loafeihong/math_mmlu_format huggingface dataset:
Ten students in a computer skills company can touch-type and the other 15 can use a particular word processing program. If 13 of the students can neither use the program nor touch-type, then how many students are in the class? Answer Choice: (A) 46 (B) 42 (C) 38 (D) 34 (E) 19
Answer: D
A certain furniture can be repaired for $15.50 and will last for 1 year. A same kind of furniture can be purchased new for $40.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes? Answer Choice: (A) 28.9 (B) 31.4 (C) 27.8 (D) 29.03 (E) 30
Answer: D
What is the tens digit of 6^10? Answer Choice: (A) 7 (B) 3 (C) 5 (D) 1 (E) 9
Answer: A
The sum of the mean, the median, and the range of the set {5,6,7} equals which one of the following values? Answer Choice: (A) 18 (B) 14 (C) 16 (D) 12 (E) 10
Answer: A
The food in a camp lasts for 20 men for 40 days. If ten more men join, the food will last for how many days ? Answer Choice: (A) 40 days (B) 27 days (C) 37 days (D) 50 days (E) 45 days
Answer: B
Which of the following CANNOT be the least common multiple of two positive integers x and y Answer Choice: (A) xy (B) x (C) y (D) y - x (E) x + y
Answer: D
In a sports club with 42 members, 20 play badminton and 23 play tennis and 6 do not play either. How many members play both badminton and tennis? Answer Choice: (A) 3 (B) 5 (C) 6 (D) 7 (E) 8
Answer: D
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 3 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? Answer Choice: (A) 2.5 hours (B) 4.5 hours (C) 5.5 hours (D) 1.5 hour (E) None of these
Answer: B
The probability that B can shoot a target 3 out of 3 times is 0.25. What is the probability that the target will be missed by B immediately after such two shots? Answer Choice: (A) 0.25 (B) 0.5 (C) 0.4 (D) 0.75 (E) 0.8
Answer: D
A train passes a station platform in 18 seconds and a man standing on the platform in 12 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 100 (B) 150 (C) 96 (D) 88 (E) 90
Answer: E
Of two numbers, 4 times the smaller one is less then 3 times the 1arger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers. Answer Choice: (A) 59 and 43 (B) 55 and 44 (C) 58 and 43 (D) 59 and 42 (E) 57 and 40
Answer: A
If the height of a cone is increased by 140% then its volume is increased by? Answer Choice: (A) 100 (B) 140 (C) 998 (D) 729 (E) 2879
Answer: B
How many times do the hands of a clock coincide in a day? Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24
Answer: C
The distance between Delhi and Mathura is 125 kms. A starts from Delhi with a speed of 25 kmph at 9 a.m. for Mathura and B starts from Mathura with a speed of 35 kmph at 10 a.m. from Delhi. When will they meet? Answer Choice: (A) 11 1/2 (B) 77 2/3 (C) 16 3/4 (D) 10 (E) 98
Answer: A
A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes john can make using this recipe? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
Find the 10th term of an arithmetic progression whose first term is 8 and the common difference is 2. Answer Choice: (A) 45 (B) 26 (C) 44 (D) 40 (E) 46
Answer: B
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) 13:9 (B) 12:2 (C) 19:3 (D) 19:5 (E) 19:7
Answer: D
A container holds 4 quarts of alcohol and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume? Answer Choice: (A) 4/3 (B) 5/3 (C) 7/3 (D) 8/3 (E) 10/3
Answer: D
In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 14 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: E
Nona is one-third as old as her mother. Five years ago, she was only one-fifth of the age of her mother. How old is Nona now? Answer Choice: (A) 11.5 (B) 12.5 (C) 13.5 (D) 14.5 (E) 15.5
Answer: B
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24
Answer: A
If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 20 days. If he works at reduced efficiency, he can work without break and finish that same job in 20 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency? Answer Choice: (A) 7/3 (B) 5/2 (C) 6/5 (D) 1/5 (E) 9/5
Answer: A
The length of a train and that of a platform are equal. If with a speed of 126 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 757 (B) 758 (C) 1050 (D) 750 (E) 738
Answer: C
At a certain conference, 32% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 50% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance? Answer Choice: (A)  18.0% (B)  62.0% (C)  79.2% (D)  64.0% (E)  82.0%
Answer: D
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.32, the number of 25 paisa coins is? Answer Choice: (A) 30 (B) 31 (C) 32 (D) 34 (E) 38
Answer: C
Whats the next number in this number series ?
18, 46, 94, 63, 52, ? Answer Choice: (A) 44 (B) 34 (C) 45 (D) 65 (E) 61
Answer: E
In the xy-plane, a line has slope 4 and x-intercept 3. What is the y-intercept of the line? Answer Choice: (A) -12 (B) -3 (C) 0 (D) 3 (E) 9
Answer: A
The average (arithmetic mean) of six numbers is 8. If 3 is subtracted from each of four of the numbers, what is the new average? Answer Choice: (A) 6 (B) 2 (C) 3 (D) 4 (E) 4.5
Answer: A
The average of first five multiples of 5 is? Answer Choice: (A) 6 (B) 8 (C) 9 (D) 15 (E) 7
Answer: D
Two numbers are in the ratio of 5:7. If 20 is subtracted from each number, they are in the ratio of 5:9. What are the two numbers? Answer Choice: (A) 35, 49 (B) 40, 56 (C) 45, 63 (D) 50, 70 (E) 55, 77
Answer: B
Three dwarves and three elves sit down in a row of six chairs. If no dwarf will sit next to another dwarf and no elf wil sit next to another elf, in how many different ways can the elves and dwarves sit? Answer Choice: (A) 16 (B) 26 (C) 36 (D) 63 (E) 72
Answer: E
For positive integers q and r, which of the following can be written as r^2? Answer Choice: (A) q^2-12 (B) q^2-11 (C) q^2-10 (D) q^2-9 (E) q^2-14
Answer: D
What is the area of a square field whose diagonal of length 20 m? Answer Choice: (A) 238 (B) 379 (C) 200 (D) 328 (E) 397
Answer: C
sue has 3 apples. Billy has 12 apples. If billy steals all of sues apples and eats 4 how many does he have left? Answer Choice: (A) 11 (B) 10 (C) 7 (D) 9 (E) 8
Answer: A
Calculate how many days it will take for 7 boys to wash a 35 m long wall if 5 boys can wash a 25 m long wall in 4 days, Answer Choice: (A) 6 days (B) 3 days (C) 4 days (D) 2 days (E) 5 days
Answer: C
What are the last two digits of (301*402*503*604*646*547*448*349)^2 Answer Choice: (A) 96 (B) 76 (C) 56 (D) 36 (E) 16
Answer: B
If the simple interest on a sum of money at twelve percent per annum for two years is Rs.3800, compound interest on the same sum for the same period at the same rate of interest is Answer Choice: (A) Rs.4028 (B) Rs.4100 (C) Rs.4128 (D) Rs.4228 (E) Rs.4328
Answer: A
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.600, find the original price per kg? Answer Choice: (A) s.11 (B) s.14 (C) s.15 (D) s.21 (E) s.29
Answer: C
In how many years Rs 200 will produce the same interest at 10% as Rs. 400 produce in 5 years at 12% Answer Choice: (A) 16 (B) 13 (C) 12 (D) 14 (E) 15
Answer: C
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit? Answer Choice: (A) 20000 (B) 22000 (C) 24000 (D) 26000 (E) 30000
Answer: E
A merchant marks his goods up by 30% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount? Answer Choice: (A) 8% (B) 10% (C) 21% (D) 15% (E) 17%
Answer: E
What is the remainder when 10^49 + 2 is divided by 11? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 7
Answer: A
How many positive integers less than 400 can be formed using the numbers 1, 2, 3 and 5 for the digits? Answer Choice: (A)  48 (B)  52 (C)  66 (D)  84 (E)  68
Answer: E
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Answer Choice: (A) 2000 (B) 2388 (C) 2798 (D) 2666 (E) 1081
Answer: A
Which of the following is closest to (-5/6)^199？ Answer Choice: (A) -1 (B) -1/2 (C) 0 (D) 1 (E) 2
Answer: C
In a group of 4 boys and 6 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included? Answer Choice: (A) 185 (B) 197 (C) 209 (D) 221 (E) 233
Answer: C
A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 76 (E) 7
Answer: A
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 45 minutes. The total distance is? Answer Choice: (A) 1 km (B) 2.87 km (C) 3 km (D) 4 km (E) 5 km
Answer: B
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 45 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) $18,000 (D) $21,360 (E) $29,160
Answer: E
If the range of the set of numbers {150, 90, 125, 110, 170, 155, x, 100, 140} is 90, which of the following could be x? Answer Choice: (A) 80 (B) 95 (C) 110 (D) 125 (E) 140
Answer: A
If 1535/1038 = a+1/[b+1/{c+(d+ 1/e)}]. Find a*b*c*d*e? Answer Choice: (A) 165/2 (B) 175/2 (C) 178/3 (D) 187 by 2 (E) 197/2
Answer: D
In order to complete a reading assignment on time, Terry planned to read 80 pages per day. However, she read only 40 pages per day at first, leaving 1000 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time? Answer Choice: (A) 18 (B) 19 (C) 17 (D) 16 (E) 15
Answer: B
Age of a father and his son is in the ratio of 5 : 2. After two years, the ratio becomes 19 : 8. What are the present ages of father and son respectively ? Answer Choice: (A) 45 and 12 (B) 35 and 12 (C) 40 and 16 (D) 45 and 18 (E) 55 and 22
Answer: E
What is the sum of the prime factors of 121 and the prime factors of 7434 Answer Choice: (A) 27 (B) 67 (C) 57 (D) 37 (E) 47
Answer: D
15% people of a village in Sri Lanka died by bombardment, 25% of the remainder left the village on account of fear. If now the population is reduced to 4555, how much was it in the beginning? Answer Choice: (A) 7400 (B) 7145 (C) 7200 (D) 7323 (E) 6030
Answer: B
A goods train runs at a speed of 72 kmph and crosses a 250 m long platform in 26 seconds.What is the length of the goods train? Answer Choice: (A) 230 m (B) 240 m (C) 260 m (D) 270 m (E) 250 m
Answer: D
Find the odd man out
1,5,14,30,50,55,91. Answer Choice: (A) 5 (B) 50 (C) 55 (D) 91 (E) 1
Answer: B
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube? Answer Choice: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14
Answer: A
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 870 in 4 years. The rate of interest per annum is? Answer Choice: (A) 2 1/2 % (B) 8 3/4% (C) 5% (D) 6 2/3 % (E) 6%
Answer: B
A waitress's income consists of her salary and tips.During one week ,her tips were 2/4 of her salary.What fraction of her income for the week came from tips? Answer Choice: (A) 1/9 (B) 1/6 (C) 1/3 (D) 4/9 (E) 5/9
Answer: C
A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ? Answer Choice: (A) 13 (B) 15 (C) 17 (D) 20 (E) 22
Answer: A
34.94 + 240.016 + 23.98 = ? Answer Choice: (A) 298.936 (B) 298.694 (C) 289.496 (D) 289.469 (E) 298.964
Answer: A
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%? Answer Choice: (A) 16 2/9% (B) 16 4/3% (C) 16 2/3% (D) 16 3/3% (E) 12 2/3%
Answer: C
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Answer Choice: (A) Rs.4082.67 (B) Rs.4082.99 (C) Rs.4082.29 (D) Rs.4082.40 (E) Rs.4082.12
Answer: D
How many different subsets of the set {10, 12, 17, 24} are there that contain an odd number of elements? Answer Choice: (A)  3 (B)  8 (C)  6 (D)  10 (E)  12
Answer: B
A car travels from B at a speed of 20 km/hr. The bus travel starts from A at a time of 6 A.M. There is a bus for every half an hour interval. The car starts at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is 100 km. During its journey ,The number of buses that the car encounter is ? Answer Choice: (A) 15 (B) 16 (C) 17 (D) 18 (E) 19
Answer: C
On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.7, what is the probability that Malachi will return home at the end of the day on the following Monday? Answer Choice: (A) 0.063 (B) 0.125 (C) 0.128 (D) 0.512 (E) 0.64
Answer: A
John makes $40 a week from his job. He earns a raise and now makes $60 a week. What is the % increase? Answer Choice: (A) 16% (B) 16.66% (C) 18% (D) 21% (E) 50%
Answer: E
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $3420. What is the average monthly balance maintained by John in his
account during the year? Answer Choice: (A) 2840 (B) 5680 (C) 6840 (D) 7540 (E) 17100
Answer: E
If 14 lions can kill 14 deers in 14 minutes how long will it take 100 lions to kill 100 deers? Answer Choice: (A) 1 minutes (B) 14 minute (C) 100 minutes (D) 10000 minutes (E) 1000 minutes
Answer: B
The remainder obtained by the division of two numbers by a common divisor are 33 and 47 respectively. However when the sum of these two numbers is divided by the same divisor, the remainder obtained is only 30. What is the divisor? Answer Choice: (A) 20 (B) 30 (C) 40 (D) 50 (E) 65
Answer: D
jess bakes 5 biscuits for 5 friends. 3 of the friend arrive early and eat 3 biscuits each. How many biscuits are left over if the other friends all have the same number of biscuits? Answer Choice: (A) 7 (B) 1 (C) 0 (D) 3 (E) 4
Answer: C
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal? Answer Choice: (A) 37 (B) 28 (C) 30 (D) 19 (E) 12
Answer: C
A dragon has 100 heads. A soldier can cut off 15, 17, 20 or 5 heads, respectively with one blow of his sword. In each of these cases, 24, 2, 14, 17 new heads grow on its shoulders. If all heads are cut off, the dragon dies. Can the dragon ever die? Answer Choice: (A) 61 (B) 3 (C) 5 (D) 6 (E) 1
Answer: B
Find the next number in the series
1, 6, 13, 22, 33, ...... Answer Choice: (A) 44 (B) 45 (C) 46 (D) 47 (E) 48
Answer: C
Which of the following is between 1/9 and 5/21? Answer Choice: (A) 2/13 (B) 3/8 (C) 1/2 (D) 5/8 (E) 7/9
Answer: A
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.12 of money? Answer Choice: (A) 1200 (B) 1992 (C) 9921 (D) 2798 (E) 2789
Answer: A
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1620 are infected, how manyworkersinhabit the colony? Answer Choice: (A) 1500 (B) 2500 (C) 2750 (D) 3000 (E) 3250
Answer: D
The below sequence is a bit tricky. Can you solve it to find the next number?
7, 25, 325, 4325, ? Answer Choice: (A) 29816 (B) 38291 (C) 54327 (D) 38290 (E) 55291
Answer: C
Which of the following fractions W, if written as a decimal, would have a 2 in the thousandths place ? Answer Choice: (A)  3/11 (B)  7/9 (C)  1/8 (D)  4/7 (E)  1/6
Answer: A
What will come in place of the question mark (?) in the following equation?
25(7.5) × 5(2.5) ÷ 125(1.5) = 5? Answer Choice: (A) 16 (B) 17.5 (C) 8.5 (D) 13 (E) None of these
Answer: D
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is? Answer Choice: (A) 36 (B) 67 (C) 87 (D) 56 (E) 51
Answer: A
For 1rs 6p interest
wat will be for 1000rs? Answer Choice: (A) 45Rs (B) 50Rs (C) 40Rs (D) 30Rs (E) 60Rs
Answer: E
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are Answer Choice: (A) 4, 8, 12 (B) 5, 10, 15 (C) 10, 20, 30 (D) 12, 24, 36 (E) None of these
Answer: D
if i sell two articles, one at 20% profit for rs.100 and the other at 20% loss for rs.100, what is my net profit/loss? Answer Choice: (A) 4.16 profit (B) 4.00 loss (C) 8.33 profit (D) 8.33 loss (E) none
Answer: B
In a barrel of juice there is 30 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer? Answer Choice: (A) 3:2. (B) 2:1. (C) 3:1. (D) 4:3. (E) 3:4
Answer: B
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 2 years (B) 4 years (C) 6 years (D) 7 years (E) 6 years
Answer: C
How many positive integers will divide evenly into 410? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 12 (E) 16
Answer: C
The sum of money at compound interest amounts to thrice itself in 5 years. In how many years will it be 15 times itself? Answer Choice: (A) 8 years (B) 9 years (C) 10 years (D) 25 years (E) 3 years
Answer: D
If the Average (mean ) of 9 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be Answer Choice: (A) 8x (B) 4x (C) 5x/3 (D) 3x/2 (E) 3x/5
Answer: A
Factor: 2x4y3 â€“ 32y3 Answer Choice: (A) A) 3y3(x2 + 4)(x + 2)(x -2) (B) B) 2y3(x2 + 4)(x + 2)(x -2) (C) C) 3y3(x2 + 4)(x + 2)(x -3) (D) D) 3y3(x2 + 4)(x + 3)(x -2) (E) E) 3y3(x2 + 4)(x + 2)(x -4)
Answer: B
If there are 6 seats and 2 students, in how many ways can they be seated? Answer Choice: (A) 25 (B) 30 (C) 35 (D) 40 (E) 45
Answer: B
David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ? Answer Choice: (A) 75 (B) 77 (C) 28 (D) 29 (E) 26
Answer: A
A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 11 hours longer than the first half, how many hours did it take the runner to run the second half? Answer Choice: (A) 14 (B) 15 (C) 18 (D) 22 (E) 33
Answer: D
On a scale that measures the intensity of a certain phenomenon, a reading of f+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of f. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3? Answer Choice: (A)  5 (B)  50 (C)  10^5 (D)  5^10 (E)  8^10 - 3^10
Answer: C
Michelle leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Michelle, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Michelle is 30 km\hr, find the speed of his son. Answer Choice: (A) 15km/hr (B) 6 km/hr (C) 4.28 km/hr (D) 9 km/hr (E) 4.12 km/hr
Answer: C
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is? Answer Choice: (A) 5 days (B) 7 days (C) 8 days (D) 6 days (E) 4 days
Answer: A
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.17 per cubic meter? Answer Choice: (A) 2998 (B) 2799 (C) 2890 (D) 1683 (E) 2780
Answer: D
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a14? Answer Choice: (A) 100 (B) 55 (C) 27 (D) 19 (E) 1
Answer: C
If s and t are positive integers, and 3 is not a factor of t, then t may be which of the following? Answer Choice: (A) (s−1)·s·(s+1) (B) (s−3)·(s−1)·(s+1) (C) (s−2)·s·(s+2) (D) (s−1)·s·(s+2) (E) (s−3)·(s+1)·(s+2)
Answer: D
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following E must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z. Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) E=None of the above
Answer: E
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? Answer Choice: (A) 3 days (B) 4 days (C) 5 days (D) 6 days (E) 7 days
Answer: B
What least no. must be subtracted from 101054 so that remaining no.is divisible by 10? Answer Choice: (A) 6 (B) 4 (C) 8 (D) 5 (E) 3
Answer: B
In triangle PQR, the angle Q = 90 degree, PQ = 7 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ Answer Choice: (A) 5.6 cm (B) 2.4 cm (C) 4.8 cm (D) 2.16 cm (E) 3.2 cm
Answer: A
What is y if y + 2x = 10 and x = 3? Answer Choice: (A) A)10 (B) B)8 (C) C)6 (D) D)4 (E) E)2
Answer: D
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is: Answer Choice: (A) 276 (B) 299 (C) 322 (D) 345 (E) 367
Answer: C
Find the average of all numbers between 1 and 13 which are divisible by 2 Answer Choice: (A) 15 (B) 21 (C) 25 (D) 30 (E) 35
Answer: B
If x is equal to the sum of the integers from 30 to 40, inclusive, and y is the number of EVEN integers from 30 to 40, inclusive, what is the value of x+y ? Answer Choice: (A) 171 (B) 281 (C) 391 (D) 591 (E) 601
Answer: C