MU-NLPC/Calc-aqua_rat huggingface dataset:
450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ?	Choices.
A) 12980  B) 12532  C) 12610  D) 12430  E) 12560

Solution: Explanation:   ? = 450.271 + (369.422 ÷ 0.03) - (108.612 x 2.001)   ≈ 450 + 369/0.03 - (109 x 2) ≈ 450 + 12300 - 218 ≈ 12532   Answer: Option 12532
Answer: B
Insert the missing number
3, 7, 6, 5, 9, 3, 12, 1, 15, ... Choose the correct option:
A) 18 B) 33 C) -1 D) 3 E) -3

Solution: 3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series   1) 3, 6, 9, 12, 15.....   2) 7, 5, 3, 1, ..... -1 is the next number   ANSWER:-1
Answer: C
A number increased by 15% gives 1150. The number is	Options.
A) 250	B) 1000	C) 450	D) 500	E) 520

Solution: Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"   A number means = 100 %   That same number increased by 15 % = 115 %   115 % -------> 1150 (115 × 100 = 1150)   100 % -------> 1000 (100 × 100 = 1000)   1000)
Answer: B
The radius of a circle is increased by 1%. Find how much % does its area increases?	Choose the correct choice from the following answers
A) 2.07%
B) 2.02%
C) 2.21%
D) 2.01%
E) 2.08%

Solution: r = 100 r = 101   r2 = 10000 r2 = 10201   10000 ---- 201   100 ---- ? => 2.01%   Answer: 2.01%
Answer: D
Mandrake has to choose from 4 from 18 people. There are 3 girls, 5 boys , 10 children. What is total probability that he will choose 1G , 2B , 1C?	Pick.
A) 1/7 B) 2/7 C) 3/7 D) 4/7 E) 5/51

Solution: (3C1 * 5C2 * 10C1)/ 18C4 = 3*10*10/1820= 300/1820=5/51   ANSW5/51R:5/51
Answer: E
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Choose the most appropriate option:
A) 140 m
B) 200 m
C) 400 m
D) 600 m
E) 120 m

Solution: Speed =40 km/hr=40Ã—5/18=100/9 m/s   Time = 18 seconds   Distance Covered = 100/9 Ã—18=200 m   length of the train = 200m   ANSWER:200 m
Answer: B
What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choose the correct choice from the following answers:	A) 0	B) 1/7	C) 2/7	D) 5/7	E) 6/7

Solution: A leap year has 52 weeks and two days   Total number of cases = 7   Number of favourable cases = 1   i.e., {Saturday, Sunday}   Required Probability = 1/7   ANSWER:1/7
Answer: B
Find the odd man out. 125, 127, 130, 135, 142, 153, 165  Choose the correct choice
A) 165  B) 142  C) 153  D) 130  E) None of these

Solution: Explanation :   Prime numbers 2, 3, 5, 7, 11, 13 are added successively. Hence, 165 is wrong. 165nswer : Option 165
Answer: A
If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 555 will be:  Choose the correct choice
A) Rs. 300  B) Rs. 200  C) Rs. 240  D) Rs. 150  E) None of these

Solution: Z share = Z,   Y = 1.2Z   X = 1.25Ã—1.2Z,   X+Y+Z =555   (1.25Ã— 1.2+1.2+1)Z=55   3.7Z=555, Z=150   Answer: . Rs. 150
Answer: D
A salesperson receives a base salary of $800 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?
Choose the most appropriate option:
A) $1,500	B) $1,800	C) $2,600	D) $2,500	E) $2,800

Solution: Ans : 800+ 7.5 % * 150 * (210-50) = $ 2600   Answer $2,600
Answer: C
A, B and C started a business by investing Rs. 45000, Rs. 55000 and Rs. 60000 respectively. At the end of a year, they got a total profit of Rs. 11200. Find how much B gets more than A in the profit?  Pick one:	A) Rs. 700	B) Rs. 750	C) Rs. 710	D) Rs. 780	E) None of these

Solution: Explanation:   Ratio of shares of A, B and C = 45000 : 55000 : 60000   = 9 : 11 : 12   A's Share = Rs.[(9/32) × 11200] = Rs. 3150   B's Share = Rs. [(11/32) × 11200] = Rs. 3850   .: B's share is more than A by Rs.(3850 - 3150) = Rs. 700   Rs. 700nswer: Option Rs. 700
Answer: A
The length of a rectangle is two - seventh of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 5929 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 25 units? Choose the correct answer:
A) 660 sq.units  B) 440 sq.units  C) 770 sq.units  D) 550 sq.units  E) 220 sq.units

Solution: Given that the area of the square = 5929 sq.units   => Side of square = âˆš5929 =77 units   The radius of the circle = side of the square = 77 units   Length of the rectangle = 2/7* 77= 
2/7* 77 = 22
22 units   Given that breadth= 25 units   Area of the rectangle = lb = 22*25= 
22*25 = 550
550sq.units   Answer:550 sq.units
Answer: D
A box contains four cent coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.  Choose the correct choice from the following options.
A) 1/5 B) 2/5 C) 3/5 D) 4/5 E) 3/4

Solution: There are four ways (2 heads in one two-headed coin and 2 heads in the other two-headed coin)   How many ways can you get heads from this entire set of coins? There are five ways (four as identified above and one from the normal coin)   Therefore probability = (number of ways to get heads from a two-headed coin)/(number of ways to get heads from any coin)   = 4/5   4/5
Answer: D
A boat goes 100 km downstream in 10 hours, and 60 km upstream in 30 hours. The speed of the stream is?  Pick one:
A) 5km/h
B) 2km/h
C) 3km/h
D) (1/2) km/h
E) E)4

Solution: 100 --- 10 DS = 10   ? ---- 1   60 ---- 30 US = 2   ? ----- 1 S = (10 - 2)/2= 
(10 - 2)/2 = 4
4 kmph   ANSW4R:4
Answer: E
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 9)%. In terms of x, how many species of bacteria will the group be able to model?
Answers.
A) x*x – 5x  B) (x)(105 – x)  C) (100)(105 – x)  D) (x)*(109 - x)  E) (x-5)/100

Solution: Initial: (x/100)*10000 = 100x (bacterial species)   After reduce BY (x - 9)%, the percentage of bacterial species = 1 - (x - 9)% = 1 - (x - 9)/100 = (109 - x)/100   Note: (x)*(109 - x)ifference between reduce to[means: the remain] and reduce by[means: the remain = 1 -reduce by]   So, the number of bacterial species after reducing: 100x*(109 - x)/100 = (x)*(109 - x)   Ans is (x)*(109 - x).
Answer: D
The ratio of red boxes to blue boxes in a certain warehouse is 15 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse? Choose the correct choice from the following answers:
A) 37  B) 74  C) 111  D) 148  E) 80

Solution: Ratio = R/B = 15/25 or R = 15/25 B -----------(1)   2R/B+150 = 15/25*1/2 = 3/10 or we can say that 20R=3B+450 -------------(2)   solving (1) and (2) we get   B=50 and R = 30   so total boxes is B + R = 50+30= 
50+30 = 80
80   Hence E. 80 is the correct answer
Answer: E
What is the probability of getting a sum 9 from two throws of a dice?	Choose the correct choice from the following choices.
A) 1/9	B) 1/6	C) 1/8	D) 1/4	E) 1/12

Solution: In two throws of a dice, n(S) = (6 x 6) = 36.   Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.   P(E) =n(E)/n(S)=4/36=1/9.   hence:1/9
Answer: A
Two members of a certain club are selected to speak at the next club meeting. If there are 66 different possible selections of the 2 club members, how many members does the club have? Choose the most appropriate option.
A) 5  B) 6  C) 7  D) 8  E) 12

Solution: Method-1   Total No. of Selection of r out of n objects are defined by nCr = n! / [(r!)(n-r)!]   i.e. If total member = n   then nC2 = n! / [(2!)(n-2)!] = 66   i.e. n*(n-1)*n-2!/ [(2!)n-2!] = 66   i.e. n*(n-1) = 132   (for Positive Values of n)   therefore, n*(n-1) = 132   i.e. n= 12   Answer: Option 12
Answer: E
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choose the correct choice from the following answers
A) 3	B) 4	C) 6	D) 9	E) 12

Solution: Rate of machine R = 1/24   Rate of machine S = 1/12   Rate of R+S = 1/8   To finish the work in 2 hrs, the combined rate needs to be 1/2.   x * 1/8 = 1/2   x = 4   The answer is 4.
Answer: B
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?	Select the correct option:	A) 88	B) 98	C) 106	D) 108	E) 111

Solution: Explanation:   The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 12= 
  9 * 12 = 108
108 ways   108)
Answer: D
A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n? Choose one:
A) 33  B) 46  C) 49  D) 54  E) 86

Solution: n = 4k+1 = 5j+2   Let's start at 1 4 +1= 
4 +1 = 5
5j+2   Let's start at 1= 4(0)+1 and keep adding 4 until we find a number in the form 5j+2.   1, 5, 9, 13, 17 = 5(3)+2   The next such number is 17 + 4*5= 
17 + 4*5 = 37
37.   17+37= 
17+37 = 54
54   The answer is 54.
Answer: D
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? Pick one:
A) 45%
B) 45(5/11)%
C) 54(6/11)%
D) 55%
E) 65%

Solution: Explanation:   Number of runs made by running = 110 - (3 x 4 + 8 x 6)   = 110 - (60)= 
110 - (60) = 50
50.   Required percentage= (50/110 x 100)% =45(5/11)%   ANSWER IS 45(5/11)%
Answer: B
If 60/x is an integer and 6/x is an integer, which of the following must be true? I. 6/x is an integer II. 12/x is an integer III. 15/x is an integer
Choose the correct choice from the following answers.
A) II only
B) I only
C) III only
D) I, II only
E) II, III only

Solution: The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 6, GCD of 60 and 6, and if x=6 then ONLY I is true.   Answer: I only
Answer: B
Due to construction, the speed limit along an 7-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices.
A) 4.37
B) 8
C) 10
D) 15
E) 24

Solution: Old time in minutes to cross 7 miles stretch = 7*60/55 = 7*12/11 = 7.63   New time in minutes to cross 7 miles stretch = 7*60/35 = 7*12/7= 
7*12/7 = 12
12   Time difference= 4.37   4.37ns:4.37
Answer: A
X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following could be the difference of X and Y ? Choose the most appropriate option
A) 73 B) 44 C) 36 D) 29 E) 8

Solution: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y:   X = 10a + b   Y = 10a + b   X - Y = (10a + b) - (10a + b) = 9(a - b). As you can see the difference must be a multiple of 9. Only option C is a multiple of 9.   Answer: 36.
Answer: C
Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Answers
A) 2 hours 30 minutes  B) 3 hours  C) 2 hours  D) 1 hour 45 minutes  E) None of these

Solution: Explanatory Answer   Let Jane travel 'x' at 60 miles per hour.   As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.   Distance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles.   Distance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles.   Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.   Therefore, total distance = 60x + 400 - 80x.   Total distance travelled = 340 miles.   Therefore, 340 = 60x + 400 - 80x   20x = 60 or x = 3 hours.   Choice 3 hours is the correct answer.
Answer: B
If 100<x<199 and 20<y<100, then the product xy CANNOT be equal to: Choose the correct choice from the following answers
A) 1900 B) 19,303 C) 19,356.732 D) 19,502 E) 19,909

Solution: Correct Answer: (A)   Determine the range of xy by multiplying the two extremes of each individual range together. The smallest value of xy must be greater than 100 * 20. The largest value must be less than 199 * 100. This means that 2000 < xy < 19,900. (1900) is outside of this range, so it is not a possible product of xy.
Answer: A
26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Options.
A) 30 B) 39 C) 60 D) Data inadequate E) None of these

Solution: Capacity of the tank = 26 Ã— 13.5= 351 litres   When the capacity of each bucket = 9 litres, then the required no. of buckets   = 351â„9 = 39   Answer 39
Answer: B
A train of length 250 m crosses a bridge of length 120m in 20 seconds. What is the speed of train?	Pick one.
A) 33
B) 27
C) 66.6
D) 22
E) 72

Solution: Sol : (length of train+ length of bridge) = speed of train x Time   (250+120) = 20 x Speed   Speed = 370/20= 
370/20 = 37/2 = around 18.5
18.5 m/s=66.6 km/h   ANSWER=66.6
Answer: C
Two parallel sides of a trapezium are 4 cm and 5 cm respectively. The perpendicular distance between the parallel sides is 6 cm. Find the area of the trapezium.	Answers: A) 24cm2 B) 25cm2 C) 26cm2 D) 27cm2 E) 28cm2

Solution: Area of trapezium when height and two parallel sides are given = 1/2×h×(a+b)= 1/2x 6 x (4 + 5) = 27cm2   Answer 27cm2
Answer: D
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 60 and a standard deviation of 12, which of the following is exactly 1.95 standard deviations more than the mean?	Choose the correct choice from the following answers:
A) a) 48 B) b) 60 C) c) 72 D) d) 77.5 E) e) 83.4

Solution: Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.   Here, we're told two things about a group of numbers:   1) The average of the group is 60   2) The standard deviation of the group is 12   If you go 1 SDupfrom the average, you hit.....60+12 = 72   If you go 1 SDdownfrom the average, you hit.....60-12 = 48   If you go 2 SDsupfrom the average, you hit.....60+2(12) = 84   If you go 2 SDsdownfrom the average, you hit.....60-2(12) = 36   Etc.   Here, we're asked for the number that is EXACTLY 1.95 SDs above the mean....   1.95 SDsupwould be.....60 + 1.95(12) = 83.4   e) 83.4
Answer: E
For how many values n is 2^x = x^2 ?
Choose the correct choice from the following choices
A) Three	B) One	C) Two	D) None	E) More than Three

Solution: draw a graph with x^2 and 2^x, you'll see 3 intercepts between the 2 curves and the answer is Three
Answer: A
In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 91% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?  Choose the correct choice.
A) 3% B) 5% C) 2.5% D) 4.2% E) 6%

Solution: Explanation :   Let there be 100 products in the stockpile. 40% and 30% were manufactured by M1 and M2 respectively. So, 30% are manufactured by M3.   Products from M1 = 40, from M2 = 30 and from M3 = 30.   Number of defective products from M1 = 0.03 x 40 = 1.2, from M2 = 0.01 x 30 = 0.3 and from M3 = 0.09 x 30 = 2.7   Therefore, total number of defective products = 4.2.   Answer : 4.2%
Answer: D
Last week John spent 30 percent of his wages on recreation. This week, his wages are 25 percent less than last weekʼs wages and he spent 20 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week?
Choose the correct choice:
A) 60% B) 70% C) 80% D) 90% E) 50%

Solution: Say John's wages last week were $100, so he spent  0.30*100= 
 0.30*100 = 30
$30 on recreation;   This week's wages is 0.75*100= 
0.75*100 = 75
$75, so he spends   0.2*75= 
  0.2*75 = 15
$15 on recreation;   15/30= 
15/30 = 1/2 = around 0.5
0.50, hence the amount he spends on recreation this week is 50% of the amount he spent on recreation last week:   30*0.5= 
  30*0.5 = 15
15   Answer: 50%
Answer: E
What number times (1⁄6)^2 will give the value of 6^3?
Choose the correct choice from the following options:  A) 6  B) 36  C) 216  D) 1296  E) 7776

Solution: x*(1/6)^2 = 6^3   x = 6^2*6^3 = 6^5 = 7776   The answer is 7776.
Answer: E
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss?  Choose the correct choice from the following choices:	A) lost 10 cents	B) lost 4 cents	C) broke even	D) gained 4 cents	E) gained 10 cents

Solution: 20 % profit on $ 1.20   = $ 20/100 × 1.20   = $ 0.20 × 1.20   = $ 0.24   Similarly, 20 % loss on $ 1.20   = $ 20/100 × 1.20   = $ 0.20 × 1.20   = $ 0.24   Therefore, in one pipe his profit is $ 0.24 and in the other pipe his loss is $ 0.24.   Since both profit and loss amount is same so, it’s broke even.   Answer is broke even.
Answer: C
Find the area of a parallelogram with base 12 cm and height 10 cm? Choose the correct choice from the following answers.
A) 297 cm2	B) 384 cm2	C) 120 cm2	D) 267 cm2	E) 186 cm2

Solution: Area of a parallelogram   = base * height   = 12 * 10= 
12 * 10 = 120
120 cm2   Answer: 120 cm2
Answer: C
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 5 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Choose the most appropriate option
A) 18/79  B) 1/6  C) 1/25  D) 1/50  E) 1/900

Solution: If it takes 5 minutes to inspect one vehicle, the # of vehicles that can be inspected in 3 hours (180 minutes) = 180/5= 
180/5 = 36
36. Hence, for calculating the probability that the police will find the transmitter within three hours, the favorable cases= 36. Now, we need to figure out the total # of cases.   The total # of cases = Total # of such cars possible. The details given about the car is that it starts with 79, which leaves 2 more digits, both of which can be filled by all 10 numbers (0-9). In addition, we have 3 letters, each of which can be filled by any from the set {A,B,C}. Hence the total # of such cars possible = 10*10*3*3= 
10*10*3*3 = 900
900   So, the probability that the police will find the transmitter within three hours= 36/900 = 1/25. Option 1/25
Answer: C
Pipe P can drain the liquid from a tank in 3/4 the time that it takes pipe Q to drain it and in 1/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
Choose the correct choice from the following answers
A) 9/29 B) 8/23 C) 9/25 D) 17/29 E) 3/4

Solution: Suppose Q can drain in 1 hr. So, rQ = 1/1= 
1/1 = 1
1   So, rP= 1/[(3/4)rQ] = 4/3   Also, rP = rR/(1/3) => 4/3 = rR/(1/3) => rR = 4/9   Let H is the time it takes to drain by running all 3 pipes simultaneously   So combined rate = rC = 1/H = 1 + 4/3 + 4/9 = 25/9 = 1/(9/25)   Thus running simultaneously, Pipe Q will drain 9/25 of the liquid.   Thus answer = 9/25.
Answer: C
In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 8P pots?  Choose the correct choice from the following answers: A) 60/M B) 8M C) 2M/15 D) 480M E) M/60

Solution: The time it takes to wash 8P pots is 8M minutes which is 8M / 60 = 2M/15 hours.   The answer is 2M/15.
Answer: C
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Choose the correct choice from the following options
A) 76 cm2
B) 15 cm2
C) 76 cm2
D) 17 cm2
E) 35 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle   = 2.5 * 28/2= 
2.5 * 28/2 = 35
35 cm2   Answer: 35 cm2
Answer: E
The sum of three numbers is 136. If the ratio between first and second be 2 : 3 and that between second and third is 5 : 3, then the second number is Choose the most appropriate option: A) 38 B) 27 C) 99 D) 60 E) 82

Solution: Explanation:   A : B = 2 : 3 and B : C = 5 : 3   =>A : B : C = = 10 : 15 : 9.   Second number = = 60.   Answer: 60) 60
Answer: D
sunil start from home at 4 pm and reaches school everyday at 5pm to pick up his children.on saturday the school got over ai 4 pm and children started walking towards home.sunil met them on the way and returned home 15min early.if speed of sunil is 35km/hr then for how many min did children walk? what is speed of children???  Choices:  A) 4 km/hr  B) 5 km/hr  C) 6 km/hr  D) 7 km/hr  E) 8 km/hr

Solution: sunil reach 15 min early. it is time save at both for going to school and coming to home.   so, sunil meet children befor 15/2= 
15/2 = 15/2 = around 7.5
7.5 min.   speed of sunil is 35km/hr i.e. 583.33 m/min.   remaining distance to cover by sunil or else we can say total distance cover by children is 7.5*583.33=4375 m   Sunil meet children after 52.5 min i.e. (1hr-7.5min).   so 4375 is distance cover by children in 52.5min.   so, speed of children is 4375/52.5=83.33m/min=5 km/hr.   ANSWER:5 km/hr
Answer: B
A train 75 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?	Options:
A) 11 s	B) 5 s	C) 7 s	D) 12 s	E) None of these

Solution: We know from the formula Time = Distance/ Speed   Thus, Time = 75/ 54 x 5/18   or, Time = 5 sec.   ANSWER:5 s
Answer: B
A man purchases 2 watches for $ 560. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are : Select
A) $ 260 and $ 300	B) $210 and $ 350	C) $224 and $336	D) $560 and $560	E) $224 and $ 350

Solution: x + y = 560 --- (1)   1.15x + 0.9y = 560 --- (2)   (2) - (1) --> 0.15x - 0.1y = 0   15x = 10y   x/y = 2/3 = (2*112)/(3*112) = 224/336   Answer: $224 and $336
Answer: C
A car travels 25km an hour faster than a bus for a journey of 500km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are  Choose the correct choice from the following answers:	A) 25km/hr and 40km/hr respectively	B) 25km/hr and 60 km/hr respectively	C) 25km/hr and 50km/hr respectively	D) None of these	E) Cannot be determined

Solution: Let the speeds of bus and car be x and y. Here, y = x +25   As per the question, 500/x - 500/x+25 =10   ⇒ 500(x + 25) − 500(x) =10x(x+25) ⇒ x = 25, y = 50.   Answer: 25km/hr and 50km/hr respectively.
Answer: C
A recycling facility is staffed by 7 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager’s wages account for 1/7 of all wages paid at the facility, what is the value of n?
Choose one.
A) 3/7 B) 4/5 C) 7/5 D) 7/6 E) 7/4

Solution: Say each floor worker is paid $x, then the manager is paid $xn.   Total salary would be 7x+xn and we are told that it equals to 7xn:   7x+xn=7xn --> reduce by x: 7+n=7n -->6n= 7   n = 7/6   Answer: 7/6
Answer: D