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Question: at what price must an article costing rs . 47.50 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 25 % on the cost price ?
A.65.9.
B.62.3.
C.62.7.
D.62.2.
e ) 62.9A.
"cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 90 / 100 ) = 59.375 mp = 65.9 answer : a" | null |
Question: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 6 : 4 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel .
A.1 : 1.
B.2 : 1.
C.3 : 1.
D.5 : 1.
e ) 6 : 1A.
"vessel a = 300 gallons - - > milk = 100 , water = 200 ; vessel b = 500 gallons - - > milk = 300 , water = 200 ; vessel a + b = 800 gallons - - > milk = 400 , water 400 the ratio = 400 / 400 - - > 1 : 1 answer : a" | null |
Question: the price of a jacket is reduced by 10 % . during a special sale the price of the jacket is reduced another 30 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?
A.32.5.
B.58.7.
C.48.
D.65.
e ) 67.5B.
"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 10 % , therefore bringing down the price to $ 90 . 3 ) again it is further discounted by 30 % , therefore bringing down the price to $ 63 . 4 ) now 67.5 has to be added byx % in order to equal the original price . 63 + ( x % ) 63 = 100 . solving this eq for x , we get x = 58.7 ans is b" | null |
Question: the ratio between the sale price and the cost price of an article is 7 : 5 . what is the ratio between the profit and the cost price of that article ?
A.2 : 8.
B.2 : 1.
C.2 : 2.
D.2 : 4.
e ) 2 : 5E.
"explanation : let c . p . = rs . 5 x and s . p . = rs . 7 x . then , gain = rs . 2 x required ratio = 2 x : 5 x = 2 : 5 answer : e" | null |
Question: two trains 110 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
A.10.9.
B.10.7.
C.10.3.
D.10.8.
e ) 9.72E.
"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 110 + 160 = 270 m . required time = 270 * 9 / 250 = 243 / 25 = 9.72 sec . ' answer : e" | null |
Question: thomas ' s age and matt ' s age are in the ratio 3 : 5 . two years ago the ratio of their ages was 5 : 9 . find the ratio of their ages 4 years hence ?
A.1 : 2.
B.2 : 3.
C.3 : 4.
D.4 : 5.
e ) 5 : 6B.
let ages of thomas and matt be x and y respectively . x / y = 3 / 5 = > x = 3 / 5 y ( x - 2 ) / ( y - 2 ) = 5 / 9 = > 9 x - 18 = 5 y - 10 = > 9 x = 5 y + 8 but x = 3 / 5 y 9 * 3 / 5 y = 5 y + 8 27 y = 25 y + 40 = > y = 20 years = > x = 3 * 20 / 5 = > 12 years ratio of their ages four years hence , ( 12 + 4 ) / ( 20 + 4 ) = 16 / 24 . = > 2 : 3 answer : b | null |
Question: dan ' s age after 16 years will be 4 times his age 8 years ago . what is the present age of dan ?
A.12.
B.16.
C.20.
D.24.
e ) 28B.
let dan ' s present age be x . x + 16 = 4 ( x - 8 ) 3 x = 48 x = 16 the answer is b . | null |
Question: a certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water . if between 9 and 16 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately
['A.4', 'B.5', 'C.7', 'D.8', 'e ) 9']A.
if sides are 7 , vol = 7 ^ 3 = 343 75 % = 257.25 , 85 % = 291.55 so vol above water , between 85.75 and 51.45 - - > too big if side are 4 , vol = 64 75 % = 48 , 85 % = 54.4 vol above water between 16 and 9.6 so 4 should be the answer . check option c , if sides are 5 , vol = 125 75 % = 93.75 , . 85 % = 106.25 vol above water between 18.75 - 31.25 ( sides are 4 cubic centimeters ) a | null |
Question: how much space , in cubic units , is left vacant when maximum number of 6 x 6 x 6 cubes are fitted in a rectangular box measuring 12 x 18 x 14 ?
A.428.
B.429.
C.430.
D.431.
e ) 432E.
"no of cubes that can be accommodated in box = ( 12 * 18 * 14 ) / ( 6 * 6 * 6 ) 12 * 16 in numerator can be perfectly divided by 6 * 6 in denominator . side with length 14 ca n ' t be perfectly divided by 6 and hence is the limiting factor . closet multiple of 6 less that 14 is 12 . so vacant area in cube = = 18 * 12 * ( 14 - 12 ) = 18 * 12 * 2 = 432 ans - e" | null |
Question: a work as fast as b . if b can complete a work in 16 days independently , the number of days in which a and b can together finish the work in ?
A.2 days.
B.3 days.
C.4 days.
D.5 1 / 3 days.
e ) 6 daysD.
"ratio of rates of working of a and b = 2 : 1 ratio of times taken = 1 : 2 a ' s 1 day work = 1 / 8 b ' s 1 day work = 1 / 16 a + b 1 day work = 1 / 8 + 1 / 16 = 3 / 16 = > 16 / 3 = 5 1 / 3 a and b can finish the work in 5 1 / 3 days answer is d" | null |
Question: the sum of 11 consecutive integers is 1111 . what is the greatest integer in the set ?
A.100.
B.102.
C.104.
D.106.
e ) 108D.
"let x be the first integer in the set , then x + 10 is the largest integer . the sum is : x + ( x + 1 ) + ( x + 2 ) + . . . + ( x + 10 ) = 11 x + 10 * 11 / 2 = 11 ( x + 5 ) then x + 5 = 101 x = 96 the largest integer in the set is 96 + 10 = 106 the answer is d ." | null |
Question: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers q are there between 6 * + 2 and 6 * + 6 , inclusive ?
A.none.
B.one.
C.two.
D.three.
e ) fourA.
given that n * denotes the product of all the integers from 1 to n , inclusive so , 6 * + 2 = 6 ! + 2 and 6 * + 6 = 6 ! + 6 . now , notice that we can factor out 2 our of 6 ! + 2 so it can not be a prime number , we can factor out 3 our of 6 ! + 3 so it can not be a prime number , we can factor out 4 our of 6 ! + 4 so it can not be a prime number , . . . the same way for all numbers between 6 * + 2 = 6 ! + 2 and 6 * + 6 = 6 ! + 6 , inclusive . which means that there are no primes q in this range . answer : a . | null |
Question: 5020 − ( 1004 ÷ 20.08 ) = ?
A.4520.
B.4350.
C.4210.
D.4100.
e ) 4970E.
"explanation : = 5020 − ( 1004 / 2008 × 100 ) = 5020 − 50 = 4970 option e" | null |
Question: it takes 60 identical printing machines 2 hours to print 300 cards . how much more time would it take 50 of these machines to print the same total ?
A.20 min.
B.25 min.
C.26 min.
D.36 min.
e ) 30 minD.
50 % of 60 = 30 % or 0.30 2 hr x 60 min = 120 min 120 min x 0.30 = 36 min it will take 36 min longer to print them with only 50 printers . answer is d | null |
Question: a 18 % stock yielding 12 % is quoted at :
A.s . 83.33.
B.s . 110.
C.s . 112.
D.s . 120.
e ) s . 150E.
"income of rs 12 on investment of rs 100 income of rs 18 on investment of ? = ( 18 * 100 ) / 12 = 150 answer : e" | null |
Question: ( 23341379 × 72 ) = ?
A.1223441288.
B.2142579288.
C.2142339288.
D.2142339277.
e ) 1680579288E.
"23341379 × 72 = 23341379 ( 70 + 2 ) = ( 23341379 × 70 ) + ( 23341379 × 2 ) = 1633896530 + 46682758 = 1680579288 answer is e ." | null |
Question: the maximum number of student amoung them 1802 pens and 1203 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
A.1.
B.10.
C.11.
D.19.
e ) none of theseA.
solution required number of student = h . c . f of 1802 and 1203 = 1 . answer a | null |
Question: how many of the positive factors of 25 , 150 and how many common factors are there in numbers ?
A.2.
B.4.
C.3.
D.5.
e ) 1C.
"factors of 25 - 1 , 5 , 25 factors of 150 - 1 , 2 , 3 , 5 , 6 , 10 , 15 , 25 , 30 , 50 , 75 , 150 comparing both , we have three common factors of 25 and 150 - 1 , 5,25 answer ( c )" | null |
Question: if the cost price of 35 chocolates is equal to the selling price of 21 chocolates , the gain percent is :
A.66.55 %.
B.66.66 %.
C.66 %.
D.55 %.
e ) 66.33 %B.
"explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 21 chocolates = rs . 21 ; s . p . of 21 chocolates = rs . 35 . . ' . gain % = 14 * 100 / 21 = 66.66 % answer : b" | null |
Question: nd the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 15 cm ?
['A.766 cm 2', 'B.535 cm 2', 'C.285 cm 2', 'D.324 cm 2', 'e ) 235 cm 2']C.
area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 15 ) = 285 cm 2 answer : c | null |
Question: if ( 10 ^ 4 * 3.456789 ) ^ 11 is written as a single term , how many digits would be to the right of the decimal place ?
A.12.
B.18.
C.22.
D.28.
e ) 36C.
"3.456789 ^ 11 has 6 * 11 = 66 decimal places . 10 ^ 44 moves the decimal place to the right 44 places . ( 10 ^ 4 * 3.456789 ) ^ 11 has 66 - 44 = 22 digits after the decimal point . the answer is c ." | null |
Question: a 300 m long train crosses a platform in 36 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?
A.288.
B.300.
C.889.
D.276.
e ) 234B.
"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 36 = 50 / 3 3 x + 900 = 1800 = > x = 300 m . answer : b" | null |
Question: the average expenditure of a labourer for 3 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is
A.70.2.
B.50.1.
C.75.2.
D.78.4.
e ) 52.5E.
"income of 3 months = ( 3 × 85 ) – debt = 255 – debt income of the man for next 4 months = 4 × 60 + debt + 30 = 270 + debt ∴ income of 10 months = 525 average monthly income = 525 ÷ 10 = 52.5 answer e" | null |
Question: the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 63.0 . what is the quiz score of the student who dropped the class ?
A.A.10.
B.B.25.
C.C.40.
D.D.55.
e ) e ) 70D.
total score of 16 students is 16 * 62.50 = 1000 total score of 15 students is 15 * 63 = 945 so , the score of the person who left is 55 ( 1000 - 945 ) answer will be ( d ) | null |
Question: how many positive integers w between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ?
A.3.
B.16.
C.75.
D.24.
e ) 26E.
1 ) i figured there are 101 integers ( 300 - 200 + 1 = 101 ) . since the set begins with an even and ends with an even , there are 51 evens . 2 ) question says integers are not divisible by 2 , leaving all of the odds ( 101 - 51 = 50 integers ) . 3 ) question says integers are not divisible by 5 , removing all the integers ending in 5 ( already took out those ending in 0 ) . take out 10 integers ( 2 ? 5 , ? = 0 to 9 ) , leaving us with 40 integers . 4 ) now the painstaking part . we have to remove the remaining numbers that are multiples of 3 . those are 201 , 207 , 213 , 219 , 231 , 237 , 243 , 249 , 261 , 267 , 273 , 279 , 291 , and 297 . . . a total of 14 numbers . 26 numbers left ! 6 ) answer choice e . | null |
Question: the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 25 % ?
A.37.5 %.
B.37.6 %.
C.38.5 %.
D.17.1 %.
e ) 37.2 %D.
"let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 75 gain % = 11 / 64 * 100 = 17.1 % . answer : d" | null |
Question: one - fourth of the workers in palabras bookstore have read the latest book by j . saramago , and 5 / 8 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 40 workers in the palabras bookstore , how many of them have read both books ?
A.3.
B.2.
C.9.
D.8.
e ) 7B.
there are total 40 workers . one - fourth of the workers in palabras bookstore have read the latest book by j . saramago , so 10 have read saramago . 5 / 8 of the workers have read the latest book by h . kureishi . so ( 5 / 8 ) * 40 = 25 have read kureishi the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book if b workers have read both books , 20 - b have read saramago but not kureishi . so , ( 10 - b - 1 ) have read neither . total = n ( a ) + n ( b ) - both + neither 40 = 10 + 25 - b + ( 10 - b - 1 ) b = 2 answer ( b ) | null |
Question: a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 70 percent of books that were loaned out are returned and there are 57 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
A.20.
B.30.
C.35.
D.40.
e ) 60E.
"i did n ' t understand how did we get 100 ? total = 75 books . 65 % of books that were loaned out are returned - - > 100 % - 70 % = 30 % of books that were loaned out are not returned . now , there are 57 books , thus 76 - 68 = 7 books are not returned . { loaned out } * 0.30 = 18 - - > { loaned out } = 60 . answer : e ." | null |
Question: a train 330 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.18 sec.
B.15 sec.
C.4 sec.
D.16 sec.
e ) 12 secA.
"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 = [ 330 * 3 / 55 ] sec = 18 sec answer : a" | null |
Question: if the selling price of 50 articles is equal to the cost price of 40 articles , then the loss or gain percent is :
A.45 %.
B.23 %.
C.20 %.
D.60 %.
e ) 56 %C.
"c c . p . of each article be re . 1 . then , c . p . of 50 articles = rs . 50 ; s . p . of 50 articles = rs . 40 . loss % = 10 / 50 * 100 = 20 %" | null |
Question: a shopkeeper loses 15 % , if an article is sold for rs . 136 . what should be the selling price of the article to gain 20 % ?
A.s . 147.
B.s . 148.
C.s . 144.
D.s . 189.
e ) s . 192E.
"given that sp = rs . 136 and loss = 15 % cp = [ 100 ( sp ) ] / ( 100 - l % ) = ( 100 * 136 ) / 85 = rs . 160 . to get 20 % profit , new sp = [ ( 100 + p % ) cp ] / 100 = ( 160 * 120 ) / 100 = rs . 192 answer : e" | null |
Question: what two - digit number is less than the sum of the square of its digits by 15 and exceeds their doubled product by 5 ?
A.95.
B.99.
C.26.
D.73.
e ) none of the aboveD.
"let the digits be x and y . the number would be 10 x + y . we are given that 2 xy + 5 = 10 x + y = x ^ 2 y ^ 2 - 15 thus 2 xy + 5 = x ^ 2 + y ^ 2 - 15 x ^ 2 + y ^ 2 - 2 xy = 16 ( x - y ) ^ 2 = 16 ( x - y ) = 4 or - 4 substituting the values of ( x - y ) in the equation 2 xy + 5 = 10 x + y x comes out to be 1 or 9 . . . thus the two numbers can be 15 or 73 thus the answer is d" | null |
Question: on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 47 centimeters assuming that 1 - inch is 2.54 centimeters ?
A.174.2.
B.212.
C.288.1.
D.296.
e ) 282.4D.
1.5 inch = 2.54 * 1.5 cm . so , 2.54 * 1.5 represents 24 miles . so for 47 cm . : 47 / ( 2.54 * 1.5 ) = x / 24 - - - > x = 24 * 47 / ( 4.81 ) = 296 answer will be d . | null |
Question: a train 800 m long can cross an electric pole in 20 sec and then find the speed of the train ?
A.87 kmph.
B.97 kmph.
C.72 kmph.
D.144 kmph.
e ) 120 kmphD.
"length = speed * time speed = l / t s = 800 / 20 s = 40 m / sec speed = 40 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 144 kmph answer : d" | null |
Question: if it is 5 : 14 in the evening on a certain day , what time in the morning was it exactly 2 , 880,702 minutes earlier ? ( assume standard time in one location . )
A.5 : 32.
B.5 : 36.
C.5 : 48.
D.5 : 54.
e ) 5 : 58A.
5 : 14 minus 2 , 880,702 must end with 2 , the only answer choice which ends with 2 is a . answer : a . | null |
Question: 4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 14 weavers in 14 days ?
A.40.
B.45.
C.49.
D.53.
e ) 58C.
"1 weaver can weave 1 mat in 4 days . 14 weavers can weave 14 mats in 4 days . 14 weavers can weave 49 mats in 14 days . the answer is c ." | null |
Question: diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 16 gallon of paint . how many statues can she paint ?
A.10.
B.20.
C.28.
D.14.
e ) 19D.
number of statues = all the paint ÷ amount used per statue = 7 / 8 ÷ 1 / 16 = 7 / 8 * 16 / 1 = 112 / 8 = 14 . answer is d . | null |
Question: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes . if the university pays $ 0.40 for every box , and if the university needs 2.4 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ?
A.$ 200.
B.$ 275.
C.$ 510.
D.$ 1,250.
e ) $ 2,550A.
"the volume of each box is 20 * 20 * 12 = 4800 cubic inches . number of boxes = 2 , 400,000 / 4800 = 500 boxes total cost = 500 × $ 0.4 = $ 200 the answer is a ." | null |
Question: if pintu is coded as 79523 in a certain code language , how would you code jumbo in the same language ?
A.13426.
B.14236.
C.13436.
D.14263.
e ) 15263A.
1 2 3 4 5 6 7 8 9 a b c d e f g h i j k l m n o p q r s t u v w x y z sooo . . . jumbo is 13426 . . . answer : a | null |
Question: suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 10 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?
A.4.
B.5.
C.6.
D.12.
e ) none of theseA.
"the part of job that suresh completes in 9 hours = 9 ⁄ 15 = 3 ⁄ 5 remaining job = 1 - 3 ⁄ 5 = 2 ⁄ 5 remaining job can be done by ashutosh in 2 ⁄ 5 × 10 = 4 hours answer a" | null |
Question: in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 3 ohms and y is 5 ohms ?
A.15 / 8.
B.3 / 8.
C.5 / 8.
D.7 / 15.
e ) 8 / 15A.
"1 / r = 1 / x + 1 / y 1 / r = 1 / 3 + 1 / 5 = 8 / 15 r = 15 / 8 the answer is a ." | null |
Question: when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.12510168 ?
A.5.
B.6.
C.10.
D.3.
e ) 8C.
"for the 1 st no . there are 2 digits after decimal for the 2 nd no . there are 9 digits after decimal total no . of decimals = 11 req . no . of digits = ( n - 1 ) = ( 11 - 1 ) = 10 answer : c" | null |
Question: on dividing a number by 68 , we get 269 as quotient and 0 as remainder . on dividing the same number by 67 , what will be the remainder ?
A.0.
B.1.
C.2.
D.3.
e ) 4B.
"number = 269 * 68 + 0 = 18292 67 ) 18292 ( 273 18291 - - - - - - - - 1 required number = 1 . answer : b" | null |
Question: a person want to give his money of $ 4500 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?
A.$ 2000.
B.$ 1500.
C.$ 2500.
D.$ 1800.
e ) $ 1600B.
b ' s share = 4500 * 3 / 9 = $ 1500 answer is b | null |
Question: how many integers between 100 and 180 , inclusive , can not be evenly divided by 3 nor 5 ?
A.39.
B.41.
C.43.
D.45.
e ) 47C.
"the total numbers between 100 and 180 , inclusive , is 81 . 3 * 34 = 102 and 3 * 60 = 180 so the number of multiples of 3 is 27 . 5 * 20 = 100 and 5 * 36 = 180 so the number of multiples of 5 is 17 . however , the multiples of 15 have been counted twice . 15 * 7 = 105 and 15 * 12 = 180 so the number of multiples of 15 is 6 . thus the total number is 81 - 27 - 17 + 6 = 43 . the answer is c ." | null |
Question: what is the least number of squares tiles required to pave the floor of a room 2 m 42 cm long and 1 m 76 cm broad ?
A.88.
B.82.
C.84.
D.44.
e ) 54A.
"length of largest tile = h . c . f . of 242 cm and 176 cm = 22 cm . area of each tile = ( 22 x 22 ) cm 2 . required number of tiles = 242 x 176 / ( 22 ^ 2 ) = 88 . answer : a" | null |
Question: rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 105 . what is the share of rahul ?
A.$ 50.
B.$ 42.
C.$ 60.
D.$ 100.
e ) $ 90B.
"rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 105 * 2 / 5 = $ 42 answer is b" | null |
Question: a number , x is chosen at random from the set of positive integers less than 12 . what is the probability that ( 9 / x ) > x ?
A.1 / 11.
B.2 / 9.
C.2 / 11.
D.2 / 3.
e ) 7 / 9C.
"number x has to be chosen from numbers 1 - 11 ( 9 / x ) > x = > 9 > x ^ 2 = > x ^ 2 - 9 < 0 x can have 2 values only 1 , 2 therefore , probability = 2 / 11 answer c" | null |
Question: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 600 when the rate to profit rises from 5 to 7 percent . find the capital of b ?
A.3999.
B.7799.
C.2500.
D.7500.
e ) 2912D.
"a : b : c = 2 / 3 : 1 / 6 : 1 / 6 = 4 : 1 : 1 x * 2 / 100 * 2 / 3 = 600 b capital = 45000 * 1 / 6 = 7500 . answer : d" | null |
Question: what least number must be subtracted from 427398 so that remaining number is divisible by 15
A.3.
B.5.
C.7.
D.9.
e ) none of theseA.
"explanation : on dividing 427398 by 15 we get the remainder 3 , so 3 should be subtracted answer : option a" | null |
Question: what is the value of 4 ^ 5 + 4 ^ 7 ?
A.4 ^ 12.
B.4 ^ 35.
C.17 ( 4 ^ 5 ).
D.8 ^ 12.
e ) 7 ( 4 ^ 5 )C.
"4 ^ 5 + 4 ^ 7 = 4 ^ 5 ( 1 + 4 ^ 2 ) = 4 ^ 5 * 17 answer c" | null |
Question: if 3 eighth of a number is 141 . what will be the approximately value of 32.08 % of this number ?
A.119.
B.187.
C.181.
D.120.
e ) 891D.
explanation : x * 3 / 8 = 141 = > x = 376 376 * 32.08 / 100 = 120 answer : d | null |
Question: the number of positive integers valued pairs ( x , y ) ssatisfying 4 x - 17 y = 1 and x < = 1000 ( x is less than or equal to 1000 ) is
A.fifty nine.
B.57.
C.55.
D.58.
e ) 60A.
4 x - 17 y = 1 y = ( 4 x - 1 ) / 17 x has to be a positive integer such that 1 < = x < = 1000 ( 4 x - 1 ) is a factor of 17 so that y is also a positive integer so we need to know how many numbers in the set { 37 , 1115 , . . . . , 3999 } are divisible by 17 lets try to observe the pattern 1 . 3 mod 17 = 3 2 . 7 mod 17 = 7 3 . 11 mod 17 = 11 4 . 15 mod 17 = 15 5 . 19 mod 17 = 2 6 . 23 mod 17 = 6 7 . 27 mod 17 = 10 8 . 31 mod 17 = 14 9 . 35 mod 17 = 1 10 . 39 mod 17 = 5 11 . 43 mod 17 = 9 12 . 47 mod 17 = 13 13.51 mod 17 = 0 14 . 55 mod 17 = 4 15 . 59 mod 17 = 8 16 . 63 mod 17 = 12 17 . 67 mod 17 = 16 . . . and after this the remainders will repeat ( this is no co - incidence that the cyclicity is also 17 ) so the right choices are x = 1313 + 1713 + 17 + 17 , . . . . . the number of such numbers is 59 ( highest one being 999 ) a | null |
Question: a can do a piece of work in 4 hours ; b and c together can do it in 2 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?
A.12.
B.9.
C.8.
D.6.
e ) 4E.
"a ' s 1 hour ' s work = 1 / 4 ; ( b + c ) ' s 1 hour ' s work = 1 / 2 ; ( a + c ) ' s 1 hour ' s work = 1 / 2 . ( a + b + c ) ' s 1 hour ' s work = ( 1 / 4 + 1 / 2 ) = 3 / 4 . b ' s 1 hour ' s work = ( 3 / 4 - 1 / 2 ) = 1 / 4 . therefore a alone will take 4 hours to do the work . e" | null |
Question: a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 40 % ?
A.700.
B.882.
C.772.
D.652.
e ) 271A.
"cost price = rs . 500 profit = 40 % of 500 = rs . 200 selling price = cost price + profit = 500 + 200 = 700 answer : a" | null |
Question: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ?
A.25.
B.75.
C.125.
D.150.
e ) 175B.
"( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) has two appearances of 3 ( in 12 ^ 2 ) and no appearances of 5 . thus n must include at least 3 * 5 ^ 2 = 75 the answer is b ." | null |
Question: find the compound interest on $ 56,000 at 20 % per annum for 9 months , compounded quarterly
A.2532.
B.2552.
C.6524.
D.8827.
e ) 9512D.
"principal = $ 56000 ; time = 9 months = 3 quarters ; rate = 20 % per annum = 5 % per quarter . amount = $ [ 56000 x ( 1 + ( 5 / 100 ) ) ^ 3 ] = $ 64827 . ci . = $ ( 64827 - 56000 ) = $ 8827 . answer d ." | null |
Question: the radius of the two circular fields is in the ratio 5 : 4 the area of the first field is what percent greater than the area of the second ?
A.22 %.
B.32 %.
C.34 %.
D.64 %.
e ) 36 %D.
"r = 5 ï € r 2 = 25 r = 4 ï € r 2 = 16 25 ï € â € “ 9 ï € 100 - - - - ? = > 36 % . answer : d" | null |
Question: rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 250 . what is the share of rahul ?
A.$ 50.
B.$ 40.
C.$ 60.
D.$ 100.
e ) $ 90D.
rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 250 * 2 / 5 = $ 100 answer is d | null |
Question: if n is a natural number , then ( 6 n 2 + 6 n ) is always divisible by ?
A.6 only.
B.6 and 12 both.
C.12 only.
D.6 or 12 only.
e ) noneB.
"( 6 n 2 + 6 n ) = 6 n ( n + 1 ) , which is always divisible by 6 and 12 both , since n ( n + 1 ) is always even . b )" | null |
Question: how many numbers from 10 to 46 are exactly divisible by 3 ?
A.13.
B.12.
C.16.
D.17.
e ) 18B.
"12 , 15 , 18 , 21 , 24 , 27 , 30 , 33 , 36 , 39 , 42 , 45 . 12 numbers . 10 / 3 = 3 and 46 / 3 = 15 = = > 15 - 3 = 12 . therefore 12 digits b )" | null |
Question: what is the remainder when 54487 ^ ( 42787035 ) is divided by 5 ?
A.0.
B.1.
C.2.
D.3.
e ) 4D.
"we need to find the units digit of the number . the units digit of powers of seven repeats 7 , 9 , 3 , and 1 cyclically . since 42787035 has the form 4 a + 3 , the units digit is 3 . then the remainder when dividing by 5 is 3 . the answer is d ." | null |
Question: the total number of digits used in numbering the pages of a book having 366 pages is
A.732.
B.990.
C.1098.
D.1305.
e ) 1605B.
"explanation : total number of digits = ( no . of digits in 1 - digit page nos . + no . of digits in 2 - digit page nos . + no . of digits in 3 - digit page nos . ) = ( 1 x 9 + 2 x 90 + 3 x 267 ) = ( 9 + 180 + 801 ) = 990 . answer : b" | null |
Question: the sum of three consecutive numbers is 252 . the greatest among these three number is :
A.45.
B.80.
C.85.
D.55.
e ) 40C.
"let the numbers be x , x + 1 and x + 2 then , x + ( x + 1 ) + ( x + 2 ) = 252 3 x = 252 x = 83 greatest number , ( x + 2 ) = 85 answer : c" | null |
Question: two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 15 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?
A.54.
B.66.
C.80.
D.45.
e ) 96D.
"d 45 it takes 3 hours for the friends to meet ; so the pigeon flies for 3 hours at 18 mph = 45 miles" | null |
Question: how many 3 - digit even numbers are possible such that if one of the digits is 4 , the next / succeeding digit to it should be 7 ?
A.305.
B.5.
C.365.
D.405.
e ) 495B.
470 , 472 , 474 , 476 , and 478 , so total 5 . hence option b . | null |
Question: in a public show 45 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?
A.330.
B.110.
C.120.
D.140.
e ) 150A.
75 % of 600 = 45 / 100 × 600 = 270 therefore , the number of vacant seats = 600 - 270 = 330 . answer : a | null |
Question: if ( 1 / 5 ) ^ m * ( 1 / 4 ) ^ 2 = 1 / ( ( 10 ) ^ 4 ) , then m =
A.4.
B.5.
C.6.
D.3.
e ) 2A.
1 / 5 ^ m * 1 / 4 ^ 2 = 1 / 2 ^ 4 * 5 ^ 4 2 ^ 4 * 5 ^ 4 / 2 ^ 4 = 5 ^ m or 5 ^ 4 = 5 ^ m therefore m = 4 a | null |
Question: two workers completed the painting of a building in 10 days . if they were to paint the building separately , how many days will it take each worker , if one of them can complete it in approximately 2 days earlier than the other .
A.9 and 11.
B.19 and 21.
C.8 and 10.
D.10 and 15.
e ) 10 and 12B.
work = ( a ) ( b ) / ( a + b ) where a and b are the individual times of each entity . here , we ' re told that ( working together ) the two workers would complete a job in 10 days . this means that ( individually ) each of them would take more than 10 days to do the job . answers e , a and c are illogical , since the individual times must both be greater than 10 days . so we can test the values for answers b and d . using the values for answers b and d . . . answer b : ( 19 ) ( 21 ) / ( 19 + 21 ) = 399 / 40 = 9.97 this is a match ( complete it in approximately 2 days earlier than the other ) this is a match final answer : b | null |
Question: frank is 15 years younger then john . in 3 years john will be twice as old as frank . how old will frank be in 4 years ?
A.8.
B.10.
C.12.
D.14.
e ) 16E.
frank is 15 years younger then john - - > f + 15 = j ; in 5 years john will be twice as old as frank ( in 3 year john will be j + 3 years old and frank will be f + 3 years old ) - - > j + 3 = 2 * ( f + 3 ) - - > ( f + 15 ) + 3 = 2 * ( f + 3 ) - - > f = 12 ; in 4 years frank will be 12 + 4 = 16 years old . answer : e . | null |
Question: last year , for every 100 million vehicles that traveled on a certain highway , 50 vehicles were involved in accidents . if 5 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 )
A.800.
B.850.
C.900.
D.500.
e ) 1000E.
"to solve we will set up a proportion . we know that “ 100 million vehicles is to 50 accidents as 5 billion vehicles is to x accidents ” . to express everything in terms of “ millions ” , we can use 5,000 million rather than 5 billion . creating a proportion we have : 100 / 50 = 5,000 / x cross multiplying gives us : 100 x = 2,000 * 50 x = 20 * 50 = 1000 answer : e" | null |
Question: a man sitting in a train which is traveling at 30 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ?
A.50 kmph.
B.82 kmph.
C.62 kmph.
D.65 kmph.
e ) 75 kmphB.
"relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) * ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 30 ) kmph = 82 kmph . answer : 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 72 . what is the total number of students in the school ?
A.72.
B.80.
C.120.
D.40.
e ) 150E.
"explanation : 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 = 72 + 2 / 3 of 72 80 / 100 x = 120 x = 150 . answer : option e" | null |
Question: if 4 x + 3 y = 8 and y - 3 x = 8 , then what is the value of x + 4 y ?
A.1 / 7.
B.16.
C.15.
D.52 / 7.
e ) 60 / 7B.
"4 x + 3 y = 8 . . . equation 1 - 3 x + y = 8 . . . equation 2 adding both the equations x + 4 y = 16 correct answer option b" | null |
Question: mike needs 30 % to pass . if he scored 212 marks and falls short by 28 marks , what was the maximum marks he could have got ?
A.343.
B.677.
C.800.
D.867.
e ) 932C.
"if mike had scored 28 marks more , he could have scored 30 % therefore , mike required 212 + 28 = 240 marks let the maximum marks be m . then 30 % of m = 240 ( 30 / 100 ) × m = 240 m = ( 240 × 100 ) / 30 m = 24000 / 30 m = 800 answer : c" | null |
Question: a man can ride on motorcycle at 50 kmph upward road and 100 kmph downward road . he takes 12 hours to ride motorcycle uphill from lower point a to upper point b and back to a . what is the total distance traveled by him in 12 hours ? he must return back to base point a in remaining time .
A.1000.
B.900.
C.800.
D.400.
e ) 1200C.
upward distance traveled per hour - 50 km , distance traveled after 8 hours = 400 km . he remained with 4 hours travel downward , i . e . distance traveled in remaining 4 hours downward = 400 km so total distance traveled from a to b and back to point a = 400 km upward + 400 km downhill = 800 km ( answer : c ) | null |
Question: 7 machines at a certain factory operate at the same constant rate . if 6 of these machines , operating simultaneously , take 42 hours to fill a certain production order , how many fewer hours does it take all 7 machines , operating simultaneously , to fill the same production order ?
A.3.
B.4.
C.5.
D.6.
e ) 7D.
the total work is 6 * 42 = 252 machine hours the time required for seven machines is 252 / 7 = 36 hours , thus 6 fewer hours . the answer is d . | null |
Question: what number is obtained by adding the units digits of 734 ^ 99 and 347 ^ 83 ?
A.7.
B.8.
C.9.
D.10.
e ) 11A.
the units digit of 734 ^ 99 is 4 because 4 raised to the power of an odd integer ends in 4 . the units digit of 347 ^ 83 is 3 because powers of 7 end in 7 , 9 , 3 , or 1 cyclically . since 83 is in the form 4 n + 3 , the units digit is 3 . then 4 + 3 = 7 . the answer is a . | null |
Question: the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 1 year is
A.s . 9621.
B.s . 6921.
C.s . 8400.
D.s . 6261.
e ) s . 6361C.
"c . i = p ( 1 + r / 100 ) ^ n = 8000 ( 1 + 5 / 100 ) = rs 8400 answer : c" | null |
Question: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 150 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ?
A.90.
B.120.
C.160.
D.360.
e ) 600E.
"if we exclude those cases and take the question at face value , then it seems straightforward . group # 1 = ( did n ' t like , did n ' t understand ) = 150 group # 2 = ( likeunderstood ) = 3 / 4 ( 1 / 4 ) n = 150 n = 600 answer = ( e )" | null |
Question: if x = 4 ^ 16 and x ^ x = 4 ^ k , what is k ?
A.4 ^ 14.
B.4 ^ 16.
C.4 ^ 18.
D.4 ^ 20.
e ) 4 ^ 22C.
"solution : we know that x = 4 ^ 16 which implies x ^ x = ( 4 ^ 16 ) ^ ( 4 ^ 16 ) = 4 ^ ( 16 * 4 ^ 16 ) [ because ( x ^ y ) ^ z = x ^ ( y * z ) ) ] so 4 ^ ( 4 ^ 2 * 4 ^ 16 ) = 4 ^ ( 4 ^ ( 2 + 16 ) ) [ because x ^ a * x ^ b = x ^ ( a + b ) ] therefore x ^ x = 4 ^ ( 4 ^ 18 ) given that x ^ x = 4 ^ k so 4 ^ ( 4 ^ 18 ) = 4 ^ k since the base is same the exponent will also be same therefore k = 4 ^ 18 answer : c" | null |
Question: what is the remainder when 123456789101112131415161718192021222324252627282930313233343536373839404142434481 is divided by 45 ?
A.26.
B.36.
C.16.
D.06.
e ) 40B.
explanation : let ' s call : a = 123456789101112131415161718192021222324252627282930313233343536373839404142434481 = > a = b * 100 + 81 [ with b = 1234567 . . . . . 424344 ] we have : b x 100 is divisible by 45 because : - sum of all digits in b = 1 + 2 + 3 + . . . . + 44 = ( 1 + 44 ) + ( 2 + 43 ) + . . . . + ( 22 + 23 ) ( 22 pairs ) = 22 * 45 = > b divisible for 9 since b is divisible by 9 , b * 100 will be divisible by 9 * 5 = 45 81 divided 45 gives a remainder of 36 therefore , a divided by 45 reminder 36 answer : b | null |
Question: a man can row 5 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and black . how far is the place ?
A.2.25.
B.2.35.
C.2.45.
D.2.55.
e ) 2.65B.
"m = 5 s = 1.2 ds = 5 + 1.2 = 6.2 us = 5 - 1.2 = 3.8 x / 6.2 + x / 3.8 = 1 x = 2.35 . answer : b" | null |
Question: a taxi company charges $ 1.15 for the first quarter of a mile and fifteen cents for each additional quarter of a mile . what is the maximum distance someone could travel with $ 4.90 ?
A.4 miles.
B.4 1 / 4 miles.
C.4 3 / 4 miles.
D.5 1 / 2 miles.
e ) 6 1 / 2 milesE.
if we start out with $ 4.90 and have to spend $ 1.15 for the first quarter - mile , we will have $ 3.75 left to spend on quarter - mile intervals . since $ 3.75 / $ 0.15 = 25 , we can buy 25 more quarter - miles , and will travel 26 quarter miles in all : 26 × 1 / 4 = 6 1 / 2 miles . the correct answer is choice ( e ) . | null |
Question: in a race where 10 cars are running , the chance that car x will win is 1 / 7 , that y will win is 1 / 3 and that z will win is 1 / 5 . assuming that a dead heat is impossible , find the chance that one of them will win .
A.1 / 140.
B.1 / 180.
C.71 / 105.
D.21 / 113.
e ) 57 / 120C.
"required probability = p ( x ) + p ( y ) + p ( z ) ( all the events are mutually exclusive ) . = 1 / 7 + 1 / 3 + 1 / 5 = 71 / 105 answer : c" | null |
Question: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 20 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ?
A.40.
B.80.
C.70.
D.60.
e ) 50B.
"200 men do the rest of the work in 100 - 20 = 80 days 100 men can do the rest of the work in 80 * 200 / 100 = 160 days required number of days = 160 - 80 = 80 days answer is b" | null |
Question: find the cost of fencing around a circular field of diameter 32 m at the rate of rs . 1.50 a meter ?
A.287.
B.132.
C.150.9.
D.158.
e ) 267C.
"2 * 22 / 7 * 16 = 100.6 100.6 * 1 1 / 2 = rs . 150.9 answer : c" | null |
Question: bob wants to run a mile in the same time as his sister . if bob ’ s time for a mile is currently 10 minutes 40 seconds and his sister ’ s time is currently 5 minutes 20 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?
A.3 %.
B.50 %.
C.8 %.
D.10 %.
e ) 12 %B.
"bob ' s time = 640 secs . his sis ' time = 320 secs . percent increase needed = ( 640 - 320 / 640 ) * 100 = 320 / 640 * 100 = 50 % . ans ( b ) ." | null |
Question: how much time does a train 100 metres long running at 72 km / hr take to pass a pole ?
A.7.9 s.
B.2.5 s.
C.5 s.
D.7.6 s.
e ) 7.4 sC.
explanation : 72 km / hr = 72 * 5 / 18 = 20 m / s speed = distance / time ; v = d / t 20 = 100 / t t = 5 s answer : c | null |
Question: sahil purchased a machine at rs 12000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .
A.rs . 22000.
B.rs . 24000.
C.rs . 26000.
D.rs . 27000.
e ) none of theseD.
"explanation : question seems a bit tricky , but it is very simple . just calculate all cost price , then get 150 % of cp . c . p . = 12000 + 5000 + 1000 = 18000 150 % of 18000 = 150 / 100 * 18000 = 27000 option d" | null |
Question: find the simple interest on rs . 450 for 8 months at 5 paisa per month ?
A.277.
B.270.
C.180.
D.266.
e ) 121C.
"i = ( 450 * 8 * 5 ) / 100 = 180 answer : c" | null |
Question: in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 49 as quotient . what is the correct quotient ?
A.0.
B.12.
C.13.
D.20.
e ) 28E.
"12 * 49 = 588 588 % 21 = 28 answer : e" | null |
Question: 54671 - 18456 - 33466 = ?
A.2749.
B.5449.
C.6749.
D.6449.
e ) 6468A.
"a if we calculate we will get 2749" | null |
Question: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 4 : 6 . if 40 % of the toyota bought and 60 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ?
A.66 %.
B.64 %.
C.68 %.
D.69 %.
e ) 52 %E.
"let total no of vehicles bought be 100 , toyota 40 and honda 60 , so total number of suv ' s bought for toyota and honda respectively 40 * 40 / 100 = 16 and 60 * 60 / 100 = 36 so total 52 suv ' s were bought out of 100 vehicles bought . . so required % is 52 % answer : e" | null |
Question: the effective annual rate of interest corresponding to a nominal rate of 12 % per annum payable half - yearly is ?
A.16.06 %.
B.16.07 %.
C.12.36 %.
D.6.09 %.
e ) 6.19 %C.
"amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 6 / 100 ) 2 ] = rs . 112.36 effective rate = ( 112.36 - 100 ) = 12.36 % answer : c" | null |
Question: an association of mathematics teachers has 1600 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 60 percent of the votes cast ?
A.75 %.
B.58 %.
C.42 %.
D.14.5 %.
e ) 19.6 %E.
total umber of members = 1600 number of members that cast votes = 525 since , winning candidate received 60 percent of the votes cast number of votes for winning candidate = ( 60 / 100 ) * 525 = 315 percent of total membership that voted for winning candidate = ( 315 / 1600 ) * 100 = 19.6 % answer e | null |
Question: if n is a prime number greater than 3 , what is the remainder when n ^ 2 is divided by 13 ?
A.0.
B.1.
C.2.
D.13.
e ) 5D.
"there are several algebraic ways to solve this question including the one under the spoiler . but the easiest way is as follows : since we can not have two correct answersjust pick a prime greater than 3 , square it and see what would be the remainder upon division of it by 13 . n = 5 - - > n ^ 2 = 25 - - > remainder upon division 25 by 13 is 12 . answer : d ." | null |
Question: having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.60 at the candy store . what is john ’ s weekly allowance ?
A.$ 2.25.
B.$ 3.00.
C.$ 3.25.
D.$ 3.65.
e ) $ 4.80A.
"x = 3 x / 5 + 1 / 3 * 2 x / 5 + 60 4 x / 15 = 60 x = 225 = $ 2.25 the answer is a ." | null |
Question: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 11 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
A.42.
B.70.
C.140.
D.165.
e ) 385E.
"ans : 385 7 c 1 * 11 c 2 answer e )" | null |
Question: in the year 1990 there are 5000 men 3000 women 2000 boys . in 1994 men are increased by 20 % women are increased by ratio of boys and women ?
A.11000.
B.12000.
C.13000.
D.14000.
e ) 15000C.
total population in year 1990 = 5000 + 3000 + 2000 = 10000 total population in year 1994 = ( ( 5000 * 120 / 100 ) + ( 3000 + ( 3000 * 2 / 3 ) ) + ( 2000 ) ) = 13000 answer : c | null |
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