Aptitude
Questions
Solve the following and check with the answers given
at the end.
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
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.
- 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)
- The sum of any seven consecutive
numbers is divisible by
a)
2 b) 7
c) 3 d) 11
Exercise 3
Try the following.
- 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?
- 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?
- 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.
- In a group of five people, what is
the probability of finding two persons with the same month of birth?
- 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?
- 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?
- 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?
- 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.
- 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
- If Freddy sits immediately beside
Vicky, which of the following cannot be true ?
- Jonathan sits immediately beside
Sarah
- Lupe sits immediately beside
Vicky
- Hillary sits in the front
passenger seat
- Freddy sits on the same bench as
Hillary
- Hillary sits on the same bench as
Roberto
- If Sarah sits on a bench that is
behind where Jonathan is sitting, which of the following must be true ?
- Hillary sits in a seat or on a
bench that is in front of where Marta is sitting
- Lupe sits in a seat or on a bench
that is in front of where Freddy is sitting
- Freddy sits on the same bench as
Hillary
- Lupe sits on the same bench as
Sarah
- Marta sits on the same bench as
Vicky
- Make six squares of the same size
using twelve match-sticks. (Hint : You will need an adhesive to arrange
the required figure)
- 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
- Nine equal circles are enclosed in
a square whose area is 36sq units. Find the area of each circle.
- 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.
- 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
- A speaks truth 70% of the time; B
speaks truth 80% of the time. What is the probability that both are
contradicting each other?
- 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.
- 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?
