Aptitude Questions
Aptitude Questions.
ANSWER ARE IN BOTTOM
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
Aptitude Questions.
2
|
3
|
2
|
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 second?
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)
The book by Rothko is published by Sparrow.
(2)
The Spy thriller is published by Heron.
(3)
The science fiction novel is by Burchfield and is not published by Blueja.
(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 hour?
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.
None
22. Which
of the following statements drawn from the given statements are correct?
Given:
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.
23-27.
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 incomplete?
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.
Answers:
1. Answer:
30
days.
Explanation:
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
2. Answer:
0
%
Explanation:
Since
3x / 2 = x / (2 / 3)
3. Answer:
5.3
%
Explanation:
He
sells 950 grams of pulses and gains 50 grams.
If
he sells 100 grams of pulses then he will gain (50 / 950)
*100 = 5.26
4. Answer:
250
lines of codes
5. Answer:
7
days
Explanation:
The
equation portraying the given problem is:
10
* x – 2 * (30 – x) = 216 where x is the number
of working days.
Solving
this we get x = 23
Number
of days he was absent was 7 (30-23) days.
6. Answer:
150
men.
Explanation:
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.
7. Answer:
(c)
1
Explanation:
a
percent of b : (a/100) * b
b
percent of a : (b/100) * a
a
percent of b divided by b percent of a : ((a / 100 )*b) / (b/100) *
a )) = 1
8. Answer:
Cost
price of horse = Rs. 400 & the cost price of cart = 200.
Explanation:-
Let
x be the cost price of the horse and y be the cost price of the cart.
In
the first sale there is no loss or profit. (i.e.) The loss obtained
is equal to the gain.
Therefore (10/100)
* x = (20/100) * y
X = 2
* y -----------------(1)
In
the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by
Rs. 10.
Therefore (5
/ 100) * x = (5 / 100) * y + 10
-------(2)
Substituting
(1) in (2) we get
(10
/ 100) * y = (5 / 100) * y + 10
(5
/ 100) * y = 10
y
= 200
From
(1) 2 * 200 = x = 400
9. Answer:
3.
Explanation:
Since
inclusion of any male player will reject a female from the team. Since there
should be four member in the team and only three males are available, the girl,
n should included in the team always irrespective of others selection.
10. Answer:
5
11. Answer:
1,2,3
& 4
12. Answer:
B
13. Answer:
11
& 9 apples per tree.
Explanation:
Let
a, b, c, d & e be the total number of apples bored per year in A, B, C, D
& E ‘s orchard. Given that a + 1 = b + 3
= c – 1 = d + 3 = e – 6
But
the question is to find the number of apples bored per tree in C and D ‘s
orchard. If is enough to consider c – 1 = d + 3.
Since
the number of trees in C’s orchard is 11 and that of D’s orchard is 13. Let x
and y be the number of apples bored per tree in C & d ‘s orchard
respectively.
Therefore
11 x – 1 = 13 y + 3
By
trial and error method, we get the value for x and y as 11 and 9
14. Answer:
G.
Explanation:
The
order in which they are climbing is R – G – K – H – J
15
– 18
Answer:
Novel
Name Author Publisher
Spy
thriller Rathko Heron
Murder
mystery Gorky Piegon
Gothic
romance Burchfield Blueja
Science
fiction Hopper Sparrow
Explanation:
Given
Novel
Name Author Publisher
Spy
thriller Rathko Heron
Murder
mystery Gorky Piegon
Gothic
romance Burchfield Blueja
Science
fiction Hopper Sparrow
Since
Blueja doesn’t publish the novel by Burchfield and Heron publishes the novel
spy thriller, Piegon publishes the novel by Burchfield.
Since
Hopper writes Gothic romance and Heron publishes the novel spy thriller, Blueja
publishes the novel by Hopper.
Since
Heron publishes the novel spy thriller and Heron publishes the novel
by Gorky, Gorky writes Spy thriller and Rathko
writes Murder mystery.
19. Answer:
451
times.
Explanation:
There
are 60 minutes in an hour.
In
¾ of an hour there are (60 * ¾) minutes = 45 minutes.
In
¾ of an hour there are (60 * 45) seconds = 2700 seconds.
Light
flashed for every 6 seconds.
In
2700 seconds 2700/6 = 450 times.
The
count start after the first flash, the light
will flashes 451 times in ¾ of an hour.
20. Answer:
(4)
Explanation:
P
A B
Since
p is a point on the line segment AB, AB > AP
21. Answer: (c)
22. Answer: (b)
& (d).
Ahmed
23
- 27.Answer:
Fakis Chandra
28. Answer: Fakis
Explanation: Harsha Geetha
Eswar Balaji
Dhinesh
29. Answer:
(5).
Explanation:
Since
every alternative letter starting from B of the English alphabet is written in
small letter, the letters written in small letter are b, d, f...
In
the first two answers the letter E is written in both small & capital
letters, so they are not the correct answers. But in third and fourth answers
the letter is written in small letter instead capital letter, so they are not
the answers.
30. Answer:
x
= 4
Explanation:
Since
the side of the square is x + 2, its perimeter = 4 (x + 2) = 4x + 8
Since
the side of the equilateral triangle is 2x, its perimeter = 3 * 2x = 6x
Also,
the perimeters of both are equal.
(i.e.) 4x
+ 8 = 6x
(i.e.) 2x
= 8 è x = 4.
31. Answer:
(y
– 2) / y.
Explanation:
To
type a manuscript karthik 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
32. Answer:
(2)
33. Answer:
1
Explanation:
One
is the only number exists without reciprocal because the reciprocal of one is
one itself.
34. Answer:
Sudhir
had 39 cars, Arvind had 21 cars and Gauri had 12 cars.
Explanation:
Sudhir Arvind Gauri
Finally 24 24 24
Before
Gauri’s
transaction 12 12 48
Before
Arvind’s
transaction 6 42 24
Before
Sudhir’ s
transaction 39 21 12
35. Answer:
Cost
price of horse: Rs. 400 &
Cost
price of cart: Rs. 200
Explanation:
Let
x be the cost of horse & y be the cost of the cart.
10
% of loss in selling horse = 20 % of gain in selling the cart
Therefore (10
/ 100) * x = (20 * 100) * y
è x = 2y -----------(1)
5
% of loss in selling the horse is 10 more than the 5 % gain in selling the
cart.
Therefore (5
/ 100) * x - 10 = (5 / 100) * y
è 5x
- 1000 = 5y
Substituting
(1)
10y
- 1000 = 5y
5y
= 1000
y
= 200
x
= 400 from
(1)
Exercise
2.1
For
the following, find the next term in the series
1. 6,
24, 60,120, 210
a)
336 b)
366 c)
330 d)
660
Answer :
a) 336
Explanation :
The series is 1.2.3, 2.3.4, 3.4.5, 4.5.6, 5.6.7, ..... (
'.' means product)
2. 1,
5, 13, 25
Answer :
41
Explanation :
The series is of the form 0^2+1^2, 1^2+2^2,...
3.
0, 5, 8, 17
Answer :
24
Explanation :
1^2-1, 2^2+1, 3^2-1, 4^2+1, 5^2-1
4.
1, 8, 9, 64, 25 (Hint : Every
successive terms are related)
Answer :
216
Explanation :
1^2, 2^3, 3^2, 4^3, 5^2, 6^3
5.
8,24,12,36,18,54
Answer :
27
6.
71,76,69,74,67,72
Answer :
67
7.
5,9,16,29,54
Answer :
103
Explanation :
5*2-1=9; 9*2-2=16; 16*2-3=29; 29*2-4=54; 54*2-5=103
8.
1,2,4,10,16,40,64 (Successive terms are related)
Answer : 200
Explanation : The
series is powers of 2 (2^0,2^1,..).
All
digits are less than 8. Every second number is in octal number
system.
128
should follow 64. 128 base 10 = 200 base 8.
Exercise
2.2
Find
the odd man out.
1.
3,5,7,12,13,17,19
Answer : 12
Explanation : All
but 12 are odd numbers
2.
2,5,10,17,26,37,50,64
Answer :
64
Explanation :
2+3=5; 5+5=10; 10+7=17; 17+9=26; 26+11=37; 37+13=50; 50+15=65;
3.
105,85,60,30,0,-45,-90
Answer :
0
Explanation :
105-20=85; 85-25=60; 60-30=30; 30-35=-5; -5-40=-45; -45-45=-90;
Exercise
3
Solve
the following.
1.
What is the number of zeros at the end of the product of the numbers from 1 to
100?
Answer :
127
2.
A fast typist can type some matter in 2 hours and a slow typist can type the
same in 3 hours. If both type combinely, in how much time will they finish?
Answer : 1
hr 12 min
Explanation
: 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 combinely, 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
3.
Gavaskar's average in his first 50 innings was 50. After the 51st innings, his
average was 51. How many runs did he score in his 51st innings. (supposing that
he lost his wicket in his 51st innings)
Answer :
101
Explanation : Total
score after 50 innings = 50*50 = 2500
Total
score after 51 innings = 51*51 = 2601
So,
runs made in the 51st innings = 2601-2500 =
101
If
he had not lost his wicket in his 51st innings, he would have scored an
unbeaten 50 in his 51st innings.
4.
Out of 80 coins, one is counterfeit. What is the minimum number of weighings
needed to find out the counterfeit coin?
Answer :
4
5.
What can you conclude from the statement : All green are blue, all blue are
red. ?
(i) some blue are green
(ii) some red are
green
(iii) some green are not
red
(iv) all red are blue
(a) i or ii but not both
(b) i & ii only
(c) iii or iv but not
both
(d) iii & iv
Answer : (b)
6.
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?
Answer : 3.5
inches
Explanation : Volume
of the circular rod (cylinder) = Volume of the rectangular plate
(22/7)*4*4*h
= 8*11*2
h
= 7/2 = 3.5
7.
What is the sum of all numbers between 100 and 1000
which are divisible by 14 ?
Answer :
35392
Explanation :
The number closest to 100 which is greater than 100 and divisible by
14 is 112, which is the first term of the series which has to be
summed.
The
number closest to 1000 which is less than 1000 and divisible by 14 is 994,
which is the last term of the series.
112
+ 126 + .... + 994 = 14(8+9+ ... + 71) = 35392
8.
If s(a) denotes square root of a, find the value of s(12+s(12+s(12+
...... upto infinity.
Answer :
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.
9.
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?
Answer :
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.
10.
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?
Answer : 1,
3, 9, 27, 81, 243 (All powers of
3)
11.
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?
Answer :
84 years
Explanation :
x/6 + x/12 + x/7 + 5 + x/2 + 4 = x
12
. If time at this moment is 9 P.M., what will be the time 23999999992 hours
later?
Answer : 1
P.M.
Explanation :
24 billion hours later, it would be 9 P.M. and 8 hours before that it would be
1 P.M.
13.
How big will an angle of one and a half degree look through a glass that
magnifies things three times?
Answer :
1 1/2 degrees
Explanation :
The magnifying glass cannot increase the magnitude of an angle.
14.
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.
Answer:
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;
15.
I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my
average speed over my 120 km.
Answer :
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
Questions
16 and 17 are based on the following :
Five
executives of European Corporation hold a Conference in Rome
Mr.
A converses in Spanish & Italian
Mr.
B, a spaniard, knows English also
Mr.
C knows English and belongs to Italy
Mr.
D converses in French and Spanish
Mr.
E , a native of Italy knows French
16. Which
of the following can act as interpreter if Mr. C & Mr. D wish to converse
a)
only Mr. A b) Only Mr. B c) Mr. A & Mr.
B d) Any of the other three
Answer : d)
Any of the other three.
Explanation : From
the data given, we can infer the following.
A
knows Spanish, Italian
B knows
Spanish, English
C knows
Italian, English
D knows
Spanish, French
E knows
Italian, French
To
act as an interpreter between C and D, a person has to know one of the
combinations Italian&Spanish, Italian&French,
English&Spanish, English&French
A,
B, and E know atleast one of the combinations.
17.
If a 6th executive is brought in, to be understood by maximum number of
original five he should be fluent in
a)
English & French b) Italian &
Spanish c) English &
French d) French & Italian
Answer : b)
Italian & Spanish
Explanation :
No of executives who know
i)
English is 2
ii)
Spanish is 3
iii)
Italian is 3
iv)
French is 2
Italian
& Spanish are spoken by the maximum no of executives. So, if the 6th
executive is fluent in Italian & Spanish, he can communicate with all the
original five because everybody knows either Spanish or
Italian.
18.
What is the sum of the first 25 natural odd
numbers?
Answer :
625
Explanation :
The sum of the first n natural odd nos is square(n).
1+3
= 4 = square(2) 1+3+5 = 9 = square(3)
19.
The sum of any seven consecutive numbers is
divisible by
a) 2 b)
7 c) 3 d) 11
Exercise
3
Try
the following.
1.
There are seventy clerks working in a company, of
which 30 are females. Also, 30 clerks are married; 24 clerks
are above 25 years of age; 19 married clerks are above 25 years, of which 7 are
males; 12 males are above 25 years of age; and 15 males are married. How many
bachelor girls are there and how many of these are above 25?
2.
A man sailed off from the North Pole. After
covering 2,000 miles in one direction he turned West, sailed 2,000 miles,
turned North and sailed ahead another 2,000 miles till he met his friend. How
far was he from the North Pole and in what direction?
3.
Here is a series of comments on the ages of three
persons J, R, S by themselves.
S
: The difference between R's age and mine is three years.
J
: R is the youngest.
R
: Either I am 24 years old or J 25 or S 26.
J
: All are above 24 years of age.
S
: I am the eldest if and only if R is not the youngest.
R
: S is elder to me.
J
: I am the eldest.
R
: S is not 27 years old.
S
: The sum of my age and J's is two more than twice R's age.
One
of the three had been telling a lie throughout whereas others had spoken the
truth. Determine the ages of S,J,R.
4.
In a group of five people, what is the probability
of finding two persons with the same month of birth?
5.
A father and his son go out for a 'walk-and-run'
every morning around a track formed by an equilateral triangle. The father's
walking speed is 2 mph and his running speed is 5 mph. The son's walking and
running speeds are twice that of his father. Both start together from one apex
of the triangle, the son going clockwise and the father anti-clockwise.
Initially the father runs and the son walks for a certain period of
time. Thereafter, as soon as the father starts walking,
the son starts running. Both complete the course in 45 minutes. For how long
does the father run? Where do the two cross each other?
6.
The Director of Medical Services was on his annual
visit to the ENT Hospital. While going through the out patients'
records he came across the following data for a particular day
: " Ear consultations 45; Nose 50; Throat 70; Ear and Nose 30;
Nose and Throat 20; Ear and Throat 30; Ear, Nose and Throat 10; Total patients
100." Then he came to the conclusion that the records were bogus. Was he
right?
7.
Amongst Ram, Sham and Gobind are a doctor, a lawyer
and a police officer. They are married to Radha, Gita and Sita (not in order).
Each of the wives have a profession. Gobind's wife is an artist. Ram is not
married to Gita. The lawyer's wife is a teacher. Radha is married to the police
officer. Sita is an expert cook. Who's who?
8.
What should come next?
1,
2, 4, 10, 16, 40, 64,
Questions
9-12 are based on the following :
Three
adults – Roberto, Sarah and Vicky – will be traveling in a van with five
children – Freddy, Hillary, Jonathan, Lupe, and Marta. The van has a driver’s
seat and one passenger seat in the front, and two benches behind the front
seats, one beach behind the other. Each bench has room for exactly three
people. Everyone must sit in a seat or on a bench, and seating is subject to
the following restrictions: An
adult must sit on each bench.
Either
Roberto or Sarah must sit in the driver’s seat.
Jonathan
must sit immediately beside Marta.
9.
Of the following, who can sit in the front
passenger seat ?
(a)
Jonathan (b)
Lupe (c)
Roberto (d)
Sarah (e) Vicky
10. Which
of the following groups of three can sit together on a bench?
(a)
Freddy, Jonathan and
Marta (b) Freddy, Jonathan
and Vicky
(c)
Freddy, Sarah and
Vicky (d)
Hillary, Lupe and Sarah
(e)
Lupe, Marta and Roberto
11.
If Freddy sits immediately beside Vicky, which of
the following cannot be true ?
a.
Jonathan sits immediately beside Sarah
b.
Lupe sits immediately beside Vicky
c.
Hillary sits in the front passenger seat
d.
Freddy sits on the same bench as Hillary
e.
Hillary sits on the same bench as Roberto
12.
If Sarah sits on a bench that is behind where
Jonathan is sitting, which of the following must be true ?
a.
Hillary sits in a seat or on a bench that is in
front of where Marta is sitting
b.
Lupe sits in a seat or on a bench that is in front
of where Freddy is sitting
c.
Freddy sits on the same bench as Hillary
d.
Lupe sits on the same bench as Sarah
e.
Marta sits on the same bench as Vicky
13.
Make six squares of the same size using twelve
match-sticks. (Hint : You will need an adhesive to arrange the required figure)
14.
A farmer has two rectangular fields. The larger
field has twice the length and 4 times the width of the smaller field. If the
smaller field has area K, then the are of the larger field is greater than the
area of the smaller field by what amount?
(a)
6K (b) 8K (c)
12K (d)
7K
15.
Nine equal circles are enclosed in a square whose
area is 36sq units. Find the area of each circle.
16.
There are 9 cards. Arrange them in a 3*3 matrix. Cards
are of 4 colors. They are red, yellow, blue, green. Conditions for arrangement:
one red card must be in first row or second row. 2 green cards should be in 3rd column.
Yellow cards must be in the 3 corners only. Two blue cards must be in the 2nd
row. At least one green card in each row.
17.
Is z less than w? z and w are real numbers.
(I)
z2 = 25
(II)
w = 9
To
answer the question,
a)
Either I or II is sufficient
b)
Both I and II are sufficient but neither of them is alone sufficient
c)
I & II are sufficient
d)
Both are not sufficient
18.
A speaks truth 70% of the time; B speaks truth 80%
of the time. What is the probability that both are contradicting each other?
19.
In a family 7 children don't eat spinach, 6 don't
eat carrot, 5 don't eat beans, 4 don't eat spinach & carrots, 3 don't eat
carrot & beans, 2 don't eat beans & spinach. One doesn't eat all 3.
Find the no. of children.
20.
Anna, Bena, Catherina and Diana are at their
monthly business meeting. Their occupations are author, biologist, chemist and
doctor, but not necessarily in that order. Diana just told the neighbour, who
is a biologist that Catherina was on her way with doughnuts. Anna is sitting
across from the doctor and next to the chemist. The doctor was thinking that
Bena was a good name for parent's to choose, but didn't say
anything. What is each person's occupation?