In each of the following questions, a related pair of words or phrases is followed by four pairs of words
or phrases. Select the pair that best expresses a relationship similar to that expressed in the original
pair.
SAVANT : OBTUSE
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NIMCET 2008 #1935
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NIMCET 2008 #1936
Each question consists of a word printed in capital letters, followed by four words or phrases. Choose
the word or phrase that is most nearly opposite in meaning to the word in capital letters:
OPPROBRIUM
OPPROBRIUM
NIMCET 2008 #1937
Each question consists of a word printed in capital letters, followed by four words or phrases. Choose
the word or phrase that is most nearly opposite in meaning to the word in capital letters:
INCESSANT
NIMCET 2008 #1938
Each question consists of a word printed in capital letters, followed by four words or phrases. Choose the word or phrase that is most similar in meaning to the word in capital letters:
EXASPERATE
EXASPERATE
NIMCET 2008 #1939
Each question consists of a word printed in capital letters, followed by four words or phrases. Choose the word or phrase that is most similar in meaning to the word in capital letters:
INIMICAL
INIMICAL
NIMCET 2008 #1940
Read the following passage and answer the questions, based on what is stated or implied in the passage: Declassification of government documents has shed new light on the events comprising the Cuban Missile Crisis of October 1962. Prior to the accessibility of these records, the only source of account of the Crisis for scholars and historians were the personal memoirs and narratives of the officials who served under Kennedy and Krushchev during this period. Many of declassified documents are transcriptions and notes of meetings between members of the CIA and President Kennedy's Cabinet, as well as the President himself. The revelations in these documents have demonstrated the inadvertent inaccuracies and intended obscurities inherent in the first person narratives of the Crisis, and has aided historians from all three countries involved in the Crisis to get a more authentic representation of what truly transpired, and for what reasons. Of perhaps the most interest to historians are declassified correspondence between John F. Kennedy and Nikita Krushchev that challenge the idea that the height of the Crisis extended only over the course of thirteen days. Indeed, these letters indicate that the Crisis was far from resolved by Khrushchev's October 28 decision to withdraw the Soviet Missiles from Cuba; instead it endured far into the following month, while slept fitfully under the illusion of peace.
The Author is mainly concerned with
NIMCET 2008 #1941
Read the following passage and answer the questions, based on what is stated or implied in the passage: Declassification of government documents has shed new light on the events comprising the Cuban Missile Crisis of October 1962. Prior to the accessibility of these records, the only source of account of the Crisis for scholars and historians were the personal memoirs and narratives of the officials who served under Kennedy and Krushchev during this period. Many of declassified documents are transcriptions and notes of meetings between members of the CIA and President Kennedy's Cabinet, as well as the President himself. The revelations in these documents have demonstrated the inadvertent inaccuracies and intended obscurities inherent in the first person narratives of the Crisis, and has aided historians from all three countries involved in the Crisis to get a more authentic representation of what truly transpired, and for what reasons. Of perhaps the most interest to historians are declassified correspondence between John F. Kennedy and Nikita Krushchev that challenge the idea that the height of the Crisis extended only over the course of thirteen days. Indeed, these letters indicate that the Crisis was far from resolved by Khrushchev's October 28 decision to withdraw the Soviet Missiles from Cuba; instead it endured far into the following month, while slept fitfully under the illusion of peace.
According to the passage, which of the following statements (s) is/are true of the Cubian Missile
Crisis?
I. The Crisis is still shrouded in mystery
II. The memoirs of those closely involved in the Crisis were not entirely factual
III. The crisis spanned thirteen days
NIMCET 2008 #1942
Read the following passage and answer the questions, based on what is stated or implied in the passage: Declassification of government documents has shed new light on the events comprising the Cuban Missile Crisis of October 1962. Prior to the accessibility of these records, the only source of account of the Crisis for scholars and historians were the personal memoirs and narratives of the officials who served under Kennedy and Krushchev during this period. Many of declassified documents are transcriptions and notes of meetings between members of the CIA and President Kennedy's Cabinet, as well as the President himself. The revelations in these documents have demonstrated the inadvertent inaccuracies and intended obscurities inherent in the first person narratives of the Crisis, and has aided historians from all three countries involved in the Crisis to get a more authentic representation of what truly transpired, and for what reasons. Of perhaps the most interest to historians are declassified correspondence between John F. Kennedy and Nikita Krushchev that challenge the idea that the height of the Crisis extended only over the course of thirteen days. Indeed, these letters indicate that the Crisis was far from resolved by Khrushchev's October 28 decision to withdraw the Soviet Missiles from Cuba; instead it endured far into the following month, while slept fitfully under the illusion of peace.
The author's use of the phrase "inadvertent inaccuracies and intended obscurities" suggests all of the following EXCEPT
NIMCET 2008 #1943
In each of the following questions, a sentence is given with a blank followed by four alternatives.
Choose the word or phrase that most correctly completes the sentences.
Mary did not attend office yesterday. She _________ for a picnic.
Mary did not attend office yesterday. She _________ for a picnic.
NIMCET 2008 #1944
In each of the following questions, a sentence is given with a blank followed by four alternatives.
Choose the word or phrase that most correctly completes the sentences.
I don’t know where Maya is. She ________ at home.
I don’t know where Maya is. She ________ at home.
NIMCET 2008 #1945
If $f(x)$ is a polynomial satisfying
$f(x)f\left(\frac{1}{x}\right)=f(x)+f\left(\frac{1}{x}\right)$
and $f(3)=28$, then $f(4)$ is
NIMCET 2008 #1946
Suppose $P_1,P_2,\dots,P_{30}$ are thirty sets each having $5$ elements and $Q_1,Q_2,\dots,Q_n$ are $n$ sets with $3$ elements each.
Let
$\bigcup_{i=1}^{30}P_i=\bigcup_{j=1}^{n}Q_j=S$
and each element of $S$ belongs to exactly $10$ of the $P$’s and exactly $9$ of the $Q$’s.
Then $n$ equals
NIMCET 2008 #1947
The number of functions $f$ from $A={0,1,2}$ into $B={0,1,2,3,4,5,6,7}$ such that
$f(i) \le f(j)$ for $i
Go to Discussion
NIMCET Previous Year PYQ NIMCET NIMCET 2008 PYQ
Go to Discussion
NIMCET Previous Year PYQ NIMCET NIMCET 2008 PYQ
Solution
Number of non-decreasing functions = combinations with repetition $= \binom{8+3-1}{3}=\binom{10}{3}$NIMCET 2008 #1948
NIMCET 2008 #1949
The integer $n$ for which
$\displaystyle \lim_{x\to0}\frac{(\cos x-1)(\cos x-e^x)}{x^n}$
is finite and non-zero
NIMCET 2008 #1950
The area of the plane bounded by
$y=\sqrt{x},\ x\in[0,1]$,
$y=x^2,\ x\in[1,2]$,
$y=-x^2+2x+4,\ x\in[0,2]$
NIMCET 2008 #1951
NIMCET 2008 #1952
If
$y=\sec^{-1}\left(\frac{x+1}{x-1}\right)+\sin^{-1}\left(\frac{x-1}{x+1}\right)$,
$x\in[0,\infty)$ and $x\ne1$, then $\dfrac{dy}{dx}$ is equal to
NIMCET 2008 #1953
If two events $A$ and $B$ such that
$P(A')=0.3,\ P(B)=0.5$ and $P(A\cap B)=0.3$, then $P(B\mid A\cup B')$ is
NIMCET 2008 #1954
If $y=mx$ bisects the angle between the lines
$x^2(\tan^2\theta+\cos^2\theta)+2xy\tan\theta-y^2\sin\theta=0$
when $\theta=\dfrac{\pi}{3}$, then the value of $\sqrt{3}m^2+4m$ is
NIMCET 2008 #1955
If $f:\mathbb R\to\mathbb R$ and $g:\mathbb R\to\mathbb R$ are continuous functions, then evaluate
$\displaystyle \int_{-\pi/2}^{\pi/2}[f(x)+f(-x)][g(x)-g(-x)],dx$
NIMCET 2008 #1956
The maximum value of
$(\cos\alpha_1)(\cos\alpha_2)\cdots(\cos\alpha_n)$
where $0\le \alpha_1,\alpha_2,\ldots,\alpha_n\le\pi$ and
$(\cot\alpha_1)(\cot\alpha_2)\cdots(\cot\alpha_n)=1$ is
NIMCET 2008 #1957
NIMCET 2008 #1958
A line $L$ has intercepts $a$ and $b$ on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line has intercepts $p$ and $q$. Which of the following is true?
NIMCET 2008 #1959
If $a,b$ are the roots of $x^2+px+1=0$ and $c,d$ are the roots of $x^2+qx+1=0$, the value of
$E=(a-c)(b-c)(a+d)(b+d)$ is
NIMCET 2008 #1960
If $f(x)+f(1-x)=2$, then the value of
$f\left(\dfrac{1}{2001}\right)+f\left(\dfrac{2}{2001}\right)+\cdots+f\left(\dfrac{2000}{2001}\right)$ is
NIMCET 2008 #1961
NIMCET 2008 #1962
Let $\alpha$ and $\beta$ be the roots of $x^2+x+1=0$. The equation whose roots are $\alpha^{19}$ and $\beta^{19}$ is
NIMCET 2008 #1963
NIMCET 2008 #1964
NIMCET 2008 #1965
If $H_1,H_2,\ldots,H_n$ are $n$ harmonic means between $a$ and $b$, $a\ne b$, then the value of
$\dfrac{H_1+a}{H_1-a}+\dfrac{H_n+b}{H_n-b}$
is equal to
NIMCET 2008 #1966
For $a>0,\ a\ne1$, the number of values of $x$ satisfying
$2\log_x a+\log_{ax} a+3\log_{a^2x} a=0$
is
NIMCET 2008 #1967
An eight digit number divisible by $9$ is to be formed by using $8$ digits out of the digits $0,1,\ldots,9$ without replacement.
The number of ways in which this can be done is
NIMCET 2008 #1968
The number of ordered pairs $(m,n)$, $m,n\in{1,2,\ldots,100}$ such that
$7^m+7^n$ is divisible by $5$ is
NIMCET 2008 #1969
If $a,b,c$ are the roots of the equation
$x^3-3px^2+3qx-1=0$,
then the centroid of the triangle with vertices
$\left(a,\frac1a\right),\left(b,\frac1b\right),\left(c,\frac1c\right)$
is the point
NIMCET 2008 #1970
Equation of the common tangent touching the circle
$(x-3)^2+y^2=9$
and the parabola
$y^2=4x$
above the $x$-axis is
NIMCET 2008 #1971
NIMCET 2008 #1972
A pair of unbiased dice is rolled together till a sum of either $5$ or $7$ is obtained.
The probability that $5$ comes before $7$ is
NIMCET 2008 #1973
A letter is taken at random from the letters of the word STATISTICS and another letter is taken at random from the letters of the word ASSISTANT.
The probability that they are the same letter is
NIMCET 2008 #1974
A bag contains $6$ red and $4$ green balls.
A fair die is rolled and a number of balls equal to that appearing on the die is chosen from the bag at random.
The probability that all the balls selected are red is
NIMCET 2008 #1975
The value of $\lambda$ for which the volume of the parallelepiped formed by the vectors
$\vec i+\lambda\vec j+\vec k,\ \vec j+\lambda\vec k,\ \lambda\vec i+\vec k$
is minimum is
NIMCET 2008 #1976
A six-faced die is a biased one. It is thrice more likely to show an odd number than to show an even number. It is thrown twice. The probability that the sum of the numbers in the two throws is even is
NIMCET 2008 #1977
A letter is known to have come from either TATANAGAR or CALCUTTA. On the envelope, just two consecutive letters, TA, are visible. The probability that the letter has come from CALCUTTA is
NIMCET 2008 #1978
If $\cos\alpha+\cos\beta=a$, $\sin\alpha+\sin\beta=b$ and $\theta$ is the arithmetic mean between $\alpha$ and $\beta$, then
$\sin2\theta+\cos2\theta$ is equal to
NIMCET 2008 #1979
NIMCET 2008 #1980
NIMCET 2008 #1981
The value of $\lambda$ such that the four points whose position vectors are
$3\vec i-2\vec j+\lambda\vec k,\ 6\vec i+3\vec j+\vec k,\ 5\vec i+7\vec j+3\vec k$ and $2\vec i+2\vec j+6\vec k$
are coplanar is
NIMCET 2008 #1982
Let $\vec A=2\vec i+\vec j-2\vec k$ and $\vec B=\vec i+\vec j$.
If $\vec C$ is a vector such that
$\vec A\cdot\vec C=|\vec C|$,
$|\vec C-\vec A|=2\sqrt2$
and the angle between $\vec A\times\vec B$ and $\vec C$ is $30^\circ$,
then $|(\vec A\times\vec B)\times\vec C|$ is equal to
NIMCET 2008 #1983
A rigid body is rotating at the rate of $3$ radians per second about an axis $AB$, where
$A(1,-2,1)$ and $B(3,-4,2)$.
The velocity of the point $P(5,-1,-1)$ of the body is
NIMCET 2008 #1984
If $\vec A+\vec B+\vec C=\vec0$, $|\vec A|=3$, $|\vec B|=5$, $|\vec C|=7$,
then the angle between $\vec A$ and $\vec B$ is
NIMCET 2008 #1985
(i) P ψ Q means P is mother of Q
(ii) P ∈ Q means P is sister of Q
(iii) P $ Q means P is father of Q
(iv) P # Q means P is brother of Q
Which of the following means N is definitely daughter of K?
Which of the following means N is definitely daughter of K?
NIMCET 2008 #1986
(i) P ψ Q means P is mother of Q
(ii) P ∈ Q means P is sister of Q
(iii) P $ Q means P is father of Q
(iv) P # Q means P is brother of Q
Which of the following means R is brother of T?
Which of the following means R is brother of T?
NIMCET 2008 #1987
(i) P ψ Q means P is mother of Q
(ii) P ∈ Q means P is sister of Q
(iii) P $ Q means P is father of Q
(iv) P # Q means P is brother of Q
$\text{Which of the following means X is real grandmother of Y?}$
$\text{Which of the following means X is real grandmother of Y?}$
NIMCET 2008 #1988
(i) P ψ Q means P is mother of Q
(ii) P ∈ Q means P is sister of Q
(iii) P $ Q means P is father of Q
(iv) P # Q means P is brother of Q
$\text{If K ψ L ∈ M # N, then how K is related with N?}$
NIMCET 2008 #1989
(i) P ψ Q means P is mother of Q
(ii) P ∈ Q means P is sister of Q
(iii) P $ Q means P is father of Q
(iv) P # Q means P is brother of Q
$\text{Which of the following means K is nephew of M?}$
NIMCET 2008 #1990
There are six houses in a row. Mr. Lal has Mr. Babu and Mr. Anil as neighbours.
Mr. Bhatia has Mr. Gupta and Mr. Sharma as neighbours.
Mr. Gupta’s house is not next to Mr. Babu or Mr. Anil and Mr. Sharma does not live next to Mr. Anil.
Who are Mr. Babu’s next-door neighbours?
NIMCET 2008 #1991
A watch which gains 10 seconds in 5 minutes was set correct at 9 a.m.
When the watch indicated 20 minutes past 7 o’clock the same evening, the true time is:
NIMCET 2008 #1992
A boy observes the reflection of a clock in a mirror.
The time observed by the boy in the mirror is 8 hours 45 minutes.
What is the actual time shown in the clock?
NIMCET 2008 #1993
Gold is 19 times as heavy as water and copper is 9 times as heavy as water.
In what ratio should these be mixed to get an alloy 15 times as heavy as water?
NIMCET 2008 #1994
In an objective type examination, 120 objective type questions are there; each with 4 options P, Q, R and S.
A candidate can choose either one of these options or can leave the question unanswered.
How many different ways exist for answering this question paper?
NIMCET 2008 #1995
You are given two (unmarked) containers of capacity 9 liters and 4 liters, and a huge tank of water.
Need is to get a measure of exactly 6 liters of water.
A move is either filling a container completely or emptying a container (either fully or partly).
The smallest number of moves needed to do this task is
NIMCET 2008 #1996
NIMCET 2008 #1997
What is the diameter of the largest circle that can be drawn on a chessboard so that its entire circumference gets covered by the black squares and no part of the circumference falls on any white space, given that the chessboard has black and white squares of size one inch?
NIMCET 2008 #1998
A car is filled with 4½ liters of fuel for a round trip.
If the amount of fuel taken while going is 1/4th more than the amount taken for coming, what is the amount of fuel consumed while coming back?
NIMCET 2008 #1999
$\text{Which of the following are greater than } x \text{ when } x=\frac{9}{11}?$
$(I)\ \frac{1}{x}$
$(II)\ \frac{x+1}{x}$
$(III)\ \frac{x+1}{x-1}$
NIMCET 2008 #2000
Four friends – Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep they owned.
Guran has 10 more sheep than Lakha.
Arjan gave one third to Bhuvan, Bhuvan gave one fourth of what he then held to Guran,
Guran passed one fifth of his holding to Lakha.
After this, all had equal number of sheep.
How many sheep did each possess? (Minimum possible)
NIMCET 2008 #2001
In a class, six students $P,Q,R,S,T,U$ are the top six rank holders.
$R$ did not get the 4th rank.
$P$’s rank is higher than $U$’s and $R$’s but lower than $Q$’s.
Four students have ranks lower than $S$, and five students have ranks above $T$.
Who is ranked 5th in the class?
NIMCET 2008 #2002
Three players – Aalu, Kachaalu and Bhalu were playing poker.
At least one cheated.
Exactly one always spoke the truth, one always lied, and one alternated between truth and lie.
Which of the following can never be true?
NIMCET 2008 #2003
If $x$ and $y$ are the two digits of the number $565xy$ such that the number is divisible by $80$, then $x+y$ equals
NIMCET 2008 #2004
If both $7^2$ and $3^3$ are factors of
$a\times11^3\times6^2\times13^{11}$,
then the smallest possible value of $a$ is
NIMCET 2008 #2005
Let $x,y,z$ be distinct integers.
$x$ and $y$ are odd positive integers and $z$ is an even positive integer.
Which of the following cannot be true?
NIMCET 2008 #2006
From a height of $16$ meters a ball fell down and each time it bounces half the distance back.
What is the total distance traveled?
NIMCET 2008 #2007
If a man walks at the rate of $4$ kmph, he misses a train by $6$ minutes.
If he walks at $5$ kmph, he reaches the station $6$ minutes before the train.
Find the distance to the station.
NIMCET 2008 #2008
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretaries
S, T, U, V, W. The management is planning to open a new office in another city using 2 bookkeepers
and 3 secretaries of the present staff. To do so they plan to separate certain individuals who don‟t
function well together. The following guidelines were established to set up the new office:
(i) Bookkeepers P and R are constantly finding fault with one another and should not be sent
together to the new office as a team.
(ii) R and T function well alone but not as a team, they should be separated.
(iii) S and V have not been on speaking terms and shouldn‟t go together.
(iv) Since S and U have been competing for promotion they shouldn‟t be a team.
If $P$ is to be moved as one of the bookkeepers, which of the following cannot be a possible working unit?
NIMCET 2008 #2009
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretaries
S, T, U, V, W. The management is planning to open a new office in another city using 2 bookkeepers
and 3 secretaries of the present staff. To do so they plan to separate certain individuals who don‟t
function well together. The following guidelines were established to set up the new office:
(i) Bookkeepers P and R are constantly finding fault with one another and should not be sent
together to the new office as a team.
(ii) R and T function well alone but not as a team, they should be separated.
(iii) S and V have not been on speaking terms and shouldn‟t go together.
(iv) Since S and U have been competing for promotion they shouldn‟t be a team.
If $R$ and $U$ are moved to the new office, how many combinations are possible?
NIMCET 2008 #2010
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretaries
S, T, U, V, W. The management is planning to open a new office in another city using 2 bookkeepers
and 3 secretaries of the present staff. To do so they plan to separate certain individuals who don‟t
function well together. The following guidelines were established to set up the new office:
(i) Bookkeepers P and R are constantly finding fault with one another and should not be sent
together to the new office as a team.
(ii) R and T function well alone but not as a team, they should be separated.
(iii) S and V have not been on speaking terms and shouldn‟t go together.
(iv) Since S and U have been competing for promotion they shouldn‟t be a team.
If $R$ is sent to the new office, which member of the staff cannot go with $R$?
NIMCET 2008 #2011
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretaries
S, T, U, V, W. The management is planning to open a new office in another city using 2 bookkeepers
and 3 secretaries of the present staff. To do so they plan to separate certain individuals who don‟t
function well together. The following guidelines were established to set up the new office:
(i) Bookkeepers P and R are constantly finding fault with one another and should not be sent
together to the new office as a team.
(ii) R and T function well alone but not as a team, they should be separated.
(iii) S and V have not been on speaking terms and shouldn‟t go together.
(iv) Since S and U have been competing for promotion they shouldn‟t be a team.
If $S$ goes to the new office, which of the following is true?
NIMCET 2008 #2012
Substitutes digits for the letters to make the following relation true
S T I L L
+ W I T H I N
---------------
L I M I T S
Note that the leftmost letter can‟t be zero in any word. Also, there must be a one-to-one mapping
between digits and letters, e.g. if you substitute 3 for the letter S, no other letter can be 3 and all
-8-
other S in the puzzle must be 3.
NIMCET 2008 #2013
12 members were present at a board meeting. Each member shook hands with all of other members before and after the meeting. How many handshakes were there?
NIMCET 2008 #2014
The letters P, Q, R, S, T, U and V represent seven consecutive integers from 22 to 28 (not necessarily in that order).
U is as much less than Q as R is greater than S
V is greater than U
Q is the middle term
P is 3 greater than S
Find the sequence from the lowest value to the highest value.
NIMCET 2008 #2015
There were a total of 10 bicycles and tricycles. If the total number of wheels was 24, how many tricycles were there?
NIMCET 2008 #2016
A person travels on a cycle from home to church on a straight road with wind against him. He took 4 hours to reach there. On the way back he took 3 hours as wind was in the same direction. If there is no wind, how much time does he take to travel from home to church?
NIMCET 2008 #2017
What are the next three numbers in the given series
1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 ?
NIMCET 2008 #2018
In the middle of the confounded desert, there is the lost city of “Ash”. City is 120 miles from start. Each person can carry enough rations for 5 days and max travel per day is 30 miles. Need to reach the city, stay overnight, and return to the coast without running out of supplies. Minimum persons needed?
NIMCET 2008 #2019
A woman took a certain number of eggs to the market and sold some of them.
Next day the number left over was doubled and she sold the same number as the previous day.
On the third day the remainder was tripled, on the fourth day quadrupled, and on the fifth day quintupled.
Each day she sold exactly the same number and finally disposed of her entire stock.
What is the smallest number of eggs she could have taken on the first day and how many did she sell daily?
NIMCET 2008 #2020
The Bulls, Pacers, Lakers and Jazz ran for a contest.
Statements:
• Anup: Either Bulls or Jazz will win.
• Sujit: Bulls will not win.
• John: Neither Jazz nor Lakers will win.
Only one of the three made a correct statement.
Who made the correct statement and who won?
NIMCET 2008 #2021
A certain street has 1000 buildings. A sign-maker is contracted to number the houses from 1 to 1000.
How many zeroes will be needed?
NIMCET 2008 #2022
Examine the following sequence of numbers
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
What are the next two numbers in the given series?
NIMCET 2008 #2023
There were two men standing on a street.
One says: “I have 3 daughters; the product of their ages is 36.”
The other says: “I need more information.”
First adds: “The sum of their ages is equal to the house number across the street.”
Second still needs more information.
Then the first says: “My oldest daughter wears a red dress.”
What is the age of the oldest daughter?
NIMCET 2008 #2024
Three Gold (G) coins, three Silver (S) coins and three Copper (C) coins are arranged in a single row as follow:
G S C G S C G S C
Only 2 adjacent unlike coins can be moved at any one time.
The moved coins must be in contact with at least one other coin in line.
No coin pairs can be reversed.
What is the minimum number of moves required to get all the coins in following order?
C C C S S S G G G
NIMCET 2008 #2025
Mr. and Mrs. Birla and Mr. and Mrs. Tata competed in a Chess tournament. Of the three games played:
1.In only the first game were the two players married to each other.
2.The men won two games and the women won one game.
3.The Birlas won more game than the Tatas.
4.Anyone who lost a game did not play a subsequent game.
Who did not lose a game?
NIMCET 2008 #2026
Of the three numbers, second is twice the first and is also thrice the third.
If the average of three numbers is 44, the largest number is
NIMCET 2008 #2027
Large, medium and small ships are used to bring water.
4 large = 7 small
3 medium = 2 large + 1 small
15 large, 7 medium and 14 small ships made 36 journeys.
In how many journeys would 12 large, 14 medium and 21 small ships bring the same quantity?
NIMCET 2008 #2028
Five Men, P, Q, R, S and T read newspaper.
The one who reads first gives it to R.
The one who reads last had taken it from P.
T was not the first or the last to read.
There were two readers between Q and P.
To whom did Q pass the newspaper?
NIMCET 2008 #2029
An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg.
Raja and Rahim have 60 kg luggage between them and are charged Rs. 1200 and Rs. 2400 respectively.
If the entire luggage belonged to one person, the charge would be Rs. 5400.
What is the weight of Rahim’s luggage?
NIMCET 2008 #2030
A group of 630 children is arranged in rows for a group photograph session.
Each row contains three fewer children than the row in front of it.
What number of rows is not possible?
NIMCET 2008 #2031
Sports (and game) persons P, Q, R, S, T, and U of a university are at the Bangalore Airport. Five of
them are selected players and leaving to participate in the Grand Sports Event in five different
events cricket, chess, carom, badminton and table tennis being held at 5 different cities Mumbai,
Chennai, Kolkata, Delhi and Hyderabad.
(a) P is going to Delhi, but he does not play either cricket or carom.
(b) Q has come to give send off to R, who is a chess player and is not leading to either Mumbai or
Hyderabad.
(c) S is leaving to Kolkata to play table tennis.
(d) U is leaving to Mumbai but he does not play either badminton or cricket.
(e) T is not a selected player.
Who plays badminton?
Who plays badminton?
NIMCET 2008 #2032
Sports (and game) persons P, Q, R, S, T, and U of a university are at the Bangalore Airport. Five of
them are selected players and leaving to participate in the Grand Sports Event in five different
events cricket, chess, carom, badminton and table tennis being held at 5 different cities Mumbai,
Chennai, Kolkata, Delhi and Hyderabad.
(a) P is going to Delhi, but he does not play either cricket or carom.
(b) Q has come to give send off to R, who is a chess player and is not leading to either Mumbai or
Hyderabad.
(c) S is leaving to Kolkata to play table tennis.
(d) U is leaving to Mumbai but he does not play either badminton or cricket.
(e) T is not a selected player.
Cricketer goes to
Cricketer goes to
NIMCET 2008 #2033
Sports (and game) persons P, Q, R, S, T, and U of a university are at the Bangalore Airport. Five of
them are selected players and leaving to participate in the Grand Sports Event in five different
events cricket, chess, carom, badminton and table tennis being held at 5 different cities Mumbai,
Chennai, Kolkata, Delhi and Hyderabad.
(a) P is going to Delhi, but he does not play either cricket or carom.
(b) Q has come to give send off to R, who is a chess player and is not leading to either Mumbai or
Hyderabad.
(c) S is leaving to Kolkata to play table tennis.
(d) U is leaving to Mumbai but he does not play either badminton or cricket.
(e) T is not a selected player.
Player of which game goes to Delhi?
Player of which game goes to Delhi?
NIMCET 2008 #2034
Sports (and game) persons P, Q, R, S, T, and U of a university are at the Bangalore Airport. Five of
them are selected players and leaving to participate in the Grand Sports Event in five different
events cricket, chess, carom, badminton and table tennis being held at 5 different cities Mumbai,
Chennai, Kolkata, Delhi and Hyderabad.
(a) P is going to Delhi, but he does not play either cricket or carom.
(b) Q has come to give send off to R, who is a chess player and is not leading to either Mumbai or
Hyderabad.
(c) S is leaving to Kolkata to play table tennis.
(d) U is leaving to Mumbai but he does not play either badminton or cricket.
(e) T is not a selected player.
Who plays chess and where is he going?
Who plays chess and where is he going?
NIMCET 2008 #2035
Which of the following is (are) true about virtual memory systems that uses pages?
I. The virtual address space can be larger than the amount of physical memory.
II. Programs must be resident in main memory throughout their execution.
III. Pages correspond to semantic characteristics of the program.
NIMCET 2008 #2036
The minimum number of gates needed to implement the Boolean function
f(x, y, z) = z(x + y) + (z̅ + x + y)(x̅ + y̅) is
NIMCET 2008 #2037
NIMCET 2008 #2038
A CPU has an arithmetic unit that adds bytes and then sets its V, C and Z flag as follows:
V-bit is set if arithmetic overflow occurs
C-bit is set if carry-out is generated from the most significant bit
Z-bit is set if the result is zero
What are the values of V, C and Z flag bits respectively after the 8-bit bytes
1100 1100 and 1000 1111 are added?
NIMCET 2008 #2039
NIMCET 2008 #2040
Floating point numbers in a computer are represented using a 10-bit mantissa (including a sign bit) a 7-bit exponent (including a sign bit). What is the approximate value of the maximum number, which can be represented? Assume that the mantissa is stored in the normalized form, that is, without leading zeroes.
NIMCET 2008 #2041
The capacity of a memory unit is defined by the number of words multiplied by the number of bits per word. How many separate address and data line are needed for a memory of 4K × 16?
NIMCET 2008 #2042
NIMCET 2008 #2043
Let A [1… 10] be an array. Let A [i] = 2i for 1 ≤ i ≤ 10. After the assignment j = A[A[5]] is executed, the value of A[j] is equal to
NIMCET 2008 #2044
NIMCET 2008 #2045
NIMCET 2008 #2046
NIMCET 2008 #2047
The addition of 4 bit, 2’s Given, √(224)ᵣ = (13)ᵣ, the value of radix r iscomplement binary numbers 1101 and 0100 results in
NIMCET 2008 #2048
Let A = 11111010 and B = 00001010 be two 8 bit 2’s complement numbers. Their product in 2’s complement is
NIMCET 2008 #2049
NIMCET 2008 #2050
NIMCET 2008 #2051
Read the following sentence and choose one underlined word or phrase that would not be appropriate in standard English.
One of "the chair’s legs" was broken and the upholstery "needed" mending.
NIMCET 2008 #2052
Each sentence given in the questions has two blanks, each blank indicating that something has been
omitted. Beneath the sentence are four sets of words. Choose the set of words for each blank that best
fits the meaning of the sentence as whole.
Greek philosophers tried to ______ contemporary notions of change and stability by postulating
the existence of the atom, ____________ particle from which all varieties of matter are formed.
NIMCET 2008 #2053
Each sentence given in the questions has two blanks, each blank indicating that something has been
omitted. Beneath the sentence are four sets of words. Choose the set of words for each blank that best
fits the meaning of the sentence as whole.
The Tata Group will need all its considerable management ______ and ______ to manage tough challenges ahead after taking over Corus Steel.
NIMCET 2008 #2054
In each of the following questions, a related pair of words or phrases is followed by four pairs of words
or phrases. Select the pair that best expresses a relationship similar to that expressed in the original
pair.
INFLAMMABLE : IGNITED : : ___________: ____________