niryuu/sni-each-converted huggingface dataset:
Problem: the number of the members of a club is more than 50 and less than 80. when 4 people sit at a table, other people exactly divided to 8 - people groups ( 8 people sit at a table. or 7 - people groups ( 7 people sit at a table.. if the members are divided to 9 - people groups, how many people will be left ?
Options: a. 0, b. 2, c. 4, d. 6, e. 8
Output: d
Problem: a train running at the speed of 72 km / hr crosses a pole in 9 seconds. find the length of the train.
Options: a. 150 meter, b. 286 meter, c. 180 meter, d. 288 meter, e. 265 meter
Output: c
Problem: two clocks are set correctly at 1 0 ' clock in the afternoon. one keeps correct time. the other gains 5 seconds per minute. that evening, when the fast clock shows 6: 20, what does the correct clock show ?
Options: a. 4.0, b. 5.0, c. 6.0, d. 7.2, e. 3.5
Output: c
Problem: the triplicate ratio of 1: 3 is ?
Options: a. 1: 27, b. 1: 8, c. 1: 3, d. 1: 1, e. 1: 2
Output: a
Problem: a shopkeeper sold an article offering a discount of 5 % and earned a profit of 22.55 %. what would have been the percentage of profit earned if no discount was offered ?
Options: a. 60 %, b. 29 %, c. 39 %, d. 56 %, e. 73 %
Output: b
Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn $ 90 only. men ’ s wages are ?
Options: a. $ 4, b. $ 6, c. $ 7, d. $ 9, e. $ 3
Output: b
Problem: two trains of equal are running on parallel lines in the same direction at 48 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is ?
Options: a. 60 m, b. 72 m, c. 80 m, d. 82 m, e. 84 m
Output: a
Problem: how many positive integers less than 20 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ?
Options: a. 14, b. 13, c. 12, d. 11, e. 10
Output: a
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t. what is the greatest two digit prime saturated integer ?
Options: a. 99, b. 98, c. 97, d. 96, e. 95
Output: d
Problem: a cycle is bought for rs. 1500 and sold for rs. 1620, find the gain percent ?
Options: a. 11, b. 8, c. 10, d. 20, e. 12
Output: b
Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses. if student a answers each of the 100 questions on her test and receives a score of 76, how many questions did student a answer correctly ?
Options: a. 92, b. 60, c. 73, d. 82, e. 91
Output: a
Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent. overall he make a.
Options: a. 228, b. 288, c. 27, d. 200, e. 280
Output: e
Problem: in a certain candy store, 22 % of the customers are caught sampling the candy and are charged a small fine, but 5 % of the customers who sample the candy are not caught. what is the total percent of all customers who sample candy ?
Options: a. 22 %, b. 23 %, c. 24 %, d. 25 %, e. 34 %
Output: b
Problem: the average of first 22 natural numbers is ?
Options: a. 11.6, b. 11.5, c. 12.9, d. 15.4, e. 15.1
Output: b
Problem: in a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. if the each possible product is between 10 and 400, then the least and greatest integer on the card would be
Options: a. 3 and 15, b. 3 and 20, c. 4 and 13, d. 4 and 14, e. 5 and 14
Output: b
Problem: p, q and r have $ 4000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r ?
Options: a. 2400, b. 2403, c. 3998, d. 2539, e. 1600
Output: e
Problem: rahul and sham together can complete a task in 35 days, but rahul alone can complete same work in 60 days. calculate in how many days sham can complete this work ?
Options: a. 84 days, b. 82 days, c. 76 days, d. 68 days, e. 60 days
Output: a
Problem: a train running at the speed of 60 km / hr crosses a pole in 6 sec. what is the length of the train ?
Options: a. 356, b. 278, c. 127, d. 100, e. 150
Output: d
Problem: lucy bought a 1 - year, 10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. what was the total amount of interest paid on this certificate at maturity ?
Options: a. 10464, b. 864, c. 816, d. 800, e. 480
Output: d
Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 6, x ^ 4 + ( 1 / x ^ 4 ) = ?
Options: a. 10, b. 11, c. 12, d. 34, e. 15
Output: d
Problem: a bag marked at $ 125 is sold for $ 120. the rate of discount is ?
Options: a. 10 %, b. 25 %, c. 20 %, d. 50 %, e. 4 %
Output: e
Problem: the radius of a cylindrical vessel is 8 cm and height is 3 cm. find the whole surface of the cylinder ?
Options: a. 308 sq cm, b. 220 sq cm, c. 440 sq cm, d. 553.1 sq cm, e. 138 sq cm
Output: d
Problem: the marks obtained by vijay and amith are in the ratio 6: 5 and those obtained by amith and abhishek in the ratio of 3: 2. the marks obtained by vijay and abhishek are in the ratio of ?
Options: a. 1: 5, b. 4: 5, c. 9: 5, d. 9: 8, e. 9: 7
Output: c
Problem: for what value of x, is | x – 3 | + | x + 1 | + | x | = 10 ?
Options: a. 0, b. 3, c. - 3, d. 4, e. - 2
Output: d
Problem: when n is divided by 5 the remainder is 3. what is the remainder when ( n + 3 ) ^ 2 is divided by 5 ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: b
Problem: right now, the ratio between the ages of sandy and molly is 4: 3. after 6 years, sandy ’ s age will be 66 years. what is molly ' s age right now ?
Options: a. 15 years, b. 35 years, c. 25 years, d. 45 years, e. 55 years
Output: d
Problem: a and b can do a work in 5 days and 10 days respectively. a starts the work and b joins him after 4 days. in how many days can they complete the remaining work ?
Options: a. 6 days, b. 2 / 3 days, c. 8 days, d. 3 days, e. 9 days
Output: b
Problem: ( 935421 x 625 ) = ?
Options: a. 542622125, b. 584632125, c. 544638125, d. 584638125, e. none of these
Output: d
Problem: a certain fraction is equivalent to 3 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 3. what is the sum of the numerator and denominator of the original fraction ?
Options: a. 49, b. 35, c. 28, d. 56, e. 21
Output: d
Problem: a survey was sent to 65 customers, 7 of whom responded. then the survey was redesigned and sent to another 63 customers, 9 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey ?
Options: a. 2 %, b. 4 %, c. 14 %, d. 28 %, e. 63 %
Output: b
Problem: bert and rebecca were looking at the price of a condominium. the price of the condominium was 100 % more than bert had in savings, and separately, the same price was also 60 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.
Options: a. 1: 5, b. 2: 5, c. 3: 5, d. 4: 5, e. 1: 1
Output: d
Problem: a man swims downstream 30 km and upstream 20 km taking 5 hours each time, what is the speed of the man in still water ?
Options: a. 7, b. 8, c. 2, d. 5, e. 4
Output: d
Problem: andrew purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. how much amount did he pay to the shopkeeper ?
Options: a. 1000, b. 1055, c. 1060, d. 1075, e. 1080
Output: b
Problem: how many integers v are prime numbers in the range 200 < v < 220 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: a
Problem: if the average of 20 digits is 500 and the average of 14 of them is 390, calculate the average of the remaining 6 numbers ?
Options: a. 756.7, b. 751.7, c. 753.7, d. 752.7, e. 722.7
Output: a
Problem: two bullet train s 140 m and 180 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time ( in seconds ) which they take to cross each other, is :
Options: a. 15.8 sec., b. 11.52 sec., c. 11.8 sec., d. 10.8 sec., e. 08.8 sec.
Output: b
Problem: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5: 3. if he sells the blended variety at rs 25 per kg, then his gain percent is
Options: a. 12 %, b. 33 %, c. 14 %, d. 15 %, e. 16 %
Output: b
Problem: the length of a rectangular plot is thrice its width. if the area of the rectangular plot is 768 sq meters, then what is the width ( in meters ) of the rectangular plot ?
Options: a. 24 m, b. 16 m, c. 35 m, d. 54 m, e. 43 m
Output: b
Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e. g. 202, 575, 1991, etc. ) p is the smallest integer greater than 500 that is both a prime and a palindrome. what is the sum of the digits of p ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
Output: b
Problem: if p / q = 4 / 5, then the value of 25 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ?
Options: a. 4, b. 34, c. 1, d. 2, e. 3
Output: a
Problem: a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price r of the machine ?
Options: a. 81, b. 100, c. 120, d. 135, e. 160
Output: c
Problem: bottle r contains 350 capsules and costs $ 6.25. bottle t contains 130 capsules and costs $ 2.99. what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ?
Options: a. $ 0.25, b. $ 0.12, c. $ 0.0052, d. $ 0.003, e. $ 0.002
Output: c
Problem: the milk level in a rectangular box measuring 58 feet by 25 feet is to be lowered by 6 inches. how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons )
Options: a. 100, b. 250, c. 750, d. 5437.5, e. 5635.5
Output: d
Problem: on a certain date, pat invested $ 7,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 28,000, in how many years total will the total value of the investment plus interest increase to $ 56,000 ?
Options: a. 15, b. 16, c. 18, d. 20, e. 24
Output: a
Problem: on a certain date, pat invested $ 10,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 12 years will be $ 40,000, in how many years, the total value of the investment plus interest will increase to $ 160,000 ?
Options: a. 15, b. 16, c. 18, d. 20, e. 24
Output: e
Problem: a rectangular block 15 cm by 30 cm by 75 cm is cut into an exact number of equal cubes. find the least possible number of cubes ?
Options: ['a. 6', 'b. 40', 'c. 15', 'd. 10', 'e. 22']
Output: d
Problem: after replacing an old member by a new member, it was found that the average age of 5 members of a club is the same as it was 3 years ago. what is the difference between the ages of the replaced and the new member ?
Options: a. 12, b. 13, c. 14, d. 15, e. 16
Output: d
Problem: zinc and copper are melted together in the ratio 9: 11. what is the weight of melted mixture, if 26.1 kg of zinc has been consumed in it ?
Options: a. 58 kg, b. 60 kg, c. 64 kg, d. 70 kg, e. none
Output: a
Problem: the ratio of boys to girls is 6: 4.60 % of the boys and 40 % of girls take lunch in the canteen. what % of class takes lunch ?
Options: a. 51 %, b. 52 %, c. 53 %, d. 54 %, e. 55 %
Output: b
Problem: a person x started at 3 hours earlier at 40 km / h from a place p, then another person y followed him at 60 km / h. started his journey at 3 o ' clock, afternoon. what is the diference in time when x was 30 km ahead of y and when y was 30 km ahead of x ?
Options: a. 8 h, b. 3 h, c. 6 h, d. 3 h, e. 1 h
Output: b
Problem: a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with squre tiles. find the least number of squre tiles required to cover the floor ?
Options: a. 178, b. 128, c. 127, d. 176, e. 171
Output: d
Problem: if i walk at 6 km / h, i miss the bus by 12 minutes. if i walk at 5 km / h, i reach 14 minutes before the arrival of the bus. how far i walk to reach the bus stand ?
Options: a. 13 km, b. 12 km, c. 11 km, d. 6.5 km, e. 5.5 km
Output: a
Problem: if 35 % of a number is 24 less than 50 % of that number, then the number is ?
Options: a. 180, b. 450, c. 160, d. 170, e. 185
Output: c
Problem: tom opened a shop investing rs. 3000. jose joined him 2 months later, investing rs. 4500. they earned a profit of rs. 5400 after completion of one year. what will be jose ' s share of profit ?
Options: a. 3000, b. 2200, c. 2309, d. 2400, e. 3200
Output: a
Problem: if the selling price of 60 articles is equal to the cost price of 30 articles, then the loss or gain percent is :
Options: a. 55 %, b. 35 %, c. 66 %, d. 45 %, e. 50 %
Output: e
Problem: there are 5 fictions and 6 non - fictions. how many cases are there such that 2 fictions and 2 non - fictions are selected from them ?
Options: a. 90, b. 120, c. 150, d. 180, e. 200
Output: c
Problem: in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1,155, and if 1 < p < q < r < s, how many students in the class are accounting majors ?
Options: a. 3, b. 5, c. 8, d. 11, e. 17
Output: a
Problem: the area of a triangle is with base 4 m and height 6 m ?
Options: a. 11 m 2, b. 10 m 2, c. 18 m 2, d. 19 m 2, e. 12 m 2
Output: e
Problem: if 40 sheep eat 40 bags of grass in 40 days. in how many days one sheep will eat one bag of grass ?
Options: a. 1, b. 20, c. 40, d. 80, e. 70
Output: c
Problem: increasing the original price of an article by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by
Options: a. 40 %, b. 41 %, c. 42 %, d. 43 %, e. 44 %
Output: e
Problem: the age of somu is one - third his father ' s. 6 years back he was one - fifth of his father ' s age. what is his persent age ?
Options: a. 11, b. 13, c. 14, d. 12, e. 10
Output: d
Problem: john builds a square with a side of 12 cm from some wire. if from the same wire, he builds a rectangle with a width of 6 cm, what will be the length of the rectangle ?
Options: ['a. 18 cm', 'b. 19 cm', 'c. 20 cm', 'd. 21 cm', 'e. none']
Output: a
Problem: a train 560 m long, running with a speed of 63 km / hr will pass a tree in ?
Options: a. 15, b. 16, c. 17, d. 28, e. 32
Output: e
Problem: the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs. 180. the banker â € ™ s discount is
Options: a. rs. 960, b. rs. 840, c. rs. 1020, d. rs. 680, e. none
Output: d
Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 10.
Options: a. 150, b. 152, c. 154, d. 163, e. 144
Output: d
Problem: a lady builds 8 cm length, 15 cm width, and 5 cm height box using 10 cubic cm cubes. what is the minimum number of cubes required to build the box ?
Options: a. 107, b. 60, c. 70, d. 89, e. 78
Output: b
Problem: a furniture dealer purchased a desk for $ 100 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
Options: a. 40 %, b. 45 %, c. 50 %, d. 55 %, e. 60 %
Output: a
Problem: there 3 kinds of books in the library physics, chemistry and biology. ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. which one of following can be the total w of the book ?
Options: a. 3003, b. 3027, c. 3024, d. 3021, e. 3018
Output: a
Problem: the diameter of the driving wheel of a bus in 140 cm. how many revolutions per minute must the wheel make in order to keep a speed of 33 kmph ?
Options: a. 210, b. 220, c. 125, d. 240, e. 250
Output: c
Problem: the population of a bacteria colony doubles every day. if it was started 8 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today ?
Options: a. 512, b. 768, c. 1024, d. 2048, e. 4096
Output: a
Problem: how many quarters are equal to 7 dollars ?
Options: a. 1, b. 28, c. 12, d. 9, e. 7
Output: b
Problem: what is 0.1 percent of 12,356 ?
Options: a. 0.12356, b. 1.2356, c. 12.356, d. 0.012356, e. 0.0012356
Output: c
Problem: the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22. what is the original number ?
Options: a. 40, b. 50, c. 65, d. 70, e. 90
Output: a
Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 33, find the value of ab.
Options: a. 12, b. 15, c. 10, d. 18, e. 13
Output: a
Problem: 1: 3 = 1 2 / 3: x. the value of x is ?
Options: a. 1, b. 6, c. 7, d. 5, e. 8
Output: d
Problem: how many figures are required to number the pages the pages of a book containing 709 pages ?
Options: a. 2020, b. 2019, c. 1019, d. 2029, e. 2039
Output: b
Problem: a cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. the percentage of the wood wasted is :
Options: ['a. 45 %', 'b. 56 %', 'c. 67 %', 'd. 75 %', 'e. none of these']
Output: d
Problem: of the votes cast on a certain proposal, 66 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it. )
Options: a. 290, b. 310, c. 330, d. 350, e. 370
Output: c
Problem: a can finish a work in 72 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. 30 days, b. 12 days, c. 6 days, d. 7 days, e. 8 days
Output: a
Problem: the average earning of amechanic for the first 4 days of a week is rs. 25 and for the last 4 days is rs. 22. if heearns rs. 20 on the fourth day, his average earning forthe whole week is ?
Options: a. s. 10, b. s. 24, c. s. 30, d. s. 40, e. s. 50
Output: b
Problem: a sum of money deposited at c. i. amounts to rs. 2420 in 2 years and to rs. 3025 in 3 years. find the rate percent ?
Options: a. 11, b. 10, c. 28, d. 25, e. 82
Output: d
Problem: 9 men working 8 hours per day dig 30 m deep. how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?
Options: a. 33, b. 66, c. 88, d. 11, e. 281
Output: d
Problem: a building contractor employs 20 male, 15 female and 5 child workers. to a male worker he pays rs. 25 per day, to a female worker rs. 20 per day and a child worker rs. 8 per day. the average wage per day paid by the contractor is ?
Options: a. 19, b. 21, c. 23, d. 25, e. 27
Output: b
Problem: what is the remainder when 3 ^ 33 is divided by 5 ?
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: d
Problem: find ( 7 x + 2 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?
Options: a. 23, b. 25, c. 26, d. 27, e. 29
Output: a
Problem: john left home and drove at the rate of 45 mph for 2 hours. he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. how many miles did john drive ?
Options: a. 235 miles., b. 245 miles., c. 225 miles., d. 265 miles., e. 275 miles.
Output: c
Problem: a statue is being carved by a sculptor. the original piece of marble weighed 190 kg. in the first week 25 percent is cut away. in the second week 15 percent of the remainder is cut away. in the third week the statue is completed when 10 percent of the remainder is cut away. what is the weight of the final statue ?
Options: a. 105 kg, b. 103 kg, c. 109 kg, d. 125 kg, e. 117 kg
Output: c
Problem: the population of a town increased from 1, 75,000 to 2, 97,500 in a decade. the average percent increase of population per year is
Options: a. 4.37 %, b. 5 %, c. 6 %, d. 8.75 %, e. 7 %
Output: e
Problem: in an exam, gibi scored 59 percent, jigi scored 55 percent, mike scored 99 percent and lizzy 67 percent. the maximum score awarded in the exam is 700. find the average mark scored by all the 4 students ?
Options: a. 471, b. 490, c. 480, d. 453, e. 456
Output: b
Problem: in how many no. between 10 and 50 exactly two of the digits is 5 ?
Options: a. 47, b. 65, c. 1, d. 35, e. 65
Output: c
Problem: john and david work at a hospital with 8 other workers. for an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. what is the probability that john and david will both be chosen ?
Options: a. 1 / 30, b. 1 / 25, c. 1 / 20, d. 1 / 28, e. 1 / 30
Output: d
Problem: by selling 8 pens for a rupee a woman loses 25 %. how many for a rupee should he sell in order to gain 25 % ?
Options: a. 2, b. 14, c. 3, d. 5, e. 6
Output: d
Problem: 3.20 can be expressed in terms of percentage as
Options: a. 3.20 %, b. 30.2 %, c. 320.00 %, d. 0.320 %, e. none of these
Output: c
Problem: a person was asked to subtract 25 % of a number from the original but he subtracted 25 from the number. his answer was 25 more than correct one. what was the original number ?
Options: a. 288, b. 266, c. 288, d. 200, e. 111
Output: d
Problem: if x: y is 1: 5 and y: z is 5: 7 then x: z is equal to
Options: a. 1: 6, b. 1: 5, c. 1: 4, d. 1: 7, e. 1: 3
Output: d
Problem: divide $ 1000 among a, b in the ratio 1: 3. how many $ that a get ?
Options: a. $ 50, b. $ 500, c. $ 150, d. $ 250, e. $ 600
Output: d
Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 72 kilometers, maxwell ' s walking speed is 6 km / h, and brad ' s running speed is 12 km / h. what is the distance traveled by maxwell when they meet in the middle ?
Options: a. 14, b. 24, c. 16, d. 18, e. 20
Output: b
Problem: carolyn bought 17 gumballs, lew bought 12 gumballs, and carey bought x gumballs. the average ( arithmetic mean ) number of gumballs the 3 bought is between 19 and 25, inclusive. what is the difference between the greatest number and the smallest number of gumballs carey could have bought ?
Options: a. 18, b. 20, c. 22, d. 24, e. 26
Output: a
Problem: a train 250 m long passed a pole in 10 sec. how long will it take to pass a platform 1250 m long ?
Options: a. 60 sec, b. 90 sec, c. 120 sec, d. 150 sec, e. 180 sec
Output: a
Problem: one ball will drop from a certain height. the height it will reach after rebounding from the floor is 50 percent of the previous height. the total travel is 225 cm when it touches the floor on third time. what is the value of the original height ?
Options: a. 80 cm, b. 90 cm, c. 100 cm, d. 120 cm, e. 130 cm
Output: b
Problem: a man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters down. how many days would it take for him to come out of the well ?
Options: a. 22, b. 46, c. 17, d. 27, e. 33
Output: d
Problem: if a mixture is 2 ⁄ 7 alcohol by volume and 3 ⁄ 7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture ?
Options: a. 3, b. 1 / 3, c. 2 / 3, d. 3 / 5, e. 4 / 5
Output: c
Problem: 20 percent of country y ' s yearly exports come from fruit exports. one - sixth of all fruit exports from country y are orange exports. if country y generates $ 4.25 million from its orange exports, how much money does it generate from its yearly total of exports ?
Options: a. $ 21.25 m, b. $ 25.5 m, c. $ 106.25 m, d. $ 127.5 m, e. $ 153 m
Output: d
Problem: what is the value of n if the sum of the consecutive odd intergers w from 1 to n equals 169 ?
Options: a. 47, b. 25, c. 37, d. 33, e. 29
Output: b
Problem: indu gave bindu rs. 7500 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
Options: a. 5, b. 2, c. 9, d. 5, e. 12
Output: e
Problem: evaluate: 7899665 - 12 * 3 * 2 = ?
Options: a. 2455835, b. 2789255, c. 6868575, d. 7899657, e. 1023666
Output: d
Problem: a can do a half of certain work in 70 days and b one third of the same in 35 days. they together will do the whole work in ?
Options: a. 1 / 65, b. 1 / 62, c. 1 / 63, d. 1 / 60, e. 1 / 61
Output: d
Problem: if 9 / ( 1 + 4 / x ) = 1, then x =
Options: a. 3, b. 1 / 2, c. 1 / 3, d. - 1 / 3, e. - 3
Output: b
Problem: what is the prime factors ’ number of 12 ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: b
Problem: in 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. how must the balls be divided so as to give a person who draws 1 ball from either bag - the least chance of drawing a red ball ?
Options: a. 1 / 32, b. 2 / 32, c. 3 / 32, d. 4 / 32, e. 5 / 32
Output: e
Problem: what is the sum of the odd integers from 55 to 75, inclusive ?
Options: a. 495, b. 550, c. 555, d. 600, e. 715
Output: e
Problem: in the first m games of a team ' s season, the ratio of the team ' s wins to its losses was 1: 2. in the subsequent n games, the ratio of the team ´ s wins to losses was 2: 3. if m: n = 4: 5, what was the ratio of the team ' s wins to its losses for all m + n games ?
Options: a. 7: 18, b. 9: 23, c. 10: 17, d. 23: 54, e. 31: 77
Output: c
Problem: for all even integers n, h ( n ) is defined to be the sum of the even integers between 2 and n, inclusive. what is the value of h ( 20 ) / h ( 10 ) ?
Options: a. 1.8, b. 60, c. 6, d. 18, e. 3
Output: e
Problem: a shopkeeper sold an article at $ 1170 and gained a 20 % profit. what was the cost price ?
Options: a. $ 950, b. $ 975, c. $ 1000, d. $ 1025, e. $ 1050
Output: b
Problem: how many positive integers less than 70 have a reminder 01 when divided by 3 ?
Options: a. 13, b. 24, c. 35, d. 16, e. 17
Output: b
Problem: an automobile parts supplier charges $ 25 per package of gaskets. when a customer orders more than 10 packages of gaskets, the supplier charges 4 / 5 the price for each package in excess of 10. during a certain week, the supplier sold 60 packages of gaskets. if 15 percent of the gaskets went to company x, 15 percent to company y, and the rest to company z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets ?
Options: a. 1340, b. 1445, c. 1375, d. 1415, e. 1455
Output: a
Problem: suresh started a business, investing rs. 18000. after 3 months and 4 months respectively, rohan and sudhir joined him with capitals of 12000 and 9000. at the end of the year the total profit was rs. 3982. what is the difference between rohan ’ s and sudhir ’ s share in the profit ?
Options: a. rs. 362, b. rs. 383, c. rs. 398, d. rs. 399, e. rs. 400
Output: a
Problem: how many words, with or without meaning, can be formed using all letters of the word orange using each letter exactly once ?
Options: a. 700, b. 720, c. 740, d. 760, e. 780
Output: b
Problem: if p is the product of the integers from 1 to 32, inclusive, what is the greatest integer k for which 3 ^ k is a factor of p ?
Options: a. 10, b. 12, c. 14, d. 16, e. 18
Output: c
Problem: two kinds of vodka are mixed in the ratio 1: 5 and 5: 1 and they are sold fetching the profit 10 % and 20 % 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. 21 %, b. 20 %, c. 21 % 18 %, d. 23 %, e. can not be determined
Output: c
Problem: a salesman sold twice as much pears in the afternoon than in the morning. if he sold $ 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon ?
Options: a. 120, b. 180, c. 240, d. 280, e. 320
Output: c
Problem: the average of the marks of 25 students in a class is 70. if the marks of each student are doubled, find the new average ?
Options: a. 140, b. 100, c. 85, d. 160, e. 190
Output: a
Problem: a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late. had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. what is the speed w of the train.
Options: a. a. 45, b. b. 33, c. c. 48, d. d. 55, e. e. 61
Output: c
Problem: amit and ananthu can do a work in 10 days and 20 days respectively. amit started the work and left after 2 days. ananthu took over and completed the work. in how many days was the total work completed ?
Options: a. 18 days, b. 20 days, c. 23 days, d. 25 days, e. 27 days
Output: a
Problem: there are two positive numbers in the ratio 4: 8. if the larger number exceeds the smaller by 16, then find the smaller number ?
Options: a. 25, b. 20, c. 77, d. 88, e. 44
Output: b
Problem: cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 1 to 7 to 8. if a total of 80 sandwiches were made, how many bologna sandwiches were made ?
Options: a. 15, b. 30, c. 35, d. 42, e. 48
Output: c
Problem: for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today ' s production of 110 units raises the average to 55 units per day, what is the value of n ?
Options: a. 9, b. 11, c. 13, d. 15, e. 17
Output: b
Problem: a train is 360 meter long is running at a speed of 50 km / hour. in what time will it pass a bridge of 140 meter length ?
Options: a. 87, b. 69, c. 36, d. 72, e. 21
Output: c
Problem: the population of locusts in a certain swarm doubles every two hours. if 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128,000 locusts ?
Options: a. 12, b. 8, c. 4, d. 10, e. 16
Output: d
Problem: the cash difference between the selling prices of an book at a profit of 12 % and 20 % is $ 3. the ratio of the two selling prices is :
Options: a. 55: 23, b. 52: 33, c. 52: 53, d. 45: 53, e. 14: 15
Output: e
Problem: mixture contains alcohol and water in the ratio 4: 3. if 5 liters of water is added to the mixture, the ratio becomes 4: 5. find the quantity of alcohol in the given mixture.
Options: a. 10, b. 99, c. 27, d. 22, e. 29
Output: a
Problem: a train 310 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long ?
Options: a. 40, b. 56, c. 41, d. 36, e. 34
Output: d
Problem: a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters. the price, before discount, of one meter of fabric is $ 2, what is the total amount of money the merchant spends on 6,500 meters of fabric ?
Options: a. $ 11,320, b. $ 12,430, c. $ 13,540, d. $ 14,650, e. $ 15,760
Output: b
Problem: two pipes a and b can fill a tank in 36 hours and 46 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank ?
Options: a. 20.195 hrs, b. 21.195 hrs, c. 22.195 hrs, d. 23.195 hrs, e. 20.495 hrs
Output: a
Problem: a grocer has a sale of rs. 5435, rs. 5927, rs. 5855, rs. 6230 and rs. 5562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5500 ?
Options: a. 4991, b. 5991, c. 3991, d. 6542, e. 6995
Output: c
Problem: find the result of equation of the ellipse whose foci are at ( 0, - 5 ) and ( 0, 5 ) and the length of its major axis is 14.
Options: a. 5, b. 4, c. 3, d. 2, e. 1
Output: e
Problem: if p represents the product of the first 16 positive integers, then p is not a multiple of
Options: a. 99, b. 84, c. 72, d. 65, e. 51
Output: e
Problem: if 12 machine can finish a job in 40 days, then how many more machines would be needed to finish the job in one - fourth less time ?
Options: a. a. 4, b. b. 8, c. c. 10, d. d. 12, e. e. 16
Output: a
Problem: following an increase in prices, the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds. if the price of a candy box was raised by 25 %, and the price of a can of soda was raised by 50 %. what was the price of a box of candy plus a can of soda before prices were raised ?
Options: a. 11., b. 20., c. 13., d. 14., e. 14.5
Output: b
Problem: a rectangular farm has to be fenced one long side, one short side and the diagonal. if the cost of fencing is rs. 14 per meter. the area of farm is 1200 m 2 and the short side is 30 m long. how much would the job cost ?
Options: a. 1276, b. 1680, c. 2832, d. 1299, e. 1236
Output: b
Problem:. a car covers a distance of 810 km in 5 hours. find its speed ?
Options: a. 104, b. 55, c. 162, d. 174, e. 2761
Output: c
Problem: the compounded ratio of ( 2: 3 ), ( 6: 11 ) and ( 11: 2 ) is
Options: a. 2: 0, b. 2: 1, c. 2: 9, d. 2: 2, e. 2: 5
Output: b
Problem: in a photography exhibition, some photographs were taken by octavia the photographer, and some photographs were framed by jack the framer. jack had framed 24 photographs taken by octavia, and 12 photographs taken by other photographers. if 36 of the photographs in the exhibition were taken by octavia, how many photographs were either framed by jack or taken by octavia ?
Options: a. 36, b. 48, c. 72, d. 96, e. 108
Output: b
Problem: a train 360 m long is running at a speed of 45 kmph. in what time will it pass a bridge 140 m long ?
Options: a. 40 sec, b. 42 sec, c. 45 sec, d. 48 sec, e. 49 sec
Output: a
Problem: what is value of ( p + q ) / ( p - q ) if p / q = 7 ?
Options: a. 1 / 3, b. 2 / 3, c. 4 / 3, d. 5 / 3, e. none of these
Output: c
Problem: find the area of a cuboid of length 8 cm, breadth 6 cm. and height 9 cm.
Options: a. 400 cm cube, b. 410 cm cube, c. 420 cm cube, d. 432 cm cube, e. 480 cm cube
Output: d
Problem: if | 5 x - 20 | = 100, then find the sum of the values of x ?
Options: a. 1, b. - 2, c. 8, d. - 3, e. 4
Output: c
Problem: a windmill is taking advantage of strong air currents in order to produce electrical energy. on a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw / h ( kilowatts per hour ). on a stormy day a windmill produces 20 % more energy. how much kw / h can 3 windmills produce in two hours on a stormy day ?
Options: a. 2880., b. 4860., c. 5780, d. 5760, e. 6380.
Output: a
Problem: john has 10 pairs of matched socks. if he loses 13 individual socks, what is the greatest number of pairs of matched socks he can have left ?
Options: a. 7, b. 3, c. 5, d. 4, e. 1
Output: b
Problem: arjun started a business with rs. 20,000 and is joined afterwards by anoop with rs. 30, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
Output: b
Problem: the points a ( 0, 0 ), b ( 0, 4 a - 5 ) and c ( 2 a + 1, 2 a + 5 ) form a triangle. if angle abc = 90, what is the area of triangle abc ?
Options: a. 80, b. 82.5, c. 78.5, d. 75.5, e. 74
Output: b
Problem: ramesh purchased a refrigerator for rs. 12500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 18 % if no discount was offered ?
Options: a. 17608, b. 17606, c. 17604, d. 17600, e. 18880
Output: e
Problem: a hall is 15 meters long and 15 meters wide. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall ( in cubic meters ) ?
Options: a. 975.5, b. 1250.5, c. 1465.5, d. 1687.5, e. 1824.5
Output: d
Problem: what is the total surface area in square meters of a rectangular solid whose length is 9 meters, width is 8 meters, and depth is 5 meters ?
Options: a. 152 m 2, b. 162 m 2, c. 180 m 2, d. 300 m 2, e. 314 m 2
Output: e
Problem: how many multiples of 7 are there between 10 and 100 ( both are inclusive. ?
Options: a. 11, b. 13, c. 15, d. 17, e. 21
Output: b
Problem: a car traveling at a certain constant speed takes 4 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour. at what speed, in km / hr, is the car traveling ?
Options: a. 70, b. 72, c. 74, d. 75, e. 78
Output: c
Problem: a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 12500 after a year ?
Options: a. 3630, b. 2881, c. 2887, d. 3750, e. 2212
Output: d
Problem: two numbers are in the ratio of 2: 3. if 20 be subtracted from each, they are in the ratio of 10: 17. find the numbers ?
Options: a. 70,105, b. 60,88, c. 80,120, d. 60,84, e. 60,81
Output: a
Problem: a student needs 30 % of the marks on a test to pass the test. if the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.
Options: a. 400, b. 600, c. 800, d. 1000, e. 1200
Output: b
Problem: to asphalt 1 km road, 30 men spent 12 days working 8 hours per day. how many days, 20 men will spend to asphalt a road of 2 km working 8 hours a day ?
Options: a. 40, b. 36, c. 42, d. 44, e. 46
Output: b
Problem: if x and j are integers and 2 x – j = 11, then 4 x + j can not be
Options: a. – 5, b. 1, c. 13, d. 17, e. 551
Output: d
Problem: 15.06 * 0.001 = ?
Options: a. 15060000, b. 0.001506, c. 0.01506, d. 0.1506, e. none of these
Output: c
Problem: 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 48 inches. find b.
Options: a. 8, b. 16, c. 24, d. 32, e. 48
Output: b
Problem: an investment yields an interest payment of $ 228 each month. if the simple annual interest rate is 9 %, what is the amount of the investment ?
Options: a. $ 28,300, b. $ 30,400, c. $ 31,300, d. $ 32,500, e. $ 35,100
Output: b
Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 24 % 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. 13.2 %, c. 15 %, d. 22 %, e. 30 %
Output: b
Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 45. he was allowed to drop his lowest score. after doing so, his average test score improved to 50. what is the lowest test score that was dropped ?
Options: a. 20, b. 30, c. 55, d. 65, e. 80
Output: b
Problem: if y > 0, ( 4 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
Options: a. 40 %, b. 50 %, c. 60 %, d. 70 %, e. 80 %
Output: b
Problem: in how many years rs 100 will produce the same interest at 5 % as rs. 600 produce in 4 years at 10 %
Options: a. 44, b. 52, c. 50, d. 46, e. 48
Output: e
Problem: in the number 10,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 55, what is the greatest possible value of b × a ?
Options: a. 0, b. 5, c. 10, d. 15, e. 25
Output: d
Problem: a clock shows the time as 7 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p. m. ?
Options: a. 45 minutes, b. 55 minutes, c. 35 minutes, d. 25 minutes, e. 40 minutes
Output: b
Problem: if mn ≠ 0 and 25 percent of n equals 37 1 / 2 percent of m, what is the value of 12 n / m ?
Options: a. 18, b. 323323, c. 8, d. 3, e. 98
Output: a
Problem: if the cost price of 18 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes ?
Options: a. 20 % loss, b. 12.5 % profit, c. 33.33 % loss, d. 30.33 % loss, e. none of these
Output: b
Problem: the average age of 15 students of a class is 16 years. out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. tee age of the 15 th student is ?
Options: a. 22 years, b. 24 years, c. 26 years, d. 28 years, e. 30 years
Output: c
Problem: if the length of an edge of cube p is thrice the length of an edge of cube q, what is the ratio of the volume of cube q to the volume of cube p ?
Options: ['a. 1 / 4', 'b. 1 / 5', 'c. 1 / 6', 'd. 1 / 27', 'e. 1 / 9']
Output: d
Problem: si on a certain sum of money for 3 yrs at 8 percent / annum is 1 / 2 the ci on rs. 4000 for 2 yrs at 10 percent / annum. the sum placed on si is ?
Options: a. rs. 1700, b. rs. 1720, c. rs. 1750, d. rs. 1850, e. rs. 2000
Output: c
Problem: bag a contains red, white and blue marbles such that the red to white marble ratio is 1: 3 and the white to blue marble ratio is 2: 3. bag b contains red and white marbles in the ratio of 1: 4. together, the two bags contain 22 white marbles. how many red marbles could be in bag a ?
Options: a. 1, b. 3, c. 4, d. 2, e. 8
Output: d
Problem: what is the sum of the first 23 natural numbers ( starting from 1 ) ?
Options: a. 256, b. 266, c. 276, d. 286, e. 296
Output: c
Problem: in a garden, 26 trees are planted at equal distances along a yard 700 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees ?
Options: a. 10, b. 28, c. 12, d. 14, e. 16
Output: b
Problem: a, b and c started a business with a total investment of rs. 72000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find b ' s share.
Options: a. rs. 3240, b. rs. 2520, c. rs. 2880, d. rs. 3360, e. none of these
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 20 % ?
Options: a. 33 %, b. 44 %, c. 55 %, d. 56 %, e. 73 %
Output: b
Problem: two pipes a and b can separately fill a tank in 12 and 15 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 15 minutes. what is the capacity of the tank ?
Options: a. 399, b. 540, c. 772, d. 272, e. 121
Output: b
Problem: what is the diagonal of a square field whose perimeter is 64 m ?
Options: a. 15 m, b. 16 √ 2 m, c. 20 m, d. 25 m, e. 18 m
Output: b
Problem: the difference between simple interest and compound interest on rs. 1400 for one year at 20 % per annum reckoned half - yearly is :
Options: a. $ 185.63, b. $ 852.36, c. $ 875.5, d. $ 989.9, e. $ 875.8
Output: d
Problem: a semicircular shaped window has diameter of 63 cm. its perimeter equals
Options: ['a. 162', 'b. 766', 'c. 298', 'd. 277', 'e. 198']
Output: a
Problem: by selling 100 pens, a trader gains the cost of 30 pens. find his gain percentage ?
Options: a. 30 %, b. 33 %, c. 31 %, d. 32 %, e. 34 %
Output: a
Problem: out of 3 consecutive odd numbers 11 times the first number is equal to addition of thrice the third number and adding 16 to 4 times the second. what is the first number ?
Options: a. 5, b. 6, c. 7, d. 8, e. 9
Output: e
Problem: working together at their respective constant rates, machine a and machine b can produce 1600 units in 8 hours. working alone, machine b would complete that same output in 50 % more time. if machine a were to work on its own for an 8 - hour shift, what percent of the 1600 unit total would it produce ?
Options: a. 25, b. 33, c. 50, d. 67, e. 75
Output: b
Problem: according to the formula f = 9 / 5 ( c. + 32, if the temperature in degrees farenheit ( f ) increases by 26, by how much does the temperature in degrees celsius ( c. increase ?
Options: a. 9, b. 14.44, c. 47, d. 48 3 / 5, e. 59
Output: b
Problem: if price of t. v set is reduced by 20 %, then its sale increases by 80 %, find net effect on sale value
Options: a. 44, b. 45, c. 46, d. 47, e. 48
Output: a
Problem: 9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner ' s rate. how far apart, to the nearest mile, will they be after 1 / 2 hour ?
Options: a. 6, b. 7, c. 8, d. 12, e. 9
Output: e
Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average of the team ?
Options: a. 23, b. 25, c. 30, d. 22, e. 40
Output: a
Problem: tom and marry each have a bag of marbles, each of which contains 4 red marbles, 10 blue marbles, and 6 yellow marbles. if tom and marry each select one marble from their respective bags, what is the probability that either tom or marry select a blue marble ?
Options: a. 1 / 7, b. 2 / 4, c. 3 / 4, d. 1 / 8, e. 1 / 16
Output: c
Problem: if 7 cats can kill 7 rats in 7 minutes, how long will it take 100 cats to kill 100 rats ?
Options: a. 5 minutes, b. 6 minutes, c. 7 minutes, d. 8 minutes, e. 9 minutes
Output: c
Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 250 - pack for $ 20.95. what is the greatest number of hot dogs you can buy at this store with $ 300 ?
Options: a. 3,108, b. 3,100, c. 3,108, d. 3,540, e. 3,256
Output: d
Problem: a person spends 1 / 3 rd of the money with him on clothes, 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel. now, he is left with rs 200. how much did he have with him in the beginning ?
Options: a. s 200, b. s 500, c. s 300, d. s 450, e. s 550
Output: b
Problem: the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount. but somehow the customer managed to purchase only 76 % of the required amount. what is the net difference in the expenditure on that product ?
Options: a. 12.5 %, b. 13 %, c. 5 %, d. 17 %, e. 19 %
Output: c
Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers, what is the probability r that n is divisible by 3 ?
Options: a. 1 / 3, b. ¼, c. 9 / 25, d. 5 / 16, e. 0
Output: d
Problem: 0 - - -: - | - - -: - - | -: - -: - | - -: - - - | -: - - - - 1 on the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. what is the least possible distance x between any two of the tick marks ?
Options: a. 1 / 70, b. 1 / 35, c. 2 / 35, d. 1 / 12, e. 1 / 7
Output: b
Problem: find the area of a parallelogram with base 21 cm and height 11 cm ?
Options: a. 231 cm 2, b. 384 cm 2, c. 672 cm 2, d. 267 cm 2, e. 286 cm 2
Output: a
Problem: a cycle is bought for rs. 1120 and sold for rs. 1200, find the gain percent ?
Options: a. 7 %, b. 2 %, c. 6 %, d. 1 %, e. 8 %
Output: a
Problem: a trader bought a car at 20 % discount on its original price. he sold it at a 70 % increase on the price he bought it. what percent of profit did he make on the original price ?
Options: a. 17 %, b. 72 %, c. 12 %, d. 82 %, e. 36 %
Output: e
Problem: a boat having a length 9 m and breadth 3 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :
Options: a. 100 kg, b. 120 kg, c. 189 kg, d. 180 kg, e. 270 kg
Output: e
Problem: what annual payment will discharge a debt of rs. 1030 due in 2 years at the rate of 5 % compound interest ?
Options: a. 553.94, b. 551.25, c. 534.33, d. 543.33, e. 646.33
Output: a
Problem: in a factory, there are 90 % technicians and 10 % non - technicians. if the 90 % of the technicians and 10 % of non - technicians are permanent employees, then the percentage of workers who are temporary is ?
Options: a. 62 %, b. 57 %, c. 52 %, d. 82 %, e. 42 %
Output: d
Problem: how many seconds will a 450 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 60 km / hr ?
Options: a. 25, b. 30, c. 40, d. 45, e. 60
Output: b
Problem: of the total amount that jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 20 percent on food, and 20 percent on other items. if jill paid a 10 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes ?
Options: a. 10, b. 20, c. 30, d. 25, e. 15
Output: a
Problem: 90 kg of an alloy a is mixed with 140 kg of alloy b. if alloy a has lead and tin in the ratio 3: 4 and alloy b has tin and copper in the ratio 2: 5, then the amount of tin in the new alloy is ?
Options: a. 100.6 kg, b. 95.4 kg, c. 117.5 kg, d. 91.4 kg, e. 92 kg
Output: d
Problem: a rectangular garden is to be twice as long as it is wide. if 180 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards ?
Options: a. 60, b. 70, c. 80, d. 90, e. 100
Output: a
Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.6 ?
Options: a. − 0.3, b. 0, c. 0.3, d. 1.08, e. 2.46
Output: c