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Question: mr . depak has $ 449774 in his bank account . what is the least amount of money ( in whole number of dollars ) that he must add to his account if he wants to split this money evenly among her 6 best friends ? options :
A.$ 1.
B.$ 2.
C.$ 3.
D.$ 4.
e ) $ 6A.
to find the least amount deepak should add to his saving account to split the money evenly among his 6 best friends , he needs to make the total divisible by 6 simply add the individual digits of the total = 4 + 4 + 9 + 7 + 7 + 4 = 35 if you add 1 , the number is divisible by 6 ( 35 + 1 ) correct option : a | null |
Question: the ages of two person differ by 12 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively
A.30.
10.
B.25.
5.
C.29.
9.
D.50.
30.
e ) 20.
8E.
"let their ages be x and ( x + 12 ) years . then , 5 ( x - 5 ) = ( x + 12 - 5 ) = > 4 x = 32 = > x = 8 their present ages are 20 years and 8 year . answer : e" | null |
Question: a cab driver 5 days income was $ 300 , $ 150 , $ 750 , $ 200 , $ 600 . then his average income is ?
A.$ 350.
B.$ 375.
C.$ 400.
D.$ 425.
e ) $ 450C.
"avg = sum of observations / number of observations avg income = ( 300 + 150 + 750 + 200 + 600 ) / 5 = 400 answer is c" | null |
Question: 3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 4 men and 2 women will do that task .
A.5 / 7.
B.3 / 10.
C.5 / 18.
D.5 / 16.
e ) 5 / 11A.
"3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 4 m + 2 w = 10 w answer is 10 / 14 = 5 / 7 answer : a" | null |
Question: a trained covered x km at 90 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km .
A.22.
B.99.
C.27.
D.66.
e ) 887C.
total time taken = x / 90 + 2 x / 20 hours = x / 9 hours average speed = 3 x / ( x / 9 ) = 27 kmph answer : c | null |
Question: sachin is younger than rahul by 4 years . if the ratio of their ages is 7 : 9 , find the age of sachin
A.24.58.
B.24.5.
C.24.3.
D.24.9.
e ) 14E.
"if rahul age is x , then sachin age is x - 4 , so ( x - 4 ) / x = 7 / 9 = > 9 x - 36 = 7 x = > 2 x = 36 = > x = 18 so sachin age is 18 - 4 = 14 answer : e" | null |
Question: a triangle and a parallelogram are constructed on the same base such that their areas are equal . if the altitude of the parallelogram is 100 m , then the altitude of the triangle is .
['A.10 √ 2 m', 'B.100 m', 'C.100 √ 2 m', 'D.200 m', 'e ) none']D.
solution let the altitude of the triangle be h ï and base of each be b . then , ( ½ × b × h 1 ) where h 2 = 100 m . = h 1 = 2 h 2 = ( 2 x 100 ) m = 200 m . answer d | null |
Question: a man buys an item at rs . 1200 and sells it at the loss of 20 percent . then what is the selling price of that item
A.rs . 660.
B.rs . 760.
C.rs . 860.
D.rs . 960.
e ) none of theseD.
"explanation : here always remember , when ever x % loss , it means s . p . = ( 100 - x ) % of c . p when ever x % profit , it means s . p . = ( 100 + x ) % of c . p so here will be ( 100 - x ) % of c . p . = 80 % of 1200 = 80 / 100 * 1200 = 960 option d" | null |
Question: a sum of money is distributed among w , x , y , z in the proportion of 4 : 2 : 5 : 3 . if y gets $ 500 more than z , what is the x ' s share ?
A.$ 4000.
B.$ 500.
C.$ 2500.
D.$ 2800.
e ) $ 1400B.
"let the shares of w , x , y , z are 4 a , 2 a , 5 a , 3 a 5 a - 3 a = 500 2 a = 500 , a = 250 x ' s share = 2 a = $ 500 answer is b" | null |
Question: a man rows his boat 110 km downstream and 90 km upstream , taking 3 hours each time . find the speed of the stream ?
A.6.
B.5.
C.7.5.
D.3.5.
e ) 2.5D.
"speed downstream = d / t = 110 / ( 3 ) = 37 kmph speed upstream = d / t = 90 / ( 3 ) = 30 kmph the speed of the stream = ( 37 - 30 ) / 2 = 3.5 kmph answer : d" | null |
Question: five women can do a work in ten days . 7 men can complete the same work in 5 days . what is the ratio between the capacity of a man and a woman ?
A.10 : 7.
B.11 : 10.
C.2 : 3.
D.3 : 2.
e ) none of theseA.
explanation : ( 50 ã — 10 ) women can complete the work in 1 day . â ˆ ´ 1 woman ' s 1 day ' s work = 1 / 50 ( 7 ã — 5 ) men can complete the work in 1 day . â ˆ ´ 1 man ' s 1 day ' s work = 1 / 35 so , required ratio = 1 / 50 : 1 / 35 = 10 : 7 answer : a | null |
Question: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 340 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ?
A.40.
B.110.
C.120.
D.130.
e ) 220A.
"orchestra seats - a balcony seats - b a + b = 340 and 12 a + 8 b = 3320 solving equations simultaneously ( multiply equation 1 with 8 and subtract from second equation ) 4 a = 3320 - 8 * 340 = 3320 - 2720 = 600 i . e . a = 150 and b = 340 - 150 = 190 more seats in balcony than orchestra = b - a = 190 - 150 = 40 answer : option a" | 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 - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ?
A.54.
B.4032.
C.2,160.
D.2,916.
e ) 148,824B.
we have the rectangle with dimensions 9 * 8 ( 9 horizontal dots and 8 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 * 8 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 ) : 7 c 1 , ( 8 - 1 = 7 as 1 vertical dot is already occupied by a ) . 9 c 1 * 8 c * 8 c 1 * 7 c 1 = 4032 . answer : b . | null |
Question: there are 8 stores in town that had a total of 22 visitors on a particular day . however , only 12 people went shopping that day ; some people visited more than one store . if 8 people visited exactly two stores each , and everyone visited at least one store , what is the largest number of stores anyone could have visited ?
A.2.
B.3.
C.4.
D.5.
e ) 6B.
8 people visited 2 stores each for 16 visits . to maximize the number of stores that one person visited , let ' s assume that 3 people visited 1 store each . the number of remaining visits is 22 - 16 - 3 = 3 , which is the maximum that one person could have visited . the answer is b . | null |
Question: a set s = { x , - 8 , - 5 , - 1 , 1 , 6 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ?
A.- 1.
B.can not be determined.
C.1.
D.0.
e ) 2E.
"median of the set = ( - 1 + 1 ) / 2 = 0 as per statement , mean of the set = 0 mean of the set | y | - | x | + 16 - 14 = 0 ( where x is negative n y is positive ) | y | - | x | = - 2 so the absolute difference between two numbers is 2 answer e" | null |
Question: it takes avery 3 hours to build a brick wall while tom can do it in 3 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?
A.20.
B.60.
C.30.
D.40.
e ) 50B.
"avery takes 3 hours tom takes 3 hours efficiency of avery is 1 / 3 units / hr efficiency of tom is 1 / 3 units / hr combined efficiency of tom and avery is 1 / 3 + 1 / 3 = 2 / 3 units / hr since they worked for 1 hour they completed 2 / 3 units of work and 1 / 3 units of work is left which is to be completed by tom ( since avery left ) so time taken by tom to complete the remaining work will be 1 / 3 / 1 / 3 hours = > 1 * 60 = 60 minutes . . . answer will be ( b )" | null |
Question: a student got 70 % in one subject , 80 % in other . to get overall 75 % how much he should get in third subject .
A.65 %.
B.75 %.
C.85 %.
D.95 %.
e ) 88 %B.
already average of two subjects is ( 70 + 80 ) / 2 = 75 % to maintain the percentage at 75 % , he shouls get 75 % marks in third subject answer : b | null |
Question: 4 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )
A.12.
B.144.
C.18.
D.21.
e ) 24B.
the list should be wmwmw . hence , from women 3 ! and men 4 ! , we get ( 3 ! ) ( 4 ! ) = 144 . therefore , the correct answer is b . | null |
Question: in a class , 10 students like to play basketball and 8 like to play cricket . 4 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ?
A.12.
B.15.
C.16.
D.18.
e ) 14E.
"draw a venn diagram yourself ! b + c - bc = number of students that play either basketball or cricket 10 + 8 - 4 = 14 e )" | null |
Question: a box contains 9 apples , 8 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ?
A.3.
B.4.
C.5.
D.6.
e ) 7C.
"p ( choosing a red apple 5 times in a row ) = 8 / 9 * 7 / 8 * 6 / 7 * 5 / 6 * 4 / 5 = 4 / 9 < 0.5 the answer is c ." | null |
Question: what is the units digit of ( 5 ! * 4 ! - 3 ! * 5 ! ) / 120
A.7.
B.8.
C.9.
D.4.
e ) 1B.
"( 5 ! * 4 ! - 3 ! * 5 ! ) / 9 = 5 ! ( 4 ! - 3 ! ) / 120 = 120 ( 24 - 6 ) / 120 = 18 units digit of the above product will be equal to 8 answer b" | null |
Question: the area of circle o is added to its diameter . if the circumference of circle o is then subtracted from this total , the result is 4 . what is the area of circle o ?
['A.2 / π', 'B.2', 'C.8', 'D.4', 'e ) 4 π']E.
area + diameter - circumference = 4 pi * r ^ 2 + 2 r = 4 + 2 pi * r isolate r and get r ( pi * r + 2 ) = 4 + 2 pi * r r = ( 4 + 2 pi * r ) / ( pi * r + 2 ) = > 2 ( 2 + pi * r ) / ( pi * r + 2 ) r = 2 area = pi * r ^ 2 = > pi * 4 e | null |
Question: ( 3080 + 6160 ) / 28
A.380.
B.350.
C.330.
D.310.
e ) none of theseC.
"explanation : as per bodmas rule , first we will solve the equation in bracket then we will go for division = ( 9240 ) / 28 = 330 option c" | null |
Question: the length of the bridge , which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds , is
A.200 m.
B.225 m.
C.245 m.
D.250 m.
e ) noneC.
"sol . speed = [ 45 x 5 / 18 ] m / sec = ( 25 / 2 ) m / sec ; time = 30 sec . let the length of bridge be x metres . then , 130 + x / 30 = 25 / 2 ⇔ 2 ( 130 + x ) = 750 ⇔ x = 245 m . answer c" | null |
Question: the sum of the even numbers between 1 and n is 89 * 90 , where n is an odd number , then n = ?
A.167.
B.173.
C.179.
D.185.
e ) 193C.
"let n - 1 = 2 a . 2 + 4 + . . . + 2 a = 2 * ( 1 + 2 + . . . + a ) = 2 * ( a ) ( a + 1 ) / 2 = ( a ) ( a + 1 ) = 89 * 90 then a = 89 and n = 179 . the answer is c ." | null |
Question: a train 360 m long is running at a speed of 45 km / hr . in what time will be pass a bridge 140 m long ?
A.40 sec.
B.42 sec.
C.45 sec.
D.48 sec.
e ) noneA.
"sol . speed = [ 45 x 5 / 18 ] m / sec = 25 / 2 m / sec . total distance covered = ( 360 + 140 ) m = 500 m . ∴ required time = ( 500 x 2 / 25 ) sec = 40 sec . answer a" | null |
Question: a person distributed 10 % of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ?
A.$ 900.
B.$ 1000.
C.$ 1200.
D.$ 1150.
e ) $ 1500B.
"2 children got = 2 * 10 % = 20 % wife got = 20 % orphan house = 10 % total = 20 + 20 + 10 = 50 % remaining = 100 - 50 = 50 % 50 % = 500 100 % = 500 * 100 / 50 = $ 1000 answer is b" | null |
Question: if q is a positive integer and q ^ 2 is divisible by 12 , then the largest positive integer that must divide q ^ 3 is
A.2 ^ 3.
B.2 ^ 6.
C.3 ^ 3.
D.6 ^ 3.
e ) 12 ^ 2D.
since q is an integer so q can not have a 2 and sqrt 3 ( because squaring this will give us a 2 ^ 2 and 3 ( making the product as 12 , and making q ^ 2 as a multiple of 12 ) ) q ^ 2 is divisible by 12 ( 12 = 2 * 2 * 3 ) , so , q should have at least one 2 and one 3 so that q ^ 2 has a 2 ^ 2 and two 3 so , q will have a 2 and a 3 . or q will be a multiple of 6 so , largest possible integer than should divide q ^ 3 is 6 ^ 3 so , answer will be d | null |
Question: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?
A.75 kg.
B.65 kg.
C.55 kg.
D.85 kg.
e ) 105 kgE.
"total weight increased = ( 8 x 5 ) kg = 40 kg . weight of new person = ( 65 + 40 ) kg = 105 kg . answer : e" | null |
Question: two cubes of their volumes in the ratio 64 : 343 . the ratio of their surface area is :
A.1.5 : 5.
B.2 : 5.
C.3 : 5.
D.1 : 5.
e ) 4 : 7E.
"the ratio of their surface area is 64 : 343 4 : 7 answer is e ." | null |
Question: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 28 , then n =
A.3.
B.6.
C.12.
D.27.
e ) 24D.
"2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 28 = > 4 x 2 ^ 2 n = 4 ^ 28 = 2 ^ 56 = > 2 ^ 2 x 2 ^ 2 n = 2 ^ 56 = > 2 ^ ( 2 n + 2 ) = 2 ^ 56 = > 2 n + 2 = 56 = > n = 27 so . answer will be d ." | null |
Question: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 4 x 2 meter sheets of metal that can be cut , how many metal sheets will be required for this order y ? ( 1 cubic meter = 1000 liters )
A.92.
B.90.
C.82.
D.78.
e ) 75E.
i get 75 . a cube with 1 million liters cube would be a cube with the dimensions of 100 * 100 * 100 . 4 * 2 covers 8 sq liters so 100 / 8 = 12.5 . y = 12.5 * 6 = 75 . e | null |
Question: if a / b = 4 / 3 , then ( 3 a + 2 b ) / ( 3 a - 2 b ) = ?
A.6.
B.3.
C.5.
D.- 1.
e ) noneB.
answer dividing numerator as well as denominator by b , we get given exp . = ( 3 a + 2 b ) / ( 3 a - 2 b ) = ( 3 a / b + 2 ) / ( 3 a / b - 2 ) = [ ( 3 x 4 ) / 3 + 2 ] / [ ( 3 x 4 ) / 3 - 2 ] = ( 4 + 2 ) / ( 4 - 2 ) = 3 option : b | null |
Question: two numbers are in the ratio 3 : 4 . if their l . c . m . is 60 . what is sum of the numbers ?
A.35.
B.56.
C.76.
D.84.
e ) 85A.
"explanation : let the numbers be 3 x and 4 x lcm of 3 x and 4 x = 12 x ( since lcm of 3 and 4 is 12 . hence lcm of 3 x and 4 x is 12 x ) given that lcm of 3 x and 4 x is 60 = > 12 x = 60 = > x = 60 / 12 = 5 sum of the numbers = 3 x + 4 x = 7 x = 7 x 5 = 35 answer : option a" | null |
Question: a train traveled the first d miles of its journey it an average speed of 40 miles per hour , the next d miles of its journey at an average speed of y miles per hour , and the final d miles of its journey at an average speed of 160 miles per hour . if the train ’ s average speed over the total distance was 96 miles per hour , what is the value of y ?
A.68.
B.84.
C.100.
D.120.
e ) 135C.
"average speed = total distance traveled / total time taken 3 d / d / 40 + d / y + d / 160 = 96 solving for d and y , 15 y = 11 y + 480 4 y = 400 y = 100 answer c" | null |
Question: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 15000 left with him . find salary . .
A.$ 150000.
B.$ 18000.
C.$ 180000.
D.$ 1800.
e ) noneA.
[ 1 / ( x 1 / y 1 + x 2 / y 2 + x 3 / y 3 ) ] * total amount = balance amount [ 1 - ( 1 / 5 + 1 / 10 + 3 / 5 ) } * total salary = $ 15000 , = [ 1 - 9 / 10 ] * total salary = $ 15000 , total salary = $ 15000 * 10 = $ 150000 , correct answer ( a ) | null |
Question: 17200 x 223 + 17200 x 77 = ?
A.2736900.
B.2738800.
C.2658560.
D.5160000.
e ) none of themD.
"= 17200 x ( 223 + 77 ) ( by distributive law ) = 17200 x 300 = 5160000 answer is d" | null |
Question: how many cuboids of length 5 m , width 3 m and height 2 m can be farmed from a cuboid of 12 m length , 14 m width and 10 m height .
A.82.
B.56.
C.80.
D.56.
e ) 100B.
"( 12 ã — 14 ã — 10 ) / ( 5 ã — 3 ã — 2 ) = 56 answer is b ." | null |
Question: what is the lowest positive integer that is divisible by each of the integers 1 through 12 inclusive ?
A.420.
B.840.
C.1260.
D.2520.
e ) 27,720E.
"we have to find the lcm of 1 , 2 , 3 , 2 ^ 2 , 5 , 2 * 3 , 7 , 2 ^ 3 , 3 ^ 2 , 2 * 5 , 11 , and 2 ^ 2 * 3 . the lcm is 1 * 2 ^ 3 * 3 ^ 2 * 5 * 7 * 11 = 27,720 the answer is e ." | null |
Question: the length of the bridge , which a train 160 m long and traveling at 45 km / hr can cross in 30 sec is ?
A.377.
B.367.
C.237.
D.215.
e ) 267D.
"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 160 + x ) / 30 = 25 / 2 x = 215 m . answer : d" | null |
Question: car dealership x , the total profit from sales increased by 30 percent over the previous years , while the number of cars sold decreased by 30 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .
A.18 %.
B.30 %.
C.52 %.
D.63 %.
e ) 85.71 %E.
let profit be x and cars sold be y originally profit / car = x / y now it is 1.3 x / 0.7 y = 13 / 7 ( x / y ) increase in profit per car = ( ( 6 / 7 ) ( x / y ) ) / ( x / y ) * 100 = 85.71 % answer = e | null |
Question: arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 30 days .
A.16 days ..
B.17 days ..
C.18 days ..
D.19 days ..
e ) 20 days .C.
"they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 30 * 6 / 10 = 18 days . answer : c" | null |
Question: 10 men and 15 women together can complete a work in 8 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?
A.127 days.
B.667 days.
C.177 days.
D.187 days.
e ) 600 daysE.
"1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 8 15 women ' s 1 day work = ( 1 / 8 - 10 / 100 ) = 1 / 40 1 woman ' s 1 day work = 1 / 600 1 woman alone can complete the work in 600 days . answer : e" | null |
Question: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 28 !
A.13.
B.10.
C.12.
D.14.
e ) 16A.
"solution - consider multiples of 25 ! = > 3 , 6,9 , 12,15 , 18,21 , 24,27 count no . of 3 in each multiple . 3 = 3 x 1 - > 1 6 = 3 x 2 - > 1 9 = 3 x 3 - > 2 12 = 3 x 4 - > 1 15 = 3 x 5 - > 1 18 = 3 x 3 x 2 - > 2 21 = 3 x 7 - > 1 24 = 3 x 8 - > 1 27 = 3 x 3 x 3 - > 3 - - - - count 3 ' s = 13 so answer is 13 answer : a" | null |
Question: a train which has 390 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?
A.26 sec.
B.39 sec.
C.36 sec.
D.29 sec.
e ) 30 secB.
"time taken to cross a moving person = length of train / relative speed time taken = 390 / ( ( 45 - 9 ) ( 5 / 18 ) = 390 / 36 * ( 5 / 18 ) = 390 / 10 = 39 sec answer : b" | null |
Question: if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what is the compound interest on the same sum at the rate and for the same time ?
A.rs . 51.25.
B.rs . 51.27.
C.rs . 51.79.
D.rs . 51.8.
e ) rs . 51.93A.
"sum = ( 50 * 100 ) / ( 2 * 5 ) = rs . 500 amount = [ 500 * ( 1 + 5 / 100 ) 2 ] = rs . 551.25 c . i . = ( 551.25 - 500 ) = rs . 51.25 . answer : a" | null |
Question: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 6.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?
A.$ 4.50.
B.$ 5.10.
C.$ 5.30.
D.$ 5.50.
e ) $ 6.50E.
"i tried using time / rate approach : - initial price difference = 6.80 - 3.20 = 3.60 price of corn increasing by 5 x price of wheat decreasing by x ( 1.4 ) - x = . 4 x since both the quantities are moving towards reducing the price gap hence : - relative increase = 5 x + . 4 x let t be the time by which gap is filled so , 3.6 = t ( 5.4 x ) - > t = ( 3.6 ) / 5.4 x final price = 3.20 + 5 x * t - > 3.20 + 5 * 3.6 / 5.4 = 6.5 answer e ." | null |
Question: a person borrows 9000 for 9 years at 3 % p . a . simple interest . he immediately lends it to another person at 7 % p . a . for 9 years . find his gain in the transaction per year .
A.380.
B.360.
C.340.
D.300.
e ) 180B.
"gain in 9 years = [ ( 9000 ã — 9 ã — 7 / 100 ) â ˆ ’ ( 9000 ã — 9 ã — 3 / 100 ) ] = ( 5670 â € “ 2430 ) = 3240 â ˆ ´ gain in 1 year = ( 3240 / 9 ) = 360 answer b" | null |
Question: 2001 + 1015
A.8390.
B.3016.
C.2808.
D.3890.
e ) 2080B.
b | null |
Question: a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total .
A.24 %.
B.25 %.
C.26 %.
D.28 %.
e ) 30 %E.
"if the total quantity was 100 then 40 x 30 % + 60 x 30 % = 30 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" | null |
Question: the speed of a boat in still water in 42 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 44 minutes is :
A.86.6 km.
B.46.6 km.
C.33.7 km.
D.35.6 km.
e ) 26.6 kmC.
"speed downstream = ( 42 + 4 ) = 46 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time × speed = 11 / 15 × 46 = 33.7 km answer : c" | null |
Question: the average expenditure of a labourer for 5 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.69.5.
B.71.2.
C.60.4.
D.62.1.
e ) 72.1A.
"income of 6 months = ( 5 × 85 ) – debt = 425 – debt income of the man for next 4 months = 4 × 60 + debt + 30 = 270 + debt ∴ income of 10 months = 695 average monthly income = 695 ÷ 10 = 69.5 answer a" | null |
Question: a rectangular field has a length 10 meters more than it is width . if the area of the field is 119 , what is the length ( in meters ) of the rectangular field ?
A.13.
B.15.
C.17.
D.19.
e ) 21C.
"area = l * w = ( l ) * ( l - 10 ) = 171 trial and error : 20 * 10 = 200 ( too high ) 19 * 9 = 171 ( too high ) 18 * 8 = 144 ( too high ) 17 * 7 = 119 the length is 17 meters . the answer is c ." | null |
Question: in country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?
A.35 %.
B.43 %.
C.55 %.
D.65 %.
e ) 75 %B.
"setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 12 % job of choice total = 40 % not job of choice with diploma = . 25 x not job of choice w / o diploma = . 75 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 25 % of 60 % = 15 % . we can also see that 28 % of the people have their job of choice and a diploma ( 40 % - 12 % = 28 % ) . 28 % + 15 % = 43 % . therefore 43 % of the people in country z have a diploma . ans b" | null |
Question: in a village of 2,500 people , 800 people are over 70 years old and 850 people are female . it is known that 40 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?
A.221 / 250.
B.199 / 250.
C.33 / 50.
D.8 / 25.
e ) 51 / 250B.
"to solve this we would need to know the number of people who are less than 70 years old , the number of males , and the number of males who are less than 70 years old . overlapping sets : quantity of a or b = a + b - ( a ∩ b ) = quantity of a + quantity of b - ( intersection of a and b ) number of males = 2500 - 850 = 1650 number of people below 70 years old = 2500 - 800 = 1700 number of males below 70 years old = 1700 - ( 850 * 0.4 ) = 1360 total number of people who are male or below 70 = 1650 + 1700 - 1360 = 1990 probability of male or below 70 = 1990 / 2500 = 199 / 250 answer : b" | null |
Question: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively . a third pipe c can drain off 56 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
A.549.
B.540.
C.542.
D.672.
e ) 279D.
"1 / 12 + 1 / 15 - 1 / x = 1 / 15 x = 12 12 * 56 = 672 answer : d" | null |
Question: country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes , what is the first tier ' s price level ?
A.$ 1600.
B.$ 6000.
C.$ 6050.
D.$ 7050.
e ) $ 13000E.
"let t be the tier price , p be total price = 14000 per the given conditions : 0.12 t + 0.08 ( p - t ) = 1640 - - - - > t = 13000 . e is the correct answer ." | null |
Question: in 10 years , a will be twice as old as b was 10 years ago . if a is now 5 years older than b the present age of b is
A.37.
B.38.
C.39.
D.35.
e ) 41D.
"let present age of a be a and b be b a + 10 = 2 * ( b - 10 ) = > 2 b - a = 30 . . . . . . ( i ) a = b + 5 = > 2 b - b - 5 = 30 b = 35 so the present age of b is 35 years answer : d" | null |
Question: a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many 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 of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways . answer : c ." | null |
Question: 1257 1275 1527 . . . . . . . . . . . . . . . . + 7521 the addition problem above shows 4 of the 24 different integers that can be formed by using each of the digits 1 , 25 and 7 exactly once in each integer . what is the sum t of the 24 integers ?
A.26996.
B.44406.
C.60444.
D.66660.
e ) 99990E.
this is the way i solved it : total no . of different combos = 24 , total digits 4 therefore each digit must repeat 24 / 4 = 6 times in each row . . so the right most row would add up to 1 x 6 + 2 x 6 + 5 x 6 + 7 x 6 = 6 + 12 + 30 + 42 = 90 . . each row would add up to 90 , so 90 in the first means we have 9 that carries over and we get 0 , the second time its 90 + 9 and 9 stays and one 9 goes to the row to the left , so the last two digits of the sum t should be 90 ( e ) . . we could go on and solve the exact number but since only one answer choice has the last digits as 90 we need n ' t go any further . . | null |
Question: john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 20,000 at the quarterly constant compounded rate of 4 percent . if the interests are the same after 1 year , what is the value of x ? ?
A.40,402.
B.40404.
C.40000.
D.50000.
e ) 50005A.
"a = p ( 1 + r / n ) ^ nt a = total amount accrued p = principal deposited r = rate of interest in decimal form n = number of times per year , interest compounded t = time in number of years . . x ( 1 + 0.02 / 2 ) ^ 2 - x = 20,000 ( 1 + 0.04 / 4 ) ^ 4 - 20,000 [ when the principal is subtracted from the total amount accrued , the resulting difference is the interest portion and question states interests are equal ) = > x [ ( 1.01 ) ^ 2 - 1 ] = 20,000 [ ( 1.01 ) ^ 4 - 1 ] = > x [ ( 1.01 ) ^ 2 - 1 ] = 20,000 [ ( 1.01 ) ^ 2 + 1 ] [ ( 1.01 ) ^ 2 - 1 ] - - > using a ^ 2 - b ^ 2 = a + b x a - b formula and cancel common expression on both sides = > x = 20,000 ( 1.0201 + 1 ) = 40,402 . hence answer is a ." | null |
Question: convert the 1 / 3 m / s into kilometers per hour ?
A.2.9 kmph.
B.9.9 kmph.
C.1.3 kmph.
D.1.2 kmph.
e ) 5.7 kmphD.
"1 / 3 m / s = 1 / 3 * 18 / 5 = 12 / 10 = 1.2 kmph . answer : d" | null |
Question: if x , y , and z are positive integers , and 3 x = 5 y = 6 z , then the least possible value of x + y + z is
A.21.
B.28.
C.37.
D.42.
e ) 60A.
"take lcm of 3,5 and 6 = 30 now 3 x = 30 = > x = 10 5 y = 30 = > y = 6 6 z = 30 = > z = 5 10 + 6 + 5 = 21 . option a ." | null |
Question: evaluate : 19 + sqrt ( - 2 + 12 ã — 6 ã · 9 ) = ?
A.51.
B.53.
C.55.
D.57.
e ) 59C.
"according to order of operations , inner brackets first where 12 x 6 ã · 9 is first calculated since it has a multiplication and a division . 12 x 6 ã · 9 = 72 ã · 9 = 8 hence 19 + sqrt ( - 2 + 12 ã — 6 ã · 9 ) = 19 + sqrt ( - 2 + 8 ) = 19 + sqrt ( 6 ) = 19 + 36 = 55 correct answer c ) 55" | null |
Question: the total number of digits used in numbering the pages of a book having 369 pages is
A.732.
B.990.
C.999.
D.1305.
e ) 1405C.
total number of digits = ( no . of digits in 1 - digit page nos . + no . of digits in 2 - digit page nos . + no . of digits in 3 - digit page nos . ) = ( 1 x 9 + 2 x 90 + 3 x 270 ) = ( 9 + 180 + 810 ) = 999 . answer : c | null |
Question: when 732 is subtracted form the square of a number , the answer that is obtained is 5280 . what is the number ?
['A.228', 'B.103', 'C.286', 'D.122', 'e ) 102']B.
explanation : let the number be x x 2 - 732 = 5280 x 2 = 5280 + ( 70 + 3 ) 2 = 5280 + 4900 + 420 + 9 = 10609 = 10000 + 2 ( 100 ) ( 3 ) + 32 = ( 100 + 3 ) 2 x = 100 + 3 = 103 . answer : b | null |
Question: the average height of 35 boys in a class was calculated as 182 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ?
A.187.89 cm.
B.180.29 cm.
C.123.98 cm.
D.149.98 cm.
e ) 146.89 cmB.
"calculated average height of 35 boys = 182 cm . wrong total height of 35 boys = 182 * 35 cm . this was as a result of an actual height of 106 cm being wrongly written as 166 cm . correct total height of 35 boys = 182 cm - ( 166 cm - 106 cm ) / 35 = 182 cm - ( 166 cm - 106 cm ) / 35 = 182 cm - 60 / 35 cm = 182 cm - 1.71 cm = 180.29 cm . answer : b" | null |
Question: the length of a train and that of a platform are equal . if with a speed of 108 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?
A.299.
B.266.
C.299.
D.900.
e ) 261D.
"speed = [ 108 * 5 / 18 ] m / sec = 30 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 30 = > x = 30 * 60 / 2 = 900 answer : d" | null |
Question: the simple form of the ratio 7 / 6 : 2 / 5 is ?
A.10 : 6.
B.10 : 3.
C.15 : 3.
D.25 : 3.
e ) 35 : 12E.
"7 / 6 : 2 / 5 = 35 : 12 answer : e" | null |
Question: ravi and sunil are partners in a business . ravi invests rs . 12,000 for 4 months and sunil invested rs . 10000 for 5 months then after one year ratio of their profits will be
A.1 : 3.
B.2 : 3.
C.24 : 25.
D.20 : 22.
e ) 3 : 4C.
= ( 12000 * 4 ) : ( 10000 * 5 ) = 48000 : 50000 = 24 : 25 answer : c | null |
Question: the value of “ a ” varies in inverse proportion as the square of “ b ” . if the value of “ a ” is equal to 40 when “ b ” is equal to 12 . what would be the value of “ a ” when “ b ” is equal to 24 ?
['A.10', 'B.88', 'C.26', 'D.27', 'e ) 28']A.
explanation : we have , a α 1 / b 2 a * b 2 = k ( constant ) when b = 12 , a = 40 … . . given k = 40 * ( 12 ) 2 = 5760 now , b = 24 . hence , a = 5760 / 576 = 10 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 . 4 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.4000.
B.3624.
C.5673.
D.4530.
e ) 4566B.
"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 * 4 = rs . 3624 answer : option b" | null |
Question: of the 65 cars on a car lot , 45 have power steering , 25 have power windows , and 17 have both power steering and power windows . how many of the cars on the lot have neither power steering nor power windows ?
A.2.
B.8.
C.12.
D.15.
e ) 18C.
total - neither = all power steering + all power windows - both or 65 - neither = 45 + 25 - 17 = 53 . = > neither = 12 , hence c . answer : c | null |
Question: if two painters can complete two rooms in two hours , how many hours 10 painters would it take to do 20 rooms ?
A.4.
B.3.
C.5.
D.8.
e ) 7A.
"explanation : two painters can complete two rooms in two hours . so 20 rooms can be painted in 4 hrs by 10 painters answer : a ) 4 painters" | null |
Question: convert 0.32 in to a vulgar fraction ?
A.8 / 25.
B.16 / 50.
C.17 / 50.
D.19 / 50.
e ) noneA.
"answer 0.32 = 32 / 100 = 8 / 25 correct option : a" | null |
Question: the l . c . m . of two numbers is 60 . the numbers are in the ratio 2 : 3 . then sum of the number is :
A.28.
B.32.
C.40.
D.53.
e ) 50E.
"let the numbers be 2 x and 3 x . then , their l . c . m . = 6 x . so , 6 x = 60 or x = 10 . the numbers are 20 and 30 . hence , required sum = ( 20 + 30 ) = 50 . answer : option e" | null |
Question: the sum of three consecutive even numbers is 63 , find the last one ?
A.26.
B.24.
C.21.
D.23.
e ) 19D.
"let the first number be n let the second number be n + 2 let the third number be n + 4 n + n + 2 + n + 4 = 63 combine like terms : 3 n + 6 = 63 3 n = 63 - 6 3 n = 57 n = 19 n + 2 = 21 n + 4 = 23 the last number is 23 answer : d" | null |
Question: a cycle is bought for rs . 900 and sold for rs . 1170 , find the gain percent ?
A.27 %.
B.20 %.
C.80 %.
D.30 %.
e ) 24 %D.
"900 - - - - 270 100 - - - - ? = > 30 % answer : d" | null |
Question: rs 378 is divided among the 3 children such that 12 times of anusha is equal to 8 times of babu which is equal to 6 times of esha . how much the rupee anusha get ?
A.74.
B.84.
C.94.
D.104.
e ) 114B.
if money with anusha = a , babu = b & esha = e , then a + b + e = 378 - - - ( i ) & 12 a = 8 b = 6 e , so b = 3 a / 2 & e = 2 a substituting these values of b & e in ( i ) , a + ( 3 a / 2 ) + 2 a = 378 , on solving , a = 84 so , b = 126 , e = 168 answer : b | null |
Question: the price of 10 chairs is equal to that of 4 tables . the price of 15 chairs and 2 tables together is rs . 4000 . the total price of 12 chairs and 3 tables is ?
A.rs . 3900.
B.rs . 4900.
C.rs . 4980.
D.rs . 5000.
e ) rs . 5900A.
let the cost of a chair and that of a table be rs . x and rs . y respectively . then , 10 x = 4 y or y = 5 x . 2 15 x + 2 y = 4000 15 x + 2 x 5 x = 4000 2 20 x = 4000 x = 200 . so , y = 5 x 200 = 500 . 2 hence , the cost of 12 chairs and 3 tables = 12 x + 3 y = rs . ( 2400 + 1500 ) = rs . 3900 . a ) | null |
Question: a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 12 multiples of 14 , how many multiples of 7 are there in q ?
A.20.
B.21.
C.22.
D.23.
e ) 24D.
"halfway between the multiples of 14 , there will be another multiple of 7 . the total number of multiples of 7 is 12 + 11 = 23 . the answer is d ." | null |
Question: the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 8 students is 16 years . the age of the 15 th student is
A.9 years.
B.13 years.
C.14 years.
D.21 years.
e ) 25 yearsB.
"solution age of the 15 th student = [ 15 x 15 - ( 14 x 6 + 16 x 8 ) ] = ( 225 - 212 ) = 13 years . answer b" | null |
Question: a can do a work in 6 days . b can do the same work in 12 days . if both a & b are working together in how many days they will finish the work ?
A.3.
B.5.
C.4.
D.2.
e ) 6C.
"a rate = 1 / 6 b rate = 1 / 12 ( a + b ) rate = ( 1 / 6 ) + ( 1 / 12 ) = 1 / 4 a & b finish the work in 4 days correct option is c" | null |
Question: in an organisation there are 1000 employees out of which 250 earn below 10 k $ and 500 earn between 10 k $ and 50 k $ . what is the total percentage of employees who earn less than 50 k $ ?
A.66 %.
B.75 %.
C.70 %.
D.50 %.
e ) 82 %B.
total percentage = ( 250 + 500 ) / 1000 = 0.75 b | null |
Question: how many quarters are equal to 6 dollars ?
A.1.
B.8.
C.12.
D.9.
e ) 24E.
6 * 4 = 24 quarters answer : e | null |
Question: the difference between the place value and the face value of 9 in the numeral 856973 is
A.973.
B.891.
C.5994.
D.6084.
e ) none of theseB.
"( place value of 9 ) - ( face value of 9 ) = ( 900 - 9 ) = 891 answer : option b" | null |
Question: the price of 2 sarees and 4 shirts is rs . 1600 . with the same money one can buy 1 saree and 6 shirts . if one wants to buy 12 shirts , how much shall he have to pay ?
A.2500.
B.2700.
C.2200.
D.2900.
e ) 2400E.
let the price of a saree and a shirt be rs . x and rs . y respectively . then , 2 x + 4 y = 1600 . . . . ( i ) and x + 6 y = 1600 . . . . ( ii ) divide equation ( i ) by 2 , we get the below equation . = > x + 2 y = 800 . - - - ( iii ) now subtract ( iii ) from ( ii ) x + 6 y = 1600 ( - ) x + 2 y = 800 - - - - - - - - - - - - - - - - 4 y = 800 - - - - - - - - - - - - - - - - therefore , y = 200 . now apply value of y in ( iii ) = > x + 2 x 200 = 800 = > x + 400 = 800 therefore x = 400 solving ( i ) and ( ii ) we get x = 400 , y = 200 . cost of 12 shirts = rs . ( 12 x 200 ) = rs . 2400 . answer is e . | null |
Question: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number y of employees who take the subway to work ?
A.12.
B.13.
C.14.
D.15.
e ) 16D.
"p / 3 + f / 4 = p / 3 + ( 48 - p ) / 4 = 12 + p / 2 p / 3 + f / 3 = ( p + f ) / 3 = 48 / 3 = 16 p / 4 + f / 4 = 12 p / 3 + f / 3 > p / 3 + f / 4 > p / 4 + f / 4 - - > 16 > 12 + p / 12 > 12 greatest possible y : 12 + p / 12 = 15 - - > p = 36 ( integer - - > good ) 15 or d is the answer" | null |
Question: a garden center sells a certain grass seed in 5 - pound bags at $ 13.80 per bag , 10 - pound bags at $ 20.43 per bag , and 25 - pound bags $ 32.25 per bag . if a customer is to buy at least 65 pounds of the grass seed , but no more than 80 pounds , what is the least possible cost of the grass seed that the customer will buy ?
A.$ 98.73.
B.$ 96.75.
C.$ 98.78.
D.$ 102.07.
e ) $ 105.3A.
there can be 2 cases 1 ) 25 + 25 + 10 + 5 = $ 98.73 or 2 ) 25 + 25 + 25 = $ 96.75 a | null |
Question: in the manufacture of a certain product , 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
A.0.125 %.
B.0.2 %.
C.0.8 %.
D.1.25 %.
e ) 2.0 %B.
"percent of defective produced = 5 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 5 / 100 ) * 100 % = ( 20 / 10000 ) * 100 % = ( 20 / 100 ) % = . 2 % answer b" | null |
Question: a student appeared in the mock cat . the test paper contained 3 sections namely qa , di and va . the percentage marks in all va was equal to the average of percentage marks in all the 3 sections . coincidentally , if we reverse the digit of the percentage marks of qa we get the percentage marks of di . the percentage marks in va scored by student could be :
A.81.
B.48.
C.66.
D.69.
e ) none of theseC.
solution : let the percentage marks in qa = ( 10 a + b ) % let the percentage marks in di = ( 10 b + a ) % let the percentage marks in va = x % . now , according to the question , we have , [ ( 10 a + b ) + x + ( 10 b + a ) ] / 3 = x → 11 a + 11 b + x = 3 x . or , x = 11 ( a + b ) / 2 . clearly , we can see that the percentage of the va section will be a multiple of 11 . so , required answer will be 66 . answer : option c | null |
Question: a cube of side 5 meter length is cut into small cubes of side 25 cm each . how many such small cubes can be obtained ?
A.10781.
B.1276.
C.1000.
D.8000.
e ) 5000D.
"along one edge , the number of small cubes that can be cut = 500 / 25 = 20 along each edge 20 cubes can be cut . ( along length , breadth and height ) . total number of small cubes that can be cut = 20 * 20 * 20 = 8000 answer : d" | null |
Question: two trains of equal are running on parallel lines in the same direction at 45 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ?
A.45.
B.88.
C.66.
D.55.
e ) 22A.
"let the length of each train be x m . then , distance covered = 2 x m . relative speed = 45 - 36 = 9 km / hr . = 9 * 5 / 18 = 5 / 2 m / sec . 2 x / 36 = 5 / 2 = > x = 45 . answer : a" | null |
Question: what is the value of ( p + q ) / ( p - q ) if p / q is 6 ?
A.4 / 3.
B.2 / 3.
C.2 / 6.
D.7 / 5.
e ) 8 / 7D.
"( p + q ) / ( p - q ) = [ ( p / q ) + 1 ] / [ ( p / q ) - 1 ] = ( 6 + 1 ) / ( 6 - 1 ) = 7 / 5 answer : d" | null |
Question: a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 2 cm when a man gets on it . the mass of man is
A.12 kg.
B.60 kg.
C.72 kg.
D.120 kg.
e ) noneD.
"solution volume of water displaced = ( 3 x 2 x 0.02 ) m 3 = 0.12 m 3 . mass of man = volume of water displaced × density of water = ( 0.12 × 1000 ) kg = 120 kg . answer d" | null |
Question: the ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250 . the sum of the numbers is ?
A.2.
B.3.
C.4.
D.6.
e ) 5E.
"let the numbers be 3 x , 4 x , 5 x then , 9 x ^ 2 + 16 x ^ 2 + 25 x ^ 2 = 1250 50 x ^ 2 = 1250 x ^ 2 = 25 x = 5 answer is e" | null |
Question: in what ratio must a grocer mix two varieties of pulses costing rs . 15 and rs . 20 per kg respectively so as to get a mixture worth rs . 16.50 kg ?
A.7 : 3.
B.3 : 7.
C.4 : 6.
D.5 : 7.
e ) 8 : 9A.
"required rate = 3.50 : 1.50 = 7 : 3 . answer a" | null |
Question: if the personal income tax rate is lowered from 46 % to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ?
A.$ 3500.
B.$ 5040.
C.$ 3150.
D.$ 7000.
e ) $ 10000B.
"saving = ( 46 - 32 ) % of 36000 = 5040 . answer : b" | null |
Question: how many unique positive odd integers less than 100 are equal to the product of a positive multiple of 5 and an odd number ?
A.4.
B.10.
C.11.
D.12.
e ) 15B.
the question basically asks how many positive odd integers less than 100 are odd multiples of 5 so we have 5,15 , 25,35 , 45,55 , 65,75 , 85,95 = 10 ans b | null |
Question: how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 625 meters in length ?
A.62.
B.72.
C.55.
D.82.
e ) 52.7E.
"explanation : t = ( 625 + 165 ) / 54 * 18 / 5 t = 52.7 answer : option e" | null |
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