loafeihong/math_mmlu_format huggingface dataset:
In what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each 100 m in length both trains running with a speed of 80 kmph? Answer Choice: (A) 4.5 sec (B) 4.8 sec (C) 4.2 sec (D) 5.0 sec (E) 5.2 sec
Answer: A
14, 35, 49, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence? Answer Choice: (A) 560 (B) 259 (C) 562 (D) 686 (E) 847
Answer: C
The product of all the prime numbers less than 12 is closest to which of the following powers of 10? Answer Choice: (A) a) 10^9 (B) b) 10^8 (C) c) 10^7 (D) d) 10^3*2.31 (E) e) 10^5
Answer: D
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black? Answer Choice: (A) 1/5 (B) 3/7 (C) 2/5 (D) 3/5 (E) 2/7
Answer: B
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? Answer Choice: (A) Rs.15009 (B) Rs.15029 (C) Rs.15072 (D) Rs.15000 (E) Rs.15021
Answer: D
Three positive integers a, b, and c are such that their average is 18 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c? Answer Choice: (A) 21 (B) 23 (C) 25 (D) 27 (E) 29
Answer: B
At a summer camp with 1,200 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,200 campers will the 8- to 12-year-olds represent? Answer Choice: (A) 66 2/3% (B) 60% (C) 50% (D) 45% (E) 40%
Answer: A
Niall's income is 60% less than Rex's income, and Sam's income is 25% less than Niall's income. If Rex gave 60% of his income to Sam and 40% of his income to Niall, Niall's new income would be what fraction of Sam's new income? Answer Choice: (A) 8/9 (B) 11/12 (C) 8/13 (D) 11/13 (E) 12/13
Answer: A
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 160 m long? Answer Choice: (A) 41.6 sec (B) 11 sec (C) 88 sec (D) 19 sec (E) 10 sec
Answer: A
How many kgs of flour worth 25 per kg must be blended with 30 kgs of flour worth ` 30 per kg so that by selling the blended variety at X 30 per kg there should be a gain of 10%? Answer Choice: (A) 32 kg (B) 40 kg (C) 36 kg (D) 42 kg (E) None of these
Answer: C
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss? Answer Choice: (A) 288 (B) 280 (C) 268 (D) 256 (E) 876
Answer: B
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. How many workers are there in the workshop? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25
Answer: A
I had about Rs.14.40 in one rupee coins and 20 paise coins when I went out for shopping.
When I returned, I found that number of 20 paise coins and 1 rupee coins are exactly as 1
rupee and 20 paise coins respectively, that I had originally. I came back with one third of
what I had started out with. How many one rupee coins did I have initially? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18
Answer: C
If f and p are two positive integers and f/p = 1.35, then f can equal which one of the following? Answer Choice: (A)  21 (B)  28 (C)  20 (D)  27 (E)  23
Answer: D
During the first two weeks of March, the total rainfall in Springdale was 25 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of March? Answer Choice: (A) 10 (B) 12 (C) 15 (D) 16 (E) 18
Answer: C
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 30 pages. Answer Choice: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16
Answer: C
One fourth of a solution that was 12% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight? Answer Choice: (A) 28% (B) 34% (C) 22% (D) 18% (E) 8.5%
Answer: A
Daniel went to a shop and bought things worth Rs. 25, out of which 60 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) A)14.4 (B) B)20 (C) C)21.3 (D) D)21.5 (E) E)22
Answer: A
how many such letters pairs are in word MONKEY having same no. of letters left between them in the word as they have in the series Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length? Answer Choice: (A) 42 seconds (B) 47 seconds (C) 40 seconds (D) 49 seconds (E) 45 seconds
Answer: C
How many multiples of 8 are less than 4500, and also multiples of 12? Answer Choice: (A) 104.6 (B) 187.5 (C) 625.6 (D) 450.5 (E) 467.4
Answer: B
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 20% 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 10%. If Ron imported a $20,000 imported car and ended up paying $2500 in taxes, what is the first tier's price level? Answer Choice: (A) $6000 (B) $5500 (C) $5000 (D) $5700 (E) $5800
Answer: C
In six successive games, a baseball team scored 4 runs once, 7 runs twice, and 10 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period? Answer Choice: (A) 8 (B) 7 (C) 6 (D) 5 (E) 4
Answer: A
A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D? Answer Choice: (A) 2 (B) 3 (C) 6 (D) 12 (E) 14
Answer: C
If 20% of a number = 200, then 120% of that number will be? Answer Choice: (A) 20 (B) 120 (C) 360 (D) 1200 (E) 820
Answer: D
When positive integer x is divided by positive integer y, the remainder is 8. If x/y = 96.16, what is the value of y? Answer Choice: (A) 96 (B) 75 (C) 50 (D) 25 (E) 12
Answer: C
The circumferences of two circles are 660 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles? Answer Choice: (A) 2996 sq m (B) 4774 sq m (C) 4312 sq m (D) 2768 sq m (E) 2786 sq m
Answer: B
How many positive integers will divide evenly into 530? Answer Choice: (A) 8 (B) 12 (C) 16 (D) 18 (E) 20
Answer: D
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? Answer Choice: (A) 230 (B) 881 (C) 711 (D) 622 (E) 211
Answer: A
Ratio of two numbers x and y is 7:9. If x is increased by 20% and y is increased by 33 then the new ratio becomes 1:5. What is the ratio 2y:(x+4) Answer Choice: (A) 18:11 (B) 8:1 (C) 11:18 (D) 1:8 (E) 1:1
Answer: A
In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 45% of all the employees are men .What % of all the employee went to the picnic? Answer Choice: (A) 31% (B) 34% (C) 35% (D) 36% (E) 37%
Answer: A
200,190,180,....,160,150,140
Insert the missing number Answer Choice: (A) 155 (B) 156 (C) 157 (D) 170 (E) 158
Answer: D
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? Answer Choice: (A) 120 (B) 720 (C) 4320 (D) 2160 (E) 3570
Answer: B
Two members of a certain club are selected to speak at the next club meeting. If there are 45 different possible selections of the 2 club members, how many members does the club have? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 10
Answer: E
From among the 35 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done? Answer Choice: (A) 1360 (B) 1260 (C) 1060 (D) 1190 (E) 1460
Answer: D
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 70 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. Answer Choice: (A) 22 (B) 10 (C) 25 (D) 99 (E) 21
Answer: B
Seats for Maths, Physics and Biology are in the ratio of 4 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats? Answer Choice: (A) 2 : 3 : 4 (B) 6 : 7 : 8 (C) 8 : 15 : 20 (D) Cannot be determined (E) None of these
Answer: C
A 5" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted? Answer Choice: (A) 16 blocks (B) 20 blocks (C) 27 blocks (D) 36 blocks (E) 64 blocks
Answer: C
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $5 on candy, how much did John spend at the supermarket? Answer Choice: (A)  $75 (B)  $80 (C)  $90 (D)  $120 (E)  $180
Answer: A
In how many ways can the letters of the word TATTOO be arranged? Answer Choice: (A) 1206 (B) 1348 (C) 2520 (D) 60 (E) 3478
Answer: D
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 45 years. What will be the age of the B ten years hence? Answer Choice: (A) 22 (B) 77 (C) 26 (D) 96 (E) 90
Answer: E
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players? Answer Choice: (A) 1134 (B) 1234 (C) 1257 (D) 1259 (E) 1365
Answer: E
A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 10 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees? Answer Choice: (A) 5 (B) 7 (C) 8 (D) 10 (E) 12
Answer: E
If x^2+4x+3 is odd, then which one of the following could be the value of x. Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 9
Answer: B
Which is the following is divisible by 11 Answer Choice: (A) A)109 (B) B)4825 (C) C)4805 (D) D)4905 (E) E)4906
Answer: A
A train 280 m long, running with a speed of 63 km/hr will pass a tree in? Answer Choice: (A) 76 sec (B) 16 sec (C) 15 sec (D) 17 sec (E) 19 sec
Answer: B
A cycle is bought for Rs.840 and sold for Rs.1220, find the gain percent? Answer Choice: (A) 70% (B) 45% (C) 48% (D) 30% (E) 40%
Answer: B
The average of 35 students in a class is 17 years. The average age of 25 students is 15. What is the average age of remaining 10 students? Answer Choice: (A) 26 years (B) 27 years (C) 28 years (D) 29 years (E) 30 years
Answer: C
In what ratio should rice at Rs.9.30 per Kg be mixed with rice at Rs. 10.80 per Kg so that the mixture
be worth Rs.10 per Kg ? Answer Choice: (A) 7 : 8 (B) 8 : 7 (C) 6 : 7 (D) 7 : 6 (E) None of these
Answer: B
What will be the difference between simple and compound interest @25% per annum on a sum of $3600 after 2 years? Answer Choice: (A) $150 (B) $220 (C) $225 (D) $182 (E) $189
Answer: C
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has five times as many candies as Tina has. Rebecca has how many candies initially? Answer Choice: (A) 36 (B) 48 (C) 54 (D) 36 (E) 60
Answer: D
There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure m in inches of the width of the foil covered prism? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 9 (E) 10
Answer: E
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 09 (B) 10 (C) 05 (D) 02 (E) 06
Answer: B
Suppose 12 points lie on a circle. How many cyclic quadrilaterals can be made by using these points? Answer Choice: (A) 440 (B) 454 (C) 495 (D) 486 (E) None
Answer: C
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 277 (B) 888 (C) 228 (D) 860 (E) 911
Answer: D
A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Answer Choice: (A) 150 (B) 887 (C) 167 (D) 197 (E) 230
Answer: E
The total monthly income of four men and two women is 46,000. If every woman earns 500 more than a man then what is the monthly income of a woman? Answer Choice: (A) 7,500 (B) 8,000 (C) 9,000 (D) 6,500 (E) None of these
Answer: B
A sun is divided among X, Y and Z in such a way that for each three rupees X gets, Y gets two rupees and Z gets 80 paisa. If the share of Y is RS. 55, what is the total amount of X and Y? Answer Choice: (A) 120 (B) 124.5 (C) 104.5 (D) 114.5 (E) 100
Answer: C
The grade point average of one third of the classroom is 30; the grade point average of the rest is 33. What is the grade point average of the whole class? Answer Choice: (A) 44 (B) 41 (C) 38 (D) 35 (E) 32
Answer: E
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 8 seconds, the speed of each train (in km/hr) is Answer Choice: (A) 42 (B) 36 (C) 28 (D) 20 (E) 54
Answer: E
A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 50% at 30% profit. Find his % profit on total. Answer Choice: (A) 23% (B) 25% (C) 26% (D) 28% (E) 35%
Answer: A
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 15 a.m (B) 10 a.m (C) 12 a.m (D) 02 a.m (E) 05 a.m
Answer: B
two branch of tree bird sit in way if one bird of the first branch goes to second branch there ratio become equal and if bird from second branch goes to first branch ratio become double than first. what are there ratio in sitting ? Answer Choice: (A) 7:5 (B) 6:5 (C) 8:5 (D) 5:7 (E) 5:8
Answer: A
The value of x.320 Ã· 2 Ã· 3 = X Answer Choice: (A) 53.33 (B) 46.33 (C) 15.36 (D) 15.45 (E) 15.48
Answer: A
In a race with 30 runners where 3 trophies will be given to the top 5 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done? Answer Choice: (A) 5^3 ways (B) 8^9 ways (C) 7^8 ways (D) 8^7 ways (E) 8^6 ways
Answer: A
How many keyboards do you need if you have to place 1024 keys into keyboards that each hold 32 keys? Answer Choice: (A) A)28 (B) B)30 (C) C)32 (D) D)34 (E) E)None of the above
Answer: C
In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction R of all babies born who were NOT part of a set of twins or triplets? Answer Choice: (A) z - 2x - 3y (B) (2x+3y)/z (C) (x+y)/z (D) 1 - (2x+3y)/z (E) 1 - (x+y)/z
Answer: D
What positive number, when squared, is equal to the cube of the positive square root of 16? Answer Choice: (A) 64 (B) 32 (C) 8 (D) 4 (E) 2
Answer: C
0.002 x 0.5 = ? Answer Choice: (A) 0.1 (B) 0.0001 (C) 0.01 (D) 1.0 (E) 0.001
Answer: E
How many different values of positive integer x, for which |x+6|<x, are there? Answer Choice: (A) 0 (B) 2 (C) 3 (D) 8 (E) 16
Answer: D
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike? Answer Choice: (A) 46.5 kg (B) 54 kg (C) 65 kg (D) 66.5 kg (E) 76.5 kg
Answer: D
A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 120 kg. What is the maximum weight of the crates on a single trip? Answer Choice: (A) 1250 (B) 625 (C) 600 (D) 7500 (E) 375
Answer: C
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Answer Choice: (A) 81:121 (B) 81:126 (C) 81:189 (D) 81:176 (E) 81:117
Answer: A
If 0 < m < 1 < n< 6, which of the following must be less than 1? I.m/n II. mn III. n - m Answer Choice: (A) I only (B) III only (C) II,III only (D) II only (E) I,II only
Answer: A
A and B undertake to do a piece of work for $500. A alone can do it in 5days while B alone can do it in 10days. With the help of C, they finish it in 2days. Find the share of C? Answer Choice: (A) $200 (B) $150 (C) $300 (D) $25 (E) $100
Answer: A
Light glows for every 13 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am. Answer Choice: (A) 380 times (B) 381 times (C) 382 times (D) 392 times (E) 482 times
Answer: C
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters? Answer Choice: (A) 240 meters (B) 360 meters (C) 420 meters (D) 600 meters (E) Cannot be determined
Answer: A
120 is what percent of 40?
. Answer Choice: (A) 0.2% (B) 2% (C) 5% (D) 300% (E) 500%
Answer: D
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?
I. c < t < h
II. 0 < t < h
III. (c/2) < t < (h/2) Answer Choice: (A) a) I only (B) b) II only (C) c) III only (D) d) I and II (E) e) II and III
Answer: E
The average age of a group of 10 students was 20. The average age increased by 3 years when two new students joined the group. What is the average age of the two new students who joined the group? Answer Choice: (A) 22 years (B) 30 years (C) 38 years (D) 44 years (E) None of these
Answer: C
If x and y are positive integers, Choose which of the following CANNOT be the greatest common divisor of 35x and 20y? Answer Choice: (A) 5 (B) 5(x-y) (C) 10x (D) 20y (E) 35x
Answer: C
An amount of Rs.1638 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C? Answer Choice: (A) 386 (B) 378 (C) 396 (D) 395 (E) 394
Answer: B
Calculate the dividend from Caleb's stock, if Caleb he invested Rs. 2500 at 79 to obtain an income of Rs. 200. Answer Choice: (A) 6.32 (B) 5.32 (C) 7.32 (D) 2.32 (E) 1.32
Answer: A
X does a work in 40 days. Y does the same work in 60 days. In how many days they together will do the same work? Answer Choice: (A) 10 (B) 12 (C) 24 (D) 30 (E) 15
Answer: C
Eighteen years ago,a father was three times as old as his son.Now the father is only twice as old as his son.Then the sum of the present ages of the son and the father is : Answer Choice: (A) 54 (B) 72 (C) 105 (D) 108 (E) None of these
Answer: D
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) 18% (B) 19% (C) 12% (D) 32% (E) 17%
Answer: C
12 men can complete a piece of work in 30 days. In how many days can 10 men complete that piece of work? Answer Choice: (A) 23 (B) 27 (C) 36 (D) 27 (E) 11
Answer: C
If m is an integer such that (-2)^2m=2^(12-m) then m=? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present? Answer Choice: (A) 50 (B) 40 (C) 20 (D) 30 (E) 10
Answer: B
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 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: A
A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 65 years, the average age of the parents is 36 years, and the average age of the grandchildren is 5 years. What is the average age (in years) of the family? Answer Choice: (A) 31 (B) 32 (C) 33 (D) 34 (E) 35
Answer: A
What is 992*992? Answer Choice: (A)  974,169 (B)  974,219 (C)  984,064 (D)  985,219 (E)  985,369
Answer: C
A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.40 per bag, and 25-pound bags $32.25	per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy? Answer Choice: (A) $94.03 (B) $96.75 (C) $98.75 (D) $102.07 (E) $105.3
Answer: C
If the 15th day of a month is three days earlier than Saturday, What day will it be on the 24th day of the month? Answer Choice: (A) Saturday (B) Monday (C) Sunday (D) Wednesday (E) Friday
Answer: E
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? Answer Choice: (A) 120 (B) 775 (C) 555 (D) 288 (E) 278
Answer: A
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: Answer Choice: (A) Rs. 650 (B) Rs. 690 (C) Rs. 698 (D) Rs. 700 (E) Rs. 720
Answer: C
An woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in a opposite direction, takes 3 seconds to pass him. If the goods train is 140 m long, find its speed. Answer Choice: (A) 141 (B) 142 (C) 143 (D) 144 (E) 145
Answer: C
Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P. Answer Choice: (A) 62% (B) 50% (C) 75% (D) 66% (E) 65%
Answer: A
Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16? Answer Choice: (A) 5 (B) 8 (C) 7 (D) 6 (E) 9
Answer: D
A candidate who gets 20% of the marks fails by 40 marks. But another candidate who gets 30% marks gets 20 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) 160 Marks (E) 827 Marks
Answer: D
Find how many positive integers less than 10,000 are there such thatthe sum of the digits of the no. is divisible by 3? Answer Choice: (A) 2468 (B) 2789 (C) 2987 (D) 3334 (E) 3568
Answer: D
A certain school implemented a reading program for its students, with the goal of getting each student to read 5 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year? Answer Choice: (A) 20cs (B) cs/2 (C) 60cs (D) (2cs)/12 (E) (24c)/s
Answer: C
Which of the following is a multiple of 6!-120? Answer Choice: (A) 5!+80 (B) 6!+320 (C) 5!+380 (D) 5!+480 (E) 4!+24
Answer: D
A chef cuts a watermelon along its horizontal diameter once and then along its vertical diameter twice at right angle to each other. A slice is removed (other pieces remains intact). What will be the total surface area of the remaining portion? Answer Choice: (A) 4*pi*r^2 (B) 4*pi*r^3 (C) 4*pi*r^4 (D) 4*pi*r^5 (E) 4*pi*r^6
Answer: A
If m = 3^n, what is the greatest value of n for which m is a factor of 28! Answer Choice: (A) 13 (B) 10 (C) 12 (D) 14 (E) 16
Answer: A
How many integers between 1000 and 10000 have
no digits other than 4, 5 or 6? Answer Choice: (A) 91 (B) 51 (C) 81 (D) 71 (E) 61
Answer: C