loafeihong/math_mmlu_format huggingface dataset:
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3200, A will get: Answer Choice: (A) Rs.1200 (B) Rs.1500 (C) Rs. 1920 (D) Rs.2000 (E) None of these
Answer: C
The reciprocal of the hcf and lcm of two are 1/13 and 1/312 .if one of the number is 24 then other no. is Answer Choice: (A) 126 (B) 136 (C) 146 (D) 156 (E) 169
Answer: E
Of the 170 people at a party, 70 were women, and 30 women tried the appetizer. If 60 people did not try the appetizer, what is the total number of men who tried the appetizer? Answer Choice: (A) 40 (B) 50 (C) 60 (D) 70 (E) 80
Answer: E
Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 40 Km/hr. Find her average speed during the whole journey? Answer Choice: (A) 50 Km/hr (B) 50.90 Km/hr (C) 50.95 Km/hr (D) 52 Km/hr (E) 53 km/hr
Answer: B
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work? Answer Choice: (A) 12/15 (B) 37 1/2 (C) 3/7 (D) 4/9 (E) 5/2
Answer: B
In a games hour 4 different types of players came to the ground? cricket 15, hokey 12, football 13, softball 15. How many players are present in the ground? Answer Choice: (A) 70 (B) 52 (C) 55 (D) 49 (E) 50
Answer: C
Bucket P has thrice the capacity as Bucket Q. It takes 60 turns for Bucket P to fill the empty drum. How many turns it will take for both the buckets P&Q, having each turn together to fill the empty drum? Answer Choice: (A) 45 (B) 53 (C) 54 (D) 46 (E) 63
Answer: A
Find the lowest positive integer that can be divided by all the even numbers between 14 and 21. Answer Choice: (A) 4581 (B) 5040 (C) 3682 (D) 1231 (E) 1563
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? Answer Choice: (A) 101 (B) 209 (C) 301 (D) 405 (E) 91
Answer: B
In a recent election, Geoff received 15 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ? Answer Choice: (A)  74.5 (B)  54 (C)  56 (D)  60 (E)  63
Answer: A
How many positive integers less than 6,000 are there in which the sum of the digits equals 5? Answer Choice: (A) 65 (B) 62 (C) 61 (D) 56 (E) 58
Answer: D
An old priest fell on a bottom of the well of a church.
The well is 20 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ? Answer Choice: (A) 15-days (B) 16-days (C) 17-days (D) 18-days (E) 19-days
Answer: B
A merchant purchased a jacket for $42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale? Answer Choice: (A)  $0 (B)  $3 (C)  $6 (D)  $12 (E)  $15
Answer: C
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 32? Answer Choice: (A) A)90 (B) B)100 (C) C)160 (D) D)70 (E) of these
Answer: C
A team scored a total of 84 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team? Answer Choice: (A) A)6 (B) B)7 (C) C)8 (D) D)9 (E) E)10
Answer: A
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be: Answer Choice: (A) 4 days (B) 5 days (C) 6 days (D) 7 days (E) 9 days
Answer: A
A wildlife preserve is being planned for 5,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population? Answer Choice: (A)  340 (B)  560 (C)  320 (D)  310 (E)  300
Answer: B
Average expenditure of a person for the first 3 days of a week is Rs. 340 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is: Answer Choice: (A) 350 (B) 370 (C) 380 (D) 430 (E) None
Answer: C
Two cars cover the same distance at the speed of 50 and 45 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car? Answer Choice: (A) 278 (B) 277 (C) 960 (D) 600 (E) 261
Answer: D
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ? Answer Choice: (A) 1/8 (B) 1/7 (C) 1/0 (D) 1/2 (E) 1/3
Answer: B
In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ? Answer Choice: (A) 18 (B) 14 (C) 22 (D) 24 (E) 26
Answer: B
At what price must an article costing Rs.47.50 be marked in order that after deducting 20% from the list price. It may be sold at a profit of 25% on the cost price? Answer Choice: (A) 62.5 (B) 62.3 (C) 62.7 (D) 74.2 (E) 62.9
Answer: D
In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons? Answer Choice: (A) 200 (B) 210 (C) 230 (D) 56 (E) 270
Answer: D
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir? Answer Choice: (A) 56 (B) 28 (C) 20 (D) 72 (E) 27
Answer: C
A Train usually travels at a speed of 72 kmph crossing a pole in 7 sec, what would be the length of the train? Answer Choice: (A) 140 m (B) 142 m (C) 146 m (D) 152 m (E) 158 m
Answer: A
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air? Answer Choice: (A) 553 mph. (B) 353 mph. (C) 273 mph. (D) 153 mph. (E) 253 mph.
Answer: E
A team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: B
$500 will become $1000 in 3 years find the rate of interest? Answer Choice: (A) A)10% (B) B)20% (C) C)25% (D) D)33.33% (E) E)50%
Answer: D
If M is the mean of x,y,z ; then what is the mean of x+20,y+20 and z+20 Answer Choice: (A) M (B) 3M (C) 10M (D) M+20 (E) M-10
Answer: D
5 times the side of a square resulted in a parameter of 20x. What is the parameter before it was timed by 5? Answer Choice: (A) 4x (B) 5x (C) 10x (D) 40x (E) 2x
Answer: A
Mike and his friend are going on a road trip and hoping to miss traffic. If they are driving at a rate of 6 miles per minute, what is their speed in kilometers per hour? [1km = 0.6 miles] Answer Choice: (A) 60 (B) 30 (C) 300 (D) 600 (E) None of the above
Answer: D
Find the smallest positive integer n such that 11n - 1 is divisible by 105. Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in? Answer Choice: (A) 22 (B) 28 (C) 15 (D) 18 (E) 11
Answer: C
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A? Answer Choice: (A) 299 (B) 297 (C) 261 (D) 280 (E) 172
Answer: D
What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 3? Answer Choice: (A) 6 (B) 0.6 (C) n/6 (D) 6.2 (E) π
Answer: A
Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0 Answer Choice: (A) If x>y (B) If x>=y (C) If x<Y (D) If x<=y (E) x=y or relationship cannot be established
Answer: E
A truck covers a distance of 288 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 90 km more than that travelled by the truck ? Answer Choice: (A) 6 hours (B) 5 hours (C) 7 hours (D) 8 hours (E) None
Answer: C
A snail, climbing a 20 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall? Answer Choice: (A) 7 (B) 16 (C) 17 (D) 20 (E) 21
Answer: A
The average of 6 observations is 13. A new observation is included and the new average is decreased by 1. The seventh observation is? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 6 (E) 7
Answer: D
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 15 seconds. Find the length of the faster train? Answer Choice: (A) 270 (B) 277 (C) 187 (D) 257 (E) 150
Answer: E
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 39° is? Answer Choice: (A) 40m2 (B) 45m2 (C) 49m2 (D) 51m2 (E) 55m2
Answer: C
The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago? Answer Choice: (A) 3:4 (B) 3:0 (C) 3:1 (D) 3:2 (E) 3:7
Answer: C
c can run a kilometer race in 4 1/2 min while d can run same race in 5 min. How many meters start can c give d in a kilometer race, so that the race mat end in a dead heat? Answer Choice: (A) m (B) m (C) m (D) m (E) m
Answer: D
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand E nor Brand B soap, 60 used only Brand E soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap? Answer Choice: (A)  15 (B)  20 (C)  30 (D)  40 (E)  45
Answer: D
A customer pays 40 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker? Answer Choice: (A) 50 (B) 40 (C) 70 (D) 60 (E) 20
Answer: D
The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes? Answer Choice: (A) 15 (B) 66 (C) 77 (D) 30 (E) 42
Answer: D
In a sequence of 42 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence? Answer Choice: (A) 2 (B) -2 (C) 0 (D) 8 (E) -6
Answer: E
A tour group of 25 people paid a total of $735 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices Answer Choice: (A) $22 (B) $23.94 (C) $28 (D) $25.20 (E) $30
Answer: C
A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 5 km less in that time. Find his speed. Answer Choice: (A) 4 km/hr. (B) 6 km/hr (C) 8 km/hr (D) 10 km/hr (E) None of these
Answer: D
If |x| = 4x - 2, then x = ? Answer Choice: (A) 1 (B) 1/2 (C) 1 and 1/2 (D) -1/2 (E) 3
Answer: E
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year? Answer Choice: (A) 3630 (B) 3637 (C) 3630 (D) 3631 (E) 3635
Answer: A
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? Answer Choice: (A) 2 2 8/2 (B) 2 2 1/9 (C) 2 9 1/2 (D) 2 2 1/2 (E) 2 2 4/2
Answer: D
A bag contains 6 white balls, 6 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red? Answer Choice: (A) 0.2 (B) 0.15 (C) 0.35 (D) 0.45 (E) 0.4
Answer: A
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the children stand together? Answer Choice: (A) 12 (B) 24 (C) 50 (D) 48 (E) 120
Answer: D
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is? Answer Choice: (A) 57% (B) 82% (C) 52% (D) 22% (E) 58%
Answer: A
Express of the following as a fraction:
25% Answer Choice: (A) 1/4 (B) 1/8 (C) 2/9 (D) 3/6 (E) None of them
Answer: A
The larger interior angle of a parallelogram is 90° more than its smaller interior angle. What is the measure of the smaller interior angle of the parallelogram? Answer Choice: (A) 90° (B) 75° (C) 60° (D) 45° (E) 30°
Answer: D
A is twice as good a work man as B and together they finish the work in 6 days. In how many days A alone can finish the work? Answer Choice: (A) 3 (B) 9 (C) 7 (D) 2 (E) 6
Answer: B
In what time will Rs.4600 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest? Answer Choice: (A) 7 1/3 (B) 7 1/6 (C) 7 1/4 (D) 7 1/2 (E) 7 1/5
Answer: C
Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,70,000 earned at the end of 3 years from the start of the business in 1999? Answer Choice: (A) Rs.45,000 (B) Rs.50,000 (C) Rs.90,000 (D) Rs.75,000 (E) none
Answer: C
There are 350 snakes at a large zoo. The number of snakes is 5 times the number of all the other animals combined. How many more snakes are there than non snakes animals at the zoo? Answer Choice: (A) 400 (B) 360 (C) 300 (D) 280 (E) 200
Answer: D
Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount? Answer Choice: (A) 2387 (B) 180 (C) 221 (D) 277 (E) 881
Answer: B
In the decimal expansion of (9/10)^4 what is the fourth digit to the right of the decimal point? Answer Choice: (A)  2 (B)  7 (C)  1 (D)  0 (E)  5
Answer: C
HCF and LCM two numbers are 20 and 396 respectively. If one of the numbers is 36, then the other number is? Answer Choice: (A) 36 (B) 66 (C) 132 (D) 264 (E) 220
Answer: E
Oranges are purchased for $15/bag at the Farmer's Market. A bag weighs 3 lbs. The oranges are peeled and the seeds removed (removing 1/6 of the weight). Then, these oranges are squeezed and made into orange juice. It takes 1 lb of oranges to make an 8 ounce glass of orange juice, and it takes 128 ounces to make a gallon. How much money is needed to buy oranges to make x number of gallons of orange juice, in dollars? Answer Choice: (A) 20x (B) 158x (C) x/15 (D) 2x/3 (E) 96x
Answer: E
It takes Avery 3 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own? Answer Choice: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60
Answer: A
Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $100? Answer Choice: (A) 4 (B) 12 (C) 15 (D) 20 (E) 24
Answer: E
Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 40% savings. Assuming that they operate independently, what is the net saving achieved? Answer Choice: (A) 56% (B) 64% (C) 62.2% (D) 68% (E) 74.8%
Answer: E
If A speaks the truth 80% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time Answer Choice: (A) 0.8 (B) 0.48 (C) 0.6 (D) 0.14 (E) 0.98
Answer: B
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters? Answer Choice: (A) 5(10) (B) 10(5) (C) 10P5 (D) 10C5 (E) NOne
Answer: A
A batsman scored 90 runs which included 2 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets. Answer Choice: (A) 40% (B) 50% (C) 57% (D) 60% (E) 80%
Answer: C
What percent is 100 gm of 1 kg? Answer Choice: (A) 25% (B) 40% (C) 10% (D) 8% (E) 12%
Answer: C
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? Answer Choice: (A) 9 (B) 8 (C) 7 (D) 5 (E) 2
Answer: B
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:1. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles? Answer Choice: (A) 9:8 (B) 4:9 (C) 3:2 (D) 2:3 (E) 1:2
Answer: B
When 1/10 percent of 4,000 is subtracted from 1/10 of 4,000, the difference is Answer Choice: (A)  0 (B)  50 (C)  396 (D)  495 (E)  500
Answer: C
There are a cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)? Answer Choice: (A) n(n-1) (B) n(n+1) (C) a(a-1) (D) n(n+1)/2 (E) n2
Answer: C
A man rows his boat 110 km downstream and 90 km upstream, taking 3 hours each time. Find the speed of the stream? Answer Choice: (A) 6 (B) 5 (C) 7.5 (D) 3.5 (E) 2.5
Answer: D
On a game show, a contestant spins four different wheels; each wheel is numbered 1 to 3. What is the probability that the contestant will spin all tens? Answer Choice: (A) 87 (B) 28 (C) 1/81 (D) 693 (E) 8/27
Answer: C
A merchant has 100 lbs of sugar, part of which he sells at 5% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 5% profit? Answer Choice: (A) 70 lbs (B) 40 lbs (C) 30 lbs (D) 58 lbs (E) 60 lbs
Answer: D
If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $66, how much does one shirt cost? Answer Choice: (A) $10 (B) $12 (C) $13.20 (D) $15 (E) $16.80
Answer: B
A new savings account offers 4 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000? Answer Choice: (A) $80.00 (B) $84.40 (C) $360.00 (D) $6,242.40 (E) $6,365.40
Answer: D
A cricket player whose bowling average was 20.5 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.5. What will be the number of wickets taken by him till the last match? Answer Choice: (A) 64 (B) 72 (C) 101 (D) 111 (E) 128
Answer: C
A work can be finished in 30 days by twenty women. The same work can be finished in fifteen days by 10 men. The ratio between the capacity of a man and a woman is Answer Choice: (A) 1:3 (B) 4:1 (C) 2:3 (D) 2:1 (E) 2:4
Answer: B
The length of the bridge, which a train 500 metres long and travelling at 42 km/hr can cross in 60 seconds, is? Answer Choice: (A) 100 m (B) 200 m (C) 300 m (D) 250 m (E) 350 m
Answer: B
There are five people who can build five houses in just five days. Increase the amount of people to 100. How long would it take these 100 people to build 100 houses? Answer Choice: (A) 2 days (B) 3 days (C) 4 days (D) 5 days (E) 1 days
Answer: D
In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = -7? Answer Choice: (A) -1 (B) 7 (C) 10 (D) 11 (E) 20
Answer: D
The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 25 percent of the budget? Answer Choice: (A)  15 ° (B)  36 ° (C)  54 ° (D)  90 ° (E)  150 °
Answer: D
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? Answer Choice: (A) 8939 (B) 8383 (C) 8389 (D) 4530 (E) 9392
Answer: D
A small company reduced its faculty by approximately 15 percent to 195 employees. What was the original number of employees? Answer Choice: (A) A)182 (B) B)208 (C) C)220 (D) D)229 (E) E)302
Answer: D
A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price Q per t-shirt that the vendor paid for these purchases? Answer Choice: (A) $12.20 (B) $12.50 (C) $12.55 (D) $12.70 (E) $13.00
Answer: A
A grocer buys apples for 65¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price? Answer Choice: (A) 90.50¢ (B) 70.70¢ (C) 80.00¢ (D) 95.00¢ (E) 86.67¢
Answer: E
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 4 ½ hours if they are walking in the same direction? Answer Choice: (A) 7 km (B) 6 km (C) 5 5/8 km (D) 9 km (E) 5 km
Answer: C
How many prime numbers between 100 to 150? Answer Choice: (A) 11 (B) 10 (C) 13 (D) 12 (E) 15
Answer: B
If 1 > 1 - ab > 0, which of the following must be true?
I. a/b > 0
I. ab < 1
III. a/b < 1 Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I and III only
Answer: D
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year? Answer Choice: (A) 3:4 (B) 3:2 (C) 3:9 (D) 3:8 (E) 3:1
Answer: B
A 150 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Answer Choice: (A) 300 (B) 175 (C) 360 (D) 370 (E) 380
Answer: B
A book is bought for $60 and sold for $75. What is the profit in percentage? Answer Choice: (A) 12 (B) 15 (C) 20 (D) 25 (E) 30
Answer: D
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2? Answer Choice: (A) 1/8. (B) 1/2. (C) 1/5. (D) 3/8. (E) 1/3.
Answer: D
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold k bicycles last week and y bicycles this week, which of the following statements must be true?
I. y > 2k
II. y > k
III. y > 3 Answer Choice: (A) I only (B) II only (C) I and II (D) II and III (E) I, II, and III
Answer: D
A company decreased the price of its main product by 20%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product? Answer Choice: (A) 3.0 (B) 7.0 (C) 5.0 (D) 2.0 (E) 1.0
Answer: C
In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 120 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ? Answer Choice: (A) 40 ml (B) 100/3 ml (C) 20 ml (D) 20/3 ml (E) 10 ml
Answer: E