Cheukting/mathqa huggingface dataset:
Question (general): a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 2013 , what is the value of n ?
Options: a ) 22 , b ) 38 , c ) 62 , d ) 122 , e ) 672
Rationale: "same logic but with application of factorials . 2 * 4 * 6 * 8 * . . . * n = 2 ( 1 * 2 * 3 * 4 * . . . n / 2 ) = 2 * ( n / 2 ) ! now we have : 2 * ( n / 2 ) ! / 2013 = 2 * ( n / 2 ) ! / ( 3 × 11 × 61 ) for the expression 2 * ( n / 2 ) ! to be divisible by 2013 min value of n / 2 should be 61 . so n / 2 = 61 = > n = 122 answer d ."
Answer: d
Question (physics): billy worked for 3 straight hours on his homework questions . if he solved 132 questions in the third hour , which was twice as many as he solved in the second hour , and 3 times as many questions as he solved in the first hour , how many questions did he solve total ?
Options: a ) 242 , b ) 312 , c ) 424 , d ) 525 , e ) 622
Rationale: total questions solved = questions solved in 3 rd hr + in 2 nd hr + in 1 st hr 132 + 132 / 2 + 132 / 3 = 242 a is the answer
Answer: a
Question (general): if e = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x is between
Options: a ) 0 and 3 , b ) 3 and 6 , c ) 6 and 9 , d ) 9 and 12 , e ) 12 and 15
Rationale: my attempt : if e = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x would be when y is minimum . let y ^ 4 be 0 . now x ^ 4 = 100 . x should be definitely greater than 3 but less than 4 . the only option that fits this range is b hence answer is - - b ) 3 and 6 .
Answer: b
Question (gain): a man buys an item at rs . 750 and sells it at the loss of 10 percent . then what is the selling price of that item
Options: a ) rs . 660 , b ) rs . 675 , c ) rs . 860 , d ) rs . 960 , e ) none of these
Rationale: "explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 90 % of 750 = 90 / 100 * 750 = 675 option b"
Answer: b
Question (general): what is the remainder when 7 ^ 74 - 5 ^ 74 is divided by 2 ?
Options: a ) 5 , b ) 1 , c ) 2 , d ) 3 , e ) none of these
Rationale: "easiest way for me : 7 ^ 74 - 5 ^ 74 = ( 49 ) ^ 37 - 25 ^ 37 = ( 24 * 2 + 1 ) ^ 37 - ( 24 + 1 ) ^ 37 - > remainder is 1 ^ 37 - 1 ^ 37 = 0 ans : e"
Answer: e
Question (general): the average of 13 numbers is 60 . average of the first 7 of them is 55 and that of the last 7 is 61 . find the 8 th number ?
Options: a ) 32 , b ) 83 , c ) 45 , d ) 53 , e ) 64
Rationale: "sum of all the 13 numbers = 13 * 60 = 780 sum of the first 7 of them = 7 * 55 = 385 sum of the last 7 of them = 7 * 61 = 427 so , the 8 th number = 427 + 385 - 780 = 32 . answer : a"
Answer: a
Question (general): how many two - digit numbers yield a remainder of 1 when divided by both 6 and 15 ?
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Rationale: "easier to start with numbers that are of the form 15 p + 1 - - - > 16,31 , 46,61 , 76,91 . out of these 2 ( 31,61 ) are also of the form 6 q + 1 . thus 2 is the answer . c is the correct answer ."
Answer: c
Question (general): for what value of â € œ k â €  will the equation ( 2 kx 2 + 3 kx + 2 ) = 0 have equal roots ?
Options: a ) 2 / 7 , b ) 9 / 4 , c ) 16 / 25 , d ) 7 / 1 , e ) 16 / 9
Rationale: for a 2 nd degree equation ax 2 + bx _ c = 0 has equal roots the condition is b 2 - 4 ac = 0 in the given equation ( 3 k ) ^ 2 - 4 * 2 k * 2 = 0 by solving this equation we get k = 0 , k = 16 / 9 answer : e
Answer: e
Question (physics): if 9 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?
Options: a ) 80 , b ) 63 , c ) 120 , d ) 1008 , e ) 1260
Rationale: "parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 9 c 2 for vertical 8 c 2 total parallelogram is 9 c 2 * 8 c 2 = 36 * 28 = 1008 answer : d"
Answer: d
Question (general): entry fee in an examination was re . 1 . later , this was reduced by 25 % which increased the sale by 20 % . the percentage increase in the number of visitors is
Options: a ) 60 , b ) 50 , c ) 66 , d ) 54 , e ) none
Rationale: sol . let the total original sale be rs . 100 . then , original number of visitors = 100 . new number of visitors = 120 / 0.75 = 160 . ∴ increase % = 60 % . answer a
Answer: a
Question (physics): a , b and c can do a piece of work in 7 days , 21 days and 28 days respectively . how long will they taken , if all the three work together ?
Options: a ) 2 , b ) 4 8 / 19 , c ) 5 , d ) 67 , e ) 9
Rationale: "1 / 7 + 1 / 21 + 1 / 28 = 19 / 84 = > 84 / 19 = > 4 8 / 19 days answer : b"
Answer: b
Question (gain): a retailer bought a machine at a wholesale price of $ 126 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 of the machine ?
Options: a ) 81 , b ) 100 , c ) 120 , d ) 135 , e ) 168
Rationale: my solution : wholesale price = 126 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 126 + 1 / 5 ( 126 ) x = 168 ; answer : e
Answer: e
Question (general): if rs . 10 be allowed as true discount on a bill of rs . 110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is
Options: a ) 18.20 , b ) 18.33 , c ) 18 , d ) 18.3 , e ) none of these
Rationale: "explanation : present worth = amount - truediscount = 110 - 10 = rs . 100 si on rs . 100 for a certain time = rs . 10 si on rs . 100 for doube the time = rs . 20 truediscount on rs . 120 = 120 - 100 = rs . 20 truediscount on rs . 110 = ( 110 x 20 / 120 ) = rs . 18.33 answer : b"
Answer: b
Question (general): the grade point average of the entire class is 85 . if the average of one third of the class is 97 , what is the average of the rest of the class ?
Options: a ) 76 , b ) 77 , c ) 78 , d ) 79 , e ) 80
Rationale: "let x be the number of students in the class . let p be the average of the rest of the class . 85 x = ( 1 / 3 ) 97 x + ( 2 / 3 ) ( p ) x 255 = 97 + 2 p 2 p = 158 p = 79 . the answer is d ."
Answer: d
Question (physics): the diameter of a wheel is 0.7 m . how far will it travel in 200 revolutions
Options: a ) 4.4 m , b ) 220 m , c ) 440 m , d ) 560 , e ) 650
Rationale: diameter ( d ) = 0.7 m circumference of the wheel , = 2 * pi * r = d * pi = 0.7 * 3.14 = 2.198 m . in one revolution , wheel will covered = 2.198 m , so , in 200 revolution , it will cover = 200 * 2.198 = 4.396 m = 440 m ( approx ) . answer : option c
Answer: c
Question (general): keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 35 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ?
Options: a ) 45 % , b ) 65 % , c ) 85 % , d ) 115 % , e ) 125 %
Rationale: "let x be the number of new biographies added to the library . let b be the original number of biographies , so the original number of books was 5 b . 0.35 ( 5 b + x ) = b + x 0.75 b = 0.65 x x = 1.15 b the answer is d ."
Answer: d
Question (other): two 6 faced dice are thrown together . the probability that both show the same number on them is ?
Options: a ) 1 / 6 , b ) 1 / 12 , c ) 1 / 18 , d ) 1 / 2 , e ) 1 / 4
Rationale: "it all 3 numbers have to be same basically we want doublets . 11 , 22 , 33 , 44 , 55 and 66 . those are six in number . further the three dice can fall in 6 * 6 = 36 ways . hence the probability is 6 / 36 = 1 / 6 answer : a"
Answer: a
Question (geometry): what is the area of square field whose side of length 16 m ?
Options: a ) 225 , b ) 777 , c ) 256 , d ) 288 , e ) 261
Rationale: "16 * 16 = 256 sq m answer : c"
Answer: c
Question (general): if the average marks of 3 batches of 40 , 50 and 60 students respectively is 45 , 55 , 65 , what is the average marks of all the students ?
Options: a ) 56.33 , b ) 34.89 , c ) 23.67 , d ) 54.65 , e ) 43.98
Rationale: average marks of batch 1 = 45 students in batch 1 = 40 total marks of batch 1 = 40 * 45 average marks of batch 2 = 55 students in batch 2 = 50 total marks of batch 2 = 50 × 55 average marks of batch 3 = 65 students in batch 3 = 60 total marks of batch 3 = 65 × 60 total students = 40 + 60 + 50 = 150 average marks of all the students = ( ( 40 * 45 ) + ( 50 × 55 ) + ( 65 × 60 ) ) / 150 = 169 / 3 = 56.333 answer is a .
Answer: a
Question (other): in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 10 per kg so that cost of mixture is rs . 12 per kg ?
Options: a ) 2 : 3 , b ) 5 : 8 , c ) 5 : 6 , d ) 3 : 4 , e ) 1 : 2
Rationale: "( 12 - 10 ) / ( 16 - 12 ) = 2 / 4 = 1 : 2 answer : e"
Answer: e
Question (general): in a bus left side are 15 seats available , 3 few seats in right side because in rear exit door . each seat hold 3 people . in addition , there is a seat back can sit 10 people all together . how many people can sit in a bus ?
Options: a ) 52 , b ) 49 , c ) 91 , d ) 88 , e ) 66
Rationale: right side = 15 seat left side = 15 - 3 ( 3 few seat in right side ) = 12 seat total = 15 + 12 = 27 people can seat in 27 seat = 27 * 3 = 81 people can seat in last seat = 10 total people can seat = 81 + 10 = 91 answer : c
Answer: c
Question (general): if 4 < x < 8 < y < 12 , then what is the greatest possible positive integer difference of x and y ?
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Rationale: "let x = 4.1 and y = 11.1 greatest possible difference = 11.1 - 4.1 = 7 answer e"
Answer: e
Question (general): the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 70 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam .
Options: a ) 22 , b ) 10 , c ) 25 , d ) 99 , e ) 21
Rationale: "let the number of students who wrote the exam be x . total marks of students = 80 x . total marks of ( x - 5 ) students = 90 ( x - 5 ) 80 x - ( 5 * 70 ) = 90 ( x - 5 ) 100 = 10 x = > x = 10 . answer : b"
Answer: b
Question (gain): what annual payment will discharge a debt of rs . 6450 due in 4 years at 5 % per annum ?
Options: a ) 1500 , b ) 1400 , c ) 1700 , d ) 1800 , e ) 1600
Rationale: "explanation : he amount needs to be repaid in 4 years = rs . 6450 suppose rs . x is paid annually to repay this debt then , amount paid after 1 st year = rs . x interest for this rs . x for the remaining 3 years = x × 5 × 3 / 100 = 15 x / 100 then , amount paid after 2 nd year = rs . x interest for this rs . x for the remaining 2 years = x × 5 × 2 / 100 = 10 x / 100 amount paid after 3 rd year = rs . x interest for this rs . x for the remaining 1 year = x × 5 × 1 / 100 = 5 x / 100 amount paid after 4 th year = rs . x and this closes the entire debt = > x + 15 x / 100 + x + 10 x / 100 + x + 5 x / 100 + x = 6450 = > 4 x + 30 x / 100 = 6450 = > 4 x + 3 x / 10 = 6450 = > 40 x + 3 x = 64500 = > 43 x = 64500 = > x = 1500 answer : option a"
Answer: a
Question (general): in township k each property is taxed at 8 percent of its assessed value . if the assessed value of a property in township k is increased from $ 18,000 to $ 28,000 , by how much will the property tax increase ?
Options: a ) $ 320 , b ) $ 800 , c ) $ 320 , d ) $ 600 , e ) $ 850
Rationale: "increase in house value = $ 28,000 - $ 18,000 = $ 10000 so , tax increase = 8 % of $ 10000 = $ 800 answer : b"
Answer: b
Question (gain): at a special sale , 8 tickets can be purchased for the price of 6 tickets . if 8 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 8 tickets ?
Options: a ) 25 % , b ) 33.3 % , c ) 40 % , d ) 60 % , e ) 66.6 %
Rationale: "let the price of a ticket be rs . 100 , so 6 tickets cost 600 & 8 tickets cost 800 8 tickets purchased at price of 6 tickets ie . , for 600 , so amount saved s rs . 200 , % of 6 tickets = ( 200 / 800 ) * 100 = 25 % answer : a"
Answer: a
Question (general): when y is divided by 276 , the remainder is 44 . what is the remainder when the same y is divided by 23 ?
Options: a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23
Rationale: "y = 276 * a + 44 = ( 23 * 12 ) * a + 23 + 21 the answer is c ."
Answer: c
Question (general): the cricket team of 11 members is 29 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ?
Options: a ) 21 , b ) 22 , c ) 23 , d ) 26 , e ) 28
Rationale: "let the average age of the whole team be x years . 11 x - ( 29 + 32 ) = 9 ( x - 1 ) = > 11 x - 9 x = 52 = > 2 x = 52 = > x = 26 . so , average age of the team is 26 years . d"
Answer: d
Question (general): what is the greater of the two numbers whose product is 2560 , given that the sum of the two numbers exceeds their difference by 64 ?
Options: a ) 90 , b ) 100 , c ) 110 , d ) 70 , e ) none of these
Rationale: let the greater and the smaller number be g and s respectively . gs = 2560 g + s exceeds g - s by 64 i . e . , g + s - ( g - s ) = 64 i . e . , 2 s = 64 = > s = 32 . g = 2560 / s = 80 . answer : e
Answer: e
Question (physics): a cistern which could be filled in 5 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?
Options: a ) 76 hrs , b ) 99 hrs , c ) 55 hrs , d ) 90 hrs , e ) 10 hrs
Rationale: "1 / 5 - 1 / x = 1 / 10 = > 10 hrs answer : e"
Answer: e
Question (physics): excluding stoppages , the speed of a train is 60 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?
Options: a ) a ) 12 , b ) b ) 18 , c ) c ) 24 , d ) d ) 30 , e ) e ) 36
Rationale: "explanation : t = 24 / 60 * 60 = 24 answer : option c"
Answer: c
Question (general): find value for x from below equation ? x + 1 = 3
Options: a ) - 5 , b ) - 4 , c ) 4 , d ) 3 , e ) 2
Rationale: "1 . subtract 1 from both sides : x + 1 - 1 = 3 - 1 2 . simplify both sides : x = 2 e"
Answer: e
Question (physics): the angle between the minute hand and the hour hand of a clock when the time is 12.30 , is
Options: a ) 35 ° , b ) 65 ° , c ) 45 ° , d ) 195 ° , e ) 95 °
Rationale: "angle between hands of a clock when the minute hand is behind the hour hand , the angle between the two hands at m minutes past h ' o clock = 30 ( h − m / 5 ) + m / 2 degree when the minute hand is ahead of the hour hand , the angle between the two hands at m minutes past h ' o clock = 30 ( m / 5 − h ) − m / 2 degree here h = 12 , m = 30 and minute hand is behind the hour hand . hence the angle = 30 ( h − m / 5 ) + m / 2 = 30 ( 12 − 30 / 5 ) + 30 / 2 = 30 ( 12 − 6 ) + 15 = 30 × 6 + 15 = 195 ° answer is d ."
Answer: d
Question (general): jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 32 years old , and she stopped baby - sitting 12 years ago . what is the current age of the oldest person for whom jane could have baby - sat ?
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Rationale: "check two extreme cases : jane = 18 , child = 9 , years ago = 32 - 18 = 14 - - > child ' s age now = 9 + 14 = 23 ; jane = 20 , child = 10 , years ago = 32 - 20 = 12 - - > child ' s age now = 10 + 12 = 22 . answer : d ."
Answer: d
Question (general): what is the remainder of r = 3 ^ 19 when divided by 10 ?
Options: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9
Rationale: "i looked for patterns : ^ 2 - units digit 9 ^ 3 - units digit 7 ^ 4 - units digit 1 ^ 5 - units digit 3 hence , we can see that when raised to a power which is multiple of 4 , the units digit is 1 , and when to an even power not multiple of 4 , the units digit is 9 and we can then see : ^ 16 - units digit 1 , or ^ 18 - units digit 9 and ^ 19 - units digit 7 therefore , r = when divided by 10 , the remainder must be 7 . d"
Answer: d
Question (gain): john makes $ 30 a week from his job . he earns a raise andnow makes $ 40 a week . what is the % increase ?
Options: a ) 16 % , b ) 33.33 % , c ) 33.69 % , d ) 33.98 % , e ) 37 %
Rationale: "increase = ( 10 / 30 ) * 100 = ( 1 / 3 ) * 100 = 33.33 % . b"
Answer: b
Question (general): line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 8 ) and ( 6 , - 4 ) . what is the slope of line m ?
Options: a ) - 3 , b ) - 1 , c ) - 1 / 3 , d ) 0 , e ) 1
Rationale: "the midpoint of ( 2,8 ) and ( 6 , - 4 ) is ( 4,2 ) . the slope of a line through ( 0 , - 2 ) and ( 4,2 ) is ( 2 - ( - 2 ) ) / ( 4 - 0 ) = 4 / 4 = 1 the answer is e ."
Answer: e
Question (general): the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years b in which the population would be doubled assuming there is no emigration or immigration is
Options: a ) 20 , b ) 25 , c ) b = 30 , d ) b = 35 , e ) b = 40
Rationale: "suppose the population of the country in current year is 1000 . so annual increase is 1000 + 39.4 - 19.4 = 1020 hence every year there is an increase of 2 % . 2000 = 1000 ( 1 + ( 2 / 100 ) ) ^ n n = 35 answer is d ."
Answer: d
Question (physics): if 36 men can do a piece of work in 5 hours , in how many hours will 15 men do it ?
Options: a ) 12 , b ) 38 , c ) 60 , d ) 88 , e ) 72
Rationale: "explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \ inline \ fn _ jvn \ therefore 15 : 36 : : 5 : x \ inline \ fn _ jvn \ leftrightarrow ( 15 x x ) = ( 36 x 5 ) \ inline \ fn _ jvn \ leftrightarrow \ inline \ fn _ jvn x = \ frac { 36 \ times 5 } { 15 } = 12 hence , 15 men can do it in 12 hours . answer : a ) 12"
Answer: a
Question (gain): in business , a and c invested amounts in the ratio 4 : 2 , whereas the ratio between amounts invested by a and b was 4 : 1 , if rs 20,000 was their profit , how much amount did a receive .
Options: a ) 13333 , b ) 26758 , c ) 45896 , d ) 14639 , e ) 89576
Rationale: "explanation : a : b = 4 : 1 = 4 : 1 = > a : c = 4 : 2 = 4 : 2 = > a : b : c = 4 : 1 : 2 a share = ( 4 / 6 ) * 20000 = 13333 option a"
Answer: a
Question (general): if the average of 10 consecutive integers is 24.5 then the 10 th integer is : -
Options: a ) 15 , b ) 20 , c ) 23 , d ) 29 , e ) 25
Rationale: "the average falls between the 5 th and 6 th integers , integer 5 = 24 , integer 6 = 25 . counting up to the tenth integer we get 29 . answer : d"
Answer: d
Question (probability): the letters o , l and t are rearranged to form the word ' lot ' . find its probability .
Options: a ) 1 / 18 , b ) 1 / 12 , c ) 1 / 4 , d ) 1 / 8 , e ) 1 / 6
Rationale: explanation : there are total 3 letters . the probability that o gets the first position is 1 / 3 . likewise , probability for l and t are 1 / 2 and 1 / 1 . hence , the required probability is : - = > ( 1 / 3 ) x ( 1 / 2 ) x 1 . = > 1 / 6 . answer : e
Answer: e
Question (general): the product of two numbers is 168 and the sum of their squares is 289 . the sum of the number is ?
Options: a ) a ) 23 , b ) b ) 25 , c ) c ) 27 , d ) d ) 31 , e ) e ) 35
Rationale: "let the numbers be x and y . then , xy = 168 and x 2 + y 2 = 289 . ( x + y ) 2 = x 2 + y 2 + 2 xy = 289 + ( 2 x 168 ) = 625 x + y = 25 . option b"
Answer: b
Question (general): 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 64 , how many questions did student a answer correctly ?
Options: a ) 55 , b ) 60 , c ) 73 , d ) 82 , e ) 88
Rationale: "let the number of correct responses be x then the number of incorrect responses = 100 - x according to question x - 2 ( 100 - x ) = 64 ( subtracting twice of incorrect from correct ) 3 x = 264 x = 88 answer : e"
Answer: e
Question (general): on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 2 ?
Options: a ) 40 , b ) 50 , c ) 10 ^ 4 , d ) 10 ^ 5 , e ) 10 ^ 6
Rationale: "if richter scale reading goes from x - 1 to x it will be 10 if richter scale reading goes from 2 to 3 it will be 10 if richter scale reading goes from 3 to 4 it will be 10 if richter scale reading goes from 4 to 5 it will be 10 if richter scale reading goes from 5 to 6 it will be 10 similarly if richter scale reading goes from 6 to 7 it will be 10 so it will from 2 to 7 i . e 3 , 4,5 , 6,7 = 10 * 10 * 10 * 10 * 10 = 10 ^ 5 answer is d"
Answer: d
Question (general): a wildlife preserve is being planned for 8000 rhinoceroses . the preserve is to contain a total of 10000 acres of watering area , plus 100 acres of grazing area for each rhinoceros . if the number of rhinoceroses is expected to increase by 10 percent , how many 1000 acres should the preserve have in order to provide for the increased population ?
Options: a ) 340 , b ) 330 , c ) 320 , d ) 310 , e ) 890
Rationale: number of rhinos = 8000 watering area = 10,000 acres number of rhino to increase by 10 percent , then number of rhino = 8800 grazing area for a rhino = 100 total grazing area for 8800 rhinos = 8800 * 100 = 8 , 80,000 total area required for the wildlife preserve = 8 , 80,000 + 10,000 = 8 , 90,000 = 890 * 1000 answer e
Answer: e
Question (other): at a certain organisation , the number of male members went up by 14 % 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 ) 4 : 7
Rationale: "men increase by 14 % = = > 1.14 m = males in 2001 women decrease by 6 % = = > 0.94 f = women in 2001 total employees increase by 1.2 % = = > 1.012 * ( m + f ) = total number of employees in 2001 obviously ( males in 2001 ) + ( females in 2001 ) = total number of employees in 2001 1.14 m + 0.94 f = 1.012 * ( m + f ) 1.14 m + 0.94 f = 1.012 m + 1.012 f 1.14 m - 1.012 m = 1.012 f - 0.94 f 0.128 m = 0.072 f m / f = ( 0.072 ) / ( 0.128 ) = 72 / 128 = 4 / 7 answer = ( e )"
Answer: e
Question (physics): 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 50 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the distance traveled by maxwell when they meet in the middle ?
Options: a ) 16 , b ) 18 , c ) 20 , d ) 24 , e ) 30
Rationale: "distance between maxwell ' s and brad ' s home = 50 km maxwell ' s speed = 4 km / h brad ' s speed = 6 km / h relative speed of approach = 10 km / h time = 50 / 10 = 5 hours distance traveled by maxwell when they meet in the middle = 4 * 5 = 20 km answer c"
Answer: c
Question (general): a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b , but does have to pay a 10 percent tax on the portion of the total value that is in excess of $ 600 . what tax must be paid by a tourist if he buys goods with a total value of $ 1720 ?
Options: a ) $ 112.00 , b ) $ 64.80 , c ) $ 90.00 , d ) $ 100.80 , e ) $ 154.80
Rationale: "correct answer : a the tourist must pay tax on $ 1720 - $ 600 = $ 1120 . thus , the amount of tax he has to pay is 0.1 ( $ 1120 ) = $ 112 . the correct answer is a ."
Answer: a
Question (general): a man is 37 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is
Options: a ) 78 years , b ) 22 years , c ) 88 years , d ) 35 years , e ) 65 years
Rationale: "let ' s son age is x , then father age is x + 37 . = > 2 ( x + 2 ) = ( x + 37 + 2 ) = > 2 x + 4 = x + 39 = > x = 35 years answer : d"
Answer: d