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Question: 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 ?
A.30 days.
B.12 days.
C.6 days.
D.7 days.
e ) 8 daysA.
"b + c 1 day work = 1 / 9 + 1 / 12 = 7 / 36 work done by b and c in 3 days = 7 / 36 * 3 = 7 / 12 remaining work = 1 - 7 / 12 = 5 / 12 1 / 24 work is done by a in 1 day 5 / 12 work is done by a in 72 * 5 / 12 = 30 days answer is a" | null |
Question: 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 ?
A.s . 10.
B.s . 24.
C.s . 30.
D.s . 40.
e ) s . 50B.
total earning for the week = sum of earning of first four days + sum of earning of last four days - earning of 4 th day = 4 x 25 + 4 x 22 - 20 = rs . 168 Γ’ Λ Β΄ average earning = 168 / 7 = rs . 24 b | null |
Question: 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 ?
A.11.
B.10.
C.28.
D.25.
e ) 82D.
"explanation : 2420 - - - 605 100 - - - ? = > 25 % answer : option d" | null |
Question: 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 ?
A.33.
B.66.
C.88.
D.11.
e ) 281D.
"( 9 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 20 20 β 9 = 11 answer : d" | null |
Question: 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 ?
A.19.
B.21.
C.23.
D.25.
e ) 27B.
explanation : 20 15 5 25 20 8 500 + 300 + 40 = 840 / 40 = 21 b | null |
Question: what is the remainder when 3 ^ 33 is divided by 5 ?
A.0.
B.1.
C.2.
D.3.
e ) 4D.
"the units digit of powers of 3 follow a repeating cycle of four : { 3 , 9 , 7 , 1 } 33 has the form 4 k + 1 , so the units digit of 3 ^ 33 is 3 . the remainder when dividing by 5 is 3 . the answer is d ." | null |
Question: find ( 7 x + 2 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?
A.23.
B.25.
C.26.
D.27.
e ) 29A.
"x / 2 y = 3 / 2 = > x = 6 y / 2 = 3 y = > ( 7 x + 2 y ) / ( x - 2 y ) = ( ( 7 * ( 3 y ) ) + 2 y ) / ( 3 y - 2 y ) = > 23 y / y = 23 answer : a" | null |
Question: 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 ?
A.235 miles ..
B.245 miles ..
C.225 miles ..
D.265 miles ..
e ) 275 miles .C.
"the total distance d traveled by john is given by d = 45 * 2 + 3 * 45 = 225 miles . answer c" | null |
Question: 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 ?
A.105 kg.
B.103 kg.
C.109 kg.
D.125 kg.
e ) 117 kgC.
"c 109 kg 190 Γ£ β 0.75 Γ£ β 0.85 Γ£ β 0.9 = 109 kg ." | null |
Question: 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
A.4.37 %.
B.5 %.
C.6 %.
D.8.75 %.
e ) 7 %E.
solution increase in 10 years = ( 297500 - 175000 ) = 122500 increase % = ( 122500 / 175000 Γ£ β 100 ) % = 70 % . required average = ( 70 / 10 ) % = 7 % . answer e | null |
Question: 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 ?
A.471.
B.490.
C.480.
D.453.
e ) 456B.
average mark scored by all the three boys = [ 59 / 100 ( 700 ) + 55 / 100 ( 700 ) + 99 / 100 ( 700 ) + 67 / 100 ( 700 ) ] / 4 ( 413 + 385 + 693 + 469 ) / 4 = 490 answer : b | null |
Question: in how many no . between 10 and 50 exactly two of the digits is 5 ?
A.47.
B.65.
C.1.
D.35.
e ) 65C.
"it ' s simple can be solved by elimination of answer choices . option b and d are too large , not possible . even ae are large to have correct choice . ans : c" | null |
Question: 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 ?
A.1 / 30.
B.1 / 25.
C.1 / 20.
D.1 / 28.
e ) 1 / 30D.
probability that john and david will both be chosen out of 8 workers = ( 2 / 8 ) * ( 1 / 7 ) = 1 / 28 answer d | null |
Question: by selling 8 pens for a rupee a woman loses 25 % . how many for a rupee should he sell in order to gain 25 % ?
A.2.
B.14.
C.3.
D.5.
e ) 6D.
"d 75 % - - - 8 125 % - - - ? 75 / 125 * 8 = 5" | null |
Question: 3.20 can be expressed in terms of percentage as
A.3.20 %.
B.30.2 %.
C.320.00 %.
D.0.320 %.
e ) none of theseC.
explanation : while calculation in terms of percentage we need to multiply by 100 , so 3.20 * 100 = 320 answer : option c | null |
Question: 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 ?
A.288.
B.266.
C.288.
D.200.
e ) 111D.
25 + 25 = 50 25 % - - - - - - 50 100 % - - - - - ? = > 200 answer : d | null |
Question: if x : y is 1 : 5 and y : z is 5 : 7 then x : z is equal to
A.1 : 6.
B.1 : 5.
C.1 : 4.
D.1 : 7.
e ) 1 : 3D.
the two ratios given are having the same number 5 for y in both the ratios . hence - x : y = 1 : 5 y : z = 5 : 7 = > x : z = 1 : 7 answer d | null |
Question: divide $ 1000 among a , b in the ratio 1 : 3 . how many $ that a get ?
A.$ 50.
B.$ 500.
C.$ 150.
D.$ 250.
e ) $ 600D.
"sum of ratio terms = 1 + 3 = 4 a = 1000 * 1 / 4 = $ 250 answer is d" | null |
Question: 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 ?
A.14.
B.24.
C.16.
D.18.
e ) 20B.
"consider max starts from point a and brad starts from point b and move towards each other . assume they shall meet at point o after time ' t ' . the question asks us to find oa . from the question stem we can make out : - distance oa = 50 km - distance ob = > 6 xt = 72 - 12 xt ( i . e distance = speed x time ) = > 18 t = 72 hence t = 4 oa = 6 x 4 = 24 km answer : b" | null |
Question: 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 ?
A.18.
B.20.
C.22.
D.24.
e ) 26A.
smallest gumballs = ( 19 - 17 ) + ( 19 - 12 ) + 19 = 28 largest gumballs = ( 25 - 17 ) + ( 25 - 12 ) + 25 = 46 difference = 46 - 28 = 18 a | null |
Question: a train 250 m long passed a pole in 10 sec . how long will it take to pass a platform 1250 m long ?
A.60 sec.
B.90 sec.
C.120 sec.
D.150 sec.
e ) 180 secA.
speed = 250 / 10 = 25 m / sec . required time = ( 250 + 1250 ) / 25 = 60 sec answer : a | null |
Question: 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 ?
A.80 cm.
B.90 cm.
C.100 cm.
D.120 cm.
e ) 130 cmB.
"when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 225 2.5 h = 225 h = 90 . b is the answer ." | null |
Question: 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 ?
A.22.
B.46.
C.17.
D.27.
e ) 33D.
d i will take 27 days to come out of that well for that man , he climbs 4 meter every day and slips 3 meter down that means he climbs 1 meter in total each day , so like this on 26 th day he would have climbed 26 meter and on 27 th day he will climb 4 meeter again so total 30 meter he will climb in 27 days . | null |
Question: if a mixture is 2 β 7 alcohol by volume and 3 β 7 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ?
A.3.
B.1 / 3.
C.2 / 3.
D.3 / 5.
e ) 4 / 5C.
should be a sub - 600 level q . . volume = { 2 / 7 } / { 3 / 7 } = 2 / 3 c | null |
Question: 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 ?
A.$ 21.25 m.
B.$ 25.5 m.
C.$ 106.25 m.
D.$ 127.5 m.
e ) $ 153 mD.
2 / 10 * 1 / 6 * ( total ) = 4.25 1 / 30 * ( total ) = 4.25 ( total ) = 4.25 * 30 = 127.5 answer : d . | null |
Question: what is the value of n if the sum of the consecutive odd intergers w from 1 to n equals 169 ?
A.47.
B.25.
C.37.
D.33.
e ) 29B.
"before you tackle this question you must first understand that the question is comprised of two key parts , 1 st is finding out how manytermsis in that sequence and 2 nd whatactual number valuethat term is . in an arithmetic progression , in this case consecutive odd integers 1 , 3 , 5 , . . . . , there are two set of rules . rule # 1 ( arithmetic sequence ) : xn = a + d ( n - 1 ) identifies what the actual # in the sequence would be . each number in the sequence has a term such as 1 ( is the first term ) , 3 ( is the second term ) and so on . so if i were to ask you to find out what the 10 th term is of that sequence you would use that formula to find that value . a = 1 ( first term ) d = 2 ( the common difference ) remember in the sequence 1 , 3 , 5 , 7 the common difference is always 2 * on a side note we use n - 1 because we do n ' t have d in the first term , therefore if we were solving for the first term we would get 0 as n - 1 and 0 times d would give us 0 , leaving only the first term . this works regardless what your first term is in any sequence . but remember the question askswhat is thevalueof n if the sum of the consecutive odd integers from 1 to n equals 169 ? which means we first need a consecutive sequence that sums up to 169 and than find what the value of the n is , in this case it would be the last number in that sequence . in order to find that we first need to knowhow many terms ( how many of the n there is ) in order to be able to plug n in this formula given we know what the sum is . for that to happen we need to use rule # 2 . rule # 2 ( summing an arithmetic series ) : 169 = n / 2 ( 2 a + ( n - 1 ) d ) . given the question gives us what the sum is ( 169 in this case ) we would simply use this formula to solve for n . once we solve for n ( 13 in this case ) we can simply plug n into the first formula ( rule 1 ) and find the value . it feels very confusing and difficult at first , but once you identify the steps all you need to do is plug and play . we have the sum ( 169 ) of a sequence , the number of terms in that sequence is ( unknown ) . rule # 2 tells us how many numbers there are in that sequence and rule # 1 gives us what that last term is ." | null |
Question: 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 ?
A.5.
B.2.
C.9.
D.5.
e ) 12E.
"7500 = d ( 100 / 4 ) 2 d = 12 answer : e" | null |
Question: evaluate : 7899665 - 12 * 3 * 2 = ?
A.2455835.
B.2789255.
C.6868575.
D.7899657.
e ) 1023666D.
"according to order of operations , 12 ? 3 ? 2 ( division and multiplication ) is done first from left to right 12 * * 2 = 4 * 2 = 8 hence 7899665 - 12 * 3 * 2 = 7899665 - 8 = 7899657 correct answer d" | null |
Question: 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 ?
A.1 / 65.
B.1 / 62.
C.1 / 63.
D.1 / 60.
e ) 1 / 61D.
a = 140 days b = 105 days 1 / 140 + 1 / 105 = 7 / 420 = 1 / 60 = > 60 days answer : d | null |
Question: if 9 / ( 1 + 4 / x ) = 1 , then x =
A.3.
B.1 / 2.
C.1 / 3.
D.- 1 / 3.
e ) - 3B.
"the expression 9 / ( 1 + 4 / x ) = 1 should have been equal to something . if 9 / ( 1 + 4 / x ) = 1 = 1 = > 9 x / ( x + 4 ) = 1 = > 9 x = x + 4 = > 8 x = 4 = > x = 1 / 2 correct option : b" | null |
Question: what is the prime factors β number of 12 ?
A.2.
B.3.
C.4.
D.5.
e ) 6B.
"prime factors β number , as i assume , for a number x = a ^ n * b ^ m * c ^ o * d ^ p . . . is = n + m + o + p . . . so , 24 = 2 ^ 2 * 3 ^ 1 prime factors β number will be 2 + 1 = 3 . hence , answer is b ." | null |
Question: 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 ?
A.1 / 32.
B.2 / 32.
C.3 / 32.
D.4 / 32.
e ) 5 / 32E.
"least chance . p = 1 / 2 * 5 / 16 + 1 / 2 * 0 = 5 / 32 answer : e" | null |
Question: what is the sum of the odd integers from 55 to 75 , inclusive ?
A.495.
B.550.
C.555.
D.600.
e ) 715E.
"the mean is 65 . sum = mean ( # of elements ) there are 11 odd numbers between 55 - 75 inclusive . 11 * 65 = 715 e" | null |
Question: 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 Β΄ 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 ?
A.7 : 18.
B.9 : 23.
C.10 : 17.
D.23 : 54.
e ) 31 : 77C.
"m = 4 / 9 of total games n = 5 / 9 of total games wins = 1 / 3 * 4 / 9 + 2 / 5 * 5 / 9 = 4 / 27 + 6 / 27 = 10 / 27 losses = 1 - 10 / 27 = 17 / 27 the ratio of wins to losses is 10 : 17 . the answer is c ." | null |
Question: 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 ) ?
A.1.8.
B.60.
C.6.
D.18.
e ) 3E.
"concept : when terms are in arithmetic progression ( a . p . ) i . e . terms are equally spaced then mean = median = ( first + last ) / 2 and sum = mean * number of terms h ( 20 ) = [ ( 2 + 20 ) / 2 ] * 9 = 99 h ( 10 ) = ( 2 + 10 ) / 2 ] * 5 = 30 h ( 18 ) / h ( 10 ) = ( 99 ) / ( 30 ) ~ 3 answer : e" | null |
Question: a shopkeeper sold an article at $ 1170 and gained a 20 % profit . what was the cost price ?
A.$ 950.
B.$ 975.
C.$ 1000.
D.$ 1025.
e ) $ 1050B.
"let x be the cost price . 1.2 x = 1170 x = 1170 / 1.2 = 975 the answer is b ." | null |
Question: how many positive integers less than 70 have a reminder 01 when divided by 3 ?
A.13.
B.24.
C.35.
D.16.
e ) 17B.
"1 also gives the remainder of 1 when divided by 3 . so , there are total of 24 numbers . answer : b ." | null |
Question: 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 ?
A.1340.
B.1445.
C.1375.
D.1415.
e ) 1455A.
$ 25 per packet of gasket in case a customer orders less than 10 in case a customer orders > 10 price per gasket = 25 * 4 / 5 = 20 a certain week the supplier sold 60 gasket 1 . he sold 15 % of the gaskets to x = 9 gaskets = 25 * 9 = 225 2 . he sold 15 % of the gaskets to y = 9 gaskets = 25 * 9 = 225 3 . he sold remaining 70 % to z = 42 gaskets = 25 * 10 = 250 + 20 * 32 = 890 thus , total money earned 225 + 225 + 890 = 1340 answer is a | null |
Question: 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 β s and sudhir β s share in the profit ?
A.rs . 362.
B.rs . 383.
C.rs . 398.
D.rs . 399.
e ) rs . 400A.
"suresh : rohan : sudhir ratio of their investments = 18000 Γ 12 : 12000 Γ 9 : 9000 Γ 8 = 6 : 3 : 2 the difference between rohan β s and sudhir β s share = 1 share : . i . e . = rs . 3982 Γ 1 / 11 = rs . 362 . a )" | null |
Question: how many words , with or without meaning , can be formed using all letters of the word orange using each letter exactly once ?
A.700.
B.720.
C.740.
D.760.
e ) 780B.
"the word orange has exactly 6 letters which are all different . therefore the number of words that can be formed = number of permutations of 6 letters taken all at a time . = p ( 6 , 6 ) = 6 ! = 6 Γ 5 x 4 x 3 x 2 Γ 1 = 720 answer : b" | null |
Question: 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 ?
A.10.
B.12.
C.14.
D.16.
e ) 18C.
"32 ! has 3 , 6 , 9 , . . . . 30 as factors , which are 10 multiples of 3 . we need to add 4 more to 10 because of 9 , 18 , and 27 . the answer is c ." | null |
Question: 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
A.21 %.
B.20 %.
C.21 % 18 %.
D.23 %.
e ) can not be determinedC.
"the profit on the first kind of vodka = x % ; the profit on the second kind of vodka = y % . when they are mixed in the ratio 1 : 2 ( total of 3 parts ) the average profit is 10 % : ( x + 2 y ) / 3 = 10 . when they are mixed in the ratio 2 : 1 ( total of 3 parts ) the average profit is 20 % : ( 2 x + y ) / 3 = 20 . solving gives : x = 30 % and y = 0 % . after the individual profit percent on them areincreased by 4 / 3 and 5 / 3 times respectively the profit becomes 40 % and 0 % , on the first and te second kinds of vodka , respectively . if they are mixed in equal ratio ( 1 : 1 ) , then the mixture will fetch the profit of ( 40 + 0 ) / 2 = 20 % . answer : c" | null |
Question: 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 ?
A.120.
B.180.
C.240.
D.280.
e ) 320C.
"let x be the number of kilograms he sold in the morning . then in the afternoon he sold 2 x kilograms . so , the total is x + 2 x = 3 x . this must be equal to 360 . 3 x = 360 x = 3603 x = 120 therefore , the salesman sold 120 kg in the morning and 2 β
120 = 240 kg in the afternoon . so answer is c ." | null |
Question: 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 ?
A.140.
B.100.
C.85.
D.160.
e ) 190A.
"sum of the marks for the 25 students = 25 * 70 = 1750 . the marks of each student are doubled , the sum also will be doubled . the new sum = 1750 * 2 = 3500 . so , the new average = 3500 / 25 = 140 . answer : a" | null |
Question: 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 .
A.A.45.
B.B.33.
C.C.48.
D.D.55.
e ) e ) 61C.
"let y be the balance distance to be covered and x be the former speed . 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 so , y / ( 3 x / 4 ) - y / x = 35 / 60 4 y / 3 x - y / x = 7 / 12 y / x ( 4 / 3 - 1 ) = 7 / 12 y / x * 1 / 3 = 7 / 12 y / x = 7 / 4 4 y - 7 x = 0 . . . . . . . . 1 had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late so , ( y - 24 ) / ( 3 x / 4 ) - ( y - 24 ) / x = 25 / 60 4 ( y - 24 ) / 3 x - ( y - 24 ) / x = 5 / 12 ( y - 24 ) / x ( 4 / 3 - 1 ) = 5 / 12 ( y - 24 ) / x * 1 / 3 = 5 / 12 ( y - 24 ) * 12 = 3 x * 5 ( y - 24 ) * 4 = 5 x 4 y - 5 x = 96 . . . . . . . 2 eq 2 - eq 1 2 x = 96 x = 48 = w ans = c" | null |
Question: 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 ?
A.18 days.
B.20 days.
C.23 days.
D.25 days.
e ) 27 daysA.
amit β s one day β s work = 1 / 10 amit β s 2 day β s work = 1 / 10 * 2 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu β s one day β s work = 1 / 20 ananthu can do work in = 4 / 5 * 20 = 16 days so total days = 16 + 2 = 18 days answer : a | null |
Question: there are two positive numbers in the ratio 4 : 8 . if the larger number exceeds the smaller by 16 , then find the smaller number ?
A.25.
B.20.
C.77.
D.88.
e ) 44B.
"let the two positive numbers be 5 x and 8 x respectively . 8 x - 4 x = 16 4 x = 16 = > x = 4 = > smaller number = 5 x = 20 . answer : b" | null |
Question: 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 ?
A.15.
B.30.
C.35.
D.42.
e ) 48C.
for deciding such task we should calculate all parts 1 + 7 + 8 = 16 parts and we should calculate how many sandwiches holds 1 part : 80 / 16 = 5 sandwiches in one part for bologna we have 7 parts so : 7 * 5 = 35 answer is c | null |
Question: 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 ?
A.9.
B.11.
C.13.
D.15.
e ) 17B.
"the daily production was raised by 5 units for n days , which has a weighting of 5 n . 5 n = 110 - 55 = 55 n = 11 the answer is b ." | null |
Question: 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 ?
A.87.
B.69.
C.36.
D.72.
e ) 21C.
"speed = 50 km / hr = 50 * ( 5 / 18 ) m / sec = 125 / 9 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 9 / 125 ) = 36 seconds answer : c" | null |
Question: 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 ?
A.12.
B.8.
C.4.
D.10.
e ) 16D.
- 4 hours : 1,000 - 2 hours : 2,000 now : 4,000 + 2 hours : 8,000 + 4 hours : 16,000 + 6 hours : 32,000 + 8 hours : 64,000 + 10 hours : 128,000 answer : d | null |
Question: 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 :
A.55 : 23.
B.52 : 33.
C.52 : 53.
D.45 : 53.
e ) 14 : 15E.
"let c . p . of the book be $ x . then , required ratio = 112 % of x / 120 % of x = 112 / 120 = 14 / 15 = 14 : 15 e" | null |
Question: 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 .
A.10.
B.99.
C.27.
D.22.
e ) 29A.
"let the quantity of alcohol and water be 4 x litres and 3 x litres respectively 20 x = 4 ( 3 x + 5 ) 8 x = 20 x = 2.5 quantity of alcohol = ( 4 x 2.5 ) litres = 10 litres . answer : a" | null |
Question: 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 ?
A.40.
B.56.
C.41.
D.36.
e ) 34D.
"speed = 45 * 5 / 18 = 25 / 2 m / sec total distance covered = 310 + 140 = 450 m required time = 450 * 2 / 25 = 36 sec answer : option d" | null |
Question: 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 ?
A.$ 11,320.
B.$ 12,430.
C.$ 13,540.
D.$ 14,650.
e ) $ 15,760B.
"for first 2000 meters he does not get any discount . the price is 2 * 2000 = $ 4000 for next 1500 meters , he gets a 5 % discount . the price is 1.9 * 1500 = $ 2850 for the next 1500 meters , he gets a 7 % discount . the price is 1.86 * 3000 = $ 5580 the total price is $ 4000 + $ 2850 + $ 5580 = $ 12,430 the answer is b ." | null |
Question: 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 ?
A.20.195 hrs.
B.21.195 hrs.
C.22.195 hrs.
D.23.195 hrs.
e ) 20.495 hrsA.
"a fill in one hour = 1 / 36 b fill in one hour = 1 / 46 both fill in one hour = 1 / 36 + 1 / 46 = 82 / 1656 time taken by both pipes = 1656 / 82 = 20.195 hrs answer : a" | null |
Question: 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 ?
A.4991.
B.5991.
C.3991.
D.6542.
e ) 6995C.
"total sale for 5 months = rs . ( 5435 + 5927 + 5855 + 6230 + 5562 ) = rs . 29009 . required sale = rs . [ ( 5500 x 6 ) - 29009 ] = rs . ( 33000 - 29009 ) = rs . 3991 answer : option c" | null |
Question: 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 .
A.5.
B.4.
C.3.
D.2.
e ) 1E.
from the coordinates of the foci , c = 5 and the major axis is the y axis . from the length of the major axis , we obtain a = 7 . also b 2 = a 2 - c 2 = 24 . the equation of the ellipse is given by x 2 / 24 + y 2 / 49 = 1 correct answer is e ) 1 | null |
Question: if p represents the product of the first 16 positive integers , then p is not a multiple of
A.99.
B.84.
C.72.
D.65.
e ) 51E.
"answer is e . since prime factor of 51 is 3 x 17 . 17 is a prime number and not part of the first 15 positive integers . a ) 9 x 11 b ) 12 x 7 c ) 12 x 6 d ) 13 x 5 e ) 3 x 17" | null |
Question: 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 ?
A.a . 4.
B.b . 8.
C.c . 10.
D.d . 12.
e ) e . 16A.
you might think of this in a management context - we can use the principle of ' person - hours ' to solve any problem where we have identical workers . so , using simpler numbers , suppose you know that 6 identical employees , working simultaneously , would finish a job in 5 hours . then that job requires 6 * 5 = 30 total hours of person - work . if instead you wanted the job done in 3 hours , you ' d assign 30 / 3 = 10 employees to do the job , because you want to get a total of 30 hours of work from the employees . we can solve this problem identically . if 12 machines ( identical ones , i assume ) work simultaneously for 40 days , they will do a total of 12 * 40 machine - days of work . so the job requires 12 * 40 days of machine work in total . we instead want the job done in 1 / 4 less time , so in 30 days . so we ' ll need 12 * 40 / 30 = 16 machines , or 4 additional machines . a | null |
Question: 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 ?
A.11 ..
B.20 ..
C.13 ..
D.14 ..
e ) 14.5B.
"price of candy before price increase = 20 / 1.25 = 16 price of soda before price increase = 6 / 1.5 = 4 total price = 16 + 4 = 20 b is the answer" | null |
Question: 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 ?
A.1276.
B.1680.
C.2832.
D.1299.
e ) 1236B.
"explanation : l * 30 = 1200 Γ¨ l = 40 40 + 30 + 50 = 120 120 * 14 = 1680 answer : option b" | null |
Question: . a car covers a distance of 810 km in 5 hours . find its speed ?
A.104.
B.55.
C.162.
D.174.
e ) 2761C.
"810 / 5 = 162 kmph answer : c" | null |
Question: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is
A.2 : 0.
B.2 : 1.
C.2 : 9.
D.2 : 2.
e ) 2 : 5B.
answer : b ) 2 : 1 | null |
Question: 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 ?
A.36.
B.48.
C.72.
D.96.
e ) 108B.
the number of photographs either framed by jack or taken by octavia = { jack } + { octavia } - { overlap } = 36 + 36 - 24 = 48 ( { overlap } is green box ) . answer : b | null |
Question: a train 360 m long is running at a speed of 45 kmph . in what time will it pass a bridge 140 m long ?
A.40 sec.
B.42 sec.
C.45 sec.
D.48 sec.
e ) 49 secA.
"speed of the train 45 * 5 / 18 = 25 / 2 m / sec time = ( 360 + 140 ) / 25 / 2 = 500 * 2 / 25 = 40 sec answer : a" | null |
Question: what is value of ( p + q ) / ( p - q ) if p / q = 7 ?
A.1 / 3.
B.2 / 3.
C.4 / 3.
D.5 / 3.
e ) none of theseC.
explanation : ( p + q ) / ( p - q ) = ( p / q + 1 ) / ( p / q - 1 ) = ( 7 + 1 ) / ( 7 - 1 ) = 4 / 3 . answer : c | null |
Question: find the area of a cuboid of length 8 cm , breadth 6 cm . and height 9 cm .
A.400 cm cube.
B.410 cm cube.
C.420 cm cube.
D.432 cm cube.
e ) 480 cm cubeD.
"area of a cuboid = lxbxh = 8 cm x 6 cm x 9 cm = 432 cm cube answer : d" | null |
Question: if | 5 x - 20 | = 100 , then find the sum of the values of x ?
A.1.
B.- 2.
C.8.
D.- 3.
e ) 4C.
"| 5 x - 20 | = 100 5 x - 20 = 100 or 5 x - 20 = - 100 5 x = 120 or 5 x = - 80 x = 24 or x = - 16 sum = 24 - 16 = 8 answer is c" | null |
Question: 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 ?
A.2880 ..
B.4860 ..
C.5780.
D.5760.
e ) 6380 .A.
normal day = 400 kw / h stormy day = 400 * 1.2 = 480 kw / h 3 windmills for 2 hours on stormy day 480 * 3 * 2 = 2880 answer : a | null |
Question: 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 ?
A.7.
B.3.
C.5.
D.4.
e ) 1B.
"because we have to maximize the pair of matched socks , we will remove 6 pairs ( 12 socks ) out of 10 pairs 1 sock from the 7 th pair . thus the no of matching socks pair remaining = 10 - 7 = 3 answer b" | null |
Question: 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 ?
A.3.
B.4.
C.5.
D.6.
e ) 7B.
"suppose anoop joined after 3 months . then , 20000 * 12 = 30000 * ( 12 β x ) = > 120000 = 30000 x = > x = 4 . answer : b" | null |
Question: 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 ?
A.80.
B.82.5.
C.78.5.
D.75.5.
e ) 74B.
"1 / 2 bh = 1 / 2 ( 2 a + 1 ) ( 2 a + 5 ) now 4 a - 5 = 2 a + 5 2 a = 10 , a = 5 therefore , a ( 0,0 ) ; b ( 0,15 ) ; c ( 10,15 ) 1 / 2 * 11 * 15 = 82.5 answer : b" | null |
Question: 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 ?
A.17608.
B.17606.
C.17604.
D.17600.
e ) 18880E.
"price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \ total price of tv set = 15625 + 375 = rs . 16000 the price at whichthe tv should be sold to get a profit of 18 % if no discount was offered = 16000 * 118 / 100 = rs . 18880 . answer : e" | null |
Question: 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 ) ?
A.975.5.
B.1250.5.
C.1465.5.
D.1687.5.
e ) 1824.5D.
"2 hl + 2 hw = 2 lw h = lw / ( l + w ) volume = lwh = ( lw ) ^ 2 / ( l + w ) = 1687.5 the answer is d ." | null |
Question: 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 ?
A.152 m 2.
B.162 m 2.
C.180 m 2.
D.300 m 2.
e ) 314 m 2E.
"surface area of a cuboid = 2 ( lb + bh + lh ) = 2 ( 9 * 8 + 8 * 5 + 9 * 5 ) = 2 ( 72 + 40 + 45 ) = 2 * 157 = 314 m 2 answer : e" | null |
Question: how many multiples of 7 are there between 10 and 100 ( both are inclusive ) ?
A.11.
B.13.
C.15.
D.17.
e ) 21B.
"7 multiples are 14 , 21,28 , - - - - - - - - - , 98 it should be mentioned whether 10 and 100 are inclusive . the answer is ( 98 - 14 ) / 7 + 1 = 13 answer is b" | null |
Question: 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 ?
A.70.
B.72.
C.74.
D.75.
e ) 78C.
"time to cover 1 kilometer at 80 kilometers per hour is 1 / 80 hours = 3,600 / 80 seconds = 45 seconds ; time to cover 1 kilometer at regular speed is 45 + 4 = 49 seconds = 49 / 3,600 hours = 1 / 74 hours ; so , we get that to cover 1 kilometer 1 / 74 hours is needed - - > regular speed 74 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : c" | null |
Question: 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 ?
A.3630.
B.2881.
C.2887.
D.3750.
e ) 2212D.
6300 : 4200 : 10500 3 : 2 : 5 3 / 10 * 12100 = 3750 . answer : d | null |
Question: 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 ?
A.70,105.
B.60,88.
C.80,120.
D.60,84.
e ) 60,81A.
"( 2 x - 20 ) : ( 3 x - 20 ) = 10 : 17 x = 35 = > 70,105 answer : a" | null |
Question: 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 .
A.400.
B.600.
C.800.
D.1000.
e ) 1200B.
"30 % = 180 marks 1 % = 6 marks 100 % = 600 marks the answer is b ." | null |
Question: 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 ?
A.40.
B.36.
C.42.
D.44.
e ) 46B.
"man - hours required to asphalt 1 km road = 30 * 12 * 8 = 2880 man - hours required to asphalt 2 km road = 2880 * 2 = 5760 man - hours available per day = 20 * 8 = 160 therefore number of days = 5760 / 240 = 36 days ans = b" | null |
Question: if x and j are integers and 2 x β j = 11 , then 4 x + j can not be
A.β 5.
B.1.
C.13.
D.17.
e ) 551D.
2 x - j = 11 . . . . j = 2 x - 11 4 x + j = 4 x + 2 x - 11 = 6 x - 11 6 x - 11 = - 5 . . . x = 1 6 x - 11 = 1 . . . x = 2 6 x - 11 = 13 . . . x = 4 6 x - 11 = 17 . . x is not integer 6 x - 11 = 551 . . x is not integer i think the choice e is 55 not 551 . otherwise both de can not be solution = d | null |
Question: 15.06 * 0.001 = ?
A.15060000.
B.0.001506.
C.0.01506.
D.0.1506.
e ) none of theseC.
"explanation : clearly after decimal 5 digits should be there . option c" | null |
Question: 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 .
A.8.
B.16.
C.24.
D.32.
e ) 48B.
"from the info that the maximum sides of the cubes is 4 , we know that the gcf of 12 ( = 2 ^ 2 * 3 ) and ` ` b ' ' is 4 ( = 2 ^ 2 ) , so ` ` b ' ' = 2 ^ x , where x > = 2 . from the second premise , we know that the lcm of 12 ( 2 ^ 2 * 3 ) and ` ` b ' ' is 48 ( 2 ^ 4 * 3 ) , so ` ` b ' ' = 2 ^ 4 or 2 ^ 4 * 3 ( 16 or 48 ) . combining 2 premises shows the answer is b ( 16 ) ." | null |
Question: 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 ?
A.$ 28,300.
B.$ 30,400.
C.$ 31,300.
D.$ 32,500.
e ) $ 35,100B.
"let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 228 = > p = ( 228 * 4 * 10 ^ 2 ) / 3 = 76 * 4 * 10 ^ 2 = 304 * 10 ^ 2 answer b" | null |
Question: 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 ?
A.10.5 %.
B.13.2 %.
C.15 %.
D.22 %.
e ) 30 %B.
"answer is b . this question is in the og and thus well explained by ets . those who exceed : x so x = 10 % + 0,24 x id est x = 13.2 %" | null |
Question: joe β 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 ?
A.20.
B.30.
C.55.
D.65.
e ) 80B.
"the arithmetic mean of 4 equally weighted tests was 45 . so what we can assume is that we have 4 test scores , each 45 . he dropped his lowest score and the avg went to 50 . this means that the lowest score was not 45 and other three scores had given the lowest score 5 each to make it up to 45 too . when the lowest score was removed , the other 3 scores got their 5 back . so the lowest score was 3 * 5 = 15 less than 45 . so the lowest score = 45 - 15 = 30 answer ( b )" | null |
Question: if y > 0 , ( 4 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
A.40 %.
B.50 %.
C.60 %.
D.70 %.
e ) 80 %B.
"can be reduced to 2 y / 10 + 3 y / 10 = y / 2 = 50 % answer b" | null |
Question: in how many years rs 100 will produce the same interest at 5 % as rs . 600 produce in 4 years at 10 %
A.44.
B.52.
C.50.
D.46.
e ) 48E.
"explanation : clue : firstly we need to calculate the si with prinical 600 , time 4 years and rate 10 % , it will be rs . 240 then we can get the time as time = ( 100 * 240 ) / ( 100 * 5 ) = 48 option e" | null |
Question: 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 Γ a ?
A.0.
B.5.
C.10.
D.15.
e ) 25D.
you should notice that 55 * 2 = 110 so 11,000 is divisible by 55 : 55 * 200 = 11,000 ( or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55 ) - - > b * a = 0 * 0 = 0 . next number divisible by 55 is 11,000 + 55 = 11,055 : b * a = 5 * 5 = 15 ( next number wo n ' t have 110 as the first 3 digits so we have only two options 0 and 25 ) . answer : e . ! please post ps questions in the ps subforum : gmat - problem - solving - ps - 140 / please post ds questions in the ds subforum : gmat - data - sufficiency - ds - 141 / no posting of ps / ds questions is allowed in the mainmath forum . d | null |
Question: 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 . ?
A.45 minutes.
B.55 minutes.
C.35 minutes.
D.25 minutes.
e ) 40 minutesB.
"there are 11 hours in between 7 a . m . to 6 p . m . 11 * 5 = 55 minutes . answer : b" | null |
Question: if mn β 0 and 25 percent of n equals 37 1 / 2 percent of m , what is the value of 12 n / m ?
A.18.
B.323323.
C.8.
D.3.
e ) 98A.
given : 25 percent of n equals 37 ( 1 / 2 ) percent of m = > ( 25 / 100 ) * n = ( 75 / 200 ) * m = > 2 n = 3 m . 12 n / m = 6 * 2 n / m = 6 * 3 m / m = 18 . hence a . | null |
Question: 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 ?
A.20 % loss.
B.12.5 % profit.
C.33.33 % loss.
D.30.33 % loss.
e ) none of theseB.
"explanation : let cost price of 1 article be re . 1 . therefore , cost price of 18 articles = rs . 18 . selling price of 16 articles = rs . 18 therefore , selling price of 18 articles is : - = > 18 / 16 Γ£ β 18 = > 20.25 . therefore , profit = selling price - cost price . = > 20.25 Γ’ Λ β 18 = 2.25 . hence , the percentage of profit = profit x 100 / c . p . = > 2.25 / 18 Γ£ β 100 . = > 12.5 % profit . answer : b" | null |
Question: 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 ?
A.22 years.
B.24 years.
C.26 years.
D.28 years.
e ) 30 yearsC.
"age of the 15 th student = [ 15 * 16 - ( 14 * 5 + 16 * 9 ) ] = ( 240 - 214 ) = 26 years . answer : c" | null |
Question: 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 ?
['A.1 / 4', 'B.1 / 5', 'C.1 / 6', 'D.1 / 27', 'e ) 1 / 9']D.
the length of cube q = 1 ; the length of cube p = 3 ; the ratio of the volume of cube q to the volume of cube p = 1 ^ 3 / 3 ^ 3 = 1 / 27 answer : d | null |
Question: 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 ?
A.rs . 1700.
B.rs . 1720.
C.rs . 1750.
D.rs . 1850.
e ) rs . 2000C.
c . i . = rs . 4000 x 1 + 10 2 - 4000 100 = rs . 4000 x 11 x 11 - 4000 10 10 = rs . 840 . sum = rs . 420 x 100 = rs . 1750 . 3 x 8 c | null |
Question: 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 ?
A.1.
B.3.
C.4.
D.2.
e ) 8D.
"# of red marbles in bag a can be either 2 or 6 . no 2 in the choices , so 6 . d . bag a : r : w : b = 2 : 6 : 9 bag b r : w = 1 : 4 6 x + 4 y = 22 i . e 3 x + 2 y = 11 x has to be odd to make an odd sum from the eq . x = 1 , y = 4 or x = 3 , y = 1 so r can be 2 x i . e 2 or 6 . answer d" | null |
Question: what is the sum of the first 23 natural numbers ( starting from 1 ) ?
A.256.
B.266.
C.276.
D.286.
e ) 296C.
the sum of n natural numbers = n * ( n + 1 ) / 2 = 23 * 24 / 2 = 276 the answer is c . | null |
Question: 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 ?
A.10.
B.28.
C.12.
D.14.
e ) 16B.
"26 trees have 25 gaps between them . length of each gap = 700 / 25 = 28 i . e . , distance between two consecutive trees = 28 answer is b ." | null |
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