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Question: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ?
A.4.
B.5.
C.6.
D.7.
e ) 8A.
"m = 45 s = 1.5 ds = 6 us = 3 as = ( 2 * 6 * 3 ) / 9 = 4 answer : a" | null |
Question: if a sum of money doubles itself in 25 years at simple interest , the ratepercent per annum is
A.12.
B.12.5.
C.13.
D.13.5.
e ) 4E.
"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 25 ) = 4 option e" | null |
Question: a company produces 50000 bottles of water everyday . if a case can hold 25 bottles of water . how many cases are required by the company to hold its one day production
A.2000.
B.4500.
C.5000.
D.8000.
e ) 9000A.
"number of bottles that can be held in a case = 25 number of cases required to hold 50000 bottles = 50000 / 25 = 2000 cases . so the answer is a = 2000" | null |
Question: a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ?
A.1000.
B.1250.
C.1300.
D.1600.
e ) 2125E.
"since pumping in additional 700 gallons of water will increase the amount of water in the pool by 30 % , then initially the pool is filled with 1,000 gallons of water . so , we have that 1,000 + 700 = 0.8 * { total } - - > { total } = 2,125 . answer : e ." | null |
Question: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 4356 , the number of the member is the group is :
A.57.
B.66.
C.77.
D.87.
e ) 97B.
"money collected = ( 43.56 x 100 ) paise = 4356 paise . number of members = square root of 4356 = 66 . answer : option b" | null |
Question: the difference of two numbers is 2 and the difference of their squares is 12 . the sum of the number is
A.6.
B.8.
C.10.
D.22.
e ) 24A.
"explanation : let the numbers be a , b ; ⇒ a - b = 2 and a 2 − b 2 = 12 a + b = a 2 − b 2 / a − b = 12 / 2 = 6 correct option : a" | null |
Question: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 25 gallons of gasoline ?
A.190.
B.284.6.
C.300.
D.305.
e ) 312D.
"to maximize the distance that suv could be driven on 25 gallons of gasoline , we need consider only highway driving . max distance = 25 * 12.2 = 305 answer d" | null |
Question: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 120 only . men â € ™ s wages are ?
A.6 rs.
B.2 rs.
C.4 rs.
D.9 rs.
e ) 8 rsE.
"5 m = xw = 8 b 5 m + xw + 8 b - - - - - 120 rs . 5 m + 5 m + 5 m - - - - - 120 rs . 15 m - - - - - - 120 rs . = > 1 m = 8 rs . answer : e" | null |
Question: 3 / 5 of all married couples have more than one child . 1 / 4 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?
A.1 / 5.
B.b . 1 / 4.
C.7 / 20.
D.3 / 5.
e ) it can not be determined from the given information .C.
"plug in simple numbers . take 100 couples for example . 3 / 5 of 100 couples have more than one child = 60 couples . 1 / 4 of 100 couples have more than 3 kids = 25 couples . this implies that 25 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples , which equals 40 couples have either one or no kids at all . we need to find couples that have 2 or 3 kids , so essentially , it is 60 - 25 = 35 . fraction will be 35 / 100 = 7 / 20 . option c" | null |
Question: a and b are two partially filled buckets of water . if 5 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 4 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ?
A.11.
B.52 / 5.
C.17.
D.21.
e ) 23B.
"let a contains a , b contains b liters so , ( a - 5 ) / ( b + 5 ) = 1 / 3 . . . . . . . ( 1 ) again , ( b - 4 ) / ( a + 4 ) = 1 / 2 . . . . . . . . . . ( 2 ) from ( 1 ) ( 2 ) we find a = 52 / 5 ans : ( b )" | null |
Question: a company pays 12.5 % dividend to its investors . if an investor buys rs . 60 shares and gets 25 % on investment , at what price did the investor buy the shares ?
A.25.
B.66.
C.30.
D.19.
e ) 01C.
explanation : dividend on 1 share = ( 12.5 * 60 ) / 100 = rs . 7.5 rs . 25 is income on an investment of rs . 100 rs . 7.5 is income on an investment of rs . ( 7.5 * 100 ) / 25 = rs . 30 answer : c | null |
Question: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,500 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ?
A.38,000.
B.40,000.
C.42,500.
D.45,500.
e ) 48,500D.
"median is just the value in the middle when you arrange all values in the ascending order in this question , the 7 th value would be the median ( since there are 13 employees ) 38 , 40 , 40 , 40 , 42.5 , 42.5 , 45.5 so , answer is d ." | null |
Question: what is the 10 digit to the right of the decimal point , in the decimal expansion of ( 1 / 2 ) ^ 10 ?
A.9.
B.4.
C.2.
D.1.
e ) 5E.
step 1 convert fraction to decimal with two decimal places 1 / 2 = 0.50 then convert to scientific number = 5 * 10 ^ - 1 step 2 multiply 5 ^ 10 by 10 ^ - 10 step 3 5 has the sequence 5 , 25 , 125 answer is e | null |
Question: find the curved surface area , if the radius of a cone is 35 m and slant height is 30 m ?
A.1100.
B.2200.
C.3300.
D.4400.
e ) 5500C.
"cone curved surface area = ï € rl 22 / 7 ã — 35 ã — 30 = 110 ã — 30 = 3300 m ( power 2 ) answer is c ." | null |
Question: the sum of two numbers is 20 and the sum of their squares is 140 . find the product of the two numbers .
A.130.
B.140.
C.120.
D.145.
e ) 150A.
let a and b be the two numbers ( a + b ) ^ 2 = a ^ 2 + 2 ab + b ^ 2 given ( a + b ) = 20 a ^ 2 + b ^ 2 = 140 so , 20 ^ 2 = 140 + 2 ab 2 ab = 400 - 140 2 ab = 260 ab = 130 ans a | null |
Question: a man have 8 t - shirt and some pant . he can dress in 72 ways . then tell me the no . of pant that man have .
A.8.
B.9.
C.10.
D.11.
e ) 12B.
let he have x pant . by fundamental principle total no . of ways in which he can dress = 8 x 8 x = 72 x = 9 pants answer b | null |
Question: on average , machine a will produce a completed item once every 4 minutes , and machine b will produce a completed item once every 5 minutes . the number of items machine a produces in a 24 - hour period is approximately what percent greater than the number of items machine b would produce in that same period ?
A.25 %.
B.15 %.
C.45 %.
D.33 %.
e ) 55 %A.
machine a : 1 item in 4 minutes - - > 1 / 4 items in 1 minute ; machine b : 1 item in 5 minutes - - > 1 / 5 items in 1 minute . in the same time period , machine a produces ( 1 / 4 - 1 / 5 ) / ( 1 / 5 ) * 100 = ~ 25 % more items than machine b . answer : a . | null |
Question: what is the divisor ? the dividend is 76 , the remainder is 8 , the quotient is 4
A.32.
B.48.
C.67.
D.17.
e ) 26D.
divisor = dividend - remainder divided by the quotient divisor = 76 - 8 divided by 4 divisor = 68 / 4 divisor = 17 | null |
Question: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?
A.2 / 3.
B.3 / 5.
C.3 / 10.
D.8 / 15.
e ) 11 / 30D.
"p ( female ) = 150 / 450 = 1 / 3 p ( male with advanced degree ) = 0.3 * 300 / 450 = 90 / 450 = 1 / 5 the sum of the probabilities is 8 / 15 the answer is d ." | null |
Question: at what rate percent per annum will a sum of money double in 6 years .
A.12.5 %.
B.13.5 %.
C.11.5 %.
D.14.5 %.
e ) 16.6 %E.
"let principal = p , then , s . i . = p and time = 8 years rate = [ ( 100 x p ) / ( p x 6 ) ] % = 16.6 % per annum . answer : e" | null |
Question: if 8 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ?
A.20.
B.24.
C.36.
D.48.
e ) 60D.
"let the capacity of the tank = c ( 3 / 4 ) c + 8 = ( 9 / 10 ) c = > ( 9 / 10 ) c - ( 3 / 4 ) c = 8 = > ( 3 / 20 ) c = 8 = > c = ( 8 * 20 ) / 3 = 53.33 number of gallons of gasoline that the tank currently holds = 3 / 4 * c + 8 = 39.99 + 8 = 47.99 = 48 answer d" | null |
Question: a certain company ’ s profit in 1996 was 15 percent greater than its profit in 1995 , and its profit in 1997 was 20 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?
A.5 %.
B.18 %.
C.33 %.
D.35 %.
e ) 38 %E.
"soln : - profit in 1995 - 100 profit in 1996 - 115 % increase profit in 1997 in comparison to 1995 = 15 + 115 * 20 % = 38 % answer : e" | null |
Question: what percent of 250 is 45 ?
A.0.25 %.
B.18 %.
C.25 %.
D.40 %.
e ) 250 %B.
"250 * x / 100 = 45 x = 45 * 10 / 25 x = 18 ans : b" | null |
Question: i chose a number and divide it by 2 . then i subtracted 100 from the result and got 4 . what was the number i chose ?
A.200.
B.208.
C.400.
D.500.
e ) 100B.
"let x be the number i chose , then x / 2 − 100 = 4 x / 2 = 104 x = 208 answer is b ." | null |
Question: the perimeter of an isosceles right triangle is 12 + 12 sq rt 2 . what is the length of the hypotenuse of the triangle ?
['A.5', 'B.6', 'C.7', 'D.8.485', 'e ) 8']D.
side of triangle is a then perimeter = a + a + a . sqrt 2 ( right angle and pythagorus ) = 2 a + a . sqrt 2 = 12 + 12 sqrt 2 or , a . ( 2 + sqrt 2 ) = 12 ( 1 + sqrt 2 ) , a = 12 * ( 1 + sqrt 2 ) / 2 + sqrt 2 = 12 * 2.414 / 3.414 = then hypotenuse = 8.485 d | null |
Question: what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 12 ?
A.5.
B.6.
C.7.
D.8.
e ) 9A.
"denote | x - 3 | as y : y ^ 2 + y = 12 - - > y = - 4 or y = 3 . discard the first solution since y = | x - 3 | , so it ' s an absolute value and thus can not be negative . y = | x - 3 | = 3 - - > x = 6 or x = - 1 . the sum = 5 . answer : a ." | null |
Question: a certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ?
A.25 %.
B.33 1 / 3 %.
C.50 %.
D.66 2 / 3 %.
e ) 20 %E.
"general formula for percent increase or decrease , ( percent change ) : percent = change / original ∗ 100 so , the time between maintenance checks increased by 60 − 50 / 50 ∗ 100 = 20 answer : e ." | null |
Question: given that 268 * 74 = 19832 , find the values of 2.68 * 0.74 .
A.1.9328.
B.1.9832.
C.1.9823.
D.1.9382.
e ) none of themB.
sum of decimal places = ( 2 + 2 ) = 4 2.68 * 0.74 = 1.9832 . answer is b . | null |
Question: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________
A.0.45.
B.0.4.
C.0.5.
D.0.05.
e ) 0.6C.
"we are apply that formula . . . . . . . . . . . . . . p ( aorb ) = p ( a ) + p ( b ) - p ( a and b ) = . 25 + . 40 - . 15 = . 50 but the probability of neither a nor b = 1 - . 50 = 0.50 answer : c" | null |
Question: a pump can fill a tank with a water in 2 hours . because of a leak , it took 3 and 1 / 3 hours to fill the tank . the leak can drain all the water of the full tank in how many hours ?
A.5 hrs.
B.7 hrs.
C.12 hrs.
D.14 hrs.
e ) 16 hrsA.
"the rate of the pump + leak = 3 / 10 1 / 2 - leak ' s rate = 3 / 10 leak ' s rate = 1 / 5 the leak will empty the tank in 5 hours . the answer is a ." | null |
Question: if henry were to add 9 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ?
A.25.
B.40.
C.64.
D.72.
e ) 96D.
"7 / 8 x - 3 / 4 x = 9 galls 1 / 8 * x = 9 gallons x = 72 gallons answer d" | null |
Question: bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne ’ s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many w hours does it currently take anne to clean the house on her own ?
A.6.
B.7.
C.8.
D.12.
e ) 14D.
"lets suppose anne and bruce take a and b hrs working separately so in 1 hour they can together finish 1 / a + 1 / b portion of the work which equals 1 / 4 ( as the work is completed in 4 hours ) after anne doubles her rate of work the portion completed by the both is 1 / a + 2 / b which is w equal to 1 / 3 ( as the work is completed in w = 3 hours ) solving these 2 equations we can find b as 12 so , d" | null |
Question: the price of an item is discounted 10 percent on day 1 of a sale . on day 2 , the item is discounted another 10 percent , and on day 3 , it is discounted an additional 30 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
A.28 %.
B.63 %.
C.64.8 %.
D.70 %.
e ) 72 %B.
"let initial price be 1000 price in day 1 after 10 % discount = 900 price in day 2 after 10 % discount = 810 price in day 3 after 30 % discount = 567 so , price in day 3 as percentage of the sale price on day 1 will be = 567 / 900 * 100 = > 63 % answer will definitely be ( b )" | null |
Question: the price of a book is increased from $ 300 to $ 330 . what is the % of increase in its price ?
A.10 %.
B.20 %.
C.30 %.
D.35 %.
e ) 45 %A.
explanation : change in the price = rs 330 – rs 300 = rs 30 percentage of increase = change in the price initial price * 100 . percentage increase in price = ( 30 / 300 ) * 100 = 10 % a | null |
Question: a sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest . what is the rate of interest ?
A.12 %.
B.11 %.
C.16 %.
D.15 %.
e ) 18 %B.
"b 11 % s . i . = ( 19800 - 14800 ) = 5000 . rate = ( 100 x 5000 ) / ( 14800 x 3 ) % = 11 %" | null |
Question: a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 360 - mile journey ? assume that the train makes no intermediate stops .
A.8.
B.8.5.
C.9.
D.9.5.
e ) 10A.
"a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 360 - mile journey ? assume that the train makes no intermediate stops . i think the easiest way to solve this problem would be simply to count the number of miles it travels per hour ( and in total ) hour miles / hour total miles 1 10 10 2 20 30 3 30 60 4 40 100 5 50 150 6 60 210 7 70 280 8 80 360 it takes a total of eight hours to cover the 360 mile distance . answer : a" | null |
Question: in the figure given below , abc and cde are two identical semi - circles of radius 2 units . b and d are the mid points of the arc abc and cde respectively . what is the area of the shaded region ?
['A.4 π - 1', 'B.3 π - 1', 'C.2 π - 4', 'D.½ ( 3 π - 1 )', 'e ) 2 π - 2']C.
solution p and q are the centers of the two semicircles . draw bp perpendicular to ac . bp is radius to the semi - circle . so are ap and pc . therefore , bp = ap = pc = 2 units . in semicircle abc , area of the shaded portion is the difference between the area of half the semicircle pbc and the area of the triangle pbc . triangle pbc is a right triangle because pb is perpendicular to pc . pb and pc are radii to the circle and are equal . so , triangle pbc is an isosceles triangle . therefore , triangle pbc is a right isosceles triangle . area of half the semicircle - area of region pbc area of the semicircle abc = ½ area of the circle of radius 2 . so , area of half the semicircle , pbc = ¼ area of the circle of radius 2 . area of half the semicircle , pbc = ¼ * π * 22 area of half the semicircle , pbc = π sq units area of right isosceles triangle pbc area of right triangle pbc = ½ pc * pb area of triangle pbc = ½ * 2 * 2 = 2 sq units area of shaded region area of shaded region in one of the semi circles abc = ( π - 2 ) sq units therefore , area of the overall shaded region = 2 ( π - 2 ) sq units choice c | null |
Question: from the sale of sleeping bags , a retailer made a gross profit of 16 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?
A.3.0.
B.3.36.
C.24.13.
D.25.0.
e ) 31.36C.
"cost price * 1.16 = selling price - - > cost price * 1.16 = $ 28 - - > cost price = $ 24.13 . answer : c ." | null |
Question: a number is doubled and 5 is added . if the resultant is trebled , it becomes 129 . what is that number ?
A.12.
B.29.
C.27.
D.19.
e ) 99D.
explanation : let the number be x . therefore , 3 ( 2 x + 5 ) = 129 6 x + 15 = 129 6 x = 114 x = 19 answer : d | null |
Question: the average temperature for tuesday , wednesday and thursday was 42 ° c . the average temperature for wednesday , thursday and friday was 44 ° c . if the temperature on friday be 43 ° c , what was the temperature on tuesday ?
A.39 ° c.
B.44 ° c.
C.37 ° c.
D.42 ° c.
e ) none of theseC.
"explanation : t + w + t = 42 × 3 = 126 ° c w + t + f = 44 × 3 = 132 ° c also , temperature on friday = 43 ° c temperature on tuesday = 126 + 43 - 132 = 37 ° c answer : option c" | null |
Question: 72519 x 9999 = ?
A.725117481.
B.674217481.
C.685126481.
D.696217481.
e ) none of themA.
"= 7259 x 9999 = 7259 x ( 10000 - 1 ) = 72519 x 10000 - 72519 x 1 = 725190000 - 72519 = 725117481 answer is a" | null |
Question: on a certain date , pat invested $ 5,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 20,000 , in how many years total will the total value of the investment plus interest increase to $ 40,000 ?
A.15.
B.16.
C.18.
D.20.
e ) 24A.
"5,000 ( 1 + x ) ^ 10 = 20,000 ( 1 + x ) ^ 10 = 4 = 2 ^ 2 ( 1 + x ) ^ 10 = ( ( 1 + x ) ^ 5 ) ^ 2 = 2 ^ 2 therefore , ( 1 + x ) ^ 5 = 2 5000 ( 1 + x ) ^ n = 40,000 ( 1 + x ) ^ n = 8 ( 1 + x ) ^ n = 2 ^ 3 ( 1 + x ) ^ n = ( ( 1 + x ) ^ 5 ) ^ 3 = ( 1 + x ) ^ 15 therefore , n = 15 . the answer is a ." | null |
Question: if a , b , and c are positive real numbers such that a ( b + c ) = 152 , b ( c + a ) = 162 , and c ( a + b ) = 170 , then abc is
A.A.672.
B.B.688.
C.C.704.
D.D.720.
e ) e ) 750D.
ab + bc = 152 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 1 ) bc + ba = 162 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2 ) ac + ab = 170 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 3 ) re - writing equation 3 as follows : ac + cb = 162 + 8 ac + cb = bc + ba + 8 ac = ba + 8 . . . . . . . . . . . . . . . ( 4 ) adding ( 1 ) ( 4 ) 2 ac = 160 ac = 80 abc has to be multiple of 80 , only 720 fits in answer = d | null |
Question: s is a set of 50 consecutive multiples of 2 . if the smallest number in s is 56 , then the greatest number in s is
A.198.
B.154.
C.199.
D.102.
e ) 105B.
"last term = first term + ( total no . of terms - 1 ) consecutive difference s is a set of 50 consecutive multiples of 2 . if the smallest number in s is 56 , then the greatest number in s is first term = 56 ; total terms = 50 ; difference = 2 56 + ( 49 ) 2 = 154 ans b" | null |
Question: the total number of digit used in numbering the pages of a book having 366 pages , is :
A.732.
B.990.
C.1098.
D.1305.
e ) none of theseB.
solution total number of digits = ( no . of digits in 1 - digits page nos . + no . of digits in 2 - digits page nos . + no . of digits i 3 - digits page nos . ) = ( 1 * 9 + 2 * 90 + 3 * 267 ) = ( 9 + 180 + 801 ) = 990 . answer b | null |
Question: 5.511 / 10.02 =
A.0.35.
B.0.55.
C.0.3509.
D.0.351.
e ) 0.3527B.
"5.511 / 10.02 5511 / 1002 = 5.5 move the comma two places to the left as we have 2 decimal places from the divisor : 0.55 . answer : b" | null |
Question: running at the same constant rate , 6 identical machines can produce a total of 240 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?
A.648.
B.1,800.
C.1,600.
D.10,800.
e ) 64,800C.
"6 machines produce 240 bottles per minute ; 1 machine produces 240 / 6 = 40 bottles per minute ; 10 machines produce 40 * 10 = 400 bottles per minute ; in 4 minutes 10 machines produce 400 * 4 = 1,600 bottles . answer : c ." | null |
Question: there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is 20 % higher than the third box , whose weight is 25 % higher than the 1 st box weight . the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes .
A.22.
B.75.
C.25.
D.70.
e ) 11B.
weight of 1 st box = 200 weight of 3 rd box = ( 125 / 100 ) * 200 = 250 weight of 2 nd box = ( 120 / 100 ) * 250 = 300 weight of 4 th box = 350 weight of 5 th box = ( 10 / 7 ) * 350 = 500 average of 4 highest weighted boxes = ( 500 + 350 + 300 + 250 ) / 4 = 350 average of 4 lightest boxes = ( 350 + 300 + 250 + 200 ) / 4 = 275 therefore difference = 350 - 275 = 75 answer : b | null |
Question: veena ranks 73 rd from the top in a class of 198 . what is her rank from the bottom if 22 students have failed the examination ?
A.88.
B.104.
C.110.
D.90.
e ) 93B.
"total student = 198 failed = 22 paasd student = 198 - 22 = 176 from bottom her rank is = 176 - 73 + 1 = 104 answer : b" | null |
Question: if each side of a square is increased by 20 % , find the percentage change in its area ?
A.40 %.
B.42 %.
C.46 %.
D.44 %.
e ) 38 %D.
"let each side of the square be a , then area = a x a new side = 120 a / 100 = 6 a / 5 new area = ( 6 a x 6 a ) / ( 5 x 5 ) = ( 36 a ² / 25 ) increased area = = ( 36 a ² / 25 ) - a ² increase % = [ ( 11 a ² / 25 ) x ( 1 / a ² ) x 100 ] % = 44 % answer : d" | null |
Question: by selling 20 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain 30 % ?
A.8.56.
B.10.75.
C.14.5.
D.16.5.
e ) 11.4B.
"70 % - - - 20 130 % - - - ? 70 / 130 * 20 = 10.75 answer : b" | null |
Question: how many positive integers less than 100 are neither multiples of 2 or 3 ?
A.30.
B.31.
C.32.
D.33.
e ) 34D.
"1 ) multiples of 2 till 100 = 100 / 2 = 50 2 ) multiples of 3 till 100 = 100 / 3 = 33.33 = 33 add the two 50 + 33 = 83 ; subtract common terms that are multiple of both 2 and 3 . . lcm of 2 and 3 = 6 multiples of 6 till 100 = 100 / 6 = 16.66 = 16 so total multiples of 2 and 3 = 83 - 16 = 67 100 - 67 = 33 answer : d" | null |
Question: an article is bought for rs . 675 and sold for rs . 775 , find the gain percent ?
A.73 %.
B.14.8 %.
C.33 1 / 3 %.
D.93 1 / 3 %.
e ) 33 1 / 3 %B.
"explanation : 675 - - - - 100 100 - - - - ? = > 14.8 % answer : b" | null |
Question: a man buys 60 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?
A.7.6 %.
B.7.7 %.
C.29.13 %.
D.33.6 %.
e ) 37.82 %C.
explanation : let marked price be re . 1 each c . p . of 60 pens = rs . 46 s . p . of 60 pens = 99 % of rs . 60 = rs . 59.4 profit % = ( profit / c . p . ) x 100 profit % = ( 13.4 / 46 ) x 100 = 29.13 % answer : c | null |
Question: a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
A.237.
B.126.
C.971.
D.611.
e ) 144E.
"explanation : let cp be 100 a sells at 25 % profit so sp = 125 b sells at 25 % profit = 125 x ( 1 + 25 / 100 ) = 156.25 cp sp 100 - - - 156.25 x - - - 225 cp = 225 x 100 / 156.25 = 144 answer : e" | null |
Question: what is the area of a regular hexagon with sides 1 in . long ?
A.1.59 square inch.
B.2.59 square inch.
C.3.59 square inch.
D.4.59 square inch.
e ) 2.69 square inchB.
"a regular hexagon of side 1 inch can be divided in to 6 equilateral triangle of side 1 inch . area of each triangle = ( root 3 / 4 ) * side ^ 2 = ( root 3 / 4 ) area of 6 triangles = 6 * ( root 3 / 4 ) = 1.5 root 3 = 2.59 square inch answer : b" | null |
Question: ratio between rahul and deepak is 4 : 2 , after 10 years rahul age will be 26 years . what is deepak present age
A.14.
B.15.
C.12.
D.22.
e ) 8E.
"explanation : present age is 4 x and 3 x , = > 4 x + 10 = 26 = > x = 4 so deepak age is = 2 ( 4 ) = 8 answer : option e" | null |
Question: two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds . the ratio of their speeds is :
A.3 : 1.
B.3 : 2.
C.3 : 8.
D.3 : 25.
e ) 1 : 4E.
"let the speeds of the two trains be x m / sec and y m / sec respectively . then , length of the first train = 37 x meters , and length of the second train = 27 y meters . ( 37 x + 27 y ) / ( x + y ) = 29 = = > 37 x + 27 y = 29 x + 29 y = = > 8 x = 2 y = = > x / y = 2 / 8 = 1 / 4 answer : option e" | null |
Question: what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 5 years ?
A.5 %.
B.7 %.
C.9 %.
D.2 %.
e ) 4 %E.
"160 = ( 800 * 5 * r ) / 100 r = 4 % answer : e" | null |
Question: if 2 + 2 / x = 3 - 3 / x , then x =
A.- 5.
B.2 / 3.
C.1.
D.3 / 2.
e ) 5E.
"we ' re given the equation 2 + 2 / x = 3 - 3 / x . we ' re asked for the value of x . the common - denominator of these 4 numbers is x , so we have to multiple 2 of the numbers to give them that denominator . . . 2 x / x + 2 / x = 3 x / x - 3 / x we can then eliminate that denominator , which gives us . . . . 2 x + 2 = 3 x - 3 5 = x final answer : e" | null |
Question: how many factors of 2475 are odd numbers greater than 1 ?
A.3.
B.4.
C.17.
D.6.
e ) 7C.
"prime factors of 330 are 2 ^ 1,3 ^ 2,5 ^ 2 and 11 ^ 1 total divisors = ( power if a prime factor + 1 ) total no . of odd factors ( 3 , 5,11 ) = ( 2 + 1 ) ( 2 + 1 ) ( 1 + 1 ) = 18 since we need odd divisors other than 1 = > 18 - 1 = 17 odd divisors c is the answer" | null |
Question: harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 2 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?
A.1 / 3.
B.2 / 5.
C.1 / 4.
D.1 / 2.
e ) 4 / 7C.
"the time from beginning of march to the end of september is 7 months . if x is the average monthly tip for all months other than august then his august month tip will be 2 * x his total tip for the 7 months = 6 * ( average tip for the months other than august ) + 2 x = 8 x august tips as a fraction of total tips = 2 x / 8 x = 1 / 4 . so c" | null |
Question: a plant manager must assign 12 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 3 new workers . how many different ways can she assign the new workers ?
A.2430.
B.2640.
C.3300.
D.4860.
e ) 5400B.
"whatever : my take selecting team of 3 out of 12 to assign to the shifts = 12 c 3 = 220 ways . now 3 out of 12 means total of 4 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 4 * 3 * 2 * 1 = 24 here alt and alt are the same : so 24 / 2 = 12 ways . total ways of selecting = ( selecting 3 out of 12 ) * arranging those teams in shifts = 220 * 24 = 2640 ans : b" | null |
Question: a and b invests rs . 5000 and rs . 6000 in a business . after 6 months , a withdraws two - fifth of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?
A.3 : 5.
B.7 : 8.
C.5 : 6.
D.3 : 4.
e ) 7 : 9D.
"a : b ( 5000 * 6 ) + ( 3000 * 6 ) : ( 6000 * 8 ) + ( 4000 * 4 ) 48000 : 64000 3 : 4 answer : d" | null |
Question: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 150 more than the correct answer . find the number .
A.125.
B.288.
C.384.
D.400.
e ) 500B.
"explanation : let the number be x . 5 * x / 6 = 5 * x / 16 + 150 25 * x / 48 = 150 x = 288 answer b" | null |
Question: a , b and c enter into a partnership by investing $ 7000 , $ 11000 and $ 18000 respectively . at the end of 8 months , b receives $ 880 as his share . find the share of a .
A.$ 320.
B.$ 440.
C.$ 560.
D.$ 670.
e ) $ 780C.
"the ratio of capital of a , b and c = 7000 : 11000 : 18000 = 7 : 11 : 18 a ' s share = ( 7 / 11 ) * 880 = $ 560 the answer is c ." | null |
Question: bill downloads the movierevenge of the avengersto his computer in 2.5 hours , using a download manager that downloads from 3 sources marked a , b and c . each source provides download at a constant rate , but the rates of different sources are not necessarily identical . if the movie was downloaded from sources a and c alone , it would take 4 hours to complete the download . the next day , source b is available , but the other sources are inactive . how long will it take to download the trailer of the movie , a file that is 10 times smaller , from source b alone ?
A.40 minutes.
B.15 minutes.
C.12 minutes.
D.10 minutes.
e ) 3 minutesA.
let the movie size be 400 u . given , a + c = 4 hrs . a + c = 100 u / hr and a + b + c = 2.5 hrs or 400 / 2.5 = 160 u / hr b alone = 160 - 100 = 60 u / hr trailer = 40 times smaller or 400 / 10 = 40 u b will take 40 / 60 hrs or 40 minutes . ans a | null |
Question: a bowl of fruit contains 14 apples and 21 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?
A.3.
B.15.
C.14.
D.17.
e ) 20B.
"number of apples = 14 number of oranges = 23 let number of oranges that must be removed so that 70 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 14 + ( 21 - x ) = 35 - x 14 / ( 35 - x ) = 7 / 10 = > 20 = 35 - x = > x = 15 answer b" | null |
Question: the present worth of rs . 2310 due 2 years hence , the rate of interest being 15 % per annum , is :
A.1689.
B.1680.
C.1682.
D.1681.
e ) 1686B.
"p . w . = rs . 100 x 2310 = rs . 1680 . 100 + 15 x 5 2 answer : b" | null |
Question: after decreasing 24 % in the price of an article costs rs . 684 . find the actual cost of an article ?
A.218.
B.777.
C.900.
D.2688.
e ) 1991C.
"cp * ( 76 / 100 ) = 684 cp = 9 * 100 = > cp = 900 answer : c" | null |
Question: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat in still water and stream is
A.3 : 1.
B.1 : 3.
C.2 : 4.
D.4 : 2.
e ) none of theseA.
"explanation : let speed downstream = x kmph then speed upstream = 2 x kmph so ratio will be , ( 2 x + x ) / 2 : ( 2 x - x ) / 2 = > 3 x / 2 : x / 2 = > 3 : 1 option a" | null |
Question: ritesh and co . generated revenue of rs . 1,600 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?
A.12.5 %.
B.19.53 %.
C.25 %.
D.50 %.
e ) none of theseB.
explanation : given , ritesh and co . generated revenue of rs . 1,600 in 2006 and that this was 12.5 % of the gross revenue . hence , if 1600 is 12.5 % of the revenue , then 100 % ( gross revenue ) is : = > ( 100 / 12.5 ) × 1600 . = > 12,800 . hence , the total revenue by end of 2007 is rs . 12,800 . in 2006 , revenue grew by rs . 2500 . this is a growth of : = > ( 2500 / 12800 ) × 100 . = > 19.53 % . answer : b | null |
Question: the average ( arithmetic mean ) of the integers from 100 to 400 , inclusive , is how much greater than the average of the integers from 50 to 250 , inclusive ?
A.100.
B.175.
C.200.
D.125.
e ) 300A.
for an ap the mean or average of series is average of first and last term . so , average of numbers between 100 to 400 , inclusive = ( 100 + 400 ) / 2 = 250 average of numbers between 50 to 250 , inclusive = ( 50 + 250 ) / 2 = 150 difference = 250 - 150 = 100 answer is a | null |
Question: 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 11 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 ?
A.$ 54.00.
B.$ 64.80.
C.$ 90.00.
D.$ 100.80.
e ) $ 123.20E.
"correct answer : e the tourist must pay tax on $ 1720 - $ 600 = $ 1120 . thus , the amount of tax he has to pay is 0.11 ( $ 1120 ) = $ 123.20 . the correct answer is e ." | null |
Question: how much is 60 % of 40 is greater than 4 / 5 of 30 ?
A.8.
B.3.
C.7.
D.0.
e ) 1D.
"( 60 / 100 ) * 40 â € “ ( 4 / 5 ) * 30 24 - 24 = 0 answer : d" | null |
Question: a train speeds past a pole in 22 seconds and a platform 140 m long in 33 seconds . its length is ?
A.280.
B.260.
C.300.
D.290.
e ) 270A.
"let the length of the train be x meters and its speed be y m / sec . they , x / y = 22 = > y = x / 22 x + 140 / 33 = x / 22 x = 280 m . answer : a" | null |
Question: find the greatest number which on dividing 6215 and 7373 , leaves a reminder of 23 and 29 respectively
A.125.
B.127.
C.129.
D.131.
e ) 144E.
"explanation : in this type of question , its obvious we need to calculate the hcf , trick is hcf of ( 6215 - 23 ) and ( 7373 - 29 ) = hcf ( 6192 , 7344 ) = 144 option e" | null |
Question: an urn contains 5 red , 6 blue and 8 green balls . 3 balls are randomly selected from the urn , find the probability that the drawn ball are blue ?
A.20 / 969.
B.20 / 875.
C.21 / 876.
D.3 / 512.
e ) 2 / 9A.
"sample space = no . of ways 3 balls were drawn from urn = 19 c 3 = 969 no . ways 3 blue balls were drawn from bag = 6 c 3 = 20 probability = 20 / 969 ans - a" | null |
Question: the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 8 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?
A.20 km.
B.30 km.
C.40 km.
D.50 km.
e ) 60 kmC.
"number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 8 = 40 km imo , correct answer is ` ` c . ' '" | null |
Question: the sum of ages of 5 children born at the intervals of 2 years each is 55 years . what is the age of the youngest child ?
A.4.
B.7.
C.6.
D.9.
e ) 8B.
"let the ages of children be x , ( x + 2 ) , ( x + 4 ) , ( x + 6 ) and ( x + 8 ) years . then , x + ( x + 2 ) + ( x + 4 ) + ( x + 6 ) + ( x + 8 ) = 50 5 x = 55 - 20 = 35 x = 7 . age of the youngest child = x = 7 years . answer : b" | null |
Question: what is the probability of getting a sum 9 from two throws of dice .
A.1 / 3.
B.1 / 9.
C.1 / 12.
D.2 / 9.
e ) none of theseB.
"explanation : total number of cases = 6 * 6 = 36 favoured cases = [ ( 3,6 ) , ( 4,5 ) , ( 6,3 ) , ( 5,4 ) ] = 4 so probability = 4 / 36 = 1 / 9 option b" | null |
Question: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 5 full , while jug y is 4 / 7 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ?
A.0.
B.1 / 15.
C.2 / 15.
D.1 / 20.
e ) 2 / 10D.
"suppose the water in each jug is l liters cx x ( 1 / 5 ) = l cx = 5 l liters cx is capacity of x cy x ( 4 / 7 ) = l cy = 7 l / 4 liters cy is capacity of y now , y is 7 l / 4 - l empty = 3 l / 4 empty so , we can put only 3 l / 4 water in jug y from jug x jug x ' s remaining water = l - 3 l / 4 = l / 4 fraction of x which contains water = water / cx = ( l / 4 ) / 5 l = 1 / 20 answer will be d" | null |
Question: two goods trains each 820 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?
A.228.
B.27.32.
C.76.6.
D.78.72.
e ) 21D.
relative speed = 45 + 30 = 75 km / hr . 75 * 5 / 18 = 125 / 6 m / sec . distance covered = 820 + 820 = 1640 m . required time = 1640 * 6 / 125 = 78.72 sec . answer : d | null |
Question: 20 beavers , working together in a constant pace , can build a dam in 3 hours . how many hours c will it take 12 beavers that work at the same pace , to build the same dam ?
A.2 ..
B.4 ..
C.c = 5 ..
D.c = 6 ..
e ) 8 .C.
"c . 5 hrs if there were 10 beavers it qould have taken double c = 6 hrs . . so closest to that option is 5 ." | null |
Question: indu gave bindu rs . 1875 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.s . 10.
B.s . 2.
C.s . 5.
D.s . 3.
e ) s . 4D.
"1875 = d ( 100 / 4 ) 2 d = 3 answer : d" | null |
Question: how many integers are between 7 and 57 / 4 , inclusive ?
A.4.
B.5.
C.7.
D.8.
e ) 10D.
"57 / 4 = 14 . xx we are not concerned about the exact value of 57 / 4 as we just need the integers . since the values are small , we can write down the integers . the different integers between 7 and 57 / 4 would be 7 , 8 , 9 , 10 , 11 , 12 , 13,14 total number of integers = 8 option d" | null |
Question: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is five times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ?
A.9 : 32.
B.9 : 30.
C.32 : 9.
D.19 : 32.
e ) 18 : 30A.
"water : soap = 3 : 4 soap : salt = 15 : 20 = > for 15 soap , salt = 20 = > for 4 soap , salt = ( 20 / 15 ) * 4 = 80 / 15 = 16 / 3 so , water : soap : salt = 3 : 4 : 16 / 3 = 9 : 12 : 16 after open container , water : soap : salt = 4.5 : 12 : 16 so , water : salt = 4.5 : 16 = 9 : 32 answer : a" | null |
Question: 3 / 5 * [ ( 2 / 3 + 3 / 8 ) / 2 ] - 1 / 16 =
A.1 / 4.
B.19 / 16.
C.15 / 16.
D.9 / 13.
e ) 0A.
we need to simplify the expression using pemdas . parentheses exponents multiplication anddivision addition andsubtraction the calculation of an equation or expression must be carried out in the following order : 1 ) operations within parentheses ( or absolute value bars or radicals ) 2 ) exponents 3 ) multiplication and division from left to right 4 ) addition and subtraction from left to right the answer is a . | null |
Question: steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 100 mph . what is his average speed of travel for the entire journey ?
A.60 mph.
B.56.67 mph.
C.53.33 mph.
D.64 mph.
e ) 76 mphE.
"answer average speed of travel = total distance travelled / total time taken total distance traveled by steve = distance covered in the first 2 hours + distance covered in the next 3 hours . distance covered in the first 2 hours = speed * time = 40 * 2 = 80 miles . distance covered in the next 3 hours = speed * time = 100 * 3 = 300 miles . therefore , total distance covered = 80 + 300 = 380 miles . total time taken = 2 + 3 = 5 hours . hence , average speed = total distance travelled / total time taken = 380 / 5 = 76 miles per hour . choice e" | null |
Question: each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 93 % water by weight . what is the new weight of the cucumbers , in pounds ?
A.2.
B.15.
C.92.
D.96.
e ) 98B.
"out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 93 % water and 7 % of non - water , so now 1 pound of non - water composes 7 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.07 = 15 pounds . answer : b ." | null |
Question: the cost of the paint is rs . 50 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 20 feet each side
A.rs . 962.
B.rs . 6000.
C.rs . 546.
D.rs . 876.
e ) none of theseB.
"explanation : surface area of a cube = 6 x 20 ^ 2 = 2400 sq . ft quantity of paint required = ( 2400 / 20 ) = 120 kg cost of painting = 50 x 120 = rs . 6000 answer : b" | null |
Question: a man can row downstream at 25 kmph and upstream at 15 kmph . find the time to reach a destination point at a distance of 50 km along the downstream .
A.4 hrs ..
B.1 hrs ..
C.3 hrs ..
D.2 hrs ..
e ) 2 1 / 2 hrs .D.
"let the speed of the man in downstream = 25 kmph . distance to be covered along the stream = 50 kmph = > time taken = d / s = 50 / 25 = 2 hrs . answer : d" | null |
Question: a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 160 meter length ?
A.11 seconds.
B.41.6 seconds.
C.40 seconds.
D.88 seconds.
e ) 19 secondsB.
"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 360 + 160 = 520 meter time = distance / speed = 520 * ( 2 / 25 ) = 41.6 seconds answer : b" | null |
Question: the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2016 . the sum of the numbers is ?
A.A.10.
B.B.12.
C.C.15.
D.D.14.
e ) e ) 9B.
"let the numbers be x , 2 x , 3 x then , x ^ 2 + 4 x ^ 2 + 9 x ^ 2 = 2016 14 x ^ 2 = 2016 x ^ 2 = 144 x = 12 answer is b" | null |
Question: a certain airline ' s fleet consisted of 90 type a planes at the beginning of 1980 . at the end of each year , starting with 1980 , the airline retired 3 of the type a planes and acquired 4 new type b plans . how many years did it take before the number of type a planes left in the airline ' s fleet was less than 50 percent of the fleet ?
A.11.
B.12.
C.13.
D.14.
e ) 15C.
"let x be the number of years . 4 x > 90 - 3 x 7 x > 90 x > 12 + 6 / 7 the answer is c ." | null |
Question: john makes $ 60 a week from his job . he earns a raise andnow makes $ 78 a week . what is the % increase ?
A.16.12 %.
B.16.66 %.
C.30 %.
D.17.66 %.
e ) 18.1 %C.
"increase = ( 18 / 60 ) * 100 = ( 3 / 10 ) * 100 = 30 % . c" | null |
Question: what is the perimeter of a square field whose diagonal is 8 â ˆ š 2 ?
A.64 m.
B.32 m.
C.30 m.
D.16 m.
e ) 18 mB.
"explanation : a â ˆ š 2 = b â ˆ š 2 - > a = 8 4 a = 32 m answer is b" | null |
Question: a jogger running at 9 km / hr along side a railway track is 250 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?
A.37 sec.
B.89 sec.
C.36 sec.
D.87 sec.
e ) 45 secA.
"speed of train relative to jogger = 45 - 9 = 36 km / hr . = 36 * 5 / 18 = 10 m / sec . distance to be covered = 250 + 120 = 370 m . time taken = 370 / 10 = 37 sec . answer : a" | null |
Question: find the simple interest on $ 1000 for 3 years at 10 % per annum ?
A.$ 250.
B.$ 300.
C.$ 500.
D.$ 600.
e ) $ 1000B.
"si = ptr / 100 = 1000 * 3 * 10 / 100 = $ 300 answer is b" | null |
Question: two pipes a and b can separately fill a cistern in 60 minutes and 75 minutes respectively . there is a third pipe in the bottom of the cistern to empty it . if all the three pipes are simultaneously opened , then the cistern is full in 50 minutes . in how much time , the third pipe alone can empty the cistern ?
A.90 min.
B.100 min.
C.110 min.
D.120 min.
e ) 130 minB.
"1 / 50 - ( 1 / 60 + 1 / 75 ) = - 1 / 100 third pipe can empty in 100 minutes answer : b" | null |
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