loafeihong/math_mmlu_format huggingface dataset:
If a 3-member subcommittee is to be formed from a certain 9-member committee, how many different such subcommittee are possible? Answer Choice: (A) 6 (B) 18 (C) 20 (D) 84 (E) 216
Answer: D
The average (arithmetic mean) of 20, 40, and 60 is 7 more than the average of 10, 70, and what number? Answer Choice: (A) 19 (B) 25 (C) 35 (D) 45 (E) 55
Answer: A
In a neighborhood having 90 households, 11 did not have either a car or a bike. If 22 households had a both a car and a bike and 44 had a car, how many had bike only? Answer Choice: (A) 30 (B) 35 (C) 20 (D) 18 (E) 10
Answer: B
Country X imposes a two-tiered tax on imported cars: the first tier imposes a tax of 30% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 20%. If Ron imported a $50,000 imported car and ended up paying $12000 in taxes, what is the first tier's price level? Answer Choice: (A) $22000 (B) $20000 (C) $23000 (D) $24000 (E) $25000
Answer: B
The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number? Answer Choice: (A) 2 (B) 3 (C) four (D) 8 (E) 9
Answer: C
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Answer Choice: (A) 992 (B) 389 (C) 500 (D) 277 (E) 781
Answer: C
The sum of the ages of 5 children born at the intervals of 3 year each is 40 year. what is the age of the youngest child ? Answer Choice: (A) 2 year (B) 8 year (C) 10 year (D) None of these (E) 9 year
Answer: A
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players? Answer Choice: (A) 1224 (B) 1234 (C) 1350 (D) 1358 (E) 1365
Answer: E
If a and b are odd integers, which of the following must be an even integer? Answer Choice: (A) a(b – 2) (B) ab + 4 (C) (a + 2)(b – 4) (D) 3a + 5b (E) a(a + 6)
Answer: D
Rs.3150 is divided so that 5 times the first share, thrice the 2nd share and six times the third share amount to the same. What is the value of the third share? Answer Choice: (A) s529 (B) s527 (C) s570 (D) s750 (E) s507
Answer: D
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses at the restaurant? (Assume that all boxes are filled to capacity.) Answer Choice: (A) 96 (B) 240 (C) 56 (D) 384 (E) 480
Answer: E
For 600km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by bus and the rest bycar. The ratio of the speed of the train to that of the cars is? Answer Choice: (A) 1:3 (B) 3:4 (C) 2:5 (D) 3:7 (E) 3:11
Answer: B
9 - 3 ÷ 1/3 + 3 = ? Answer Choice: (A) 1 (B) 3 (C) 6 (D) 9 (E) 12
Answer: B
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.1051. Find the cost of each ice-cream cup? Answer Choice: (A) 25 (B) 40 (C) 77 (D) 99 (E) 91
Answer: B
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 25 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? Answer Choice: (A) 50% (B) 53% (C) 54% (D) 55% (E) 57%
Answer: D
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 6 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is? Answer Choice: (A) 60 gallons (B) 100 gallons (C) 240 gallons (D) 180 gallons (E) 130 gallons
Answer: C
A sum of Rs.4400 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Answer Choice: (A) Rs.2860 (B) Rs.3120 (C) Rs.3320 (D) Rs.2760 (E) None of these
Answer: A
Beth received 1/10 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast? Answer Choice: (A) 1/5 (B) 4/7 (C) 3/10 (D) 7/20 (E) 1/2
Answer: B
In a two-digit number, the digit at unit place is 1 more than twice of the digit at tens place. If the digit at unit and tens place be interchanged, then the difference between the new number and original number is less than 1 to that of original number. What is the original number? Answer Choice: (A) 52 (B) 73 (C) 25 (D) 49 (E) 37
Answer: E
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.310. How much does C have? Answer Choice: (A) 50 (B) 78 (C) 267 (D) 29 (E) 10
Answer: E
In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by ? Answer Choice: (A) 64 (B) 1/8 (C) 1 (D) 4 (E) 1/64
Answer: D
A metallic hemisphere is melted and recat in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then : Answer Choice: (A) H = 2R (B) H = 4R (C) H = √4R (D) H = 2/3 R (E) None
Answer: A
A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 75 sec (B) 52 sec (C) 41 sec (D) 62 sec (E) 21 sec
Answer: E
If n is a positive integer, which one of these following numbers must have a remainder of 3 when
divided by any of the numbers 4, 5, and 6? Answer Choice: (A) 125n + 3 (B) 240n + 3 (C) 380n + 3 (D) 590n + 3 (E) 700n + 3
Answer: B
The fourth proportional to 6, 11, 36 is: Answer Choice: (A) 64 (B) 66 (C) 68 (D) 70 (E) 72
Answer: B
Ratio of the ages of Mahesh and Nilesh is 5:x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x? Answer Choice: (A) 14.8 (B) 14.4 (C) 14.7 (D) 14.1 (E) 14.5
Answer: E
Rahul will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible? Answer Choice: (A) 5 (B) 6 (C) 9 (D) 24 (E) 26
Answer: A
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many R eggs does the plant process per day? Answer Choice: (A)  100 (B)  300 (C)  400 (D)  3,000 (E)  4,000
Answer: C
15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days? Answer Choice: (A) 87 (B) 18 (C) 17 (D) 16 (E) 10
Answer: B
How many multiples of 10 are there between 11 and 1001? Answer Choice: (A) 98 (B) 99 (C) 100 (D) 97 (E) 95
Answer: B
A can do a piece of work in 18 days, B in 27 days, C in 36 days. They start worked together . But only C work till the completion of work. A leaves 4 days and B leaves 6 days before the completion of work. In how many days work be completed? Answer Choice: (A) 12 (B) 11 (C) 99 (D) 27 (E) 99
Answer: A
When positive integer X is divided by positive integer Y, the remainder is 1.44. If X/Y = 96.12, what is the value of Y? Answer Choice: (A) 96 (B) 75 (C) 48 (D) 25 (E) 12
Answer: E
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability R that Jane will be on the same committee as Albert? Answer Choice: (A)  12% (B)  20% (C)  33% (D)  40% (E)  50%
Answer: D
On a game show, a contestant spins three different wheels; each wheel is numbered 1 to 10. What is the probability that the contestant will spin all tens? Answer Choice: (A) 1/3 (B) 1/2 (C) 1/50 (D) 1/1,000 (E) 1/100
Answer: D
John Purchased 1300 large bottles at $1.89 per bottle and 750 small bottles at $1.38 per bottle. What was the approximate average price paid per bottle? Answer Choice: (A) $1.63 (B) $1.64 (C) $1.68 (D) $1.70 (E) $1.76
Answer: D
In 4 years, Raj's father age twice as raj, Two years ago, Raj's mother's age twice as raj. If Raj is 32yrs old in eight yrs from now, what is the age of Raj's mother and father? Answer Choice: (A) 27 (B) 36 (C) 28 (D) 46 (E) 91
Answer: C
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is Answer Choice: (A) 100 (B) 250 (C) 260 (D) 416 (E) None of these
Answer: D
R-R-G-G-G-Y-Y-B-R-R-G-G-G-Y-Y-B… B-R-R
The preceding is a representation of the different colored beads on a string. The beads follow a repeating pattern and the colors Red, Green, Yellow, and Blue are represented by R, G, Y, and B respectively. Which of the following is a possible number of beads in the missing section of the string represented above? Answer Choice: (A) 63 (B) 64 (C) 65 (D) 66 (E) 67
Answer: A
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number? Answer Choice: (A) 46 (B) 82 (C) 45 (D) 43 (E) 53
Answer: A
Which of the following CANNOT be the least common multiple of two positive integers x and y Answer Choice: (A) xy (B) x (C) x - xy (D) y (E) x + y
Answer: C
I chose a number and divide it by 8. Then I subtracted 160 from the result and got 12. What was the number I chose? Answer Choice: (A) 1376 (B) 1800 (C) 1400 (D) 2500 (E) 100
Answer: A
Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss Answer Choice: (A) 75 (B) 65 (C) 45 (D) 25 (E) 35
Answer: D
Donald plans to invest x dollars in a savings account that pays interest at an annual rate of 8% compounded quarterly. Approximately what amount is the minimum that Donald will need to invest to earn over $100 in interest within 6 months? Answer Choice: (A) $1500 (B) $1750 (C) $2000 (D) $2500 (E) $3000
Answer: D
An article is bought for Rs.675 and sold for Rs.1080, find the gain percent? Answer Choice: (A) 33 1/9% (B) 60% (C) 33 1/3% (D) 33 2/3% (E) 33 1/2%
Answer: B
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 2:3. The first number is: Answer Choice: (A) A)27 (B) B)98 (C) C)34 (D) D)35 (E) E)62
Answer: A
The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean. Answer Choice: (A) 151 (B) 149 (C) 152 (D) 148 (E) None of the above
Answer: A
A set of data consists of the following 7 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers? Answer Choice: (A) -1 and 9 (B) 4 and 4 (C) 3 and 5 (D) 2 and 6 (E) 0 and 8
Answer: C
If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M? Answer Choice: (A) M - N x C + F (B) F - C + N x M (C) N + M - F x C (D) M x N - C + F (E) none
Answer: D
Louie takes out a three-month loan of $1000. The lender charges him 20% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month? Answer Choice: (A) A)333 (B) B)383 (C) C)402 (D) D)438 (E) E)478
Answer: E
Calculate the area of a triangle, if the sides of are 39 cm, 36 cm and 15 cm, what is its area? Answer Choice: (A) 570 cm2 (B) 370 cm2 (C) 170 cm2 (D) 271 cm2 (E) 270 cm2
Answer: E
A person can swim in still water at 12 km/h. If the speed of water 10 km/h, how many hours will the man take to swim back against the current for 12km? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive? Answer Choice: (A) 65000 (B) 67000 (C) 70000 (D) 72000 (E) 75000
Answer: D
When 2/3 of the garments in the shipment were inspected, 28 of the garments passed inspection and the remaining 2 garments failed. How many of the un inspected garments must pass inspection in order that 90 percent of the garments in the shipment pass? Answer Choice: (A) 10 (B) 9 (C) 13 (D) 7 (E) 5
Answer: C
According to a recent student poll, 4/6 out of 24 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking? Answer Choice: (A) 1/14 (B) 4/49 (C) 2/7 (D) 62/69 (E) 13/14
Answer: D
If 35% of the 840 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class? Answer Choice: (A) 546 (B) 550 (C) 555 (D) 532 (E) 515
Answer: A
The current in a river is 5 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours? Answer Choice: (A) 69 miles (B) 88 miles (C) 93,75 miles (D) 100 miles (E) 112 miles
Answer: C
X is the least common multiple of 96,196,300, which number below is not factor of X? Answer Choice: (A) 600 (B) 700 (C) 900 (D) 2100 (E) 4900
Answer: C
The sum of three consecutive multiples of 3 is 81. What is the largest number? Answer Choice: (A) 24 (B) 28 (C) 30 (D) 32 (E) 35
Answer: C
How many three letter words are formed using the letters of the word MARRIAGE? Answer Choice: (A) 326 (B) 429 (C) 226 (D) 336 (E) 280
Answer: D
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is? Answer Choice: (A) 227 (B) 2689 (C) 342 (D) 787 (E) 191
Answer: C
How long does a train 120 m long travelling at 60 kmph takes to cross a bridge of 170 m in length? Answer Choice: (A) 15.8 sec (B) 14.9 sec (C) 12.4 sec (D) 16.8 sec (E) 17.4 sec
Answer: E
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 260cm when it touches the floor on third time. What is the value of the original height? Answer Choice: (A) 80cm (B) 90cm (C) 104cm (D) 120cm (E) 130cm
Answer: C
A train 120 m long passed a pole in 6 sec. How long will it take to pass a platform 360 m long? Answer Choice: (A) 20 sec (B) 21 (C) 22 (D) 23 (E) 24
Answer: E
A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ? Answer Choice: (A) 31( 5/7) (B) 81( 5/7) (C) 51( 5/7) (D) 41( 5/7) (E) 31( 3/7)
Answer: A
The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 32 ? Answer Choice: (A) 440 (B) 512 (C) 550 (D) 620 (E) 750
Answer: D
The age of father 8 years ago was twice the age of his son. eight years hence, father's age will be twice that of his son. The ratio of their present ages is: Answer Choice: (A) 5 : 3 (B) 7 : 3 (C) 9 : 2 (D) 7 : 2 (E) 13 : 4
Answer: A
Find out the wrong term in the series 1, 10, 100 100, 1000, 100000 Answer Choice: (A) 100,000,000 (B) 10,000 (C) 100,000 (D) 10,000,000 (E) 100,000,000,000
Answer: A
If a sum of money trebles itself in 40 years,what is the rate of interest? Answer Choice: (A) 5% (B) 6% (C) 4% (D) 3% (E) None of these
Answer: A
If the average (arithmetic mean) of 4x-5, 8x-6, and 9x+5 is 279, what is the value of x? Answer Choice: (A) 18 (B) 25 (C) 27 (D) 29 (E) 31
Answer: C
Three medical experts, working together at the same constant rate, can write an anatomy textbook in 32 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 6 days? Answer Choice: (A) 7 (B) 9 (C) 11 (D) 13 (E) 15
Answer: D
8 couples attend a dance show in a TV channel. A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is at least 1 couple will be selected is : Answer Choice: (A) 11/13 (B) 12/17 (C) 15/39 (D) 19/31 (E) 21/35
Answer: C
At what price must an article costing Rs.47.50 be marked in order that after deducting 7% from the list price. It may be sold at a profit of 25% on the cost price? Answer Choice: (A) 63.84 (B) 62.6 (C) 62.1 (D) 62.7 (E) 62.2
Answer: A
What is the remainder when 54617^(42788234) is divided by 5? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: E
A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun four times, approximately what is the probability that the product of the four winning sectors’ integers will be even? Answer Choice: (A) 50% (B) 67% (C) 88% (D) 94% (E) 98%
Answer: D
If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. ab > 0
II. ab is even
III. c is even Answer Choice: (A) I only (B) II only (C) I and II (D) I and III (E) I, II, and III
Answer: B
In a throw of coin what is the probability of getting head. Answer Choice: (A) 1 (B) 2 (C) 1/2 (D) 0 (E) None of these
Answer: C
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If7 were to be added to each score, which of these three statistics would change? Answer Choice: (A) The mean only (B) The median only (C) The standard deviation only (D) The mean and the standard deviation (E) The mean and the median
Answer: E
A manufacturer of a certain type of screw rejects any screw whose length is less than 2.44 + 0.03 centimeters or greater than 2.5 + 0.03 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable? Answer Choice: (A) |k + 0.03| > 2.5 (B) |k — 0.03| <= 2.5 (C) |k — 2.5| > 0.03 (D) |k — 2.5| >= 0.06 (E) |k — 2.5| <= 0.03
Answer: E
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start? Answer Choice: (A) A)2 (B) B)5 (C) C)7 (D) D)5 (E) E)1
Answer: E
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many W kilometers per hour did Tammy walk on the second day? Answer Choice: (A) 3 (B) 3.5 (C) 4 (D) 4.5 (E) 6
Answer: C
If p > 1 and q = 2^(p −1), then 4^p = Answer Choice: (A) 16q^2 (B) 4q^2 (C) q^2 (D) q^2/4 (E) q^2/16
Answer: B
A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among five colors produced enough color codes to identify all but 5 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.) Answer Choice: (A) 7 (B) 10 (C) 15 (D) 17 (E) 20
Answer: C
The mass of the sun is approximately 2 × 10^25 kg and the mass of the moon is approximately 8 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon? Answer Choice: (A) 4.0 × 10^(−18) (B) 2.5 × 10^12 (C) 4.0 × 10^18 (D) 2.5 × 10^19 (E) 4.0 × 10^42
Answer: B
If C + D = 17 and C and D are positive integers, which of the following is a possible value for 3C + 2D? Answer Choice: (A) 29 (B) -29 (C) 0 (D) -19 (E) 19
Answer: C
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
16 students play all the sports. How many students are there in the class ? Answer Choice: (A) 84 (B) 164 (C) 97 (D) 94 (E) 74
Answer: B
Two lorries each 350 m long are running in opposite directions on parallel tracks. Their speeds are 40km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choice: (A) 77 sec (B) 36 sec (C) 48 sec (D) 55 sec (E) 45 sec
Answer: B
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7 Answer Choice: (A) 5/2 (B) 4/7 (C) 4/3 (D) 5/12 (E) 2/7
Answer: D
A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hour? Answer Choice: (A) 7 km/hr (B) 7.2 km/hr (C) 8 km/hr (D) 9 km/hr (E) 11 km/hr
Answer: B
If 5 people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in? Answer Choice: (A) 8 days (B) 10 days (C) 18 days (D) 20 days (E) 25 days
Answer: E
A firm is comprised of partners and associates in a ratio of 2:63. If 50 more associates were hired, the ratio of partners to associates would be 1:34. How many partners are currently in the firm? Answer Choice: (A) 5 (B) 10 (C) 12 (D) 20 (E) 25
Answer: D
Simple interest on a certain sum is 16.2 over 20 of the sum. Find the rate per cent and time, if both are equal. Answer Choice: (A) 8% and 8 years (B) 6% and 6 years (C) 9% and 9 years (D) 12 % and 12 years (E) None of these
Answer: C
A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 55 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.) Answer Choice: (A) $15,360 (B) $17,360 (C) $25,560 (D) $21,360 (E) $27,360
Answer: C
x and y are positive integers of T. If 1/x + 1/y < 2, which of the following must be true? Answer Choice: (A)  x + y > 4 (B)  xy>1 (C)  x/y + y/x < 1 (D)  (x - y)^2 > 0 (E)  None of the above
Answer: B
If MANGO is written as 41576 and APPLE is written as 17735, then GRAPES would be written as: Answer Choice: (A) 7999340 (B) 7835610 (C) 7226710 (D) 7913350 (E) 7917510
Answer: E
A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/4rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what proportion of the total work was completed by B? Answer Choice: (A) 1/3 (B) 2/9 (C) 9/49 (D) 16/81 (E) 1/6
Answer: D
If the positive integer N is a perfect square, which of the following must be true?
I. The number of distinct factors of N is odd.
II. The sum of the factors of N is odd.
III. The number of distinct prime factors of N is even. Answer Choice: (A) I only (B) II only (C) I and II (D) I and III (E) I, II and III
Answer: C
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Answer Choice: (A) 19:2 (B) 18:3 (C) 19:1 (D) 19:5 (E) 19:4
Answer: D