CODE
B
1st Shift
L@place
Learning
about
PLACEment
(Pre-Placement Test)
- Turning Dreams into Reality
Round 1 - Intelligence Quotient Test
Duration: 75 min.
Date: 20th Nov. 2014
Max. Marks: 200
Instructions:
 All 50 Questions are compulsory.
 Any type of Calculators and Electronic Devices are not allowed.
 Each question carries 4 marks for correct answer, for each wrong answer -1 mark will be awarded.
Name:
Year & Roll No.:
Branch:
Mobile:
Signature
best of luck
“Laplace team is very thankful to all its participants, Proctor Office, PTP Office, Professors, Volunteers and
The whole ALLIANCE CLUB team for their help & support.
Jai Hind”
:: Questions ::
Q.1) What was the day of the week on 15th
August 1947?
A. Monday
B. Thursday
C. Friday
D. Tuesday
Q.2) The owner of an art shop conducts his
business in the following manner: Every once in a
while he raises his price by x%, then a while later
he reduces all the new prices by x%. after one
such up-down cycle, the price of a painting
decreased by Rs. 441. After a second up-down
cycle the painting was sold for Rs. 1944.81. What
was the original price of the painting?
A. 2756.25
B. 2256.25
C. 2500
D. 2000
Q.3) If a, b, c and d are four positive real
number such that abcd = 1, what is the minimum
value of (1+a)(1+b)(1+c)(1+d)?
A. 4
B. 1
C. 16 D. 18
Q.4) If 09/12/2001 happens to be Sunday, then
09/12/1971 would have been a:
city, three kms north of gates, and it can just be
seen from a point nine kms east of the south
gate. What is the diameter of the wall that
surrounding the city?
A. 6
B. 9
C. 12 D. none
Q.7) Ujakar and Keshab attempted to solve a
quadratic equation. Ujakar made a mistake in
writing down the constant term. He ended up
with the roots (4, 3). Keshab made a mistake in
writing down the coefficient of x. He got the
roots as (3, 2). What will be the exact roots of the
original quadratic equation?
A. (6,1)
B. (-3,-4)
C. (4,3)
D. (-4,-3)
Q.8) If there are 10 positive real numbers
n1<n2<n3…..n10. How many triplets of these
numbers (n1, n2, n3), (n2, n3, n4) ….. can be
generated such that in each triplet the first
number is always is less than the second number,
and the second number is always less than the
third number?
A. 45 B. 90 C. 120 D. 180
A. Wednesday
B. Tuesday
C. Saturday
D. Thursday
Paragraph (9 -10):
Q.5) The figure below shows the network
connecting cities A, B, C, D, E and F the arrows
indicate permissible direction of travel. What is
the number of distinct paths from A to F?
A. 9
Consider a cylinder of height h cm and radius r =
2 ÷ π cm as shown in the figure (not drawn to
scale). A string of a certain length, when wound
on its cylindrical surface. Starting at point A and
ending at point B, gives a maximum of n turns (In
other words, the string’s length is the minimum
length required to wind n turns).
B. 10 C. 11 D. none
Q.6) A certain city has a circular wall around it,
and this wall has four gates pointing north,
south, east and west. A house stands outside the
Q.9) What is the vertical spacing in cm
between two consecutive turns?
A. h/n
B. h/√
C. h/n2
D. Cannot be determined with given information
Q.10) The same string, when wound on the
exterior four walls of a cube of side n cm, starting
at point C and ending at point D, can give exactly
one turn (See figure, not drawn to scale).
The length of the string, In cm. is
A. √ n
B. √
n
C. n
D. √
n
Q.11) When 2256 is divided by 17 the reminder
would be:
A. 1
B. 16 C. 14 D. none
Q.12) Using only 2, 5, 10, 25 and 50 paise coins,
what will be the minimum number of coins
required to pay exactly 78 paise, 69 paise and Rs.
1.01 to three different persons?
A. 19 B. 20 C. 17 D. 18
Q.13) A chemical plant has 4 tanks (A, B, C and
D) each containing 1000 lit of a chemical. The
chemical is being pumped from one tank to other
as follows:
Q.14) The right most non zero digit of the
number 302720 is
A. 1
B. 3
C. 7
D. 9
Q.15) The digits of a 3 digit number A are
written in the reverse order to form another 3
digit number B. if B>A and B-A is perfectly
divisible by 7, and then which of the following is
necessarily true?
A. 100<A<299
B. 106<A<305
C. 112<A<311
D. 118<A<317
Q.16) Consider a sequence where the nth term
tn = n/(n+2), n=1,2,….. The value of t3*t4*t5*……t53
equals:
A. 2/495
B. 2/477
C. 12/55
D. 1/1485
Paragraph (17-18): A punching machine is used
to punch a circular hole of diameter of 2 units
from a square sheet of aluminum of width 2
units, as shown below. The hole is punched such
that the circular hole touches one corner P of the
square sheet and the diameter of the hole
originating at P is in line with a diagonal of the
square
From A to B @ 20 lit/min
From C to A @ 90 lit/min
From A to D @ 10 lit/min
From C to D @ 50 lit/min
P
From B to C @ 100 lit/min
From D to B @ 110 lit/min
Q.17) The proportion of the sheet area that
remain after punching is
Which tank gets emptied first and how long does
it take (in min.) to get empty after pumping
starts?
A. ( +2)/8
B. (6- )/8
C. (4- )/4
D. ( -2)/4
A. A, 16.66
B. C, 20
C. D, 20
D. D, 25
Q.18) Find the area of the part of the
circle(round punch) falling outside the square
sheet
A. /4
B.
-1)/2
C.( -1)/4
D.( -2)/4
Q.19) The number of common terms in the two
Sequences 17,21,25,….417 and 16,21,26,……466
is
A. 78 B. 19 C. 20 D. 77
Q.20) If all the words formed by the letters of
the word “LAPLACE” are arranged alphabetically
in a dictionary, then rank of the word “LAPLACE”
is
A. 834
B. 26,688
C. 835
D. None
Q.21) How many two digits number are there
which when subtracted from the number formed
by reversing its digits as well as when added to
the number formed by reversing its digits, result
in a perfect square?
A. 4
B. 3
C. 1
D. 2
Q.22) In a single throw with two dice, find the
probability that their sum is a multiple either of 3
or 4.
A. 1/3 B. 5/9 C. 1/2 D. 17/36
Q.23) The tag line “the power to do more” is
linked with.
Q.26) Find one word for the sentence “study of
birds”.
A. orology
B. optology
C. ophthalmology
D. ornithology
Q.27) Find one word for the sentence “the
absence of law and order”.
A. Rebellion
B. Anarchy
C. Mutiny
D. revolt
Q.28) A shop keeper earns a profit of 12% on
selling a book at 10% discount on the printed
price. The ratio of the cost to the printed price of
the book is
A. 50:61
B. 45:56
C. 99:125
D. 55:69
Directions (29-30) – Read the following
information carefully and answer the questions
below it.
i.
ii.
iii.
iv.
Q.29)
A is the father of C
E is the daughter of C. F is the spouse of A
B is the brother of C. D is the son of B
G is the spouse of B. H is the father of G
Who is the grandmother of D?
A. A
B. C
C. F
D. H
Q.30) Who is the son of F?
A. DELL
B. HP
A. B
C. LENOVO
D. SONY
Q.31) If “KCLFTSB” stands for “BEST OF LUCK”
and “SHSWDG” stands for “good wishes “ , which
of the following indicates “ace of exam” ?
Q.24) Find synonym of CORPULENT
A. lean
B. gaunt
C. emaciated D. obese
Q.25) Find antonym of QUIESCENT
A. active
B. dormant
C. weak
D. unconcerned
B. C
C. D
D. E
A. MCHTX
B. XMHCT
C. MXHTC
D. XMHTC
Q.32) A jar contains only 3 types RED, BLUE and
SILVER paper clips. The probability of selecting a
red paper clip is ¼, and the probability of
selecting a blue paper clip is 1/6. What is the
probability of selecting a silver paper clip?
A. 5/12
B. 1/2
C. emotion, diagnose D. scars, understand
C. 7/12
D. 11/12
Q.37) In this context, the _____ of the British
labour movement is particularly _____.
Directions (33-34):
Life was not easy before Aryabhatta. Zero was
not invented and also people could not multiply
numbers. Thus mathematics had only 9 digits (1
to 9) and after that came 11 and so on. Find the
answer to following operations
Q.33) What is 7 x 11 +11 =?
A. 88 B. 80 C. 81 D. 82
Q.34) What is 21 + 29 + 1 =?
A. 50 B. 51 C. 52 D. 54
Q.35) Find total no. of Triangles-
A. 22 B. 17 C. 21 D. 20
CHOOSE THE BEST ALTERNATIVE AMONG THE
FOUR
Q.36) Since her face was free of _____there was
no way to ______if she appreciated what had
happened.
A. make up, realise
A. affair, weird
B. activity, moving
C. experience, significant
D. atmosphere, gloomy
Q.38) Who is the present CEO of TCS?
Q.39) What is the name of autobiography of
Sachin Tendulkar?
Q.40) Who is the defence minister of India?
Q.41) Write the full form of “SIM”.
Q.42) Who got the noble prize for peace this
year?
Q.43) Who is the Author of the famous book
series “Sherlock Holmes”?
Q.44) Write the motto of the Olympic Games.
Q.45) Who is the present chief justice of
Supreme Court of India?
Q.46) Where is the Head quarter of W.H.O.?
Q.47) Who is the chief editor of leading
newspaper “THE HINDU”?
Q.48) Which country did Ebola start in?
Q.49) Write the name of currency symbol “£”.
Q.50) Write next 61,52,63,94,46 …?….
B. expression, ascertain
Place for Rough Work
CODE
B
2nd Shift
L@place
Learning
about
PLACEment
(Pre-Placement Test)
- Turning Dreams into Reality
Round 1 - Intelligence Quotient Test
Duration: 90 min.
Date: 20th Nov. 2014
Max. Marks: 200
Instructions:
 All 50 Questions are compulsory.
 Any type of Calculator and Electronic Devices are not allowed.
 Each question carries 4 marks for correct answer, for each wrong answer -1 mark will be awarded.
Name:
Year & Roll No.:
Branch:
Mobile:
Signature
best of luck
“Laplace team is very thankful to all its participants, Proctor Office, PTP Office, Professors, Volunteers and
The whole ALLIANCE CLUB team for your help & support.
Jai Hind”
:: Questions ::
Q.1) x and y are real number satisfying the
condition 2<x<3 and -8<y<-7. Which of the
following expression will have the least value?
A. 12:00 am
B. 11:00 am
C. 1:00 pm
D. 3:00 pm
Q.7) If x^y denotes x raised to power y, find last
two digits of (1141 ^ 3843) + (1961^4181).
A. x2y B. xy2 C. 5xy D. None
Q.2) The figure below shows the network
connecting cities A,B,C,D,E and F the arrows
indicate permissible direction of travel. What is
the number of distinct paths from A to F?
A. 02 B. 82 C. 42 D. 22
Q.8) Perimeter of the back wheel = 9ft, front
wheel=7ft. on a certain distance, the front wheel
gets 10 revolution more than back wheel. What is
the distance?
A. 35 B. 315 C. 175 D. 280
A. 9
Q.9) If all the words formed by the letters of
the word “ALLIANCE” are arranged alphabetically
in a dictionary, then rank of the word “ALLIANCE”
is
B. 10 C. 11 D. None
Q.3) At a bookstore, “MODERN BOOK STORE”
is flashed using neon lights. The words are
individually flashed at intervals of
,
,
seconds respect, and each word is put off after a
seconds. The least time after which the full name
of the bookstore be read again is
A. 49.5 sec
B. 73.5 sec
C. 1744.5 sec
D. 855 sec
Q.4) What was the day of the week on 15
August 1947?
A. Monday
B. Thursday
C. Friday
D. Tuesday
th
Q.5) At 12:00 hours, J starts to walk from his
house at 6 kmph. At 13:30, P follows him from J’s
house on his bicycle at 8kmph. When will J be 3
km behind P?
A. 1997
B. 1996
C. 15968
D. 15969
Q.10) How many polynomials of degree >= 1
satisfy F(x2) = [ f(x) ]2 = f (f(x))?
A. more than 2
B. 2
C. 0
D. 1
Q.11) If there are 10 positive real numbers
n1<n2<n3<…<n10. How many triplets of these
numbers (n1,n2,n3),(n2,n3,n4),….can be generated
such that in each triplet the first number is
always less than the second number, and the
second number is always less than the third
number?
A. 45 B. 90 C. 120 D. 180
Q.12) Two dice are tossed. The probability that
the total score is a prime number is
A. 20:30 hrs
B. 21:30 hrs
A. 1\6
B. 5\12
C. 19:30 hrs
D. 18:30 hrs
C. 1\2
D. 7\9
Q.6) If time at this moment is 9:00 pm what
will be the time 23999999990 hours later?
Q.13) What is the possibility of getting at least 6
heads if eight coins are tossed simultaneously?
A. 37\256
B. 25/57
C. 1\13
D. None
Q.19) A set of consecutive positive integers
beginning with 1 is written on the blackboard. A
student came along and erased one number. The
average of the remaining numbers is
.what
was the number erased?
Paragraph (14-15):
A. 7
Let f(x) = ax2+bx+c, where a, b and c are certain
constants and a!=0. It is known that f(5) = -3f(2)
and that 3 is a root of f(x)=0.
Q.20) If 9/12/2001 happens to be Sunday. Then
09/12/1971 would have been a:
Q.14) What is the other root of f(x)=0?
A. -7
B. -4
C. 2
D. 6
Q.15) What is the value of a+b+c?
A. 9
B. 14 C. 13 D. 37
Q.16) What is the number of distinct terms in
the expansion of (a+b+c)20 ?
B. 8
C. 9
A. Wednesday
B. Tuesday
C. Saturday
D. Thursday
Q.21) A rectangular pool 20 meters wide and 60
meters long is surrounding by a walkway of
uniform width. If the total area of the walkway is
516 square meters. How wide, in meters, is the
walkway?
A. 43 B. 4.3 C. 3
A. 231
B. 253
C. 242
D. 210
Paragraph:
A survey was conducted of 100 people to find out
whether they had read recent issues of golmal, a
monthly magazine. The summarised information
regarding readership in three months is given
below:
Q.17) What is the number of surveyed people
who have read two consecutive issues (out of the
three)?
A. 7
B. 9
C. 12 D. 14
D. 3.5
CHOOSE THE BEST ALTERNATIVE AMONG THE
FOUR
Q.22) But ____ are now regularly written not
just for tools. But well established practices,
organisations and institutions, not all of which
seem to be ___away.
A. reports, withering B. stories, trading
C. books, dying
Only September: 18; September but not August:
23; September & July: 8; September: 28; July: 48;
July & august: 10; None of the three months: 24.
D. None
D. obituaries, trading
Q.23) The Darwin who _____ is most
remarkable for the way in which he _____ the
attributes of the world class thinker and head of
the household:
A. comes, figures
B. arises, adds
C. emerges, combines D. appeared, combines
Q.18) A red light flashes 3 times per minute, and
a green light flashes 5 times in two minutes at
regular intervals. If both lights start flashing at
the same time. How many times do they flash
together in each hour?
PICK THE WORD OR PHRASE THAT IS CLOSEST IN
MEANING IN GIVEN CONTEXT
A. harsh criticism
B. acute distrust
A. 30 B. 24 C. 20 D. 60
C. bitter enmity
D. spark oppressiveness
Q.24) OPPROBRIUM
Q.25) PORTEND
Q.31) The value of log3437 is
A. introduces B. evokes
A. 1/3 B. 3
C. spells
Q.32) Evaluate ∑
D. bodes
Paragraph (36-37):
The figure below shows the plan of a town. The
streets are at right angles to each other. A
rectangular park (P) is situated inside the town
with a diagonal road running through k. There is
also a prohibited region (D) in the town.
Q.26) Neelam rides her bicycle from her house
at A to her office at B, taking the shortest path.
Then the number of possible shortest paths that
she can choose is
(a) 60 (b) 75(c) 45 (d) 90 (e) 72
Q.27) Neelam rides her bicycle from her house
at A to her club at C, via B taking the shortest
path. Then the number of possible shortest paths
that she can choose is
C. 1/4 D. 3
A. 22+ (311-1)
B. 11+ (311-1)
C. 22+ (310-1)
D. None
Paragraph (46-48):
The plan above shows an office block for six
officers: A, B, C, D. E and F. Both B and C occupy
offices to the right of the corridor (as one enters
the office block) and A occupies an office to the
left of the corridor. E and F occupy offices on
opposite sides of the corridor but their offices do
not face each other. The offices of C and D face
each other. E does not have a corner office. F’s
office is further down the corridor than A’s, but
on the same side.
Q.33) If E sits in his office and faces the corridor,
then whose office is to his left?
A. A
B. B
C. C
D. D
Q.34) Whose office faces A’s office?
(a) 1170 (b) 630 (c) 792 (d) 1200 (e) 936
A. B
Q.28) Find the LCM of 5/2, 8/9, 11/14?
Q.35) Who is/are F’s neighbours?
A. 280 B. 360 C. 420 D. None
A. A only
B. A and D
Q.29) By selling a watch for Rs. 495 a
shopkeeper incurs a loss of 10%. Find the cost
price of the watch for the shop keeper.
C. C only
D. B and C
A. Rs. 545
B. Rs. 550
C. Rs. 555
D. None
Q.30) Find the LCM of 5/2, 8/9, 11/14?
A. 280 B. 360 C. 420 D. None
B. C
C. D
D. E
Q.36) The area of largest possible square
inscribed in circle of unit radius (in sq. units) is
A. 2
B.
C. 2√ π
D. 4√ π
Q.37) Find total no. of Triangles-
A. 22 B. 17 C. 21 D. 20
Q.38) Write the tag line of networking company
IDEA
Q.39) What will be the next in the series
1,7,8,49,56,57,343…….?
Q.44) Who got the noble prize for literature this
year?
Q.45) Who is the author of the famous book
series “Harry Potter”?
Q.46) Write the motto of “NCC”.
Q.40) Who is the CEO of IBM?
Q.47) Where is the Head quarter of UNISEF?
Q.41) What is the name of the autobiography of
Mahatma Gandhi?
Q.48) Who is the chief editor of leading
newspaper “THE TIMES OF INDIA”?
Q.42) Who is the present governor of Reserve
Bank of India?
Q.49) Write the number of total judges on the
bench of Supreme Court of India?
Q.43) What is the full form of RCC.
Q.50) Write the name of currency symbol “¥”.
Place for Rough Work