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Aptitude 17

1) Albert and Fernandes have two leg swimming race.

a. Both start from opposite ends of the pool.b. On the first leg, the boys pass each other at 18 m from the deep end of

the pool.

c. During the second leg they pass at 10 m from the shallow end of the

pool.

d. Both go at constant speed but one of them is faster.

e. Each boy rests for 4 seconds at the end of the first leg.

What is the length of the pool?

2) A man covers 28 steps in 30 seconds. Next time he decided to move fast and

covered 34 steps in 18 seconds. How many steps are there on the escalator

when stationary?

3) One sixth of my life, said my boss, I spent as a child, next one-twelth as an

old boy, one-seventh & 5 more years in Politics & socialization. This brought

me upto when Jimmy was born, Jimmy was elected for the Governor four

years ago, when he was half my present age. How old is my boss ?

4) Alice and Liu had some berries. The total of Alice's berries and square of

number of berries with Liu is 62. The total of Liu's berries and square of

number of berries with Alice is 176. How many berries does each of them

have?

5) An orange glass has orange juice and white glass has apple juice both of equal

volumes. 50ml of the orange juice is taken and poured into the apple juice.

50ml from the white glass is poured into the orange glass. Of the two

quantities, the amount of apple juice in the orange glass and the amount of

orange juice in the white glass, which one is greater and by how much?

6) A mathematician has x apples .if he arranges them in rows of 3 one will be left,

the same is the case, when arranged in rows of 5,7 and 9 . But when he

arranged them in rows of 11 none will be left. Find the number of apples.

7) Half of the money in my purse, I spent on shopping & gave 1 $ to a beggar.

Then spent half the remaining on lunch and gave 2 $ to the waiter as tips.

Finally I purchased some books worth 3 $ more than half of what remained.

That left me with only 1 $ in my purse. How much money I had initially.

8) Mrs. Barbinger bought some plates on Saturday for $ 1.30, when everything

was sold two cents below the regular price. She exchanged those plates on

Monday, at their regular price for cups and saucers. Cost of one plate equals

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cost of one cup & saucer. She returned with 16 more articles than before. Since

saucer costs only 3 cents each, she bought 10 more saucers than cups. How

many cups could she have bought on Saturday.

9) There are 2 guards Bal and Pal walking on the side of a wall of a warehouse

(120m X 155m) in opposite directions. They meet at a point and Bal says to PalSee you again in the other side". After a few moments of walking Bal decides

to go back for a smoke but he changes his direction again to his previous one

after 10 meters of walking in the other(opposite) direction remembering that

Pal will be waiting for to meet. If Bal and Pal walk 8 and 11 feet respectively

at the same time , how much distance each would have traveled before meeting

again.

10) Radha, Geeta & Revathi went for a picnic. After a few days they forgot the

date, day and month on which they went to picnic. Radha said that it was on

Thursday, May 8 and Geeta said that it was Tuesday, May 10. Revathi said

Friday Jun 8. One of them says one correct. One says one wrong. and one wascompletely wrong of date, Month and day. If April 1st is Tuesday, what are the

right day, date and month?

11) Five persons A, B, C, D and E were traveling in a car. There were two ladies in

the group. Of the three who knew car driving, one was a lady. There was one

couple, of which only the wife could drive the car. A is the brother of D. B wife

of D, drove at the beginning. E drove at the end. Who is the other Lady?

12) 500 men are arranged in an array of 10 rows and 50 columns according to

their heights. Tallest among each row of all are asked to fall out.

And the shortest among them is A. Similarly after resuming that to their

original positions that the shortest among each column are asked to fall out.

And the tallest among them is B. Now who is taller among A and B?

13) 5 athletes A, B, C, D, and E participated in Olympics. they gave the following

statements:

A:" I am never last".

B: c is always 3.

C: D is never first.

D: A is always behind E.

E: I am second.

Due to modesty or some other reason, the persons who won the gold and

silver medals lied. The three worst runners told the truth. Write the

arrangement.

14) A said if seventy five chickens are sold from what we have now the feed will

come for extra 20 days but if we buy additional 100 chickens then feed will

come for 15 days less from the normal Find the no. of chickens.

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15) Andrew, Bernard and Claude are friends they went by cycle and wore a hat.

Each one wore a hat of one friend and rode the bicycle of another friend.

Andrew is wearing Claude's hat. Find who is riding Andrew's cycle.

16) AB EF JK QR?

17) ACD EGL IKT MOB?

18) AC CG GO OE?

19) AE BH CM DU?

20) AD DP PL LV?

21) A man sold two cows for Rs. 210. If he made a 10% loss on one cow and 10%

profit on the other cow, and overall made a profit of 5%, how much was each

cow worth initially?

22) If you have two different kinds of socks, one black and the other white in a

box, and you have to pull them out blindfolded, and you know the number of

socks you have to pull out to definitely draw a pair is the same as the number

of socks you have to pull out to definitely have different kinds of socks, and

there is no difference between left foot and right foot socks, how many socks

are there in the box.

23) 364, 361, 19, 16, 4, 1, ___

24) Six men decide to cut logs in 1/2 yards for a fire. The men are A, B, C, D, E, F

(these are all their first names). They work in pairs. with A, C and E beingleaders of each pair. A and B cut 1 yard logs, C and D cut 2 yard logs and E

and F cut 1 yard logs. J and K manage to make 26 logs, L and M 27 logs and N

and O 28 logs (these are all their last names). The headmaster congratulates J,

L and N on their fine leadership. What is B's last name?

25) 'P' loves cycling and goes everyday in the evening. Once he made the

following observation. When going with the wind he could reach a place

in 3 minutes. When coming on the return trip against the air it took

him 4 minutes. The down and up speed of 'P' and the wind was uniform,

what would be the time taken when there is no wind(only one way).

26) 3 6 13 26 33 66 ------

27) 1, 2, 3, 5, 16, -------

28) As the elevator is not functioning, I am coming down in a stairs. After 7 steps

down, I found my friend standing down at the end of the stairs and he is

coming up. We both are walking in our own speed and after greeting we

crossed each other and when there were 4 more steps to get down, I found that

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my friend completely crossed the stairs. For each of my step, my friend took 2

steps. Then how many steps were there in the stairs?

29) The length of a river trench is 4100 inches. A bridge is there above the river.

One seventh of the length of that bridge falls on the left of the river and one

eighth of the bridge falls on right of the river. Then what is the length of thatbridge?

30) A software engineer starts from home at 3 PM for evening walk. He walks at a

speed of 4 Km/h on level ground and then at a speed of 3 Km/h on the uphill

and then down the hill at a speed of 6 Km/h to the level ground and then at a

speed of 4 Km/h to the home at 9 pm. What is the distance on one way?

31) A town tower clock is back by 1 hour. A talks with B at night.

B says : We meet 11 hours after the tower clock strikes for 10 seconds

duration.

A asks : I hope the duration for each gap is 1 second.B says : Yes, that's true.

When do they actually meet, if it is 10 pm in the Tower clock now?

32) In the construction of a house these were required

Designer and Painter equals Rs. 1100

Painter and Plumber equals Rs. 1700

Plumber and Electrician equals Rs. 1100

Electrician and Constructor equals Rs. 3200

Constructor and Mechanic equals Rs. 5300

Mechanic and Painter equals Rs. 3200

What are their individual costs?

33) Find the missing number: 0 6 24 X 120

34) There are two systems of measuring temperature like Celsius & Fahrenheit. If

36 in A equals 14 in B and 87 in A equals 133 in B, at what temp will the two

be equal?

35) Water is continuously poured from a reservoir to a locality at the steady rate

of 10,000 liters per hour. When delivery exceeds demand the excess water is

stored in a tank. If the demand for 8 consecutive three-hour periods is

10000,10000,45000,25000,40000,15000,60000 and 35000 liters respectively,

what will be the minimum capacity required of the water tank(in 1000 litres)

to meet the demand?

36) Don and his wife each receive an 8 percent annual raise. If don receives a raise

of Rs.800 and his wife receives a raise of Rs. 840, what is the difference

between their annual incomes after their raises?

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37) What is the area of a circle having the same perimeter as that of a square

whose area is 121

38) 18 kg of fresh grapes have 90% water. Dry grapes have 20% water. The

weight of the dry grapes is?

39) A man said to woman your only brother's son is my wife's brother". How is

the woman related to the man's wife?

40) There are nine cards arranged in three rows and three columns. Each row

contains at least one green card. There are three yellow corners. Red is either

in the first row or second row. There are 2 greens in the 3rd column and 2

blues in the second row. What is the arrangement of the cards?

41) Certain no. of men can finish a piece of work in 10 days. If however there were

10 men less it will take 10 days more for the work to be finished. How many

men were there originally?

42) There is a certain four digit number whose fourth digit is twice the first digit.

Third digit is three more than second digit. Sum of the first and fourth digits is

twice the third digit. What is that number?

43) A car starts from A towards B with some velocity. Due to some problem in the

engine, after traveling 30km, the car goes with 4/5 th of its actual velocity and

reaches B 45 minutes later to the actual time. If the car engine had failed after

traveling 45km, the car would have reached the destination B 36 minutes later

to the actual time , what is the initial velocity of car and what is the distance

between A and B in km ?

44) The greatest number which exactly divides 105, 1001 and 2534 is

45) A lady said, If you reverse my age, the figure represents my husbands age.

Of course, he is senior to me. Also the difference between our age is one-

eleventh of the sum. What is the age of the Lady and her husband?

46) In the 4 digits 1,2,3,4 how many 4 digit numbers are possible which are

divisible by 4? Repetitions are allowed

47) Value of one commodity is increased by 25% in every odd year and it is

decreased by 20% every even year, then what will be its value be after exactly

10 year?

48) Two trains run between the station Bangalore and Mumbai each day and

reach the other station on the 3rd day. It starts at 9.00 am and reaches the

other station at 9.30 am on the third day. Find out how many opposite

direction trains will cross each other.

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49) Two men are going along a rail track in the opposite direction. One goods

train crossed the first person in 20 sec. After 10 minutes the train crossed the

other person who is coming in opposite direction in 18 seconds. After the train

has passed, when the two persons will meet?

50) Following are the statements of three of the participants in a race. One among

them is the winner of the race. One of them is a Sororrean, who always tells

the truth, one of them is a Nororrean, who always lies, & the third one is

Midrorrean, who lies alternately. Who is Sororrean, who is Nororrean, & who

is Midrorrean?

A: i) C obstructed my way, & hence I lost.

ii) C always tells the truth.

iii) C won the race.

B: i) C is not a Nororrean.ii) A won the race.

C: i) B won the race.

ii) I didn't obstruct the way of A, because of which he lost.