Thursday, June 17, 2010

0 Aptitude questions for competitive exams solved question paper

Aptitude questions for Competitive Exams Question paper
 
 
1.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 mins
and Pipe C can
empty the same in 40 mins.If all of them work
together, find the time
taken 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 9
hours a day.How
many hour a day should 40 men work to complete the
job?
(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 38
and 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 kms
downstream in 4
hrs.Find the speed of the boat in still water and the
speed of the
water 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 of
side 12m by a rope
7m 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 a
tube station. He
found that if he walks down 26 steps, he requires 30
seconds to
reach the bottom. However, if he steps down 34 stairs
he would only
require 18 seconds to get to the bottom. If the time
is measured from
the moment the top step begins to descend to the
time he steps off
the last step at the bottom, find out the height of
the stair way in
steps?

Ans.46 steps.

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4 years ago, because an old member has been replaced
by a young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

Ans.40 years.

11. Three containers A, B and C have volumes a, b, and
c respectively;
and container A is full of water while the other two
are empty. If
from container A water is poured into container B
which becomes 1/3
full, and into container C which becomes 1/2 full, how
much water is
left in container A?

12. ABCE is an isosceles trapezoid and ACDE is a
rectangle. AB = 10
and EC = 20. What is the length of AE?

Ans. AE = 10.

13. In the given figure, PA and PB are tangents to the
circle at A and
B respectively and the chord BC is parallel to
tangent PA. If AC = 6
cm, and length of the tangent AP is 9 cm, then what
is the length of
the chord BC?

Ans. BC = 4 cm.

15 Three cards are drawn at random from an ordinary
pack of cards.
Find the probability that they will consist of a king,
a queen and an ace.

Ans. 64/2210.

16. A number of cats got together and decided to kill
between them
999919 mice. Every cat killed an equal number of
mice. Each cat
killed more mice than there were cats. How many cats
do you think
there were ?

Ans. 991.

17. If Log2 x - 5 Log x + 6 = 0, then what would the
value / values of
x be?
Ans. x = e2 or e3.

18. The square of a two digit number is divided by
half the number.
After 36 is added to the quotient, this sum is then
divided by 2.
The digits of the resulting number are the same as
those in the
original number, but they are in reverse order. The
ten's place of
the original number is equal to twice the difference
between its
digits. What is the number?

Ans. 46

19.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.

20.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?

Ans.18 hours.


All the sample paper is taken from internet during the search ....

Tuesday, April 27, 2010

0 Sample Po Paper

1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.?
(a) 30 minutes
(b) 25 minutes
(c) 28 minutes
(d) 34 minutes
2. Find the right number, from the given options, at the place marked by the question mark: 2, 4, 8, 32, 256, ?
(a) 4096
(b) 8192
(c) 512
(d) 1024
3. Find the number missing at question mark:
    10, 11, 23, 39, 64, ?, 149
(a) 100
(b) 103
(c) 78
(d) 128
4. A super fast bus of KSRTC starting from ‘Trivandrum’ and     reaches ‘Attingal’ in 45 minutes with an average speed of 40 km/hr. If the speed is increased by 10 km/hr how much time it will take to cover the same distance?
(a) 34 minutes (b) 36 minutes (c) 38 minutes (d) 40 minutes
5. The difference between 6 times and 8 times of a figure is 14.  What is the figure?
    (a) 12 (b) 9 (c) 7 (d) 6
6. If 92y = 36 what is 9y?
    (a) 4 (b) 6 (c) 9 (d) 18
7. One fourth percent of 180 is:
    (a) 4.5 (b) 0.45 (c) 0.045 (d) 45
8. A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I?
    (a) 100 (b) 200 (c) 180 (d) 150
9. Find the missing number 32, 52, 74, 112, 135 ……………
    (a) 16 (b) 15 (c) 17 (d) 14
10. If 250 is increased to 300, what is the percentage increase?
     (a) 16.67 (b) 20 (c) 23 (d) 17
11. The ratio of 9 seconds to 10 hours is ………….
     (a) 1:40 (b) 1:4000 (c) 9:10 (d) 1:400
12. A person lost 10% when he sold goods at Rs.153. For how much should he sell them to gain 20%?
     (a) 204 (b) 250 (c) 240 (d) 210
13. What will be xy if 7862xy is to be divisible by 125?
     (a) 25 (b) 00 (c) 75 (d) 50
14. A train of 100 meters long is running at the speed of 36 km per hour. In what time it passes a bridge of 80 meters long?
     (a) 30 seconds (b) 36 seconds (c) 20 seconds (d) 18 seconds
15. If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be …….
     (a) 90 seconds (b) 70 seconds (c) 60 seconds (d) 100 seconds
16. If a quarter kilogram costs Rs. 60 then how much will cost for 150 grams?
     (a) Rs. 30 (b) Rs. 24 (c) Rs. 36 (d) Rs. 40
17. If 3 men or 6 boys can do a piece of work in 20 days then how many days with 6 men and 8 boys take to do the same work?
     (a) 5 (b) 8 (c) 10 (d) 6
18. Find the sum of first 100 natural numbers
     (a) 5050 (b) 5005 (c) 9900 (d) 9050
19. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:
     (a) 12m (b) 5m (c) 13m (d) 11m
20. How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8 cm?
     (a) 4 (b) 8 (c) 16 (d) 2
21. The solution to x2 +6x+9 = 0 is ……..
     (a) x1 = + 3, x2 = -3 (b) x1 = 3, x2 = 3
     (c) x1 = -3, x2 = -3 (d) No solution
22. What is the chance of getting a 2 or 4 in rolling a die?
     (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
23. At what rate of simple interest per annum an amount will be doubled in 10 years?
     (a) 10% (b) 7.5% (c) 16% (d) 15%
24. Five times an unknown number is 5 less than 50. The unknown number
     (a) 10 (b) 11 (c) 9 (d) 5
25. The acute angle between the hour hand and minute hand of a clock at 4 PM
     (a) 900 (b) 1200 (c) 1500 (d) 2400
26. Water is filled in a cylindrical vessel in such a way that its volume doubles after every five minutes. If it takes 30 minutes for the vessel to be full, then the vessel will be one fourth full in
     (a) 20 minute (b) 25 minutes
     (c) 7 minutes 30 seconds (d) 10 minutes
27. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats
     (a) 1 minutes (b) 10 minute (c) 100 minutes (d) 10000 minutes
28. If 75 % of a number is added to 75, the result is the number itself, then the number is:
     (a) 250 (b) 750 (c) 400 (d) 300
29. A school has enough food for 400 children for 12 days. How long will the food last if 80 more children join them?
    (a) 6 days (b) 7 days (c) 10 days (d) 8 days
30. The sum of two consecutive numbers is 55, which is the largest number?
     (a) 25 (b) 28 (c) 26 (d) 27
31. When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit?
     (a) 33 1/8 % (b) 66 2/3 % (c) 25 % (d) 50 %
32. The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
     (a) 7,200m2 (b) 15,000m2 (c) 54,000m2 (d) 13,500m2
33. If you add 100 to a certain number, the result will be more than, if you multiply that number by 1000 what is that number?
     (a) 1.5 (b) 1.0 (c) 2.5 (d) 2.0
34. A student has to secure 40 % marks to pass. He gets 150 marks and fails by 30 marks. What is the maximum marks?
     (a) 400 (b) 500 (c) 475 (d) 450
35. The circumcentre of an obtuse triangle will always be in the
     (a) Interior of the triangle
     (b) Midpoint of the diameter
     (c) Exterior of the triangle
     (d) Midpoint of the side of the triangle
36. What is the degree measure of a semicircle?
     (a) 360 (b) 90 (c) 270 (d) 180
37. Which among the following is the point of intersection of the medians of a triangle?
     (a) Circumcentre (b) Centroid (c) Orthocenter (d) Incentre
38. The height of a cone and its base diameter are equal. If the base radius is ‘r’ what is its slant height?
     (a) 3r (b) 4r (c) √5r (d) √3r
39. The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas?
     (a) 4:9 (b) 2:3 (c) 8:27 (d) 4:6
40. What is the common ratio of the progression 3√2, 6, 6√2 ?
     (a) 3 (b) 2 (c) √2 (d) √3
41. In class of 100 students 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects?
     (a) 25 (b) 30 (c) 50 (d) 45
42. Speed of a boat in still water is 9 km/hr. It goes 12 km down stream and comes back to the starting point in three hours.What is the speed of water in the stream?
     (a) 3 km/hr (b) 4 km/hr (c) 4.5 km/hr (d) 5 km/hr
43. A student was asked to add 16 and subtract 10 from a number.He by mistake added 10 and subtracted 16. If his answer is 14 what is the correct answer?
     (a) 20 (b) 26 (c) 30 (d) 32
44. Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm.
     (a) 48 sq.cm (b) 34 sq.cm (c) 24 sq.cm (d) 42 sq.cm
45. Find the next term of the series: 3, 6, 9, 18, 27, 54, ……
     (a) 81 (b) 69 (c) 63 (d) 57
46. A number consists of 20 plus 20% of its value. The number is:
     (a) 20 (b) 22 (c) 25 (d) 30
47. 20% of 5 + 5% of 20 =
     (a) 5 (b) 2 (c) 6 (d) 21
48. The angle between the minute hand and the hour hand of a clock, when the time is 8.30
     (a) 800 (b) 600 (c) 1050 (d) 750
49. Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B?
     (a) 306 (b) 765 (c) 700 (d) 510
50. The sum of four consecutive counting numbers is 154. Find the smallest number:
     (a) 36 (b) 37 (c) 38 (d) 31
Answers
1 A 11 B 21 C 31 D 41 A
2 B 12 A 22 B 32 D 42 A
3 A 13 D 23 A 33 B 43 B
4 B 14 D 24 C 34 D 44 C
5 C 15 A 25 B 35 C 45 A
6 B 16 C 26 A 36 D 46 C
7 C 17 D 27 B 37 B 47 B
8 D 18 A 28 D 38 C 48 D
9 C 19 C 29 C 39 C 49 B
10 B 20 B 30 B 40 C 50 B


All the sample paper is taken from internet during the search ....
 

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