loafeihong/math_mmlu_format huggingface dataset:
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is: Answer Choice: (A) 50 KM (B) 60 KM (C) 40 KM (D) 55 KM (E) 120 KM
Answer: A
The total weight of six nougat nuggets is 7 oz. What is the average (arithmetic mean) weight of one such nougat nugget? Answer Choice: (A) 0.18 oz. (B) 0.5 oz. (C) 1.8 oz. (D) 5 oz. (E) 1.2 oz
Answer: E
A quadilateral pqrs is inscribes in a circle of center o. PQ is parallel to RS and pq= 3rs,
also QR=PS. perimeter(pqrs)= perimeter of square whose area is 36sqm,then find the approx area of pqrs Answer Choice: (A) 6root(3) (B) 12root(3) (C) 9root(3) (D) 18root(3) (E) 12root(3)
Answer: D
A man starts from B to K, another starts from K to B, at the same time. After passing each other they complete their journeys in 3.33 and 4.80 hours respectively. Find the speed of the second man if the speed of the first is 12 km/ hr Answer Choice: (A) 12 kms/hr (B) 10 kms/hr (C) 14 kms/hr (D) Data inadequate (E) none
Answer: B
Eight children — A, B, C, D, E, F, G, and H — are going to sit in eight chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children? Answer Choice: (A) 2520 (B) 5040 (C) 10,080 (D) 20,160 (E) 40,320
Answer: D
If the ratio of x to y is 1 to 5, then (y-x)/(x+y)? Answer Choice: (A) -7/3 (B) -3/7 (C) 2/3 (D) 1 (E) 2/6
Answer: C
A train speeds past a pole in 15 sec and a platform 110 m long in 25 sec, its length is? Answer Choice: (A) 165 (B) 150 (C) 988 (D) 177 (E) 171
Answer: A
Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself? Answer Choice: (A) 7 years (B) 5 years (C) 2 years (D) 4 years (E) 9 years
Answer: D
(112 x 54) = ? Answer Choice: (A) 67000 (B) 70000 (C) 76500 (D) 77200 (E) 85200
Answer: B
In a company ones salary increases 6/5 times in every year. After 4 year of joining average salary is 1342. Then what's the starting salary of the company? Answer Choice: (A) 900 (B) 1000 (C) 1100 (D) 1200 (E) 1300
Answer: B
There are 5 questions in a question paper. In an examination 5% students answer all questions and 5% answered none. 50% of the rest answered 3 questions and 20% answered 2 questions and 300 answered only 1 question. How many students appeared for the test? Answer Choice: (A) 1400 (B) 1500 (C) 1600 (D) 1700 (E) 1800
Answer: B
The length and breadth of a rectangular floor are 16.25 metre and 12.75 metre respectively. Find how many minimum number of square tiles would be required to cover it completely? Answer Choice: (A) 375 (B) 2570 (C) 2800 (D) 3315 (E) None of these
Answer: D
If 0.5% of A =95 paise, then the value of A is ? Answer Choice: (A) Rs. 190 (B) Rs. 17 (C) Rs. 1.70 (D) Rs. 4.25 (E) None
Answer: A
Look at this series: 83, 80, 85, 82, 87, 84, ... What number should come next? Answer Choice: (A) 89 (B) 95 (C) 85 (D) 83 (E) 80
Answer: A
A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is? Answer Choice: (A) 3/105 (B) 3/103 (C) 1/108 (D) 2/113 (E) 2/115
Answer: C
The value of (10^7-10^2)/(10^6-10^3) is closest to which of the following? Answer Choice: (A) 1 (B) 10 (C) 10^2 (D) 10^3 (E) 10^4
Answer: B
In Town X, 64 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town X are females? Answer Choice: (A) 16% (B) 25% (C) 32% (D) 34% (E) 52%
Answer: D
If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'7" tall, which of the following is the median height of the children? Answer Choice: (A) 2'2" (B) 2'7" (C) 3'3" (D) 3'4" (E) 4'3
Answer: B
How many times digit 6 is used while writing numbers from 80 to 1000? Answer Choice: (A) 648 (B) 300 (C) 252 (D) 225 (E) 26
Answer: D
A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year? Answer Choice: (A) 25600.24 (B) 25600.28 (C) 25600.17 (D) 25600.28 (E) 25600.22
Answer: A
A bag consists of 30 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white? Answer Choice: (A) 5/6 (B) 2/4 (C) 1/4 (D) 1/8 (E) 1/16
Answer: A
If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to: Answer Choice: (A) 55/601 (B) 601/55 (C) 11/120 (D) 120/11 (E) 120/13
Answer: C
An electric pump can fill a tank in 10 hours. Because of a leak in the tank, it took 20 hours to fill the tank. If the tank is full, how much time will the leak take to empty it? Answer Choice: (A) 10hours (B) 12hours (C) 20hours (D) 5hours (E) 15hours
Answer: C
There are 7 players in a bowling team with an average weight of 76 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight? Answer Choice: (A) 78 Kg. (B) 70 Kg. (C) 75 Kg. (D) 70 Kg. (E) 72 Kg.
Answer: A
A fair coin is tossed repeatedly. If heads appears on first 7 tosses what is the probability that tail appears on the next two tosses? Answer Choice: (A) 1/6 (B) 1/5 (C) 1/3 (D) 1/4 (E) 1/6
Answer: D
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 42 years. What is Molly's age right now? Answer Choice: (A) 24 (B) 27 (C) 30 (D) 33 (E) 36
Answer: B
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 2 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 5 hours. If at 06:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again? Answer Choice: (A) 16:00. (B) 18:00. (C) 20:00. (D) 22:00. (E) 24:00.
Answer: A
A woman buys a soccer ball for rs.9.00 and sells it for rs.12.00. Find her gain %. Answer Choice: (A) 36.33% (B) 9% (C) 33.33% (D) 24% (E) 12%
Answer: C
Which of the following is equal to 3^k*5^(k-1)? Answer Choice: (A) 3*15^(k-1) (B) 5*10^(k-1) (C) 15^k (D) 3*15^k (E) 15^(2k-1)
Answer: A
A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed? Answer Choice: (A) 4hrs (B) 6hrs (C) 8hrs (D) 9hrs (E) 11hrs
Answer: C
Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 6 people. If only Inna or Jake can drive, how many seat allocations are possible? Answer Choice: (A) 30 (B) 42 (C) 120 (D) 240 (E) 720
Answer: D
Point (j,k) is on the circle represented by j^2+k^2=10, and j, k are integers. How many such points are possible? Answer Choice: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8
Answer: E
In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number R of employees who take the subway to work? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: D
An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 4 businessmen, how many possible team submissions are possible? Answer Choice: (A) 52 (B) 100 (C) 162 (D) 198 (E) 202
Answer: A
Dan can fill Q cans of water in 7 minutes. If there are R cans of water in one gallon, how many gallons can Dan fill in 42 minutes? Answer Choice: (A) 6QR (B) 6R/Q (C) 6Q/R (D) 7Q/R (E) 7R/Q
Answer: C
Running at the same constant rate, 15 identical machines can produce a total of 45 bags per minute. At this rate, how many bags could 150 such machines produce in 8 minutes? Answer Choice: (A)  9,00 (B)  1,800 (C)  2,700 (D)  3,600 (E)  4,800
Answer: D
Given that N=a^3*b^4*c^5 where a, b and c are distinct prime numbers, what is the smallest number with which N should be multiplied such that it becomes a perfect square, a perfect cube as well as a perfect fifth power? Answer Choice: (A) a^3*b^4*c^5 (B) a^5*b^4*c^3 (C) a^2*b^3*c^5 (D) a^7*b^6*c^5 (E) a^27*b^26*c^25
Answer: E
According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 120 12-ounce smoothies? Answer Choice: (A)  120 (B)  150 (C)  180 (D)  240 (E)  600
Answer: D
Find the cost of fencing around a circular field of diameter 22 m at the rate of Rs.3 a meter? Answer Choice: (A) 288 (B) 132 (C) 772 (D) 207.3 (E) 261
Answer: D
In a sequence, each term is obtained by adding 5 to the preceding one. If the sum of the first 20 terms is equal to 350, what is the result of the addition of the first 30 terms? Answer Choice: (A) 1100 (B) 1175 (C) 1270 (D) 1275 (E) 1280
Answer: D
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 25 seconds. The ratio of their speeds is? Answer Choice: (A) 3/1 (B) 4/1 (C) 3/3 (D) 3/5 (E) 5/2
Answer: B
The price of lunch for 15 people was $210.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity? Answer Choice: (A)  $11.73 (B)  $12.72 (C)  $13.80 (D)  $14.00 (E)  $15.87
Answer: B
Solve for x
if (log2)(1-x/2)=x-2. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.85 less, he could have gained 25%. What is the cost price? Answer Choice: (A) s.370 (B) s.375 (C) s.425 (D) s.350 (E) s.300
Answer: C
In a certain company, a third of the workers do not have a retirement plan. 10% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women? Answer Choice: (A) 80 (B) 95 (C) 105 (D) 120 (E) 91
Answer: E
Rs 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10%? Answer Choice: (A) 30000 (B) 40000 (C) 50000 (D) 60000 (E) 70000
Answer: A
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) 17/65 (B) 17/29 (C) 17/21 (D) 17/20 (E) 17/212
Answer: D
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 75 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains? Answer Choice: (A) 93% (B) 97% (C) 100% (D) 107% (E) 99%
Answer: E
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 15%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available? Answer Choice: (A) 20% (B) 25% (C) 33.33% (D) 40% (E) 15%
Answer: E
Jack and Jill are marathon runners. Jack can finish a marathon (40 km) in 4.5 hours and Jill can run a marathon in 4.0 hours.What is the ratio of their average running speed? (Jack: Jill) Answer Choice: (A) 14/15 (B) 15/14 (C) 8/9 (D) 5/4 (E) Cannot be determined
Answer: C
A train sets off at 2 p.m. at the speed of 60 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 70 kmph. At what time the trains will meet? Answer Choice: (A) 0.37 p.m (B) 0.20 p.m (C) 0.30 a.m. (D) 0.38 p.m (E) 0.10 p.m
Answer: C
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 90% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected? Answer Choice: (A) 12% (B) 16% (C) 20% (D) 24% (E) 40%
Answer: B
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age seven years back was? Answer Choice: (A) 12yr (B) 15yr (C) 20yr (D) 25yr (E) 30yr
Answer: A
A store owner estimates that the average price of type A products will increase by 35% next year and that the price of type B products will increase by 20% next year. This year, the total amount aid for type A products was $3500 and the total price paid for type B products was $6300. 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) $16,000 (D) $12,285 (E) $17,155
Answer: D
Of 70 players on a football team, 52 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Answer Choice: (A) 54 (B) 59 (C) 63 (D) 64 (E) 92
Answer: D
If a(a + 2) = 35 and b(b + 2) = 35, where a ≠ b, then a + b = Answer Choice: (A) -5 (B) -6 (C) -7 (D) -2 (E) -10
Answer: D
Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point W at the same time, how long, in hours, after the trains depart will they again meet at Point W? Answer Choice: (A) 3 (B) 6 (C) 9 (D) 18 (E) 22
Answer: B
In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr? Answer Choice: (A) 2.5 (B) 2.9 (C) 4 sec (D) 2.8 (E) 2.1
Answer: C
The total circumference of two circles is 80. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii? Answer Choice: (A) 5.7 (B) 6.0 (C) 10.6 (D) 9.7 (E) 18.0
Answer: C
Which of the following equations has a root in common with x^2−3x+2=0 ? Answer Choice: (A) x^2-2x+1=0 (B) x^2-2x-1=0 (C) x^2-x+1=0 (D) x^2-3x+3=0 (E) x^2-7x=0
Answer: A
Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ? Answer Choice: (A) 30 litres (B) 31 litres (C) 32 litres (D) 33 litres (E) 34 litres
Answer: B
Find the missing number. 1, 4, 9, 16, 25, 36, 49, (....) Answer Choice: (A) 64 (B) 54 (C) 56 (D) 81 (E) 85
Answer: A
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 36 grams of protein daily, how many grams of food X are in the mixture. Answer Choice: (A) 120 (B) 140 (C) 150 (D) 160 (E) 180
Answer: E
When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following E is a possible value for x + y?
I. 18
II. 19
III. 20 Answer Choice: (A) I only (B) II only (C) E=III only (D) II and III only (E) None
Answer: C
96% of the population of a village is 23040. The total population of the village is? Answer Choice: (A) 29992 (B) 24000 (C) 26892 (D) 29991 (E) 29878
Answer: B
The average age of 15 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 10 students is 16 years. Tee age of the 15th student is? Answer Choice: (A) 18years (B) 16years (C) 14years (D) 12years (E) 10years
Answer: E
The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 752 (B) 799 (C) 719 (D) 750 (E) 900
Answer: E
We made a down payment of $100 and borrowed the balance on a new piano which cost $1000. The balance with interest was paid in 23 monthly payments of $40 each and a final payment of $70. The amount of interest paid was what percent of the amount borrowed? Answer Choice: (A) 6% (B) 7% (C) 8% (D) 9% (E) 10%
Answer: E
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? Answer Choice: (A) 100 m (B) 200 m (C) 600 m (D) 800 m (E) 400 m
Answer: A
P is a prime number. If 6p is between 15 and 95, which of the following W can be a value of 7p + 2? Answer Choice: (A) W=15 (B) W=79 (C) 121 (D) 65 (E) 21
Answer: B
David has s pairs of shoes, which is 1/4 as many as Mary and twice as many as Jones. In terms of s, how many pairs of shoes do the three of them have combined? Answer Choice: (A) 9/2*s (B) 7/2*s (C) 3s (D) 11/2*s (E) 5/2*s
Answer: D
2224 × 9997 = ? Answer Choice: (A) 22244428 (B) 22255538 (C) 22233328 (D) 22266628 (E) 22233327
Answer: C
If Finn was 15 months old one year ago, how old was he, in months, x months ago? Answer Choice: (A) x − 30 (B) x − 12 (C) 18 − x (D) 27 − x (E) 30 − x
Answer: D
A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work? Answer Choice: (A) 6 2/3 days. (B) 2 2/3 days. (C) 7 2/3 days. (D) 1 2/3 days. (E) 5 2/3 days.
Answer: B
(A% of 4B + B% of A) is equal to ? Answer Choice: (A) A% of B (B) B% of A (C) 5% of AB (D) AB% of 3 (E) None
Answer: C
Pipes A and B can fill a tank in 4 and 7 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in? Answer Choice: (A) 60/17 hr (B) 13/12 hr (C) 42/13 hr (D) 13/42hr (E) 14/11 hr
Answer: C
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article? Answer Choice: (A) 1400 (B) 1300 (C) 1200 (D) 1100 (E) None of these
Answer: C
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long? Answer Choice: (A) 187 (B) 190 (C) 177 (D) 188 (E) 112
Answer: B
5358 x 51 = ? Answer Choice: (A) 273232 (B) 273243 (C) 273247 (D) 273250 (E) 273258
Answer: E
Elena’s bread recipe calls for 5 ounces of butter for each 7 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed? Answer Choice: (A) 1 (B) 4 (C) 9 (D) 13 (E) 28
Answer: E
The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.20 in 1970 was 150 percent of its price in 1960, what was its price in 1980? Answer Choice: (A) $ 1.80 (B) $ 2.00 (C) $ 2.40 (D) $ 2.70 (E) $ 3.00
Answer: A
Solve for x and check: x + 5 = 3 Answer Choice: (A) 2 (B) 3 (C) 1 (D) -2 (E) 4
Answer: D
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph? Answer Choice: (A) 32 km (B) 25 km (C) 28 km (D) 24 km (E) 20 km
Answer: E
A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers G are possible? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 3 (E) Not possible
Answer: C
19 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played? Answer Choice: (A) 286 (B) 342 (C) 422 (D) 540 (E) 618
Answer: B
The sector of a circle has radius of 21 cm and central angle 130o. Find its perimeter? Answer Choice: (A) 89.7 (B) 91.4 (C) 91.7 (D) 91.3 (E) 91.1
Answer: A
Twenty one identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by two days? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 9
Answer: D
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: A
A man borrows Rs. 1200.00 from a bank for a period of 3 months. He finds that he has to repay Rs.1236.00. The bank rate of interest is: Answer Choice: (A) 3% (B) 12% (C) 6% (D) 22% (E) 14%
Answer: B
In a camp, there is a meal for 90 men or 160 children. If 110 children have taken the meal, how many men will be catered to with remaining meal? Answer Choice: (A) 20 (B) 30 (C) 50 (D) 28 (E) 40
Answer: D
Three printing presses, E, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take E, working alone at its constant rate, to do the same job? Answer Choice: (A) 8 (B) 10 (C) 12 (D) 15 (E) 20
Answer: E
If y > 0, (2y)/10 + (3y)/10 is what percent of y? Answer Choice: (A) 40% (B) 50% (C) 60% (D) 70% (E) 80%
Answer: B
If x = y+4.5x and y = x+18, what is the value of x/y ? Answer Choice: (A) -6/5. (B) -7/20. (C) 1/4. (D) -2/7. (E) 1.5.
Answer: D
Jill works as a waitress at the local diner where she earns an hourly wage of $7.00 per hour and a standard tip rate of 5% of the cost of the orders she serves. If she worked four 12-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week? Answer Choice: (A) 280 (B) 300 (C) 320 (D) 432 (E) 400
Answer: D
Ramesh, Kiran and Ram started a business with capitals of Rs. 2000, Rs. 8000 and Rs. 6000 respectively. At the end of the year, the profit share of Kiran is Rs. 400. The difference between the profit shares of Ramesh and Ram is? Answer Choice: (A) 694 (B) 369 (C) 200 (D) 2356 (E) 1547
Answer: C
Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/12 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $20 more than Eliot in his account. How much money does Eliot have in his account right now? Answer Choice: (A) $110 (B) $120 (C) $180 (D) $200 (E) $260
Answer: D
Carol is Five times Alice’s age but only twice as old as Betty. Alice is twelve years younger than Carol. How old is Betty? Answer Choice: (A) 6 (B) 9 (C) 12 (D) 18 (E) 24
Answer: A
In a certain random experiment, exactly one of the outcomes A, B, and J will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and J will occur twice? Answer Choice: (A) 5/243 (B) 1/12 (C) 10/81 (D) 1/6 (E) 16/81
Answer: C
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 4000. With the help of C, they completed the work in 3 days. How much is to be paid to C? Answer Choice: (A) s. 375 (B) s. 400 (C) s. 500 (D) s. 800 (E) s. 850
Answer: C
The smallest value of n, for which n+1 is not a prime number, is Answer Choice: (A) 5 (B) 6 (C) 8 (D) 3 (E) 10
Answer: D