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Question: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is six times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ?
A.1 : 1.
B.2 : 3.
C.3 : 2.
D.9 : 4.
e ) 54 : 8E.
"water : soap = 3 : 2 soap : salt = 18 : 2 = > for 18 soap , salt = 2 = > for 2 soap , salt = ( 2 / 18 ) * 2 = 2 / 9 so , water : soap : salt = 3 : 2 : 2 / 9 = 54 : 36 : 4 after open container , water : soap : salt = 27 : 36 : 4 so , water : salt = 27 : 4 = 54 : 8 e" | null |
Question: if x 2 + kx - 3 , is divisible by ( x - 1 ) , what is the value of k
A.- 1.
B.1.
C.2.
D.- 1.
e ) 0C.
explanation : if x 2 + kx - 3 is divisible by ( x - 1 ) then x = 1 ( 1 ) 2 + 1 ( k ) - 3 = 0 1 + k - 3 = 0 k = 2 answer : option c | null |
Question: if ( x - 10 ) ( y - 5 ) ( z - 2 ) = 1000 then what is the least value of x + y + z ? if x , y , z are all integer no .
A.7.
B.8.
C.9.
D.10.
e ) 11A.
( x - 10 ) ( y - 5 ) ( z - 2 ) = 1000 put x = 0 y = - 5 z = 12 then ( 0 - 10 ) ( - 5 - 5 ) ( 12 - 2 ) = 1000 ( - 10 ) ( - 10 ) ( 10 ) = 1000 1000 = 1000 answer : a | null |
Question: 0.002 x 0.4 = ?
A.8.0.
B.0.008.
C.0.08.
D.0.8.
e ) 0.0008E.
"2 x 4 = 8 . sum of decimal places = 4 0.002 x 0.4 = 0.0008 answer : option e" | null |
Question: for what value of x , is | x – 2 | + | x + 5 | + | x | = 17 ?
A.0.
B.3.
C.- 3.
D.5.
e ) - 5D.
"for what value of x , is | x – 2 | + | x + 5 | + | x | = 17 ? it ' s easiest just to plug in answer choices : ( d ) : 5 | x – 2 | + | x + 5 | + | x | = 17 ? | 5 - 3 | + | 5 + 5 | + | 5 | = 17 ? | 2 | + | 10 | + | 5 | = 17 ( d )" | null |
Question: a can run 4 times as fast as b and gives b a start of 60 m . how long should the race course be so that a and b might reach in the same time ?
A.70 m.
B.60 m.
C.80 m.
D.65 m.
e ) 75 mC.
"speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 60 m he gains 60 * ( 4 / 3 ) i . e 80 m answer : c" | null |
Question: a train 175 m long , running with a speed of 63 km / hr will pass a tree in ?
A.22 sec.
B.16 sec.
C.17 sec.
D.88 sec.
e ) 10 secE.
"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 175 * 2 / 35 = 10 sec answer : e" | null |
Question: an 80 - liter solution of cool - drink is made from 10 % jasmine water . if 8 liters of jasmine and 12 liters of water were added to the solution , what percent of the solution is jasmine ?
A.12 %.
B.14 %.
C.16 %.
D.18 %.
e ) 20 %C.
"the percent of jasmine in the resulting solution is : ( amount of jasmine ) / ( total volume ) ( 0.1 ( 80 ) + 8 ) / 100 = 16 / 100 = 16 % the answer is c ." | null |
Question: what is the sum of all the multiples of 10 between 0 and 99 ?
A.500.
B.620.
C.450.
D.340.
e ) 440C.
"the multiples of 10 between 0 and 99 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , and 90 . if these are all added together , the result is 450 . final answer : c" | null |
Question: the length of rectangle is thrice its breadth and its perimeter is 120 m , find the area of the rectangle ?
A.432 sq m.
B.356 sq m.
C.452 sq m.
D.428 sq m.
e ) 675 sq mE.
"2 ( 3 x + x ) = 120 l = 45 b = 15 lb = 45 * 15 = 675 answer : e" | null |
Question: an article is bought for rs . 805 and sold for rs . 900 , find the gain percent ?
A.12.8 %.
B.17.8 %.
C.15.8 %.
D.11.8 %.
e ) 14.8 %D.
"805 - - - - 95 100 - - - - ? = > 11.8 % answer : d" | null |
Question: at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 120 . at the same place it would cost $ 164.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ?
A.$ 21.
B.$ 27.
C.$ 31.
D.$ 41.
e ) it can not be determinedC.
"let ' s suppose that the price of a burger is bb , of a shake - ss and that of a cola is cc . we can then construct these equations : 3 b + 7 s + c = 120 4 b + 10 s + c = 164.5 subtracting the first equation from the second gives us b + 3 s = 44.5 now if we subtract the new equation two times from first or 3 times from second we will get b + s + c = 31 . in any case , there is no necessity to know each item ' s price , just the sum . answer : c" | null |
Question: 65 % of x = 20 % of 682.50 . find the value of x ?
A.100.
B.210.
C.150.
D.180.
e ) 199B.
"65 % of x = 20 % of 682.50 then , 65 / 100 * x = 20 / 100 * 6825 / 10 x = 210 answer is b" | null |
Question: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 200 that is both a prime and a palindrome . what is the sum of the digits of p ?
A.3.
B.4.
C.5.
D.6.
e ) 7E.
"given that p is smallest integer greater than 200 - assume there is a 3 - digit that satisfies the above conditions . let the number be xyx ; question asks us the values of 2 x + y we can straight away cross out options a ) and d ) - sum of digits 3 or 6 implies it is divisible by 3 - - - > we know that p is a prime number coming to option b ) 2 x + y = 4 - - > only x = 2 and y = 0 satisfy this equation ( x > 2 will never give sum of digits = 4 ) ; but 202 is divisible by 2 ; we know that p is a prime number similarly option c ) 2 x + y = 5 - - > only x = 2 and y = 1 satisfy this equation ( x > 2 will never give sum of digits = 5 ) ; but 212 is divisible by 2 ; we know that p is a prime number therefore answer option should be e - - - > can be verified by taking 2 x + y = 7 - - - > x = 3 and y = 1 ; gives 313 answer : e" | null |
Question: a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 120 kilometers ?
A.4.5.
B.5.5.
C.6.5.
D.3.
e ) 8.5D.
"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 120 kilometers ? 120 ÷ 40 = 3 × 1 gallon = 3 gallons correct answer d" | null |
Question: a ranch has both horses and ponies . exactly 5 / 7 of the ponies have horseshoes , and exactly 2 / 3 of the ponies with horseshoes are from iceland . if there are 4 more horses than ponies , what is the minimum possible combined number of horses and ponies on the ranch ?
A.34.
B.38.
C.42.
D.46.
e ) 50D.
"5 / 7 * p are ponies with horseshoes , so p is a multiple of 7 . 2 / 3 * 5 / 7 * p = 10 / 21 * p are icelandic ponies with horseshoes , so p is a multiple of 21 . the minimum value of p is 21 . then h = p + 4 = 25 . the minimum number of horses and ponies is 46 . the answer is d ." | null |
Question: a fruit seller had some oranges . he sells 40 % oranges and still has 420 oranges . how many oranges he had originally ?
A.420.
B.700.
C.220.
D.400.
e ) none of theseB.
"explanation : he sells 40 % of oranges and still there are 420 oranges remaining = > 60 % of oranges = 420 ⇒ ( 60 × total oranges ) / 100 = 420 ⇒ total oranges / 100 = 7 ⇒ total oranges = 7 × 100 = 700 answer : option b" | null |
Question: if x ^ 2 + y ^ 2 = 16 and xy = 3 , then ( x − y ) ^ 2 =
A.8.
B.11.
C.10.
D.17.
e ) 20C.
"but you can not take xy + 3 to mean xy = - 3 . . only if xy + 3 = 0 , it will mean xy = - 3 . . rest your solution is perfect and you will get your correct answer as 16 - 2 * 3 = 10 . . answer c" | null |
Question: on the first day of her vacation , louisa traveled 160 miles . on the second day , traveling at the same average speed , she traveled 280 miles . if the 160 - mile trip took 3 hours less than the 280 - mile trip , what was the average speed , in miles per hour ?
A.40.
B.45.
C.46.
D.48.
e ) 50A.
( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 160 / t = 280 / ( t + 3 ) - - > 4 / t = 7 / ( t + 3 ) - - > 4 t + 12 = 7 t - - - - > 3 t = 12 . t = 4 - - - - > ( rate ) = 160 / 4 = 40 answer : a | null |
Question: evaluate : | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?
A.40.
B.50.
C.60.
D.71.
e ) 80D.
"according to order of operations , inner brackets first . hence | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = | 5 - 8 * ( - 9 ) | - | 5 - 11 | according to order of operations , multiplication within absolute value signs ( which may be considered as brackets when it comes to order of operations ) next . hence = | 5 + 72 | - | 5 - 11 | = | 77 | - | - 6 | = 77 - 6 = 71 correct answer d ) 71" | null |
Question: a 10 % stock yielding 8 % is quoted at ?
A.125.
B.170.
C.175.
D.180.
e ) 185A.
"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 10 , money invested = 100 × 10 / 8 = rs . 125 ie , market value of the stock = rs . 125 answer is a ." | null |
Question: what is the sum of natural numbers between 30 and 100
A.4615.
B.4860.
C.5000.
D.5500.
e ) 5550A.
"a = first number l = last number sn = n / 2 [ a + l ] between 30 and 100 numbers = 71 = > 100 - 30 = 70 + 1 = 71 sn = 71 / 2 ã — 130 = 71 ã — 65 = 4615 answer : a" | null |
Question: what is the least value of x . so that 4 x 569 is divisible by 3 ?
A.2.
B.5.
C.1.
D.0.
e ) 7D.
"the sum of the digits of the number is divisible by 3 , then the number is divisible by 3 . 4 + x + 5 + 6 + 9 = 24 + x least value of x may be 0 therefore 24 + 0 = 24 is divisible by 3 . d" | null |
Question: if a trader sold two cars each at rs . 325475 and gains 12 % on the first and loses 12 % on the second , then his profit or loss percent on the whole is ?
A.1.44 %.
B.1.43 %.
C.1.34 %.
D.4.44 %.
e ) 1.74 %A.
sp of each car is rs . 325475 , he gains 12 % on first car and losses 12 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 12 ) ( 12 ) / 100 % = 1.44 % answer : a | null |
Question: i flew my tiny seaplane to visit my mother . on the flight up , i flew at 96 mph . on the way home , i flew 88 mph . what was my average speed for the trip ?
A.198 mph.
B.110 mph.
C.92 mph.
D.100 mph.
e ) 99 mphC.
"( 96 mph + 88 mph ) / 2 = 92 mph correct answer is : c" | null |
Question: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 20 cm ?
A.827 cm 2.
B.380 cm 2.
C.285 cm 2.
D.178 cm 2.
e ) 176 cm 2B.
"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 20 ) = 380 cm 2 answer : b" | null |
Question: if x < y < z and y - x > 11 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ?
A.6.
B.7.
C.8.
D.9.
e ) 15E.
"we have : 1 ) x < y < z 2 ) y - x > 11 3 ) x = 2 k ( x is an even number ) 4 ) y = 2 n + 1 ( y is an odd number ) 5 ) z = 2 p + 1 ( z is an odd number ) 6 ) z - x = ? least value z - x = 2 p + 1 - 2 k = 2 p - 2 k + 1 = 2 ( p - k ) + 1 - that means that z - x must be an odd number . we are asked to find the least value , so we have to pick the least numbers since y is odd and x is even , y - x must be odd . since y - x > 11 , the least value for y - x must be 13 , the least value for x must be 2 , and , thus , the least possible value for y must be 15 ( y - 2 = 13 , y = 15 ) 2 < 15 < z , since z is odd , the least possible value for z is 17 z - x = 17 - 2 = 15 answer e" | null |
Question: find k if 24 / k = 4 .
A.6.
B.7.
C.8.
D.4.
e ) 3A.
"since 24 / k = 4 and 24 / 6 = 4 , then k = 6 correct answer a" | null |
Question: a merchandise feedback online portal accords ‘ ratings ’ to a product by recording the percentage of customers who have reported their views as either ‘ satisfied ’ or ‘ unsatisfied ’ only . the portal rounds off the exact percentage value calculated to the closest integral value . if the percentage of unsatisfied customers as recorded by the portal is 57 % , what is the least possible number of people that could have reported their views as ‘ satisfied ’ ?
A.2.
B.3.
C.12.
D.43.
e ) 57B.
57 % unsatisfied . so ~ 43 % satisfied but 100 % should be an integer only and since the above percentages are approximations 100 % should be as close as possible to an integer . now substitute value [ 1 ] if 43 % is 2 what is 100 % - > 200 / 43 is not giving a number which is closest to an integer . [ 2 ] if 43 % is 3 what is 100 % - > 300 / 43 [ 43 * 7 = 301 ] . . . therefore closest possible to an integer . [ it also satisfies the least possible and hence we need not check for other choices which are greater than 3 ] therefore ans is b . | null |
Question: a bag consists of 30 marbles , of which 5 are blue , 9 are red , and the remainder are white . if lisa is to select a marble from the bag at random , what is the probability that the marble will be red or white ?
A.5 / 6.
B.2 / 4.
C.1 / 4.
D.1 / 8.
e ) 1 / 16A.
"bag consists of 20 marbles , of which 5 are blue , 9 are red remainder are white . so , white = 30 - 5 - 9 = 16 . probability that the marble will be red or white = probability that the marble will be red + probability that the marble will be white probability that the marble will be red or white = 9 / 30 + 16 / 30 = 25 / 30 = 5 / 6 hence , answer will be a ." | null |
Question: the sides of a cube are in the ratio of 1 : 2 the ratio of their volumes is ?
A.1 : 2.
B.1 : 4.
C.1 : 8.
D.2 : 1.
e ) 2 : 4C.
1 : 8 answer : c | null |
Question: what is the least value of x , so that 23 x 57 is divisible by 3
A.2.
B.0.
C.1.
D.3.
e ) 4C.
"explanation : 23257 is not divisible by 3 23057 is not divisible by 3 23157 is divisible by 3 23357 is not divisible by 3 2 + 3 + 1 + 5 + 7 = 18 18 / 3 = 6 . x = 1 answer : option c" | null |
Question: a present value of a machine is $ 1000 . its value depletiation rate is 10 % per annum then find the machine value after 2 years ?
A.$ 900.
B.$ 810.
C.$ 915.
D.$ 715.
e ) $ 795B.
"p = $ 1000 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 1000 * 9 / 10 * 9 / 10 = $ 810 answer is b" | null |
Question: in a certain school , 20 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 48 . what is the total number of students in the school ?
A.72.
B.80.
C.120.
D.100.
e ) 150D.
"let the number of students be x . then , number of students above 8 years of age = ( 100 - 20 ) % of x = 80 % of x . 80 % of x = 48 + 2 / 3 of 48 ( 80 / 100 ) x = 80 x = 100 . answer d" | null |
Question: to produce an annual income of rs . 1200 from a 15 % stock at 90 , the amount of stock needed is :
A.s . 10,000.
B.s . 10,800.
C.s . 14,400.
D.s . 16,000.
e ) s . 46,000A.
"solution for an income of rs . 15 , stock needed = rs . 100 . for an income of rs . 1500 , stock needed = rs . 10 / 12 x 15000 = 10,000 answer a" | null |
Question: a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 756 find the share of a .
A.240.
B.388.
C.288.
D.277.
e ) 122C.
"explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 756 = 288 answer : c" | null |
Question: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 3 ?
A.17 / 36.
B.36 / 17.
C.17 / 6.
D.17 / 2.
e ) 51 / 4D.
"2 2 / 3 - 1 1 / 4 = 8 / 3 - 5 / 4 = ( 32 - 15 ) / 12 = 17 / 12 1 / 3 - 1 / 6 = ( 2 - 1 ) / 6 = 1 / 6 so 17 / 12 / 1 / 6 = 17 / 12 * 6 = 17 / 2 answer - d" | null |
Question: 100 people are attending a newspaper conference . 35 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
A.21.
B.26.
C.28.
D.30.
e ) 32B.
"{ total } = { writers } + { editors } - { both } + { neither } . { total } = 100 ; { writers } = 35 ; { editors } > 38 ; { both } = x ; { neither } = 2 x ; 100 = 35 + { editors } - x + 2 x - - > x = 65 - { editors } . we want to maximize x , thus we should minimize { editors } , minimum possible value of { editors } is 39 , thus x = { both } = 65 - 39 = 26 . answer : b ." | null |
Question: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 78 . how tall is the fourth person ?
A.82.
B.84.
C.86.
D.88.
e ) 90B.
"let x be the height of the first person . then the heights are x , x + 2 , x + 4 , and x + 10 . 4 x + 16 = 4 ( 78 ) = 312 x = 74 and the fourth person has a height of 74 + 10 = 84 inches the answer is b ." | null |
Question: if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20 , what is the probability w that this product will be a multiple of 45 ?
A.1 / 32.
B.1 / 28.
C.1 / 24.
D.1 / 16.
e ) 1 / 14C.
"there are 3 single digit multiple of 3 , that is , 3 , 6,9 . there are 8 prime nos less than 20 - 2,3 , 5,7 , 11,13 , 17,19 total outcome - 8 * 3 = 24 favourable outcome = 1 ( 9 * 5 ) hence required probability w = 1 / 24 . answer c ." | null |
Question: during a pizza buffet where a eats more times 1.8 than b , and b eats 8 times less than c . find the leat number of times all the 3 has to eat
A.350.
B.260.
C.360.
D.380.
e ) 285C.
a eats more than b if b eats 1 times than the ratio of a and b is a : b is 1.8 : 1 or 9 : 5 and as b eat 8 times less the c the the ratio of b : c is 5 : 40 the the least number of times all three has eat is the lcm of a , b , c that is 360 . . answer : c | null |
Question: ashok secured average of 72 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?
A.62.
B.74.
C.78.
D.80.
e ) none of theseA.
explanation : number of subjects = 6 average of marks in 6 subjects = 72 therefore total marks in 6 subjects = 72 * 6 = 432 now , no . of subjects = 5 total marks in 5 subjects = 74 * 5 = 370 therefore marks in 6 th subject = 432 – 370 = 62 answer a | null |
Question: at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 85 . if the restaurant serves 120 customers today , raising the average to 90 customers per day , what is the value of x ?
A.2.
B.5.
C.6.
D.15.
e ) 30C.
"withoutusing the formula , we can see that today the restaurant served 30 customers above the average . the total amount above the average must equal total amount below the average . this additional 30 customers must offset the “ deficit ” below the average of 90 created on the x days the restaurant served only 85 customers per day . 30 / 5 = 6 days . choice ( a ) . withthe formula , we can set up the following : 90 = ( 85 x + 120 ) / ( x + 1 ) 90 x + 90 = 85 x + 120 5 x = 30 x = 6 answer choice ( c )" | null |
Question: two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction . what time will they take to be 20 km apart ?
A.10.
B.11.
C.14.
D.15.
e ) 20A.
"explanation : relative speed = 7.5 - 5.5 = 2 kmph ( because they walk in the same direction ) distance = 20 km time = distance / speed = 20 / 2 = 10 hr answer : a" | null |
Question: a man can row 6 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
A.5.32.
B.5.7.
C.5.76.
D.5.74.
e ) 5.71A.
"m = 6 s = 2 ds = 8 us = 4 x / 8 + x / 4 = 1 x = 2.66 d = 2.66 * 2 = 5.32 answer : a" | null |
Question: if 8 workers can build 8 cars in 8 days , then how many days would it take 6 workers to build 6 cars ?
A.2.
B.4.
C.6.
D.8.
e ) 12D.
"8 workers can build 1 car per day on average . 1 worker can build 1 / 8 of a car per day . 6 workers can build 6 / 8 car per day . the time required to build 6 cars is 6 / ( 6 / 8 ) = 8 days the answer is d ." | null |
Question: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 31 !
A.8.
B.10.
C.12.
D.14.
e ) 16D.
"solution - consider multiples of 25 ! = > 3,6 , 9,12 , 15,18 , 21,24 , 27,30 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 30 = 3 x 10 - > 1 - - - - count 3 ' s = 14 so answer is 14 answer : d" | null |
Question: a person can swim in still water at 12 km / h . if the speed of water 10 km / h , how many hours will the man take to swim back against the current for 8 km ?
A.4.
B.7.
C.5.
D.9.
e ) 6A.
"m = 12 s = 10 us = 12 - 10 = 2 d = 8 t = 8 / 2 = 4 answer : a" | null |
Question: the moon revolves around the earth at a speed of approximately 0.2 kilometers per second . this approximate speed is how many kilometers per hour ?
A.60.
B.720.
C.62.5.
D.3,600.
e ) 3,672B.
"moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 0.2 * 3600 = 720 kilometers per hour . option b is correct" | null |
Question: if 1.5 cm of a pencil is purple , 0.5 cm of the remaining is black and the remaining 2 cm is blue , what is the total length of the pencil ?
A.5 cm.
B.3 cm.
C.1 cm.
D.4 cm.
e ) 2 cmD.
purple is 1.5 cm black is 0.5 cm blue is 2 cm 1.5 + 0.5 + 2 = 4 cm answer is d ) 4 cm | null |
Question: of the 130 employees at company x , 80 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ?
A.20.
B.30.
C.50.
D.80.
e ) 100B.
full time employee who have not worked for at least one year = a full time employee who have worked for at least one year = b non full time employee who have worked for at least one year = c non full time employee who have not worked for at least one year = d a + b + c + d = 150 a + b = 80 i . e . c + d = 70 b + c = 100 i . e . a + d = 50 d = 20 i . e . c = 70 - 20 = 50 i . e . b = 100 - 50 = 50 i . e . a = 80 - 50 = 30 b = 30 answer : option b | null |
Question: what is the rate percent when the simple interest on rs . 810 amount to rs . 155 in 4 years ?
A.4.78.
B.4.68.
C.4.58.
D.4.48.
e ) 4.38A.
"155 = ( 810 * 4 * r ) / 100 r = 4.78 % answer : a" | null |
Question: a pharmaceutical company received $ 4 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?
A.8 %.
B.15 %.
C.45 %.
D.52 %.
e ) 58 %E.
"solution : this is a percent decrease problem . we will use the formula : percent change = ( new – old ) / old x 100 to calculate the final answer . we first set up the ratios of royalties to sales . the first ratio will be for the first 20 million in sales , and the second ratio will be for the next 108 million in sales . because all of the sales are in millions , we do not have to express all the trailing zeros in our ratios . first 20 million royalties / sales = 4 / 20 = 1 / 5 next 108 million royalties / sales = 9 / 108 = 1 / 12 because each ratio is not an easy number to use , we can simplify each one by multiplying each by the lcm of the two denominators , which is 60 . keep in mind that we are able to do this only because our answer choices are expressed in percents . first 20 million royalties / sales = ( 4 / 20 ) x 60 = 12 next 108 million royalties / sales = 9 / 108 = ( 1 / 12 ) x 60 = 5 we can plug 12 and 5 into our percent change formula : ( new – old ) / old x 100 [ ( 5 – 12 ) / 12 ] x 100 - 175 / 3 x 100 at this point we can stop and consider the answer choices . since we know that 175 / 3 is just a bit less than ½ , we know that - 175 / 3 x 100 is about a 58 % decrease . answer e ." | null |
Question: a father said to his son , ` ` i was as old as you are at the present at the time of your birth ' ' . if the father ' s age is 52 years now , the son ' s age 5 years back was :
A.A.14.
B.B.67.
C.C.56.
D.D.21.
e ) e ) 34D.
let the son ' s present age be x years . then , ( 52 - x ) = x 2 x = 52 . x = 26 . son ' s age 5 years back ( 26 - 5 ) = 21 years . answer : d | null |
Question: at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 20 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 20 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?
A.6.
B.7.
C.8.
D.9.
e ) 10E.
"let number of apples = a number of oranges = b a + b = 20 - - - 1 . 56 = ( . 4 a + . 6 b ) / 20 = > 56 = 4 a + 6 b - - - - 2 solving 1 and 2 , we get a = 4 b = 16 let the number of oranges put back = c 52 * ( 20 - c ) = 40 * 4 + 60 ( 16 - c ) = > c = 10 answer e" | null |
Question: there are 20 cm , 21 cm , 22 cm , 23 cm , 24 cm , 25 cm rods of quantities 23 , 64 , 32 respectively . find average of this data .
A.32.25.
B.21.45.
C.45.
D.22.45.
e ) 22D.
average = ( 20 * 2 + 21 * 3 + 22 * 6 + 23 * 4 + 24 * 3 + 25 * 2 ) / 20 = 22.45 answer : d | null |
Question: a can finish a work in 18 days and b can do the same work in half the time taken by a . then , working together what part of the same work they can finish in a day ?
A.1 / 2.
B.1 / 3.
C.1 / 6.
D.2 / 5.
e ) 2 / 9C.
1 days work of a + b = ( 18 + 9 ) / 18 * 9 = 1 / 6 answer is c | null |
Question: if n is a positive integer and n ^ 2 is divisible by 18 , then what is the largest positive integer that must divide n ?
A.3.
B.4.
C.6.
D.8.
e ) 9C.
"18 = 2 * 3 ^ 2 if 18 divides n ^ 2 , then n must be divisible by 2 * 3 = 6 the answer is c ." | null |
Question: an employee ’ s annual salary was increased $ 25000 . if her new annual salary now equals $ 90000 , what was the percent increase ?
A.15 %.
B.162 ⁄ 3 %.
C.20 %.
D.38.46 %.
e ) 24 %D.
new annual salary = $ 90,000 salary increase = $ 25,000 . original salary = $ 90,000 - $ 25,000 . = $ 75,000 % increase = ( $ 25,000 / $ 65,000 ) * 100 = 38.46 % hence d . | null |
Question: in a class of 45 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ?
A.30.
B.10.
C.18.
D.23.
e ) 32D.
"total = english + german - both + neither - - > 45 = english + 22 - 12 + 0 - - > english = 35 - - > only english = english - both = 35 - 12 = 23 . answer : d ." | null |
Question: mr . parkin invested in fund z and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund z paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z . how much did ms . morris invest in fund z ?
A.$ 32000.
B.$ 36000.
C.$ 40000.
D.$ 42000.
e ) $ 45000D.
0.17 b - 0.23 z = 200 | * 100 17 b - 23 z = 20000 z + b = 100000 b = 100000 - z 17 ( 100000 - z ) - 23 z = 20000 1 , 700000 - 17 z - 23 z = 20000 1 , 680000 = 40 z divide by 40 first two digits : 42 . . . so answer is d . | null |
Question: a train 100 meters long completely crosses a 300 meters long bridge in 36 seconds . what is the speed of the train is ?
A.32 kmph.
B.76 kmph.
C.34 kmph.
D.43 kmph.
e ) 40 kmphE.
"s = ( 100 + 300 ) / 36 = 400 / 36 * 18 / 5 = 40 answer : e" | null |
Question: a school has 11 maths 8 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required
A.2.
B.4.
C.6.
D.8.
e ) 9D.
"total subjects = 11 + 8 + 5 = 24 max subjects by 1 teacher = 3 so , min of teachers required = 24 / 3 = 8 answer : d" | null |
Question: trapezoid jklm in the x - y plane has coordinates j = ( – 3 , – 4 ) , k = ( – 3 , 1 ) , l = ( 5 , 7 ) , and m = ( 5 , – 4 ) . what is its perimeter ?
A.34.
B.36.
C.38.
D.40.
e ) ( f ) 42A.
jk = 5 lm = 11 kl = using distance formula 10 jm = using distance formula 8 sum of all is 34 a | null |
Question: | - 2 | ( | - 25 | - | 5 | ) = ? ? source : preparation material mba center
A.40.
B.– 60.
C.60.
D.75.
e ) 100A.
absolute value will turn negatives into their positive ' equivalents ' , and will leave positives unchanged , so | - 2 | = 2 , | - 25 | = 25 , and | 5 | = 5 . getting rid of our absolute values we have : | - 2 | ( | - 25 | - | 5 | ) = ( 2 ) ( 25 - 5 ) = 2 * 20 = 40 | null |
Question: at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 30 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 30 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?
A.10.
B.11.
C.13.
D.14.
e ) 15E.
"let number of apples = a number of oranges = b a + b = 30 - - - 1 . 56 = ( . 4 a + . 6 b ) / 30 = > 56 = 4 a + 6 b - - - - 2 solving 1 and 2 , we get a = 6 b = 24 let the number of oranges put back = c 52 * ( 30 - c ) = 40 * 6 + 60 ( 24 - c ) = > c = 15 answer e" | null |
Question: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling . what is his percentage profit ?
A.10.22 %.
B.20.22 %.
C.21.22 %.
D.60 %.
e ) ca n ' t be calculatedD.
"the owner buys 100 kg but actually gets 112 kg ; the owner sells 100 kg but actually gives 70 kg ; profit : ( 112 - 70 ) / 70 * 100 = ~ 60 % answer : d ." | null |
Question: a train covers a distance of 12 km in 16 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
A.80.
B.90.
C.60.
D.75.
e ) 85D.
"speed = ( 12 / 16 * 60 ) km / hr = ( 45 * 5 / 18 ) m / sec = 12.5 m / sec . length of the train = 12.5 * 6 = 75 m . answer : d" | null |
Question: a statue is being carved by a sculptor . the original piece of marble weighed 180 kg . in the first week 28 percent is cut away . in the second week 18 percent of the remainder is cut away . in the third week the statue is completed when 20 percent of the remainder is cut away . what is the weight of the final statue ?
A.105 kg.
B.85 kg.
C.108 kg.
D.125 kg.
e ) 117 kgB.
"b 85 kg 180 ã — 0.72 ã — 0.82 ã — 0.8 = 85 kg ." | null |
Question: there are 22 kids in a classroom . 12 kids are wearing socks and 8 are wearing shoes . 6 kids are wearing both . how many are bare feet ?
A.10.
B.2.
C.4.
D.5.
e ) 8E.
12 kids wear socks 8 kids wear shoes 6 wear both . 12 â € “ 6 = 6 ( wear only socks ) 8 â € “ 6 = 2 ( wear only shoes ) 6 ( wear both ) hence , 22 - 14 = 8 8 kids are with bare feet . e | null |
Question: a and b together can do a piece of work in 6 days and a alone can do it in 13 days . in how many days can b alone can do it ?
A.12 days.
B.15 days.
C.78 / 7 days.
D.21 days.
e ) 22 / 7 daysC.
"explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 13 work in 1 day b alone can do ( 1 / 6 - 1 / 13 ) = 7 / 78 work in 1 day = > complete work can be done in 78 / 7 days by b answer : option c" | null |
Question: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?
A.1 : 1.
B.1 : 5.
C.2 : 3.
D.1 : 2.
e ) 2 : 5A.
"the cost price of a mango = 1 / 5 dollars . the selling price of a mango from the first stack = 1 / 3 dollars - - > the profit from one mango = 1 / 5 - 1 / 5 = 0 dollars . the selling price of a mango from the second stack = 1 / 5 dollars - - > the loss from one mango = 1 / 5 - 1 / 5 = 0 dollars . no profit as whole 1 : 1 answer : a ." | null |
Question: what is the units digit of 26 ! + 50 ! + 4 ! + 4 ! ?
A.8.
B.6.
C.4.
D.2.
e ) 0A.
"let us first write down the factorials of different numbers : 1 ! = 1 2 ! = 2 3 ! = 6 4 ! = 24 5 ! = 120 6 ! = 720 and so on . if we notice here , all the numbers after 4 ! will end with a 0 . here is why : if we multiply any number by 10 , a 0 is added to that number and a 10 is formed by a 5 and a 2 , 10 = 5 * 2 till 4 ! , we do not have a ` ` 5 ' ' in multiplication . but after that , we will have atleast one ` ` 5 ' ' in the multiplication . coming back to the question , units digit of 26 ! + 50 ! + 4 ! + 4 ! = ? by the logic above , 26 ! and 50 ! will end in a ` ` 0 ' ' 4 ! will end in a 4 hence the units digit = 0 + 0 + 4 + 4 = 8 correct option : a" | null |
Question: the h . c . f of two numbers is 13 and their l . c . m is 2200 . if one of the numbers is 286 , then the other is ?
A.85.
B.90.
C.95.
D.100.
e ) 105D.
"other number = ( 13 * 2200 ) / 286 = 100 . answer : d" | null |
Question: the length of a side of a hexagon is 4 inches . what is the perimeter ?
['A.22', 'B.23', 'C.24', 'D.25', 'e ) 26']C.
hexagon . it means 6 equal sides . p = 6 ( 4 ) = 24 inches answer c | null |
Question: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 23000 , my total savings for the two - year is
A.s . 8000.
B.s . 9000.
C.s . 9900.
D.s . 9990.
e ) s . 10000A.
"sol . income in first year = * x 42000 = rs . 24000 expenses in second year = \ x 21000 = rs . 35000 total savings = total income - total expenses = ( 42000 + 24000 ) - ( 23000 + 35000 ) = 66000 - 58000 = rs . 8000 a" | null |
Question: how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 112 m length ?
A.82.1 sec.
B.12.1 sec.
C.16.1 sec.
D.11.1 sec.
e ) 12.15 secD.
"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 112 = 222 m . required time = 222 / 20 = 11.1 sec . answer : d" | null |
Question: ketchup , mustard and mayo bottles at a hot dog stand are in the ratio of 3 : 3 : 2 . if there are 6 ketchup bottles , the number of mayo bottles at the hot dog stand is :
A.12.
B.6.
C.3.
D.1.
e ) 4E.
explanation : let ketchup = 3 x , mustard = 3 x & mayo = 2 x . now , 3 x = 6 hence x = 2 . number of mayo bottles = 2 x which is 4 . answer : e | null |
Question: the average of first 10 odd numbers is ?
A.22.
B.10.
C.98.
D.66.
e ) 88B.
"sum of 10 odd no . = 100 average = 100 / 10 = 10 answer : b" | null |
Question: at a certain university , 65 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?
A.25.
B.37.5.
C.50.
D.62.5.
e ) 75D.
"total women = 65 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 25 % but question wants to know the percent of men that are tenured 25 % / 40 % = 62.5 % d" | null |
Question: a can do a work in 15 days and b in 20 days . if they work on it together for 5 days , then the fraction of the work that is left is
A.8 / 17.
B.7 / 15.
C.3 / 15.
D.5 / 12.
e ) 1 / 4D.
"person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 5 days they work 35 * 5 = 175 remaining work is 300 - 175 = 125 remaining fraction of work is = 125 / 300 = 5 / 12 answer d" | null |
Question: if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 16,000 is invested at the same interest rate , what is the interest from the investment ?
A.$ 700.
B.$ 750.
C.$ 850.
D.$ 800.
e ) $ 900D.
"- > 250 / 5,000 = 5 % and 16,000 * 5 % = 800 . thus , d is the answer ." | null |
Question: of the 200 stamps in a collection , 90 are foreign and 80 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?
A.50.
B.80.
C.100.
D.130.
e ) 150A.
"20 stamps are both foreign and more than 10 years old . 70 stamps are foreign only . 60 stamps are 10 years old only . the number of remaining stamps is 200 - ( 20 + 70 + 60 ) = 50 the answer is a ." | null |
Question: find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm .
['A.260 cm 2', 'B.2610 cm 2', 'C.2600 cm 2', 'D.2640 cm 2', 'e ) 264 cm 2']D.
volume = pier 2 h = pie x 72 x 60 = 9240 cm 3 curved surface area = 2 pierh = ( 2 x 3.14 x 7 x 60 ) cm 2 = 2640 cm 2 answer : d | null |
Question: a car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?
A.9.
B.16.
C.21.
D.22.
e ) 27A.
"let the speed in highway be h mpg and in city be c mpg . h = c + 6 h miles are covered in 1 gallon 462 miles will be covered in 462 / h . similarly c miles are covered in 1 gallon 336 miles will be covered in 336 / c . both should be same ( as car ' s fuel capacity does not change with speed ) = > 336 / c = 560 / h = > 336 / c = 560 / ( c + 6 ) = > 336 c + 336 * 6 = 560 c = > c = 336 * 6 / 224 = 9 answer a ." | null |
Question: a hall 36 m long and 15 m broad is to be paved with stones , each measuring 2 dm by 5 dm . the number of stones required is :
['A.180', 'B.1800', 'C.5400', 'D.18000', 'e ) 1.8']C.
area of the hall = 3600 * 1500 area of each stone = ( 20 * 50 ) therefore , number of stones = ( 3600 * 1500 / 20 * 50 ) = 5400 answer : c | null |
Question: by selling an article at rs . 900 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
A.s . 600.
B.s . 480.
C.s . 500.
D.s . 540.
e ) s . 550D.
"sp = 900 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 900 * [ 100 / 125 ] = 720 loss = 25 % = 25 % of 720 = rs . 180 sp = cp - loss = 720 - 180 = rs . 540 answer : d" | null |
Question: a train 220 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
A.5.
B.6.
C.7.
D.12.
e ) 9D.
"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 220 * 3 / 55 ] sec = 12 sec answer : option d" | null |
Question: assume that f ( 1 ) = 0 and f ( m + n ) = f ( m ) + f ( n ) + 4 ( 9 mn - 1 ) . for all natural numbers ( integers > 0 ) m and n . what is the value of f ( 17 ) ?
A.4832.
B.4855.
C.4825.
D.4895.
e ) 4862A.
explanation : f ( 1 ) = 0 f ( 2 ) = f ( 1 + 1 ) = f ( 1 ) + f ( 1 ) + 4 ( 9 × 1 × 1 – 1 ) = 0 + 0 + 4 × 8 = 32 f ( 4 ) = f ( 2 + 2 ) = f ( 2 ) + f ( 2 ) + 4 ( 9 × 2 × 2 – 1 ) = 32 + 32 + 4 × 35 = 204 f ( 8 ) = f ( 4 + 4 ) = f ( 4 ) + f ( 4 ) + 4 ( 9 × 4 × 4 – 1 ) = 204 + 204 + 4 × 143 = 980 f ( 16 ) = f ( 8 + 8 ) = f ( 8 ) + f ( 8 ) + 4 ( 9 × 8 × 8 – 1 ) = 980 + 980 + 4 × 575 = 4260 f ( 17 ) = f ( 1 + 16 ) = f ( 16 ) + f ( 1 ) + 4 ( 9 × 16 × 1 – 1 ) = 4260 + 0 + 4 × 143 = 4832 answer : a | null |
Question: allay ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a . m . the service is discontinued when client ' s debt exceeds $ 5 . if today in the morning allay makes a payment of $ 7 , for how many days , including today , will she be connected to the internet without any additional payments , given her initial balance was $ 0 ?
A.15.
B.24.
C.25.
D.26.
e ) 13C.
day 0 - payment of $ 7 is made in the morning ( after 12 am midnight ) day 1 onwards ( after 12 am midnight ) internet service will begin and will run for 7 * 2 = 14 days i . e . at the end of day 15 balance will be zero . now allay can still use the internet till her debt reaches $ 5 which means total of 5 * 2 = 10 days . now the question states for how many days , including today , will she be connected to the internet without any additional paymentsi . e . we will have to include day 0 also in our final answer . therefore total no . of days = 1 + 14 + 10 = 25 = c | null |
Question: the smallest value of n , for which n + 3 is not a prime number , is
A.1.
B.2.
C.6.
D.8.
e ) 3E.
"( 1 + 3 ) = 3 . ( 2 + 3 ) = 5 . ( 3 + 3 ) = 6 . ( 4 + 3 ) = 7 . which is not prime , n = 3 . answer : e" | null |
Question: a man swims downstream 72 km and upstream 45 km taking 6 hours each time ; what is the speed of the current ?
A.2.28.
B.2.24.
C.2.27.
D.2.25.
e ) 2.23D.
"72 - - - 6 ds = 12 ? - - - - 1 45 - - - - 6 us = 7.5 ? - - - - 1 s = ? s = ( 12 - 7.5 ) / 2 = 2.25 answer : d" | null |
Question: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?
A.7.
B.8.
C.15.
D.16.
e ) 23D.
given 2 ^ 16 * 25 ^ s = 5 * 10 ^ 2 = > 2 ^ 16 * 5 ^ ( 2 s ) = 2 ^ m * 5 ^ ( m + 1 ) ans d on comparing the power of 2 = > m = 16 | null |
Question: 90 + 5 * 12 / ( 180 / 3 ) = ?
A.23.
B.78.
C.27.
D.91.
e ) 81D.
"explanation : 90 + 5 * 12 / ( 180 / 3 ) = 90 + 5 * 12 / ( 60 ) = 90 + ( 5 * 12 ) / 60 = 90 + 1 = 91 . answer : d" | null |
Question: if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is
A.289.
B.231.
C.200.
D.288.
e ) 111C.
"explanation : let c . p . be rs . x . then , 5 % of x = 350 - 340 = 10 x / 20 = 10 = > x = 200 answer : c" | null |
Question: a can finish a work in 20 days , b in 15 days and c in 12 days . b and c start the work but are forced to leave after 2 days . the remaining work was done by a in :
A.10.
B.11.
C.12.
D.13.
e ) 14E.
"( b + c ) ’ s one day ’ s work = 1 / 15 + 1 / 12 = 3 / 20 work done by b and c in 2 days = 3 * 2 / 20 = 3 / 10 remaining work = 1 - 3 / 10 = 7 / 10 1 / 20 work is done by a in 1 day . so , 7 / 10 work is done by a in 20 * 7 / 10 = 14 days answer : e" | null |
Question: when positive integer n is divided by positive integer j , the remainder is 8 . if n / j = 150.25 , what is value of j ?
A.16.
B.26.
C.32.
D.132.
e ) 20C.
"when a number is divided by another number , we can represent it as : dividend = quotient * divisor + remainder so , dividend / divisor = quotient + remainder / divisor given that n / j = 150.25 here 150 is the quotient . given that remainder = 8 so , 150.25 = 150 + 8 / j so , j = 32 answer : c" | null |
Question: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 2 x 3 meter sheets of metal that can be cut , how many metal sheets will be required for this order ? ( 1 cubic meter = 1000 liters )
A.92.
B.90.
C.82.
D.78.
e ) 100E.
the question say : a welder received an order to make a 1 million liter cube - shaped tank . ( 1 cubic meter = 1,000 liters ) in other words , the tank is going to have a volume of 1000 cubic meters . that would equal 1 million liters . a cube with a volume of 1000 cubic meters must be ( 10 meters ) x ( 10 meters ) x ( 10 meters ) . the question does n ' t specify whether this tank should have a closed top or an open top . ( the real gmat is good about specifying things like that . ) here , we are going to assume a closed top , only because if the top is open , we do n ' t use enough metal - - - we get an answer smaller than any of the answer choices . a closed - top cube , a full cube , has 6 sides , each of which is ( 10 meters ) x ( 10 meters ) . that ' s a total surface area of 600 sq m . the question tells us : he has only 2 x 3 meter sheets of metal that can be cut . each sheet has an area of 6 sq m . how many of these need to fill up 600 sq m ? 600 / 6 = 100 . he needs 100 sheets . answer = e | null |
Question: if 18 persons can build a wall 140 m long in 42 days , the number of days that 30 persons will take to complete a similar wall 100 m long , is .
A.18.
B.21.
C.24.
D.28.
e ) 30A.
explanation : ( length 140 : 100 ) : ( persons 30 : 18 ) : : 42 : x = > 140 * 30 * x = 100 * 18 * 42 = > or x = 18 answer : a | null |
Question: when x is multiplied by 3 , the result is 10 more than the result of subtracting x from 26 . what is the value of x ?
A.- 4.
B.9.
C.11.
D.13.
e ) 22B.
"the equation that can be formed is : 3 x - 10 = 26 - x or , 4 x = 36 or , x = 9 . b answer ." | null |
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