L & T ,Mumbai Aptitude Test Question Question Paper -1
1. Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete the job? a! " hrs b! # 1$2 hrs c! # hrs d! 9 hrs %ns. b! 2. &ind the smallest number in a '( whose sum is )" and product 1#2" a! 12 b! 20 c! " d! none o* these %ns. c! ). % boat tra+els 20 kms k ms upstream in , hrs and 1" kms k ms downstream in 4 hrs. &ind the speed o* the boat in still water and the speed o* the water current? a! 1$2 kmph b! #$12 kmph c! - kmph d! none o* these %ns. b! 4. % goat is tied to one corner o* a suare plot o* side 12m by a rope #m long. &ind the area it can gra/e? a! )".- s.m b! 1-- s.m c! 144 s.m d! 19.2- s.m %ns. a!
-. r. hah decided to walk down the escalator o* a tube station. He *ound that i* he walks down 2, steps he reuires )0 seconds to reach the bottom. Howe+er i* he steps down )4 stairs he would only reuire 1" seconds to get to the bottom. 3* the time is measured *rom the moment the top step begins to descend to the time he steps o** the last step at the bottom *ind out the height o* the stair way in steps?
%ns. 4, steps. ,. The a+erage age o* 10 members o* a committee is the same as it was 4 years ago because an old member has been replaced by a young member. &ind how much younger is the new member ?
%ns. 40 years.
#. %56 is an isosceles trape/oid and %576 is a rectangle. % 8 10 and 65 8 20. hat is the length o* %6?
%ns. %6 8 10. ". 3n the gi+en *igure (% and ( are tangents to the circle at % and respecti+ely and the chord 5 is parallel to tangent (%. 3* %5 8 , cm and length o* the tangent %( is 9 cm then what is the length o* the chord 5?
%ns. 5 8 4 cm. 9. Three cards are drawn at random *rom an ordinary pack o* cards. &ind the probability that they will consist o* a king a ueen and an ace.
%ns. ,4$2210. 10. % number o* cats got together and decided to kill between them 999919 mice. 6+ery cat killed an eual number o* mice. 6ach cat killed more mice than there were cats. How many cats do you think there were ?
%ns. 991.
11. hich is the shortest route *rom to 5 a! 7irectly on toll *ree highway to 5ity 5 b! The bridge c! The Tunnel d! The bridge or the tunnel e! The bridge only i* tra**ic is hea+y on the toll *ree highway %ns. a! 12. The most economical way o* going *rom 5ity % to 5ity in terms o* toll and distance is to use the a! tunnel b! bridge c! bridge or tunnel d! toll *ree highway e! bridge and highway %ns. a! 1). :im usually dri+es alone *rom 5ity 5 to 5ity % e+ery working day. His *irm deducts a percentage o* employee pay *or lateness. hich *actor would most in*luence his choice o* the bridge or the tunnel ? a! hether his wi*e goes with him b! scenic beauty on the route c! Tra**ic conditions on the road bridge and tunnel d! sa+ing ;0.2- in tolls e! price o* gasoline consumed in co+ering additional 10 miles on the bridge %ns. a! 14. &rom - di**erent green balls *our di**erent blue balls and three di**erent red balls how many combinations o* balls can be chosen taking at least one green and one blue ball? %ns. )#20. 1-. 3* <8y82/ and
1,. 1$10!1" = 1$10!20 8 ? a! 99$1020 b! 99$10 c! 0.9 d! none o* these %ns. a! 1#. (ipe % can *ill in 20 minutes and (ipe in )0 mins and (ipe 5 can empty the same in 40 mins.3* all o* them work together *ind the time taken to *ill the tank a! 1# 1$# mins b! 20 mins c! " mins d! none o* these %ns. a! 1". hat is the missing number in this series? " 2 14 , 11 ? 14 , 1" 12
%ns. 9 19. % certain type o* mi
s.9 a kg. with brand at >s.4 a kg. 3* the mis.# a kg. how many kgs. o* brand % are needed to make 40kgs. o* the mi
%ns. rand % needed is 24kgs. 20. % wi/ard named epo says @3 am only three times my sonAs age. y *ather is 40 years more than twice my age. Together the three o* us are a mere 1240 years old.@ How old is epo? %ns. ),0 years old. 21. Bne dog tells the other that there are two dogs in *ront o* me. The other one also shouts that he too had two behind him. How many are they? %ns. Three.
21. % man ate 100 bananas in *i+e days each day eating , more than the pre+ious day. How many bananas did he eat on the *irst day? %ns. 6ight. 22. 3* it takes *i+e minutes to boil one egg how long will it take to boil *our eggs? %ns. &i+e minutes. 2). The minute hand o* a clock o+ertakes the hour hand at inter+als o* ,4 minutes o* correct time. How much a day does the clock gain or lose? %ns. )2 "$11 minutes. 24. ol+e *or < and yC 1$< = 1$y 8 1$) 1$<2 D 1$y2 8 -$9.
%ns. < 8 )$2 or =) and y 8 ) or =)$2. 2-. 7aal is now being sold at >s. 20 a kg. 7uring last month its rate was >s. 1, per kg. y how much percent should a *amily reduce its consumption so as to keep the e
%ns. 1#00 men. 29. Three pipes % F 5 are attached to a tank. % F can *ill it in 20 F )0 minutes respecti+ely while 5 can empty it in 1- minutes. 3* % F 5 are kept open successi+ely *or 1 minute each how soon will the tank be *illed? %ns. 1,# minutes.
)0. % person walking -$, o* his usual rate is 40 minutes late. hat is his usual time? %ns. ) hours 20 minutes. )1. The fifth integer is a! % b! 5 c! 7 d! 6 e! & %ns. a! )2. A is as much greater than F as which integer is less than G a! % b! c! 5 d! 7 e! 6 %ns. a! )3. If A = 7, the sum of E and G is a! " b! 10 c! 12 d! 14 e! 1, %ns. a! )4. A F = ! a! 1 b! 2 c! ) d! 4 e! 5annot be determined %ns. a!
