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Test 1 (Quantitative Reasoning) Exam (Latest Update)
Questions and Answers (100% Correct Elaborations)
A car loses half its value every 3 years. If 6 years after it was made it is worth $12,000 less than its original value, how many dollars will it be worth 9 years after it was made? A. 1, B. 2, C. 3, D. 4, E. 6,0 00 2, Sherry invests money in stock. Her initial investment is $3,000, and after one month the stock's value increases by 20%. After another month, her investment's value dips by 10%. In the third month, her stock's value increases again, by 15%. How much is her investment worth now? A. $3, B. $3, C. $3, D. $3, E. $4, $3, What is the distance formula? d = √[(X2 - X1)^2 + (Y2 - Y1)^2]
What is the distance between (-6,7) and (4,31)? A. 10 B. 18 C. 24 D. 26 E. 37 26 For new car purchases, an automobile company allows the selection of two free "extras" from a list of seven. How many different ways can a car be customized with extras? A. 21 B. 28 C. 35 D. 42 E. 49 21 Y + 8 is what percent of (Y^3)-4, when Y = 4? A. 20 B. 25 C. 33(1/3) D. 300 E. 500 20 Which of the following fractions is largest?
B. - 2,
C. 2,
D. 2sqrt(6), - 2sqrt(6) E. 3, 3 What is the diameter of a circle whose perimeter intersects the four corners of a square with a perimeter of 4? A. 1/sqrt(2) B. 1 C. sqrt(2) D. 2 E. 2sqrt(2) sqrt(2) A carnival game has 9 ducks that pop up at random out of a set of holes. One duck pops up at a time and returns into its hole before the next comes out. There are 4 blue ducks, 3 red ducks, 1 brown duck, and 1 gold duck. In order to win, the gamer needs to knock down the gold duck. What is the probability that the gold duck will be the third duck to pop up? A. 1/ B. 1/ C. 1/ D. 1/ E. 1/ 1/ What is the value of sqrt(.49)/.7?
A..
B. sqrt(.7) C. 1 D. 2 E. sqrt(7) 1 If sin A = 1/sqrt(5), which of the following is the value of Cos A? [0<A<π/2) A. 1/sqrt(5) B. 2/sqrt(5) C. 1/ D. 1/sqrt(5) E. 2/ 2/sqrt(5) If r and s are positive integers and 4r + 6s is equal to 3a + 2s, then which of the following is equal to 2s? A. - 2r+(3/2)a B. - 4r+3d C. - r+(3/4)a D. r-(3/4)a E. (4/3)r+3a
A square has sides of length X. If circles are centered on each of the corners of the square such that two have radii of (1/4)X and two have radii of (1/2)X, what proportions of the area of the square is also covered by a circle? A. (3π/32) B. (5π/32) C. (8/5π) D. (3π/8) E. (5π/8) (5π/32) A drawer contains 4 red and 8 black pens. what is the probability that a person randomly grabbing two pens at once will grab two black pens? A. 14/ B. 14/ C. 4/ D. 4/ E. 3/ 14/ sin 30° 1/ sin 45° √2/ sin 60°
cos 30° √3/ cos 45° √2/ cos 60° 1/ In a right triangle, the angle∠ADC = 60, and DC = 22. Which of the following is the length of the line segment AD? A. 10 B. 11 C. sqrt(130) D. 10sqrt(3) E. 11sqrt(3) 11 If [(X^2)-8][X + 7] < 0, then what are all the possible ranges of X? A. X < - 7 B. X < 2sqrt(2) C. - 7 < X < 2sqrt(2)
D. 46
E. 49
What is 75% of (42 - 4^2)? A. 18. B. 19. C. 20. D. 21. E. 22.
What is the maximum number of isosceles right triangles whose legs are 3 inches long that can be cut from a rectangular sheet of paper measuring 14 X 10 inches? A. 12 B. 15 C. 24 D. 30 E. 31 24 If (3/8)Y - Y > (7/8) - (Y/8), which of the following must be true? A. Y < - 7/ B. Y < - 15/ C. Y < - 15/ D. Y < 15/
E. Y > - 15/
Y < - 7/
Which of the following is equal to 247 X 763 - 1,763 X 247? A. - 17, B. - 24, C. - 176, D. - 188, E. - 247,
- 247, An 8-sided carousel has one horse on each vertex. 3 of the horses are red, 3 are blue, and 2 are green. A child is stationary in front of one vertex while waiting to ride and waits for three rounds. For each round, the carousel turns a random number of times before stopping with one vertex directly in front of the child. What are the chances that the carousel will stop with a green horse in front of the child on the first turn, a red horse in front of the child on the second turn, and a blue horse in front of the child on the last round? A. 6/ 336 B. 3/ C. 3/ D. 9/ E. 9/ 9/ If Y = (5X + 2)/(X-6), then which of the following gives X in terms of Y for all values of Y where the expression for X in terms of Y is defined? A. X = (2+6Y)/(5-Y) B. X = 6Y/(Y-5)
E. 75
What is the value of Y if - 7X + 5Y = 1 and X - Y = 3? A. - 11 B. - 9 C. - 8 D. 8 E. 11
- 11 What is the distance on a conventional two-dimensional graph between the coordinates (-5,7) and (3,- 1)? A. 4 B. 6 C. 2sqrt(10) D. 8 E. 8sqrt(2) 8sqrt(2) If sqrt[(1/X)-1] = 7, then X =? A. 1/ B. 1/ C. 1/ D. sqrt(1/6) E. 48
What is the volume of a cylinder πr^2h What is the area of a cylinder 2πrh+2πr^ What is the height of a cylinder with radius 3sqrt(13) and volume 117sqrt(13)? A. √ 13/π B. √ 13/ C. √ 13/ D. √ 13 E. √ 26 √ 13/π One hose can fill a pool in 2 hours and another hose can fill the pool in 3 hours. How many hours does it take both hoses operating at the same time to fill the pool? A. 2/ B. 5/ C. 6/ D. 4/ E. 7/ 6/
