index int64 0 29.8k | Problem stringlengths 5 806 | options_list sequencelengths 4 4 | correct stringclasses 4
values |
|---|---|---|---|
0 | the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ? | [
"rs . 400 ",
" rs . 300 ",
" rs . 500 ",
" rs . 350 "
] | a |
1 | average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students . | [
"1200 ",
" 120 ",
" 360 ",
" 240 "
] | d |
2 | sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ? | [
"229 ",
" 270 ",
" 877 ",
" 266 "
] | b |
3 | 120 is what percent of 50 ? | [
"5 % ",
" 240 % ",
" 50 % ",
" 2 % "
] | b |
4 | there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ? | [
"1 / 2 ",
" 1 / 3 ",
" 1 / 5 ",
" 10 / 30 "
] | a |
5 | an empty fuel tank with a capacity of 218 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ? | [
"122 ",
" 150 ",
" 100 ",
" 80 "
] | a |
6 | an article is bought for rs . 823 and sold for rs . 1000 , find the gain percent ? | [
"21.4 % ",
" 21.5 % ",
" 21.6 % ",
" 21.7 % "
] | b |
7 | 6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ? | [
"3 ",
" 4 ",
" 5 ",
" 6 "
] | a |
8 | j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ? | [
"93.5 ",
" 90 ",
" 6.75 ",
" 6.25 "
] | d |
9 | a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number . | [
"60 ",
" 70 ",
" 80 ",
" 90 "
] | c |
10 | the average weight of 8 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ? | [
"81 kg ",
" 85 kg ",
" 90 kg ",
" 100 kg "
] | a |
11 | a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ? | [
"60 ",
" 50 ",
" 28 ",
" 26 "
] | a |
12 | the average of 15 result is 60 . average of the first 10 of them is 10 and that of the last 10 is 80 . find the 8 th result ? | [
"35 ",
" 200 ",
" 150 ",
" 250 "
] | b |
15 | a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? | [
"30 % . ",
" 71 % . ",
" 49 % . ",
" 29 % . "
] | a |
16 | the total of 324 of 20 paise and 25 paise make a sum of rs . 70 . the no of 20 paise coins is | [
"238 ",
" 277 ",
" 220 ",
" 200 "
] | c |
17 | in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ? | [
"45 % ",
" 113 % ",
" 145 % ",
" 150 % "
] | b |
19 | arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long , 5 cm wide and 2 cm thick . to cut costs , the company had decided to reduce the volume of the bar by 19 % . the thickness will remain same , but the length and width will be decreased by some percentage . the new width will be , | [
"33 ",
" 87 ",
" 99 ",
" 367 "
] | a |
20 | kim finds a 5 - 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 ? | [
"8 / 15 ",
" 1 / 2 ",
" 7 / 5 ",
" 3 / 5 "
] | d |
21 | mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? | [
"$ 1.62 ",
" $ 1.85 ",
" $ 2.00 ",
" $ 2.15 "
] | a |
23 | the profit obtained by selling an article for rs . 57 is the same as the loss obtained by selling it for rs . 43 . what is the cost price of the article ? | [
"rs . 40 ",
" rs . 50 ",
" rs . 49 ",
" rs . 59 "
] | b |
24 | in 2008 , the profits of company n were 8 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ? | [
"150 % ",
" 105 % ",
" 120 % ",
" 124.2 % "
] | a |
25 | a garrison of 2000 men has provisions for 54 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ? | [
"1778 ",
" 1682 ",
" 9178 ",
" 1900 "
] | d |
26 | if a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10 percent , what percent of the original speed is the total increase in speed ? | [
"10 % ",
" 40 % ",
" 43 % ",
" 64 % "
] | c |
27 | what is the greatest number that divides 263 , 935 and 1383 leaving a remainder of 7 in each case ? | [
"30 ",
" 31 ",
" 32 ",
" 35 "
] | c |
28 | how many seconds will a 900 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ? | [
"48 ",
" 36 ",
" 54 ",
" 11 "
] | c |
29 | find the average of all the numbers between 6 and 38 which are divisible by 4 . | [
"18 ",
" 22 ",
" 20 ",
" 30 "
] | b |
30 | if the cost price is 96 % of sp then what is the profit % | [
"4.07 % ",
" 4 % ",
" 4.7 % ",
" 4.17 % "
] | d |
31 | a car gets 27 miles to the gallon . if it is modified to use a solar panel , it will use only 75 percent as much fuel as it does now . if the fuel tank holds 14 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ? | [
"120 ",
" 126 ",
" 132 ",
" 138 "
] | b |
32 | a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . the number of days for which the remaining food will last , is : | [
"34 ",
" 387 ",
" 42 ",
" 28 "
] | c |
35 | because he ’ s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 3 times as much as mork did , what was their combined tax rate ? | [
"32.5 % ",
" 34 % ",
" 35 % ",
" 36 % "
] | a |
36 | a watch was sold at a loss of 5 % . if it was sold for rs . 500 more , there would have been a gain of 5 % . what is the cost price ? | [
"1000 ",
" 2998 ",
" 2778 ",
" 2788 "
] | d |
37 | a car travels at a speed of 65 miles per hour . how far will it travel in 6 hours ? | [
"125 miles ",
" 225 miles ",
" 390 miles ",
" 425 miles "
] | c |
39 | if p / q = 4 / 5 , then the value of 11 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ? | [
"3 / 7 ",
" 34 ",
" 1 ",
" 2 "
] | d |
40 | if x ^ 2 + y ^ 2 = 13 and xy = 3 , then ( x − y ) ^ 2 = | [
"7 ",
" 11 ",
" 14 ",
" 17 "
] | a |
41 | a big container is 40 % full with water . if 14 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container in liters ? | [
"32 ",
" 36 ",
" 40 ",
" 44 "
] | c |
42 | the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 8 . what is the ratio of the smaller number to the larger number ? | [
"1 : 8 ",
" 1 : 6 ",
" 1 : 5 ",
" 1 : 4 "
] | d |
43 | the salaries of a , b , and c are in the ratio of 1 : 2 : 3 . the salary of b and c together is rs . 6000 . by what percent is the salary of c more than that of a ? | [
"209 % ",
" 200 % ",
" 290 % ",
" 600 % "
] | b |
44 | a man swims downstream 96 km and upstream 40 km taking 8 hours each time ; what is the speed of the current ? | [
"3.5 kmph ",
" 1.5 kmph ",
" 13 kmph ",
" 6.5 kmph "
] | a |
45 | vinoth can complete a painting work in 20 days . prakash can do the same work in 25 days . they start the work together but vinoth quit after 3 days of work . how many days are required to complete the remaining painting work by prakash . | [
"15.25 days ",
" 16.25 days ",
" 17.25 days ",
" 18.25 days "
] | d |
46 | the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 5 people , the cost per person would have been $ 50 less . what was the total cost cost of the vacation ? | [
"$ 200 ",
" $ 375 ",
" $ 400 ",
" $ 500 "
] | b |
47 | how many ounces of a 60 % salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ? | [
"16.67 ",
" 30 ",
" 50 ",
" 60.33 "
] | b |
48 | if 20 % of a is the same as 30 % of b , then a : b is : | [
"5 : 4 ",
" 5 : 3 ",
" 4 : 3 ",
" 3 : 2 "
] | d |
49 | d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and bc = 13 cm , then find the length of de . | [
"12 ",
" 13 ",
" 14 ",
" 11 "
] | c |
51 | if y > 0 , ( 1 y ) / 20 + ( 3 y ) / 10 is what percent of y ? | [
"35 % ",
" 50 % ",
" 60 % ",
" 70 % "
] | a |
52 | how many of the positive factors of 25 , 15 and how many common factors are there in numbers ? | [
"1 ",
" 2 ",
" 3 ",
" 4 "
] | b |
53 | a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 5 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollmen... | [
"17.5 % ",
" 26 % ",
" 30 % ",
" 35 % "
] | b |
54 | of the 17,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? | [
"14.3 % ",
" 16.67 % ",
" 33 % ",
" 28.6 % "
] | d |
55 | an electric pump can fill a tank in 10 hours . because of a leak in the tank , it took 20 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ? | [
"10 hours ",
" 12 hours ",
" 20 hours ",
" 5 hours "
] | c |
56 | for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 36 ) ? | [
"2 ",
" 5 ",
" 11 ",
" 17 "
] | d |
58 | 5 women can do a work in two days . 10 men can complete the same work in five days . what is the ratio between the capacity of a man and a woman ? | [
"1 : 2 ",
" 1 : 5 ",
" 2 : 3 ",
" 3 : 2 "
] | b |
59 | what is the positive difference between the sum of the squares of the first 8 positive integers and the sum of the prime numbers between the first square and fourth square ? | [
"161 ",
" 162 ",
" 163 ",
" 164 "
] | c |
60 | the average age of 19 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ? | [
"9 ",
" 71 ",
" 85 ",
" 92 "
] | b |
61 | a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer ’ s sugge... | [
"$ 10.00 ",
" $ 11.20 ",
" $ 22.40 ",
" $ 16.00 "
] | c |
62 | the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45 , then how long is the base of isosceles triangle ? | [
"5 units ",
" 10 units ",
" 15 units ",
" 20 units "
] | a |
63 | a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is ... | [
") 8'",
") 16'",
") 24'",
") 32'"
] | b |
64 | calculate the ratio between x and y if 25 % of x equal to 40 % of y ? | [
"5 : 8 ",
" 5 : 9 ",
" 5 : 7 ",
" 5 : 6 "
] | a |
65 | . 003 / ? = . 01 | [
". 3 ",
" . 09 ",
" . 009 ",
" . 0009 "
] | a |
66 | if √ 10 = 3.16 , find the value of if √ 5 / 2 | [
"1.3 ",
" 1.58 ",
" 2.03 ",
" 2.15 "
] | b |
68 | 30 men can do a work in 40 days . when should 12 men leave the work so that the entire work is completed in 40 days after they leave the work ? | [
"18 days ",
" 10 days ",
" 55 days ",
" 44 days "
] | a |
69 | carrie likes to buy t - shirts at the local clothing store . they cost $ 9.65 each . one day , she bought 12 t - shirts . how much money did she spend ? | [
"$ 115.8 ",
" $ 248.75 ",
" $ 200 ",
" $ 171.6 "
] | a |
70 | a train 110 m long is running with a speed of 30 km / h . in how many seconds will the train pass a man who is running at 3 km / h in the direction opposite to that in which the train is going ? | [
"6 ",
" 8 ",
" 10 ",
" 12 "
] | d |
71 | kanul spent $ 3000 in buying raw materials , $ 1000 in buying machinery and 30 % of the total amount he had as cash with him . what was the total amount ? | [
"$ 5825.16 ",
" $ 5725.26 ",
" $ 5714.28 ",
" $ 5912.52 "
] | c |
72 | a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 204 , what is the fewest number of $ 3 frisbees that could have been sold ? | [
"24 ",
" 12 ",
" 8 ",
" 52 "
] | d |
73 | two trains 110 meters and 200 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ? | [
"4.85 ",
" 7.69 ",
" 6.85 ",
" 5.85 "
] | b |
74 | how many 1 / 10 s are there in 37 1 / 2 ? | [
"375 ",
" 475 ",
" 500 ",
" 670 "
] | a |
75 | a circle graph shows how the megatech corporation allocates its research and development budget : 12 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph i... | [
"43 ° ",
" 10 ° ",
" 18 ° ",
" 36 ° "
] | a |
76 | how much interest will $ 10,000 earn in 3 months at an annual rate of 6 % ? | [
"$ 250 ",
" $ 150 ",
" $ 450 ",
" $ 550 "
] | b |
77 | how many different values of positive integer x , for which | x + 9 | < x , are there ? | [
"0 ",
" 2 ",
" 3 ",
" 8 "
] | c |
78 | if the average of 10 consecutive integers is 21.5 then the 10 th integer is : - | [
"15 ",
" 20 ",
" 23 ",
" 26 "
] | d |
79 | in a box of 8 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? | [
"2 / 10 ",
" 3 / 11 ",
" 4 / 13 ",
" 5 / 14 "
] | d |
80 | in filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be ? | [
") 100 cu . m'",
") 1000 cu . m'",
") 10000 cu . m'",
") 100000 cu . m'"
] | c |
82 | a right triangle is inscribed in a circle . the legs of the triangle have lengths 6 and 8 . what is the diameter of the circle ? | [
") 8'",
") 8 π'",
") 9 √ 3'",
") 10'"
] | d |
83 | what is 15 percent of 64 ? | [
"7.2 ",
" 8.4 ",
" 9.6 ",
" 10.4 "
] | c |
84 | each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 55 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its we... | [
"15 ",
" 28 ",
" 18 ",
" 24 "
] | a |
85 | for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 181 ? | [
"3820 ",
" 5740 ",
" 6580 ",
" 7360 "
] | b |
87 | if k is an integer and 0.0010101 x 10 ^ k is greater than 10 , what is the least possible value of k ? | [
"2 ",
" 3 ",
" 4 ",
" 5 "
] | c |
88 | if a and b are positive integers and ( 3 ^ a ) ^ b = 3 ^ 3 , what is the value of 3 ^ a * 3 ^ b ? | [
"3 ",
" 9 ",
" 81 ",
" 27 "
] | c |
89 | a gardener is going to plant 2 red rosebushes and 2 white rosebushes . if the gardener is to select each of the bushes at random , one at a time , and plant them in a row , what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes ? | [
"1 / 12 ",
" 1 / 6 ",
" 1 / 5 ",
" 1 / 3 "
] | b |
90 | a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidate... | [
"138 ",
" 140 ",
" 142 ",
" 145 "
] | b |
91 | what will be the lcm of 8 , 24 , 36 and 54 | [
"54 ",
" 108 ",
" 216 ",
" 432 "
] | c |
92 | a number exceeds by 35 from its 3 / 8 part . then the number is ? | [
"a ) 56 ",
" b ) 35 ",
" c ) 39 ",
" d ) 40 "
] | a |
93 | if 0.75 : x : : 5 : 6 , then x is equal to : | [
"1.12 ",
" 1.16 ",
" 1.2 ",
" 0.9 "
] | d |
94 | two trains of equal lengths take 10 sec and 14 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ? | [
"10 ",
" 12 ",
" 13 ",
" 11.7 "
] | d |
95 | four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is : | [
") 24 cm 2'",
") 42 cm 2'",
") 154 cm 2'",
") 196 cm 2'"
] | b |
96 | in the coordinate plane , line a has a slope of - 1 and an x - intercept of 1 . line b has a slope of 4 and a y - intercept of - 4 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ? | [
"0 ",
" 1 ",
" 2 ",
" 3 "
] | b |
97 | if the annual increase in the population of a town is 10 % and the present number of people is 10000 , what will the population be in 2 years ? | [
"12100 ",
" 15240 ",
" 12456 ",
" 11452 "
] | a |
99 | calculate the circumference of a circular field whose radius is 10 centimeters . | [
"20 π cm ",
" 19 π cm ",
" 28 π cm ",
" 25 π cm "
] | a |
101 | a , b and c started a partnership business by investing rs . 12000 , rs . 16000 , rs . 20000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ? | [
"70000 ",
" 60000 ",
" 86400 ",
" 90000 "
] | c |
102 | two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 24 seconds , what is the ratio of their speeds ? | [
"1 : 3 ",
" 3 : 1 ",
" 7 : 3 ",
" 3 : 2 "
] | c |
103 | sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 450 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every d... | [
"$ 1.50 ",
" $ 1.88 ",
" $ 2.25 ",
" $ 2.50 "
] | d |
104 | at sandi ’ s pet shop , 25 cups of bird seed are used every 5 days to feed 15 parakeets . how many cups of bird seed would be required to feed 14 parakeets for 7 days ? | [
"40.5 ",
" 32.34 ",
" 6.23 ",
" 9 "
] | b |
105 | there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability e that the both positions will be taken by members of just one party ? | [
"1 / 25 ",
" 12 / 49 ",
" 1 / 4 ",
" 24 / 49 "
] | d |
106 | a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 80 km / hr . what is the speed of the car in the second half of the trip ? | [
"40 ",
" 42 ",
" 45 ",
" 48 "
] | d |
107 | sonika deposited rs . 8000 which amounted to rs . 11200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ? | [
"9680 ",
" 2277 ",
" 11680 ",
" 12068 "
] | c |
108 | a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 % . the wholesaler sells the same to retailer at a profit of 20 % . the retailer in turn sells them to a customer for rs . 30.09 , there by earning a profit of 25 % . the cost price for the manufacturer is : | [
"rs . 15 ",
" rs . 16 ",
" rs . 17 ",
" rs . 18 "
] | c |
109 | how long will a boy take to run round a square field of side 40 meters , if he runs at the rate of 12 km / hr ? | [
"52 sec ",
" 48 sec ",
" 60 sec ",
" 25 sec "
] | b |
111 | the average runs scored by a batsman in 10 matches is 40 . in the next 10 matches the batsman scored an average of 30 runs . find his average in all the 20 matches ? | [
"31 ",
" 35 ",
" 88 ",
" 13 "
] | b |
112 | there are 300 giraffes at a large zoo . the number of giraffes is 3 times the number of all the other animals combined . how many more giraffes are there than non giraffes animals at the zoo ? | [
"400 ",
" 360 ",
" 300 ",
" 290 "
] | d |
113 | bucket a is 1 / 4 full of sand , and bucket b , which has one - half the capacity of bucket a , is 3 / 8 full of sand . jana pours the contents of bucket b into bucket a . bucket a is now filled to what fraction of its capacity ? | [
"3 / 8 ",
" 7 / 16 ",
" 1 / 2 ",
" 5 / 8 "
] | b |
114 | if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 15 . what is the value of f ( 6 ) ? | [
"4 ",
" 0 ",
" 1 ",
" 2 "
] | a |
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