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Question: the average expenditure of a labourer for 6 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is
A.70.
B.72.
C.75.
D.78.
e ) none of the aboveD.
"income of 6 months = ( 6 Γ 85 ) β debt = 510 β debt income of the man for next 4 months = 4 Γ 60 + debt + 30 = 270 + debt β΄ income of 10 months = 780 average monthly income = 780 Γ· 10 = 78 answer d" | null |
Question: what is the greatest positive integer x such that 7 ^ x is a factor of 343 ^ 10 ?
A.5.
B.9.
C.10.
D.20.
e ) 30E.
"343 ^ 10 = ( 7 ^ 3 ) ^ 10 = 7 ^ 30 answer : e" | null |
Question: in the xy - coordinate system , what is the slope of the line that goes through the point ( 4 , 4 ) and is equidistant from the two points p = ( 0 , 2 ) and q = ( 12 , 8 ) ?
A.0.1.
B.0.3.
C.0.5.
D.0.7.
e ) 0.9C.
"first , get the middle coordinate between ( 0,2 ) and ( 12,8 ) . . . x = 0 + ( 12 - 0 ) / 2 = 6 y = 2 + ( 8 - 2 ) / 2 = 5 second , get the slope of ( 6,5 ) and ( 4,4 ) . m = 5 - 4 / 6 - 4 = 1 / 2 = 0.5 answer : c" | null |
Question: a sum of money is sufficient to pay b ' s wages for 12 days and c ' s wages for 24 days . the same money is sufficient to pay the wages of both for ?
A.6.
B.7.
C.8.
D.9.
e ) 10C.
let the total money be $ x b ' s 1 day work = $ x / 12 c ' s 1 day work = $ x / 24 a + b 1 day work = $ x / 8 money is sufficient to pay the wages of both for 8 days answer is c | null |
Question: jonathan , matthew and zac are picking strawberries from their yard . together they have picked a total of 550 strawberries . jonathan and matthew have picked 350 strawberries together . matthew and zac have picked 250 strawberries together . how many strawberries has zac picked by himself ?
A.100.
B.200.
C.350.
D.50.
e ) 250B.
jonathan = matthew + zac = 550 strawberries j + m = 350 m + z = 250 use j + m = 350 to plug into the original formula ( j + m ) + z = 550 350 + z = 550 subtract 350 from each side z = 200 answer : b | null |
Question: in a certain parallelogram the degree measure of one angle exceeds that of the other by 70 what is the degree measure of the smaller angle ?
A.55.
B.80.
C.85.
D.90.
e ) 95A.
in a parallelogram opposite angles are equal and the angles at each side are supplementary to each other ( supplementary angles are two angles that add up to 180 Β° ) . given : x + ( x + 70 ) = 180 - - > x = 55 . answer : a . | null |
Question: a candidate got 35 % of the votes and lost to the rival by 1350 votes . how many votes were cast ?
A.4000.
B.4500.
C.5000.
D.5500.
e ) 6000B.
"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 1350 10 % = 450 100 % of the votes = 4500 answer : b" | null |
Question: the product of two numbers is 2028 and their h . c . f . is 13 . the number of such pairs is :
A.1.
B.2.
C.3.
D.4.
e ) 5B.
"explanation : let the numbers be 13 a and 13 b . then , 13 a * 13 b = 2028 = > ab = 12 . now , co - primes with product 12 are ( 1 , 12 ) and ( 3 , 4 ) . so , the required numbers are ( 13 * 1 , 13 * 12 ) and ( 13 * 3 , 13 * 4 ) . clearly , there are 2 such pairs . answer is b" | null |
Question: a train 140 m long crosses a platform 160 m long in 16 sec ; find the speed of the train ?
A.87 kmph.
B.65 kmph.
C.68 kmph.
D.16 kmph.
e ) 18 kmphC.
"d = 140 + 160 = 300 t = 16 s = 300 / 16 * 18 / 5 = 67.5 kmph answer : c" | null |
Question: a zeebra chases a tiger 5 hours after the tiger runs . zeebra takes 6 hours to reach the tiger . if the average speed of the zeebra is 55 kmph , what s the average speed of the tiger ?
A.35 kmph.
B.32 kmph.
C.30 kmph.
D.31 kmph.
e ) 20 kmphC.
tiger take 11 hours and zeebra take 6 hours . . . then distance chased by them is 55 * 6 . so speed of tiger is ( 55 * 6 ) / 11 = 30 kmph . answer is c | null |
Question: if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land heads up on the first 4 flips but not on the last flip ?
A.1 / 2.
B.1 / 4.
C.1 / 8.
D.1 / 16.
e ) 1 / 32E.
p ( hhhht ) = 1 / 2 * 1 / 2 * 1 / 2 * 1 / 2 * 1 / 2 = 1 / 32 the answer is e . | null |
Question: a fruit seller had some apples . he sells 40 % and still has 420 apples . originally , he had ?
A.588 apples.
B.600 apples.
C.672 apples.
D.700 apples.
e ) noneD.
"answer β΅ 60 % of n = 420 β΄ n = ( 420 x 100 ) / 60 = 700 correct option : d" | null |
Question: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.2 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is :
A.2 : 5.
B.2 : 3.
C.2 : 4.
D.1 : 1.
e ) 2 : 9D.
"let the ratio be k : 1 . then , k * 16.2 + 1 * 15.4 = ( k + 1 ) * 15.8 = ( 16.2 - 15.8 ) k = ( 15.8 - 15.4 ) = k = 0.4 / 0.4 = 1 / 1 required ratio = 1 / 1 : 1 = 1 : 1 . answer : d" | null |
Question: a number is doubled and 9 is added . if resultant is trebled , it becomes 75 . what is that number
A.8.
B.10.
C.12.
D.14.
e ) 15A.
"explanation : = > 3 ( 2 x + 9 ) = 75 = > 2 x + 9 = 25 = > x = 8 answer : option a" | null |
Question: a batsman scored 210 runs which included 3 boundaries and 8 sixes . what % of his total score did he make by running between the wickets
A.40 %.
B.50 %.
C.65 %.
D.71.4 %.
e ) 75 %D.
"number of runs made by running = 210 - ( 3 x 4 + 8 x 6 ) = 210 - ( 60 ) = 150 now , we need to calculate 60 is what percent of 120 . = > 150 / 210 * 100 = 71.4 % d" | null |
Question: ( 112 x 5 ^ 4 ) = ?
A.70000.
B.80000.
C.90000.
D.90090.
e ) 100000A.
"( 112 x 54 ) = 112 x 10 4 = 112 x 104 = 1120000 = 70000 2 24 16 a )" | null |
Question: x + ( 1 / x ) = 2 find x ^ 2 + ( 1 / x ^ 2 )
A.2.
B.3.25.
C.4.25.
D.5.25.
e ) 6.25A.
"squaring on both sides ( x + 1 / x ) ^ 2 = 2 ^ 2 x ^ 2 + 1 / x ^ 2 = 4 - 2 x ^ 2 + 1 / x ^ 2 = 2 answer : a" | null |
Question: what least no . must be subtracted from 427398 so that remaining no . is divisible by 15 ?
A.344545629.
B.723437481.
C.354595321.
D.964564944.
e ) 458449909B.
"explanation : on dividing 427398 by 15 we get the remainder 3 , so 3 should be subtracted option b" | null |
Question: in a box of 12 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?
A.1 / 6.
B.2 / 9.
C.6 / 11.
D.9 / 16.
e ) 3 / 4C.
"# defective pens = 3 # good pens = 9 probability of the 1 st pen being good = # of favorable outcomes / # of total outcomes = 9 / 12 probability of the 2 nd pen being good = # of remaining favorable outcomes / # of total remaining outcomes = 8 / 11 total probability = 9 / 12 * 8 / 11 = 6 / 11 answer will be c" | null |
Question: if a sum of money doubles itself in 15 years at simple interest , the ratepercent per annum is
A.12.
B.12.5.
C.6.67.
D.13.5.
e ) 14C.
"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 15 ) = 6.67 option c" | null |
Question: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 883 . find the cost of each ice - cream cup ?
A.25.
B.76.
C.29.
D.12.
e ) 20D.
"explanation : let the cost of each ice - cream cup be rs . x 16 ( 6 ) + 5 ( 45 ) + 7 ( 70 ) + 6 ( x ) = 883 96 + 225 + 490 + 6 x = 883 6 x = 72 = > x = 12 . answer : d" | null |
Question: if a person walks at 16 km / hr instead of 8 km / hr , he would have walked 20 km more . the distance traveled by him if he walked at 16 km / hr ?
A.50 km.
B.58 km.
C.60 km.
D.70 km.
e ) 40 kmE.
"let the actual distance traveled be x km . then , x / 8 = ( x + 20 ) / 16 2 x - x = 20 = > x = 20 km . the required distance is = ( 20 + 20 ) km = 40 km answer : e" | null |
Question: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 3 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ?
A.2 / 3.
B.5 / 6.
C.7 / 12.
D.11 / 12.
e ) 17 / 24C.
"( 1 / 2 ) x = ( 1 / 4 ) y ( 1 / 4 ) y + ( 1 / 3 ) y = ( 7 / 12 ) y the answer is c ." | null |
Question: find the area of trapezium whose parallel sides are 26 cm and 18 cm long , and the distance between them is 15 cm .
A.227.
B.299.
C.330.
D.161.
e ) 212C.
"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 26 + 18 ) * ( 15 ) = 330 cm 2 answer : c" | null |
Question: a train 160 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is
A.54 kmph.
B.60 kmph.
C.66 kmph.
D.72 kmph.
e ) 90 kmphE.
"speed of train relative to man : 160 / 6 * 18 / 5 km / hr = 96 km / hr let speed of train = x therefore x + 6 = 96 x = 96 - 6 x = 90 km / hr answer : e" | null |
Question: an aeroplane covers a certain distance at a speed of 240 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :
A.520.
B.620.
C.820.
D.740.
e ) 864E.
"distance = ( 240 x 6 ) = 1440 km . speed = distance / time speed = 1440 / ( 5 / 3 ) km / hr . [ we can write 1 2 / 3 hours as 5 / 3 hours ] required speed = ( 1440 x 3 / 5 ) km / hr = 864 km / hr answer e ) 864 km / hr" | null |
Question: if 9 engines consume 24 metric tonnes of coal , when each is working 8 hoursday , bow much coal will be required for 8 engines , each running 13 hours a day , it being given that 3 engines of former type consume as much as 4 engines of latter type ?
A.22.
B.24.
C.26.
D.28.
e ) none of themC.
let 3 engines of former type consume 1 unit in 1 hour . then , 4 engines of latter type consume 1 unit in 1 hour . therefore 1 engine of former type consumes ( 1 / 3 ) unit in 1 hour . 1 engine of latter type consumes ( 1 / 4 ) unit in 1 hour . let the required consumption of coal be x units . less engines , less coal consumed ( direct proportion ) more working hours , more coal consumed ( direct proportion ) less rate of consumption , less coal consumed ( direct prportion ) number of engines 9 : 8 working hours 8 : 13 } : : 24 : x rate of consumption ( 1 / 3 ) : ( 1 / 4 ) [ 9 x 8 x ( 1 / 3 ) x x ) = ( 8 x 13 x ( 1 / 4 ) x 24 ) = 24 x = 624 = x = 26 . hence , the required consumption of coal = 26 metric tonnes . answer is c . | null |
Question: the value of log 2 ( log 5625 ) is
A.2.
B.5.
C.10.
D.15.
e ) 20A.
solution let log 5625 = x . then , 5 x = 625 = 54 βΉ = βΊ x = 4 . let log 2 ( log 5625 ) = y . then , log 24 = y βΉ = βΊ 2 y = 4 y ; 2 . answer a | null |
Question: if 16 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ?
A.95.
B.90.
C.85.
D.80.
e ) 64E.
"let x be the number of students in the school . 0.16 x students went to the trip and took more than 100 $ . they compose ( 100 - 75 ) = 25 % of all students who went to the trip . therefore the toal of 0.16 x / 0.25 = 0.64 x students went to the camping which is 64 % . the answer is e" | null |
Question: a man sitting in a train which is traveling at 55 kmph observes that a goods train , traveling in opposite direction , takes 10 seconds to pass him . if the goods train is 320 m long , find its speed
A.52 kmph.
B.56 kmph.
C.60 kmph.
D.62 kmph.
e ) 72 kmphC.
"explanation : relative speed = 320 / 10 m / sec = ( ( 320 / 10 ) Γ ( 18 / 5 ) ) kmph = 115 kmph . speed of goods train = ( 115 - 55 ) kmph = 60 kmph answer : option c" | null |
Question: a man invests some money partly in 10 % stock at 90 and partly in 5 % stock at 90 . to obtain equal dividends from both , he must invest the money in the ratio :
A.1 : 2.
B.3 : 5.
C.4 : 5.
D.16 : 15.
e ) noneA.
"solution for an income of rs . 1 in 10 % stock at 90 , investment = rs . ( 90 / 10 ) = rs . 9 . for an income of rs . 1 in 5 % stock at 90 , investment = rs . ( 90 / 5 ) = rs . 18 . β΄ ratio of investments = 9 : 18 = 1 : 2 answer a" | null |
Question: average of 10 matches is 32 , how many runs one should should score to increase his average by 6 runs .
A.A.70.
B.B.76.
C.C.78.
D.D.98.
e ) e ) 88D.
"explanation : average after 11 innings should be 38 so , required score = ( 11 * 38 ) - ( 10 * 32 ) = 418 - 320 = 98 answer : option d" | null |
Question: solve below question 2 x + 1 = - 23
A.- 8.
B.- 9.
C.- 12.
D.- 4.
e ) 12C.
1 . subtract 1 from both sides : 2 x + 1 - 1 = - 23 - 1 2 . simplify both sides : 2 x = - 24 3 . divide both sides by 2 : 4 . simplify both sides : x = - 12 c | null |
Question: calculate 85184 Γ· ? = 352
A.241.
B.242.
C.244.
D.247.
e ) 240B.
"answer let 85184 Γ· x = 242 then x = 85184 / 242 = 352 . option : b" | null |
Question: 7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53 a vending machine is designed to dispense 8 ounces of coffee into a cup . after a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine , the 12 listed amounts , in ounces , were selected from the data above . if the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.4 ounces , how many of the 12 listed amounts are within 1.5 standard deviation of the mean ?
A.four.
B.six.
C.nine.
D.ten.
e ) twelveE.
mean = 8.1 standard deviation = 0.4 within 1.5 standard deviation of the mean i . e . 1.5 standard deviation above the mean = 8.1 + 1.5 * 0.4 = 8.7 and 1.5 standard deviation below the mean = 8.1 - 1.5 * 0.4 = 7.5 all values are within the range hence , 12 values fall within 1.5 sd from mean answer : option e | null |
Question: a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many r ways can the test be completed if every question is unanswered ?
A.24.
B.120.
C.625.
D.720.
e ) 1024C.
"5 choices for each of the 4 questions , thus total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them . answer : c ." | null |
Question: a 3 - digit positive integer is chosen at random . what is the probability that the product of its digits is even ?
A.1 / 2.
B.31 / 36.
C.49 / 54.
D.7 / 8.
e ) 11 / 12B.
p ( three odd digits ) = 5 / 9 * 5 / 10 * 5 / 10 = 5 / 36 ( first digit can not be 0 , so we have a total of 9 digits , 4 even and 5 odd ) . therefore , p ( at least one even digit ) = 1 - 5 / 36 = 31 / 36 . answer b . | null |
Question: if x and y are positive integers and 7 + x + y + xy = 21 , what is the value of x + y ?
A.3.
B.5.
C.6.
D.8.
e ) 9C.
"try each answer choices . for a : 7 + 3 + xy = 21 ; xy = 11 ( impossible , 11 prime number . 1 + 11 does n ' t equal 3 ) for b : 7 + 5 + xy = 21 ; xy = 9 ( no combination of xy = 9 and x + y = 5 ) for c : 7 + 6 + xy = 21 ; xy = 8 ( x + y = 6 ; x = 2 , y = 4 or x = 4 , y = 2 ) for d : 7 + 8 + xy = 21 ; xy = 6 ( no combination of xy = 6 and x + y = 8 ) for e : 7 + 9 + xy = 21 ; xy = 5 ( impossible , 5 prime number . 1 + 5 does n ' t equal 9 ) therefore , answer c ." | null |
Question: the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 72 , then 1 / m + 1 / n is equal to
A.1 / 35.
B.3 / 35.
C.5 / 37.
D.2 / 35.
e ) noneD.
answer we have , m x n = 6 x 210 = 1260 β΄ 1 / m + 1 / n = ( m + n ) / mn = 72 / 1260 = 4 / 70 = 2 / 35 correct option : d | null |
Question: in a kilometer race , a beats b by 48 meters or 12 seconds . what time does a take to complete the race ?
A.238 sec.
B.190 sec.
C.667 sec.
D.167 sec.
e ) 176 secA.
"time taken by b run 1000 meters = ( 1000 * 12 ) / 48 = 250 sec . time taken by a = 250 - 12 = 238 sec . answer : a" | null |
Question: in a school of 650 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
A.173.
B.163.
C.153.
D.143.
e ) 117E.
44 + 28 + 10 = 82 % 100 β 82 = 18 % 650 * 18 / 100 = 117 answer : e | null |
Question: a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , while a and c together can do it 2 hours . how long will b alone take to do it ?
A.8 hours.
B.10 hours.
C.12 hours.
D.24 hours.
e ) none of theseC.
"solution a β s 1 hour β s work = 1 / 4 ; ( b + c ) ' s 1 hour β s work = 1 / 3 ; ( a + c ) ' s 1 hour β s work = 1 / 2 ( a + b + c ) β s 1 hour β s work = ( 1 / 4 + 1 / 3 ) = 7 / 12 b β s 1 hour β s work = ( 7 / 12 - 1 / 2 ) = 1 / 12 β΄ b alone will take 12 hours to do the work . answer c" | null |
Question: in a group of 160 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ?
A.0.44.
B.0.55.
C.0.65.
D.0.75.
e ) 0.85A.
"number of people whose age is less than 20 is given by 160 - 90 = 70 probability p that a person selected at random from the group is less than 20 is gieven by 70 / 160 = 0.4375 ~ 0.44 correct answer a" | null |
Question: an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 800 sculptures are not on display , how many pieces of art does the gallery have ?
A.360.
B.1800.
C.540.
D.640.
e ) 720B.
"too many words and redundant info there . ( i ) 1 / 3 of the pieces of art are displayed , hence 2 / 3 of the pieces of art are not displayed . ( ii ) 1 / 6 of the pieces on display are sculptures , hence 5 / 6 of the pieces on display are paintings . ( iii ) 1 / 3 of the pieces not on display are paintings , hence 2 / 3 of the pieces not on display are sculptures . 800 sculptures are not on display , so according to ( iii ) 2 / 3 * { not on display } = 800 - - > { not on display } = 1200 . according to ( i ) 2 / 3 * { total } = 1200 - - > { total } = 1800 . answer : b ." | null |
Question: if x and y are integers and | x - y | = 10 , what is the minimum possible value of xy ?
A.- 9.
B.- 18.
C.- 24.
D.- 25.
e ) - 48D.
"sometimes the answer choices to a given question provide a big ' hint ' as to how you can go about solving it . this prompt can also be solved without any complex math ideas - you just need to do a bit of ' brute force ' math and you ' ll have the answer relatively quickly . we ' re told that x and y are integers and | x - y | = 10 . we ' re asked for the minimum possible value of ( x ) ( y ) . since all of the answer choices are negative , this tells us that one of the two variables must be negative ( and the other must be positive ) , so we should restrict our work to those options . if . . . x = 9 , y = - 1 , then xy = - 9 x = 8 , y = - 2 , then xy = - 16 x = 7 , y = - 3 , then xy = - 21 x = 6 , y = - 4 , then xy = - 24 x = 5 , y = - 5 , then xy = - 25 x = 4 , y = - 6 , then xy = - 24 x = 3 , y = - 7 , then xy = - 21 from this , we can conclude the xy will start to get bigger as x continues to decrease down to 1 , so there ' s no need to do any additional work . final answer : d" | null |
Question: two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 25 hours and 16 hours respectively . the ratio of their speeds is ?
A.4 : 6.
B.4 : 3.
C.4 : 9.
D.4 : 5.
e ) 4 : 2D.
"let us name the trains a and b . then , ( a ' s speed ) : ( b ' s speed ) = Γ’ Λ Ε‘ b : Γ’ Λ Ε‘ a = Γ’ Λ Ε‘ 16 : Γ’ Λ Ε‘ 25 = 4 : 5 . answer : d" | null |
Question: one copy machine can make 20 copies a minute , and a second copy machine makes 10 copies a minute . if the two copiers work together , how long would it take them to make 900 copies ?
A.10 minutes.
B.20 minutes.
C.25 minutes.
D.30 minutes.
e ) 35 minutesD.
"total work done by both machines in a minute = 20 + 10 = 30 copies total number of copies required = 900 time = 900 / 30 = 30 mins answer d" | null |
Question: at what rate of compound interest per annum will a sum of rs . 1200 become rs . 1348.32 in 2 years ?
A.6 %.
B.6.5 %.
C.7 %.
D.7.5 %.
e ) 8 %A.
explanation : let the rate be r % p . a . then , 1200 x ( 1 + r / 100 ) 2 = 1348.32 = ( 1 + r / 100 ) 2 = 134832 / 120000 = 11236 / 10000 ( 1 + r / 100 ) 2 = ( 106 / 100 ) 2 = > 1 + r / 100 = 106 / 100 r = 6 % answer is a | null |
Question: in the first 10 overs of a cricket game , the run rate was only 6.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
A.6.25.
B.5.5.
C.6.75.
D.7.
e ) 8B.
"10 overs - run rate = 6.2 runs scored in first 10 overs = 62 remaining overs 40 total runs to be scored = 282 62 runs already scored 282 - 62 = 220 220 runs to be scored in 40 overs let required runrate be x 40 * x = 220 x = 220 / 40 x = 5.5 the required runrate is 5.5 answer : b" | null |
Question: given f ( x ) = 3 x β 5 , for what value of x does 2 * [ f ( x ) ] + 2 = f ( 3 x β 6 )
A.0.
B.4.
C.5.
D.7.
e ) 13C.
"answer = c = 5 f ( x ) = 3 x β 5 2 * [ f ( x ) ] + 2 = f ( 3 x β 6 ) 2 ( 3 x - 5 ) + 2 = 3 ( 3 x - 6 ) - 5 6 x - 8 = 9 x - 23 x = 5" | null |
Question: during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 135 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?
A.280.
B.320.
C.360.
D.420.
e ) 480C.
easy 360 is the answer . 3 / 4 ( x / 2 ) = 135 x = 135 * 8 / 3 = 360 . answer c | null |
Question: 5 , 11 , 23 , 41 , 64 , _
A.95.
B.96.
C.97.
D.98.
e ) 99A.
"5 + 6 = 11 11 + 6 * 2 ; 11 + 12 = 23 23 + 6 * 3 ; 23 + 18 = 41 41 + 6 * 4 ; 41 + 24 = 65 65 + 6 * 5 ; 65 + 30 = 95 answer : a" | null |
Question: the smallest number which when diminished by 6 , is divisible 12 , 14 , 16 , 18 and 22 is :
A.11099.
B.11094.
C.11091.
D.10323.
e ) 10483B.
"required number = ( l . c . m . of 12 , 14 , 16 , 18 , 22 ) + 6 = 11088 + 6 = 11094 answer : option b" | null |
Question: 3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 15 pumps work to empty the tank in 1 day ?
A.3.5.
B.4.8.
C.5.1.
D.5.2.
e ) 6.3A.
"3 pumps take 16 hrs total ( 8 hrs a day ) if 1 pump will be working then , it will need 16 * 3 = 48 hrs 1 pump need 48 hrs if i contribute 15 pumps then 48 / 15 = 3.5 hrs . answer : a" | null |
Question: a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?
A.120.
B.775.
C.555.
D.288.
e ) 278A.
"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 600 / ( 36 * 5 / 18 ) , 600 / ( 54 * 5 / 18 ) } = lcm ( 60 , 40 ) = 120 sec . answer : a" | null |
Question: if x and y are integers and 2 x β y = 11 , then 4 x + y can not be
A.β 5.
B.1.
C.13.
D.17.
e ) 55D.
"2 x - y = 11 2 x = 11 + y 4 x = 22 + 2 y now we need to check the value of 4 x + 4 = > 22 + 2 y + y = 22 + 3 y hence 22 + 3 y = value ( in the options ) so y = value - 22 / 3 so checking the options only d is unfit answer : d" | null |
Question: the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 132 . what is the number of frogs in the pond ?
A.148.
B.134.
C.156.
D.144.
e ) noneB.
"solution : ratio of ducks and frogs in pond , = 37 : 39 . average of ducks and frogs in pond , = 132 . so , total number of ducks and frogs in the pond , = 2 * 132 = 262 . therefore , number of frogs , = ( 262 * 39 ) / 76 = 134 . answer : option b" | null |
Question: calculate the circumference of a circular field whose radius is 7 centimeters .
A.11 Ο cm.
B.15 Ο cm.
C.1 Ο cm.
D.4 Ο cm.
e ) 14 Ο cmE.
"circumference c is given by c = 2 Ο r = 2 Ο * 7 = 14 Ο cm answer : e" | null |
Question: a certain car can travel 32 kilometers on a liter of fuel . if the fuel tank β s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )
A.52.
B.65.
C.78.
D.91.
e ) 104A.
"fuel used 3.9 gallons ; convert to liters - - > 3.9 x 3.8 liters time = 5.7 hours 1 mile = 1.6 kilometers ; convert to miles - - > 1 km = 1 / 1.6 mile speed ( km / hour ) = d / t = 32 ( km * ) x 3.9 x 3.8 / 5.7 replace ( km * ) to miles ; multiply by 1 / 1.6 mile speed ( miles / hour ) = 32 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles / hour ans : a ps : i felt the factors were easy to cancel out , so did n ' t require much rounding off = 32 x 3.9 x 3.8 / 5.7 x 1.6 = 52 a" | null |
Question: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did c get in a profit of rs . 2430 ?
A.s . 432.
B.s . 486.
C.s . 822.
D.s . 812.
e ) s . 810B.
"let the total amount in the partnership be ' x ' . then a ' s share = x / 3 b ' s share = x / 4 c ' s share = x / 5 d ' s share = x - ( x / 3 + x / 4 + x / 5 ) = 13 x / 60 a : b : c : d = x / 3 : x / 4 : x / 5 : 13 x / 60 = 20 : 15 : 12 : 13 a ' s share in the profit of rs . 2430 = 12 ( 2430 / 60 ) = rs . 486 answer : b" | null |
Question: the ratio of the number of females to males at a party was 1 : 2 but when 7 females and 7 males left , the ratio became 1 : 3 . how many people were at the party originally ?
A.28.
B.32.
C.36.
D.42.
e ) 50D.
the total number of people are x females + 2 x males . 3 * ( x - 7 ) = 2 x - 7 x = 14 there were 3 x = 42 people at the party originally . the answer is d . | null |
Question: the compound ratio of 5 : 6 , 3 : 2 and 4 : 5 is ?
A.3 : 5.
B.2 : 7.
C.1 : 1.
D.1 : 4.
e ) noneC.
"answer : option c 5 / 6 : 3 / 2 : 4 / 5 = 1 : 1" | null |
Question: a woman complete a journey in 20 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .
A.334 km ..
B.216 km ..
C.314 km ..
D.448 km ..
e ) 544 km .D.
"0.5 x / 21 + 0.5 x / 24 = 20 - - > x / 21 + x / 24 = 40 - - > x = 448 km . d" | null |
Question: find the compound interest on $ 1200 for 6 years at 20 % p . a . if ci is component yearly ?
A.$ 120.
B.$ 150.
C.$ 2383.
D.$ 250.
e ) $ 300C.
"a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 6 = $ 3583 ci = $ 2383 answer is c" | null |
Question: you need to unlock a secret code using following clues , can you ? here you have the clues : clue - 1 : 0 7 9 ( one of the numbers is correct and is placed in its correct position ) clue - 2 : 0 3 2 ( nothing is correct ) clue - 3 : 1 0 8 ( two numbers are correct but not placed at its correct position . ) clue - 4 : 9 2 6 ( one number is correct but not placed at its correct position . ) clue - 5 : 6 7 8 ( one number is correct but not placed at its correct position . )
A.819.
B.918.
C.198.
D.189.
e ) 891A.
0 7 9 : 9 is placed correctly * 0 3 2 : none of the numbers is in the code * 1 0 8 : 1 and 8 are correct number of code but placed at wrong position * 9 2 6 : number 9 is there but placed at wrong position * 6 7 8 : number 8 is there but placed at wrong position correct answer is a ) 819 | null |
Question: two positive integers differ by 4 , and sum of their reciprocals is 2 . then one of the numbers is
A.A.3.
B.2.
C.C.5.
D.D.21.
e ) e ) 28B.
"algebraic approach : let n be the smaller integer = > 1 / n + 1 / ( n + 4 ) = 2 or ( ( n + 4 ) + n ) / n ( n + 4 ) = 2 or ( n ^ 2 + 4 n ) * 2 = 2 n + 4 or n = 2 as n can not be - negative solve for n = > n = 2 . hence , b" | null |
Question: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 7 , while all other numbers remain the same , what is the new average of set s ?
A.6.6.
B.6.7.
C.6.8.
D.6.85.
e ) 6.9E.
"old set s - total is avg * no of elements = 6.2 * 10 = 62 if one number is increased by 7 then total increased to 62 + 7 = 69 new avg - 69 / 10 = 6.9 . hence answer is e ." | null |
Question: if p ( a ) = 1 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events .
A.7 / 25.
B.3 / 25.
C.8 / 25.
D.2 / 25.
e ) 3 / 17D.
"p ( a n b ) = p ( a ) . p ( b ) p ( a n b ) = 1 / 5 . 2 / 5 p ( a n b ) = 2 / 25 . d" | null |
Question: a train is 320 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?
A.11 seconds.
B.38 seconds.
C.40 seconds.
D.88 seconds.
e ) 36.8 secondsE.
"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 320 + 140 = 460 meter time = distance / speed = 460 * ( 2 / 25 ) = 36.8 seconds answer : e" | null |
Question: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units x digit of ( a + 2 ) ^ 2 ?
A.1.
B.3.
C.5.
D.6.
e ) c . 14A.
"i also got a . by punching in numers : x . . . 7 ^ 2 = . . . 9 . . . 8 ^ 2 = . . . 4 . . . 9 ^ 2 = . . . 1 . a" | null |
Question: by the how much is two - fifth of 300 greater than 3 - fifths of 125 ?
A.15.
B.3.
C.5.
D.45.
e ) none of theseD.
reqd no . = 2 Γ’ Β β 5 Γ£ β 300 - 3 Γ’ Β β 5 Γ£ β 125 = 120 - 75 = 45 answer d | null |
Question: a collection of books went on sale , and 2 / 3 of them were sold for $ 3.50 each . if none of the 40 remaining books were sold , what was the total amount received for the books that were sold ?
A.$ 180.
B.$ 250.
C.$ 260.
D.$ 280.
e ) $ 300D.
"if 40 books constitute 1 / 3 rd of the total , then 2 / 3 rd of the total = 80 books amount received for sold books = 80 * 3.5 = $ 280 answer : d" | null |
Question: excluding stoppages , the speed of a train is 60 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?
A.12.
B.14.
C.16.
D.18.
e ) 20E.
"explanation : t = 20 / 60 * 60 = 20 answer : option e" | null |
Question: an error 10 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?
A.6.64 %.
B.16.64 %.
C.15.64 %.
D.21 %.
e ) 10.64 %D.
"percentage error in calculated area = ( 10 + 10 + ( 10 Γ£ β 10 ) / 100 ) % = 21 % answer : d" | null |
Question: the perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm . find its area ?
A.290.
B.240.
C.2870.
D.289.
e ) 292B.
"4 a = 68 = > a = 17 172 β 82 = 152 1 / 2 * 16 * 30 = 240 answer : b" | null |
Question: if b is the center of the circle in the figure above and the area of the shaded region is 16 Ο , what is the length of arc adc ?
['A.4', 'B.4 Ο', 'C.16', 'D.8 Ο', 'e ) 16']B.
area of 1 / 4 th of the circle is 16 pi so area of the circle = 64 pi radius of circle = 8 units circumference = 2 pi * radius = 16 pi 1 / 4 th the circumference = required length of adc = 4 pi ans : b | null |
Question: in my , xiang sold 15 used cars . for these 15 used cars the range of selling prices was 15000 and the lowest selling price was 4500 . in june , xiang sold 10 cars . for these 10 cars the range of selling was 16000 and the lowest selling price was 5000 . what was the range of selling prices for the 25 used car sold by xiang in may and june ?
A.15,600.
B.15,750.
C.16,820.
D.18,100.
e ) 19,200C.
for 10 cars - 16000 + 5000 = 21,000 for 15 cars - 15000 + 4500 = 19,500 max = 21,000 min 4500 answer is approx 16,500 . option c is closest . | null |
Question: if 2 a = 3 b and ab β 0 , what is the ratio of a / 3 to b / 2 ?
A.27 / 8.
B.8 / 27.
C.1.
D.9 / 4.
e ) 81 / 64C.
"a nice fast approach is the first find a pair of numbers that satisfy the given equation : 2 a = 3 b here ' s one pair : a = 3 and b = 2 what is the ratio of a / 3 to b / 3 ? in other words , what is the value of ( a / 3 ) / ( b / 2 ) ? plug in values to get : ( a / 3 ) / ( b / 2 ) = ( 3 / 3 ) / ( 2 / 2 ) = 1 / 1 = 1 c" | null |
Question: each digit 1 through 5 is used exactly once to create a 5 - digit integer . if the 3 and the 4 can not be adjacent digits in the integer , how many 5 - digit integers are possible ?
A.48.
B.66.
C.72.
D.78.
e ) 90C.
total number of 5 digit numbers that can be formed = 5 ! = 120 . total number of 5 digit numbers in which 3 and 4 are adjacent = 48 . this can be calculated by taking 3 and 4 as a pair and considering positions where they can appear . number of 5 digit numbers in which 3 and 4 are not adjacent = total number of 5 digit numbers - total number of 5 digit numbers in which 3 and 4 are adjacent . ans = 120 - 48 = 72 c | null |
Question: in a 200 m race , a beats b by 20 m and c by 38 m . in a race of 600 m b will beat c by
A.20 m.
B.30 m.
C.25 m.
D.15 m.
e ) 60 mE.
"it means , when a covers 200 m , b covers only ( 200 - 20 ) = 180 m and c covers only ( 200 - 38 ) = 162 m = > when c covers 162 m , b covers 180 m = > when b covers 600 m , c covers 162 / 180 Γ 600 = 540 m hence , b beats c by 600 - 540 = 60 metre answer : e" | null |
Question: in what time will a train 120 m long cross an electric pole , it its speed be 121 km / hr ?
A.2.5.
B.2.7.
C.2.9.
D.3.6.
e ) 2.1D.
"speed = 121 * 5 / 18 = 33.6 m / sec time taken = 120 / 33.6 = 3.6 sec . answer : d" | null |
Question: at a recent small town election for mayor a total of 963 votes were cast for the 4 candidates , the winner exceding his opponents by 53 , 79 and 105 votes , respectively . how many votes were cast for each candidate ?
A.134.
B.178.
C.195.
D.166.
e ) 194C.
c 195 the number of votes the winning candidate received was 963 + 53 + 79 + 105 / 4 = 300 . the second received 300 β 53 = 247 , the third received 300 β 105 = 195 . | null |
Question: a customer went to a shop and paid a total of $ 30 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?
A.$ 12.70.
B.$ 13.20.
C.$ 14.10.
D.$ 15.60.
e ) $ 16.80C.
"the total cost was $ 30 . the tax was $ 0.90 let the original price of the taxable items = x given that tax rate = 6 % 0.06 x = 0.90 x = $ 15 the cost of the tax free items was $ 30 - $ 15 - $ 0.90 = $ 14.10 the answer is c ." | null |
Question: in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 5 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?
A.400.
B.500.
C.1,250.
D.2,500.
e ) 10,000B.
"total fish = x percentage of second catch = ( 5 / 50 ) * 100 = 10 % so , x * 10 % = 50 x = 500 ans b ." | null |
Question: tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random . what is the probability taht the ticket drawn has a number which is a multiple of 3 or 5 ?
A.1 / 2.
B.2 / 5.
C.8 / 15.
D.9 / 20.
e ) noneD.
"solution here s = ( 1 , 2,3 , 4,5 , . . . , 19,20 ) . let e = event of getting a multiple of 3 or 5 = ( 3 , 6,9 , 12,15 , 18,5 , 10,20 ) p ( e ) = n ( e ) / n ( s ) = 9 / 20 . answer d" | null |
Question: together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many q hours would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?
A.22 hours.
B.30 hours.
C.44 hours.
D.60 hours.
e ) it can not be determined from the information above .C.
"say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the job q in 44 hours . answer : c ." | null |
Question: rectangular floors x and y have equal area . if floor x is 10 feet by 18 feet and floor y is 9 feet wide , what is the length of floor y , in feet ?
['A.13 1 / 2', 'B.20', 'C.18 3 / 4', 'D.21', 'e ) 24']B.
the area of a rectangle is : area = length x width we are given that floor x is 10 feet by 18 feet and that floor y is 9 feet wide . so we can say : length of x = 10 width of x = 18 width of y = 9 length of y = n we also can say : area of floor x = area of floor y ( length of x ) ( width of x ) = ( length of y ) ( width of y ) ( 10 ) ( 18 ) = 9 n ( 10 ) ( 2 ) = n 20 = n answer b . | null |
Question: find the product of the localvalue and absolutevalue of 6 in 20618 ?
A.6300.
B.1100.
C.1200.
D.1300.
e ) 3600E.
"local value of 6 = 6 x 100 = 600 place value of 6 = 6 there fore = 6 x 600 = 3600 e" | null |
Question: a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?
A.$ 25.
B.$ 26.
C.$ 27.
D.$ 28.
e ) $ 29C.
"let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 18 ) = 0.8 x x = 1.2 ( 18 ) / 0.8 = 1.5 ( 18 ) = $ 27 the answer is c ." | null |
Question: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 47 kg , then the weight of b is :
A.39 kg.
B.32 kg.
C.33 kg.
D.34 kg.
e ) none of theseA.
"explanation : let a , b , c represent their respective weights . then , we have : a + b + c = ( 45 x 3 ) = 135 β¦ . ( i ) a + b = ( 40 x 2 ) = 80 β¦ . ( ii ) b + c = ( 47 x 2 ) = 94 β¦ . ( iii ) adding ( ii ) and ( iii ) , we get : a + 2 b + c = 174 β¦ . ( iv ) subtracting ( i ) from ( iv ) , we get : b = 39 . b β s weight = 39 kg . answer : a" | null |
Question: 6 women can do 75 units of work in 8 days by working 5 hrs / day . in how many days can 4 women do 30 units of work by working 8 hrs / day ?
A.3 days.
B.4 days.
C.5 days.
D.6 days.
e ) 7 daysA.
6 x 8 x 5 / 75 = 4 x 8 xa / 30 solve this for a then we get a = 3 days answer : a | null |
Question: the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 18 minutes is :
A.9.5.
B.5.5.
C.7.5.
D.6.5.
e ) 5.1C.
"explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 18 / 60 ) ) km = 7.5 km . answer : c" | null |
Question: michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 14 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?
A.117 %.
B.120 %.
C.121 %.
D.138 %.
e ) 145 %D.
"since michelle earns 14 % interest compounded semiannually , then she earns 7 % interest every 6 months . now , the simple interest earned in 5 periods ( 30 months = 5 * 6 months ) would be 7 % * 5 = 35 % . but , since the interest iscompoundedevery 6 months , then there would be interest earned on interest ( very small amount ) thus the actual interest earned would be a little bit more than 35 % , only answer choice d fits . answer : d" | null |
Question: the average of the marks of 30 students in a class is 45 . if the marks of each student are doubled , find the new average ?
A.85.
B.77.
C.33.
D.90.
e ) 75D.
"sum of the marks for the 30 students = 30 * 45 = 1350 . the marks of each student are doubled , the sum also will be doubled . the new sum = 1350 * 2 = 2700 . so , the new average = 2700 / 30 = 90 . answer : d" | null |
Question: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 25 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?
A.10 %.
B.12 %.
C.15 %.
D.17 %.
e ) 33 %E.
"lets assume that candidate got 25 % votes and total votes is 100 . candidate won = 25 remaining = 75 to get 50 % , candidate requires 25 votes from 100 which is 25 % and 25 votes from 75 . 25 / 75 = 33.33 % which is approx 33 % . hence the answer is e" | null |
Question: a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings . if quarterly earnings are $ 1.10 per share , what will be the dividend paid to a person who owns 100 shares of the company ' s stock ?
A.$ 92.
B.$ 96.
C.$ 52.
D.$ 120.
e ) $ 240C.
"eps actual > eps expected . each gets and additional . 12 per share . thus . 52 * 100 - - > $ 52 answer is c" | null |
Question: the price of precious stone is directly proportional to square of its weight . what will be the loss incurred if a stone weighing 28 gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15 : 13 ?
A.no loss.
B.10,000.
C.28,000.
D.9,500.
e ) 14,000E.
x = 28000 / 28 ^ 2 = 35.71 cost of 15 g = 35.71 * 15 ^ 2 = 8035.714 cost of 13 g = 35.71 * 13 ^ 2 = 6035.714 total cost = 14071.428 loss = 28000 - 14071.428 = 13928.5 = 14000 answer : e | null |
Question: roy is now 6 years older than julia and half of that amount older than kelly . if in 4 years , roy will be twice as old as julia , then in 4 years what would be roy β s age multiplied by kelly β s age ?
A.72.
B.84.
C.90.
D.96.
e ) 108E.
r = j + 6 = k + 3 r + 4 = 2 ( j + 4 ) ( j + 6 ) + 4 = 2 j + 8 j = 2 r = 8 k = 5 in 4 years ( r + 4 ) ( k + 4 ) = 12 * 9 = 108 the answer is e . | null |
Question: what is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad
A.814.
B.256.
C.3258.
D.896.
e ) 745A.
"explanation : length of largest tile = h . c . f . of 1517 cm and 902 cm = 41 cm . area of each tile = ( 41 x 41 ) cm ^ 2 . required number of tiles = ( 1517 x 902 / 41 * 41 ) = 814 . answer : a" | null |
Question: x starts a business with rs . 45000 . y joins in the business after 4 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ?
A.1 : 2.
B.2 : 1.
C.1 : 3.
D.3 : 1.
e ) 9 : 4E.
"explanation : ratio in which they should share the profit = ratio of the investments multiplied by the time period = 45000 Γ£ β 12 : 30000 Γ£ β 8 = 45 Γ£ β 12 : 30 Γ£ β 8 = 3 Γ£ β 12 : 2 Γ£ β 8 = 9 : 4 answer : option e" | null |
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