niryuu/sni-each-converted huggingface dataset:
Problem: the speed of a car increases by 2 kms after every one hour. if the distance travelling in the first one hour was 45 kms. what was the total distance traveled in 12 hours ?
Options: a. 252 kms, b. 152 kms, c. 672 kms, d. 752 kms, e. 152 kms
Output: c
Problem: n denotes the number obtained when n is rounded to the nearest tenth. for example 4.31 = 4.3 0.089 - 1.135 =
Options: a. 1.05, b. 1.04, c. - 1.05, d. - 1.0, e. - 0.1
Output: d
Problem: if x, y, and z are positive real numbers such that x + y - z = 50, y - z + x = 60, and z - x + y = 80, then find the z value ?
Options: a. 10, b. 20, c. 5, d. 15, e. 25
Output: c
Problem: initially, the men and women in a room were in the ratio of 4: 5. then, 2 men entered the room and 3 women left the room. then, the number of women doubled. now there are 14 men in the room. how many w women are currently in the room ?
Options: a. 12, b. 14, c. 15, d. 24, e. 36
Output: d
Problem: 12.5 * 3.2 * 7.8 = ?
Options: a. 312, b. 435, c. 224, d. 646, e. 742
Output: a
Problem: a certain protective additive increases from 30 days to 45 days the time between required maintenance checks on an industrial vehicle. by what percent is the time between maintenance checks increased by using the additive ?
Options: a. 25 %, b. 33 1 / 3 %, c. 50 %, d. 66 2 / 3 %, e. 75 %
Output: c
Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1,220, what was the total number of pairs of contact lenses that she sold ?
Options: a. 9, b. 13, c. 15, d. 17, e. 19
Output: a
Problem: a bus trip of 660 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour. what was the average speed v, in miles per hour, for the trip ?
Options: a. 40, b. 45, c. 50, d. 55, e. 60
Output: d
Problem: a man can row downstream at 35 kmph and upstream at 25 kmph. find the speed of the man in still water and the speed of stream respectively ?
Options: a. 35, 3, b. 25, 5, c. 35, 4, d. 5, 30, e. 30, 5
Output: e
Problem: in an examination, 300 students appeared. out of these students; 30 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed; find the number of students who just passed.
Options: a. 33, b. 37, c. 54, d. 99, e. 48
Output: e
Problem: if two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Options: a. 1 / 9, b. 1 / 2, c. 1 / 1, d. 1 / 5, e. 1 / 8
Output: b
Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 45 only. men â € ™ s wages are ?
Options: a. 6 rs, b. 7 rs, c. 8 rs, d. 4 rs, e. 3 rs
Output: e
Problem: one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill the tank in 34 minutes, then the slower pipe alone will be able to fill the tank in
Options: a. 144 mins, b. 140 mins, c. 136 mins, d. 132 minw, e. none of these
Output: c
Problem: two dice are rolled. what is the probability that the sum on the top face of both the dice will be greater than 9 ?
Options: a. 3 / 8, b. 2 / 3, c. 1 / 2, d. 1 / 3, e. 1 / 6
Output: e
Problem: let a be the event that a randomly selected two digit number is divisible by 3 and let b be the event that a randomly selected two digit number is divisible by 10. what is p ( a and b. ?
Options: a. 1 / 30, b. 1 / 15, c. 1 / 5, d. 1 / 3, e. 1 / 2
Output: a
Problem: if x is 12 percent greater than 80, then x =
Options: a. 89.6, b. 91.0, c. 88.0, d. 70.9, e. 71.2
Output: a
Problem: a and b complete a work in 6 days. a alone can do it in 8 days. if both together can do the work in how many days ?
Options: a. 3.75 days, b. 3.43 days, c. 2.99 days, d. 2.98 days, e. 2.44 days
Output: b
Problem: the avg weight of a, b & c is 84 kg. if d joins the group, the avg weight of the group becomes 80 kg. if another man e who weights is 8 kg more than d replaces a, then the avgof b, c, d & e becomes 79 kg. what is the weight of a ?
Options: a. 25, b. 35, c. 75, d. 80, e. 90
Output: d
Problem: 130 kg of an alloy a is mixed with 160 kg of alloy b. if alloy a has lead and tin in the ratio 2: 3 and alloy b has tin and copper in the ratio 3: 4, then the amount of tin in the new alloy is ?
Options: a. 140.6 kg, b. 145.3 kg, c. 146.5 kg, d. 110.8 kg, e. 114 kg
Output: c
Problem: if each side of a square is increased by 325 % in length, find the percentage change in its area ?
Options: a. 54 %, b. 957 %, c. 956.25 %, d. 958.25 %, e. 959.50 %
Output: c
Problem: martin bought 10 concert tickets, some at the full price of $ 2.00 per ticket, and some at a discounted price of $ 1.60 per ticket. if he spent a total of $ 18.80, how many discounted tickets did he buy ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
Output: a
Problem: a can do a piece of work in 10 days and b can do it in 15 days and c can do it 20 days. they started the work together and a leaves after 5 days and b leaves after 3 days from the beginning. how long will work lost ?
Options: a. 2, b. 4, c. 5, d. 6, e. 7
Output: d
Problem: at the end of year x, automobile installment credit accounted for 35 % of all outstanding consumer installment credit. at that time automobile finance companies extended $ 40 billion of credit, or 1 / 3 of the automobile installment credit. how many billion dollars of consumer installment credit was outstanding at that time ?
Options: a. 120, b. 300, c. 401.36, d. 350.15, e. 342.86
Output: e
Problem: 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 :
Options: a. a. 27, b. b. 98, c. c. 34, d. d. 35, e. e. 62
Output: a
Problem: the length of the bridge, which a train 130 metres long and travelling at 54 km / hr can cross in 30 seconds, is :
Options: a. 200 m, b. 225 m, c. 320 m, d. 250 m, e. 240 m
Output: c
Problem: two kinds of vodka are mixed in the ratio 1: 2 and 2: 1 and they are sold fetching the profit 10 % and 40 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
Options: a. 18 %, b. 20 %, c. 21 %, d. 40 %, e. can not be determined
Output: d
Problem: what is 3 2 / 3 - 2 1 / 4 divided by 6 / 7 - 2 / 5 ?
Options: a. 17 / 36, b. 36 / 17, c. 17 / 64, d. 15 / 4, e. 14 / 4
Output: c
Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the youngest child ?
Options: a. 4 year, b. 8 year, c. 10 year, d. none of these, e. 9 year
Output: a
Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking. the swiss chocolate cost $ 2.5 per pound, and german chocolate cost $ 1.5 per pound. if the total the she spent on chocolate was $ 30 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased ?
Options: a. 7, b. 18, c. 10, d. 12, e. 11
Output: b
Problem: the total age of a and b is 16 years more than the total age of b and c. c is how many year younger than
Options: a. 14 years, b. 12 years, c. 56 years, d. 16 years, e. 55 years
Output: d
Problem: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 ° is ?
Options: ['a. 35 m 2', 'b. 36 m 2', 'c. 37 m 2', 'd. 38 m 2', 'e. 40 m 2']
Output: c
Problem: find large number from below question the difference of two numbers is 1360. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Options: a. 1254, b. 1376, c. 1456, d. 1555, e. 1629
Output: e
Problem: solve the equation 2 – x = 2 b – 2 ax, where a and b are real parameters. find for which values of a the equation has for solution a natural number, if b = 7
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: b
Problem: in a caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. if the total number of feet be 224 more than the number of heads, find the number of keepers.
Options: a. 25, b. 20, c. 15, d. 13, e. 14
Output: c
Problem: a motorcyclist goes from bombay to pune, a distance of 160 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car ?
Options: a. 1: 2, b. 2: 5, c. 1: 4, d. 1: 1, e. 1: 6
Output: b
Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 40 % ?
Options: a. 95 %, b. 90 %, c. 85 %, d. 96 %, e. 25 %
Output: d
Problem: how many shots of 1 cm radius can be prepared from a sphere of 5 cm radius ?
Options: a. 33, b. 88, c. 27, d. 125, e. 199
Output: d
Problem: in a village there are 150 men and 90 women in present time. if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2, and in every year men are reduces 10 %. what is population of after 2 year.
Options: a. 140, b. 141, c. 142, d. 143, e. 144
Output: b
Problem: a train 124 m long running at 68 kmph crosses a platform in 19 sec. what is the length of the platform ?
Options: a. 338, b. 234, c. 240, d. 881, e. 271
Output: b
Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 11 and 12. what is the largest number.
Options: a. 462, b. 450, c. 480, d. 504, e. 555
Output: d
Problem: given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] + 8 = f ( 3 x – 6 )
Options: a. 0, b. 4, c. 6, d. 7, e. 13
Output: d
Problem: sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 468 per week. how much does she earn in dollars per hour ?
Options: a. 2, b. 8, c. 9, d. 11, e. 13
Output: e
Problem: a trader bought a car at 20 % discount on its original price. he sold it at a 50 % increase on the price he bought it. what percent of profit did he make on the original price ?
Options: a. 17 %, b. 72 %, c. 20 %, d. 82 %, e. 16 %
Output: c
Problem: we invested a total of $ 1,000. we invested one part of the money at 3 % and the rest of the money at 6 %. the total investment with interest at the end of the year was $ 1, 052.50. how much money did we invest at 3 % ?
Options: a. $ 160, b. $ 190, c. $ 220, d. $ 250, e. $ 280
Output: d
Problem: | x + 3 | – | 4 - x | = | 9 + x | how many solutions will this equation have ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: b
Problem: the area of a rectangular plot is 460460 square metres. if the length is 15 % 15 % more than the breadth, what is the breadth of the plot ?
Options: a. 14 metres, b. 20 metres, c. 18 metres, d. 12 metres, e. 16 metres
Output: b
Problem: two pipes a and b can separately fill a tank in 16 and 18 minutes respectively. a third pipe c can drain off 45 liters of water per minute. if all the pipes are opened, the tank can be filled in 18 minutes. what is the capacity of the tank ?
Options: a. 590 liters, b. 720 liters, c. 740 liters, d. 860 liters, e. 620 liters
Output: b
Problem: 17 balls are numbered 1 to 17. a ball is drawn and then another ball is drawn without replacement. what is the probability that both balls have even numbers ?
Options: a. 1 / 7, b. 3 / 14, c. 5 / 23, d. 7 / 34, e. 9 / 41
Output: d
Problem: aarti can do a piece of work in 9 days. in how many days will she complete three time of work of same type ?
Options: a. 6 days, b. 18 days, c. 21 days, d. 27 days, e. 13 days
Output: d
Problem: what is the value of n if the sum of the consecutive odd intergers r from 1 to n equals 169 ?
Options: a. 47, b. 25, c. 37, d. 33, e. 29
Output: b
Problem: a certain lab experiments with white and brown mice only. in one experiment, 2 / 3 of the mice are white. if there are 7 brown mice in the experiment, how many mice in total are in the experiment ?
Options: a. 39, b. 33, c. 26, d. 21, e. 10
Output: d
Problem: there are 7 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Options: a. 40, b. 49, c. 41, d. 56, e. 42
Output: e
Problem: what is the lowest positive integer that is divisible by 4 through 6, inclusive ?
Options: a. 120, b. 48, c. 82, d. 76, e. 160
Output: a
Problem: when a stone is dropped from a building 200 m high, its speed is proportional to the time elapsed after dropping. the distance traveled is proportional to the square of the time elapsed. after 1 second the speed of the train was 10 m / sec and it was 190 m above the ground. when its speed is 25 m / sec, what would be its distance from the ground ?
Options: a. 140 m, b. 137.5 m, c. 125.75 m, d. 142.5 m, e. 152.5 m
Output: b
Problem: if 2 x = 3 y = 10, then 15 xy = ?
Options: a. 1,200, b. 200, c. 120, d. 40, e. 250
Output: e
Problem: two goods trains each 500 m long are running in opposite directions on parallel tracks. their speeds are 30 km / hr and 90 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one ?
Options: a. 48, b. 30, c. 26, d. 23, e. 12
Output: b
Problem: the ratio of three numbers is 5: 1: 4 and their sum is 1000. the last number of the three numbers is ?
Options: a. 24, b. 26, c. 27, d. 400, e. 30
Output: d
Problem: in a bag of small balls 1 / 4 are green, 1 / 8 are blue, 1 / 12 are yellow and the remaining 26 white. how many balls are blue ?
Options: a. 6, b. 5, c. 4, d. 3, e. 8
Output: a
Problem: a crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. the distance between the nest and the ditch is 250 meters. in one and a half hours, the crow manages to bring worms to its nest 15 times. what is the speed of the crow in kilometers per hour ?
Options: a. 1, b. 3, c. 4, d. 5, e. 6
Output: d
Problem: solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 15 percent alcohol by volume ?
Options: a. 50, b. 100, c. 150, d. 200, e. 250
Output: b
Problem: on a saturday night, each of the rooms at a certain motel was rented for either $ 40 or $ 60. if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40, then the total rent the motel charged for that night would have been reduced by 40 percent. what was the total rent the motel actually charged for that night ?
Options: a. $ 500, b. $ 800, c. $ 1,000, d. $ 1,600, e. $ 2,400
Output: a
Problem: the length of the rectangular field is double its width. inside the field there is square shaped pond 9 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field ?
Options: a. 54, b. 36, c. 75, d. 28, e. 11
Output: b
Problem: how much time will a train of length 380 m moving at a speed of 72 kmph take to cross another train of length 540 m, moving at 36 kmph in the same direction ?
Options: a. 50, b. 99, c. 88, d. 92, e. 12
Output: d
Problem: the area of a circle is increased by 800 %. by what percent has the radius of the circle increased ?
Options: a. 100 %, b. 400 %, c. 300 %, d. 600 %, e. 200 %
Output: e
Problem: adam borrowed some money at the rate of 6 % p. a. for the first two years, at the rate of 9 % p. a. for the next 3 years, and at the rate of 14 % p. a. for the period beyond 5 years. 1 £ he pays a total interest of rs. 11400 at the end of 9 years how much money did he borrow ?
Options: a. rs. 8000, b. rs. 09000, c. rs. 11000, d. rs. 10000, e. rs. 12000
Output: e
Problem: which number need to add to 859622 to get a number divisible by 456 ?
Options: a. 565771, b. 456578, c. 676885, d. 788090, e. 859622
Output: e
Problem: if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 50 more miles than he actually did. how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day ?
Options: a. 100, b. 120, c. 140, d. 150, e. 160
Output: a
Problem: in the x - y plane, there are 4 points ( 0,0 ), ( 0,4 ), ( 8,4 ), and ( 8,0 ). if these 4 points makes a rectangle, what is the probability that x + y < 4 ?
Options: a. 1 / 2, b. 1 / 3, c. 2 / 3, d. 1 / 4, e. 2 / 5
Output: d
Problem: harold and millicent are getting married and need to combine their already - full libraries. if harold, who has 1 / 2 as many books as millicent, brings 1 / 3 of his books to their new home, then millicent will have enough room to bring 1 / 5 of her books to their new home. what fraction of millicent ' s old library capacity is the new home ' s library capacity ?
Options: a. 1 / 2, b. 2 / 3, c. 3 / 4, d. 11 / 30, e. 5 / 6
Output: d
Problem: let the number which when multiplied by 16 is increased by 375.
Options: a. 14, b. 20, c. 26, d. 25, e. 30
Output: d
Problem: a can finish a work in 60 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in ?
Options: a. 10 days, b. 25 days, c. 6 days, d. 7 days, e. 8 days
Output: b
Problem: jill has 14 gallons of water stored in quart, half - gallon, and one gallon jars. she has equal numbers of each size jar holding the liquid. what is the total number of water filled jars ?
Options: a. 3, b. 6, c. 9, d. 12, e. 24
Output: e
Problem: a cricket player whose bowling average was 21.5 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.5. what will be the number of wickets taken by him till the last match ?
Options: a. 64, b. 72, c. 111, d. 721, e. 108
Output: c
Problem: 8 men, working 8 hours a day can complete a work in 18 days. how many hours a day must 12 men work to complete the same work in 12 days ?
Options: a. 6, b. 7, c. 8, d. 9, e. 10
Output: c
Problem: 1, 8, 27, 64, 125, 216, (.... )
Options: a. 354, b. 343, c. 245, d. 392, e. 400
Output: b
Problem: if 3 men or 4 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work ?
Options: a. 8 / 3, b. 6, c. 5, d. 4, e. 3
Output: a
Problem: 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 24 seconds, the speed of each train ( in km / hr ) is
Options: a. 18, b. 36, c. 28, d. 20, e. 24
Output: a
Problem: john has $ 1,600 at the beginning of his trip, after spending money, he still has exactly $ 600 less than he spent on the trip. how much money does john still have ?
Options: a. $ 200, b. $ 400, c. $ 600, d. $ 800, e. $ 500
Output: e
Problem: a, b and c started a business by investing rs. 800 / -, rs. 1000 / - and rs. 1200 / - respectively for two years. total profit is rs. 1000 / -. find the c ' s share ?
Options: a. rs. 600, b. rs. 500, c. rs. 400, d. rs. 800, e. rs. 900
Output: c
Problem: the speed of a car is 85 km in the first hour and 45 km in the second hour. what is the average speed of the car ?
Options: a. 72 kmph, b. 65 kmph, c. 30 kmph, d. 80 kmph, e. 82 kmph
Output: b
Problem: find the number which multiplied by 15 is increased by 196.
Options: a. 14, b. 20, c. 26, d. 28, e. 27
Output: a
Problem: the positive value of x that satisfies the equation ( 3 + 2 x ) ^ 5 = ( 1 + 3 x ) ^ 4 is between bunuel, can you please explain this one ?
Options: a. 0 and 0.5, b. 0.5 and 1, c. 1 and 1.5, d. 1.5 and 2, e. 2 and 2.5
Output: d
Problem: the h. c. f. of two numbers is 20 and the other two factors of their l. c. m. are 11 and 15. the larger of the two numbers is :
Options: a. 276, b. 300, c. 299, d. 322, e. 345
Output: b
Problem: two numbers are in the ratio of 1: 2. if 6 be added to both, their ratio changes to 3: 5. the greater number is
Options: a. 20, b. 24, c. 28, d. 32, e. 36
Output: b
Problem: carmen made a sculpture from small pieces of wood. the sculpture is 2 feet 10 inches tall. carmen places her sculpture on a base that is 10 inches tall. how tall are the sculpture andbase together ?
Options: a. 3.1 feet, b. 3.66 feet, c. 3.3 feet, d. 3.4 feet, e. 3.5 feet
Output: b
Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction w of the area of triangle abc is the area of triangle xyz ?
Options: a. 1 / 9, b. 1 / 8, c. 1 / 6, d. 1 / 5, e. 1 / 3
Output: a
Problem: the cash difference between the selling prices of an article at a profit of 4 % and 2 % is rs. 3. the ratio of the two selling prices is ?
Options: a. 52: 51, b. 52: 53, c. 52: 50, d. 22: 56, e. 52: 51
Output: a
Problem: two whole numbers whose sum is 100 can not be in the ratio
Options: a. 2: 23, b. 5: 45, c. 10: 10, d. 2: 6, e. 2: 3
Output: d
Problem: what least number must be added to 696, so that the sum is completely divisible by 20 ?
Options: a. 2, b. 4, c. 3, d. 5, e. 6
Output: b
Problem: line q has the equation 5 y – 3 x = 30. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ’ s exist ? ( note: intersections on one of the axes do not count. )
Options: a. 22, b. 33, c. 36, d. 41, e. 58
Output: a
Problem: in a certain warehouse, 30 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. if 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds ?
Options: a. 8, b. 64, c. 24, d. 102, e. 144
Output: c
Problem: a student took 5 papers in an examination, where the full marks were the same for each paper. his marks in these papers were in the proportion of 6: 7: 8: 9: 10. in all papers together, the candidate obtained 60 % of the total marks then, the number of papers in which he got more than 50 % marks is
Options: a. 1, b. 3, c. 4, d. 5, e. 7
Output: c
Problem: subtracting 5 % of a from a is equivalent to multiplying a by how much ?
Options: a. 0.95, b. 9.4, c. 0.094, d. 94, e. none
Output: a
Problem: a bag consists of 20 marbles, of which 5 are blue, 7 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 ?
Options: a. 3 / 4, b. 2 / 4, c. 1 / 4, d. 1 / 8, e. 1 / 16
Output: a
Problem: a trader bought a car at 20 % discount on its original price. he sold it at a 60 % increase on the price he bought it. what percent of profit did he make on the original price ?
Options: a. 28 %, b. 72 %, c. 12 %, d. 82 %, e. 16 %
Output: a
Problem: an aeroplane covers a certain distance at a speed of 150 kmph in 2 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :
Options: a. 1300 kmph, b. 160 kmph, c. 180 kmph, d. 1080 kmph, e. none
Output: c
Problem: what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 67 ?
Options: a. 4, b. 5, c. 6, d. 7, e. 8
Output: a
Problem: how many seconds will a 550 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?
Options: a. 12 sec, b. 30 sec, c. 33 sec, d. 16 sec, e. 18 sec
Output: c
Problem: jansi went out for shopping. she had in her handbag approximately rs. 15 / - in one rupee notes and 20 p. coins. when she returned she had as many one rupee notes as she originally had and as many 20 p. coins as she originally had one rupee notes. she actually came back with about one - third of what she had started out with. how much did she spend and exactly how much did she have with her when she started out ?
Options: a. 9.6, b. 10.6, c. 11.0, d. 9.4, e. 8.1
Output: a
Problem: at a certain organisation, the number of male members went up by 15 % in the year 2001 from year 2000, and the number of females members went down by 6 % in the same time period. if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000 ?
Options: a. 1: 2, b. 1: 3, c. 2: 3, d. 3: 2, e. 2: 1
Output: a
Problem: in a party every person shakes hands with every other person. if there were a total of 120 handshakes in the party then what is the number of persons present in the party ?
Options: a. 15, b. 16, c. 17, d. 18, e. 19
Output: b
Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 21 inches and the width of the wall is 28 inches, what is the length of the wall, in inches ?
Options: a. 21.5, b. 31.5, c. 41.5, d. 61.5, e. 71.5
Output: b
Problem: when positive integer x is divided by positive integer y, the remainder is 6. if x / y = 96.15, what is the value of y ?
Options: a. 96, b. 75, c. 40, d. 25, e. 12
Output: c
Problem: if the product of the integers w, x, y and z is 840, and if 1 < w < x < y < z, what is the value of w + z ?
Options: a. 10, b. 11, c. 16, d. 18, e. 21
Output: b
Problem: a sum of money is to be distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets 1000 more than d, what is b ’ s share ?
Options: a. 500, b. 1500, c. 2000, d. 1400, e. none of these
Output: c
Problem: in a certain apartment building, there are one - bedroom and two - bedroom apartments. the rental prices of the apartment depend on a number of factors, but on average, two - bedroom apartments have higher rental prices than do one - bedroom apartments. let r be the average rental price for all apartments in the building. if r is $ 5,600 higher than the average rental price for all one - bedroom apartments, and if the average rental price for all two - bedroom apartments is $ 10,400 higher that r, then what percentage of apartments in the building are two - bedroom apartments ?
Options: a. 26 %, b. 35 %, c. 39 %, d. 42 %, e. 52 %
Output: b
Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 276 games will be played during the tournament. find the number of participants.
Options: a. 20, b. 22, c. 24, d. 26, e. 28
Output: c
Problem: x starts a business with rs. 45000. y joins in the business after 3 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year ?
Options: a. 1: 2, b. 2: 1, c. 1: 3, d. 3: 1, e. 1: 1
Output: b
Problem: 3 friends had dinner at a restaurant. when the bill was received, akshitha paid 3 / 4 as much as veena paid and veena paid 1 / 2 as much as lasya paid. what fraction of the bill did veena pay ?
Options: a. 4 / 15, b. 3 / 12, c. 3 / 11, d. 3 / 10, e. 3 / 14
Output: a
Problem: a number x is 5 times another number y. the percentage that y is less than x is
Options: a. 12.5 %, b. 87.5 %, c. 80 %, d. 11 %, e. 1 %
Output: c
Problem: marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 30 %. what percent of the projected revenue was the actual revenue ?
Options: a. 50 %, b. 58 %, c. 62.5 %, d. 64 %, e. 75 %
Output: a
Problem: how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 9 m x 6 m x 22.5 cm ?
Options: a. 6400, b. 6410, c. 6440, d. 7200, e. 6800
Output: d
Problem: at a certain restaurant, the average ( arithmetic mean ) number of customers served for the past x days was 65. if the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x ?
Options: a. 1, b. 5, c. 9, d. 15, e. 30
Output: a
Problem: stacy has a 63 page history paper due in 7 days. how many pages per day would she have to write to finish on time ?
Options: a. 9, b. 8, c. 10, d. 8.5, e. 6
Output: a
Problem: the ages of patrick and michael are in the ratio of 3: 5 and that of michael and monica are in the ratio of 3: 5. if the sum of their ages is 148, what is the difference between the ages of patrick and monica ?
Options: a. 27, b. 48, c. 45, d. 72, e. 18
Output: b
Problem: you collect baseball cards. suppose you start out with 15. maria takes half of one more than the number of baseball cards you have. since you ' re nice, you give peter 1 baseball card. since his father makes baseball cards, paul decides to triple your baseball cards. how many baseball cards do you have at the end ?
Options: a. 17, b. 18, c. 19, d. 20, e. 21
Output: b
Problem: if the cost price of 18 articles is same as the selling price of 25 articles. find the gain or loss percentage ?
Options: a. 30 % gain, b. 28 % loss, c. 40 % gain, d. 40 % loss, e. 50 % loss
Output: b
Problem: evaluate 28 % of 450 + 45 % of 280
Options: a. 232, b. 242, c. 252, d. 262, e. 272
Output: c
Problem: xavier, yvonne, and zelda each try independently to solve a problem. if their individual probabilities for success are 1 / 4, 2 / 3 and 5 / 8, respectively, what is the probability that xavier and yvonne, but not zelda, will solve the problem ?
Options: a. 1 / 16, b. 7 / 8, c. 9 / 64, d. 5 / 64, e. 3 / 64
Output: a
Problem: in a certain lottery, the probability that a number between 1 and 15, inclusive, is drawn is 1 / 3. if the probability that a number 1 or larger is drawn is 2 / 3, what is the probability that a number less than or equal to 15 is drawn ?
Options: a. 2 / 3, b. 1 / 3, c. 1 / 4, d. 1 / 6, e. 2 / 5
Output: a
Problem: the distance from city a to city b is 120 miles. while driving from city a to city b, cara drives at a constant speed of 30 miles per hour. dan leaves city a 120 minutes after cara. what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?
Options: a. 42, b. 44, c. 60, d. 48, e. 50
Output: c
Problem: a student travels from his house to school at 12 km / hr and reaches school 2 hours late. the next day he travels 20 km / hr and reaches school 1 hour early. what is the distance between his house and the school ?
Options: a. 90, b. 100, c. 110, d. 120, e. 130
Output: a
Problem: if x is less than y by 25 % then y exceed x by :
Options: a. 33.33 %, b. 25 %, c. 75 %, d. 66.66 %, e. none of these
Output: a
Problem: a pharmaceutical company received $ 8 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?
Options: a. 8 %, b. 15 %, c. 45 %, d. 52 %, e. 79 %
Output: e
Problem: a square with sides of 15 units each. what would be the area of the square. consider a square as a combination of two right angled triangles.
Options: ['a. 100', 'b. 256', 'c. 225', 'd. 81', 'e. 144']
Output: c
Problem: a man is standing on a railway bridge which is 180 m long. he finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. find the length of the train and its speed
Options: a. 50 km, b. 52 km, c. 54 km, d. 56 km, e. 58 km
Output: c
Problem: how many digits are required to number a book containing 240 pages ?
Options: a. 756, b. 612, c. 492, d. 372, e. 250
Output: b
Problem: out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a gpa equal to or lower than 3.0. how many e applicants majored in political science and had a gpa higher than 3.0 ?
Options: a. 5, b. 10, c. 15, d. 25, e. 35
Output: a
Problem: george does 3 / 5 th of a piece of work in 9 days. he then calls in paul and they finish the work in 4 days. how long would paul take to do the work by himself ?
Options: a. 10, b. 20, c. 30, d. 40, e. 50
Output: c
Problem: in august, a cricket team that played 120 matches won 24 % of the games it played. after a continuous winning streak, this team raised its average to 52 %. how many matches did the team win to attain this average ?
Options: a. 40, b. 52, c. 68, d. 70, e. 98
Output: d
Problem: in a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. if a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured ?
Options: a. 7 / 12, b. 8 / 41, c. 39 / 68, d. 1 / 8, e. 41 / 91
Output: c
Problem: a ( 3, w ^ 3 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 - 1. what is the value of w ?
Options: a. 2., b. 4., c. 5., d. 6., e. 9.
Output: a
Problem: in x game of billiards, x can give y 20 points in 60 and he can give z 30 points in 60. how many points can y give z in x game of 120 ?
Options: a. 30, b. 20, c. 25, d. 40, e. 50
Output: a
Problem: a house wife saved $ 2.50 in buying an item on sale. if she spent $ 25 for the item, approximately how much percent she saved in the transaction ?
Options: a. 8 %, b. 9 %, c. 10 %, d. 11 %, e. 12 %
Output: b
Problem: after successive discounts of 20 %, 10 % and 5 % a certain good is sold for rs. 6700. find the actual price of the good.
Options: a. s. 6000, b. s. 9000, c. s. 10800, d. s. 9795, e. s. 9980
Output: d
Problem: a not - so - good clockmaker has four clocks on display in the window. clock # 1 loses 25 minutes every hour. clock # 2 gains 15 minutes every hour relative to clock # 1 ( i. e., as clock # 1 moves from 12: 00 to 1: 00, clock # 2 moves from 12: 00 to 1: 15 ). clock # 3 loses 20 minutes every hour relative to clock # 2. finally, clock # 4 gains 20 minutes every hour relative to clock # 3. if the clockmaker resets all four clocks to the correct time at 12 noon, what time will clock # 4 display after 6 actual hours ( when it is actually 6: 00 pm that same day ) ?
Options: a. 5: 00, b. 5: 34, c. 5: 42, d. 6: 00, e. 6: 24
Output: c
Problem: in a factory, an average of 60 tv ' s are produced per day for the fist 25 days of the months. a few workers fell ill for the next 5 days reducing the daily avg for the month to 58 sets / day. the average production per day for day last 5 days is ?
Options: a. 20, b. 36, c. 48, d. 50, e. 59
Output: c
Problem: a collection of books went on sale, and 2 / 3 of them were sold for $ 4.25 each. if none of the 30 remaining books were sold, what was the total amount received for the books that were sold ?
Options: a. $ 260, b. $ 255, c. $ 285, d. $ 290, e. $ 275
Output: b
Problem: the ratio between the present ages of a and b is 5: 3 respectively. the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1: 1. what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ?
Options: a. 3: 9, b. 3: 6, c. 3: 1, d. 3: 4, e. 3: 2
Output: c
Problem: when jessica withdrew $ 200 from her bank account, her account balance decreased by 2 / 5. if she deposits an amount equal to 2 / 3 of the remaining balance, what will be the final balance in her bank account ?
Options: a. 300, b. 375, c. 400, d. 500, e. 575
Output: d
Problem: in n is a positive integer less than 200, and 14 n / 60 is an integer, then n has how many different positive prime factors s ?
Options: a. 2, b. 3, c. 5, d. 6, e. 8
Output: b
Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1. a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely. if each side of t 1 is 40 cm, find the sum of the perimeters of all the triangles.
Options: ['a. 180 cm', 'b. 220 cm', 'c. 240 cm', 'd. 270 cm', 'e. 300 cm']
Output: c
Problem: two pipes a and b can fill a tank in 10 hours and 20 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank ?
Options: a. 10 / 3, b. 20 / 3, c. 15 / 7, d. 11 / 17, e. 1 / 4
Output: b
Problem: the number obtained by interchanging the digits of a two - digit number is less than the original number by 36. the sum of the digits of the number is 8. what is the original number ?
Options: a. 71, b. 62, c. 53, d. 35, e. 45
Output: b
Problem: in one alloy there is 10 % chromium while in another alloy it is 6 %. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.
Options: a. 7.2 %, b. 9 %, c. 9.2 %, d. 8.6 %, e. 8.4 %
Output: a
Problem: the food in a camp lasts for 10 men for 20 days. if 30 more men join, how many days will the food last ?
Options: a. 8 days, b. 4 days, c. 5 days, d. 10 days, e. 17 days
Output: c
Problem: surface area of a sphere is 2464 cm 2. if its radius is doubled, then the surface area of the new sphere will be
Options: ['a. 4920 cm 2', 'b. 4727 cm 2', 'c. 9856 cm 2', 'd. 19712 cm 2', 'e. none']
Output: c
Problem: how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ?
Options: a. 15.8 sec, b. 14.9 sec, c. 12.4 sec, d. 10.8 sec, e. 11.8 sec
Output: d
Problem: - 74 x 29 + 265 = ?
Options: a. 2436, b. - 1881, c. - 2801, d. - 2071, e. none of them
Output: b
Problem: the population of 6 villages is 803, 9001100, 1023945 and 980. what is the population of the seventh village if the average population of the 7 villages is 1000 ?
Options: a. 1134, b. 1238, c. 1348, d. 1500, e. 1249
Output: e
Problem: if 625 ^ ( - x ) + 25 ^ ( - 2 x ) + 5 ^ ( - 4 x ) = 14, what is the value of x ?
Options: a. - 4, b. - 1 / 4, c. 0, d. 1 / 4, e. 4
Output: d
Problem: the radius of the wheel of a bus is 70 cms and the speed of the bus is 66 km / h, then the r. p. m. ( revolutions per minutes ) of the wheel is
Options: a. 200, b. 250, c. 300, d. 330, e. none of these
Output: b
Problem: harry started a 4 - mile hike with a full 6 - cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. if the canteen leaked at the rate of 1 cup per hour and harry drank 1 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hike ?
Options: a. 1 / 3, b. 2 / 3, c. 3 / 4, d. 5 / 4, e. 4 / 3
Output: b
Problem: in a room filled with 7 people, 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings ?
Options: a. 5 / 21, b. 3 / 7, c. 4 / 7, d. 5 / 7, e. 16 / 21
Output: b
Problem: two taps a and b can fill a cistern in 12 minutes and 18 minutes respectively. they are turned on at the same time. if the tap a is turned off after 4 minutes, how long will tap b take to fill the rest of the cistern ?
Options: a. 8 min., b. 9 min., c. 10 min., d. 7 min., e. none of these
Output: a
Problem: how many digits are in ( 8 × 10 ^ 18 ) ( 10 × 10 ^ 10 ) ?
Options: a. 24, b. 25, c. 26, d. 27, e. 30
Output: e
Problem: jack and christina are standing 240 feet apart on a level surface. their dog, lindy, is standing next to christina. at the same time, they all begin moving toward each other. jack walks in a straight line toward christina at a constant speed of 3 feet per second and christina walks in a straight line toward jack at a constant speed of 3 feet per second. lindy runs at a constant speed of 10 feet per second from christina to jack, back to christina, back to jack, and so forth. what is the total distance, in feet, that lindy has traveled when the three meet at one place ?
Options: a. 340, b. 360, c. 380, d. 400, e. 420
Output: d
Problem: the speed of a boat in still water is 60 kmph and the speed of the current is 17 kmph. find the speed downstream and upstream ?
Options: a. 77,43 kmph, b. 80,80 kmph, c. 80,42 kmph, d. 80,40 kmph, e. 83,40 kmph
Output: a
Problem: a solution of 70 litres contains oil and water in the ratio 9: x. if 6 litres of water is added to the solution, the ratio becomes 6: 4, find the value of x ?
Options: a. 6, b. 8.5, c. 9, d. 6.5, e. 5
Output: e
Problem: if an article is sold at 18 % profit instead of 11 % profit, then the profit would be $ 56 more. what is the cost price ?
Options: a. $ 600, b. $ 800, c. $ 1000, d. $ 1200, e. $ 1400
Output: b
Problem: if a, b, c, d, e and f are integers and ( ab + cdef ) < 0, then what is the maximum number d of integers that can be negative ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: d
Problem: a jar full of whisky contains 40 % alcohol. a part of this whisky is replaced by another containg 17 % alcohol and now the percentage of alcohol was found to be 26 %. what quantity of whisky is replaced ?
Options: a. 1 / 3, b. 2 / 3, c. 2 / 5, d. 3 / 5, e. 4 / 5
Output: c
Problem: the length of the rectangular field is double its width. inside the field there is square shaped pond 6 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field ?
Options: a. 24, b. 32, c. 75, d. 28, e. 11
Output: a
Problem: the area of a triangle is with base 2 m and height 3 m ?
Options: a. 11, b. 10, c. 787, d. 3, e. 12
Output: d
Problem: if the price of a certain computer increased 30 percent from c dollars to 351 dollars, then 2 c =
Options: a. 540, b. 570, c. 619, d. 649, e. 700
Output: a
Problem: the purchase price of an article is $ 48. in order to include 5 % of cost for overhead and to provide $ 12 of net profit, the markup should be
Options: a. 15 %, b. 25 %, c. 30 %, d. 40 %, e. 45 %
Output: c
Problem: a store reduced the price of all items in the store by 12 % on the first day and by another 10 % on the second day. the price of items on the second day was what percent of the price before the first reduction took place ?
Options: a. 80.0, b. 79.2, c. 81.0, d. 81.1, e. 81.9
Output: b
Problem: darcy lives 1.5 miles from work. she can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. if she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. if it takes darcy a total of 10 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x ?
Options: a. 10.5, b. 15, c. 15.5, d. 30, e. 60
Output: c
Problem: when the smallest of 3 consecutive odd integers is added to 4 times the largest, it produces a result 732 more than 4 times the middle integer. find the numbers ?
Options: a. 732, b. 678, c. 698, d. 710, e. 729
Output: a
Problem: in a particular city there are 100 homes numbered from 1, 23,.., 100. the city was build by a builder from chennai. there was 4 to 5 shops in the town which was build by a builder from mumbai. the 2 nd builder can build in 1 ½ times as compared to time by 1 st builder. the 2 nd builder builds in 15 days, then how many 2 ' s are used by the builder from chennai in numbering the 100 homes ?
Options: a. 17, b. 18, c. 19, d. 20, e. 21
Output: d
Problem: p and q can complete a work in 40 days and 24 days respectively. p alone started the work and q joined him after 8 days till the completion of the work. how long did the work last ?
Options: a. 5 days, b. 10 days, c. 14 days, d. 20 days, e. 26 days
Output: d
Problem: joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. during the first week, he uses 1 / 4 of all the paint. during the second week, he uses 1 / 2 of the remaining paint. how many gallons of paint has joe used ?
Options: a. 18, b. 225, c. 175, d. 216, e. 250
Output: b
Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 5 per unit. further, the manufacturer has costs of $ 16500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?
Options: a. $ 28, b. $ 82, c. $ 110, d. $ 138, e. $ 195
Output: e
Problem: set s consists of integers { 7, 8, 10, 12, 13 }. if integer n is included in the set, the average ( arithmetic mean ) of set s will increase by 10 %. what is the value of integer n ?
Options: a. 10, b. 12, c. 16, d. 22, e. 24
Output: c
Problem: the average runs scored by a batsman in 30 matches is 50. in the next 15 matches the batsman scored an average of 26 runs. find his average in all the 45 matches ?
Options: a. 31, b. 42, c. 29, d. 97, e. 27
Output: b
Problem: the owner of a furniture shop charges his customer 60 % more than the cost price. if a customer paid rs. 2000 for a computer table, then what was the cost price of the computer table ?
Options: a. 2789, b. 2772, c. 1250, d. 6725, e. 2099
Output: c
Problem: a shipment of 240 smartphones contains 84 that are defective. if a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective ?
Options: a. 1 / 250, b. 9 / 74, c. 1 / 11, d. 1 / 9, e. 1 / 3
Output: b
Problem: set a { 3, 3,3, 4,5, 5,5 } has a standard deviation of 1. what will the standard deviation be if every number in the set is multiplied by 8 ?
Options: a. a. 1, b. b. 2, c. c. 4, d. d. 8, e. e. 16
Output: d
Problem: the length of a room is 5.5 m and width is 3.75 m. what is the cost of paying the floor by slabs at the rate of $ 600 per sq. metre.
Options: a. $ 12375, b. $ 13575, c. $ 16575, d. $ 14575, e. $ 18575
Output: a
Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ?
Options: a. 200, b. 10 ^ 100, c. 10 ^ 102, d. 100 ^ 100, e. 1000 ^ 10
Output: c
Problem: a bag contains 30 red jellybeans and 30 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue ?
Options: a. 9 / 100, b. 2 / 19, c. 1 / 8, d. 1 / 20, e. 3 / 10
Output: d
Problem: what is the sum of the multiples of 4 between 63 and 151 inclusive ?
Options: a. 2240, b. 2250, c. 2310, d. 2330, e. 2332
Output: e
Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 60 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit ?
Options: a. 10.5 %, b. 12.5 %, c. 15 %, d. 22 %, e. 25 %
Output: e
Problem: if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers ?
Options: a. 4: 9, b. 4: 3, c. 3: 7, d. 2: 5, e. 1: 6
Output: a
Problem: car dealership x, the total profit from sales increased by 12 percent over the previous years, while the number of cars sold decreased by 12 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.
Options: a. 18 %, b. 20 %, c. 22 %, d. 27.27 %, e. 35 %
Output: d
Problem: a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 46.24, the number of the member is the group is :
Options: a. 57, b. 68, c. 77, d. 87, e. 97
Output: b
Problem: arnold and danny are two twin brothers that are celebrating their birthday. the product of their ages today is smaller by 15 from the product of their ages a year from today. what is their age today ?
Options: a. 2., b. 4., c. 5., d. 7., e. 9.
Output: d
Problem: for how many unique pairs of nonnegative integers { a, b } is the equation a ^ 2 - b ^ 2 = 99 true ?
Options: a. 1, b. 3, c. 5, d. 7, e. 9
Output: b
Problem: how many positive integers less than 100 are there such that they are multiples of 8 or multiples of 7 but not both ?
Options: a. 21, b. 22, c. 25, d. 24, e. 31
Output: d
Problem: when x is multiplied by 2, the result is 19 more than the result of subtracting x from 26. what is the value of x ?
Options: a. - 4, b. - 2, c. 15, d. 13, e. 22
Output: c
Problem: if - 3 x + 5 y = 48 and 3 x - 2 y = 6, what is the product of x and y ?
Options: a. 252, b. 428, c. 464., d. 200, e. 642
Output: a
Problem: a can give b 60 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race ?
Options: a. 148.94, b. 148.13, c. 148.22, d. 111.0, e. 111.12
Output: a
Problem: kim finds a 6 - meter tree branch and marks it off in thirds and fifths. she then breaks the branch along all the markings and removes one piece of every distinct length. what fraction of the original branch remains ?
Options: a. 7 / 5, b. 1 / 2, c. 8 / 15, d. 2 / 5, e. 3 / 5
Output: e
Problem: how many prime numbers between 1 and 100 are factors of 143 ?
Options: a. 6, b. 5, c. 4, d. 2, e. 3
Output: d