was the total interest earned by the 2 accounts for the first year?

divyansh843

A invested a total of $33000 in two accounts A&B with annual interest rates of 5% and 3% respectively. For the first year the interest earned by Account A was twice the interest earned by Account B. What was the total interest earned by the 2 accounts for the first year?

Can anyone help with the solution for this problem please

Discussed here:

https://gmatclub.com/forum/alfredo-inve ... 16813.html

Hope it helps.

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divyansh843

A invested a total of $33000 in two accounts A&B with annual interest rates of 5% and 3% respectively. For the first year the interest earned by Account A was twice the interest earned by Account B. What was the total interest earned by the 2 accounts for the first year?

Amount invested 33000 = A + B

So, interest earned on account A would be A*(5/100)

interest earned on B would be (3/100)*B

A’s interest is twice of B
So, A*(5/100) = 2*(3/100)*B

And A+B = 33000

A*(5/100) = 2*(3/100)*(33000 - A)

So, A = 18000 and B= 15000

Total Interest earned would be - A*(5/100) + (3/100)*B i.e. 900 + 450 = 1350

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28 Mar 2024, 01:44

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Check new Arithmetic question from GMAT Club Tests:

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28 Mar 2024, 01:51

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