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Cards In This Set
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Two trains running in the sam direction on the same track travel at the rate of 40 and 45 mph. if slower train start out at an hour earlier, how long will it take the faster one to catch up with it?
a- 5 hours b- 6 hours c- 7 hours d- 8 hours |
ANSWER- D
the slower train is 40 miles ahead in one hour. the difference in rate of change is 5 mph, and 40/5= 8 hours |
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A naval detatchment has enough rations to feed 15 people for 8 days. if 5 more people join, how many fewer days will the rations last?
a- 1 b- 2 c- 3 d- 4 |
ANSWER- B
let x=the number of rtion days for 20 people 15 * 8= 20 * x 120= 20x 20x= 120 x= 120/20 x= 6 ration days for 20 persons so 8 days - 6 days= 2 ration days |
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A field can be plowed by 12 machines in 7 hours. if 4 machines are broken and cannot be used how many hours will it take to plow the field?
a- 7.5 hours b- 8.5 hours c- 9.5 hours d- 10.5 hours |
ANSWER- D
let x equal the numbr of hours to plow with 8 machines. 12 * 7= 8 * x 84= 8x 8x= 84 x= 84/8 x=10.5 hours |
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What is the square root of 4 raised to the 5th power
a- 8 b-16 c- 32 d-64 |
ANSWER- C
SQR of 4=2 2^5= 2*2*2*2*2 =32 |
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If 3^ (n-2)= 27, what does n equal?
a- 5 b- 7 c- 8 d- 12 |
ANSWER- A
3 ^ (n-2)= 27 3^3= 27 n-2= 3 n=5 |
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If the sum of the edged of a cube is 24 inches, what is the volume of the cube?
a- 4 cubic inches b- 8 cubic inches c- 16 cubic inches d- 64 cubic inches |
ANSWER- B
a cube has 12 edges, so each edge is 24/12= 2 volume= L*W*H v= 2*2*2 v=8 |
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What is the perimeter of a right triangle whose legs are 3 and 4 feet?
a. 10 feet b. 12 feet c. 14 feet d. 16 feet |
ANSWER- B
Using the Pythagorean theorm, the hypotenuse of the right triangle = 5: 3′ + 4′ + 5′ = 12 |
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How much pure acid must be added to 10 ounces of a 55% acid solution in order to produce a 75% acid solution?
a- 5 ounces b- 6 ounces c- 7 ounces d- 8 ounces |
ANSWER- D
pure acid: # of ounces= x, parts pure acid= 100, # of ounces of pure acid= 100x 40% acid solution: # of ounces= 10, parts pure acid= 44, # of ounces of pure acid= 550 60% acid solution: # of ounces= 10 + x, parts pure acid= 75, # of ounces of pure acid= 75(10+ x) SO.... 100x + 550= 75 (10 + x) 100x + 550= 750 + 75x -550 -550 100x= 200+ 75x -75x - 75x 25x= 200 x= 8 |
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A farmer who is 6 feet tall wants to determine the height of his barn, he notices that his shadow is 14 feet long and that his barn casts a shadow of 70 feet long. how high is the barn?
a- 30 feet b- 35 feet c- 40 feet d- 45 feet |
ANSWER- A
6 : 14= x: 70 14x= 70 * 6 14x= 420 x= 30 |
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If (x-y)^2= 60 and x^2 + y^2= 40, then xy=
a= -40 b= -20 c= -12 d= -10 |
ANSWER= D
(x-y) ^2= x^2 - 2xy + y^2 60= 40 - 2xy -2xy= 20 xy= -10 |
 What is the measure of angle x? a- 35 degree b- 45 degree c- 50 degree d- 70 degee |
ANSWER- C
arc AB= 80 degrees therefore, AOB = 80 degrees, the two radii are equal. angle x= (180 degree- 80 degree) = 1/2 (100 degrees) = 50 degrees |
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Janes grades on three test were : 93,82, and 72. what must she get on her next test so her average for the four test is 85?
a- 88 b- 89 c- 90 d- 93 |
ANSWER- D
total score of all 3= 247 to get an average of 85 then- 85*4= 340 so.. 340-247= 93 |
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A family drove from new york to san francisco, a distance of 3000 miles, they drove 1/8 of the distance the first day and 1/7 of the remaining distance the second day. how many miles were left to be driven?
a- 2200 miles b- 2250 miles c- 2400 miles d- 2500 miles |
ANSWER- B
1/8 of 3000= 375 3000- 375= 2625 1/7 of 2625= 375 2625- 375= 2250 miles still to be driven |
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In a 4- hour exam of 420 question, there are 60 math probs. if twice as much time should be allowed for each math prob as for each of the question, how many minutes should be spent on the math prob?
a- 60 min b- 65 min c- 70 min d- 75 min |
ANSWER- A
let x= min to be spent on each math prob x * 60 + x/2 * 360= 240 60 x + 180 x= 240 240 x= 240 x=1 so, 60x= 60 minutes to be spent on the 60 math probs |
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1,000,000 may be represents as 10^6?
a- 10^4 b- 10^5 c- 10^6 d- 10^7 |
ANSWER- C
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