Aptitude Questions1.
If 2x-y=4 then 6x-3y=?
(a)15
(b)12
(c)18
(d)10
Ans. (b)
2.If x=y=2z and xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6
Ans. (b)
3. (1/10)18 - (1/10)20 = ?
(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these
Ans. (a)
4.Pipe A can fill in 20 minutes and Pipe B in 30 minsand Pipe C canempty the same in 40 mins.If all of them worktogether, find the timetaken to fill the tank
(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these
Ans. (a)
5. Thirty men take 20 days to complete a job working 9hours a day.Howmany hour a day should 40 men work to complete thejob?
(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs
Ans. (b)
6. Find the smallest number in a GP whose sum is 38and product 1728
(a) 12
(b) 20
(c) 8
(d) none of these
Ans. (c)
7. A boat travels 20 kms upstream in 6 hrs and 18 kmsdownstream in 4hrs.Find the speed of the boat in still water and thespeed of thewater current?
(a) 1/2 kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these
Ans. (b)
8. A goat is tied to one corner of a square plot ofside 12m by a rope7m long.Find the area it can graze?
(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m
Ans. (a)
9. Mr. Shah decided to walk down the escalator of atube station. Hefound that if he walks down 26 steps, he requires 30seconds toreach the bottom. However, if he steps down 34 stairshe would onlyrequire 18 seconds to get to the bottom. If the timeis measured fromthe moment the top step begins to descend to thetime he steps offthe last step at the bottom, find out the height ofthe stair way insteps?
Ans.46 steps.
10. The average age of 10 members of a committee isthe same as it was4 years ago, because an old member has been replacedby a youngmember. Find how much younger is the new member ?Ans.40 years.
11. Three containers A, B and C have volumes a, b, andc respectively;and container A is full of water while the other twoare empty. Iffrom container A water is poured into container Bwhich becomes 1/3full, and into container C which becomes 1/2 full, howmuch water isleft in container A?
12. ABCE is an isosceles trapezoid and ACDE is arectangle. AB = 10and EC = 20. What is the length of AE?
Ans. AE = 10.
13. Three cards are drawn at random from an ordinarypack of cards.Find the probability that they will consist of a king,a queen and an ace.
Ans. 64/2210.
14. A number of cats got together and decided to killbetween them999919 mice. Every cat killed an equal number ofmice. Each catkilled more mice than there were cats. How many catsdo you thinkthere were ?Ans. 991.
15. If Log2 x - 5 Log x + 6 = 0, then what would thevalue / values ofx be?
Ans. x = e2 or e3.
16. The square of a two digit number is divided byhalf the number.After 36 is added to the quotient, this sum is thendivided by 2.The digits of the resulting number are the same asthose in theoriginal number, but they are in reverse order. Theten's place ofthe original number is equal to twice the differencebetween itsdigits. What is the number?
Ans. 46
17.Can you tender a one rupee note in such a mannerthat there shallbe total 50 coins but none of them would be 2 paisecoins.?
Ans. 45 one paisa coins, 2 five paise coins, 2 tenpaise coins, and 1twenty-five paise coins.
18.A monkey starts climbing up a tree 20ft. tall. Eachhour, it hops3ft. and slips back 2ft. How much time would it takethe monkey toreach the top?
Ans.18 hours.
19. What is the missing number in this series? 8 214 6 11 ? 14 6 18 12
Ans. 9
20. A certain type of mixture is prepared by mixingbrand A at Rs.9 akg. with brand B at Rs.4 a kg. If the mixture is worthRs.7 a kg., howmany kgs. of brand A are needed to make 40kgs. ofthe mixture?
Ans. Brand A needed is 24kgs.
21. A wizard named Nepo says "I am only three times myson's age. Myfather is 40 years more than twice my age. Togetherthe three of usare a mere 1240 years old." How old is Nepo?
Ans. 360 years old.
22. One dog tells the other that there are two dogs infront of me.The other one also shouts that he too had two behindhim. How many arethey?
Ans. Three.
23. A man ate 100 bananas in five days, each dayeating 6 more thanthe previous day. How many bananas did he eat on thefirst day?
Ans. Eight.
24. If it takes five minutes to boil one egg, how longwill it take toboil four eggs?
Ans. Five minutes.
25. The minute hand of a clock overtakes the hour handat intervals of64 minutes of correct time. How much a day does theclock gain or lose?
Ans. 32 8/11 minutes.
26. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2= 5/9.Ans. x = 3/2 or -3 and y = 3 or -3/2.29. Daal is now being sold at Rs. 20 a kg. During lastmonth its ratewas Rs. 16 per kg. By how much percent should a familyreduce itsconsumption so as to keep the expenditure fixed?
Ans. 20 %.
27. Find the least value of 3x + 4y if x2y3 = 6.
Ans. 10.
28. Can you find out what day of the week was January12, 1979?
Ans. Friday.
29. A garrison of 3300 men has provisions for 32 days,when given at arate of 850 grams per head. At the end of 7 days areinforcementarrives and it was found that now the provisions willlast 8 daysless, when given at the rate of 825 grams per head.How, many more mencan it feed?
Ans. 1700 men.
30. From 5 different green balls, four different blueballs and threedifferent red balls, how many combinations of ballscan be chosentaking at least one green and one blue ball?
Ans. 3720.
31. Three pipes, A, B, & C are attached to a tank. A &B can fill itin 20 & 30 minutes respectively while C can empty itin 15 minutes.If A, B & C are kept open successively for 1 minuteeach, how soonwill the tank be filled?
Ans. 167 minutes.
32. A person walking 5/6 of his usual rate is 40minutes late. What ishis usual time?
Ans. 3 hours 20 minutes.
36.For a motorist there are three ways going from CityA to City C. Byway of bridge the distance is 20 miles and toll is$0.75. A tunnelbetween the two cities is a distance of 10 miles andtoll is $1.00 forthe vehicle and driver and $0.10 for each passenger. Atwo-lanehighway without toll goes east for 30 miles to city Band then 20miles in a northwest direction to City C.
1. Which is the shortest route from B to C
(a) Directly on toll free highway to City C
(b) The bridge
(c) The Tunnel
(d) The bridge or the tunnel
(e) The bridge only if traffic is heavy on the tollfree highway
Ans. (a)
2. The most economical way of going from City A toCity B, in terms oftoll and distance is to use the(
a) tunnel
(b) bridge
(c) bridge or tunnel
(d) toll free highway
(e) bridge and highway
Ans. (a)
3. Jim usually drives alone from City C to City Aevery working day.His firm deducts a percentage of employee pay forlateness. Whichfactor would most influence his choice of the bridgeor the tunnel ?
(a) Whether his wife goes with him
(b) scenic beauty on the route
(c) Traffic conditions on the road, bridge and tunnel
(d) saving $0.25 in tolls
(e) price of gasoline consumed in covering additional10 miles on thebridge
Ans. (a)4.
In choosing between the use of the bridge and thetunnel the chieffactor(s) would be:
I. Traffic and road conditions
II. Number of passengers in the car
III. Location of one's homes in the center oroutskirts of one of thecities
IV. Desire to save $0.25
(a) I only(b) II only(c) II and III only(d) III and IV only(e) I and II only
Ans. (a)
34.The letters A, B, C, D, E, F and G, not necessarilyin that order,stand for seven consecutive integers from 1 to 10D is 3 less than AB is the middle termF is as much less than B as C is greater than DG is greater than F1. The fifth integer is
(a) A
(b) C
(c) D
(d) E
(e) F
Ans. (a)
2. A is as much greater than F as which integer isless than G
(a) A
(b) B
(c) C
(d)D
(e)E
Ans. (a)
3. If A = 7, the sum of E and G is
(a) 8
(b) 10
(c) 12
(d) 14
(e) 16
Ans. (a)
4. A - F = ?
(a) 1
(b) 2
(c) 3
(d) 4
(e) Cannot be determined
Ans. (a)
5. An integer T is as much greater than C as C isgreater than E. Tcan be written as A + E. What is D?
(a) 2
(b) 3
(c) 4
(d) 5
(e) Cannot be determined
Ans. (a)
6. The greatest possible value of C is how muchgreater than thesmallest possible value of D?
(a) 2
(b) 3
(c) 4
(d) 5
(e) 6
Ans. (a)
35.1. All G's are H's2. All G's are J's or K's3. All J's and K's are G's4. All L's are K's5. All N's are M's6. No M's are G's1. If no P's are K's, which of the following must betrue?
(a) All P's are J's
(b) No P is a G
(c) No P is an H
(d) If any P is an H it is a G
(e) If any P is a G it is a J
Ans.(a)
2. Which of the following can be logically deducedfrom the conditionsstated?
(a) No M's are H's
(b) No M's that are not N's are H's
(c) No H's are M's
(d) Some M's are H's
(e) All M's are H's
Ans. (a)
3. Which of the following is inconsistent with one ormore of theconditions?
(a) All H's are G's
(b) All H's that are not G's are M's
(c) Some H's are both M's and G's
(d) No M's are H's(e) All M's are H's
Ans. (a)
4. The statement "No L's are J's" is
I. Logically deducible from the conditions stated
II. Consistent with but not deducible from theconditions stated
III. Deducible from the stated conditions togetherwith the additionalstatement "No J's are K's"
(a) I only
(b) II only
(c) III only
(d) II and III only
(e) Neither I, II nor III
Ans. (a)