loafeihong/math_mmlu_format huggingface dataset:
Jim’s only source of income comes from his job as a question writer. In this capacity, Jim earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Jim takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Jim wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Jim’s median annual income over the past 5 years? Answer Choice: (A) $22,474 (B) $25,673 (C) $27,318 (D) $28,441 (E) $31,227
Answer: D
270 Ã· ? Ã— 15 + 270 = 405 Answer Choice: (A) 24 (B) 25 (C) 30 (D) 39 (E) 43
Answer: C
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. one years from today, the difference between the age of the boy and the combined ages of the girls will be Answer Choice: (A) 0 (B) 2 (C) 3 (D) –2 (E) –1
Answer: A
Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/7 of an ounce and one to measure exactly 1/8 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12 Answer Choice: (A) I only (B) III only (C) I and III only (D) II and III only (E) 1/56 and 1556
Answer: E
A van takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Answer Choice: (A) 40 Kmph (B) 50 Kmph (C) 60 Kmph (D) 75 Kmph (E) 860 Kmph
Answer: C
Find the value of 3 + 3 â€¢ (8 â€“ 3) Answer Choice: (A) 25 (B) 18 (C) 17 (D) 24 (E) 15
Answer: B
Find the smallest no divisible by 5 ,3,7 and leave a remainder of 2 in each case and is divisible by 11 ? Answer Choice: (A) 737 (B) 735 (C) 105 (D) 107 (E) 108
Answer: B
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3? Answer Choice: (A) 70 kmph (B) 50 kmph (C) 57 kmph (D) 54 kmph (E) 70 kmph
Answer: B
Question: What is the remainder when W=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144? Answer Choice: (A)  0 (B)  25 (C)  49 (D)  81 (E)  100
Answer: D
Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many E women are currently in the room? Answer Choice: (A) 12 (B) 14 (C) 15 (D) 24 (E) 36
Answer: D
Find the odd man out
2880, 480, 92, 24, 8, 4, 4 Answer Choice: (A) 480 (B) 92 (C) 24 (D) 8 (E) 4
Answer: B
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation? Answer Choice: (A) 9 (B) 8 (C) 7 (D) 6 (E) 5
Answer: A
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 120 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project? Answer Choice: (A) 384 (B) 320 (C) 960 (D) 192 (E) 640
Answer: D
A train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point? Answer Choice: (A) 5 hrs 22 min (B) 6 hrs 21 min (C) 7 hrs 14 min (D) 6 hrs (E) None of these
Answer: B
One hundred gallons of fuel are purchased at $0.80 per gallon. The fuel is consumed at a rate of $0.20 worth of fuel per hour. At this rate, how many hours are required to consume the 100 gallons of fuel? Answer Choice: (A) 400 (B) 450 (C) 500 (D) 550 (E) 600
Answer: A
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is: Answer Choice: (A) Rs. 1550 (B) Rs. 1650 (C) Rs. 1750 (D) Rs. 2000 (E) Rs. 2500
Answer: C
There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to? Answer Choice: (A) 7!*1! (B) 7!*2! (C) 6!*2! (D) 8!*2! (E) 6!*2!
Answer: B
Charlene's annual bonus is calculated in the following manner: Charlene receives 40 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $7,300, what were her annual sales? Answer Choice: (A) $ 20,666 (B) $ 22,000 (C) $ 24,000 (D) $ 26,000 (E) $ 28,000
Answer: A
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $210, what were her original savings? Answer Choice: (A) $840 (B) $800 (C) $1000 (D) $700 (E) $1500
Answer: A
How much more would Rs.30000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly? Answer Choice: (A) 482 (B) 725 (C) 992 (D) 837 (E) 723
Answer: E
It was 7:00 when Bill looked at the clock, he looks at the clock again 30 minutes later. What time is it now? Answer Choice: (A) 7:30 (B) 7:00 (C) 8:00 (D) 1:28 (E) 2:40
Answer: A
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Answer Choice: (A) 8 kmph (B) 4 kmph (C) 2 kmph (D) 10 kmph (E) 12 kmph
Answer: B
A statue is being carved by a sculptor. The original piece of marble weighed 250 kg. In the first week 30 per cent is cut away. In the second week 20 per cent of the remainder is cut away. In the third week the statue is completed when 25 percent of the remainder is cut away. What is the weight of the final statue? Answer Choice: (A) 105 kg (B) 145 kg (C) 165 kg (D) 115 kg (E) 100 kg
Answer: A
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) 19.7 (B) 20 (C) 22 (D) 21.4 (E) 21.5
Answer: A
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is Answer Choice: (A) 8 (B) 9 (C) 10 (D) 13 (E) 14
Answer: D
The ratio of 2 seconds to 4 hours Answer Choice: (A) 1:80 (B) 1:6000 (C) 1:7200 (D) 1:400 (E) 1:500
Answer: C
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 40%, then the cost price of the article is: Answer Choice: (A) 500 (B) 277 (C) 222 (D) 297 (E) 400
Answer: E
For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2.
What is the sum of all the even integers between 99 and 171? Answer Choice: (A) 4420 (B) 4860 (C) 5250 (D) 5780 (E) 6340
Answer: B
A dealer buys dry fruits at Rs. 100, Rs. 80, and Rs. 60 per kilogram. He mixes them in the ratio 3:4:5 by weight and sells at a profit of 50%. At what price per kilogram does he sell the dry fruits? Answer Choice: (A) Rs. 80 (B) Rs. 100 (C) Rs. 95 (D) None of these (E) Cannot be determined
Answer: D
Evaluate permutation
6P6 Answer Choice: (A) 710 (B) 720 (C) 730 (D) 740 (E) None of these
Answer: B
The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 37 what is the value of a1 ? Answer Choice: (A) 1 (B) 6 (C) 17 (D) 16 (E) 21
Answer: C
A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average(arithmetic mean) of the other 20 numbers in the list, then n is what fraction U of the sum of the 21 numbers in the list? Answer Choice: (A)  1/20 (B)  1/6 (C)  1/5 (D)  4/21 (E)  5/21
Answer: B
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is? Answer Choice: (A) 3:6 (B) 3:1 (C) 3:4 (D) 3:9 (E) 3:2
Answer: C
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 625 meters in length? Answer Choice: (A) 62 (B) 72 (C) 55 (D) 82 (E) 52.7
Answer: E
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle. Answer Choice: (A) w=25/L=36 (B) w=15/L=20 (C) w=35/L=27 (D) w=14/L=35 (E) w=19/L=39
Answer: B
Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 459? Answer Choice: (A) 18% (B) 21% (C) 20% (D) 26.1% (E) None of these
Answer: D
A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,000 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week? Answer Choice: (A) 25% (B) 30% (C) 35% (D) 40% (E) 45%
Answer: B
Two Trains A and B start simultaneously from stations 500 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 50 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile? Answer Choice: (A)  112 (B)  133 (C)  150 (D)  250 (E)  288
Answer: D
A driver goes on a trip of 60 kilometers, the first 30 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour. What is the average speed of the entire trip in kilometers per hour? Answer Choice: (A) 35 (B) 36 (C) 40 (D) 42 (E) 45
Answer: C
If s and t are both odd prime numbers ands < t, then how many different positive integer factors does2sthave? Answer Choice: (A)  3 (B)  4 (C)  6 (D)  8 (E)  12
Answer: D
2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in Answer Choice: (A) 33 (B) 21 (C) 17 (D) 28 (E) 10
Answer: B
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Answer Choice: (A) 9:5 (B) 9:8 (C) 9:2 (D) 9:9 (E) 9:1
Answer: B
Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is? Answer Choice: (A) 22 (B) 72 (C) 36 (D) 88 (E) 21
Answer: B
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 4.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar? Answer Choice: (A) 6%. (B) 7.7%. (C) 9.2%. (D) 10.5%. (E) 11%.
Answer: B
Calculate the share of Z , if Rs. 3720 is divided among X, Y and Z in the ratio 7 : 8 : 11? Answer Choice: (A) 1564.1 (B) 1214.1 (C) 1574.1 (D) 1271.1 (E) 1044.1
Answer: C
A cistern is filled by pipe A in 10 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full? Answer Choice: (A) 50hrs (B) 60hrs (C) 70hrs (D) 80hrs (E) 90hrs
Answer: B
A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work? Answer Choice: (A) 18 (B) 77 (C) 66 (D) 55 (E) 10
Answer: E
Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart? Answer Choice: (A) 9 am (B) 10 am (C) 6 am (D) 8 am (E) 7 am
Answer: B
What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x Answer Choice: (A) 124 (B) 165 (C) 36 (D) 178 (E) 215
Answer: C
In how many Y ways can 5 people from a group of 6 people be seated around a circular table Answer Choice: (A) 56 (B) 80 (C) 100 (D) 120 (E) 144
Answer: E
An athlete starts from point A and complete one circular round exactly in 33 minutes. How much time is required, if an athlete wants to complete half of the circle and reach to point A ? Answer Choice: (A) 26.0042 minutes (B) 27.0042 minutes (C) 28.0042 minutes (D) 29.0042 minutes (E) 25.0042 minutes
Answer: B
A, B and C rents a pasture for Rs.1130. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? Answer Choice: (A) 270 (B) 199 (C) 351 (D) 156 (E) 122
Answer: C
Ms. Rani purchased three bags @ Rs. 600/- from shop and give Rs.2000/- and also she returned the damaged chappel @ Rs. 250/-to the shop keeper to replace or cash back. Shop keeper told you can buy another chappel and cannot give cash back. Rani took another chappel @ 450/- How much amount to be given to shop keeper? Answer Choice: (A) 50 (B) 150 (C) 0 (D) 25 (E) 100
Answer: C
Find the largest number of four digit exactly divisible by 12,15,18 and 27? Answer Choice: (A) 1500 (B) 2579 (C) 9720 (D) 3697 (E) 4589
Answer: C
What is the value of x^2yz − xyz^2, if x =1, y = 1, and z = 3? Answer Choice: (A)  20 (B)  -6 (C)  30 (D)  32 (E)  48
Answer: B
Positive integer y is 50 percent of 50 percent of positive integer x, and 2y percent of x equals 100. What is the value of x? Answer Choice: (A)  50 (B)  100 (C)  140 (D)  1,000 (E)  2,000
Answer: C
John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 6R/5 miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John? Answer Choice: (A) 6R (B) 8R (C) 9R (D) 10R (E) 12R
Answer: E
Alex deposited x dollars into a new account that earned 5 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ? Answer Choice: (A) w/(1+1.08) (B) w/(1.05+1.05^2) (C) w/(1.16+1.24) (D) w/(1.08+1.16) (E) w/(1.08^2+1.08^2)
Answer: B
A certain industrial machine requires 20 quarts (640 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 9% special additives. If the machine needs exactly 50 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture? Answer Choice: (A) a.	A – 60 (B) b.	B – 180 (C) c. C – 190 (D) d.	D – 300 (E) e.	E – 320
Answer: C
There are 240 doctors and nurses at a hospital. If the ratio of doctors to nurses is 3 to 7, how many nurses are at the hospital? Answer Choice: (A) 168 (B) 172 (C) 176 (D) 180 (E) 184
Answer: A
Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 20 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone? Answer Choice: (A) 4 (B) 5 (C) 8 (D) 12 (E) None of these
Answer: C
Find a sum for first 6 prime number'ss? Answer Choice: (A) 25 (B) 28 (C) 30 (D) 35 (E) 41
Answer: E
A rainstorm increased the amount of water stored in State J reservoirs from 50 billion gallons to 75 billion gallons. If the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm? Answer Choice: (A)  90 (B)  114 (C)  124 (D) 120 (E) 127
Answer: E
A and B start a business with Rs.15000 and Rs.18000 respectively. Hoe should they share their profits at the end of one year? Answer Choice: (A) 1:2 (B) 3:4 (C) 5:6 (D) 3:7 (E) 2:1
Answer: C
A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $500 and $300 per unit, respectively. What is the fewest number of computer printers that the company can purchase? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 8
Answer: D
The income tax in the area where the Jones family lives is scheduled to increase by 12% next year. Since the Jones family cannot afford an increase in their tax bill, how much will they have to reduce income by to keep their cost the same? Answer Choice: (A) 10.7% (B) 10% (C) 10.3% (D) 10.9% (E) 10.2%
Answer: A
At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ? Answer Choice: (A) 20 (B) 45 (C) 55 (D) 90 (E) 80
Answer: B
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? Answer Choice: (A) 18 hours (B) 28 hours (C) 98 hours (D) 16 hours (E) 12 hours
Answer: B
Walking at 4/7 of its usual speed, a train is 9 minutes late. Find its usual time to cover the journey. Answer Choice: (A) 8min. (B) 10min. (C) 12min. (D) 15min. (E) 17min.
Answer: C
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is Answer Choice: (A) 17/28 (B) 17/27 (C) 17/19 (D) 17/20 (E) 17/22
Answer: D
7,11,19,35,67, (...) Answer Choice: (A) 131 (B) 245 (C) 142 (D) 76 (E) 426
Answer: A
What is the greatest of 3 consecutive integers whose sum is 30 ? Answer Choice: (A) 11 (B) 7 (C) 8 (D) 9 (E) 5
Answer: A
A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work? Answer Choice: (A) 2 days (B) 3 days (C) 6 days (D) 5 days (E) 8 days
Answer: C
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 30 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car? Answer Choice: (A) 0.1 (B) 0.6 (C) 1 (D) 1.2 (E) 2
Answer: C
The sale price sarees listed for Rs.540 after successive discount is 5% and 2% is? Answer Choice: (A) 288 (B) 500 (C) 502 (D) 540 (E) 262
Answer: C
At what rate percent on simple interest will a sum of money double itself in 30 years? Answer Choice: (A) 3 1/3% (B) 3 1/8% (C) 3 7/3% (D) 3 1/7% (E) 3 1/1%
Answer: A
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 900. What is their H.C.F.? Answer Choice: (A) 5 (B) 15 (C) 25 (D) 35 (E) 45
Answer: B
A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today? Answer Choice: (A) 20 (B) 21. (C) 22 (D) 23 (E) 24
Answer: E
If Jake loses 32 pounds, he will weigh twice as much as his sister. Together they now weigh 212 pounds. What is Jake’s present weight, in pounds? Answer Choice: (A) 131 (B) 135 (C) 139 (D) 152 (E) 188
Answer: D
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is: Answer Choice: (A) 173 m (B) 200 m (C) 273 m (D) 300 m (E) 373 m
Answer: C
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing? Answer Choice: (A) 100 Marks (B) 200 Marks (C) 280 Marks (D) 371 Marks (E) 827 Marks
Answer: B
Lake A has a duck population of 30 females and 36 males. Lake B’s duck population consists of the same ratio of females to males. If 5 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following? Answer Choice: (A) 144 (B) 105 (C) 77 (D) 51 (E) 36
Answer: C
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day? Answer Choice: (A) 15 (B) 24 (C) 78 (D) 96 (E) 32
Answer: A
A store owner estimates that the average price of type A products will increase by 30% next year and that the price of type B products will increase by 20% next year. This year, the total amount paid for type A products was $3200 and the total price paid for type B products was $5800. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year? Answer Choice: (A) $14,755 (B) $15,325 (C) $11,129 (D) $16,225 (E) $17,155
Answer: C
The number of boxes in a warehouse can be divided evenly into 5 equal shipments by boat or 24 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse? Answer Choice: (A)  27 (B)  33 (C)  54 (D)  81 (E)  120
Answer: E
What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142 Answer Choice: (A) 35 (B) 38 (C) 46 (D) 49 (E) 52
Answer: C
A popular website requires users to create a password consisting of the digits {1,2,3,4,5}. If no digit may be repeated and each password must be at least 4 digits long, how many passwords are possible? Answer Choice: (A) 4! + 5! (B) 2 x 5! (C) 4! x 5! (D) 9! (E) 10!
Answer: B
If x, y, and z are all factors of 15, which of the following must be true? Answer Choice: (A) The product xyz > 15 (B) Either x = y, y = z, or x = z (C) x – y – z = even (D) The product xyz is odd (E) yz/x is an integer
Answer: D
If n is an integer greater than 6, which of the following must be divisible by 10 ? Answer Choice: (A) n(n + 1)(n – 4) (B) n(n + 2)(n – 1) (C) n(n + 3)(n – 5) (D) n(n + 4)(n – 2) (E) n(n + 5)(n – 6)
Answer: C
The workers of a factory is 10000. It decreases annually at the rate of 20% p.a. What will be its population after 4 years? Answer Choice: (A) 8500 (B) 7000 (C) 5282 (D) 4096 (E) 5250
Answer: D
Several people are sitting around a round table playing a card game with a deck of 51 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table? Answer Choice: (A) 4 (B) 5 (C) 7 (D) 11 (E) 13
Answer: B
If twenty four men and sixteen women work on a day, the total wages to be paid is 11,600. If twelve men and thirty seven women work on a day, the total wages to be paid remains the same. What is the wages paid to a man for a day’s work? Answer Choice: (A) 33 (B) 38 (C) 37 (D) 299 (E) 22
Answer: B
Each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed? Answer Choice: (A) 8 (B) 10 (C) 12 (D) 14 (E) 15
Answer: B
If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability J that a number picked up in first 90 positive integers will have the result of # as an odd digit ? Answer Choice: (A) (a) 4/10 (B) (b) 4/9 (C) (c) 1/2 (D) (d) 6/10 (E) (e) 5/9
Answer: E