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Nimcet-2023

120 Questions • Previous Year Paper

Question 1

+12-3
Letf(x)=(x2−1)(∣x∣−1)f(x)=\dfrac{(x^{2} -1)}{(|x|-1)} . Then the value of lim⁡x→−1{\mathop{\lim }\limits_{x\to -1}} f(x) is
A
-1
B
1
C
2
D
3

Question 2

+12-3
Box A contain 4 green , 5 black and 6 white balls. Box B contains 5 green, 3 black and 2 white balls. A balls is chosen at random from the box A and placed in Box B and then a ball is chosen at random from box B. What is the probability that a black ball was transferred from box A to box B given that the final ball chosen from box B is green?
A
30/79
B
25/79
C
24/79
D
None of these

Question 3

+12-3
If a vector having magnitude of 5 unites , makes equal angle with each of the three mutually perpendicular axes, then the sum of the magnitude of the represents the height of the pillar?
A
15/3 unit
B
535\sqrt{3} unit
C
1532\frac{15\sqrt{3} }{2} unit
D
None of these

Question 4

+12-3
A line segment AB of length 10m is passing through the foot of the perpendicular of a pillar, which is standing at right angle to the ground . Top of the pillar subtends angles tan⁡−13\tan ^{-1} 3 and tan⁡−12\tan ^{-1} 2 at A and B respectively. Which of the following choice represents the height of the pillar?
A
10m
B
8m
C
12m
D
15m

Question 5

+12-3
A real valued function f is define as f(x)={−1−2≤x≤0x−10≤x≤2f(x)=\left\{\begin{array}{cc} {-1} & {-2\le x\le 0} \\ {x-1} & {0\le x\le 2} \end{array}\right. \newline Which of the following statement is FALSE?
A
f(∣x∣)=∣x∣−1,if0≤x≤1f(|x|)=|x|-1,if0\le x\le 1
B
∣f(x)∣=x−1,if1≤x≤2|f(x)|=x-1,if1\le x\le 2
C
f(∣x∣)+∣f(x)∣=1,if0≤x≤1f(|x|)+|f(x)|=1,if0\le x\le 1
D
f(∣x∣)−∣f(x)∣=0,if1≤x≤2f(|x|)-|f(x)|=0,if1\le x\le 2

Question 6

+12-3
Which of the following number is the coefficient of x100x^{100} in the expansion of log⁡e(1+x1+x2),∣x∣<1\log _{e} \left(\dfrac{1+x}{1+x^{2} } \right),|x|<1?
A
0.01
B
0.02
C
-0.03
D
-0.01

Question 7

+12-3
The range of values of θ\theta in the interval (0,π)(0,\pi ) such that the points (3,2) and (cos⁡θ,sin⁡θ)(\cos \theta ,\sin \theta )lie on the same sides of the line x+y-1=0, is
A
(0,3π4)\left(0,\frac{3\pi }{4} \right)
B
(0,π2)\left(0,\frac{\pi }{2} \right)
C
(0,π3)\left(0,\frac{\pi }{3} \right)
D
(0,π4)\left(0,\frac{\pi }{4} \right)

Question 8

+12-3
If ∣x−6∣=∣x2−4x∣−∣x2−5x+6∣|x-6|=|x^{2} -4x|-|x^{2} -5x+6|, where x is a real variable.
A
x=(2,5)
B
x∈[2,3]∪[6,∞)x\in [2,3]\cup [6,\infty )
C
R-[2,6]
D
None of these

Question 9

+12-3
Let R be reflexive relation on the finite set a having 10 elements and if m is the number of ordered pair in R, then
A
m≥10m\ge 10
B
m=100
C
m=10
D
m≤10m\le 10

Question 10

+12-3
θ=cos⁡−1(320)\theta =\cos ^{-1} \left(\dfrac{3}{\sqrt{20} } \right) is the angel between a=iundefined−2xjundefined+3ykundefineda=\widehat{i}-2x\widehat{j}+3y\widehat{k} and b=xiundefined+jundefined+ykundefinedb=x\widehat{i}+\widehat{j}+y\widehat{k} then possible values at (x, y) that lie on the locus
A
(0,1)
B
(1,0)
C
(1,1)
D
(0,0)

Question 11

+12-3
If∫xsin⁡xsec⁡3xdx=12[f(x)sec⁡2x+g(x)(tan⁡xx)]+c\int x\sin x\sec ^{3} xdx=\dfrac{1}{2} \left[f(x)\sec ^{2} x+g(x)\left(\dfrac{\tan x}{x} \right)\right] +c then which of the following is true
A
f(x)-g(x)=0
B
f(x).g(x)=0
C
f(x)+g(x)=0
D
f(x)+g(x)=1

Question 12

+12-3
A point P in the first quadrant, lies on y2=4ax,a>0,y^{2} =4ax,a>0, and keeps a distance of 5a units from its focus . Which of the following points lies on the locus of P ?
A
(1,0)
B
(1,1)
C
(0,2)
D
(2,0)

Question 13

+12-3
The negative of∼S∨(∼R∧S)\sim S\vee (\sim R\wedge S)is equivalent to
A
S∨(R∨−S)S\vee (R\vee -S)
B
S∧∼RS\wedge \sim R
C
S∧RS\wedge R
D
S∧(R∧∼S)S\wedge (R\wedge \sim S)

Question 14

+12-3
.Let a, b, c, d be non zero numbers. If the p oint of intersection of the line 4ax+2ay+c=0 and 5bx +2by+d=0 lies in the fourth quadrant and is equidistance from the two are then
A
a+b+c+d=0
B
ad-bc=0
C
3 bc-2ad=0
D
3bc+2ad=0

Question 15

+12-3
If n1n_{1} and n2n_{2} are the number of real valued solutions x=∣sin⁡−1x∣x=|\sin ^{-1} x| and x=sin(x) respectively, then the value of n2−n1n_{2} -n_{1} is
A
1
B
0
C
2
D
3

Question 16

+12-3
Number of points of which f(x) is not differentiable f(x)=∣cos⁡x∣+3f(x)=|\cos x|+3 in [−π,π][-\pi ,\pi ]
A
2
B
3
C
4
D
None of these

Question 17

+12-3
Ifxk=cos⁡(2πkn)+isin⁡(2πkn)x_{k} =\cos \left(\dfrac{2\pi k}{n} \right)+i\sin \left(\dfrac{2\pi k}{n} \right) then ∑k=1nxk\sum _{k=1}^{n}x_{k} =?
A
1
B
-1
C
0
D
None of these

Question 18

+12-3
The coefficient of x50x^{50} in the expression of (1+x)1000+2x(1+x)999+3x2(1+x)998+...(1+x)^{1000} +2x(1+x)^{999} +3x^{2} (1+x)^{998} +...1001x10001001x^{1000}
A
1005C50{}^{1005} C_{50}
B
1005C48{}^{1005} C_{48}
C
1002C50{}^{1002} C_{50}
D
1002C51{}^{1002} C_{51}

Question 19

+12-3
The maximum value of f(x)=(x−1)2(x+1)3f(x)=(x-1)^{2} (x+1)^{3} is equal to 2p3q3125\dfrac{2^{p} 3^{q} }{3125} , then the ordered pair of (p, q) will be
A
(3,7)
B
(7,3)
C
(5,5)
D
(4,4)

Question 20

+12-3
If f(x) is a polynomial of degree 4, f(n)=n+1 and f(0)=25, then find f(5)=?
A
30
B
20
C
25
D
None of these

Question 21

+12-3
Between any two real roots of the equation exsin⁡x=1e^{x} \sin x=1, then equation excos⁡x=−1e^{x} \cos x=-1 has
A
atleast one root
B
exactly one root
C
no root
D
None of these

Question 22

+12-3
A bag contain different kind of balls in which 5 yellow,4 black and 3 green balls. If 3 balls are drawn at random, then find the probability that no black ball is chosen.
A
14/55
B
1/66
C
2/9
D
None of these

Question 23

+12-3
If A and B are square matrices such that B=−A−1BA-A^{-1} BA, then (A+B)2(A+B)^{2} is
A
0
B
A2+B2A^{2} +B^{2}
C
A2+2AB+B2A^{2} +2AB+B^{2}
D
A+B

Question 24

+12-3
Given two events A and B such that odd in favour A are 2 : 1 and odd in favour of A∪BA\cup B are 3 : 1. Consistent with this information the smallest and largest value for the probability of event B are given by
A
112≤P(B)≤34\dfrac{1}{12} \le P(B)\le \dfrac{3}{4}
B
13≤P(B)≤12\dfrac{1}{3} \le P(B)\le \dfrac{1}{2}
C
16≤P(B)≤13\dfrac{1}{6} \le P(B)\le \dfrac{1}{3}
D
None of these

Question 25

+12-3
Largest value of cos⁡2θ−6sin⁡θcos⁡θ+3sin⁡2θ+2\cos ^{2} \theta -6\sin \theta \cos \theta +3\sin ^{2} \theta +2
A
4
B
0
C
4+104+\sqrt{10}
D
4−104-\sqrt{10}

Question 26

+12-3
If the equation ∣x2−6x+8∣+a|x^{2} -6x+8|+a has four real solution, then find the value of a ?
A
a∈0a\in 0
B
a=1a=1
C
a∈(0,1)a\in (0,1)
D
a∈[1,2]a\in [1,2]

Question 27

+12-3
The graph of function f(x)=log⁡e(x3+x6+1)f(x)=\log _{e} (x^{3} +\sqrt{x^{6} +1)} is symmetric about
A
x-axis
B
y-axis
C
origin
D
y=x

Question 28

+12-3
lim⁡x→1x4−1x−1=lim⁡x→kx3−k2x2−k2{\mathop{\lim }\limits_{x\to 1}} \dfrac{x^{4} -1}{x-1} ={\mathop{\lim }\limits_{x\to k}} \dfrac{x^{3} -k^{2} }{x^{2} -k^{2} } , then find k.
A
8/3
B
4/3
C
2/3
D
1

Question 29

+12-3
∫f(x)dx=g(x),\int f(x)dx=g(x), then ∫x5f(x3)dx\int x^{5} f(x^{3} )dx
A
13x3g(x3)−3∫x4g(x3)dx+c\dfrac{1}{3} x^{3} g(x^{3} )-3\int x^{4} g(x^{3} )dx+ c
B
13x3g(x3)−∫x2g(x3)dx+c\dfrac{1}{3} x^{3} g(x^{3} )-\int x^{2} g(x^{3} )dx+ c
C
13x3g(x3)−∫x3g(x3)dx+c\dfrac{1}{3} x^{3} g(x^{3} )-\int x^{3} g(x^{3} )dx+ c
D
None of the above

Question 30

+12-3
If a, b are unit vectors such that 2a+b=3, then which of the following statement is true ?
A
a is parallel to b
B
a is perpendicular to b
C
a is perpendicular to 2a+b
D
b is parallel to 2a +b

Question 31

+12-3
If a=iundefined−kundefined,b=xiundefined+jundefined+(1−x)kundefineda=\widehat{i}-\widehat{k},b=x\widehat{i}+\widehat{j}+(1-x)\widehat{k} and c=yiundefined+xjundefined+(1+x−y)kundefinedc=y\widehat{i}+x\widehat{j}+(1+x-y)\widehat{k} then [a b c] depends on
A
neither x nor y
B
only x
C
only y
D
both x and y

Question 32

+12-3
The locus of the mid - point of all chords of the parabola y2=4xy^{2} =4x which are through its vertex is
A
y2=8xy^{2} =8x
B
y2=2xy^{2} =2x
C
y2+4y2=16y^{2} +4y^{2} =16
D
x2=2yx^{2} =2y

Question 33

+12-3
Find foci of the equation x2+2x−4y2+8y−7=0x^{2} +2x-4y^{2} +8y-7=0
A
(5±1,1)(\sqrt{5} \pm 1,1)
B
(−1±5,1)(-1\pm \sqrt{5} ,1)
C
(−1,5±1)(-1,\sqrt{5} \pm 1)
D
(1,−1±5)(1,-1\pm \sqrt{5} )

Question 34

+12-3
If a, b, c, d are in HP and arithmetic mean of ab, bc, cd, is 9, then which of the following number is the value of ad ?
A
3
B
9
C
12
D
4

Question 35

+12-3
Let A and B be two sets, A∩X=B∩X=ϕA\cap X=B\cap X=\phi and A∪X=B∪XA\cup X=B\cup X for some set X, then find relation between A and B.
A
A=B
B
A∪B=XA\cup B=X
C
B=X
D
A=X

Question 36

+12-3
Let A=2iundefined+jundefined−2kundefinedA=2\widehat{i}+\widehat{j}-2\widehat{k} and B=iundefined−jundefinedB=\widehat{i}-\widehat{j}. If C is a vector such that C-A=3 and the angle between A×BA\times B and c is 30, then [(A×B)×c]=3[(A\times B)\times c]=3. Then, the value of A.C is equal to
A
25/8
B
2
C
5
D
1/8

Question 37

+12-3
If a\textbf{a} and b \textbf{b } are vector in space , given by a=iundefined−2jundefined5a=\dfrac{\widehat{i}-2\widehat{j}}{\sqrt{5} } and a=2iundefined+jundefined+3kundefined14a=\dfrac{\widehat{2i}+\widehat{j}+3\widehat{k}}{\sqrt{14} } , then the value of (2a+b).[(a×b)×(a−2b)](2a+b).[(a\times b)\times (a-2b)]is
A
3
B
4
C
5
D
6

Question 38

+12-3
A speaks truth in 60% and B speaks the truth in 50% cases. In what percentage of cases they are likely in contradict each other while narrating some incident is
A
1/2
B
1/4
C
2/3
D
1/3

Question 39

+12-3
If ∏i=1ntan⁡(αi)=1∀αi∈[0,π2]\prod _{i=1}^{n}\tan (\alpha _{i} )=1\forall \alpha _{i} \in \left[0,\frac{\pi }{2} \right] where i=1,2,3,…{\dots}..,n. Then , maximum value of ∏i=1nsin⁡αi\prod _{i=1}^{n}\sin \alpha _{i}
A
12n\frac{1}{2^{n} }
B
12n/2\frac{1}{2^{n/2} }
C
1
D
None of these

Question 40

+12-3
The equation of the tangent at any point of curve x=αcos⁡2t,y=22αsin⁡x=\alpha \cos 2t,y=2\sqrt{2\alpha } \sin t with m as its slope is
A
y=mx+a(m−1m)y=mx+a\left(m-\frac{1}{m} \right)
B
y=mx−a(m+1m)y=mx-a\left(m+\frac{1}{m} \right)
C
y=mx+a(a+1a)y=mx+a\left(a+\frac{1}{a} \right)
D
y=amx+a(m−1m)y=amx+a\left(m-\frac{1}{m} \right)

Question 41

+12-3
The value of ∫−π/3π/3xsin⁡xcos⁡2xdx\int _{-\pi /3}^{\pi /3}\dfrac{x\sin x}{\cos ^{2} x} dx is
A
13(4π+1)\dfrac{1}{3} (4\pi +1)
B
4π3−2log⁡tan⁡5π12\dfrac{4\pi }{3} -2\log \tan \dfrac{5\pi }{12}
C
4π3+log⁡tan⁡5π12\dfrac{4\pi }{3} +\log \tan \dfrac{5\pi }{12}
D
4π3−log⁡tan⁡5π12\dfrac{4\pi }{3} -\log \tan \dfrac{5\pi }{12}

Question 42

+12-3
The sum of infinite terms of decreasing GP is equal to the greatest value of the function f(x)=x3+3x−9f(x)=x^{3} +3x-9 in the interval [−2,3]\left[-2,3\right] and difference between the first two terms is f′f'(0). Then , the common ratio of the GP is
A
−23-\dfrac{2}{3}
B
4/3
C
2/3
D
−43-\dfrac{4}{3}

Question 43

+12-3
If f(x)=lim⁡x→06x−3x−2x+1log⁡e9(1−cos⁡x)f(x)={\mathop{\lim }\limits_{x\to 0}} \dfrac{6^{x^{} } -3^{x} -2^{x} +1}{\log _{e} 9(1-\cos x)} is a real number then lim⁡x→0f(x)={\mathop{\lim }\limits_{x\to 0}} f(x)=
A
2
B
3
C
log⁡e2\log _{e} 2
D
log⁡e3\log _{e} 3

Question 44

+12-3
Consider the following frequency distribution table. If the total frequency is 685 and median is 42.6, then the values of F1F_{1} and F2F_{2} are
Question 44 Image
A
80,25
B
83,22
C
79,26
D
82,23

Question 45

+12-3
For a group of 100 candidates, the mean and standard deviation of scores were found to be 40 and 15 respectively . Later on , it was found that the scores 25 and 35 were misread as 52 and 53 respectively. Then the corrected mean and standard deviation corresponding to the corrected figures are
A
39.9,14.97
B
39.5,14
C
39.55,14.97
D
40.19,15.1

Question 46

+12-3
In an examination of nine papers, a candidate has to pass in more papers then the number of papers in which he fails in order to be successful . The number of ways he can be unsuccessful is
A
255
B
256
C
128
D
9×8!9\times 8!

Question 47

+12-3
The perimeter of a △ABC\triangle ABC is 6 times the arithmetic mean of the sines of its sines of its angles. If the side α\alpha is 1, then the angle A is
A
π/6\pi /6
B
π/3\pi /3
C
π/2\pi /2
D
π\pi

Question 48

+12-3
The mean of 5 observation is 5 and their variance is 124. If three of observation are 1,2 and 6; then the mean deviation from the mean of the data is
A
2.5
B
2.6
C
2.8
D
2.4

Question 49

+12-3
A computer producing factory has only two plants T1T_{1} and T2T_{2} . Plant T1T_{1} produces 20% and plant T2T_{2} produces 80% of total computer produced. 7% of computers produced in the factory turn out to be defective. It is known that P (computer turns out to be defective given that it is produced in plant T1T_{1} )=10P (computers turns out to be defective given that it is produced in plant T2T_{2} ), where P(E) denotes the probability of an event E. A computer produced in the factory is randomly selected and it does not turn out to be defective .Then , the probability that it is produced plant T2T_{2} is
A
36/73
B
47/79
C
78/93
D
75/83

Question 50

+12-3
A circle touches the x-axis and also touches the circle with center (0,3) and radius 2. The locus of the centre of the circle is
A
a circle
B
an ellipse
C
a parabola
D
a hyperbola

Question 51

+6-1.5
If 3 is subtracted from the middle digit of each of the following numbers and then the position of the digits are reversed, which of the following will be last digit of the middle number after they are arranged in descending order? \newline 589 362 554 371 442
A
3
B
2
C
4
D
1

Question 52

+6-1.5
For security reasons, a bank manager decided to encrypt the account number in the server. If A/C No. 46873 is coded as 91317157, then 52191 is coded as
A
4108041
B
5219152
C
1153193
D
1043293

Question 53

+6-1.5
A vessel contains total 95 litre mixture of milk & water in the ratio of 15 : 4 respectively P litre of mixture taken out from the vessel and 18 litres water added in the remaining mixture, then the new ratio of milk to water becomes 3 : 2, find the value of P?
A
57
B
19
C
27.5
D
38

Question 54

+6-1.5
Fill the blanks with the most appropriate combination of options. \newline Further, to augment bond market liquidity, corporates need to be encouraged to ______________\_\_\_\_\_\_\_\_\_\_\_\_\_\_ exiting bonds under the same International Securities Identification Number, to duly shore up floating ___________\_\_\_\_\_\_\_\_\_\_\_.
A
affect, negotiate
B
abandon, imply
C
precaution, abstract
D
reissue, stocks

Question 55

+6-1.5
In a reality show, two judges independently provided marks based on the performance of the participants. If the marks provided by the second judge are given by y = 1 + x, where x is the marks provided by the first judge. Then for a participant
A
Ranks given by both the judge differ by 2
B
Rank given by the second judge is more than that of the first judge
C
Ranks given by both the judges are same.
D
Rank given by the first judge is more than that of the second judge

Question 56

+6-1.5
If `E' stands for +, `F' stands for `-', `M' stands for `×\mathrm{\times}', `N' stands for ` ?', then 19 M 5 E 39 N 3 F 8 = ?
A
105
B
100
C
95
D
90

Question 57

+6-1.5
A junior school is offering five after-school activities - Karate, Handwork, Music Dance and Gymnastics. Each of the five students - Leena, Megan, Neha, Omar and Pixia has subscrived to at least one activity. As per the school rules, anyone who subscribes to Gymnastics must also subscribe to Dance. Karate and Handwork must always be subscribed together. Music and Dance cannot be subscribed together. \newline The following information is available about the student's subscriptions. \newline Megan subscribed to four activities. \newline Leena subscribed to Gymnastics but not Karate. \newline Pixie subscribed to only one activity and is the only one subscribe to that activity. \newline Omar subscribed to three activities. \newline Neha subscribed to only one activity. \newline How many activities are subscribed by exactly two people each?
A
1
B
4
C
2
D
3

Question 58

+6-1.5
If the word IMPACT is coded as RNKZXG, then which of the following represents the code for the word DESCEND?
A
WVHXVMW
B
MNBLNWM
C
MFBDFOM
D
MFBDNOM

Question 59

+6-1.5
Statement: \newline No table is chair. \newline Not a single chair is stand. \newline Ever stand is statue. \newline Conclusion: \newline 1. Some statue which are stand are table as well. \newline 2. Some statue are not chair.
A
If neither conclusion 1 nor 2 follow
B
If only conclusion 1 follows
C
Only conclusion 2 follows
D
None of these

Question 60

+6-1.5
On Monday, Akash run 4 km less than the distance he ran on Tuesday. Sanjay, who ran the same distance on Monday and Tuesday, ran 5 km more on Tuesday than the distance Akash ran on Monday. Find the difference between the distance covered by Akash and Sanjay over the two days.
A
5 km
B
6 km
C
4 km
D
9 km

Question 61

+6-1.5
Two friends A and B were standing at the diagonally opposite corners of a rectangular plot whose perimeter is 100m. A first walked x meters along the length of the plot towards East and then y meters towards the South. B walked x meters along the breadth towards North and then y meters towards West. At the end of their walks, A and B were standing at the diagonally opposite corners of a smaller rectangular plot whose perimeter is 40m. How much distance did A walk?
A
15
B
40
C
25
D
50

Question 62

+6-1.5
Arrange in correct order \newline (1 )Database (2) Analysis (3) Survery (4)Policy formation (5) Interpretation
A
2, 1, 5, 3, 4
B
5, 4, 3, 1, 2
C
3, 1, 2, 4, 5
D
3, 1, 2, 5, 4

Question 63

+6-1.5
In the half yearly exam only 60% of the student were passes. Out of these (passed in half-yearly) only 70% students are passed in annual exam, out of remaining students (who fail in half-yearly exam) 80% passed in annual exam. What percent of the students passed the annual exam?
A
76%
B
72%
C
74%
D
65%

Question 64

+6-1.5
In the given word ``LAVISHLY'' if all the consonants replaced with its previous letter and all the vowels replaced with its next letter after that remove all the repeated letter and arranged them in alphabetical order then, which of the following letters is 3rd from the left end
A
R
B
U
C
J
D
G

Question 65

+6-1.5
If DENMARK in coded on FCPKCPM Then code SINGAPORE of which option.
A
UGPECNQPG
B
UGPFCNRPG
C
UGPEDNQTC
D
UGPECNQTC

Question 66

+6-1.5
If 20 - 10 means 200, 8÷\mathrm{\div}4 mean 12, 6×\mathrm{\times}2 means 4 then [(100-10) ×\mathrm{\times} (1000÷\mathrm{\div}1000) + (100×\mathrm{\times}10)]=
A
20
B
0
C
1090
D
None of these

Question 67

+6-1.5
Rajdhani Train running at a speed of 54 km/hr crosses a platform of length same as that of the train in 36 sec. If a Duranto train, which is 230 meters long crosses the same platform in 25 sec, then find speed of Duranto train (in km/hr)?
A
54 km/h
B
72 km/h
C
84 km/h
D
90 km/hr

Question 68

+6-1.5
Hemant deposits 10% of his salary in PF. He saves 30% of remaining salary. The ratio of his expenses on medicine and groceries is 3 : 4 of remaining salary after saving. If his expenses in medicine was Rs. 2700, then find his monthly salary.
A
Rs. 30,000
B
Rs. 20,000
C
Rs. 10,000
D
Rs. 15,000

Question 69

+6-1.5
Three persons A, B and C are standing in queue. There are five persons between A and B and eight persons between B and C. If there are three persons ahead of C and 21 behind A, then what could be the minimum number of persons in the queue?
A
40
B
27
C
28
D
41

Question 70

+6-1.5
Study the diagram and answer the question that follows: \newline How many players are there who are girls but not a coach?
Question 70 Image
A
16
B
31
C
15
D
61

Question 71

+6-1.5
Identify the next two numbers in the following sequence: 17, 20, 9, 12, 5, 6, 3, 2, ?, ?
A
(0, 2)
B
(1, 2)
C
(2, 0)
D
(2, 1)

Question 72

+6-1.5
Statements: \newline Statement I: At most teachers are boys. \newline Statement II: Some boys are students. \newline Conclusion: \newline I. Some teacher are students. \newline II. Some students are boys.
A
Neither I or II follows
B
Neither I nor II follows
C
Only II follows
D
Only I follows

Question 73

+6-1.5
Yamini has at least two sisters younger than her, Rakhi, Pooja, Yamini and Sweta are four sisters. Pooja is younger than Rakhi who is not oldest. Sweta is older than Pooja but younger than rakhi, then who is oldest among them?
A
Sweta
B
Yamini
C
Pooja
D
Rakhi

Question 74

+6-1.5
A university is offering elective courses in Mathematics, Economics and Sociology. Each of its 100 undergraduate students has to opt for at least one of these electives. Course enrollment data showed that 47 students enrolled for Mathematics, 47 students enrolled for Economics and 57 students enrolled for Sociology. If 7 students enrolled for all three courses, how many students enrolled for exactly one course?
A
60
B
56
C
58
D
Can't say

Question 75

+6-1.5
Ritu purchased 20 dozen of Banana at the rate of Rs. 375 per dozen. She sold each one of them at the rate of Rs. 33. What was the percentage profit.
A
12.3%
B
5.6%
C
6.5%
D
10%

Question 76

+6-1.5
Hari invested an amount at a certain rate of interest on simple interest and he got 60% more amount after 8 years. If he invests Rs. 9600 at the same rate of interest on simple interest then find total interest he would get after four years.
A
Rs. 2520
B
Rs. 2260
C
Rs. 2880
D
Rs. 2160

Question 77

+6-1.5
Rakesh says to Mahesh - ``I am as old as you were when I was one-third as you are''. If the sum of their ages is 60 years, find the present age of the Mahesh (in years).
A
45
B
36
C
30
D
24

Question 78

+6-1.5
A 30 litres mixture of milk and water 10% water. How much milk should be added so that the percentage of water in the mixture in the mixture comes down to 2%?
A
120
B
80
C
90
D
60

Question 79

+6-1.5
Deepa moved a distance of 75 meter towards the north. She then turned left and walking for about 25 meters, turned left again and waked 80 meters. Finally, she turned to the right at an angle of 45o. In which direction was she moving finally?
A
North - East
B
North - West
C
South - East
D
South - West

Question 80

+6-1.5
Thirty-six vehicles are parked in a parking lot in a single row. After the first car, there is one scooter. After the second car, there are two scooters. After the third car, there are three scooters and so on. Work out the number of scooter in the second half row.
A
15
B
17
C
12
D
10

Question 81

+6-1.5
A can do a piece of work in 10 days and B can do a work in 20 days after 4 days B left and C joins then A and C to work together in 2 days. In how many days C alone do the work
A
12 days
B
15 days
C
10 days
D
20 days

Question 82

+6-1.5
Find a number from the given options which best completes the series: 39, 416, 525, ........, 749, 864
A
439
B
436
C
636
D
644

Question 83

+6-1.5
How many meaningful words can be formed with the first, the third, the seventh and the ninth letters of the word SEPERATION using each letter only once in each word?
A
3
B
4
C
more than 4
D
2

Question 84

+6-1.5
Which of the following can be formed from ``RECCOMMENDATION'' word letters
A
MEDIATE
B
COMMUNICATE
C
MEDICINE
D
REMAINDER

Question 85

+6-1.5
If yellow is called white, white is called black, black is called green, green is called pink, pink is called blue and blue is called water, what is the color of sky.
A
Black
B
Water
C
White
D
Blue

Question 86

+6-1.5
P, Q, R, S, T, U, V, W are sitting around a table in the same order, for group discussion at equal distances. Their position are clockwise. If V sit in north, then what will be the position of `S'
A
East
B
South
C
South - East
D
South - West

Question 87

+6-1.5
A sum of money distributed among four person P, Q, R, S in ratio 2 : 5 : 4 : 3. If Q get Rs. 2000 more than S, then what will be the total amount
A
18000
B
16000
C
14000
D
15000

Question 88

+6-1.5
Book : Publisher : : Film : ?
A
Director
B
Producer
C
Editor
D
Writer

Question 89

+6-1.5
Pointing towards a person in the photograph, Anjali said, ``He is the only son of the father of my sister's brother''. How is that person related to Anjali?
A
father
B
mother
C
cousing
D
None of these

Question 90

+6-1.5
Complete the series: 3, 10, 24, 45, 73, ......
A
69
B
91
C
108
D
121

Question 91

+6-1.5
Suppose we have a 10-bit computer that uses 10-bit floating point computational unit (Flot number uses IEEE floating-point arithmetic where a floating-point number has 1 sign bit, 5 exponent bits, and 4 fraction bits). The representation for +∞\mathrm{\infty} (plus infinity) is
A
0 11111 0000
B
1 11111 0000
C
0 00000 1111
D
0 11111 1111

Question 92

+6-1.5
Let ⊕\oplus and ⊙\odot denote the Exclusive-OR and Exclusive-NOR operations respectively. Which one of the following is not correct?
A
Pˉ⊕Qˉ=P⊙Q\bar{P}\oplus \bar{Q}=P\odot Q
B
Pˉ⊕Q=P⊙Q\bar{P}\oplus Q=P\odot Q
C
Pˉ⊕Qˉ=P⊕Q\bar{P}\oplus \bar{Q}=P\oplus Q
D
(P⊕Pˉ)⊕Q=(P⊙Pˉ)⊙Qˉ(P\oplus \bar{P})\oplus Q=(P\odot \bar{P})\odot \bar{Q}

Question 93

+6-1.5
Which of the following is true about Von Newmann architecture?
A
It has separate storage for input/output operations
B
It has a separate processing unit for data and instructions
C
It has separate memory for data and instructions
D
It has a single memory unit for both data and instructions

Question 94

+6-1.5
A CPU generates 32-bit virtual addresses. The page size is 4 KB. The processor has a translation look-aside buffer (TLB) which can hold a total of 128-page table entries and is 4-way set associative. The minimum size of the TLB tag is:
A
13 bits
B
20 bits
C
11 bits
D
15 bits

Question 95

+6-1.5
Equavalent of the decimal number (25.375)10{}_{10} in binary form
A
(11001.011) 10{}_{\ 10}
B
(11101.011) 10{}_{\ 10}
C
(11011.111) 10{}_{\ 10}
D
(11001.101) 10{}_{\ 10}

Question 96

+6-1.5
What is the name of the storage device that compensates the difference in rates of flow of data from one device to another?
A
Cache
B
Buffer
C
Concentrator
D
RAM

Question 97

+6-1.5
Consider the following Boolean expression for F: F(P, Q, R, S) = PQ+P'QR+P'QR'S . The minimum sum of products form of F is
A
PQ + QR + QS
B
P + Q + R + S
C
P'+Q'+R'+S'
D
P'R+P'R'S+P

Question 98

+6-1.5
Suppose we have a 10-bit computer that uses 10-bit into (2's complement representation). The number representation of -35
A
0000100011
B
1100100011
C
1111011101
D
1111011101

Question 99

+6-1.5
The reduced form of the Boolean function F = xyz + xyz' + x'yz +zy'z is
A
xy + yz
B
x + yz + xz
C
x + y + z
D
xy + yz + xz

Question 100

+6-1.5
Consider the following minterm expression for F : F(P, Q, R, S) = ? 0, 2,5,7,8,10,13,15. The minters 2, 7, 8 and 13 are don't care terms. The minimal sum of products form for F is
A
Q'S + QS'
B
Q'S' + QS
C
Q'R'S' + Q'RS' + QR'S + QRS
D
P'Q'S' + P'QS + PQS + PQ'S'

Question 101

+6-1.5
A wrong sentence related to FAT 32 and NTFS file system is
A
FAT 32 has lower disk utilisation compared to NTFS
B
Read and Write speeds of NTFS are faster than that of FAT 32
C
FAT 32 store individual files of size up to 32 GB
D
NTFS stands for New Technology File System

Question 102

+6-1.5
What is a potential problem of 1's complement representation of numbers?
A
Binary substructions are not possible
B
There are two different representations of zero
C
Multiplication of two numbers cannot be carried out
D
Binary additions are not possible.

Question 103

+6-1.5
A bulb in the staircase has two switches, one switch is at the ground floor and the other one is at the first floor. The bulb can be turned ON and also can be turned OFF by any of the switches irrespective of the state of the other switch. The logic of the switching of the bulb resembles.
A
XOR Gate
B
AND Gate
C
OR Gate
D
XNOR Gate

Question 104

+6-1.5
The number of minters in a n variable truth table is
A
n2{}^{2}
B
(n - 1)2{}^{2}
C
2n{}^{n}
D
2n−1{}^{n-1}

Question 105

+6-1.5
How many 32K ×\mathrm{\times} 1 RAM chips are needed to provided a memory capacity of 256 K bytes?
A
8
B
128
C
64
D
32

Question 106

+6-1.5
Which of the following registers is used to keep track of address of memory location where the next instruction is located?
A
Program counter
B
Memory Address Register
C
Memory data register
D
Instruction counters

Question 107

+6-1.5
If a processor clock is rated as 2500 million cycles per seconds, then its clock period is
A
2.50 ×\mathrm{\times} 10−10{}^{-10}sec
B
4.0 ×\mathrm{\times} 10−10{}^{-10} {}^{\ }sec
C
1.0 ×\mathrm{\times} 10−10{}^{-10} sec
D
5.0 ×\mathrm{\times} 10−10{}^{-10} sec

Question 108

+6-1.5
Consider the circuit shown below and find minimum number of NAND gates required to design it.
Question 108 Image
A
4
B
6
C
3
D
5

Question 109

+6-1.5
The time required for fetching & execution one machine instruction is
A
Delay time
B
CPU cycle
C
Real time
D
Seek time

Question 110

+6-1.5
The maximum and minimum value represented in signed 16 bit 2's complement representations are
A
-16684 and 16383
B
0 and 32767
C
0 and 65535
D
-32678 and 32767

Question 111

+4-1
Antonym for ``Spendthrift'' is
A
Profligate
B
Extravagant
C
Frugal
D
Squanderer

Question 112

+4-1
Choose the best option that indicates the change of voice for the sentence given below: They sent for a doctor because Pamela had fainted
A
Pamela fainted and a doctor was sent for
B
A doctor was sent for them because Pamela has fainted
C
A doctor was sent for because Pamela had fainted
D
Pamela had sent for a doctor because they had fainted

Question 113

+4-1
Meaning of ``Abrogate'' is
A
Abolish
B
Absorb
C
Abstract
D
Ablaze

Question 114

+4-1
Select the most appropriate preposition to fill in the blank. \newline We haven't been to Delhi ______\_\_\_\_\_\_ almost five years.
A
to
B
since
C
from
D
for

Question 115

+4-1
Select the most appropriate preposition to fill in the blank. \newline A baby sister is someone who look ________\_\_\_\_\_\_\_\_ other people's children.
A
after
B
for
C
on
D
over

Question 116

+4-1
Synonym for ``Nonplussed'' is
A
Flummoxed
B
Dumbfounded
C
Befuddled
D
Oriented

Question 117

+4-1
I have ________\_\_\_\_\_\_\_\_ umbrella. I bought it ________\_\_\_\_\_\_\_\_ year ago.
A
A, An
B
An, A
C
An, The
D
Then, An

Question 118

+4-1
Select the most appropriate meaning of the underlined idiom in the given sentence: \newline Off and on, I take a break from my hectic schedule to refresh myself.
A
Periodically
B
Rarely
C
Seldom
D
Immediately

Question 119

+4-1
Comprehension: \newline Science and religion - the two terms have come to signify a mutual antagonism. The two, it is commonly declared, are poles apart; their spheres of activity and their methods differ widely, so much so that they are considered to be irreconcilable. \newline On the face of it, science and religion appear to be the two opposite poles of man's consciousness. Science is basically concerned with the material world; its efforts are directed towards unraveling the ``how'' of reality while religion is concerned with the ``why'' of reality. Science deals with analyzing tangible entities into its minutest parts, and then arrives at conclusions about the way in which tangible realities are organized. While science is analytical, religion takes the ultimate reality for granted. Religion follows the metaphysical path; the concept of God is ultimately a matter of faith and it is this faith which is the basis of the religious man's attribution of a design or meaning for the reality. \newline The modes of action are different in science and religion. Science relies on experiment, whereas religion is based on experience. Any religious experience, whether it is Christ's or Ramakrishna's, is personal and subjective. Science, on the other hand, is marked by objectivity. Theory has to be corroborated by tangible proof. Science benefits mankind by providing material comforts. The frontiers of science do not end in knowledge but are extended to the formation of appliances for actual use. Science, it has been somewhat unfairly charged, cultivates the materialistic thinking. However, it has to be admitted that the mental attitude promoted by religion is entirely different, while the basis of scientific progress is unbridled curiosity and courageous endeavour, the truly religious spirit cavils at such presumption that man's mind can penetrate the mysteries of the universe. Science promotes fearless inquiry while an essential ingredient of religion is the humility born of fear of God. Science incorporates a love of experimental knowledge, while religion does not believe in the rational approach.
Question: Which of the following reasons according to the passage provide material comforts to people in case of science?
A
Trangible proofs of the theories of science
B
Materialistic thinking being cultivated by science
C
Promotion of fearless inquiry by science
D
The subjectivity of science

Question 120

+4-1
Comprehension: \newline Science and religion - the two terms have come to signify a mutual antagonism. The two, it is commonly declared, are poles apart; their spheres of activity and their methods differ widely, so much so that they are considered to be irreconcilable. \newline On the face of it, science and religion appear to be the two opposite poles of man's consciousness. Science is basically concerned with the material world; its efforts are directed towards unraveling the ``how'' of reality while religion is concerned with the ``why'' of reality. Science deals with analyzing tangible entities into its minutest parts, and then arrives at conclusions about the way in which tangible realities are organized. While science is analytical, religion takes the ultimate reality for granted. Religion follows the metaphysical path; the concept of God is ultimately a matter of faith and it is this faith which is the basis of the religious man's attribution of a design or meaning for the reality. \newline The modes of action are different in science and religion. Science relies on experiment, whereas religion is based on experience. Any religious experience, whether it is Christ's or Ramakrishna's, is personal and subjective. Science, on the other hand, is marked by objectivity. Theory has to be corroborated by tangible proof. Science benefits mankind by providing material comforts. The frontiers of science do not end in knowledge but are extended to the formation of appliances for actual use. Science, it has been somewhat unfairly charged, cultivates the materialistic thinking. However, it has to be admitted that the mental attitude promoted by religion is entirely different, while the basis of scientific progress is unbridled curiosity and courageous endeavour, the truly religious spirit cavils at such presumption that man's mind can penetrate the mysteries of the universe. Science promotes fearless inquiry while an essential ingredient of religion is the humility born of fear of God. Science incorporates a love of experimental knowledge, while religion does not believe in the rational approach.
Question: Which of the following statements according to the passage is correct:
A
The religious spirit assumes that human mind can penetrate the mysteries of the universe.
B
Science follows the metaphysical path.
C
Science believes in the humility born
D
Religion believes in ultimate reality
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