MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?	Select the correct option:
A) 140 sq.units	B) 176 sq.units	C) 178 sq.units	D) 189 sq.units	E) 678 sq.units

Solution: Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140 sq.unitsrea of the rectangle = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140 sq.unitsnswer:140 sq.units
Answer: A
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together? Choose the correct choice from the following:
A) 1887 ways
B) 1440 ways
C) 1657 ways
D) 1652 ways
E) 6745 ways

Solution: In the word, "MATERIAL" there are three vowels A, I, E.   If all the vowels are together, the arrangement is MTRL'AAEI'.   Consider AAEI as one unit. The arrangement is as follows.   M T R L A A E I   The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways.   Number of required ways of arranging the above letters = 5! * 4!/2!   = (120 * 24)/2= 
(120 * 24)/2 = 1_440
1440 ways.   Answer:1440 ways
Answer: B
A worker can load one truck in 5 hours. A second worker can load the same truck in 4 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
Choose the correct choice from the following options:
A) 1.8  B) 2.0  C) 2.2  D) 2.4  E) 2.6

Solution: The workers fill the truck at a rate of 1/5 + 1/4 = 9/20 of the truck per hour.   Then the time to fill one truck is 20/9 which is about 2.2 hours.   The answer is 2.2.
Answer: C
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?	Choose the correct choice:
A) 1/3
B) 1/7
C) 1/4
D) 1/2
E) 1/9

Solution: 3h = 5c   6c = 10s   1/3 = 21h*3 + 15c*2   = 63h + 30c   = 105c + 30c = 135c   B 105  + 30= 
105  + 30 = 135
135c   B= 15c*6 + 40s*7 1/2   = 90c + 300s   = 90c + 180c = 270c   1/3:B 90  + 180= 
90  + 180 = 270
270c   1/3:B= 135:270   27:52   1/3 = 27/79 = 1/3   1/3nswer: a
Answer: A
The arithmetic mean of the set S = {5, K, 4, 10, M, 5} is 6. If K and M are integers, and K ≠ M, what is the median of the numbers in the set? Choose the most appropriate option.
A) 4
B) 4.5
C) 5
D) 5.5
E) 6

Solution: The sum of the numbers is 6*6= 
6*6 = 36
36   K+M= 36 - 10 - 5 - 5 - 4= 
36 - 10 - 5 - 5 - 4 = 12
12   Since K ≠ M, K and M do not equal 6.   Thus one of the two numbers is 5 or less and one is 7 or more.   Then middle two numbers in the set are 5 and 5.   The median is 5.   The answer is 5.
Answer: C
An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 14 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days? Select the correct option:
A) 9 and 6/7 pounds  B) 10 and 1/10 pounds  C) 10 and 2/5 pounds  D) 11 pounds  E) 11 and 1/7 pounds

Solution: Solution: Average weight = Total weight/number of packages. The total weight on Tuesday was 6 * (11 and 2/3 pounds), or 70 pounds. The total weight on Wednesday was 14 * (9 and 3/7 pounds), or 132 pounds. The sum of the weights for both days is 132 + 70, or 202 pounds. The average is 202 pounds/20 packages, or 10 and 1/10 pounds per package.   Correct answer: 10 and 1/10 pounds
Answer: B
The area of the largest circle that can be drawn inside a square of side 42 Cm in length is:  Choose the correct choice:	A) 1200	B) 1428	C) 1420	D) 1356	E) 1386

Solution: Radius of required circle = 21 Cm   its area = 22/7 × 21 × 21   66 × 21= 1386 Cm(power)2   Answer is 1386.
Answer: E
Six computers, each working at the same constant rate, together can process a certain amount of data in 6 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 4 days?	Choose the correct choice from the following answers
A) 3
B) 5
C) 6
D) 9
E) 12

Solution: Explanation: If six computers require 6 days to process the data, thats   a total of 36 computer-days the product of 6 and 6. If you change the number   of computers or the number of days, 36 will have to remain the product, whether   that means 36 days of one computer or one day with 36 computers.   In 4 days, the number of computers is:   4c = 36   c = 9   9 computers is 3 more than the 6 that it took to do the job in 6 days, so   the correct choice is (3).
Answer: A
he ratio between the sale price and the cost price of an article is 5:1. What is the ratio between the profit and the cost price of that article?	Pick one.
A) 2:6  B) 2:9  C) 2:4  D) 2:1  E) 2:5

Solution: Let C.P. = Rs. x and S.P. = Rs. 5x.   Then, Gain = Rs. 4x   Required ratio = 2x : x = 2:1   Answer:2:1
Answer: D
Maggie has to buy 50 toys from a toy shop. She buys 13 hoola hoops, 15 beach balls, and 12 baseball bats. What percentage of Toys has she not bought ?	Choose the correct choice.
A) 26 %  B) 34 %  C) 30 %  D) 20 %  E) 38 %

Solution: Explanation :   Toys not bought = 50 - 13 - 15 - 12= 
50 - 13 - 15 - 12 = 10
10   Toys not bought percentage (10/50 x 100) %   Answer : 20 %
Answer: D
20 men can dig a tunnel in 30 days. If after 10 days, 20 more men are deployed to dig the tunnel, how many more days it will take to dig the whole tunnel? Choose the correct choice from the following choices:
A) 10
B) 15
C) 20
D) 25
E) 30

Solution: A   Remaining work can be completed by 20 men in   30-10= 
  30-10 = 20
20 days.   If 20 men can do X work in 20 days, and let us say 40 men take N days to do the same work.   Now, more men, less number of days (inversely proportion)   20 : 40 :: N : 20   N= 20 X 20 / 40 = 10 days.
Answer: A
A car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Select the correct option
A) 24  B) 26  C) 28  D) 30  E) 32

Solution: 36 * T = 1 km => T = 1/36 km/h   V*(T+20/3600) = 1   V (1/36 + 20/3600) = 1   V (120/3600) = 1   V = 30 km/h   The answer is 30.
Answer: D
A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent? Pick one
A) 30% B) 20% C) 23% D) 74% E) 83%

Solution: 900 ---- 270   100 ---- ? =>   30%   30%nswer:30%
Answer: A
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
Choose the correct answer:
A) 17 hours B) 18 hours C) 14 hours D) 19 hours E) 16 hours

Solution: Part filled in 2 hours = 2/6 = 1/3.   Remaining part = 1 - 1/3 = 2/3   (A + B)'s 1 hour work = 2/21   C's 1 hour work = [(A + B + C)'s 1 hour work - (A + B)'s 1 hour work]   = (1/6 - 2/21) = 1/14   C alone can fill the tank in 14 hours.   Answer:14 hours
Answer: C
A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choose the correct option:
A) 28	B) 24	C) 22	D) 20	E) 30

Solution: 1/A + 1/B + 1/C = 1/8 (Given)   Also given that A = 2B and B = 2C   => 1/2B + 1/B + 2/B = 1/8   => (1 + 2 + 4)/2B = 1/8   => 2B/7 = 8   => B = 28 hours.   28NSWER 28
Answer: A
In a certain town, there are six times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is	Pick one:  A) 1 to 4  B) 1 to 3  C) 1 to 2  D) 3 to 4  E) 6 to 7

Solution: Town state: 6 times the whole town or country   then ratio will be 6(times)/7 total(times)   So the answer is 6/7.   6 to 7
Answer: E
The simple form of the ratio 7/6:2/5 is?
Answers
A) 10:6  B) 10:3  C) 15:3  D) 25:3  E) 35:12

Solution: 7/6 : 2/5 = 35:12   ANSW35:12R:35:12
Answer: E
A bus can hold 60 passengers. If there are 12 rows of seats on the bus, how many seats are in each row? Choose the correct option
A) 6 B) 5 C) 3 D) 2 E) 12

Solution: No. of seats = 60/12= 
60/12 = 5
5   There are 5 seats in each row   Answer : 5
Answer: B
If John invested $ 1 at 4 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be	Choose the correct choice from the following answers:
A) (1.5)^4 B) (1.04)^5 C) (1.05)^4 D) 1 + (0.05)^4 E) 1 + 4(0.05)

Solution: In this prompt, the answer choices show that we don't actually have to calculate anything - we just need to 'format' the calculation correctly. We're told that the interest is COMPOUNDED ANNUALLY, so we need the Compound Interest Formula, with a Principal of $1, an R of 4% (which would 'translate' as .05) and a T of 5.We'd have....   (1.04)^5
Answer: B
Marco rode his dirt bike at 35 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 30mph, what was his average speed over the three hour portion of his ride? Choose the most appropriate option:
A) 14 mph B) 20 mph C) 70/3 mph D) 80/3 mph E) 34 mph

Solution: Average speed for first two hours, S1 = 35 mph   Distance travelled in these two hours, D1 = 70 miles   Average speed for the entire 5 hour ride, S = 30 mph   Total Distance traveller in the entire 5 hour ride, D = 30 x 5 = 150 miles.   Hence, distance traveller in the latter 3 hour period, 80/3 mph2 = 80/3 mph - 80/3 mph1 = 150 - 70= 
150 - 70 = 80
80   Average speed for the latter 3 hour period S2= 80/3 mph2/3 = 80/3   Hence, the correct answer is 80/3 mph
Answer: D
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2574?
Answers.
A) 2277
B) 2669
C) 2200
D) 2766
E) 2600

Solution: Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2574.   => (90%) of (110%) of x = Rs. 2574.   => (90/100)(110/100)x = 2574   => x = (2574 * 100)/(9 * 11)   => x = Rs. 2600   Answer: 2600
Answer: E
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square. Choose the correct choice from the following answers: A) 5:18 B) 5:71 C) 5:19 D) 5:17 E) 5:16

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 4096 = 212   a = (212)1/2 = 26 = 64   L = 2a and b = a - 24   b : l = a - 24 : 2a = 40 : 128 = 5 : 16   Answer: 5:16
Answer: E
Hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. If the total weight of two hammers and three wrenches is one-third that of 8 hammers and 4 wrenches, then the total weight of one wrench is how many times that of one hammer?
Choose one:
A) 1/2
B) 2/5
C) 1
D) 3/2
E) 2

Solution: x bé the weight of a hammer and y be the weight of a wrench.   (2x+3y)=1/3*(8x+4y)   3(2x+3y)=(8x+4y)   6x+9y=8x+4y   5y=2x   y=2x/5   Ans - 2/5
Answer: B
At a certain conference, 70% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance? Pick one.
A) 18.0%	B) 62.0%	C) 77.76%	D) 80.0%	E) 82.0%

Solution: I do not think that Venn will be helpful here. A table will make more sense. But here is my approach.   70% regestered at least 2 weeks and paid full fee.   10% paid full fee and did not registered at least 2 weeks in advance. Then 90% paid full fee and registered at least 2 weeks before.   90% *X=70% where X is the number of people who registerd 2 weeks in advance and paid full fee.(ANSWER 77.76%)
Answer: C
A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1% cash on their first $5000 of purchase, 2% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.5% on their total annual charges made on the credit card, then what was the customer's annual charge?  Choose the most appropriate option.
A) $24,000	B) $26,000	C) $28,000	D) $30,000	E) $32,000

Solution: The customer receives $50 for the first $5000.   The customer receives $100 for the next $5000.   Let x be the total amount of the customer's annual charge.   $150 + 0.03(x-10,000)=0.025x   0.005x=150   x=30,000   The answer is $30,000.
Answer: D
A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day at 1 mile faster than 2nd day for same hours. How many miles in total did she walk?	Answers
A) 63 B) 44 C) 58 D) 60 E) 62

Solution: First day - 18 miles with 3 miles per hours then total - 6 hours for that day   Second day - 4 miles per hour and 5 hours - 20 miles   Third day - 5 miles per hour and 5 hours - 25 miles   Total 18+20+25= 
18+20+25 = 63
63   63nswer: option 63.
Answer: A
A reduction of 10% in the price of oil enables a house wife to obtain 6kgs more for Rs.900, what is the reduced price for kg?	Select the correct option:  A) 13  B) 15  C) 25  D) 17  E) 19

Solution: 900*(10/100)= 
900*(10/100) = 90
90 ---- 6   ? ---- 1=> Rs.15   Answer:15
Answer: B
Given that x = 2^b – (8^31 + 16^5), which of the following values for b yields the lowest value for |x|? Choose the correct choice from the following options:
A) 91
B) 92
C) 93
D) 94
E) 113

Solution: 8^31 + 16^5 = 2^93 + 2^20   Compared to 2^93, the value of 2^20 is negligible.   2^93 - (2^93 +2^20) will minimize the value of |x|.   The answer is 93.
Answer: C
In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?  Choose the correct choice from the following answers.
A) Only 20% of the total members own three cars each. B) 48% of the total members own only one car each. C) 60% of the total members own at least two cars each. D) 80% of the total members own at least one car. E) None of these

Solution: Let total number of members be 100,   Then, number of members owning only 2 cars = 20.   Number of members owning 3 cars = 40% of 80 = 32.   Number of members owning only 1 car = 100 - (20 + 32)= 
100 - (20 + 32) = 48
48.   Thus, 48% of the total members own one car each.   ANSWER:48% of the total members own only one car each.
Answer: B
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Select:
A) Rs.1000
B) Rs.1500
C) Rs.2000
D) Rs.3000
E) Rs.3500

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   Rs.2000)
Answer: C
John was born 8 years after his father's marriage. His mother is 4 years younger than his father but 25 years older than John who is 15 years old. At what age did the father get married ?  Choose the correct choice from the following
A) 18 years  B) 20 years  C) 22 years  D) 24 years  E) 21 years

Solution: Explanation:   John's present age = 15 years.   His mother's present age = (25 + 15)= 
(25 + 15) = 40
40 years.   His father's present age= (40+ 4)= 
(40+ 4) = 44
44 years.   His father's age at the time of John's birth= (44 - 15)= 
(44 - 15) = 29
29 years.   Therefore John's father's age at the time of marriage= (29 - 8)= 
(29 - 8) = 21
21 years.   Answer: 21 years
Answer: E
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
Choose the correct choice from the following options:
A) 3.34  B) 3.36  C) 3.34  D) 6.32  E) 3.31

Solution: 3.34rea of the path = 3.34rea of the outer circle - 3.34rea of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2   = ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }   = (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m.3.34nswer:3.34
Answer: A
A person walks from one end to the other of a 100-meter long moving walkway at a constant rate in 50 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 150 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other? Answers:
A) 63
B) 66
C) 69
D) 72
E) 75

Solution: Let v be the speed of the person and let x be the speed of the walkway.   50(v+x)=100 then 150(v+x)=300   150(v-x)=100   When we add the two equations:   300v=400   v=4/3   time = 100 / (4/3)= 
100 / (4/3) = 75
75 seconds   The answer is 75.
Answer: E
You make a cube that is made of 10 x 10 x 10 smaller cubes which sums up to a total of 1000 smaller cubes.
Now, if someone takes one layer of cubes, how many will remain?  Choose the correct choice from the following answers.
A) 357
B) 834
C) 500
D) 512
E) 216

Solution: D   512   The cube that remains will be 8 x 8 x 8. This will make a total of 512. This is because, when a layer is taken, it will be taken from all sides of the cube which will reduce the dimension be two and not one.
Answer: D
Two equal sums of money were invested, one at 4% and the other at 4.5%. At the end of 7 years, the simple interest received from the latter exceeded to that received from the former by 31.50. Each sum was :	Choose the correct choice: A) 1,200 B) 600 C) 750 D) 900 E) None of these

Solution: Difference of S.I. = √31.50   Let each sum be x. Then   x×4 1/2×7 /100−x×4×7/100=31.50   or 7⁄100x × 1⁄2 = 63⁄2   or x = 900   Answer 900
Answer: D
A student must answer 6 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 6 questions are available to the student? Options
A) 150	B) 200	C) 210	D) 170	E) 180

Solution: as there is ONLY one possiblity of choosing 6 out of 10, while choosing less than 3 in first five   choose 2 in first 5 and all 4 from later half..   ways = 5C2 = 10..   total ways = 10C4 = 210   ans = 210-10= 
210-10 = 200
200   200
Answer: B
Suppose 12 monkeys take 12 minutes to eat 12 bananas. How many monkeys would it take to eat 72 bananas in 72 minutes?	Pick
A) 9	B) 10	C) 11	D) 12	E) 13

Solution: One monkey takes 12 min to eat 1 banana , so in 72 mins 1 monkey will eat 6 bananas , so for 72 bananas in 72 min we need  72/6= 
 72/6 = 12
12 monkeys   ANSWER:12
Answer: D
A shipment of 8 TV sets contains 4 black and white sets and 4 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?  Choose the correct choice from the following answers:	A) 1/7	B) 11/14	C) 5/14	D) 11/28	E) 13/28

Solution: 4/8 * 3/7 = 12/56   1-(12/56) = 44/56 = 11/14   Answer 11/14
Answer: B
If x and y are integers and x + y = 3, which of the following must be true?	Choices:
A) If x < 0, then y > 0.
B) x and y are consecutive integers.
C) If x > 0, then y < 0.
D) Both x and y are even.
E) Both x and y are less than 5.

Solution: In option C if x > 0,then y<0 means x is +ve and y is -ve   In option B if x < 0, then y>0 means y is +ve and x is -ve, both are same and satisfying x+y = 5.   How option If x < 0, then y > 0. is right could you explain
Answer: A
What is the 4 digit number whose second digit is thrice the first digit and 3rd digit is sum of 1st and 2nd and last digit is thrice the second digit.
Choose the correct choice from the following answers:
A) 2674
B) 1349
C) 3343
D) 3678
E) 3679

Solution: let four digits is a,b,c&d ...so by given   b is 3a   c is 4a   d is 9a so   ans is 1349   ANSWER:1349
Answer: B
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 250 milliliters of solution X to create a solution that is 25 percent alcohol by volume?	Choices:
A) 250/3
B) 750
C) 400
D) 480
E) 600

Solution: we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ?   W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y.   If X = 250 then Y = 750   ANSWER:750
Answer: B
Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 66 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 3 at its maximum rate ?  Answers:  A) 2hrs, 48mins  B) 6hrs, 32mins  C) 7hrs, 12mins  D) 13hrs, 4mins  E) 7hrs, 42mins

Solution: The rate of pump 1 = 4x job/minute.   The rate of pump 2 = 2x job/minute.   The rate of pump 3 = x job/minute.   Given that x+2x+4x=1/66 --> x=1/462 --> (time) = (reciprocal of rate) = 462 minutes = 7 hours and 42 minutes.   Answer: 7hrs, 42mins
Answer: E
For any non-zero a and b that satisfy |ab| = ab and |a| = -a
|b + 4| + |ab - b| = ?	Select the correct option
A) a) ab - 4  B) b) 2b - a - 4  C) c) ab - 2b - 4  D) d) ab - 2b + 4  E) e) 4 - ab

Solution: |a| = -a Suggests that 'a' is Negative   |ab| = ab Suggests that 'ab' is Positive   'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative   But since 'a' is Negative therefore 'b' is Negative too.   Since b is negative so |b - 4| = -b-4   Since ab is Positive and b is Negative so |ab - b| = ab - b   i.e. |b + 4| + |ab - b| = -b-4 + ab - b =ab - 2b - 4   Answer: Option c) ab - 2b - 4
Answer: C
A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work? Choices
A) 4	B) 5	C) 6	D) 7	E) 8

Solution: 2/5 + (2 + x)/10 = 1 => x = 4 days   4nswer: 4
Answer: A
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?  Pick:
A) 9%
B) 10%
C) 11%
D) 12%
E) 13%

Solution: Let X be the percentage decrease in fox jeans   pony jeans = 22- X   (15*x/100)*3 + (18(22-X)/100)*2 = 9 ........... given   45X/100 + 792-36x/100 = 9   9x+792/100 = 9   9x+ 792 = 900   9x= 108   X = 12 = fox jeans   hence pony jeans = 22-12= 
22-12 = 10
10   ANSWER:10%
Answer: B
A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 240. Find the sum? Choose the correct choice from the following answers
A) 7000 B) 7029 C) 2778 D) 2800 E) 2000

Solution: Let the sum be Rs. x.   (x * 18 * 2)/100 - (x * 12 * 2)/100 = 240 => 36x/100 - 24x/100 =240   => 12x/100 = 240 => x = 2000.Answer:2000
Answer: E