MU-NLPC/Calc-aqua_rat huggingface dataset:
A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 15 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s) Choose the correct choice.
A) 1650 B) 2750 C) 3850 D) 4950 E) 6050

Solution: The distance the sound traveled to the man is 15*330= 
15*330 = 4_950
4950 meters   The answer is 4950.
Answer: D
Distance between A and B is 36 miles. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed 2 mph. While the other man traveled with varying speeds as follows: In first hour his speed was 1 mph, in the second hour it was 1.25 mph, in the third hour it was 1.5 mph, and so on. Where will they meet each other?
Choose one
A) 12 miles away from A B) 12 miles away from B C) after 6 hours from start D) after 12 hours from start E) midway between A and B

Solution: Since the question asks where A and B will meet each other, we know the answer will involve distance and location.   In such questions, look for a symmetrical situation to find a rough estimate or range. For example, in many work-rate questions, it helps if you figure out the situation in which the rate of both people is the same.   Here the average speed of A (assuming guy who starts from A is A) is 2 mph and distance is 36 miles. So this means that A would take a total of   36/2= 
  36/2 = 18
18 hours to cover the distance from A to B. So, if B's speed were also 2, both A and B would travel for 9 hours to meet in the middle.   B has uniform speed per hour so its average will be the simple average of all speeds: 1, 1.25, 1.5, 1.75, 2, 2.25, 2.5...   and 2 is actually right in the middle of the 9 speeds, implying both A and B have the same average speed.   The correct answer is (midway between A and B).
Answer: E
If the personal income tax rate is lowered from 42% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $42400?	Pick.
A) $3500
B) $5000
C) $4240
D) $7000
E) $10000

Solution: Saving = (42-32)% of 42400 = 4240.   Answer:$4240
Answer: C
The number 523hbc is divisible by 7,8,9. Then what is the value of h*b*c Select:
A) 504	B) 532	C) 210	D) 180	E) 280

Solution: LCM of 7, 8 and 9 is 504, thus 523hbc must be divisible by 504.   523hbc=523000+hbc   523000 divided by 504 gives a remainder of 352.   Hence, 352hbc=k*504.   k=1 hbc=152 --> h*b*c=10   k=2 hbc=656 --> h*b*c=180   As hbc is three digit number k can not be more than 2.   Two answers? Well only one is listed in answer choices, so D.   Answer: 180.
Answer: D
Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm?
Choose the correct option.
A) 225 cm2
B) 150 cm2
C) 127 cm2
D) 177 cm2
E) 187 cm2

Solution: 1/2 * 30(9 + 6)   = 225 cm2   225 cm2nswer: 225 cm2
Answer: A
In the xy-plane, the point (3, 1) is the center of a circle. The point (3, -2) lies inside the circle and the point (-2, 1) lies outside the circle. If the radius r of the circle is an integer, then r =	Pick
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: An easy way to solve this question will be just to mark the points on the coordinate plane.   You'll see that the distance between the center (3, 1) and the point inside the circle (3, -2) is 3 units   (both points are on x=3 line so the distance will simply be  1-(-2)= 
 1-(-2) = 3
3)   So the radius must be more than 3 units.   The distance between the center (3,1) and the point outside the circle (-2,1) is 5 units   (both points are on y=1 line so the distance will simply be  3-(-2)= 
 3-(-2) = 5
5)   So the radius must be less than 5 units, which implies 3 < r < 5, thus as r is an integer then r=4.   Answer: 4.
Answer: C
How long does a train 165 meters long running at the rate of 90 kmph take to cross a bridge 660 meters in length?  Choose the correct choice from the following answers:
A) 28
B) 27
C) 33
D) 18
E) 12

Solution: T = (660 + 165)/90 * 18/5= 
(660 + 165)/90 * 18/5 = 33
33   Answer: 33
Answer: C
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?  Choose the correct choice from the following options.
A) 50	B) 26	C) 28	D) 69	E) 17

Solution: The distance to be covered = Sum of their lengths = 200 + 300= 
200 + 300 = 500
500 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 500/10= 
500/10 = 50
50 sec.   50nswer: 50
Answer: A
A reduction of 44% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?	Choose the correct choice from the following choices
A) 2.3	B) 8.3	C) 7.3	D) 3.3	E) 1.3

Solution: Explanation:   40*(44/100)= 
40*(44/100) = 88/5 = around 17.6
17.6 --- 64   ? --- 12=> Rs.3.30   Answer: 3.3
Answer: D
Sum of the squares of 3 no. is 52 and the sum of their products taken two at a time is 72. Find the sum?  Choose the correct choice from the following answers
A) 18	B) 21	C) 13	D) 16	E) 14

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 52 + 2* 72   a + b + c = âˆš196 = 14   Answer 14
Answer: E
X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an even number.
2. Y^(X + Y) is not an integer.
3. X^Y is a positive number.	Choose the correct choice from the following answers.
A) 2 only.
B) 3 only.
C) 1 and 3 only.
D) 2 and 3 only.
E) 1, 2 and 3.

Solution: Statement I is not TRUE   Statement II is TRUE   Statement III is not TRUE   2 only.nswer : 2 only.
Answer: A
How many times digit 5 is used while writing numbers from 100 to 1000?  Choose the correct choice.
A) 648	B) 300	C) 252	D) 225	E) 290

Solution: There are 100 numbers which begin with 600   Next, In every 10 numbers such as 100 to 110, 110 to 120, 120 to 130 5 comes at least once. Number of such intervals = End limit - First no. / interval. Our range of numbers is 100 - 1000   1000 - 100= 
1000 - 100 = 900
900/10= 
900/10 = 90
90   Number of 10s interval in this is 90. So 90 '6s'   So far we have calculated 190.   The total now comes to 280. The nearest to which is 290. Hence 290.
Answer: E
fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___  Choose the correct choice from the following answers: A) (a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for y B) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y C) (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x D) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for z E) none of the above

Solution: (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for xcorrect answer ((a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x)
Answer: C
How many three letter words are formed using the letters of the word TIME? Choose the correct choice from the following.
A) 28 B) 21 C) 26 D) 24 E) 29

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is ⁴P₃   = 4 * 3 * 2= 
4 * 3 * 2 = 24
24.   Answer: 24
Answer: D
Calculate the largest 6 digit number which is exactly divisible by 55? Select:
A) 999955 B) 999900 C) 999845 D) 999790 E) 999735

Solution: Largest 4 digit number is 999999   999955fter doing 999999 ÷ 55 we get remainder 44   Hence largest 4 digit number exactly divisible by 88 = 999999 - 44= 
999999 - 44 = 999_955
999955   999955
Answer: A
A baseball team won 45 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?	Choose the most appropriate option:
A) 36	B) 45	C) 50	D) 55	E) 81

Solution: Number of games won by baseball team in first 80 games = .45* 80= 
.45* 80 = 36
36   Total number of games= 80 + 82= 
80 + 82 = 162
162   % of wins required in 162= 50   Number of wins required in 162 = 81   Number of wins required in remaining 82 games = 81 - 36= 
81 - 36 = 45
45   Answer 45
Answer: B
Barbie invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choose the correct choice from the following answers: A) 1250 B) 3000 C) 1000 D) 3600 E) 1200

Solution: Let the additional invested amount for 8% interest be x;   1200quation will be;   2400+0.05*2400+x+0.08x = 2400+x+0.06(2400+x)   0.05*2400+0.08x = 0.06x+0.06*2400   0.02x = 2400(0.06-0.05)   x = 2400*0.01/0.02= 
2400*0.01/0.02 = 1_200
1200   Ans:1200
Answer: E
The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 10 points after 5 games, what is the least number of the remaining matches it has to win to reach the 45-point mark by the end of the tournament?	Choose the correct answer
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: To get 45 points as end of season we need another 35 points or more from remaining 15 matches:   Option A= 6*3+9*1= 
6*3+9*1 = 27
27   Option B=7*3 + 8*1= 
7*3 + 8*1 = 29
29   Option C=8*3+7*1= 
8*3+7*1 = 31
31   Option D=9*3+6*1= 
9*3+6*1 = 33
33   Option 10=10*3+5*1= 
10*3+5*1 = 35
35   hence option 10-10
Answer: E
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 kmph and 25 kmph. When will they meet for the first time any where on the track if they are moving in the opposite direction ? Choose the correct answer: A) 144 B) 36 C) 124 D) 32 E) 38

Solution: Time taken to meet the first time = length of track/relative speed   = 400/ (15 +25) (5/18)   = 400/40 *(18/5)= 
400/40 *(18/5) = 36
36 sec.   ANSWER:36
Answer: B
A car takes 3hrs less than a truck to cover the distance frm Bombay to pune(192 km). The speed of the truck is 16km/hr slower than car.Find the speed of the car?  Pick.
A) 40.38	B) 38.38	C) 41.3	D) 48	E) 45

Solution: Let the speed of car = x km/hrs   then that of truck = (x-16) km/hrs   40.38ccording to the given condition   [192/(x-16)]- [192/x] = 3   on solving the equation we have x = 8[(sq-root of 17) + 1] =40.38   40.38NSWER:40.38
Answer: A
If d=1/(2^3*5^11) is expressed as a terminating decimal, how many nonzero digits will d have?  Choose the correct choice from the following choices.
A) One	B) Two	C) Three	D) Seven	E) Ten

Solution: Another way to do it is :   We know x^a*y^a=(X*Y)^a   given = 1/(2^3*5^11)   = Multiply and divide by 2^8   =2^8/(2^3*2^8*5^11)   =2^8/10^11   => non zero digits are 256=> Ans Three
Answer: C
What least number should be added to 1101, so that the sum is completely divisible by 24  Pick
A) A)4 B) B)1 C) C)2 D) D)3 E) E)5

Solution: Explanation:   (1056 / 24) gives remainder 21   21 + 3= 
21 + 3 = 24
24, So we need to add 3.   Answer: Option 3
Answer: D
Find the value of y from (12)^3 x 6^4 ÷ 432 = y? Choose the correct choice: A) 2456 B) 3456 C) 4578 D) 4290 E) 5184

Solution: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184   432 12 x 62   5184
Answer: E
If the average (arithmetic mean) of 2a+16, 3a-8 is 94, what is the value of a? Choose the correct choice from the following options
A) 25	B) 30	C) 28	D) 36	E) 42

Solution: AM of 2a+16, 3a-8=2a+16+ 3a-8 /2= 5a+8/2   Given that 5a+8 /2 = 94   a= 36   Answer is 36
Answer: D
Find the value of (875 233/899) × 899  Select.
A) 786600
B) 786650
C) 786700
D) 786750
E) 786858

Solution: (875 233/899) × 899   (786625 + 233)/899 × 899   786858/899 × 899   786858   786858
Answer: E
How many words can be formed by using all letters of the word ‘LONDON’ ?  Choose the correct option:
A) 120 B) 320 C) 420 D) 620 E) 720

Solution: Solution   The word LONDON contains 6 different letters.   Required number of words = 6P6 = 6 ! = (6 x 5 x 4 x 3 x 2 x 1) = 720   Answer 720
Answer: E
Following an increase in prices, the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised? Choose the correct answer:
A) 11.
B) 20.
C) 13.
D) 14.
E) 14.5

Solution: Price of candy before price increase= 20/1.25= 
20/1.25 = 16
16   Price of soda before price increase= 6/1.5= 
6/1.5 = 4
4   Total price= 16+4= 
16+4 = 20
20   20. is the answer
Answer: B
The rate of Interest on a sum of money is 8% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is  Select.
A) 1,200
B) 2,000
C) 2,100
D) 2,250
E) 2,540

Solution: Explanation:   I1 = (P x 3 x 8)/100 = 6P/25   I2 = (P x 4 x 4)/100 = 4P/25   I3 = (P x 1 x 5)/100 = P/20   6P/25 + 4P/25 + P/20 = 540   9P/20 = 540   P = 1200   1,200nswer: Option 1,200
Answer: A
A mail handler needs 3 hours to sort the mail. His assistant takes 6 hours to sort the mail. How many hours will it take for both of them working together to sort the mail?  Choose the correct answer:
A) 3
B) 2
C) 1
D) 2 1/2
E) 1 1/5

Solution: Work hrs=A2/(A+2)= 18/9= 
18/9 = 2
2   Answer is 2
Answer: B
Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 0.5 minute each, how soon will the tank be filled?
Choose the correct choice.
A) 1 hour 30 min
B) 4 hours
C) 3 hours
D) 5 hours
E) 6 hours

Solution: in three minute 1/20+1/30-1/15=1/60 part is filled   1.5 min--------1/60 parts   x min--------- 1 part(full)   x=90 min =1 hour 30 min   1 hour 30 minNSWER:1 hour 30 min
Answer: A
If the value of a piece of property decreases by 10% while the new tax rate on the property represent 110% of the original tax rate, what is the effect on the taxes?
Options:
A) taxes increase by 10%
B) taxes increase by 1%
C) there is no change in taxes
D) taxes decrease by 1%
E) taxes decrease by 10%

Solution: Consider the value of property = 100, Original tax rate 10%, hence tax value = 100*10% = 10.   Decreased value of property = 90, New tax rate = 110% of 10 = 11%, hence tax value = 90*11% = 9.9   10-9.9 = decrease by 1%.   Answer taxes decrease by 1%.
Answer: D
ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,55) and (-5,15). Which can be the coordinate of fourth vertex? Choose one.
A) (15,55)	B) (5,15)	C) (-5,-25)	D) (-5,10)	E) (15,25)

Solution: (15,55)(-5, 15)   B(5, 15)   C(5, 55)   X(-5, 55): Parallelogram=Square=(15,55)XCB, where (15,55)X||CB, (15,55)X=CB, XC||(15,55)B, XC=(15,55)B   Y(-5, 5): Parallelogram=(15,55)YBC, where (15,55)Y||BC, (15,55)Y=BC, (15,55)C||YB, (15,55)C=YB   Z(15, 55): Parallelogram=(15,55)CZB, where (15,55)C||ZB, (15,55)C=ZB, CZ||(15,55)B, CZ=(15,55)B   (15,55)ns:(15,55)
Answer: A
Solution A is 20% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?  Choices.
A) 6:4
B) 6:14
C) 4:4
D) 4:6
E) 3:7

Solution: let:   x = ounces taken from solution A (20% salt)   y = ounces taken from solution B (80% salt)   to prepare 50 ounce 50% salt.   first equation is simple:   x + y = 50   to get another equation so as to be able to solve, compute salt contents.   20% of x + 80% of y = 50% of 50 or   x/5 + 4/5 * y = 25 or   x+4y = 125   solve two equations to get:   x = 25   y = 25   so solutions has to mix in   1:1 oops 4:4   ANSWER:4:4
Answer: C
Three years ago, the average age of A and B was 18 years. With C joining them, the average age becomes 22 years. How old is C now?	Choices:
A) 20 years B) 24 years C) 27 years D) 30 years E) None

Solution: Sol.   Present age of ( A + B) = ( 18 × 2 + 3 × 2) years = 42 years.   Present age of ( A + B + C) = (22 × 3) years = 66 years.   Therefore C’s age = (66 – 42) years   = 24 years.   Answer 24 years
Answer: B
A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief? Choose the correct choice from the following answers.
A) 2	B) 78	C) 5	D) 6	E) 7

Solution: Suppose the thief is overtaken x hrs after 2.30 p.m.   Then, distance covered by the owner in (x - 1/2) hrs.   60x = 75(x - 1/2) => x = 5/2 hrs.   So, the thief is overtaken at 5 p.m.   Answer: 5
Answer: C
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theboundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park is? Answers: A) 163600 m B) 178600 m C) 153600 m D) 163600 m E) 173600 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?  Choose the correct choice.
A) 4/5
B) 1/4
C) 3/10
D) 1/5
E) 1/10

Solution: 10 + 10 + 55= 
10 + 10 + 55 = 75
75% 100 - 75= 25% to all others   1/4
Answer: B
If the price of sugar rises from Rs. 10 per kg to Rs. 11 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
Choose the most appropriate option
A) 9%	B) 20%	C) 25%	D) 30%	E) none

Solution: Sol.   Let the original consumption = 100 kg and new consumption = x kg.   So, 100 x 10 = x × 11 = x = 91 kg.   ∴ Reduction in consumption = 9%.   9%nswer 9%
Answer: A
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 40 years now, the son's age five years back was?  Choose the correct answer:
A) 16 years
B) 15 years
C) 18 years
D) 19 years
E) 25 years

Solution: Let the son's present age be x years.   Then, (40 - x) = x   2x = 40 => x = 20   Son's age 5 years back = (20 - 5)= 
(20 - 5) = 15
15 years.   Answer: 15 years
Answer: B
If q and r are both odd numbers N, which of the following must also be odd? Choose the most appropriate option.
A) q – r  B) (q + r)^2  C) q(q + r)  D) (qr)^2  E) q/r

Solution: We're told that q and r are both ODD numbers N. We're asked which of the following must also be odd.   IF...   q = 1   r = 3   Answer A) q – r = 1-3 = -2 NOT odd   Answer B) (q + r)^2 = (1+3)^2 = 16 NOT odd   Answer C) q(q + r) = (1)(4) = 4 NOT odd   Answer (qr)^2) (qr)^2 = (3)^2 = 9 This IS O(qr)^2(qr)^2   Answer E) q/r = 1/3 NOT odd   Final Answer:   (qr)^2
Answer: D
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water? Pick:	A) 40 minutes	B) 1 hour	C) 1 hour 15 min	D) 1 hour 30 min	E) none

Solution: Solution   Rate downstream	= (1 / 10 x 60)km/hr   = 6 km / hr.   Rate upstream	= 2 km/hr.   Speed in still water	= 1 / 2(6 + 2)km/hr   = 4 km.   Required time	= (5 / 4) km/hr   = 1x 1/4 km/hr   = 1 hr 15 min.   Answer 1 hour 15 min
Answer: C
If f(x)= 5x^3- 2x+8 and h(y)= 4y-4, then h(f(x)) =
Select the correct option.
A) 11x^2+4x+4
B) 11x^2-12x+44
C) 8x^3-8x+32
D) 30x^3+4x+4
E) 20x^3-8x+28

Solution: h(f(x)) = 4(f(x)) -4 = 4(5x^3- 2x+8) - 4 = 20x^3-8x+28 =>20x^3-8x+28
Answer: E
The average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results?	Options
A) 24	B) 25	C) 48	D) 50	E) None

Solution: Answer   Sum of 100 result = sum of 60 result + sum of 40 result.   = 60 x 40 + 40 x 60   = 4800/100   48orrect Option: 48
Answer: C
A question paper has 5 multiple choice questions. Each question has 2 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 10 answers correct? Choose the correct choice:	A) 19	B) 85	C) 120	D) 624	E) 1024

Solution: A candidate can answer the test in 2^5 number of ways (each question has 2 choices and we have total of 5 questions). Now, out of these cases there will be only one case when the candidate answered all the 5 questions correct. Therefore the total number of ways in which a candidate will NOT get all the four answers correct is 5^4-1=624.   Answer: D.
Answer: E
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?	Pick
A) 8% B) 4% C) 6% D) 3% E) 1%

Solution: 65*(90/100)*((100-x)/100) = 56.16   x = 4%   Answer: 4%
Answer: B
Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next two weeks be to decrease his average weekly income to $400 over the 7-week period?	Choose the correct choice:	A) $350	B) $400	C) $365	D) $385	E) $375

Solution: OFFICIAL SOLUTION:   (C) First, we need to add up the wages over the past 5 weeks: $406 + $413 + $420 + $436 + $395 = $2070.   To average $400 over 7 weeks, the salesman would need to earn: $400 × 7 406 +  413 +  420 +  436 +  395= 
406 +  413 +  420 +  436 +  395 = 2_070
$2070.   To average $400 over 7 weeks, the salesman would need to earn: $400 × 7= $2800.   Subtract $2070 from $2800 to determine how much he would need to earn, in total, over the next 2 weeks to average $400 for the 7 weeks: $2800 – $2070 = $730.   Dividing $730 by 2 will give us the amount he needs to earn on average over the next 2 weeks: $730/2= 
730/2 = 365
$365.   The correct answer is choice ($365).
Answer: C
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?	Choose the correct choice from the following choices:
A) 0.5904	B) 0.5914	C) 0.5912	D) 0.5916	E) 1

Solution: Explanation:   P(winning prize atleast on one ticket)   = 1 - P("Losing on all tickets")   = 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)   = (1.64)(0.36) = 0.5904   0.5904)
Answer: A
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $12,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level?	Choose the correct choice from the following options
A) $1600  B) $6000  C) $6050  D) $1200  E) $8000

Solution: Let T be the tier price, P be total price = 12000   Per the given conditions:   0.12T + 0.08(P-T) = 1440 ----> T= 12000. $1200 is the correct answer.
Answer: D