MU-NLPC/Calc-aqua_rat huggingface dataset:
Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $68 after it went on sale for 15% off, what is the difference between the original price and the final price? Choose the most appropriate option.
A) $0.00
B) $1.00
C) $3.40
D) $5.00
E) $6.80

Solution: 0.85*{Original Price} = $68 --> {Original Price} = $80.   {Final Price} = $68*1.25= 
68*1.25 = 85
$85.   The difference= $85 - $85 = $5.   Answer: $5.00.
Answer: D
A 6000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?	Choose the correct option:
A) 8
B) 12
C) 18
D) 24
E) 36

Solution: In: we have: 1,000/2min = 500 litres per minute   Out: we have: 1,000/4 + 1,000/6   Then do: IN - OUT to figure out the net inflow per minute (you get 83.3). Then divide the total number of litres you need (3,000 by that net inflow to get the minutes) - 36 min. Answer 36.
Answer: E
A train 360 m long is running at a speed of 54 km/hr. In what time will it pass a bridge 140 m long?  Choose the correct choice from the following choices:  A) 40 sec  B) 11 sec  C) 88 sec  D) 33.33 sec  E) 10 sec

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec   Total distance covered= 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 1/15 = 33.33 sec   Answer: 33.33 sec
Answer: D
After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 5535. What was the number of original inhabitants?	Choose the correct choice from the following.
A) 7900	B) 8200	C) 8500	D) 8800	E) 9100

Solution: Let the total number of original inhabitants be x.   (75/100) * (90/100) * x = 5535   (27/40) * x = 5535   x = 5535 * 40 / 27= 
5535 * 40 / 27 = 8_200
8200   The answer is 8200.
Answer: B
A particular parking garage is increasing its rates by 30 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month? Choose the correct answer.
A) 12%	B) 16%	C) 20%	D) 23%	E) 25%

Solution: Let x be the original number of days that Bob used the garage.   Let P be the original cost per day.   Let N*x be the new number of days that Bob uses the garage.   N*x*1.3P = x*P   N*x = x/1.3 which is about 0.77x, thus a 23% reduction.   The answer is 23%.
Answer: D
20 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?  Choose the correct option: A) None of these B) 380 C) 312 D) 324 E) 342

Solution: Explanation :   He can go in any bus out of the 20 buses.   Hence He can go in 20 ways.   Since he can not come back in the same bus that he used for travelling,   He can return in 19 ways.   Total number of ways = 20 x 19 = 380. Answer : Option 380
Answer: B
A man sitting in a train which is traveling at 30 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.? Pick:
A) 50 kmph	B) 82 kmph	C) 62 kmph	D) 65 kmph	E) 75 kmph

Solution: Relative speed = 280/9 m / sec = ((280/9)*(18/5))= 
((280/9)*(18/5)) = 112
112 kmph.   Speed of goods train= (112 - 30)= 
(112 - 30) = 82
82 kmph.   Answer : 82 kmph.
Answer: B
The average age of 3 boys is 30 years and their ages are in the proportion 1:2:3. The age of the youngest boy is?
Choose one
A) 15years B) 20years C) 22years D) 25years E) 30years

Solution: Total age of 3 boys = 30*3= 
30*3 = 90
90   ratio of their ages= 1:2:3   15yearsge of the youngest = 90*1/6= 
90*1/6 = 15
15 years   15yearsnswer is 15years
Answer: A
Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 50 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?	Options:
A) a. 0.156	B) b. 0.01506	C) c. 0.0156	D) d. 0.0001566	E) e. 0.00001566

Solution: Let total Production be 10000 units....   A produces 4000 units and 36 units are defective   B produces 6000 units and 120 units are defective   So, Out of total 10,000 units 156 units are defective...   So the required probability = 156/10000= 
156/10000 = 39/2_500 = around 0.0156
> 0.0156   Answer will be (c. 0.0156)
Answer: C
In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled one that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?	Options
A) d	B) 1/3*d	C) 1/2*d	D) 3/4*d	E) 3/2*d

Solution: Solution:   Lets look at the information given in the question...   Total time travelled = 2 hrs   Distance travelled first hour = d   Distance travelled second hour = d   The question is asking for the avg speed at which the car travels for 2 hrs   We know that avg speed = total distance/total time   Lets place the information given in the question to the formula above = (d+d)/2   =d   We find that option A is the answer as it gives the same expression as found in our calculation above. dnswer option d.
Answer: A
City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:20 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?	Choices
A) 5:00
B) 5:30
C) 6:00
D) 6:20
E) 7:00

Solution: Train C has traveled 20 mi in the half hour before Train D has started its journey.   140-20= 
140-20 = 120
120   40+20= 
40+20 = 60
60 mph   120 mi/ 60 mph= 2 hrs   4:20pm + 2 hrs = 6:20pm   Answer:   D. 6:20
Answer: D
The rate at which a sum becomes four times of itself in 15 years at S.I., will be : Pick:	A) 10 %	B) 15 %	C) 20 %	D) 40 %	E) None

Solution: Sol.   Let sum = x. Then, S.I. = 3x   ∴ Rate = [100 * S.I. / P*T] = [100 * 3x / x * 15]% = 20%.   Answer 20 %
Answer: C
Consider a quarter of a circle of radius 25. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.  Choose the correct option:
A) 16*(sqr2 -1)
B) 8*(sqr3 -1)
C) 25*(sqr2 - 1)
D) 12* (sqr7 -1)
E) None of these

Solution: I got 16/(sqr2 +1) and just forgot to multiply by (sqr2 -1).   Answer is 25*(sqr2 - 1)
Answer: C
Find large number from below question The difference of two numbers is 1000. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choose the correct choice from the following choices:
A) 1345
B) 1197
C) 1540
D) 1600
E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1000 = 6x + 15   5x = 985   x = 197   Large number = 197 +1365 = 1197   1197
Answer: B
From the starting point in a boat race, one competitor started to sail north at a speed of 1.3 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?  Choose the most appropriate option:
A) 8.8
B) 12.
C) 12.5.
D) 14.
E) 15.4.

Solution: Both competitors are sailing making angle of 90 degrees.   8.8fter 5 hrs one competitor will cover a distance of = 1.3 *5= 
1.3 *5 = 6.5
6.5 KM   8.8nd, other competitor will cover a distance of= 1.2*5= 
1.2*5 = 6
6KM   distance between them after 5 hrs= (6.5^2+ 6^2)^1/2= 8.8KM   8.8 is the answer
Answer: A
What inequality represents the condition 1<x<5?  Select:	A) |x|<3	B) |x+5|<4	C) |x-3|<2	D) |-5+x|<4	E) |3+x|<5

Solution: 1<x<5 represents segment with   length:   5-1= 
  5-1 = 4
4   center:   (5+1)/2= 
  (5+1)/2 = 3
3   For any |x-a|<b a is a center and b is a half of length. So, |x-3|<4/2 represents our inequality (answer |x-3|<2)
Answer: C
The ratio of two quantities is 5 to 6. If each of the quantities is increased by 3, what is the ratio of these two new quantities?
Choose one:
A) 2/15 B) 7/5 C) 9/5 D) It cannot be determined from the information given. E) 12/17

Solution: let the actual ratio be 5k/6k, increase numerator and denominator by 4=> 5k+3/6k+3   Until the value of k is unknown we can not determine the actual ratio.   OR   let the actual be 3/4. After increasing 3 => 6/7   let the actual be 6/8. After increasing 3 => 9/11   Therefore without actual quantities we cannot determine the actual ratio.   Answer : It cannot be determined from the information given.
Answer: D
How many different subsets of the set {0, 1, 2, 3, 4, 5,6,7} do not contain 0? Select the correct option.
A) A.16	B) B.72	C) C.93	D) D.32	E) E.64

Solution: Number of subset   Since we have 7 digits other than 0, we can take any numbers from the set of 7 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations.   7c1+7c2+7c3+7c4+7c5+7c6+7c7=92   And one set is the NULL set having no elements in it so    92+1= 
 92+1 = 93
93.   ANSWER C.93.
Answer: C
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?  Choose the correct choice from the following:
A) 4538	B) 4529	C) 4528	D) 4530	E) 4598

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls   = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5   = Rs. 4530   Answer: 4530
Answer: D
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?	Choose the correct choice from the following options:	A) 09:20p.m	B) 04:40p.m	C) 10.30p.m	D) 02.32p.m	E) 12:23p.m

Solution: D = 70 * 1 ½ = 105 km   RS = 85 – 70 = 15   T = 105/15= 
105/15 = 7
7 h     3.30 + 7= 
  3.30 + 7 = 10.3
10.30 p.m.   Answer:10.30p.m
Answer: C
Two positive integers differ by 4, and sum of their reciprocals is 4. Then one of the numbers is
Choose the correct choice from the following choices:
A) a) 3
B) b) 1
C) 2
D) d) 21
E) e) 28

Solution: Algebraic approach:   Let n be the smaller integer => 1/n + 1/(n+4) = 4   or ((n+4)+n)/n(n+4) =4 or (n^2+4n)*4 =2n+4 or n=2 as n cannot be -negative   Solve for n => n=2. Hence,   2
Answer: C
C and D started a business investing Rs. 49,000 and Rs. 35,000 respectively. In what ratio the profit earned after 4 years be divided between C and D respectively?
Pick.
A) 7:4
B) 7:5
C) 6:4
D) 5:5
E) None of these

Solution: C:D= 49000 : 35000 = 7:5.   ANSWER:7:5
Answer: B
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?  Choose the most appropriate option:  A) 18 days  B) 20 days  C) 24 days  D) 30 days  E) 34 days

Solution: Explanation:   2c = ¼ + 1/6 – 1/3 = 1/12   c = 1/24 => 24 days   Answer: 24 days
Answer: C
Look at this series: 97, 97, 97, 87, 87, 87, 77, 77, 77 ... What number should come next?  Choices:
A) 66	B) 67	C) 68	D) 69	E) 70

Solution: Explanation:   In this series, each number is repeated, then 10 is subtracted to arrive at the next number.   Answer: Option 67
Answer: B
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choose the correct choice from the following answers:
A) 80  B) 100  C) 25  D) 206  E) 300

Solution: We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).   Required number   of ways	= (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)   = (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2)   = (24 + 90 + 80 + 15)= 
(24 + 90 + 80 + 15) = 209
209.   ANSWER 206
Answer: D
The sum of all the integers d such that -26 < d < 24 is
Choose one: A) 0 B) -2 C) -25 D) -49 E) -51

Solution: Easy one -   -25, -24, -23,-22,...... -1,0, 1, 2...., 22, 23   Cancel everyhitng and we're left with - -25 and -24 d= -49.   -49 is the answer.
Answer: D
Of the four numbers, whose average is 80, the first is one-fourth of the sum of the last three. The first number is ?	Select the correct option.
A) 28 B) 64 C) 11 D) 48 E) 10

Solution: Explanation:   Let the first number be x,   Then, sum of the four numbers = x + 4x = 5x.   so, 5x/4 = 80 or x = (80 * 4) / 5= 
(80 * 4) / 5 = 64
64   Answer: 64
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?  Answers:
A) Rs.4532 B) Rs.4526 C) Rs.4598 D) Rs.4530 E) Rs.4528

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls   = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5   = Rs.4530   Answer:Rs.4530
Answer: D
In how many different number of ways 4 boys and 2 girls can sit on a bench?  Pick
A) 700 B) 720 C) 780 D) 800 E) 810

Solution: npn = n!   6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720   720
Answer: B
The length of a rectangle is three - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2500 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 15 units?
Select the correct option:
A) 440 sq.units	B) 550 sq.units	C) 455 sq.units	D) 450 sq.units	E) 150 sq.units

Solution: Given that the area of the square = 2500 sq.units   => Side of square = âˆš2500 = 50 units   The radius of the circle = side of the square = 50units.   Length of the rectangle = 3/5 * 50= 
3/5 * 50 = 30
30 units   Given that breadth= 15 units   Area of the rectangle = lb = 30 * 15= 
30 * 15 = 450
450 sq.units   Answer:450 sq.units
Answer: D
If Josh, Doug, and Brad have a total of $80 between them, and Josh has five times as much money as Brad but only half as much as Doug, how much money does Doug have?  Choose the most appropriate option:
A) $8	B) $9	C) $27	D) $32	E) $50

Solution: Josh+Doug+Brad = 72 ; Josh = 5 Brad, Josh =1/2 Doug   Josh+1/5 Josh+ 2/1 Josh = 80 (substituted the given values)   Josh = 25. 25= 1/2 Doug => Doug =50   Answer is $50.
Answer: E
Ramu bought an old car for Rs. 34000. He spent Rs. 12000 on repairs and sold it for Rs. 65000. What is his profit percent?
Answers
A) 16%  B) 17%  C) 18%  D) 41%  E) 13%

Solution: Total CP = Rs. 34000 + Rs. 12000   = Rs. 46000 and SP = Rs. 65000   Profit(%)   = (65000 - 46000)/46000 * 100   = 41%   Answer: 41%
Answer: D
The compound ratio of 1:4, 2:5 and 1:6?	Pick:
A) 1:3 B) 1:4 C) 1:10 D) 1:30 E) 1:60

Solution: 1/4 * 2/5 * 1/6 = 1/601:60Answer: 1:60
Answer: E
When a plot is sold Rs. 18,700, the owner loses 15%. At what price must the plot be sold in order to gain 15%? Choose the correct choice from the following answers.
A) Rs. 21,000 B) Rs. 22,500 C) Rs. 25,300 D) Rs. 25,800 E) None

Solution: Solution   85 : 18700 = 115 : x or	x = (18700 x 115 / 85)   = 25300.   Hence, S.P. = Rs. 25300.   Answer Rs. 25,300
Answer: C
In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5 feet 8 nches. Find the % correction made by the candidate from his stated height to his actual height?	Choose the correct choice from the following.
A) 10 B) 20 C) 30 D) 17 E) 50

Solution: His height was = 5 feet 8 inch = 8 + 60= 
8 + 60 = 68
68 inch. Required % correction=68*(1.25-1)= 
68*(1.25-1) = 17
17   17
Answer: D
Three candidates contested an election and received 1136, 7636 and 13628 votes respectively. What percentage of the total votes did the winning candidate got?  Pick:
A) 55%
B) 56%
C) 57%
D) 60.8%
E) 59%

Solution: Total number of votes polled = (1136 + 7636 + 13628)= 
(1136 + 7636 + 13628) = 22_400
22400   So, Required percentage= 13628/22400 * 100 = 60.8%   ANSWER : 60.8%
Answer: D
The total of company C's assets in 1994 was 600% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:  Choose the correct option: A) 7N B) 8N C) 9N D) 12N E) 35N

Solution: Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.   In 1993, the total assets were 400% GREATER, which means 1992 PLUS 400% of 1992:   $100 + 4x$100 = $100 + $400 = $500   In 1994, the total assets were 600% GREATER than they were in 1993, which means 1993 PLUS 600% of 1993:   $500 + 6x$500 100 +  400= 
100 +  400 = 500
$500   In 1994, the total assets were 600% GREATER than they were in 1993, which means 1993 PLUS 600% of 1993:   $500 + 6x$500= $500 + $3000 = $3500   This is 35 times the 1992 number, so the correct answer is 35N.   35N500 +  3000= 
500 +  3000 = 3_500
$3500   This is 35 times the 1992 number, so the correct answer is 35N.   35N
Answer: E
Suppose 8 monkeys take 8 minutes to eat 8 banana's.How many minutes would it take 3 monkeys to eat 3 banana's?
Choose the correct choice from the following options:
A) 5 min
B) 6 min
C) 7 min
D) 8 min
E) 9 min

Solution: there are equal no. of monkeys and equal no. of bananas and they take equal time and the time is 8 mint to eat a banana so each monkey take 8 mints to eat a banana's so 3 monkeys will take 8 mints to eat 3 banana's.   ANSWER:8 min
Answer: D
10 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place? Choose the correct choice from the following answers:
A) 30  B) 21  C) 18  D) 15  E) 45

Solution: the formula to count handshakes is n(n−1)2n(n−1)2   Where n is the number of people   => 10(9-1)/2 = 10*9/2 = 90/2= 
90/2 = 45
45=> the answer is 45(45)
Answer: E
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6360, what is the length of the plot in metres?  Pick
A) 333
B) 200
C) 240
D) 276
E) 1999

Solution: Let length of plot = L meters, then breadth = L - 20 meters   and perimeter = 2[L + L - 20] = [4L - 40] meters   [4L - 40] * 26.50 = 6360   [4L - 40] = 6360 / 26.50= 
6360 / 26.50 = 240
240   4L= 280   L = 280/4= 
280/4 = 70
70 meters.   Answer: 240
Answer: C
A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number T of tickets sold by the male members of the association
Pick:
A) 50  B) 56  C) 58  D) 62  E) 66

Solution: Given that, Total average T sold is 66, Male/Female = 1/2 and Female average is 70. Average of Male members isX.   (70*F+X*M)/(M+F) = 66 -> Solving this equation after substituting 2M=F, X = 58. ANS 58.
Answer: C
What is the simplified result of following the steps below in order?
(1)	add 5y to 2w
(2)	multiply the sum by 3
(3)	subtract w + y from the product Choose the correct choice from the following choices:	A) 5w + 14y	B) 5x + 16y	C) 5x + 5y	D) 6x + 4y	E) 3x + 12y

Solution: 3(5Y+2W) -W-Y= 14Y+5W   '5w + 14y' is the answer
Answer: A
The length of the bridge, which a train 120 m long and traveling at 45 km/hr can cross in 30 sec is?	Select:  A) 377  B) 367  C) 237  D) 255  E) 267

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (120 + x)/30 = 25/2   x = 255 m.   Answer: 255
Answer: D
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 30% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?	Choose the correct choice from the following.
A) 5% B) 10% C) 15% D) 25% E) 20%

Solution: The formula is   n(AUBUC) = n(A)+n(B)+n(C)-B+A-N   where B is both (it will sum of (AB), (BC), (CA)).   and A is All   and N is neither   so plugging in we get   100 = 60+50+30+10-B-0   B = 50.   exactly two = 50 - 3(10) = 20   subtracting 10% three times as this value is including in all the (AB), (BC), (CA).   Answer 20%
Answer: E
Paul's income is 20% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income? Answers
A) 26/27	B) 13/17	C) 13/19	D) 12/19	E) 11/19

Solution: M26/27KE R = 10   P = 0.8R = 8   Q = 0.8P = 6.4   S= 0.6P = 4.8   FOR TH26/27T WE GET S = 10.8   26/27ND Q 10.4   SO 10.4/10.8= 2.6/2.7   26/27ns:26/27
Answer: A
Mercury travels around the Sun at an approximate speed of 28.8 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)	Choose one
A) 172,800  B) 124,600  C) 93,400  D) 72,200  E) 60,100

Solution: The speed is 28.8 miles/s. Then 28.8/0.6= 
28.8/0.6 = 48
48 km/s   48*3600= 172,800 kph   The answer is 172,800.
Answer: A
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?  Pick:  A) 75%  B) 25%  C) 28%  D) 85%  E) 28%

Solution: 800 --- 200   100 --- ? => 25%   Answer: 25%
Answer: B
A man can do a job in 15 days. His father takes 10 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?  Choose the correct choice from the following choices:
A) 6.3
B) 6.9
C) 7.1
D) 6.1
E) 6.2

Solution: 1 day work of the three persons = (1/15 + 1/10 + 1/25) = 21/150   So, all three together will complete the work in 150/21 = 7.1 days.   Answer:7.1
Answer: C
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.  Choose the correct choice from the following choices.
A) 2660	B) 1000	C) 2300	D) 4000	E) None of these

Solution: Explanation :   A is a working member and for that, he receive 5% of the profit   = 5% of 7400 = 5*7400/100= 
5*7400/100 = 370
370   Remaining amount= 7400-370= 
7400-370 = 7_030
7030   Ratio of their investments= 6500*6 : 8400*5 : 10000*3   = 65*6 : 84*5 : 100*3 = 13*6 : 84 : 20*3 = 13*2 : 28 : 20   = 13 : 14 : 10   Share of B in the profit = 7030 * (14/37) = 190*14= 
190*14 = 2_660
2660. 2660nswer : Option 2660
Answer: A
Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 3010 miles? Choose the correct choice.
A) Five hours and 0 minutes.
B) One hour and 10 minutes.
C) Two hours and 25 minutes.
D) Three hours and 15 minutes.
E) Four hours and 20 minutes.

Solution: Answer is A. Five hours and 0 minutes.   Since they are racing towards each other, the speed is accumulative, ie. 350 mph + 350*0.72 = 602 (0.72 because the second train is 28% slower)   So time before collision is total distance / total speed = 3010/602= 
3010/602 = 5
5 hours
Answer: A
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? Pick
A) 120 sec  B) 176 sec  C) 178 sec  D) 187 sec  E) 189 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) }   = LCM (60, 40) = 120 sec.   120 secnswer: 120 sec
Answer: A