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kelel01

Help with some test questions

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These are sample questions for the nursing entrance test, and I'm sure there will be similar ones on the real test. I don't need the answers, per se, as they are given to me. I do, however, need to know HOW to do these problems. Anyone wanna help? :)
I actually reasoned a couple of them out, but I'd like to know a quick formula or the logic behind them. Thanks!

Oh, and no calculators are allowed on the test, so make it as simple as possible.

1. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

2. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

3. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number? (answer is a formula consisting of those three letters)

4. Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?

I'll post more as I go through more portions of the test. BTW, anyone see what my weaknesses are? :D

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These are sample questions for the nursing entrance test, and I'm sure there will be similar ones on the real test. I don't need the answers, per se, as they are given to me. I do, however, need to know HOW to do these problems. Anyone wanna help? :)
I actually reasoned a couple of them out, but I'd like to know a quick formula or the logic behind them. Thanks!

Oh, and no calculators are allowed on the test, so make it as simple as possible.

1. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

2. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

3. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number? (answer is a formula consisting of those three letters)

4. Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?

I'll post more as I go through more portions of the test. BTW, anyone see what my weaknesses are? :D



those are identical to the ones on the praxis one math test. when are you taking the test?

I help aspiring teachers pass this all the time - we can schedule a tutoring session on june 7
Scars remind us that the past is real

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1. I'm guess 2.5 hours.

2. 240 x 5 = 1200.

3. Z+Y+"_" = V*3 (of course, the answer is "O" - the 15th letter;))

4. 18 minutes and 20 seconds?

5. 5 percent

A couple of those were hard. I need to brush up on my math skills.


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1. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?



I would use fractions

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2. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?


look for easy patterns. 6 * 5 = 30 ..... 30 = 10 x 3

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3. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number? (answer is a formula consisting of those three letters)


Question seems weird. I would guess 2. (since there are 2 elements [Y and Z] averaged to V)
(Z + Y) / 2 = V

edit: I didn't read that one before answering. move along, move along.

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4. Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?


again use factions. 30 mins, 45 mins, and 1.5 hours are all "quarter" fractions (2/4, 3/4, 6/4)

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5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?


simple = not compounded.
2500 / 5 = 500. (5 squared = 25. ==> 25 / 5 = 5 ==> 2500 / 5 = 500)

then 500/10000 or 5/100 gives you 5%



Hope this helps :)

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Yeah, me, too. Those are the ones I reasoned. But I'm afraid that the test won't make that possible - like there would be 2 that could fit into the "reasoning". The answer to the first one was really specific, but also the only one that made sense.

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1. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?



don't know the way i got it but is 2.75 hours right??? i'm interested in the pure answer not the way to do it...lol.... sorry i'm of no help....

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Ok... since I was right I will have to try to put the logic here.

1) Add the too rates to get a combined rate:
1house/4hours + 1 house/6hours = 3/12+2/12 = 5houses/12hours
Therefore:1 house would be done in 12/5 hours which is 2 hours 24 minutes.

2) 4000*0.06*5 = 1200

3) (x+Z+Y)/3 = V
x+Z+Y = 3V
x = 3V-Z-Y

4) Same as 1: add the rates:
1/30minutes + 1/45minutes + 1/90 minutes = 3/90+2/90+1/90 = 5/90minutes
Therefore one would be done in 90/5minutes or 15 minutes

5) 10,000*x*5 = 2500
x=0.05 or 5%

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Ok... since I was right I will have to try to put the logic here.

1) Add the too rates to get a combined rate:
1house/4hours + 1 house/6hours = 3/12+2/12 = 5houses/12hours
Therefore:1 house would be done in 12/5 hours which is 2 hours 24 minutes.

2) 4000*0.06*5 = 1200

3) (x+Z+Y)/3 = V
x+Z+Y = 3V
x = 3V-Z-Y

4) Same as 1: add the rates:
1/30minutes + 1/45minutes + 1/90 minutes = 3/90+2/90+1/90 = 5/90minutes
Therefore one would be done in 90/5minutes or 15 minutes

5) 10,000*x*5 = 2500
x=0.05 or 5%




oh my...that made me weak in the knees....
:P
Scars remind us that the past is real

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