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Question: find large number from below question the difference of two numbers is 1355 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
A.1235.
B.1345.
C.1678.
D.1767.
e ) 1623E.
"let the smaller number be x . then larger number = ( x + 1355 ) . x + 1355 = 6 x + 15 5 x = 1340 x = 268 large number = 268 + 1355 = 1623 e" | null |
Question: six persons standing in queue with different age group , after two years their average age will be 43 and seventh person joined with them . hence the current average age has become 45 . find the age of the 7 th person .
A.69.
B.70.
C.71.
D.72.
e ) 73A.
"let β x β be the average of 6 persons since there are 6 after 2 years the age will be increased by 2 for each . so 6 * 2 = 12 after two years age will be = x + 12 average age is 43 that is ( x + 12 ) / 6 = 43 = > x = 246 let β y β be the 7 th person age ( x + y ) / 7 = 45 ( 246 + y ) / 7 = 45 y = ( 45 * 7 ) - 246 y = 69 answer a" | null |
Question: solve below question 2 x + 1 = - 13
A.- 8.
B.- 9.
C.9.
D.8.
e ) - 7E.
"2 x + 1 = - 13 x = - 7 e" | null |
Question: car a is 16 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?
A.1.5.
B.2.0.
C.2.5.
D.3.0.
e ) 3.5D.
relative speed of car a is 58 - 50 = 8 miles per hour , to catch up 16 miles and drive 8 miles ahead so to drive 24 miles it ' ll need 24 / 8 = 3 hours . answer : d | null |
Question: if x + y = 290 , x - y = 200 , for integers of x and y , y = ?
A.200.
B.245.
C.50.
D.115.
e ) 150B.
"x + y = 290 x - y = 200 2 x = 90 x = 45 y = 245 answer is b" | null |
Question: for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 5 ] * [ 8 ] equivalent to ?
A.[ 40 ].
B.[ 60 ].
C.[ 80 ].
D.[ 120 ].
e ) [ 150 ]D.
"[ 5 ] * [ 8 ] = 15 * 4 = 60 = ( 1 / 2 ) ( 120 ) = [ 120 ] the answer is d ." | null |
Question: if log 10 2 = 0.3010 , the value of log 10 80 is :
A.1.5252.
B.1.903.
C.3.9252.
D.3.903.
e ) 2.5252B.
"= log 10 8 + log 10 10 = log 10 ( 23 ) + 1 = 3 log 10 2 + 1 = ( 3 x 0.3010 ) + 1 = 1.9030 . answer b" | null |
Question: the bankers discount of a certain sum of money is rs . 18 and the true discount on the same sum for the same time is rs . 15 . the sum due is :
A.89.
B.90.
C.91.
D.92.
e ) 93B.
"sum = ( b . d * t . d ) / ( b . d - t . d ) ( 18 * 15 ) / 18 - 15 ; 90 answer : b" | null |
Question: the mean of 50 observations is 200 . but later he found that there is decrements of 34 from each observations . what is the the updated mean is ?
A.165.
B.166.
C.190.
D.198.
e ) 199B.
"166 answer is b" | null |
Question: the sum of first 45 natural numbers is
A.1035.
B.1280.
C.2070.
D.2140.
e ) noneA.
solution we know that ( 1 + 2 + 3 + . . . . . + 45 ) = n ( n + 1 ) / 2 therefore ( 1 + 2 + 3 + . . . . + 45 ) = ( 45 Γ 46 / 2 ) = 1035 . answer a | null |
Question: what is the dividend . divisor 13 , the quotient is 17 and the remainder is 1
A.222.
B.224.
C.226.
D.228.
e ) 230A.
"a = d * q + r a = 13 * 17 + 1 a = 221 + 1 a = 222" | null |
Question: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is :
A.125 km.
B.130 km.
C.135 km.
D.140 km.
e ) noneB.
"sol . let the total journey be x km . then 3 x / 5 + 7 x / 20 + 6.5 = x β 12 x + 7 x + 20 * 6.5 = 20 x β x = 130 km . answer b" | null |
Question: there are 300 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .
A.650.
B.700.
C.750.
D.800.
e ) none of theseC.
as per question stem 2 / 5 m ( portion of men employees who are managers ) + 200 ( portion of female employees who are managers ) = 2 / 5 t ( portion of total number of employees who are managers ) , thus we get that 2 / 5 m + 300 = 2 / 5 t , or 2 / 5 ( t - m ) = 300 , from here we get that t - m = 750 , that would be total number of female employees and the answer ( c ) | null |
Question: of the seven - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ?
A.24.
B.36.
C.72.
D.152409600.
e ) 216D.
"of the seven - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? a . 24 b . 36 c . 72 d . 144 e . 216 choosing the digit for p - 9 ways ; choosing the digit for q - 8 ways ; choosing the digit for r - 7 ways ; choosing the digit for s - 6 ways ; choosing the digit for t - 5 ways ; choosing the digit for u - 4 ways ; # of permutations of 3 digits in ppqrstu - 7 ! / 2 ! total : 9 * 8 * 7 * 6 * 5 * 4 * 7 ! / 2 ! = 152409600 . answer : d ." | null |
Question: the true discount on a bill of rs . 2260 is rs . 360 . what is the banker ' s discount ?
A.rs . 428.
B.rs . 422.
C.rs . 412.
D.rs . 442.
e ) none of theseA.
"explanation : f = rs . 2260 td = rs . 360 pw = f - td = 2260 - 360 = rs . 1900 true discount is the simple interest on the present value for unexpired time = > simple interest on rs . 1900 for unexpired time = rs . 360 banker ' s discount is the simple interest on the face value of the bill for unexpired time = simple interest on rs . 2260 for unexpired time = 360 / 1900 Γ 2260 = 0.19 Γ 2260 = rs . 428 answer : option a" | null |
Question: in the first 20 overs of a cricket game , the run rate was only 4.8 . what should be the run rate in the remaining 30 overs to reach the target of 302 runs ?
A.5.
B.6.25.
C.6.75.
D.6.87.
e ) 7.25D.
required run rate = 302 - ( 4.8 x 20 ) / 30 = 206 / 30 = 6.87 option d | null |
Question: a trader sells 85 meters of cloth for rs . 8500 at the profit of rs . 15 per metre of cloth . what is the cost price of one metre of cloth ?
A.rs . 80.
B.rs . 85.
C.rs . 90.
D.rs . 95.
e ) none of theseB.
"sp of 1 m of cloth = 8500 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 100 - rs . 15 = rs . 85 . answer : b" | null |
Question: anne bought doughnuts for a class breakfast party . she bought 9 chocolate doughnuts , 7 coconut doughnuts , and 9 jam - filled doughnuts . how many doughnuts did anne buy in all ?
A.25.
B.36.
C.39.
D.21.
e ) 11A.
"add the numbers of doughnuts . 9 + 7 + 9 = 25 . answer is a ." | null |
Question: the length of a rectangle i s two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?
['A.140 sq . units', 'B.149', 'C.148', 'D.17', 'e ) 143']A.
given that the area of the square = 1225 sq . units = > side of square = β 1225 = 35 units the radius of the circle = side of the square = 35 units length of the rectangle = 2 / 5 * 35 = 14 units given that breadth = 10 units area of the rectangle = lb = 14 * 10 = 140 sq . units answer : option a | null |
Question: a cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour . what is the cyclist ' s average rate for the round trip in miles per hour ?
A.8.1.
B.8.9.
C.8.6.
D.8.3.
e ) 9.0B.
distance = d 1 = x miles speed = s 1 = 8 miles per hour time = t 1 = distance / speed = x / 8 2 . going from b to a distance = d 2 = x miles speed = s 2 = 10 miles per hour time = t 2 = distance / speed = x / 10 3 . average speed = total distance / total time total distance = x + x = 2 x total time = x / 10 + x / 8 = x ( 1 / 10 + 1 / 8 ) = = 9 x / 40 speed = 2 x / ( 9 x / 40 ) = 80 / 9 = 8.9 answer : b | null |
Question: sandy is younger than molly by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?
A.21.
B.24.
C.27.
D.36.
e ) 45C.
"s = m - 6 s / m = 7 / 9 9 s = 7 m 9 ( m - 6 ) = 7 m m = 27 the answer is c ." | null |
Question: the average weight of 25 persons sitting in a boat had some value . a new person added to them whose weight was 46 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 25 persons ?
A.55 kg.
B.48 kg.
C.52 kg.
D.none.
e ) 55 kgD.
"answer : option d 25 x + 46 = 26 ( x Γ’ β¬ β 5 ) x = 176" | null |
Question: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy β s age will be 38 years . what is molly ' s age right now ?
A.15.
B.18.
C.21.
D.24.
e ) 27D.
now , sandy is 38 - 6 = 32 molly ' s age is ( 3 / 4 ) * 32 = 24 the answer is d . | null |
Question: a hexagon is formed abcdef which perimeter 36 cm . a polygon is formed by joining the points ae & bd . find the area of the polygon abde ?
['A.34 β 3 cm 2', 'B.35 β 3 cm 2', 'C.36 β 3 cm 2', 'D.37 β 3 cm 2', 'e ) 38 β 3 cm 2']C.
a regular hexagon consist of 6 equilateral triangle . each of side 6 cm . so the area of 1 equilateral triangle is = ΒΌ ( β 3 a 2 ) = 9 β 3 cm 2 the figure formed by joining polygon abde consist of 2 equilateral triangle and 4 half equilateral triangle which employs area of 4 equilateral triangle . so , the area of polygon abde = 4 * ( area of equilateral traingle ) = 4 * 9 β 3 = 36 β 3 cm 2 answer : c | null |
Question: 10 , 1000 , 100000 , 10000000 . . . .
A.100.
000,000.
B.1,000.
000,000.
C.1.
000,000.
000,000.
D.100.
e ) 1.
000,000B.
"each number in this sequence is multiplied by 100 . with multiples of ten , it is easiest to remember that you can just transfer all the zeroes on the end of the end of any number . example : 10 x 100 = 1,000 . add two digits to the end of 10 , 000,000 and you get 1,000 , 000,000 . answer is b" | null |
Question: an investor deposited $ 10,000 to open a new savings account that earned 12 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?
A.$ 10,300.
B.$ 10,303.
C.$ 10,600.
D.$ 10,609.
e ) $ 10,900D.
"the amount in the account after 6 months is 1.03 * 1.03 ( $ 10,000 ) = $ 10,609 . the answer is d ." | null |
Question: in a survey of parents , exactly 5 / 6 of the mothers and 3 / 4 of the fathers held full - time jobs . if 40 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ?
A.10 %.
B.12 %.
C.15 %.
D.18 %.
e ) 22 %E.
"fathers without full - time jobs are 1 / 4 * 3 / 5 = 3 / 20 of all the parents surveyed . mothers without full - time jobs are 1 / 6 * 2 / 5 = 1 / 15 of all the parents surveyed . the percent of parents without full - time jobs is 3 / 20 + 1 / 15 = 13 / 60 which is about 22 % the answer is e ." | null |
Question: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 500 and $ 300 per unit , respectively . what is the fewest number of computer printers that the company can purchase ?
A.2.
B.3.
C.4.
D.6.
e ) 8D.
"the smallest amount that the company can spend is the lcm of 500 and 300 , which is 1500 for each , which is total 3000 . the number of 1 st type of computers which costing $ 500 = 1500 / 500 = 3 . the number of 2 nd type of computers which costing $ 300 = 1500 / 300 = 3 . total = 3 + 3 = 6 answer is d ." | null |
Question: 212 : 436 : : 560 : ?
A.786.
B.682.
C.784.
D.688.
e ) 622C.
"2 + 2 = 4 1 + 2 = 3 2 + 4 = 6 like that , 5 + 2 = 7 6 + 2 = 8 0 + 4 = 4 answer c" | null |
Question: circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 45 more revolutions than gear p ?
A.45.
B.80.
C.90.
D.100.
e ) 120C.
"gear q makes 30 more revolutions each 60 seconds . the time to make 45 = 30 * 1.5 more revolutions is 60 * 1.5 = 90 seconds . the answer is c ." | null |
Question: for the symbol , m β n = n ^ 2 β m for all values of m and n . what is the value of 6 β 3 ?
A.5.
B.3.
C.2.
D.1.
e ) 0B.
6 β 3 = 9 - 6 = 3 answer : b | null |
Question: the sides of a square region , measured to the nearest centimeter , are 4 centimeters long . the least possible value of the actual area of the square region is
A.15.25 sq cm.
B.18.25 sq cm.
C.12.25 sq cm.
D.21.25 sq cm.
e ) 25.25 sq cmC.
"though there might be some technicalities concerning the termnearest ( as 3.5 is equidistant from both 3 and 4 ) the answer still should be : 3.5 ^ 2 = 12.25 . answer : c" | null |
Question: what sum of money will produce rs . 80 as simple interest in 4 years at 3 1 / 2 percent ?
A.263.
B.571.4.
C.367.
D.368.
e ) 339B.
"80 = ( p * 4 * 7 / 2 ) / 100 p = 571.4 answer : b" | null |
Question: two - third of a positive number and 144 / 216 of its reciprocal are equal . the number is :
A.5 / 12.
B.12 / 5.
C.25 / 144.
D.144 / 25.
e ) 1E.
"let the number be x . then , 2 / 3 x = 144 / 216 * 1 / x x 2 = 144 / 216 * 3 / 2 = 144 / 144 x = 1 answer : e" | null |
Question: from a container having pure milk , 20 % is replaced by water and the process is repeated thrice . at the end of the third operation , the milk is ?
A.45 %.
B.49.6 %.
C.51.2 %.
D.55 %.
e ) 60.3 %C.
let the total quantity of original milk = 1000 gm milk after 1 st operation = 80 % of 1000 = 800 gm milk after second operation = 80 % of 800 = 640 gm milk after third operation = 80 % of 640 = 512 gm strength of final mixture = 51.2 % answer is c | null |
Question: after 6 games , team b had an average of 70 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ?
A.85.
B.74.
C.67.
D.33.
e ) 28D.
"( 6 * 70 ) + 47 + x > 500 420 + 47 + x > 500 467 + x > 500 = > x > 33 option d" | null |
Question: if a ' s height is 40 % less than that of b , how much percent b ' s height is more than that of a ?
A.66.66 %.
B.66.68 %.
C.66.766 %.
D.86.66 %.
e ) 66.65 %A.
"excess of b ' s height over a ' s = [ ( 40 / ( 100 - 40 ) ] x 100 % = 66.66 % answer : a ) 66.66 %" | null |
Question: how long will a boy take to run round a square field of side 35 meters , if he runs at the rate of 9 km / hr ?
A.22.
B.38.
C.37.
D.56.
e ) 28D.
answer : d ) 56 sec | null |
Question: a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 40 to incur a loss 20 % ?
A.20.
B.36.
C.40.
D.50.
e ) 48A.
"production cost per article : $ 60 * ( 100 % - 20 % ) / 20 = $ 2.40 required production costs for a loss of 20 % : $ 40 * ( 100 % + 20 % ) = $ 48 number of articles to be sold for $ 48 to incur a 20 % loss : $ 48 / $ 2.40 = 20 thus , solution a is correct ." | null |
Question: if two positive numbers are in the ratio 1 / 7 : 1 / 4 , then by what percent is the second number more than the first ?
A.67 % ..
B.70 % ..
C.75 % ..
D.68 % ..
e ) 80 % .C.
"given ratio = 1 / 7 : 1 / 4 = 4 : 7 let first number be 4 x and the second number be 7 x . the second number is more than first number by 3 x . required percentage = 3 x / 4 x * 100 = 75 % . answer : c" | null |
Question: a certain library assesses fines for overdue books as follows . on the first day that a book is overdue , the total fine is $ 0.09 . for each additional day that the book is overdue , the total fine is either increased by $ 0.30 or doubled , whichever results in the lesser amount . what is the total for a book on the fourth day it is overdue ?
A.$ 0.66.
B.$ 0.70.
C.$ 0.80.
D.$ 0.90.
e ) $ 1.00A.
"1 st day fine - 0.09 2 nd day fine - 0.09 * 2 = 0.18 ( as doubling gives lower value ) 3 rd day fine - 0.18 * 2 = 0.36 ( as doubling gives lower value ) 4 th day fine - 0.36 + 0.3 = 0.66 ( as doubling gives higher value we add 0.3 this time ) answer : a ." | null |
Question: what is the sum of the numbers between 1 and 14 , inclusive ?
A.105.
B.110.
C.125.
D.150.
e ) 160A.
"sol . add up the numbers between 1 and 14 . answer is a , 105" | null |
Question: how many prime numbers are between 25 / 3 and 84 / 6 ?
A.1.
B.2.
C.3.
D.4.
e ) 5B.
"25 / 3 = 8 . xxx 84 / 6 = 14 . xxx so we need to find prime numbers between 8 ( exclusive ) - 13 ( inclusive ) there are 2 prime numbers 1113 hence answer will be ( b ) 2 b" | null |
Question: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 400 and $ 350 per unit , respectively . what is the fewest number of computer printers that the company can purchase ?
A.11.
B.13.
C.15.
D.17.
e ) 19C.
"the smallest amount that the company can spend is the lcm of 400 and 350 , which is 2800 for each , which is total 5600 . the number of 1 st type of computers which costing $ 400 = 2800 / 400 = 7 . the number of 2 nd type of computers which costing $ 350 = 2800 / 350 = 8 . total = 7 + 8 = 15 answer is c ." | null |
Question: if 13 = 13 w / ( 1 - w ) , then ( 6 w ) 2 =
A.1 / 4.
B.1 / 2.
C.1.
D.2.
e ) 6E.
"13 - 13 w = 13 w 26 w = 13 w = 1 / 2 6 w = 3 6 w * 2 = 3 * 2 = 6 answer : e" | null |
Question: a man can row upstream at 25 kmph and downstream at 55 kmph , and then find the speed of the man in still water ?
A.65.
B.40.
C.30.
D.78.
e ) 38B.
"us = 25 ds = 55 m = ( 55 + 25 ) / 2 = 40 answer : b" | null |
Question: in a room filled with 6 people , all 6 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ?
A.3 / 5.
B.3 / 7.
C.4 / 7.
D.5 / 6.
e ) 7 / 12A.
"the 6 people consist of two sets of 3 siblings . the number of ways to choose 2 people is 6 c 2 = 15 . the number of ways to choose 2 from the first group of siblings is 3 c 2 = 3 . the number of ways to choose 2 from the second group of siblings is 3 c 2 = 3 . the number of ways to choose 2 people who are siblings is 3 + 3 = 6 . the number of ways to choose 2 people who are not siblings is 15 - 6 = 9 . p ( the two people are not siblings ) = 9 / 15 = 3 / 5 the answer is a ." | null |
Question: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 60 ?
A.s . 3944.
B.s . 3948.
C.s . 4080.
D.s . 3965.
e ) s . 3929C.
"let the side of the square plot be a ft . a 2 = 289 = > a = 17 length of the fence = perimeter of the plot = 4 a = 68 ft . cost of building the fence = 68 * 60 = rs . 4080 . answer : c" | 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 32 hours and 16 hours respectively . the ratio of their speeds is
A.4 : 9.
B.4 : 3.
C.4 : 12.
D.1 : 2.
e ) 4 : 5D.
let us name the trains as a and b . then , ( a ' s speed ) : ( b ' s speed ) = b : a = 16 : 32 = 1 : 2 . answer : d | null |
Question: an electrical appliances store sold this month 400 % more than the average of all the other months in the year . the sales total for this month was approximately what percent of total sales for this year ?
A.14 %.
B.21 % ..
C.31 % ..
D.37 % ..
e ) 43 % .B.
the average sales for all the other months ( 11 months ) of the year is x . so , the total sales of those 11 months will be = 11 x now , this month ' s sales , which is 400 % more than the average of other months ' sales , is 5 x , ( x + 400 % of x ) . thus , this month ' s ' sales are ( 5 x / 16 x ) * 100 = 31.25 % of the total yearly sales . [ total sales = 11 x + 5 x = 16 x ] answer is b | null |
Question: a bag contains 10 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is
A.8 / 15.
B.21 / 44.
C.3 / 5.
D.11 / 15.
e ) 7 / 15B.
drawing two balls of same color from ten green balls can be done in 10 c β ways . similarly from eight white balls two can be drawn in βΈ c β ways . p = 10 c β / ΒΉ β΅ c β + βΈ c β / ΒΉ β΅ c β = 21 / 44 answer : b | null |
Question: two bike riders ride in opposite directions around a circular track , starting at the same time from the same point . biker a rides at a speed of 16 kmph and biker b rides at a speed of 14 kmph . if the track has a diameter of 40 km , after how much time ( in hours ) will the two bikers meet ?
A.8.18 hrs ..
B.6.18 hrs ..
C.4.18 hrs ..
D.1.18 hrs ..
e ) 7.18 hrs .C.
explanation : distance to be covered = = 40 km relative speed of bikers = 16 + 14 = 30 kmph . now , = = 4.18 hrs . answer : c | null |
Question: a cistern 12 m long and 14 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :
A.224 m 2.
B.250 m 2.
C.220 m 2.
D.230 m 2.
e ) 233 m 2E.
"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 14 x 1.25 + 12 x 1.25 ) + 12 x 14 ] m 2 = 233 m 2 . answer : e" | null |
Question: if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 10 , then what is the value of abc / def ?
A.27 / 4.
B.27 / 8.
C.3 / 4.
D.3 / 20.
e ) 1 / 4D.
say a = 2 . then : a / b = 1 / 3 - - > b = 6 ; b / c = 2 - - > c = 3 ; c / d = 1 / 2 - - > d = 6 ; d / e = 3 - - > e = 2 ; e / f = 1 / 10 - - > f = 20 . abc / def = ( 2 * 6 * 3 ) / ( 6 * 2 * 20 ) = 3 / 20 . answer : d . | null |
Question: john and david can finish a job together in 2 hours . if john can do the job by himself in 3 hours , what percent of the job does david do ?
A.36.33 %.
B.33.33 %.
C.39.33 %.
D.40.33 %.
e ) 33 %B.
"you can also plug in numbers . for example , bob and alice work at a donut factory and make 18 donuts which is the job ( i picked this as a smart number ) . john on his own works 18 / 3 = 6 donuts per hour . john and david work 18 / 2 = 9 donuts per hour so david works 3 donuts / hour to find out the percentage , david works 3 donuts / hr x 2 hours = 6 donuts per hour . therefore 6 donuts / 18 donuts = 1 / 3 = 33.33 % answer : b" | null |
Question: find the compound interest on $ 10000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?
A.$ 645.56.
B.$ 824.32.
C.$ 954.26.
D.$ 745.69.
e ) $ 1020.45B.
"principle = $ 10000 rate = 2 % half yearly = 4 half years amount = 10000 * ( 1 + 2 / 100 ) ^ 4 = 10000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 10824.32 c . i . = 10824.32 - 10000 = $ 824.32 answer is b" | null |
Question: if a = 105 and a ^ 3 = 21 Γ 25 Γ 45 Γ z , what is the value of z ?
A.35.
B.42.
C.45.
D.49.
e ) 54D.
"a = 105 = 3 * 5 * 7 a ^ 3 = 21 Γ 25 Γ 45 Γ z = > a ^ 3 = ( 7 * 3 ) x ( 5 * 5 ) x ( 3 ^ 2 * 5 ) x z = > a ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x z = > ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x z z = 7 ^ 2 = 49 answer d" | null |
Question: if the cost price of 50 articles is equal to the selling price of 45 articles , then the gain or loss percent is ?
A.11.11.
B.65.
C.78.
D.33.
e ) 25A.
"given that , cost price of 50 article is equal to selling price of 45 articles . let cost price of one article = rs . 1 selling price of 45 articles = rs . 50 but cost price of 45 articles = rs . 45 therefore , the trader made profit . \ percentage of profit = 5 / 45 * 100 = 11.11 % answer : a" | null |
Question: the area of one square is x ^ 2 + 6 x + 9 and the area of another square is 4 x ^ 2 β 28 x + 49 . if the sum of the perimeters of both squares is 56 , what is the value of x ?
A.3.
B.4.
C.5.
D.6.
e ) 7D.
"the areas are ( x + 3 ) ^ 2 and ( 2 x - 7 ) ^ 2 . the lengths of the sides are x + 3 and 2 x - 7 . if we add the two perimeters : 4 ( x + 3 ) + 4 ( 2 x - 7 ) = 56 12 x = 72 x = 6 the answer is d ." | null |
Question: a train moves with a speed of 162 kmph . its speed in metres per second is
A.10.8.
B.18.
C.30.
D.38.8.
e ) 45E.
"solution speed = 108 kmph = ( 162 x 5 / 18 ) m / sec = 45 m / sec . answer e" | null |
Question: which number should replace both the asterisks in ( * / 20 ) x ( * / 80 ) = 1 ?
A.20.
B.40.
C.60.
D.80.
e ) 120B.
"let ( y / 20 ) x ( y / 80 ) = 1 y ^ 2 = 20 x 80 = 20 x 20 x 4 y = ( 20 x 2 ) = 40 the answer is b ." | null |
Question: two trains of equal length , running with the speeds of 60 and 90 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?
A.3.2.
B.2.6.
C.6.6.
D.32.2.
e ) 42.2C.
"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 50 d = 50 * 100 / 18 = 2500 / 9 rs = 60 + 90 = 150 * 5 / 18 t = 2500 / 9 * 18 / 750 = 6.6 sec . answer : c" | null |
Question: a couple spent $ 211.20 in total while dining out and paid this amount using a credit card . the $ 211.20 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ?
A.$ 120.
B.$ 140.
C.$ 150.
D.$ 160.
e ) $ 180D.
"let the price of the meal be x . after a 10 % sales tax addition , the price is 1.1 * x after a 20 % tip on this amount , the total is 1.2 * 1.1 * x = 1.32 x 1.32 x = $ 211.20 x = $ 160 the correct answer is d ." | null |
Question: at a school , 3 - fifths of the male students and two - thirds of the female students speak a foreign language . if the number of males is equal to the number of females , what fraction of the students speak a foreign language ?
A.17 / 30.
B.19 / 30.
C.11 / 15.
D.7 / 15.
e ) 2 / 5B.
let x be the number of students in the school . the number of males who speak a foreign language is ( 3 / 5 ) ( 1 / 2 ) x = ( 3 / 10 ) x the number of females who speak a foreign language is ( 2 / 3 ) ( 1 / 2 ) x = ( 1 / 3 ) x the total number of students who speak a foreign language is ( 3 / 10 ) x + ( 1 / 3 ) x = ( 19 / 30 ) x the answer is b . | null |
Question: 11 + 12 + 13 + . . . 51 + 52 = ?
A.1361.
B.1362.
C.1323.
D.1364.
e ) 1365C.
"sum = 11 + 12 + 13 + . . . 50 + 51 + 52 sum of n consecutive positive integers starting from 1 is given as n ( n + 1 ) / 2 sum of first 52 positive integers = 52 * 53 / 2 sum of first 10 positive integers = 10 * 11 / 2 sum = 11 + 12 + 13 + 14 + . . . 51 + 52 = 52 * 53 / 2 - 10 * 11 / 2 = 1323 answer : c" | null |
Question: it is currently 7 : 05 pm . what time was it in the morning exactly 51,132 minutes ago ?
A.6 : 53.
B.6 : 55.
C.6 : 59.
D.7 : 03.
e ) 7 : 09A.
convert 51,132 minutes to hours by dividing by 60 : 51,132 / 60 = 852 r 12 . that is 852 hours , 12 minutes . convert 852 hours to days by dividing by 24 : 852 / 24 = 35 r 12 . that is 35 days , 12 hours . thus 852 hours before 7 : 05 pm is 12 hours before 7 : 05 pm which is 7 : 05 am . 12 minutes before that is 6 : 53 am . a | null |
Question: the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 60 kmph , find the speed of the stream ?
A.18 kmph.
B.19 kmph.
C.21 kmph.
D.22 kmph.
e ) 20 kmphE.
"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 60 / 3 = 20 kmph . answer : e" | null |
Question: a contractor undertook to do a piece of work in 18 days . he employed certain number of laboures but 9 of them were absent from the very first day and the rest could finish the work in only 6 days . find the number of men originally employed ?
A.3.5.
B.4.
C.4.5.
D.4.2.
e ) 4.3C.
"let the number of men originally employed be x . 18 x = 6 ( x Γ’ β¬ β 9 ) or x = 4.5 answer c" | null |
Question: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 432 sq meters , then what is the width ( in meters ) of the rectangular plot ?
['A.10', 'B.11', 'C.12', 'D.13', 'e ) 14']C.
area = l * w = 3 w ^ 2 = 432 w ^ 2 = 144 w = 12 the answer is c . | null |
Question: a certain car uses 12 gallons of gasoline in traveling 120 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car β s gas mileage be increased ?
A.2.
B.4.
C.6.
D.8.
e ) 10A.
120 / 10 = 12 . the difference is 12 - 10 = 2 . answer a | null |
Question: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . find out the average age of the team .
A.20.
B.21.
C.22.
D.23.
e ) 25D.
"number of members in the team = 11 let the average age of of the team = x = > ( sum of ages of all 11 members ) / 11 = x = > sum of the ages of all 11 members = 11 x age of the captain = 26 age of the wicket keeper = 26 + 3 = 29 sum of the ages of 9 members of the team excluding captain and wicket keeper = 11 x β 26 β 29 = 11 x β 55 average age of 9 members of the team excluding captain and wicket keeper = ( 11 x β 55 ) / 9 given that ( 11 x β 55 ) / 9 = ( x β 1 ) β 11 x β 55 = 9 ( x β 1 ) β 11 x β 55 = 9 x β 9 β 2 x = 46 β x = 46 / 2 = 23 years answer is d ." | null |
Question: a box contains 7 pairs of shoes ( 14 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ?
A.1 / 190.
B.1 / 20.
C.1 / 19.
D.1 / 13.
e ) 1 / 9D.
"the problem with your solution is that we do n ' t choose 1 shoe from 14 , but rather choose the needed one after we just took one and need the second to be the pair of it . so , the probability would simply be : 1 / 1 * 1 / 13 ( as after taking one at random there are 13 shoes left and only one is the pair of the first one ) = 1 / 13 answer : d ." | null |
Question: a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back , how far is the place ?
A.2.4 km.
B.4.8 km.
C.3.4 km.
D.4.4 km.
e ) 5.6 kmB.
"explanation : speed in still water = 5 kmph speed of the current = 1 kmph speed downstream = ( 5 + 1 ) = 6 kmph speed upstream = ( 5 - 1 ) = 4 kmph let the required distance be x km total time taken = 2 hour Γ’ β‘ β x / 6 + x / 4 = 2 Γ’ β‘ β 2 x + 3 x = 24 Γ’ β‘ β 5 x = 24 Γ’ β‘ β x = 4.8 km answer : option b" | null |
Question: when positive integer x is divided by positive integer y , the remainder is 3 . if x / y = 96.12 , what is the value of y ?
A.96.
B.75.
C.48.
D.25.
e ) 12D.
"when positive integer x is divided by positive integer y , the remainder is 3 - - > x = qy + 3 ; x / y = 96.12 - - > x = 96 y + 0.12 y ( so q above equals to 96 ) ; 0.12 y = 3 - - > y = 25 . answer : d ." | null |
Question: twelve machines , each working at the same constant rate , together can complete a certain job in 6 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 3 days ?
A.14.
B.12.
C.15.
D.16.
e ) 18B.
"rate of one machine = 1 job / ( 12 * 6 ) days let x = number of machines needed to complete the job in 3 days 1 / ( 12 * 6 ) * 3 * x = 1 job x = 24 24 - 12 = 12 answer : b" | null |
Question: if 2 + 3 = 13 ; 3 + 5 = 31 ; 5 + 7 = 59 , then 7 + 9 = ?
A.95.
B.86.
C.67.
D.98.
e ) 89A.
"2 x 2 + 3 ^ 2 = 4 + 9 = 13 3 x 2 + 5 ^ 2 = 6 + 25 = 31 5 x 2 + 7 ^ 2 = 10 + 49 = 59 and 7 x 2 + 9 ^ 2 = 14 + 81 = 95 answer : a" | null |
Question: if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 1 other contributions made before john ' s , what is the size of his donation ?
A.$ 100.
B.$ 150.
C.$ 200.
D.$ 250.
e ) $ 450A.
"cavg = average contribution before john cavg * 1.5 = 75 , therefore the average cont is $ 50 before john . if he needs to increase the average contribution by $ 25 , he must put in $ 25 for each of the 1 people . so $ 25 . but , he also has to put in the average for himself ( the twoth person ) , so add $ 75 . so $ 100 is your answer . answer a" | null |
Question: 15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days . how many days will 10 men and 10 boys together take to complete the same work
A.9 days.
B.10 days.
C.11 days.
D.12 days.
e ) 13 daysB.
solution : work done by one man in one day = 1 / ( 15 * 10 ) work done by one boy in one day = 1 / ( 20 * 15 ) work done by 10 men and 10 boys in one day = 10 [ 1 / ( 15 * 10 ) + 1 / ( 20 * 15 ) ] days taken = 1 / work done by 10 men and 10 boys in one day answer b | null |
Question: a rectangular tiled patio is composed of 96 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 96 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?
A.5.
B.6.
C.8.
D.13.
e ) 28C.
"suppose there are c columns and there are r rows original situation so , number of tiles = c * r = 96 also . reach column has r tiles and each row has c tiles new situation number of tiles in each column is r - 2 and number of tiles in each row is c + 4 so , number of rows = r - 2 and number of columns is c + 4 so , number of tiles = ( r - 2 ) * ( c + 4 ) = 96 comparing both of them we get c * r = ( r - 2 ) * ( c + 4 ) = > 4 r - 2 c = 8 c = 2 r - 4 putting it in c * r = 96 ( 2 r - 4 ) * r = 96 2 r ^ 2 - 4 r - 96 = 0 r can not be negative so r = 8 and c = 12 so , answer will be c" | null |
Question: what is 78 % of 4 / 5 ?
A.6.9.
B.69.0.
C.0.6845.
D.0.624.
e ) 0.69D.
"78 % * ( 4 / 5 ) = 0.78 * 0.8 = 0.624 answer : d" | null |
Question: find the area of a parallelogram with base 12 cm and height 48 cm ?
A.122 cm 2.
B.576 cm 2.
C.246 cm 2.
D.42 cm 2.
e ) 39 cm 2B.
"area of a parallelogram = base * height = 12 * 48 = 576 cm 2 answer : b" | null |
Question: of the diplomats attending a summit conference , 25 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ?
A.72.
B.70.
C.108.
D.120.
e ) 150B.
"{ total } = { french } + { russian } - { both } + { neither } { total } = 25 + ( { total } - 32 ) - ( 0.1 * { total } ) + 0.2 * { total } solving gives { total } = 70 . answer : b ." | null |
Question: a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price q per t - shirt that the vendor paid for these purchases ?
A.$ 12.20.
B.$ 12.50.
C.$ 12.55.
D.$ 12.70.
e ) $ 13.00A.
"correct answer : a explanation : the relevant formula for this problem is average q = ( sum ) / ( number of terms ) . another way to look at the formula is sum = average x number of terms . for the first purchase , the vendor ' s sum ( total cost ) was $ 140 , since 14 x 10 = 140 . for the second purchase , the vendor ' s cost was $ 165 , since 11 x 15 = 165 . the grand sum is then $ 140 + $ 165 , which equals $ 305 . the total number of shirts purchased was 25 , so to get the average price per shirt , we divide 305 by 25 , which equals $ 12.20 . as a result , the correct answer is a . note : a relative understanding of weighted average offers a shortcut to this problem . because the true average of 11 and 14 is 12.5 , but the vendor sells more shirts at the lower price than at the higher price , the weighted average must be less than $ 12.50 ; only answer choice a is a possibility ." | null |
Question: excluding the stoppages , the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 12 km / hr . for how many minutes does the bus stop per hour ?
A.45 min.
B.10 min.
C.12 min.
D.20 min.
e ) 18 minA.
"speed of the bus without stoppage = 48 km / hr speed of the bus with stoppage = 12 km / hr difference in speed = 36 km / hr so , the time taken in the stoppages = time taken to cover 36 km = ( 36 / 48 ) hr = 3 / 4 hr = 45 min answer : a" | null |
Question: a furniture dealer purchased a desk for $ 120 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
A.$ 40.
B.$ 60.
C.$ 80.
D.$ 90.
e ) $ 100A.
"purchase price = 120 selling price = x 120 + 0.4 * x = x 0.6 * x = 120 x = 200 profit = 200 - 150 = 50 answer : a" | null |
Question: there are 15 boys and 10 girls in a class . if three students are selected at random , in how many ways that 1 girl or 2 boys are selected ?
A.100.
B.105.
C.115.
D.120.
e ) 125C.
"n ( s ) = sample space = 25 c 3 = 2300 e = event that 1 girl and 2 boys are selected n ( e ) = we have to select 2 boys from 15 or 1 girl from 10 = 15 c 2 + 10 c 1 = 115 ans - c" | null |
Question: the area of the square formed on the diagonal of a rectangle as its side is 108 1 / 3 % more than the area of the rectangle . if the perimeter of the rectangle is 28 units , find the difference between the sides of the rectangle ?
['A.5', 'B.4', 'C.7', 'D.2', 'e ) 1']D.
let the sides of the rectangle be l and b respectively . from the given data , ( β l 2 + b 2 ) = ( 1 + 108 1 / 3 % ) lb = > l 2 + b 2 = ( 1 + 325 / 3 * 1 / 100 ) lb = ( 1 + 13 / 12 ) lb = 25 / 12 lb = > ( l 2 + b 2 ) / lb = 25 / 12 12 ( l 2 + b 2 ) = 25 lb adding 24 lb on both sides 12 l 2 + 12 b 2 + 24 lb = 49 lb 12 ( l 2 + b 2 + 2 lb ) = 49 lb but 2 ( l + b ) = 28 = > l + b = 14 12 ( l + b ) 2 = 49 lb = > 12 ( 14 ) 2 = 49 lb = > lb = 48 since l + b = 14 , l = 8 and b = 6 l - b = 8 - 6 = 2 m . answer : d | null |
Question: for what value of x between β 9 and 9 , inclusive , is the value of x ^ 2 β 10 x + 16 the greatest ?
A.β 9.
B.β 2.
C.0.
D.2.
e ) 9A.
"we can see from the statement that two terms containing x , x ^ 2 will always be positive and - 10 x will be positive if x is - ive . . so the equation will have greatest value if x is - ive , and lower the value of x , greater is the equation . so - 9 will give the greatest value . . ans a" | null |
Question: the owner of a furniture shop charges his customer 10 % more than the cost price . if a customer paid rs . 8800 for a computer table , then what was the cost price of the computer table ?
A.rs . 6725.
B.rs . 6727.
C.rs . 8000.
D.rs . 6725.
e ) rs . 6728C.
"cp = sp * ( 100 / ( 100 + profit % ) ) = 8800 ( 100 / 110 ) = rs . 8000 . answer : c" | null |
Question: if sharon ' s weekly salary increased by 16 percent , she would earn $ 348 per week . if instead , her weekly salary were to increase by 15 percent , how much would she earn per week ?
A.$ 374.
B.$ 382.
C.$ 345.
D.$ 392.
e ) $ 399C.
"( 348 / 116 ) 115 = 345 in this case long division does not take much time . ( 348 / 116 ) = 3 3 * 115 = 345 ( 300 + 45 ) answer c" | null |
Question: the average monthly salary of 8 workers and one supervisor in a factory was 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . whenthesupervisor , whosesalarywas 430 . when the supervisor , whose salary was 870 per month , retired , a new person was appointed and then the average salary of 9 people was $ $ 440 per month . the salary of the new supervisor is :
A.233.
B.960.
C.287.
D.771.
e ) 191B.
explanation : total salary of 8 workers and supervisor together = 9 Γ£ β 430 = 3870 now total salary of 8 workers = 3870 Γ’ Λ β 870 = 3000 total salary of 9 workers including the new supervisor = 9 Γ£ β 440 = 3960 salary of the new supervisor = 3960 Γ’ Λ β 3000 = 960 answer : b | null |
Question: if ( m - 8 ) is a factor of m ^ 2 - hm - 24 , then h =
A.3.
B.5.
C.6.
D.11.
e ) 16B.
( m - 8 ) ( m - a ) = m ^ 2 - hm - 24 a = - 3 h = 8 + a = 5 = b | null |
Question: if the average of 5 x and 8 y is greater than 90 , and x is twice y , what is the least integer value of x ?
A.4.
B.5.
C.20.
D.21.
e ) 23A.
"if y is greater than 110 percent of x , is y greater than 75 ? ( 1 ) x > 75 x > 75 ( 2 ) y β x = 10 y β x = 10 pls verify . 1 ) sufficient . y > 1.1 x and x > 75 . min ( x ) = 75 y > 1.1 * 75 y > 82.5 2 ) insufficient . substituting ( x = y - 10 ) in y > 1.1 x y > 1.1 ( y - 10 ) y < 110 hence a ." | null |
Question: how many three - element subsets of { 1,2 , 3,4 } are there that do not contain the pair of elements 2 and 4 ?
A.1.
B.2.
C.3.
D.4.
e ) 5B.
"required subsets are = { 1 , 2,3 } , { 1 , 3,4 } = 2 answer : b" | null |
Question: the length of the bridge , which a train 500 metres long and travelling at 42 km / hr can cross in 60 seconds , is ?
A.100 m.
B.200 m.
C.300 m.
D.250 m.
e ) 350 mB.
"speed = [ 42 x 5 / 18 ] m / sec = [ 35 / 3 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 130 + x ) / 60 35 / 3 = ( 130 + x ) / 60 500 + x = 700 = > x = 200 m answer : b" | null |
Question: a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 20 % of the original number . what percent of the red candies remain ?
A.5 %.
B.7.5 %.
C.10 %.
D.12.5 %.
e ) 15 %D.
"let x be the original number of each color . kaz eats all of the green candies and half of the orange ones . there are 0 green candies and 0.5 x orange candies remaining . he eats half of the remaining pieces of each color . there are 0.25 x orange candies , and 0.5 x each of red , yellow , and blue candies . he eats red and yellow candies in equal proportions . orange + blue + red + yellow = 0.75 x + red + yellow = x red + yellow = 0.25 x red = 0.125 x , since red = yellow . the answer is d ." | null |
Question: there is 60 % increase in an amount in 6 years at si . what will be the ci of rs . 12,000 after 3 years at the same rate ?
A.2372.
B.2572.
C.4542.
D.2343.
e ) 3972E.
"let p = rs . 100 . then , s . i . rs . 60 and t = 6 years . r = 100 x 60 = 10 % p . a . 100 x 6 now , p = rs . 12000 . t = 3 years and r = 10 % p . a . c . i . = rs . 12000 x 1 + 10 3 - 1 100 = rs . 12000 x 331 1000 = 3972 . e" | null |
Question: a man bought 40 shares of rs . 80 at 5 discount , the rate of dividend being 12 1 / 2 % the rate of interest obtained is
A.13.33 %.
B.15.5 %.
C.14 %.
D.14.25 %.
e ) 14.95 %A.
"explanation : face value of a share = rs . 80 he bought each share at rs . 80 - rs . 5 = rs . 75 number of shares = 40 dividend = 12 1 / 2 % = 25 / 2 % dividend per share = 80 Γ 25 / 2 / 100 = rs . 10 total dividend = ( 40 Γ 10 ) ie , he got a dividend of ( 40 Γ 10 ) for an investment of rs . ( 40 Γ 75 ) interest obtained = 40 Γ 10 Γ 100 / 40 Γ 75 = 13.33 % answer : option a" | null |
Question: the average of 2 , 76 and x is 5 . find the value of x ?
A.10.
B.8.
C.12.
D.15.
e ) 5E.
average = ( 2 + 7 + 6 + x ) / 4 = 5 x = 5 answer is e | null |
Question: a car averages 65 mph for the first 5 hours of a trip and averages 75 mph for each additional hour . the average speed for the entire trip was 60 mph . how many hours long is the trip ?
A.9.
B.8.
C.7.
D.6.
e ) 5A.
"let the time for which car averages 75 mph = t 60 * ( t + 5 ) = 65 * 4 + 70 t = > 10 t = 40 = > t = 4 total duration of the trip = 5 + 4 = 9 answer a" | null |
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