text
stringlengths 45
2.98k
| __index_level_0__
float64 0
11.7k
β |
|---|---|
Question: one side of a rectangular field is 14 m and one of its diagonal is 17 m . find the area of the field .
A.134.4.
B.120.
C.150.
D.180.
e ) noneA.
"solution other side = β ( 17 ) 2 - ( 14 ) 2 = β 289 - 196 = β 93 = 9.6 m . β΄ area = ( 14 x 9.6 ) m 2 = 134.4 m 2 . answer a" | null |
Question: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 24 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?
A.10.
B.15.
C.20.
D.25.
e ) 30D.
"in 5 minutes , the cyclist travels a distance of ( 5 / 60 ) * 24 = 2 km . the time it takes the hiker to complete this distance is 2 / 4 hours = 30 minutes the cyclist needs to wait 30 - 5 = 25 minutes the answer is d ." | null |
Question: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.1 kg . the weight of the new student is
A.22 kg.
B.1 kg.
C.22.4 kg.
D.21 kg.
e ) none of theseB.
"exp . the total weight of 29 students = 29 * 28 the total weight of 30 students = 30 * 27.1 weight of the new student = ( 30 * 27.1 β 29 * 28 ) = 813 - 812 = 1 answer : b" | null |
Question: what will be in unit ' s place digit of 3 to the power 34 .
A.1.
B.6.
C.3.
D.0.
e ) 9E.
as the unit place digit of 3 to the power of 1 is 3 , to the power of 2 is 9 . to the power of 3 is 7 , to the power of 4 is 1 and it ' ll be repeated again in the same order . . . . so the unit place digit of 3 to the power of 34 is 9 . . answer : e | null |
Question: a group of 8 friends want to play doubles tennis . how many different ways can the group be divided into 4 teams of 2 people ?
A.420.
B.2520.
C.168.
D.90.
e ) 105E.
c 28 β c 26 β c 24 β c 22 / 4 ! = 105 , we are dividing by 4 ! ( factorial of the # of teams ) as the order of the teams does not matter . if 8 people are - 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , then ( 12 ) ( 34 ) ( 56 ) ( 78 ) would be the same 4 teams as ( 56 ) ( 78 ) ( 12 ) ( 34 ) , as we do n ' t have team # 1 , team # 2 , . . . you can think about this in another way . for the first person we can pick a pair in 7 ways ; for the second one in 5 ways ( as two are already chosen ) ; for the third one in 3 ways ( as 4 people are already chosen ) ; for the fourth one there is only one left . so we have 7 * 5 * 3 * 1 = 105 answer : e | null |
Question: a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 10 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?
A.$ 198.
B.$ 216.
C.$ 220.
D.$ 230.
e ) $ 240B.
"wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 10 employee paid = . 9 * 240 = 216 $ answer b" | null |
Question: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses . last week she sold 5 more pairs of soft lenses than hard lenses . if her total sales for pairs of contact lenses last week were $ 1,455 , what was the total number of pairs of contact lenses that she sold ?
A.11.
B.13.
C.15.
D.17.
e ) 19A.
( x + 5 ) * 150 + x * 85 = 1455 = > x = 3 total lens = 3 + ( 3 + 5 ) = 11 answer a | null |
Question: it costs $ 5 for the first 1 / 3 hour to use the laundry machine at the laundromat . after the first ΒΌ hour it costs $ 12 per hour . if a certain customer uses the laundry machine for 2 hours and 30 minutes , how much will it cost him ?
A.$ 27 ..
B.$ 29 ..
C.$ 31 ..
D.$ 33 ..
e ) $ 35 .C.
2 hrs 30 min = 150 min first 20 min - - - - - - > $ 5 time left is 130 min . . . now , 60 min costs $ 12 1 min costs $ 12 / 60 150 min costs $ 12 / 60 * 130 = > $ 26.00 so , total cost will be $ 26 + $ 5 = > $ 31 hence answer will be c | null |
Question: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * β¦ * n until the product is divisible by 1881 , what is the value of n ?
A.22.
B.38.
C.114.
D.122.
e ) 672C.
"factorise 1881 . . 3 * 11 * 57 . . so n has to be a multiple of largest prime number , 61 . . so n = 2 * 57 = 114 . . ans : c" | null |
Question: 2,7 , 17,3 , 11,19 , 5,13 , __
A.20.
B.21.
C.22.
D.23.
e ) 24D.
"2 = 1 st prime no . 3 = 2 nd p . n . 5 = 3 rd p . n . 7 = 4 th p . n . 11 = 5 th p . n . 13 = 6 th p . n . 17 = 7 th p . n . 19 = 8 th p . n . , and 23 = 9 th p . n . 2 , 7,17 = 1 st p . n . , ( 1 + 3 ) th p . n . , ( 1 + 3 + 3 ) th p . n . 3 , 11,19 = 2 nd p . n . , ( 2 + 3 ) th p . n . , ( 2 + 3 + 3 ) th p . n . 5 , 13,23 = 3 rd p . n . , ( 3 + 3 ) th p . n . , ( 3 + 3 + 3 ) th p . n . answer : d" | null |
Question: if 8 workers can build 8 cars in 8 days , then how many days would it take 4 workers to build 4 cars ?
A.2.
B.4.
C.8.
D.12.
e ) 16C.
8 workers can build 1 car per day on average . 1 worker can build 1 / 8 of a car per day . 4 workers can build 1 / 2 car per day . the time required to build 4 cars is 4 / ( 1 / 2 ) = 8 days the answer is c . | null |
Question: in 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b , the present age of b is
A.9 years.
B.19 years.
C.29 years.
D.39 years.
e ) noneD.
"solution let b ' s present age = x years . then , a ' s present age βΉ = βΊ ( x + 9 ) years . β΄ ( x + 9 ) + 10 = 2 ( x - 10 ) βΉ = βΊ x + 19 = 2 x - 20 βΉ = βΊ x = 39 . answer d" | null |
Question: if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 8 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?
A.1 / 9.
B.29 / 180.
C.9 / 80.
D.1 / 5.
e ) 39 / 121C.
"50 apprentices can finish the job in 4 hours , thus : 10 apprentices can finish the job in 4 * 5 = 20 hours ; in 1 hour 10 apprentices can finish 1 / 20 of the job . 30 journeymen can finish the same job in 4,5 hours , thus : 15 journeymen can finish the job in 8 * 2 = 16 hours ; in 1 hour 15 journeymen can finish 1 / 16 of the job . therefore , in 1 hour 10 apprentices and 15 journeymen can finish 1 / 20 + 1 / 16 = 9 / 80 of the job . answer : c" | null |
Question: two ships are sailing in the sea on the two sides of a lighthouse . the angle of elevation of the top of the lighthouse is observed from the ships are 30 ΒΊ and 45 ΒΊ respectively . if the lighthouse is 100 m high , the distance between the two ships is :
A.173 m.
B.200 m.
C.273 m.
D.300 m.
e ) none of theseC.
"xplanation : let ab be the lighthouse and c and d be the positions of the ships . then , ab = 100 m , < acb = 30 ΒΊ and < adb = 45 ΒΊ . ab / ac = tan 30 answer : c" | null |
Question: in a class , 5 people like baseball and football , 2 people only like baseball , 3 people only like football , and 6 people like neither . how many people are in the class ?
['A.10', 'B.14', 'C.16', 'D.20', 'e ) 22']C.
16 . to get the answer , you can simply add the different types of students , as there are no overlaps in the categories : 5 + 2 + 3 + 6 = 16 . as such , the correct answer is c : 16 . | null |
Question: how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8.5 m x 6 m x 22.5 cm ?
A.6400.
B.6410.
C.6440.
D.6500.
e ) 6800E.
"number of bricks = volume of wall / volume of bricks = 850 x 600 x 22.5 / 25 x 11.25 x 6 = = 6800 answer : e" | null |
Question: given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 4 ?
A.7.
B.8.
C.10.
D.11.
e ) 12C.
p is a positive even integer with a positive units digit - - > the units digit of p can be 2 , 4 , 6 , or 8 - - > in order the units digit of p ^ 3 - p ^ 2 to be 0 , the units digit of p ^ 3 and p ^ 2 must be the same . thus the units digit of p can be 0 , 1 , 5 or 6 . intersection of values is 6 , thus the units digit of p + 4 is 6 + 4 = 10 . answer : c . | null |
Question: a palindrome is a number that reads the same forward and backward , such as 196 . how many odd , 4 - digit numbers are palindromes ?
A.40.
B.45.
C.50.
D.90.
e ) 2500D.
"a palindrome is a number that reads the same forward and backward . examples of four digit palindromes are 1221 , 4334 , 2222 etc you basically get to choose the first two digits and you repeat them in opposite order . say , you choose 45 as your first two digits . the next two digits are 54 and the number is 4554 . also , you need only odd palindromes . this means that you need an odd digit at the end i . e . 1 / 3 / 5 / 7 / 9 . this means that you need to start the number with an odd digit . only then will it end with an odd digit . in how many ways can you pick two digits such that the first one is an odd digit ? the first digit can be selected in 5 ways . ( 1 / 3 / 5 / 7 / 9 ) the second digit can be selected in 10 ways . ( 0 / 1 / 2 / 3 . . . 8 / 9 ) total = 5 * 18 = 90 ways d" | null |
Question: the profit obtained by selling an article for rs . 56 is the same as the loss obtained by selling it for rs . 42 . what is the cost price of the article ?
A.rs . 40.
B.rs . 50.
C.rs . 49.
D.rs . 59.
e ) none of theseC.
"s . p 1 - c . p = c . p β s . p 2 56 - c . p = c . p - 42 2 c . p = 56 + 42 ; c . p = 98 / 2 = 49 answer : c" | null |
Question: what is the maximum number of points that 10 circles of different radii intersect ?
A.24.
B.26.
C.33.
D.90.
e ) 100D.
"the maximum number of points that two circles intersect is two . therefore , each of these 10 circles intersect two point with each of the other 9 circles . as a consequence , the number of these points is equal to two times the number of combination of the 10 circles . 2 β ( 10 ! ) / ( 2 ! β 10 ! ) = 90 answer : d" | null |
Question: an 80 - liter solution of cool - drink is made from 10 % jasmine water . if 5 liters of jasmine and 15 liters of water were added to the solution , what percent of the solution is jasmine ?
A.11 %.
B.13 %.
C.15 %.
D.17 %.
e ) 19 %B.
the percent of jasmine in the resulting solution is : ( amount of jasmine ) / ( total volume ) ( 0.1 ( 80 ) + 5 ) / 100 = 13 / 100 = 13 % the answer is b . | null |
Question: an error 3 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is
A.6.04 %.
B.6.14 %.
C.6.23 %.
D.6.26 %.
e ) 6.09 %E.
"100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 103 x 103 ) cm 2 . ( a 2 - a 1 ) = [ ( 103 ) 2 - ( 100 ) 2 ] = ( 103 + 100 ) x ( 103 - 100 ) = 609 cm 2 . percentage error = 6.09 e" | null |
Question: share rs . 6600 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?
A.2200.
B.980.
C.1200.
D.1240.
e ) 1400A.
"amount received by sanjay . 4 / 12 x 6600 = 2200 = ( related ratio / sum of ratio ) x total amount so , the amount received by sanjay is 2200 . a" | null |
Question: the cash realised on selling a 14 % stock is rs . 105.25 , brokerage being 1 / 4 % is ?
A.366.
B.106.
C.102.
D.105.
e ) 122D.
"cash realised = rs . ( 105.25 - 0.25 ) = rs . 106 . answer : d" | null |
Question: there are 6 boxes numbered 1 , 2 , β¦ , . 6 . each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered . the total number of ways in which this can be done is
A.22.
B.21.
C.45.
D.27.
e ) 25B.
list down possibilities : from only 1 box all the way to all 6 if only one of the boxes has a green ball , it can be any of the 6 boxes . so , we have 6 possibilities . if two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes . 12 , 23 , 34 , 45 , 56 . if 3 of the boxes have green balls , there are 4 possibilities : 123 , 234 , 345 , 456 . if 4 boxes have green balls , there are 3 possibilities : 1234 , 2345 , 3456 . if 5 boxes have green balls , there are 2 possibilities : 12345 , 23456 . if all 6 boxes have green balls , there is just 1 possibility . total number of possibilities = 6 + 5 + 4 + 3 + 2 + 1 = 21 . ans : b | null |
Question: a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume . if 2,500 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?
A.1.25 %.
B.3.75 %.
C.6.25 %.
D.6.67 %.
e ) 11.7 %D.
"10000 gallons solution has 500 gallons sodium chloride 9500 gallons water = > 2500 gallons water evaporates = > 7000 gallons water remains hence , concentration of sodium chloride is 500 / 7500 = 6.67 % answer : d" | null |
Question: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2490 ?
A.rs . 832.
B.rs . 830.
C.rs . 822.
D.rs . 812.
e ) rs . 810B.
"let the total amount in the partnership be ' x ' . then a ' s share = x / 3 b ' s share = x / 4 c ' s share = x / 5 d ' s share = x - ( x / 3 + x / 4 + x / 5 ) = 13 x / 60 a : b : c : d = x / 3 : x / 4 : x / 5 : 13 x / 60 = 20 : 15 : 12 : 13 a ' s share in the profit of rs . 2490 = 20 ( 2490 / 60 ) = rs . 830 . answer : b" | null |
Question: the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ?
A.44.
B.48.
C.46.
D.47.
e ) 50B.
"isosceles trapezoid indicates that if we draw perpendicular from two vertex of the smaller side , the longer side with side 15 will be divided into 3 parts = 9 , 3 and 3 ( making one square and two right triangles ) for the right triangle , height will be = ( 5 ^ 2 - 3 ^ 2 ) ^ 1 / 2 = 4 and the area of trapezoid = 1 / 2 ( b 1 + b 2 ) h = 1 / 2 * 24 * 4 = 48 b" | null |
Question: a train covers a distance at a speed of 240 kmph in 5 hours . to cover the same distance in 5 / 3 hours , it must travel at a speed of ?
A.516.
B.840.
C.560.
D.720.
e ) 920D.
"distance = 240 * 5 = 1200 km required speed = 1200 * 3 / 5 = 720 km / hr answer is d" | null |
Question: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its weekly needs ?
A.40.
B.30.
C.60.
D.45.
e ) 55C.
"let x be the number of 25 ounce cans . therefore ( x + 40 ) is the number of 15 ounce cans . total volume is same , therefore 25 x = 15 ( x + 40 ) 10 x = 600 x = 60 ans is c" | null |
Question: a 270 metres long bullet train running at the speed of 120 kmph crosses another bullet train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other bullet train ?
A.226.
B.230.
C.430.
D.310.
e ) 260B.
b 230 relative speed = ( 120 + 80 ) km / hr = 200 x 5 / 18 = 500 / 9 m / sec then , ( x + 270 ) / 9 = 500 / 9 - - > x + 270 = 500 - - > x = 230 . | null |
Question: winson traveled the entire 60 miles trip . if he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour , what is the his average speed , in miles per hour ?
A.20 mph.
B.24 mph.
C.30 mph.
D.32 mph.
e ) 40 mphE.
average speed = sum of distance / sum of time . if he travelled the first 10 miles at 20 miles / hr , it would take 0.5 hr . for the remaining trip , if he went at 48 miles / 1 hr , it would take 1 hour . then , the average speed is 60 miles / ( 0.5 + 1 ) hrs = 40 miles / 1 hr . therefore , the answer is e . | null |
Question: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 7 . what could be the ratio of cats to dogs in the pet store ?
A.1 : 3.
B.1 : 4.
C.28 : 35.
D.2 : 5.
e ) 4 : 6C.
"say theratioof cats to dogs is a / b . then thenumberof cats would be ax and thenumberof dogs bx , for some positive integer x . we are told that ax - bx = 7 - - > x ( a - b ) = 7 . since 7 is a prime number it could be broken into the product of two positive multiples only in one way : x ( a - b ) = 1 * 7 . the above implies that either x = 1 and a - b = 7 or x = 7 and ( a - b ) = 1 . therefore the correct answer should have the difference between numerator and denominator equal to 1 or 7 . for the original question only option which fits is e , 4 : 5 . cats = 7 * 4 = 28 and dogs = 7 * 5 = 35 . answer : c ." | null |
Question: a train running at the speed of 60 km / hr crosses a pole in 18 seconds . find the length of the train ?
A.150 meter.
B.170 meter.
C.156 meter.
D.300 meter.
e ) 154 meterD.
"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 18 = 300 meter answer : d" | null |
Question: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 13 and 14 . the larger of the two numbers is :
A.338.
B.278.
C.322.
D.231.
e ) 121C.
"clearly , the numbers are ( 23 * 13 ) and ( 23 * 14 ) . larger number = ( 23 * 14 ) = 322 . answer : c" | null |
Question: 60 is subtracted from 50 % of a number , the result is 10 . find the number ?
A.150.
B.120.
C.266.
D.288.
e ) 271B.
"( 50 / 100 ) * x β 50 = 10 5 x = 600 x = 120 answer : b" | null |
Question: 80 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ?
A.35.
B.32.
C.36.
D.40.
e ) 52A.
"x / 7 = y / 9 = > x : y = 7 : 9 7 / 16 * 80 = 35 answer : a" | null |
Question: the value of ( . 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2
A.100.
B.1000.
C.. 001.
D.. 0001.
e ) . 01A.
( . 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2 = a 2 + b 2 + c 2 / ( a / 10 ) 2 + ( b / 10 ) 2 + ( c / 10 ) 2 where a = . 02 , b = . 52 , c = . 035 = 100 ( a 2 + b 2 + c 2 ) / a 2 + b 2 + c 2 = 100 answer : a | null |
Question: how much time does a train 160 metres long running at 72 km / hr take to pass a pole ?
A.8 s.
B.2.5 s.
C.7.5 s.
D.7.6 s.
e ) 7.4 sA.
"explanation : 72 km / hr = 72 * 5 / 18 = 20 m / s speed = distance / time ; v = d / t 20 = 160 / t t = 8 s answer : a" | null |
Question: a certain company had a total annual expenditure of 1.26 β 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ?
A.$ 20,000.
B.$ 25,000.
C.$ 35,000.
D.$ 30,000.
e ) $ 45,000D.
"given : total annual expenditure of 1.26 β 10 ^ 7 on employee salaries total employees = 420 observe that 420 * 3 = 1260 therefore try to bring the numerator in terms of 1260 average salary = ( 1260 * 10 ^ 4 ) / 420 = 3 * 10 ^ 4 = 30,000 option d" | null |
Question: when the positive integer k is divided by the positive integer n , the remainder is 11 . if k / n = 61.2 , what is the value of n ?
A.9.
B.20.
C.65.
D.70.
e ) 81C.
"here ' s an approach that ' s based on number properties and a bit ofbrute forcemath : we ' re told that k and n are both integers . since k / n = 61.2 , we can say that k = 61.2 ( n ) n has tomultiply outthe . 2 so that k becomes an integer . with the answers that we have to work with , n has to be a multiple of 5 . eliminate a and e . with the remaining answers , we can test the answers and find the one that fits the rest of the info ( k / n = 81.2 and k / n has a remainder of 11 ) answer b : if n = 20 , then k = 1624 ; 1624 / 20 has a remainder of 4 not a match answer c : if n = 55 , then k = 4466 ; 4466 / 55 has a remainder of 11 match . final answer : c" | null |
Question: what is the remainder when 3 ^ 25 is divided by 5 ?
A.0.
B.1.
C.2.
D.3.
e ) 4D.
"the units digit of powers of 3 follow a repeating cycle of four : { 3 , 9 , 7 , 1 } 25 has the form 4 k + 1 , so the units digit of 3 ^ 25 is 3 . the remainder when dividing by 5 is 3 . the answer is d ." | null |
Question: two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 36 kmph and 72 kmph . in how much time will the trains cross each other ?
A.40 / 6.
B.40 / 3.
C.40 / 9.
D.40 / 2.
e ) 40 / 1B.
"relative speed = ( 36 + 72 ) * 5 / 18 = 30 mps . the time required = d / s = ( 100 + 100 + 200 ) / 30 = 400 / 30 = 40 / 3 sec . answer : b" | null |
Question: find the smallest 4 - digit number which is a multiple of 112 .
A.896.
B.1008.
C.1120.
D.1024.
e ) none of theseB.
the smallest four digit number is 1000 . if 1000 is divided by 112 , the remainder is 104 . 112 - 104 = 8 , if 8 is added to 1000 , it will become the smallest four digit number and a multiple of 112 . answer : b | null |
Question: on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 3 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on september 1 than were in stock on january 1 ?
A.8.
B.12.
C.24.
D.32.
e ) 36C.
"jan 1 = c feb 1 = c - 3 march 1 = c - 6 april 1 = c - 9 may 1 = c - 12 june 1 = c - 15 july 1 = c - 18 aug 1 = c - 21 sept 1 = c - 24 difference between stock on september 1 than were in stock on january 1 will be - c - ( c - 24 ) = 24 hence answer will be ( c )" | null |
Question: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is
A.11.
B.15.
C.6.
D.8.
e ) 76A.
"explanation : age of the 15 th student = [ 15 * 15 - ( 14 * 5 + 16 * 9 ) ] = ( 225 - 214 ) = 11 years . answer : a ) 11" | null |
Question: the sale price of a trolley bag including the sale tax is rs . 560 . the rate of sale tax is 12 % . if the shopkeeper has made a profit of 25 % , the cost price of the trolley bag is :
A.rs 1000.
B.rs 900.
C.rs 400.
D.rs 600.
e ) none of theseC.
"explanation : 112 % of s . p . = 560 s . p . = rs . ( 560 x 100 / 112 ) = rs . 500 . c . p . = rs ( 100 / 125 x 500 ) = rs 400 answer : c" | null |
Question: stacy and heather are 40 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ?
A.4 miles.
B.8 miles.
C.17 miles.
D.6 miles.
e ) 12 milesC.
"original distance between s and h = 40 miles . speed of s = 5 + 1 = 6 mph , speed of h = 5 mph . time traveled by h = t hours - - - > time traveled by s = t + 24 / 60 = t + 2 / 5 hours . now , the total distances traveled by s and h = 40 miles - - - > 6 * ( t + 2 / 5 ) + 5 * t = 40 - - - > t = 188 / 55 hours . thus h has traveled for 188 / 55 hours giving you a total distance for h = 5 * 188 / 55 = 17 miles . c is thus the correct answer . p . s . : based on the wording of the question , you should calculatehow far from theoriginal destination has heather walkedwhen the two meet . ' original destination ' for h does not make any sense . original destination for h was situated at a distance of 20 miles ." | null |
Question: if a 1 mm thick paper is folded so that the area is halved at every fold , then what would be the thickness of the pile after 50 folds ?
['A.100 km', 'B.1000 km', 'C.1 million km', 'D.1 billion km', 'e ) none']D.
after 1 hold , thickness will be 2 mm after 2 hold , thich ness will be 4 mm after 50 th hold thick ness will be 2 ^ 50 mm . . converting to km . . . . gives 1 billion km answer : d | null |
Question: a motorcyclist goes from bombay to pune , a distance of 128 kms at an average of 32 kmph speed . another man starts from bombay by car 2 Β½ hours after the first , and reaches pune Β½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?
A.1 : 3.
B.1 : 5.
C.1 : 4.
D.1 : 1.
e ) 1 : 8C.
"t = 128 / 32 = 4 h t = 4 - 3 = 1 time ratio = 4 : 1 = 4 : 1 speed ratio = 1 : 4 answer : c" | null |
Question: a man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ?
A.1 kmph.
B.5 kmph.
C.6 kmph.
D.4 kmph.
e ) 7 kmphB.
"explanation : speed of man = 5.5 kmph speed of stream = 1.5 kmph speed in downstream = 7 kmph speed in upstream = 4 kmph average speed = ( 2 x 7 x 4 ) / 11 = 5 kmph . answer : b" | null |
Question: when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 5 , the quotient is 3 y and the remainder is 4 . what is the value of 4 y β x ?
A.- 2.
B.- 1.
C.0.
D.1.
e ) 2C.
"( 1 ) x = 11 y + 4 ( 2 ) 2 x = 15 y + 4 let ' s subtract equation ( 1 ) from equation ( 2 ) . 4 y = x 4 y - x = 0 the answer is c ." | null |
Question: martin bought 10 concert tickets , some at the full price of $ 2.00 per ticket , and some at a discounted price of $ 1.60 per ticket . if he spent a total of $ 18.40 , how many discounted tickets did he buy ?
A.3.
B.4.
C.5.
D.6.
e ) 7B.
let x be the number of tickets he bought at $ 2 per ticket . then 2 x + ( 10 - x ) 1.6 = 18.4 0.4 x = 2.4 = > x = 6 discounted tickets = 10 - x = 4 ans : b | null |
Question: the area of a square field is 625 km 2 . how long will it take for a horse to run around at the speed of 25 km / h ?
A.12 h.
B.10 h.
C.8 h.
D.4 h.
e ) none of theseD.
explanation area of field = 625 km 2 . then , each side of field = β 625 = 25 km distance covered by the horse = perimeter of square field = 25 Γ 4 = 100 km β΄ time taken by horse = distances / peed = 100 / 25 = 4 h answer d | null |
Question: how is 3 % expressed as a decimal fraction ?
A.0.3.
B.0.03.
C.0.003.
D.0.0003.
e ) 3B.
"3 / 100 = 0.03 answer : b" | null |
Question: the cross section of a canal is trapezium in shape . the canal is 12 m wide at the top and 8 m wide at the bottom . if the area of the cross section is 840 sq . m , the depth of the canal is :
A.42 m.
B.84 m.
C.63 m.
D.8.75 m.
e ) 9.75 mB.
Β½ ( 12 + 8 ) d = 840 or d = 84 m answer : b | null |
Question: if x / 4 years ago roger was 21 years old and x / 4 years from now he will be 4 x years old , how old will he be 5 x years from now ?
A.32.
B.35.
C.30.
D.40.
e ) 70E.
assume the current age = a a - x / 4 = 28 ( i ) a + x / 4 = 4 x or a = 15 x / 4 ( ii ) putting the value of a from ( ii ) in ( i ) 15 x / 4 - x / 4 = 28 or 14 x / 4 = 28 therefore x = 8 and a = 30 5 x years from now , age will be 30 + 5 * 8 = 70 option e | null |
Question: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 21 per kg , then his gain percent is
A.12 %.
B.13 %.
C.14 %.
D.15 %.
e ) 16 %A.
"explanation : suppose he bought 5 kg and 3 kg of tea . cost price = rs . ( 5 x 18 + 3 x 20 ) = rs . 150 . selling price = rs . ( 8 x 21 ) = rs . 168 . profit = 168 - 150 = 18 so , profit % = ( 18 / 150 ) * 100 = 12 % option a" | null |
Question: what should be added to 4872 so that it may become a perfect square ?
A.24.
B.25.
C.26.
D.27.
e ) 28E.
"70 x 70 = 4900 4900 - 4872 = 28 if added to 28 get perfect square answer = e" | null |
Question: if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 54 , then * is equal to :
A.- 29.
B.- 19.
C.15.
D.29.
e ) 39C.
"45 - [ 28 - { 37 - ( 15 - * ) } ] = 54 = > 45 - [ 28 - { 37 - 15 + * } ] = 54 45 - [ 28 - 37 + 15 - * ] = 54 = > 45 [ 43 - 37 - * ] = 54 45 - [ 6 - * ] = 54 = > 45 - 6 + * = 54 39 + * = 54 = > * = 54 - 39 = 19 answer : c" | null |
Question: if 2 tic equals 3 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ?
A.15 / 2.
B.6 / 5.
C.21 / 4.
D.3 / 10.
e ) 1 / 15C.
2 tic = 3 * tac and 2 * tac = 7 * toc ; 4 * tic = 6 * tac and 6 * tac = 21 * toc - - > 4 * tic = 21 * toc - - > tic / toc = 21 / 4 . answer : c . | null |
Question: how many prime numbers are between 29 / 3 and 87 / 6 ?
A.1.
B.2.
C.3.
D.4.
e ) 5B.
"29 / 3 = 58 / 6 = 10 - 87 / 6 = 15 - prime numbers between 10 and 15 are 11 and 13 - sign signifies that the number is marginally less . answer b" | null |
Question: find the greatest number which leaves the same remainder when it divides 25 , 57 and 105 .
A.18.
B.8.
C.12.
D.16.
e ) none of theseD.
105 - 57 = 48 57 - 25 = 32 105 - 25 = 80 the h . c . f of 32 , 48 and 80 is 16 . answer : d | null |
Question: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
A.1235.
B.1456.
C.1567.
D.1678.
e ) 1635E.
"let the smaller number be x . then larger number = ( x + 1365 ) . x + 1365 = 6 x + 15 5 x = 1350 x = 270 large number = 270 + 1365 = 1635 e" | null |
Question: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 50 % more recliners . what is the percentage increase of the gross ?
A.10 %.
B.15 %.
C.20 %.
D.25 %.
e ) 50 %C.
"say a recliner is actually worth $ 100 if she sells 100 recliners then she earns $ 10000 after the discount of 20 % , she will earn $ 80 per recliner and she sells 50 % more ie . , 150 recliners hence her sales yields 150 * 80 = $ 12000 increase in sales = 12000 - 10000 = $ 2000 so % increase = 2000 * 100 / 10000 = 20 % c is the answer" | null |
Question: 108 Γ£ β 108 + 92 Γ£ β 92 = ?
A.20120.
B.11500.
C.20128.
D.20660.
e ) 20228C.
explanation : ( a + b ) 2 + ( a Γ’ Λ β b ) 2 = 2 ( a 2 + b 2 ) ( reference : basic algebraic formulas ) 1082 + 922 = ( 100 + 8 ) 2 + ( 100 Γ’ Λ β 8 ) 2 = 2 ( 1002 + 82 ) = 2 ( 10000 + 64 ) = 20128 . answer : option c | null |
Question: 7.515 / 10.02 =
A.0.35.
B.0.3505.
C.0.3509.
D.0.351.
e ) 0.75E.
"7.515 / 10.02 7.515 / 1002 = 7.5 move the comma two places to the left as we have 2 decimal places from the divisor : 0.75 . answer : e" | null |
Question: 1 - 1 - 1 - 1 - 1 - 1 do any operations between the numbers to make the sum as 37 ?
A.34.
B.35.
C.36.
D.37.
e ) 38D.
1 + 1 + 1 = 3 3 factorial = 6 6 to the power 1 + 1 = 6 ^ 2 = 36 36 + 1 = 37 answer : d | null |
Question: 150 college students were asked in a survey if they preferred windows or mac brand computers . 40 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 40 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ?
A.25.
B.40.
C.70.
D.60.
e ) 75C.
"150 = 40 ( mac ) + x ( window ) + 40 ( both ) = > x = 70 answer : c" | null |
Question: two trains of equal length are running on parallel lines in the same directions at 46 km / hr . and 36 km / hr . the faster trains pass the slower train in 18 seconds . the length of each train is :
A.25 m.
B.50 m.
C.72 m.
D.80 m.
e ) none of theseA.
"explanation : the relative speed of train is 46 - 36 = 10 km / hr = ( 10 x 5 ) / 18 = 25 / 9 m / s 10 Γ 518 = 259 m / s in 18 secs the total distance traveled is 18 x 25 / 9 = 50 m . therefore the length of each train is = 50 / 2 = 25 m . answer a" | null |
Question: what is the area of a square field whose sides have a length of 11 meters ?
A.225 sq m.
B.205 sq m.
C.121 sq m.
D.167 sq m.
e ) 156 sq mC.
"11 * 11 = 121 sq m the answer is c ." | null |
Question: what is the unit digit of ( 6 ! * 3 ! / 3 ! * 4 ! ) ?
A.5.
B.6.
C.0.
D.3.
e ) 4C.
"( 6 ! * 3 ! / 3 ! * 4 ! ) = ( 6 ! / 4 ! ) = 5 * 6 = 30 units digit of the above product will be equal to 0 answer c" | null |
Question: in the coordinate plane , points ( x , 2 ) and ( 4 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x - y =
A.6.
B.7.
C.8.
D.9.
e ) 10B.
"line k passes through the origin and has slope 1 / 4 means that its equation is y = 1 / 4 * x . thus : ( x , 2 ) = ( 8 , 2 ) and ( 4 , y ) = ( 4,1 ) - - > x - y = 8 - 1 = 7 . answer : b" | null |
Question: 275 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees
A.11.
B.12.
C.14.
D.16.
e ) 17A.
"26 trees have 25 gaps between them , required distance ( 275 / 25 ) = 11 a" | null |
Question: a group of boy scouts and girls scouts is going on a rafting trip . 60 % of the scouts arrived with signed permission slips . if 45 % of the scouts were boy scouts and 50 % of the boy scouts arrived with signed permission slips , then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent .
A.64.
B.68.
C.72.
D.76.
e ) 80B.
"45 % were boy scouts so 55 % ( 100 - 45 = 55 ) were girl scouts . # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed ( 50 % of 45 % of the total going ) + ( ? % of 55 % of the total going ) = 60 % of the total going we can let the ` ` total going ' ' = 1,000 arbitrarily since we only care about the percent ( of girl scouts w / permission signed ) . 50 * . 45 * 1,000 + x * . 55 * 1,000 = . 60 * 1,000 225 + x * 550 = 600 550 x = 375 x = 375 / 550 x = . 6818181818 which converts to a percent of 68.18181818 % which rounds to 68 % b" | null |
Question: the length of the bridge , which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?
A.76 m.
B.178 m.
C.220 m.
D.187 m.
e ) 176 mC.
"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 155 + x ) / 30 = 25 / 2 = > 2 ( 155 + x ) = 750 = > x = 220 m . answer : c" | null |
Question: the shopkeeper sale , all of the prices of the items sold were different . if the price of a radio sold at the shopkeeper sale was both the 9 th highest price and the 14 th lowest price among the prices of the items sold , how many items were sold at the shopkeeper sale ?
A.23.
B.22.
C.32.
D.26.
e ) 17B.
8 + 13 + 1 = 22 answer : b | null |
Question: find the value of 2 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]
A.800.
B.500.
C.900.
D.1600.
e ) noneD.
"answer 2 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ] = 2 x [ ( 36 x 48 x 250 ) / ( 12 x 9 x 5 ) ] = 2 x 4 x 4 x 50 = 1600 correct option : d" | null |
Question: 20 is subtracted from 80 % of a number , the result is 60 . find the number ?
A.150.
B.997.
C.100.
D.288.
e ) 271C.
"( 80 / 100 ) * x β 20 = 60 8 x = 800 x = 100 answer : c" | null |
Question: a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 40 paise per sq . metre
A.s 340.
B.s 780.
C.s 880.
D.s 480.
e ) s 980A.
area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 40 = 34000 p in rs = 34000 / 100 = rs 340 answer : a | null |
Question: there are 280 doctors and nurses at a hospital . if the ratio of doctors to nurses is 5 to 9 , how many nurses are at the hospital ?
A.165.
B.170.
C.175.
D.180.
e ) 185D.
the number of nurses at the hospital is ( 9 / 14 ) * 280 = 180 . the answer is d . | null |
Question: a man sells a car to his friend at 10 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :
A.rs . 25000.
B.rs . 37500.
C.rs . 50000.
D.rs . 60000.
e ) none of theseC.
"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 Γ 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 10 % . now s . p = rs . 45000 and loss = 10 % c . p . rs . [ 10090 Γ 45000 ] = rs . 50000 . correct option : c" | null |
Question: addison high school β s senior class has 160 boys and 200 girls . if 75 % of the boys and 84 % of the girls plan to attend college , what percentage of the total class plan to attend college ?
A.75.
B.79.5.
C.80.
D.83.5.
e ) 84C.
"number of boys attending the party : 0.75 * 160 = 120 number of girls attending the party : 0.84 * 200 = 168 total attending = 120 + 168 = 288 total people = 160 + 200 = 360 % of people attending = 288 / 360 = 80 % . c is the correct answer" | null |
Question: jim β s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?
A.$ 3.15.
B.$ 4.45.
C.$ 4.80.
D.$ 5.05.
e ) $ 5.40E.
"let the fixed charge of jim β s taxi service = 2.25 $ and charge per 2 / 5 mile ( . 4 mile ) = . 35 $ total charge for a trip of 3.6 miles = 2.25 + ( 3.6 / . 4 ) * . 35 = 2.25 + 9 * . 35 = 5.4 $ answer e" | null |
Question: 5.005 / 4.004 =
A.1.05.
B.1.50015.
C.1.501.
D.1.5015.
e ) 1.25E.
"5.005 / 4.004 = 5005 / 4004 = 5 ( 1001 ) / 4 ( 1001 ) = 5 / 4 = 1.25 the answer is e ." | null |
Question: if a ( a + 7 ) = 60 and b ( b + 7 ) = 60 , where a β b , then a + b =
A.β 7.
B.β 2.
C.2.
D.46.
e ) 48A.
"i . e . if a = 5 then b = - 12 or if a = - 12 then b = 5 but in each case a + b = - 12 + 5 = - 7 answer : option a" | null |
Question: find the probability that the number drawn is a multiple of 6 and 8 .
A.3 / 50.
B.2 / 25.
C.1 / 50.
D.1 / 25.
e ) 4 / 25D.
"from 1 to 100 there are 4 numbers which are multiples of 6 and 8 . ( i . e , multiples of 24 ) therefore , required probability = 4 / 100 = 1 / 25 answer : d" | null |
Question: the average age of 36 students in a group is 18 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?
A.35 years.
B.55 years.
C.51 years.
D.54 years.
e ) none of theseB.
"explanation : age of the teacher = ( 37 * 19 - 36 * 18 ) years = 55 years . answer : b" | null |
Question: fred and sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 6 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ?
A.5.
B.9.
C.25.
D.30.
e ) 45C.
"relative distance = 55 miles relative speed = 6 + 5 = 11 miles per hour time taken = 55 / 11 = 5 hours distance travelled by sam = 5 * 5 = 25 miles = c" | null |
Question: an association of mathematics teachers has 1,260 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 65 percent of the votes cast ?
A.75 %.
B.58 %.
C.42 %.
D.27.08 %.
e ) 25 %D.
"total number of members = 1260 number of members that cast votes = 525 since , winning candidate received 65 percent of the votes cast number of votes for winning candidate = ( 65 / 100 ) * 525 = 341.25 percent of total membership that voted for winning candidate = ( 341.25 / 1260 ) * 100 = 27.08 % answer d" | null |
Question: what is the remainder of ( 3682 * 3684 * 3686 ) divided by 19 ?
A.0.
B.1.
C.2.
D.3.
e ) 4A.
"3686 % 19 = 0 so ans = 0 answer : a" | null |
Question: a can do a work in 24 days and b can do it in 12 days . in how many days a and b can do the work ?
A.20 days.
B.10 days.
C.6 days.
D.5 days.
e ) 8 daysE.
"explanation : a ' s 1 day ' s work = 1 / 24 b ' s 1 day ' s work = 1 / 12 they work together = 1 / 24 + 1 / 12 = 3 / 24 = 24 / 3 = 8 days answer : option e" | null |
Question: a prize of $ 1200 is to be distributed among 40 winners , each of whom must be awarded at least $ 40 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ?
A.$ 100.
B.$ 120.
C.$ 280.
D.$ 300.
e ) $ 360B.
"total value of the prize = $ 1200 number of people = 40 2 / 5 of 1200 ( = $ 480 ) should be distributed among 3 / 5 of 40 ( = 24 people ) with each getting $ 40 each . remaining money = 1200 - 480 = $ 720 . now in order to ' maximize ' 1 prize , we need to minimise the others and we have been given that each should get $ 40 . thus , minimising the remaining 15 people ( = 40 - 24 - 1 . ' - 1 ' to exclude 1 that needs to be maximised ) = 15 * 40 = 600 . thus the maximum award can be = 720 - 600 = $ 120 , hence b is the correct answer ." | null |
Question: the profits of qrs company rose 20 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?
A.15 %.
B.32 %.
C.44 %.
D.62 %.
e ) 80 %C.
"assume 100 in march , then 120 in april as 20 % increase , then 96 in may as 20 % decrease from april , and then 144 in june which is 150 % of 96 . so overall increase is from 100 to 144 is 44 % answer c" | null |
Question: if the speed of a man is 63 km per hour , then what is the distance traveled by him in 25 seconds ?
A.275 m.
B.360 m.
C.375 m.
D.437.5 m.
e ) 440 mD.
"the distance traveled in 25 sec = 63 * ( 5 / 18 ) * 25 = 437.5 m answer : d" | null |
Question: john purchased some shirts and trousers for $ 700 . he paid $ 400 less for the shirts than he did for the trousers . if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser , how many trousers did he buy ?
A.4.
B.5.
C.6.
D.7.
e ) 11E.
"given that the total purchase of two items cost 700 . so the average purchase of one item will cost 700 / 2 = 350 . its given as total shirt cost 400 $ less . hence total shirt cost = 350 - 50 and total trouser cost = 350 + 50 5 shirts = 150 $ = = > one shirt = 30 $ one trouser = 30 + 20 = 50 $ total trousers = 550 / 50 = 11 . e" | null |
Question: if a sum of money doubles itself in 10 years at simple interest , the ratepercent per annum is
A.10.
B.12.5.
C.13.
D.13.5.
e ) 14A.
"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 10 ) = 10 option a" | null |
Question: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 7 miles per day and it will take them two days , how many miles long is the route down the mountain ?
A.18.
B.19.
C.20.
D.21.
e ) 22D.
"on the way down , the rate is 1.5 * 7 = 10.5 miles per day . the distance of the route down the mountain is 2 * 10.5 = 21 miles . the answer is d ." | null |
Question: of the goose eggs laid at a certain pond , 1 / 4 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 120 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ?
A.1200.
B.1300.
C.1400.
D.1500.
e ) 1600D.
"let x be the number of eggs that were laid . ( 2 / 5 ) ( 4 / 5 ) ( 1 / 4 ) x = 120 ( 8 / 100 ) x = 120 x = 1500 the answer is d ." | null |
Question: 2.08 can be expressed in terms of percentage as
A.2.08 %.
B.20.8 %.
C.208 %.
D.0.208 %.
e ) none of theseC.
"explanation : while calculation in terms of percentage we need to multiply by 100 , so 2.08 * 100 = 208 answer : option c" | null |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.