Aptitude Questions Wipro-Campus-Placement

A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?
Ans :1700 men.

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Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
Ans = 3/2 or -3 and y = 3 or -3/2..

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The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose?
Ans :32 8/11 minutes..

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A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?
Ans :8.

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A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?
Ans :360 Years old.

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A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?
Ans :Brand A needed is 24kgs..

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What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12
Ans :9.

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Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins.?
Ans :45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins..
What is the angle between the two hands of a clock when time is 8:30
Ans :75(approx).

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If there are 1024*1280 pixels on a screen and each pixel can have around 16 million colors. Find the memory required for this?
Ans :4MB.

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A boy has Rs 2. He wins or loses Re 1 at a time If he wins he gets Re 1 and if he loses the game he loses Re 1. He can loose only 5 times. He is out of the game if he earns Rs 5. Find the number of ways in which this is possible?
Ans :16.

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How many 1's are there in the binary form of 8*1024 + 3*64 + 3
Ans :4.

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A man leaves office daily at 7pm A driver with car comes from his home to pick him from office and bring back home
One day he gets free at 5:30 and instead of waiting for driver he starts walking towards home. In the way he meets the car and returns home on car He reaches home 20 minutes earlier than usual.
In how much time does the man reach home usually??
Ans :1Hr 20Min.

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In objective test a correct ans score 4 marks and on a wrong ans 2 marks are subtracted, a student score 480 marks from 150 question. how many ans were correct?
Ans :130.

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5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.
Ans :7.

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If an item costs Rs.3 in '99 and Rs.203 in '00.What is the % increase in price?
Ans :200/3 %.

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A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?
Ans :3cm.

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Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train ?
Ans :75m.

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If a sum of money compound annually amounts of thrice itself in 3 years. In how many years will it become 9 times itself.
Ans :6 Years.

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A certain number 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?
Ans :110.

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If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
Ans :30%.

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There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?
Ans :1:2.

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City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?
Ans :130 years.

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20% of a 6 litre solution and 60% of 4 litre solution are mixed. What percentage of the mixture of solution
Ans :36%.

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Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel. What is the distance?
Ans :315 feet..

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Each side of a rectangle is increased by 100% .By what percentage does the area
increase?
Ans :300%.

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An equilateral triangle of sides 3 inch each is given. How many equilateral triangles of side 1 inch can be formed from it?
Ans :9.

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A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay?
Ans :6%.

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If the total distance of a journey is 120 km .If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey?
Ans :48kmph.

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A worker is paid Rs.20/- for a full days work. He works 1,1/3,2/3,1/8.3/4 days in a week. What is the total amount paid for that worker ?
Ans :57.50.

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To 15 lts of water containing 20% alcohol, we add 5 lts of pure water. What is % alcohol.
Ans :15%.

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The cost of an item is Rs 12.60. If the profit is 10% over selling price what is the selling price ?
Ans :Rs. 13.86/-.

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If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST
Ans :1:2.

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There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles
Ans :3 hours..

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There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square.
Ans :11/14.

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The price of a product is reduced by 30% . By what percentage should it be increased to make it 100%
Ans :42.857%.

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1/3 of girls , 1/2 of boys go to canteen .What factor and total number of classmates go to canteen.
Ans :Cannot be determined..

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What is the selling price of a car? If the cost of the car is Rs.60 and a profit of 10% over selling price is earned
Ans :Rs 66/-.

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Of Abdul, Binoy, and Chandini:
a)Each member belongs to the Tee family whose members always tell the truth or to the El family whose members always lie.
b)Abdul says "Either I belong or Binoy belongs to a different family from the other two."
Whose family do you name of?
Ans :Binoy's family–El..

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Three piles of chips–pile I consists one chip, pile II consists of chips, and pile III consists of three chips–are to be used in game played by Anita and Brinda.The game requires:
a)That each player in turn take only one chip or all chips from just one pile.
b)That the player who has to take the last chip loses.
c)That Anita now have her turn.
From which pile should Anita draw in order to win?
Ans :Pile II.

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Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament.Of the three games played:
a)In only the first game werethe two players married to each other.
b)The men won two games and the women won one game.
c)The Ayes won more games than the Bees.
d)Anyone who lost game did not play the subsequent game.
Who did not lose a game?
Ans :Mrs.Bee did not lose a game..

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One of Mr. Horton,his wife,their son,and Mr. Horton's mother is a doctor and another is a lawyer.
a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.
b)If the doctor is a woman, then the doctor and the lawyer are blood relatives.
c)If the lawyer is a man, then the doctor is a man.
Whose occupation you know?

Ans :Mr. Horton : he is the doctor..

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One of Mr. Horton,his wife,their son,and Mr. Horton's mother is a doctor and another is a lawyer.
a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.
b)If the doctor is a woman, then the doctor and the lawyer are blood relatives.
c)If the lawyer is a man, then the doctor is a man.
Whose occupation you know?

Ans :Mr. Horton : he is the doctor..

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I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km
Ans :37 1/2
Explanation : Time reqd for the first 60 km = 120 min.; Time reqd for the second 60 km = 72 min.; Total time reqd = 192 min Avg speed = (60*120)/192 = 37 1/2
.

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Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.
Ans :8, 12, 5, 20
Explanation: a + b + c + d =45; a+2 = b-2 = 2c = d/2; a=b-4; c = (b-2)/2; d =2(b-2); b-4 + b + (b-2)/2 + 2(b-2) = 45;
.

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How big will an angle of one and a half degree look through a glass that magnifies things three times?
Ans :1 1/2 degrees
Explanation : The magnifying glass cannot increase the magnitude of an angle..

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If time at this moment is 9 P.M., what will be the time 23999999992 hours later?
Ans :1 P.M.
24 billion hours later, it would be 9 P.M. and 8 hours before that it
would be 1 P.M..

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Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage a son was born who died four years before his father at half his final age. How old is Diophantus?
Ans :84 years
Explanation : x/6 + x/12 + x/7 + 5 + x/2 + 4 = x.

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With just six weights and a balance scale, you can weigh any unit number of kgs from 1 to 364. What could be the six weights?
Ans :1, 3, 9, 27, 81, 243 (All powers of 3).

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A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in
volume?
Ans :16/3 inches
Explanation : Let x be the amount of increase. The volume will increase by the same amount if the radius increased or the height is increased. So, the effect on increasing height is equal to the effect on increasing the radius.
i.e., (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3
Solving the quadratic equation we get the x = 0 or 16/3. The possible increase would be by 16/3 inches.
.

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If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ …… upto infinity.
Ans :4
Explanation : Let x = s(12+s(12+s(12+….. ) We can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation, we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4.
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