Kalpesh Sharma

***. 15 men take 21 days of 8 hrs. Each does a piece of work. How many days of 6 hrs each would it take for 21 women if 3 women do as much work as 2 men?

Ans. 30

Ex. One hour’s work = 1/(15*21*8)
Assume X days requires for women to do work.
One hour’s work = 1/(21*X*6)
Comparing one hour’s work, we get X=20 days.
But 2 men work = 3 women work so X = (20*3)/2 = 30

***. 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. 50%

***. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?

Ans. 167 minutes. Ex. In 3 minutes it fills 0.017 so in 165 minutes it fills 0.935 and then in 2 minutes A and B fills 0.05+0.033, so it full.

***. 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
Ex. area of inner circle = PI*r*r
Area of outer circle = PI*a*a where a=root(2)*r

***. A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?

Ans. 22½days

Ex. Let, B takes X days to do a work. So A takes X-60 days.
Now A works thrice, so 3(X-60) = X. By solving we get X=90

A works in 1 day = 1/30
B works in 1 day = 1/90
If they work combine, work done in 1 day = 1/30+1/90 = 4/90
So, the work will be completed in 90/4 days.

***. It takes Mr. Kathie y hours to complete typing a manuscript. After 2 hours, he was called away. What fractional part of the assignment was left incomplete?

Ans. (y – 2) / y

Ex. To type a manuscript Kathie took y hours.
Therefore his speed in typing = 1/y.
He was called away after 2 hours of typing.
Therefore the work completed = 1/y * 2.
Therefore the remaining work to be completed = 1 – 2/y.
(i.e.) work to be completed = (y-2)/y

***. There are 3 persons Allan, Bell, and Crag. Allan lent car to Bell and Crag as many as they had already. After some time Bell gave as many cars to Allan and Crag as many as they have. After sometime Crag did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.

Ans. Allan had 39 cars, Bell had 21 cars and Crag had 12 cars.

Ex. Allan Bell Crag

Finally 24 24 24
Before Crag’s transaction 12 12 48
Before Bell’s transaction 6 42 24
Before Allan’s transaction 39 21 12

***. It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?

Ans. 30 days.

Ex. Before:
One day work = 1 / 20
One man’s one day work = 1 / (20 * 75)
Now:
No. Of workers = 50
One day work = 50 * 1 / (20 * 75)

The total no of days required to complete the work = (75 * 20) / 50 = 30

***. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. What is the amount paid by him?

Ans. Cost price of horse = Rs. 400 & the cost price of cart = 200.

***. A contractor agreeing to finish a work in 150 days employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by __ each working now for 10 hours daily, the work can be completed in time.

Ans. 150 men.

Ex. One day’s work = 2 / (7 * 90)
One hour’s work = 2 / (7 * 90 * 8)
One man’s work = 2 / (7 * 90 * 8 * 75)

The remaining work (5/7) has to be completed within 60 days, because the total number of days allotted for the project is 150 days.

So we get the equation (2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7 where x is the number of men working after the 90th day.

We get x = 225
Since we have 75 men already, it is enough to add only 150 men.

All Aptitude Question's Answer below mentioned.

1. I bought a car with a peculiar 5 digit numbered license plate that on reversing could still be read. On reversing value is increased by 78633.Whats the original number if all digits were different?

2. A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there?

3. No. of animals is 11 more than the no. of birds. If the no. of birds were the no. of animals and no. of animals were the no. of birds( ie., interchanging no.s of animals and birds.), the total no. of legs get reduced by one fifth (1/5). How many no. of birds and animals were there?

4. Light glows for every 13 seconds. How many times did it glow between 1:57:58 and 3:20:47 am?

5. There are six boxes containing 5, 7, 14, 16, 18, 29 balls of either red or blue in color. Some boxes contain only red balls and others contain only blue.One sales man sold one box out of them and then he says, " I have the same number of red balls left out as that of blue ". Which box is the one he sold out?

6. There is a 4-inch cube painted on all sides. This is cut down into of 1-inch cubes. What is the no of cubes, which have no pointed sides?

7. There is an element, which triplicates in every hour. Each of these 3
items intern reproduce exactly 3 other items. If a single compound is kept in a
container at noon and the container is full by midnight. After how many hours is the container 1/3 full?

8. The average age of 10 members of a committee is the same as it was 4 years ago, because a young member has replaced an old member. Find how much younger is the new member?

9. 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?

10. A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. how much time would it take the monkey to reach the top?

11. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

12. There is a circle whose diameter is equal to the length of a chessboard. If that is put on the chessboard how many complete squares will be in the circle.

13. What is the sum of the first 25 natural odd numbers?

14. How big will an angle of 1.5 degree look through a glass that magnifies things three times?

15. A fast typist can type some matter in 2 hours and a slow typist can type it in 3 hours. If both types combine, in how much time will they finish?

16. A rectangular plate with length 8 inches, breadth 11 inches and thickness 2 inches is available. What is the length of the circular rod with diameter 8 inches and equal to the volume of the rectangular plate?

17. What is a percent of b divided by b percent of a?

Answers :

Ans 1. Only 0 1 6 8 and 9 can be read upside down. The answer as 10968
Ans 2. 4 boys and 3 girls.
Ans 3. birds: 11,animals: 22
Ans 4. 383 + 1 = 384
Ans 5. Total no of balls = 89 and (89-29 /2) = 60/2 = 30 and also 14 + 16 = 5 + 7 + 18 = 30
Ans 6. 8
Ans 7. 11:00pm
Ans 8.40 years.
Ans 9. Eight.
Ans 10.18 hours.
Ans 11. 3 hours, 20 minutes. Ex. Solve x*t = (5/6)*x*(t+40)
Ans 12. 32.
Ans 13. 625 Ex. The sum of the first n natural odd Nos. is square (n).
Ans 14. 1.5 degrees (the glass cannot increase the magnitude of an angle.)
Ans 15.1 hr 12 min
Ex. The fast typist's work done in 1 hr = 1/2
The slow typist's work done in 1 hr = 1/3
If they work combine, work done in 1 hr = 1/2+1/3 = 5/6
So, the work will be completed in 6/5 hours. i.e., 1+1/5 hours = 1hr 12 min
Ans 16.3.5 inches
Ex. Volume of the circular rod (cylinder) = Volume of the rectangular plate
(22/7)*4*4*h = 8*11*2 h = 7/2 = 3.5
Ans 17. 1 Ex. a percent of b divided by b percent of a: ((a / 100)*b)/(b/100) * a))=1

**** Please Fill up below Series.
S M T W T _ _

**** Write Anything Here __________________

**** formula true with one stroke 5 + 5 + 5 = 550

Answer :

**** S M T W T F S
Sunday Monday Tuesday Wenseday Thirsday Friday Saturday

**** Anything

**** 5 4 5 + 5 =550

*** A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together?

Ans. 8/9 days

*** 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

Ex. Length of faster train = Distance traveled by faster train in 15 sec -
Distance traveled by slower train in 15 sec

*** Two cars are 15 Km apart. One is turning at a speed of 50kmph and the other at 40kmph. How much time will it take for the two cars to meet?

Ans. 3/2 hours

*** 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. Rajesh 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 Rajesh light the two candles?

Ans. 3 hours. Ex. (1-(x/6) = 2*(1-(x/4)) Ex. (x/6) = 2*(x/4)

*** In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek?

Ans.3

*** In the 4 digits 1,2,3,4 how many 4 digit numbers are possible which are divisible by 4? Repetitions are allowed.

Ans. 64

*** Pipe A can fill in 20 minutes and Pipe B in 30 minutes and Pipe C can empty the same in 40 minutes. If all of them work together, find the time taken to fill the tank?

Ans. 17 1/7 minutes Ex. (N/20 + N/30 – N/40) = 1

*** A boat travels 20 km upstream in 6 hrs and 18 Km downstream in 4 hrs. Find the speed of the water current?

Ans. 7/12 km/h Ex. (20/6 + x) = (18/4 - x)
*** Rice is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?

Ans. 20 %. Ex. 4 Rs/Kg Increase. So she reduce 4 Rs. Rice = 200 gms

*** Father's age is three years more than three times the son's age. After three years, father's age will be ten years more than twice the son's age. What is the father's present age?

Ans. 33 years.

*** There are 20 poles with a constant distance between each pole. A car takes 24 second to reach the 12th pole. How much will it take to reach the last pole?

Ans. 41.45 seconds the dist. between two poles = x Hence 11x: 24 -> 19x: ?

*** At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12'o clock.

Ans. 66 sec.

*** Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided.

Ans. 18
Initially. x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x

*** A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point.

Ans. 200miles.
Distance traveled by plane = 1/10 distance traveled by ship + 180

*** Fifty minutes ago if it was four times as many minutes past three o’clock, how many minutes is it to six o'clock?

Ans. Twenty-six minutes.

*** There are 6 volumes of books on a rack kept in order (i.e. vol.1, vol. 2 and so on). Give the position after the following changes were noticed.
All books have been changed
Vol.5 was directly to the right of Vol.2
Vol.4 has Vol.6 to its left and both weren't at Vol.3's place
Vol.1 has Vol.3 on right and Vol.5 on left
An even numbered volume is at Vol.5's place
Find the order in which the books are kept now.

Ans. 2, 5, 1, 3, 6, and 4

1. If a and b are positive integers and (a-b)/3.5 = 4/7, then

Ans. b <>

2. In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50%. How many games must the team have won in a row to attain this average?

Ans. 24 Ex: 18+n = (60+n)/2

3. In a class composed of x girls and y boys what part of the class is composed of girls?

Ans. x/(x + y)

4. M men agree to purchase a gift for Rs. D. If three men drop out how much more will each have to contribute towards the purchase of the gift?

Ans. 3D/(M²-3M)

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

Ans. 42.857% Ex: 0.7 + (0.7*X) = 1

6. 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

7. 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

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

Ans. 300% Ex: (100% = 2 times as 4 times = 300%)

9. 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.

10. X% of Y is Y% of?

Ans. X

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

Ans. 200/3 Ex: % of increase = Amount of increase / original amount

12. The price of sugar increases by 20%, by what % should a housewife reduces the consumption of sugar so that expenditure on sugar can be same as before?

Ans. 16.66%

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

Ans. 200/3 Ex: % of increase = Amount of increase / original amount

14. 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 women are required to finish the job in 14 days.

Ans. 7

15. A simple interest amount of Rs 5000 for six month is Rs 200. What is the annual rate of interest?

Ans. 8%

16. In objective test a correct answer score 4 marks and on a wrong answer 2 marks are cut. A student scores 480 marks from 150 questions. How many answer were correct?

Ans. 130.

17. What is the angle between the two hands of a clock when time is 8:30?

Ans. 75

18. If a=2/3b, b=2/3c, and c=2/3d what part of d is b?

Ans. 4/9

19. Successive discounts of 20% and 15% are equal to a single discount of

Ans. 32%

20. If x/y=4 and y is not '0' what % of x is 2x-y

Ans. 175% (2x-y)/x

21. A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Mr. Black would take 8 days and Mr. Blue 12 days. After 8 days Mr. Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr. Blue to complete the contract?

Ans.11 Ex. (8/6)+(6/8)+(n/12)=3

22.There are 200 questions on a 3 hr examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be spent on each math’s problem as for each other question. How many minutes should be spent on mathematics problems?

Ans.72 Ex: (n*50)+((n/2)*150)=180 where n=minute for 1 math question

After a long time, exploring various aspects of blogging I am now finally starting a Blog. :)I was really very keen of writing in public. but I had fear about what to write and what not. But finally the day came where I am going to initiate this task.