Monday, August 1, 2011

Aptitude Questions

Solve the Questions send answer to my mail OR check with the answer Next Monday..

1. 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?

2. A student divided a number by 2/3 when he required to multiply by 3/2.
Calculate the percentage of error in his result.

3. A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a
false weight of 950gm. for a kg. His gain is …%.

4. A software engineer has the capability of thinking 100 lines of code in five
minutes and can type 100 lines of code in 10 minutes. He takes a break for
five minutes after every ten minutes. How many lines of codes will he
complete typing after an hour?

5. A man was engaged on a job for 30 days on the condition that he would get a
wage of Rs. 10 for the day he works, but he have to pay a fine of Rs. 2 for
each day of his absence. If he gets Rs. 216 at the end, he was absent for work
for ... days.

6. 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.

7. what is a percent of b divided by b percent of a?
(a) a (b) b (c) 1 (d) 10 (d) 100

8. 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. The amount paid
by him was Rs._______ for the horse and Rs.________ for the cart.

9. A tennis marker is trying to put together a team of four players for a tennis
tournament out of seven available. males - a, b and c; females – m, n, o and p.
All players are of equal ability and there must be at least two males in the
team. For a team of four, all players must be able to play with each other
under the following restrictions:
b should not play with m,
c should not play with p, and
a should not play with o.
Which of the following statements must be false?
1. b and p cannot be selected together
2. c and o cannot be selected together
3. c and n cannot be selected together.

10-12. The following figure depicts three views of a cube. Based on this,
answer questions 10-12.
6 5 4
1 22 3 6

10. The number on the face opposite to the face carrying 1 is _______ .

11. The number on the faces adjacent to the face marked 5 are _______ .

12. Which of the following pairs does not correctly give the numbers on the
opposite faces.
(1) 6,5 (2) 4,1 (3) 1,3 (4) 4,2

13. Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards.
Last year, each of them discovered that every tree in their own orchard bore
exactly the same number of apples. Further, if the third farmer gives one apple
to the first, and the fifth gives three to each of the second and the fourth, they
would all have exactly the same number of apples. What were the yields per
tree in the orchards of the third and fourth farmers?

14. Five boys were climbing a hill. J was following H. R was just ahead of G. K
was between G & H. They were climbing up in a column. Who was the

15-18 John is undecided which of the four novels to buy. He is considering a spy
thriller, a Murder mystery, a Gothic romance and a science fiction novel. The
books are written by Rothko, Gorky, Burchfield and Hopper, not necessary in
that order, and published by Heron, Piegon, Blueja and sparrow, not necessary
in that order.
1 (1) The book by Rothko is published by Sparrow.
2 (2) The Spy thriller is published by Heron.
3 (3) The science fiction novel is by Burchfield and is not published by Blueja.
3 (4)The Gothic romance is by Hopper.

15. Pigeon publishes ____________.

16. The novel by Gorky ________________.

17. John purchases books by the authors whose names come first and third in
alphabetical order. He does not buy the books ______.

18. On the basis of the first paragraph and statement (2), (3) and (4) only, it is
possible to deduce that
1. Rothko wrote the murder mystery or the spy thriller
2. Sparrow published the murder mystery or the spy thriller
3. The book by Burchfield is published by Sparrow.

19. If a light flashes every 6 seconds, how many times will it flash in ¾ of an
20. If point P is on line segment AB, then which of the following is always true?
(1) AP = PB (2) AP > PB (3) PB > AP (4) AB > AP (5) AB > AP + PB

21. All men are vertebrates. Some mammals are vertebrates. Which of the
following conclusions drawn from the above statement is correct.
All men are mammals
All mammals are men
Some vertebrates are mammals.

22. Which of the following statements drawn from the given statements are
All watches sold in that shop are of high standard. Some of the HMT watches
are sold in that shop.
a) All watches of high standard were manufactured by HMT.
b) Some of the HMT watches are of high standard.
c) None of the HMT watches is of high standard.
d) Some of the HMT watches of high standard are sold in that shop.

1. Ashland is north of East Liverpool and west of Coshocton.
2. Bowling green is north of Ashland and west of Fredericktown.
3. Dover is south and east of Ashland.
4. East Liverpool is north of Fredericktown and east of Dover.
5. Fredericktown is north of Dover and west of Ashland.
6. Coshocton is south of Fredericktown and west of Dover.

23. Which of the towns mentioned is furthest of the north – west
(a) Ashland (b) Bowling green (c) Coshocton
(d) East Liverpool (e) Fredericktown

24. Which of the following must be both north and east of Fredericktown?
(a) Ashland (b) Coshocton (c) East Liverpool
I a only II b only III c only IV a & b V a & c

25. Which of the following towns must be situated both south and west of at least
one other town?
A. Ashland only
B. Ashland and Fredericktown
C. Dover and Fredericktown
D. Dover, Coshocton and Fredericktown
E. Coshocton, Dover and East Liverpool.

26. Which of the following statements, if true, would make the information in the
numbered statements more specific?
(a) Coshocton is north of Dover.
(b) East Liverpool is north of Dover
(c) Ashland is east of Bowling green.
(d) Coshocton is east of Fredericktown
(e) Bowling green is north of Fredericktown

27. Which of the numbered statements gives information that can be deduced
from one or more of the other statements?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 6

28. Eight friends Harsha, Fakis, Balaji, Eswar, Dhinesh, Chandra, Geetha, and
Ahmed are sitting in a circle facing the center. Balaji is sitting between Geetha
and Dhinesh. Harsha is third to the left of Balaji and second to the right of
Ahmed. Chandra is sitting between Ahmed and Geetha and Balaji and Eshwar
are not sitting opposite to each other. Who is third to the left of Dhinesh?

29. If every alternative letter starting from B of the English alphabet is written in
small letter, rest all are written in capital letters, how the month “ September”
be written.
(1) SeptEMbEr (2) SEpTeMBEr (3) SeptembeR
(4) SepteMber (5) None of the above.

30. The length of the side of a square is represented by x+2. The length of the side
of an equilateral triangle is 2x. If the square and the equilateral triangle have
equal perimeter, then the value of x is _______.

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

32. Which of the following is larger than 3/5?
(1) ½ (2) 39/50 (3) 7/25 (4) 3/10 (5) 59/100

33. The number that does not have a reciprocal is ____________.

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

35. 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. The amount paid
by him was Rs._______ for the horse and Rs.________ for the cart.

Saturday, July 16, 2011

10 Shortcut Maths Tricks

Math can be terrifying for many people.
This list will hopefully improve your general knowledge of mathematical tricks and your speed when you need to do math in your head.

1. The 11 Times Trick
We all know the trick when multiplying by ten - add 0 to the end of the number, but did you know there is an equally easy trick for multiplying a two digit number by 11? This is it:
Take the original number and imagine a space between the two digits (in this example we will use 52:
Now add the two numbers together and put them in the middle:
That is it - you have the answer: 572.
If the numbers in the middle add up to a 2 digit number, just insert the second number and add 1 to the first:
1089 - It works every time.

2. Quick Square
If you need to square a 2 digit number ending in 5, you can do so very easily with this trick. Mulitply the first digit by itself + 1, and put 25 on the end. That is all!
252 = (2x(2+1)) & 25
2 x 3 = 6

3. Multiply by 5
Most people memorize the 5 times tables very easily, but when you get in to larger numbers it gets more complex - or does it? This trick is super easy.
Take any number, then divide it by 2 (in other words, halve the number). If the result is whole, add a 0 at the end. If it is not, ignore the remainder and add a 5 at the end. It works everytime:
2682 x 5 = (2682 / 2) & 5 or 0
2682 / 2 = 1341 (whole number so add 0)
Let’s try another:
5887 x 5
2943.5 (fractional number (ignore remainder, add 5)

4. Multiply by 9
This one is simple - to multiple any number between 1 and 9 by 9 hold both hands in front of your face - drop the finger that corresponds to the number you are multiplying (for example 9×3 - drop your third finger) - count the fingers before the dropped finger (in the case of 9×3 it is 2) then count the numbers after (in this case 7) - the answer is 27.

5. Multiply by 4
This is a very simple trick which may appear obvious to some, but to others it is not. The trick is to simply multiply by two, then multiply by two again:
58 x 4 = (58 x 2) + (58 x 2) = (116) + (116) = 232

6. Calculate a Tip
If you need to leave a 15% tip, here is the easy way to do it. Work out 10% (divide the number by 10) - then add that number to half its value and you have your answer:
15% of $25 = (10% of 25) + ((10% of 25) / 2)
$2.50 + $1.25 = $3.75

7. Tough Multiplication
If you have a large number to multiply and one of the numbers is even, you can easily subdivide to get to the answer:
32 x 125, is the same as:
16 x 250 is the same as:
8 x 500 is the same as:
4 x 1000 = 4,000

8. Dividing by 5
Dividing a large number by five is actually very simple. All you do is multiply by 2 and move the decimal point:
195 / 5
Step1: 195 * 2 = 390
Step2: Move the decimal: 39.0 or just 39
2978 / 5
step 1: 2978 * 2 = 5956
Step2: 595.6

9. Subtracting from 1,000
To subtract a large number from 1,000 you can use this basic rule: subtract all but the last number from 9, then subtract the last number from 10:
step1: subtract 6 from 9 = 3
step2: subtract 4 from 9 = 5
step3: subtract 8 from 10 = 2
answer: 352

10. Assorted Multiplication Rules
Multiply by 5: Multiply by 10 and divide by 2.
Multiply by 6: Sometimes multiplying by 3 and then 2 is easy.
Multiply by 9: Multiply by 10 and subtract the original number.
Multiply by 12: Multiply by 10 and add twice the original number.
Multiply by 13: Multiply by 3 and add 10 times original number.
Multiply by 14: Multiply by 7 and then multiply by 2
Multiply by 15: Multiply by 10 and add 5 times the original number, as above.
Multiply by 16: You can double four times, if you want to. Or you can multiply by 8 and then by 2.
Multiply by 17: Multiply by 7 and add 10 times original number.
Multiply by 18: Multiply by 20 and subtract twice the original number (which is obvious from the first step).
Multiply by 19: Multiply by 20 and subtract the original number.
Multiply by 24: Multiply by 8 and then multiply by 3.
Multiply by 27: Multiply by 30 and subtract 3 times the original number (which is obvious from the first step).
Multiply by 45: Multiply by 50 and subtract 5 times the original number (which is obvious from the first step).
Multiply by 90: Multiply by 9 (as above) and put a zero on the right.
Multiply by 98: Multiply by 100 and subtract twice the original number.
Multiply by 99: Multiply by 100 and subtract the original number.

Bonus: Percentages
Yanni in comment 23 gave an excellent tip for working out percentages, so I have taken the liberty of duplicating it here:
Find 7 % of 300. Sound Difficult?
Percents: First of all you need to understand the word “Percent.” The first part is PER , as in 10 tricks per listverse page. PER = FOR EACH. The second part of the word is CENT, as in 100. Like Century = 100 years. 100 CENTS in 1 dollar… etc. Ok… so PERCENT = For Each 100.
So, it follows that 7 PERCENT of 100, is 7. (7 for each hundred, of only 1 hundred).
8 % of 100 = 8. 35.73% of 100 = 35.73
But how is that useful??
Back to the 7% of 300 question. 7% of the first hundred is 7. 7% of 2nd hundred is also 7, and yep, 7% of the 3rd hundred is also 7. So 7+7+7 = 21.
If 8 % of 100 is 8, it follows that 8% of 50 is half of 8 , or 4.
Break down every number that’s asked into questions of 100, if the number is less then 100, then move the decimal point accordingly.
8%200 = ? 8 + 8 = 16.
8%250 = ? 8 + 8 + 4 = 20.
8%25 = 2.0 (Moving the decimal back).
15%300 = 15+15+15 =45.
15%350 = 15+15+15+7.5 = 52.5
Also it’s usefull to know that you can always flip percents, like 3% of 100 is the same as 100% of 3.
35% of 8 is the same as 8% of 35.

Thursday, June 30, 2011


1. Two pencils costs 8 cents, then 5 pencils cost how much
      (Ans:20 cents) 
2. A work is done by the people in 24 min. one of them can do
      this work a lonely in 40 min. how much time required to do the same
      work for the second person.
       (ans:60 min.)
3. A car is filled with four and half gallons of oil for full round
      trip. fuel is taken 1/4 gallons mor3 in going than coming. what is
      the fiel consumed in coming up? (2 gallons)
4. low temperature at the night in a city is 1/3 more than 1/2
      hinge as higher temperature in a day. sum of the low temp and
      higherst temp is 100C. then what is the low temperature (40 C)
5. A person who decided to go weekend trip should not exceed 8 hours
       driving in a day Average speed of forward journy is 40 mph. due to
       traffic in sundays, the return journey average speed is 30 mph.
       how far he can select a picnic spot (120 miles).

6. A sales person multiplied a number and get the answer is 3,
      instead of that number divided by 3. what is th answer he actually
      has to get ? (1/3).
7. A ship started from port and moving with I mph and another ship
      started from L and moving with H mph. At which place these two ships
       meet ?  ( Ans is between  I and J and close to J)

          port   G     H     I     J     K     L

8. A building with hight D ft shadow upto G A neighbour building with
       what height shadow C ft is      (B ft.)

        A     B     C     D     E     F     G     H

9. A person was fined for exceeding the speed limit by 10 mph.Another
       person was also fined for exceeding the same speed limit by twice
       the same.  If the second person was travelling at a speed of 35 mph.
       find the speed limit (15 mph)

10. A bus started from bustand at 8.00a m and after 30 min staying at
      destination, it returned back to the bustand.  the destination is 27
       miles from the bustand. the  speed of the bus 50 percent fast speed.
        at what time it retur4ns to the bustand (11.00) a mixture, R is 2 parts, S is 1 part. in order to make S to 25%
      of the mixture, howmuch R is to be added   ( one part).

12. wind flows 160 miles in 330 min, for 80 miles how much time
 13. with 4/5 full tank vehicle travels 12 miles, with 1/3 full tank
      how much distance travels  ( 5 miles).

 14. two trees are there. one grows at 3/5 of the other. in 4 years,
      total growth of trees is 8 ft.  what growth will smaller tree will
      have in 2 years.  (<2ft)

 15. A storm will move with a velocity of    towords the center in
       hours. At the same rate how much far will it move in hrs.
       (but Ans is 8/3 or 2 2/3).