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Question: a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 38,000 commission , how many machines did she sell ?
A.90.
B.103.
C.105.
D.115.
e ) 120E.
"first 100 machines = 3 % commission = 0.03 * 100 * 10000 = 30000 commission from sale of next machines = 38000 - 30000 = 8000 so 20 more machines . . total = 120 machines imo e . . ." | null |
Question: a certain city with a population of 192,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ?
A.A.10,700.
B.B.16,000.
C.C.10,900.
D.D.11,000.
e ) e ) 11,100B.
"let x = number of people in smallest district x * 1.1 = number of people in largest district x will be minimised when the number of people in largest district is maximised 10 * x * 1.1 = 11 x = total number of people in other districts so we have 11 x + x = 192 k x = 16,000 answer : b" | null |
Question: the mean of 50 observations was 36 . it was found later an observation 48 was wrongly taken as 23 . the corrected new means is :
A.35.2.
B.36.1.
C.36.5.
D.39.1.
e ) none of theseC.
"solution correct sum = ( 36 Γ 50 + 48 - 23 ) = 1525 . β΄ correct mean = 1825 / 50 = 36.5 answer c" | null |
Question: there are 750 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?
A.75.
B.100.
C.125.
D.175.
e ) 225C.
"let m be the number of male participants and f be the number of female articipants in the meeting . thetotal number of participants is given as 750 . hence , we have m + f = 750 now , we have that half the female participants and one - quarter of the male participants are democrats . let d equal the number of the democrats . then we have the equation f / 2 + m / 4 = d now , we have that one - third of the total participants are democrats . hence , we have the equation d = 750 / 3 = 250 solving the three equations yields the solution f = 250 , m = 500 , and d = 250 . the number of female democratic participants equals half the female participants equals 250 / 2 = 125 . answer : c" | null |
Question: in 2 triangle , the ratio of the areas is 4 : 3 and that of their heights is 3 : 4 . find the ratio of their bases ?
A.10 : 8.
B.11 : 8.
C.16 : 9.
D.17 : 19.
e ) 17 : 10C.
"given a 1 / a 2 = 4 / 3 , h 1 / h 2 = 3 / 4 also , we know that a 1 / a 2 = ( 1 / 2 Γ b 1 Γ h 1 ) / ( 1 / 2 Γ b 2 Γ h 2 ) on substituting in above equation , we get b 1 / b 2 = 16 / 9 therefore b 1 : b 2 = 16 : 9 c" | null |
Question: in what ratio must water be mixed with milk to gain 16 2 / 3 % on selling the mixture at cost price ?
A.1 : 9.
B.1 : 1.
C.1 : 2.
D.1 : 6.
e ) 1 : 5D.
required ratio is cheaper quantity : dearer quantity = ( d - m ) : ( m - c ) answer with explanation : step i ) let c . p of 1 litre of mild be rs . 1 and s . p of 1 litre of mild be rs . 1 gain = 50 / 3 per cent ο c . p of 1 litre of mixture = οΊ οΊ οΊ οΊ ο» οΉ οͺ οͺ οͺ οͺ ο« ο© ο« 1 3 50 100 100 x = re . 100 x 3 / 350 x 1 = 6 / 7 ( mean price ) step ( ii ) by the rule of allegation i . c . p of 1 liter of water = 0 ii . c . p of 1 liter of milk = 1 iii . mean price ( p ) = 6 / 7 iv . d β m = 1 β 6 / 7 = 1 / 7 v . m β c = 6 / 7 - 0 = 6 / 7 ο ratio of water and milk = 1 / 7 : 6 / 7 = 1 : 6 answer : d | null |
Question: 9 friends decided to divide the hotel bill evenly . if the bill was $ 124.15 dollars , how much money did they pay if 1 cent is the smallest unit ?
A.$ 124.11.
B.$ 124.12.
C.$ 124.13.
D.$ 124.14.
e ) $ 124.15A.
this is equivalent to finding the first number that is divisible by 9 that occurs after 12415 . in order to divide the sum in 9 parts , the amount must be divisible by 9 divisibility rule of 9 : the sum of the digits must be divisible by 9 sum of digits of 12415 = 13 and 9 is divisible by 9 . hence , we need to remove 4 to this number for it to be divisible by 9 correct option : a | null |
Question: on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 36 miles on saturday and sunday , how many miles did bill run on sunday ?
A.5.
B.6.
C.7.
D.8.
e ) 10E.
"let bill run x on saturday , so he will run x + 4 on sunday . . julia will run 2 * ( x + 4 ) on sunday . . totai = x + x + 4 + 2 x + 8 = 36 . . 4 x + 12 = 36 . . x = 6 . . ans = x + 4 = 6 + 4 = 10 answer e" | null |
Question: in a room with 8 people , 5 people have exactly 1 friend in the room and 4 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ?
A.5 / 21.
B.3 / 7.
C.4 / 7.
D.5 / 7.
e ) 25 / 28E.
"( 5 / 8 ) ( 6 / 7 ) + ( 4 / 8 ) ( 5 / 7 ) if you choose one of the 5 with one other friend , then you have a 6 / 7 chance of not picking their friend 2 nd . if you choose one of the 4 with 2 friends , you have a 5 / 7 chance of not picking one of their friends second . add them up . 30 / 56 + 20 / 56 50 / 56 = 25 / 28 e . 25 / 28" | null |
Question: the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 2000 resolutions ?
A.1187 m.
B.1704 m.
C.2816 m.
D.2827 m.
e ) 2897 mC.
"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 2000 resolutions . = 2000 * 2 * 22 / 7 * 22.4 = 281600 cm = 2816 m answer : c" | null |
Question: find the smallest number which should be multiplied with 560 to make it a perfect square .
A.60.
B.55.
C.45.
D.25.
e ) 35E.
"560 = 2 * 2 * 2 * 2 * 7 * 5 required smallest number = 7 * 5 = 35 35 is the smallest number which should be multiplied with 560 to make it a perfect square . answer : e" | null |
Question: earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 300 envelopes
A.6 minutes.
B.5 minutes.
C.7 minutes.
D.3 minutes.
e ) 4 minutesB.
"earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envlpes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 300 envelopes they will take 300 / 60 mins . i . e . , 5 mins . answer : b" | null |
Question: the sum of first 45 natural numbers is ?
A.1030.
B.1034.
C.1035.
D.1037.
e ) 1040C.
"let sn = ( 1 + 2 + 3 + . . . + 45 ) . this is an a . p . in which a = 1 , d = 1 , n = 45 . sn = n [ 2 a + ( n - 1 ) d ] = 45 x [ 2 x 1 + ( 45 - 1 ) x 1 ] = 45 x 46 = ( 45 x 23 ) 2 2 2 = 45 x ( 20 + 3 ) = 45 x 20 + 45 x 3 = 900 + 135 = 1035 . c )" | null |
Question: vehicle x is 22 miles ahead of vehicle y , which is traveling the same direction along the same route as vehicle x . if vehicle x is traveling at an average speed of 36 miles per hour and vehicle y is traveling at an average speed of 45 miles per hour , how long will it take vehicle y to overtake and drive 23 miles ahead of vehicle x ?
A.5 hours.
B.7 hours 20 minutes.
C.4 hours.
D.3 hours 45 minutes.
e ) 2 hours 30 minutesA.
relative speed = 45 - 36 = 9 miles per hour dist required = 22 + 23 = 45 miles time taken to overtake = 45 / 9 = 5 hours . a is the answer . | null |
Question: in the storage room of a certain bakery , the ratio of sugar to flour is 5 to 5 , and the ratio of flour to baking soda is 10 to 1 . if there were 60 more pounds of baking soda in the room , the ratio of flour to baking soda would be 8 to 1 . how many pounds of sugar are stored in the room ?
A.600.
B.1200.
C.1500.
D.1600.
e ) 2400E.
"sugar : flour = 5 : 5 = 10 : 10 ; flour : soda = 10 : 1 = 10 : 1 ; thus we have that sugar : flour : soda = 10 x : 10 x : 1 x . also given that 10 x / ( 1 x + 60 ) = 8 / 1 - - > x = 240 - - > sugar = 10 x = 2400 answer : e ." | null |
Question: the average weight of 8 person ' s increases by 3 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ?
A.94 kg.
B.85 kg.
C.90 kg.
D.100 kg.
e ) 110 kgA.
"total weight increased = ( 8 x 3 ) kg = 24 kg . weight of new person = ( 70 + 24 ) kg = 94 kg . answer : a" | null |
Question: a worker is paid a regular rate of rs . 10 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 30 % higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ?
A.605.
B.505.
C.105.
D.100.
e ) 200A.
"earning 35 surveys using her cell phone = 13 * 35 = 455 balance 15 surveys = 10 x 15 = 150 total = 455 + 150 = 605 answer : a" | null |
Question: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?
A.s . 9060.
B.s . 4520.
C.s . 4527.
D.s . 4530.
e ) s . 4521A.
"area of the four walls = 2 h ( l + b ) since there are doors and windows , area of the walls = 2 * 12 ( 15 + 25 ) - ( 6 * 3 ) - 3 ( 4 * 3 ) = 906 sq . ft . total cost = 906 * 10 = rs . 9060 answer : a" | null |
Question: a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 7 days . b can do the work alone in ?
A.19.
B.12.
C.11.
D.42.
e ) 114D.
"suppose a , b and c take x , x / 2 and x / 3 respectively to finish the work . then , ( 1 / x + 2 / x + 3 / x ) = 1 / 7 6 / x = 1 / 7 = > x = 42 so , b takes 21 hours to finish the work . answer : d" | null |
Question: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 3 β€ x β€ 2 and 4 β€ y β€ 9 , then how many different triangles can be drawn that will meet these conditions ?
A.54.
B.432.
C.2,160.
D.2,916.
e ) 148,824B.
"we have the rectangle with dimensions 9 * 3 ( 9 horizontal dots and 3 vertical ) . ab is parallel to y - axis and ac is parallel to x - axis . choose the ( x , y ) coordinates for vertex a : 9 c 1 * 3 c 1 ; choose the x coordinate for vertex c ( as y coordinate is fixed by a ) : 8 c 1 , ( 9 - 1 = 8 as 1 horizontal dot is already occupied by a ) ; choose the y coordinate for vertex b ( as x coordinate is fixed by a ) : 2 c 1 , ( 3 - 1 = 2 as 1 vertical dot is already occupied by a ) . 9 c 1 * 3 c 1 * 8 c 1 * 2 c 1 = 432 . answer : b ." | null |
Question: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 7 minutes , then the area of the park ( in sq . m ) is
A.153200.
B.153400.
C.153600.
D.154000.
e ) 117600E.
"perimeter = distance covered in 7 min . = 12000 x 7 m = 1400 m . 60 let length = 3 x metres and breadth = 2 x metres . then , 2 ( 3 x + 2 x ) = 1400 or x = 140 . length = 420 m and breadth = 280 m . area = ( 420 x 280 ) m 2 = 117600 m 2 . e" | null |
Question: a man can swim in still water at 4.5 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?
A.1.0.
B.1.9.
C.1.6.
D.1.5.
e ) 1.1D.
"m = 4.5 s = x ds = 4.5 + x us = 4.5 + x 4.5 + x = ( 4.5 - x ) 2 4.5 + x = 9 - 2 x 3 x = 4.5 x = 1.5 answer : d" | null |
Question: 0.99998 + 0.11112 = ?
A.1.
B.1.0001.
C.1.0021.
D.1.1111.
e ) 1.111D.
"0.99998 + 0.11112 = 0.99998 + 0.1111 + 0.00002 = ( 0.99998 + 0.00002 ) + 0.1111 = 1 + 0.1111 = 1.1111 d" | null |
Question: there are 2 red chips and 3 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ?
A.A.10.
B.B.12.
C.C.24.
D.D.60.
e ) e ) 100E.
"using anagram method : 5 _ 4 _ 3 _ 2 _ 1 r _ r _ r _ b _ b so . . 5 ! / number of repeated letters ( 2 ! ) ( 3 ! ) = 10 ans : e" | null |
Question: in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 700 m ?
A.148.75 m.
B.127.5 m ..
C.122.2 m.
D.222.9 m.
e ) 12289 mA.
"when a runs 1000 m , b runs 900 m and when b runs 800 m , c runs 700 m . when b runs 900 m , distance that c runs = ( 900 * 700 ) / 800 = 6300 / 8 = 787.5 m . in a race of 1000 m , a beats c by ( 1000 - 787.5 ) = 212.5 m to c . in a race of 700 m , the number of meters by which a beats c = ( 700 * 212.5 ) / 1000 = 148.75 m . answer : a" | null |
Question: ifaequals the sum of the even integers from 2 to 120 , inclusive , andbequals the sum of the odd integers from 1 to 119 , inclusive , what is the value of a - b ?
A.60.
B.10.
C.19.
D.20.
e ) 21A.
"this is a solution from beatthegmat : even numbers : ( 120 - 2 ) / 2 + 1 = 60 even integers . ( 120 + 2 ) / 2 = 61 is the average of the even set . sum = avg * ( # of elements ) = 61 * 60 = 3660 = a odd numbers : ( 119 - 1 ) / 2 + 1 = 60 odd integers . ( 119 + 1 ) / 2 = 60 is the average of the odd set . sum = avg * ( # of elements ) = 60 * 60 = 3600 = b a - b = 3660 - 3600 = 60 . answer : a" | null |
Question: the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 10 more than the number who did not , and if receipts for registration and lunch totaled $ 61720 , how many people paid just for registration at the meeting ?
A.700.
B.800.
C.1,300.
D.500.
e ) 1,800D.
"hope this might be useful to you . let the number of people who have opted only to register = x now since the registration cost is 50 $ per person , the total amount sums to = 50 x $ as per the information given in the question , the number of registrants who paid for lunch was 10 more than the number who did not . that means , total number of people who registered and paid for lunch = 10 + x . for the people who registered for lunch the cost is 50 $ ( for the event registration ) + 22 $ ( for lunch ) = 72 $ . total amount in this case sums to = 72 ( 10 + x ) = 720 + 72 x now , total amount received was 61,720 . thus , from the above data , 50 x + 720 + 72 x = 61720 122 x = 61720 - 720 122 x = 61000 x = 500 . hence the correct ans is d" | null |
Question: at what price must an article costing rs . 47.50 be marked in order that after deducting 7 % from the list price . it may be sold at a profit of 25 % on the cost price ?
A.63.84.
B.62.6.
C.62.1.
D.62.7.
e ) 62.2A.
"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 93 / 100 ) = 59.375 mp = 63.84 answer : a" | null |
Question: in may mrs lee ' s earnings were 50 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?
A.55.
B.56.
C.34.
D.78.
e ) 23A.
lets say the family income is 100 in may , lee earned 50 family income is 50 in june , lee earned 20 % more than may , so it is ( 50 + 20 * 50 / 100 = 60 ) family income is same 50 in june lee ' s income percent is 60 * 100 / 110 ~ 55 ans is a | null |
Question: what is 30 % of 80 ?
A.24.
B.66.
C.367.
D.28.
e ) 267A.
"30 % of 80 = 30 / 100 Γ 80 = ( 30 Γ 80 ) / 100 = 2400 / 100 = 24 answer : a" | null |
Question: a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
A.20.
B.30.
C.35.
D.40.
e ) 55B.
"there are 6 books less ( 75 - 69 ) which represents 20 % of the loaned books ( 100 - 80 ) so total loaned out books = 30 answer b" | null |
Question: if an object travels 300 feet in 6 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )
A.30.
B.31.
C.32.
D.33.
e ) 34E.
"1 mile = 5280 feet = > 1 feet = 1 / 5280 miles if the object travels 300 feet in 6 sec then it travels 300 / 6 * 60 * 60 feet in 1 hour ( 1 hr = 60 min * 60 sec ) = 3600 * 50 feet in 1 hour = 180000 feet in 1 hr = 180000 / 5280 miles in 1 hour = 18000 / 528 miles / hr ~ 34 miles / hr answer - e" | null |
Question: there are 9 baskets numbered from 1 to 9 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket . if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process , how many apples were left in the end ?
A.440.
B.550.
C.660.
D.770.
e ) 880B.
"each child takes a total of 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 9 * 10 / 2 = 45 apples . the total number of apples taken by 10 children is 10 * 45 = 450 the number of apples left in the end is 1000 - 450 = 550 apples . the answer is b ." | null |
Question: in a sports club with 80 members , 48 play badminton and 46 play tennis and 7 do not play either . how many members play both badminton and tennis ?
['A.23', 'B.21', 'C.20', 'D.26', 'e ) 27']B.
48 + 46 = 94 but where as total number is 80 - 7 = 73 therefore answer is 94 - 73 = 21 hence answer is b | null |
Question: in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.60 . assuming that you fill up 3 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?
A.$ 287.50.
B.$ 290.40.
C.$ 293.30.
D.$ 296.20.
e ) $ 299.10E.
"the service cost of 3 vans and 2 trucks is 5 * 2.10 $ 10.50 the fuel in 3 vans is 3 * 65 = 195 liters the fuel in 2 trucks is 2 * 65 * 2.2 = 286 liters the total fuel ( vans + trucks ) = 481 liters the total fuel cost is 481 * 0.6 = $ 288.60 the total cost is $ 288.60 + $ 10.50 = $ 299.10 the answer is e ." | null |
Question: what is the ratio of 3 / 7 to the product 3 * ( 7 / 3 ) ?
A.3 : 7.
B.1 : 3.
C.3 : 21.
D.1 : 7.
e ) 3 : 49E.
"3 * ( 7 / 3 ) = 7 so , we need to find the ratio of 3 / 7 : 7 = > 3 : 49 hence , answer will be ( e ) 3 : 49" | null |
Question: ( 212 + 222 + 232 + . . . + 302 ) = ?
A.385.
B.2485.
C.2570.
D.3255.
e ) noneC.
"solution ( 212 + 222 + 232 + . . . + 302 ) = a + ( n - 1 ) d = last number . . . . . so 212 + ( n - 1 ) 10 = 302 . . . . . so n = 10 . so sum = n / 2 ( 2 a + ( n - 1 ) d ) = 10 / 2 ( 2 * 212 + 9 * 10 ) = 2570 . answer c" | null |
Question: a train of length 250 m crosses a bridge of length 150 m in 20 seconds . what is the speed of train ?
A.33.
B.27.
C.25.
D.22.
e ) 72E.
"sol : ( length of train + length of bridge ) = speed of train x time ( 250 + 150 ) = 20 x speed speed = 400 / 20 = 20 m / s = 72 km / h answer = e" | null |
Question: half a number plus 7 is 17 . what is the number ?
A.8.
B.9.
C.10.
D.11.
e ) 20E.
"let x be the number . always replace ` ` is ' ' with an equal sign ( 1 / 2 ) x + 7 = 17 ( 1 / 2 ) x = 17 - 7 ( 1 / 2 ) x = 20 x = 20 correct answer is e" | null |
Question: how much interest will $ 8,000 earn in 9 months at an annual rate of 6 % ?
A.$ 250.
B.$ 350.
C.$ 360.
D.$ 550.
e ) $ 650C.
"soln : - 9 months = 3 / 4 of year ; 6 % = 6 / 100 = 3 / 50 ; $ 8,000 ( principal ) * 3 / 50 ( interest rate ) * 3 / 4 ( time ) = $ 360 . answer : c" | null |
Question: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 343 , what is the common ratio of the g . p ?
A.3.
B.1 / 3.
C.2.
D.7.
e ) 1 / 7D.
"343 = ( a 1 + a 2 + a 3 + a 4 + a 5 + a 6 ) / ( a 1 + a 2 + a 3 ) factorize the same terms 343 = 1 + ( a 4 + a 5 + a 6 ) / ( a 1 + a 2 + a 3 ) write every term with respect to r a 1 = a 1 a 2 = a 1 * r ^ 1 a 3 = a 1 * r ^ 2 . . . . . . . . . 343 = 1 + ( a 1 ( r ^ 3 + r ^ 4 + r ^ 5 ) ) / ( a 1 ( 1 + r ^ 1 + r ^ 2 ) ) 342 = ( r ^ 3 ( 1 + r ^ 1 + r ^ 2 ) ) / ( ( 1 + r ^ 1 + r ^ 2 ) ) 342 = r ^ 3 r = 7 d" | null |
Question: bert and rebecca were looking at the price of a condominium . the price of the condominium was 50 % more than bert had in savings , and separately , the same price was also 25 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
A.1 : 6.
B.1 : 3.
C.1 : 2.
D.3 : 4.
e ) 5 : 6E.
"suppose bert had 100 so price becomes 150 , this 150 = 1.25 times r ' s saving . . so r ' s saving becomes 120 so required ratio is 100 : 120 = 5 : 6 answer : e" | null |
Question: a shopkeeper sells 500 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?
A.12.
B.27.
C.29.
D.50.
e ) 41E.
sp per metre = 18000 / 500 = rs . 36 loss per metre = rs . 5 cp per metre = 36 + 5 = rs . 41 . answer : e | null |
Question: the difference of two numbers is 1565 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?
A.A.270.
B.B.280.
C.C.290.
D.D.300.
e ) e ) 310E.
"let the smaller number be x . then larger number = ( x + 1565 ) . x + 1565 = 6 x + 15 5 x = 1550 x = 310 smaller number = 310 . e )" | null |
Question: how many even number in the range between 15 to 100 inclusive are not divisible by 3
A.29.
B.30.
C.31.
D.33.
e ) 46A.
"we have to find the number of terms that are divisible by 2 but not by 6 ( as the question asks for the even numbers only which are not divisible by 3 ) for 2 , 16,18 . . . 100 using ap formula , we can say 100 = 16 + ( n - 1 ) * 2 or n = 43 . for 6 , 18 , . . . 96 using ap formula , we can say 96 = 18 + ( n - 1 ) * 6 or n = 14 . hence , only divisible by 2 but not 3 = 43 - 14 = 29 . hence , answer a" | null |
Question: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 7 per metre approximately
A.4457.
B.10400.
C.4235.
D.4547.
e ) 4675B.
"explanation : area = ( 17.56 x 10000 ) m 2 = 175600 m 2 . Ο r 2 = 175600 β ( r ) 2 = ( 175600 x ( 7 / 22 ) ) β r = 236.37 m . circumference = 2 Ο r = ( 2 x ( 22 / 7 ) x 236.37 ) m = 1485.78 m . cost of fencing = rs . ( 1485.78 x 7 ) = rs . 10400 . answer : option b" | null |
Question: a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 50 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ?
A.500 ..
B.412 ..
C.432 ..
D.502 ..
e ) 522 .A.
"pastry is divided in 50 customers equally . so , total number of pastry must be a multiple of 50 only option a satisfies the condition , and hence is the answer" | null |
Question: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 2 m + n ?
A.11.
B.18.
C.20.
D.25.
e ) 35E.
k ^ 4 = 5400 β mn k ^ 4 = 3 ^ 3.2 ^ 3.5 ^ 2 . mn in order to make rhs a perfect power of 4 , we require it to be multiplied by 3 , 2 & 5 ^ 2 mn = 3 . 2.5 ^ 2 mn = 150 = 10 * 15 ( least possible ) answer = 2 * 10 + 15 = 35 answer : e | null |
Question: tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 7 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?
A.8 mph.
B.5.25 mph.
C.3.5 mph.
D.4 mph.
e ) 0.5 mphD.
"( 1 mph + 7 mph ) / 2 = 4 mph correct option is : d" | null |
Question: a train of 25 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.0 km long ?
A.2.5.
B.3.
C.5.
D.7.
e ) 9A.
"d = 25 * 60 + 1000 = 2500 m t = 2500 / 60 * 18 / 5 = 150 sec = 2.5 mins answer : a" | null |
Question: jerome anticipated that the webweb . com stock price would fall and sold all his webweb . com stocks for $ 5 per stock . he paid $ 10,000 tax on the revenue . a week later , jerome became convinced that the webweb . com stock price would rise , and he used the money that he had gotten from selling the webweb . com stocks to purchase them again , this time at $ 6 per stock . if jerome ended up having 7000 webweb . com stocks fewer than the number he had before selling them , how many webweb . com stocks did he have originally ?
A.10,000.
B.11,600.
C.17,000.
D.14,000.
e ) 16,400C.
"let the number of shares be x . 5 * x - 10000 ( money paid in taxes ) = 6 ( x - 7000 ) solving for x , we get the shares as 17000 . ans : ( option c )" | null |
Question: find the principle on a certain sum of money at 9 % per annum for 2 2 / 5 years if the amount being rs . 1120 ?
A.1000.
B.912.88.
C.927.78.
D.926.82.
e ) 921.05E.
1120 = p [ 1 + ( 9 * 12 / 5 ) / 100 ] p = 921.05 answer : e | null |
Question: if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number .
A.5 : 3.
B.2 : 5.
C.4 : 7.
D.5 : 2.
e ) none of theseA.
"explanation : let the first number is a and second number is b . as per question ( 40 / 100 ) a = ( 2 / 3 ) b a / b = 2 / 3 x 100 / 40 a / b = 5 / 3 = > a : b = 5 : 3 answer : option a" | null |
Question: vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at 8 % pa . a ?
A.5529.
B.5500.
C.5520.
D.5521.
e ) 5192B.
"let the amount lent out at 8 % p . a . be rs . a = > ( a * 8 ) / 100 + [ ( 10000 - a ) * 10 ] / 100 = 890 = > a = rs . 5500 . answer : b" | null |
Question: a man whose bowling average is 12.4 , takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ?
A.82.
B.83.
C.84.
D.85.
e ) 86D.
"12.4 x + 26 / ( 5 + x ) = 12 12.4 x + 26 = 60 + 12 x x = 34 / 0.4 = 85 answer : d" | null |
Question: anand finishes a work in 7 days , bittu finishes the same job in 8 days and chandu in 6 days . they take turns to finish the work . anand on the first day , bittu on the second and chandu on the third day and then anand again and so on . on which day will the work get over ?
A.3 rd.
B.6 th.
C.9 th.
D.7 th.
e ) 8 thD.
they completed 146 / 168 work in 6 days working one by one on eacg day . on 7 th day , 22 / 168 work is left which will be completed by anand on 7 th day . answer : d | null |
Question: if the product of two numbers is 45276 and their h . c . f . is 22 , find their l . c . m .
A.2574.
B.2500.
C.2100.
D.2058.
e ) none of theseD.
explanation : hcf * lcm = 45276 , because we know product of two numbers = product of hcf and lcm lcm = 45276 / 22 = 2058 option d | null |
Question: a person saved $ 10 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ?
A.8 %.
B.10 %.
C.2 %.
D.5 %.
e ) 6 %C.
"actual price = 500 + 10 = $ 510 saving = 10 / 510 * 100 = 100 / 51 = 2 % approximately answer is c" | null |
Question: okeydokey paid 5 apples at the apple investment booth for an unopened box of earthworms . artichokey paid 7 apples towards the same lot . the booth pays off earthworms proportional to the apples invested . the box turned out to contain 60 earthworms . how many of them should okeydokey receive ?
A.25.
B.27.
C.28.
D.29.
e ) 30A.
i 1 = 5 i 2 = 7 i 1 share 5 parts & i 2 share 7 parts total 12 parts - - - - - > 60 - - - - > 1 part - - - - - - - > 5 i 1 share = 5 parts - - - - - > 25 a | null |
Question: a glass was filled with 10 ounces of water , and 0.01 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?
A.0.002 %.
B.0.02 %.
C.0.2 %.
D.2 %.
e ) 20 %D.
"in 20 days 20 * 0.01 = 0.2 ounces of water evaporated , which is 0.2 / 10 β 100 = 2 of the original amount of water . answer : d ." | null |
Question: a certain store sells all maps at one price and all books at another price . on monday the store sold 10 maps and 8 books for a total of $ 22.00 , and on tuesday the store sold 20 maps and 15 books for a total of $ 60.00 . at this store , how much less does a map sell for than a book ?
A.$ - 5.4.
B.$ 0.50.
C.$ 0.75.
D.$ 1.00.
e ) $ l . 25A.
10 x + 8 y = 22 20 x + 15 y = 60 multiply eq 1 by 2 and eq 2 by 1 20 x + 16 y = 44 20 x + 15 y = 60 subtracting 1 from 2 y = - 16 therefore x = 10.6 difference in price = - 5.4 a | null |
Question: a 64 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?
A.8.
B.12.
C.13.
D.14.
e ) 16E.
amount of salt = 6.4 assume x gallons of water are added . 6.4 / 64 + x = 8 / 100 640 = 8 x + 512 8 x = 128 x = 16 correct option : e | null |
Question: a gambler bought $ 5,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ?
A.$ 4,040.
B.$ 4,120.
C.$ 1,960.
D.$ 4,920.
e ) $ 1,400B.
"in order to maximize the amount of money that the gambler kept , we should maximize # of $ 20 chips lost and minimize # of $ 100 chips lost , which means that # of $ 20 chips lost must be 2 more than # of $ 100 chips lost . so , if # of $ 20 chips lost is x then # of $ 100 chips lost should be x - 2 . now , given that total # of chips lost is 16 : x + x - 2 = 16 - - > x = 9 : 9 $ 20 chips were lost and 9 - 2 = 7 $ 100 chips were lost . total worth of chips lost is 9 * 20 + 7 * 100 = $ 880 , so the gambler kept $ 5,000 - $ 880 = $ 4,120 . answer : b ." | null |
Question: in the coordinate plane , line a has a slope of - 2 and an x - intercept of 2 . line b has a slope of 5 and a y - intercept of - 10 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ?
A.0.
B.1.
C.2.
D.3.
e ) 4C.
"the equation of line a is y = - 2 x + 4 the equation of line b is y = 5 x - 10 5 x - 10 = - 2 x + 4 x = 2 y = 0 the point of intersection is ( 2,0 ) and then a + b = 2 . the answer is c ." | null |
Question: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the integers between 100 and 200 ?
A.4545.
B.5050.
C.6525.
D.4352.
e ) 4652B.
"sum = 100 * 101 / 2 = 50 * 101 = 5050 answer is b" | null |
Question: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 50 days starting with sunday is
A.280.
B.285.
C.171.
D.295.
e ) 275C.
"explanation : as the month begin with sunday , so there will be five sundays in the month . so result will be : = ( 510 Γ 5 + 240 Γ 25 / 30 ) = ( 8550 / 50 ) = 171 answer : option c" | null |
Question: there are 200 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?
A.150.
B.100.
C.99.
D.50.
e ) 25B.
"there are 198 managers and 2 others . the 2 others would compose 2 % of the total number of people if there were 100 people in the room . thus 100 managers must leave . the answer is b ." | null |
Question: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ?
A.250001.
B.251001.
C.260101.
D.261001.
e ) none of theseB.
"answer given expression = a 2 + b 2 + 2 ab = ( a + b ) 2 where a = 387 and b = 114 = ( 387 + 114 ) 2 = ( 501 ) 2 = ( 500 + 1 ) 2 = ( 500 ) 2 + ( 1 ) 2 + 2 x 500 x 1 = 250000 + 1 + 1000 = 251001 . option : b" | null |
Question: if a and b are the roots of the equation x 2 - 9 x + 9 = 0 , then the value of a 2 + b 2 is :
A.63.
B.24.
C.17.
D.6.
e ) 5A.
"sol . ( b ) the sum of roots = a + b = 9 product of roots = ab = 9 now , a 2 + b 2 = ( a + b ) 2 - 2 ab = 81 - 18 = 63 answer a" | null |
Question: a light has a rating of 80 watts , it is replaced with a new light that has 25 % higher wattage . how many watts does the new light have ?
A.105.
B.95.
C.80.
D.60.
e ) 100E.
"final number = initial number + 25 % ( original number ) = 80 + 25 % ( 80 ) = 80 + 20 = 100 . answer e" | null |
Question: in the class of 40 students , 30 speak hindi and 20 speak english . what is the lowest possible number of students who speak both the languages ?
A.10.
B.15.
C.20.
D.25.
e ) 30A.
let the student who speaks hindi - x let the student who speaks english - y as ( xuy ) - ( xny ) = total 30 + 20 - ( xny ) = 40 = 10 a ) | null |
Question: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 30 % 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.18 %.
B.20 %.
C.30 %.
D.23 %.
e ) can not be determinedC.
answer : c . | null |
Question: if k is an integer and 0.00010101 x 10 ^ k is greater than 100 , what is the least possible value of k ?
A.3.
B.4.
C.5.
D.6.
e ) 7D.
0.00010101 * 10 ^ k > 100 we need to move the decimal point to the right 6 places to get 101.01 this is equivalent to multiplying by 10 ^ 6 . the answer is d . | null |
Question: how many numbers from 10 to 50 are exactly divisible by 3 .
A.13.
B.14.
C.16.
D.17.
e ) 19A.
"12 , 15 , 18 , 21 , 24 , 27 , 30 , 33 , 36 , 39 , 42 , 45,48 . 13 numbers . 10 / 3 = 3 and 50 / 3 = 16 = = > 16 - 3 = 13 . therefore 13 digits . a )" | null |
Question: the ratio of laxmi ' s age to the age of her mother is 3 : 11 . the difference of their ages is 24 years . the ratio of their ages after 3 years will be ?
A.1 : 9.
B.1 : 3.
C.1 : 2.
D.1 : 1.
e ) 3 : 3B.
suppose age of laxmi is x years . the difference of their ages \ inline \ therefore ratio of their ages after 3 years = = = 12 : 36 = 1 : 3 answer : b | null |
Question: what is the total number of integers between 10 and 50 that are divisible by 2 ?
A.18.
B.19.
C.22.
D.25.
e ) 10B.
"12 , 14 , 16 , . . . , 46,48 this is an equally spaced list ; you can use the formula : n = ( largest - smallest ) / ( ' space ' ) + 1 = ( 48 - 12 ) / ( 2 ) + 1 = 36 / 2 + 1 = 18 + 1 = 19 answer is b" | null |
Question: company x provides bottled water to its employees in 10 liter bottles , $ 2 each . at least how many 10 l bottles must company x buy monthly , so that new contract with $ 50 fixed monthly rate and $ 1 for 50 l bottle each paid off ? ( assume that no other costs apply )
A.28.
B.29.
C.30.
D.31.
e ) 32A.
let the no . of 10 liter bottles be x , so the no . of 50 l bottles will be x / 5 ( to equate the vol . ) since the total cost will be equal , 2 x = 50 + x / 5 so x = 27.77 or 28 . answer is ( a ) . | null |
Question: solution y is 30 percent liquid x and 70 percent water . if 2 kilograms of water evaporate from 6 kilograms of solution y and 2 kilograms of solution y are added to the remaining 4 kilograms of liquid , what percent of this new solution is liquid x ?
A.33 %.
B.35 1 / 2 %.
C.37 %.
D.40 %.
e ) 42 %D.
"in 8 kilograms of solution y there are 0.3 * 6 = 1.8 kilograms of solution x ; after 2 kilograms of water are replaced by 2 kilograms of solution y , to the existing 1.8 kilograms of solution x , 0.3 * 2 = 0.6 kilograms of solution x are added , so in the new solution of 6 kilograms there are 1.8 + 0.6 = 2.4 kilograms of solution x , which is 2.4 / 6 * 100 = 40 % of this new solution . answer : d ." | null |
Question: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3312 , how much was it in the beginning ?
A.A.3800.
B.B.4200.
C.C.4400.
D.D.4500.
e ) e ) 4600E.
"x * ( 90 / 100 ) * ( 80 / 100 ) = 3312 x = 4600 answer : e" | null |
Question: a is twice as good a workman as b and they took 11 days together to do the work b alone can do it in .
A.17 days.
B.12 days.
C.29 days.
D.25 days.
e ) 33 daysE.
"wc = 2 : 1 2 x + x = 1 / 11 x = 1 / 33 = > 33 days answer : e" | null |
Question: 160 % of 5 / 8 =
A.0.2.
B.0.5.
C.0.6.
D.0.75.
e ) 1.0E.
"should be simple . 1.6 * 5 / 8 = 8 / 8 = 1.0 correct option : e" | null |
Question: what is the sum of all the multiples of 9 between 0 and 99 ?
A.500.
B.594.
C.450.
D.340.
e ) 440B.
"the multiples of 9 between 0 and 99 are 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 , 81 , 90 , 99 . if these are all added together , the result is 594 . final answer : b" | null |
Question: if the price of 357 apples is rs . 1517.25 , what will be the approximate price of 49 dozens of such apples ?
A.rs . 2500.
B.rs . 2300.
C.rs . 2200.
D.rs . 1400.
e ) rs . 1600A.
explanation : price of 357 apples = rs . 1517.25 price of 1 apple = rs . 1517.25 / 357 price of 49 dozens apples = rs ( 49 Γ 12 Γ 1517.25 / 357 ) β rs . 2500 answer : option a | null |
Question: in the first 10 overs of a cricket game , the run rate was only 3.8 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
A.6.25.
B.6.5.
C.6.75.
D.6.1.
e ) 8D.
"10 overs - run rate = 3.8 runs scored in first 10 overs = 38 remaining overs 40 total runs to be scored = 282 38 runs already scored 282 - 38 = 244 244 runs to be scored in 40 overs let required runrate be x 40 * x = 244 x = 244 / 40 x = 6.1 the required runrate is 6.1 answer : d" | null |
Question: a person buys an article at rs . 480 . at what price should he sell the article so as to make a profit of 24 % ?
A.595.
B.882.
C.772.
D.662.
e ) 521A.
"cost price = rs . 480 profit = 24 % of 480 = rs . 115 selling price = cost price + profit = 480 + 115 = 595 answer : a" | null |
Question: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110 ?
A.10.
B.25.
C.55.
D.75.
e ) 100C.
surprisingly no one answered this easy one . property of a set of consecutive integerz . mean = median = ( first element + last element ) / 2 = ( second element + last but one element ) / 2 = ( third element + third last element ) / 2 etc . etc . so mean = median = 110 / 2 = 55 answer is c | null |
Question: roses can be purchased individually for $ 6.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ?
A.156.
B.162.
C.316.
D.324.
e ) 325C.
"buy as many $ 50 deals as possible . we can by 650 / 50 = 13 two dozen roses , thus total of 13 * 24 = 312 roses . we are left with 680 - 650 = $ 30 . we can buy 30 / 6.3 = ~ 4 roses for that amount . total = 312 + 4 = 316 . answer : c ." | null |
Question: the sub - duplicate ratio of 25 : 49 is
A.4 : 3.
B.5 : 7.
C.6 : 4.
D.1 : 4.
e ) 2 : 3B.
"root ( 25 ) : root ( 49 ) = 5 : 7 answer : b" | null |
Question: a man walking at a rate of 10 km / hr crosses a bridge in 24 minutes . the length of the bridge is ?
A.1521.
B.1492.
C.1667.
D.4000.
e ) 1112D.
"speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 24 minutes = 50 / 18 * 24 * 60 = 4000 m answer is d" | null |
Question: find the ratio in which rice at rs . 7.10 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ?
A.1 : 3.
B.2 : 3.
C.3 : 4.
D.4 : 5.
e ) none of theseC.
"solution required ratio = 60 : 80 = 3 : 4 answer c" | null |
Question: 11 : 35 : : 17 : ?
A.3.
B.22.
C.58.
D.10.
e ) 54D.
"11 : 35 : : 17 : x 11 x : 35 x 17 11 x = 595 x = 54 answer : d" | null |
Question: a class consists of 15 biology students and 10 chemistry students . if you pick two students at the same time , what ' s the probability that one is maths and one is chemistry ?
A.2 / 7.
B.5 / 7.
C.1 / 2.
D.3 / 7.
e ) 1 / 2C.
p ( 1 st b , 2 nd c ) = 15 / 25 * 10 / 24 = 150 / 600 = 1 / 4 ; p ( 1 st c , 2 nd b ) = 10 / 25 * 15 / 24 = 150 / 600 = 1 / 4 . p = 1 / 4 + 1 / 4 = 1 / 2 . answer : c . | null |
Question: an aeroplane covers a certain distance of 420 kmph in 6 hours . to cover the same distance in 4 2 / 3 hours , it must travel at a speed of
A.440.
B.540.
C.640.
D.740.
e ) 250B.
"speed of aeroplane = 420 kmph distance travelled in 6 hours = 420 * 6 = 2520 km speed of aeroplane to acver 2520 km in 14 / 3 = 2520 * 3 / 14 = 540 km answer b ." | null |
Question: jane and thomas are among the 8 people from which a committee of 4 people is to be selected . how many different possible committees of 4 people can be selected from these 8 people if at least one of either jane or thomas is to be selected ?
A.28.
B.46.
C.55.
D.63.
e ) 70C.
"solution : j + t + 6 = total 8 , we need to select at least one of the j and t or both = total 4 out of 8 - 4 out of 6 8 c 4 - 6 c 4 = 55 ans : c" | null |
Question: the average mark of the students of a class in a particular exam is 80 . if 8 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam .
A.15.
B.25.
C.35.
D.45.
e ) 56E.
"let the number of students who wrote the exam be x . total marks of students = 80 x . total marks of ( x - 8 ) students = 90 ( x - 8 ) 80 x - ( 8 * 20 ) = 90 ( x - 8 ) 560 = 10 x = > x = 56 answer : e" | null |
Question: what is the smallest integer k for which 64 ^ k > 4 ^ 17 ?
A.4.
B.5.
C.6.
D.7.
e ) 8C.
"64 ^ k > 4 ^ 17 4 ^ ( 3 k ) > 4 ^ 17 3 k > 17 k = 6 the answer is c ." | null |
Question: a rectangular swimming pool is 20 feet by 18 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 624 square feet . what is the width of the deck ?
A.2.
B.3.
C.4.
D.5.
e ) 6B.
"let the width = w total area of the pool and deck = ( 2 w + 20 ) ( 2 w + 18 ) we can test the answer choices along with unit digit method a ) 2 feet . . . . . . . . . . . 24 * 22 has unit digit 8 . . . . . . . . . . eliminate b ) 2.5 feet . . . . . . . . . 25 * 23 has unit digit 5 . . . . . . . . . . eliminate c ) 3 feet . . . . . . . . . . . . 26 * 24 has unit digit 4 . . . . . . . . . . . hold d ) 4 feet . . . . . . . . . . . . 28 * 26 has unit digit 8 . . . . . . . . . . . eliminate e ) 5 feet . . . . . . . . . . . . 30 * 38 has unit digit 0 . . . . . . . . . . . eliminate answer : b w = 3" | null |
Question: what is the least integer greater than 0 + 0.5 ?
A.β 2.
B.β 1.
C.0.
D.1.
e ) 2D.
"this question is just about doing careful arithmetic and remembering what makes a numberbiggerorsmallercompared to another number . first , let ' s take care of the arithmetic : ( 0 ) + ( 0.5 ) = 0.5 on a number line , since we ' re adding + . 5 to a number , the total moves to the right ( so we ' re moving from 0 to 0.5 ) . next , the question asks for the least integer that is greater than 0.5 again , we can use a number line . numbers become greater as you move to the right . the first integer to the right of 0.5 is 1 . final answer : d" | null |
Question: two diagonals of a rhombus are 72 cm and 30 cm respectively . what is its perimeter ?
['A.136 cm', 'B.156 cm', 'C.144 cm', 'D.121 cm', 'e ) 126 cm']B.
all sides of rhombus are congruent let pr = 72 sq = 30 cm po = 0 r = 72 / 1 = 36 cm so = 0 q = 30 / 2 = 15 cm pq = qr = rs = sp = root ( 36 ^ 2 + 15 ^ 2 ) = rppt ( 1296 + 225 ) = root ( 1521 ) = 39 cm perimeter = 4 * 39 = 156 cm answer b | null |
Question: to fill a tank , 25 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3 / 10 of its present ?
A.61.5.
B.60.5.
C.63.5.
D.83.333.
e ) 64.5D.
"let capacity of 1 bucket = x capacity of the tank = 25 x new capacity of the bucket = 3 x / 10 hence , number of buckets needed = 25 x / ( 3 x / 10 ) = ( 25 Γ 10 ) / 3 = 83.33333 answer is d ." | null |
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