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Nimcet-2024

120 Questions • Previous Year Paper

Question 1

+12-3
If the line a2x+ay+1=0a^{2}x + ay +1=0, for some real number a, is normal to the curve xy=1 Then
A
a<\mathrm{<}0
B
0<\mathrm{<}a<\mathrm{<}1
C
a>\mathrm{>}0
D
-l<\mathrm{<}a<\mathrm{<}1

Question 2

+12-3
The value of ∑r=1n12nnPrr!\sum _{r=1}^{n}\frac{1}{2^{n} } \frac{nP_{r} }{r!} is:
A
2n2^{n}
B
1−2−n1-2^{-n}
C
2n−12^{n} -1
D
22n−12^{2n} -1

Question 3

+12-3
At how many points the following curves intersect y29−x216=1  and  x24+(y−4)216=1\dfrac{y^{2} }{9} -\dfrac{x^{2} }{16} =1{\rm \; and\; }\dfrac{x^{2} }{4} +\dfrac{(y-4)^{2} }{16} =1
A
0
B
1
C
2
D
4

Question 4

+12-3
If for non-zero x,cf(x)+df(1x)=∣log⁡∣x∣∣+3,x,cf(x)+df(\frac{1}{x} )=|\log |x||+3, where c≠d,{\rm c}\ne {\rm d,} then∫1ef(x)dx=\int _{1}^{e}f(x)dx=
A
(c−d)(2e−1)c2−d2\dfrac{(c-d)(2e-1)}{c^{2} -d^{2} }
B
(c−d)(3e−2)c2−d2\dfrac{(c-d)(3e-2)}{c^{2} -d^{2} }
C
(c−d)(3e+2)c2−d2\dfrac{(c-d)(3e+2)}{c^{2} -d^{2} }
D
(c−d)(2e+1)c2−d2\dfrac{(c-d)(2e+1)}{c^{2} -d^{2} }

Question 5

+12-3
The value of series 23!+45!+67!+....,\dfrac{2}{3!} +\dfrac{4}{5!} +\dfrac{6}{7!} +...., is
A
2e−22e^{-2}
B
e−2e^{-2}
C
e−1e^{-1}
D
2e−12 e^{-1}

Question 6

+12-3
The value of the limit lim⁡x→0(1x+2x+3x+4x4)1/x{\mathop{\lim }\limits_{x\to 0}} \left(\dfrac{1^{x} +2^{x} +3^{x} +4^{x} }{4} \right)^{1/x} is
A
1
B
3!1/3!3!^{1/3!}
C
3!1/43!^{1/4}
D
4!1/44!^{1/4}

Question 7

+12-3
Let A and B be two events defined on a sample space Ω\Omega . Suppose ACA^{C} denotes the complement of A relative to the sample space Ω\Omega . Then the probability P((A∩BC  )∪(AC∩B))P\left(\left(A\cap B^{C} {\rm \; }\right)\cup \left(A^{C} \cap B\right)\right) equals
A
P (A)+P(B)+P(A ∩\cap B)
B
P (A)+P(B)-P(A ∩\cap B)
C
P (A)+P(B)+2P(A ∩\cap B)
D
P (A)+P(B)-2P(A ∩\cap B)

Question 8

+12-3
Lines L1L^{1},L2L^{2},…{\dots},L10L^{10} are distinct among which the linesL2 L^{2},L4L^{4},L6L^{6},L8L^{8},L10L^{10} are parallel to each other and the lines L1L^{1},L3L^{3},L5L^{5},L7L^{7},L9L^{9}, pass through a given point C. The number of point of intersection of pairs of lines from the complete set L1L^{1},L2L^{2},L3L^{3},…{\dots}\),L10L^{10} is
A
24
B
25
C
26
D
27

Question 9

+12-3
Let Z be the set of all integers, and consider the sets X = {\mathrm{\{}(x, y):x2x^{2} + 2y22y^{2}=3,x,y ∈\in Z}\mathrm{\}} and Y = {\mathrm{\{}(x, y):x >\mathrm{>} y, x, y ∈\in Z}\mathrm{\}}. Then the number of elements in X∩\cap Y is:
A
2
B
1
C
3
D
4

Question 10

+12-3
If |F| = 40N (Newtons), |D| = 3m, and θ\theta = 600, then the work done by F acting from P to Q is
A
603J60\sqrt{3} J
B
120J
C
602J60\sqrt{2} J
D
60J

Question 11

+12-3
The two parabolas y2=4a(x+c)y^{2} = 4a(x + c) and y2=4bxy^{2} = 4bx, a>\mathrm{>}b>\mathrm{>}0 cannot have a common normal unless
A
C>\mathrm{>}2(a+b)
B
C>\mathrm{>}2(a-b)
C
C<\mathrm{<}2(a-b)
D
C<\mathrm{<}2a−b\dfrac{2}{a-b}

Question 12

+12-3
The value of f(1) for f(1−x1+x)=x+2f\left(\frac{1-x}{1+x} \right)=x+2 is
A
1
B
2
C
3
D
4

Question 13

+12-3
If (4, 3) and (12, 5) are the two foci of an ellipse passing through the origin, then the eccentricity of the ellipse is
A
139\dfrac{\sqrt{13} }{9}
B
1318\dfrac{\sqrt{13} }{18}
C
1718\dfrac{\sqrt{17} }{18}
D
179\dfrac{\sqrt{17} }{9}

Question 14

+12-3
The points (1,1/2) and (3,-1/2) are
A
In between the lines 2x+3y=6  and  2x+3y=−62x+3y=6{\rm \; and\; 2x+3y=-6}
B
On the opposite side of the line 2x+3y=−6{\rm 2x+3y=-6}
C
On the same side of the line 2x+3y=62x+3y=6
D
On the same side of the line 2x+3y=−6{\rm 2x+3y=-6}

Question 15

+12-3
The value of tan⁡(π4+θ)  tan(3π4+θ)\tan (\frac{\pi }{4} +\theta ){\rm \; tan(}\frac{3\pi }{4} +\theta ) is
A
-2
B
2
C
1
D
-1

Question 16

+12-3
A coin is thrown 8 number of times. What is the probability of getting a head in an odd number of throw?
A
1/4
B
1/2
C
1/8
D
3/4

Question 17

+12-3
Among the given numbers below, the smallest number which will be divided by 9, 10, 15 and 20, leaves the remainders 4, 5, 10, and 15, respectively
A
265
B
85
C
535
D
355

Question 18

+12-3
Consider the function f(x) = x2/3x^{2/3}(6−x)1/3(6-x)^{1/3}. Which of the following statement is FALSE?
A
f is increasing in the interval (0, 4)
B
f is decreasing in the interval (6, ∞\infty )
C
f has a point of inflection at x = 0
D
f has a point of inflection at x = 6

Question 19

+12-3
If sin x = sin y and cos x = cos y, then value of x - y is
A
π/4\pi /4
B
nπn\pi /2
C
nπn\pi
D
2nπ2n\pi

Question 20

+12-3
The number of solutions of 51+∣sin⁡x∣+∣sin⁡x∣2+....=255^{{1} +|\sin x|+|\sin x|^{2} +....}=25 for x∈(−π,π)x\in (-\pi ,\pi ) is
A
2
B
0
C
4
D
∞\infty

Question 21

+12-3
Which of the following is TRUE?
A
If f is continuous on [a, b], then ∫abxf(x)dx=x∫abf(x)dx\int _{a}^{b}xf(x)dx=x\int _{a}^{b}f(x)dx
B
∫03ex2dx=∫05ex2dx+∫53ex2dx\int _{0}^{3}e^{x^{2} } dx=\int _{0}^{5}e^{x^{2} } dx+\int _{5}^{3}e^{x^{2} } dx
C
If f is continuous on [a,b], then ddx(∫abf(x)dx)=f(x)\frac{d}{dx} \left(\int _{a}^{b}f(x)dx \right)=f(x)
D
Both (A) and (b)

Question 22

+12-3
A critical orthopedic surgery is performed on 3 patients. The probability of recovering a patient is 0.6. Then the probability that after surgery, exactly two of them will recover is
A
0.321
B
0.432
C
0.234
D
0.123

Question 23

+12-3
How much work does it take to slide a crate for a distance of 25 m along a loading dock by pulling on it with a 180 N force where the dock is at an angle of 45∘\mathrm{{}^\circ} from the horizontal?
A
3.18198 x 10310^{3} J
B
3.18198 x 10210^{2} J
C
3.4341x 10310^{3} J
D
3.4341x 10410^{4} J

Question 24

+12-3
The system of equations x+2y+2z=5, x+2y+3z=6, x+2y+λ\lambda z=μ\mu has infinitely many solutions if
A
λ≠2\lambda \ne 2
B
λ≠2,μ≠5\lambda \ne 2,\mu \ne 5
C
λ=2,μ=5\lambda =2,\mu=5
D
μ≠5\mu \ne 5

Question 25

+12-3
if x=1+26+46+86+166+326,  then  (1+1x)24=x=1+\sqrt[{6}]{2} +\sqrt[{6}]{4} +\sqrt[{6}]{8} +\sqrt[{6}]{16} +\sqrt[{6}]{32} ,{\rm \; then\; (1+}\frac{1}{x} )^{24} =
A
1
B
4
C
16
D
24

Question 26

+12-3
The number of one-one functions f:{1,2,3}→{a,b,c,d,e}f:\{ 1,2,3\} \to \{ a,b,c,d,e\} is
A
125
B
60
C
243
D
None of the above

Question 27

+12-3
The vector Aundefined=(2x=1)i^+(x2−6y)j^+(xy2+3z)k^\overrightarrow{A}=(2x=1)\hat{i}+(x^{2} -6y)\hat{j}+(xy^{2} +3z)\hat{k}is a
A
sink field
B
solenoidal field
C
source field
D
none of these

Question 28

+12-3
The equation 3x2+10xy+11y2+14x+12y+5=03x^{2} + 10xy + 11y^{2} + 14x + 12y + 5 = 0 represents
A
A circle
B
an ellipse
C
a hyperbola
D
a parabola

Question 29

+12-3
The value of lim⁡x→0ex−e−x−2x1−cos⁡x{\mathop{\lim }\limits_{x\to 0}} \dfrac{e^{x} -e^{-x} -2x}{1-\cos x} is equal to
A
2
B
1
C
0
D
-1

Question 30

+12-3
A man starts at the origin 0 and walks a distance of 3 units in the north-east direction and then walks a distance of 4 units in the north-west direction to reach the point P. then OP is equal to
A
12(−i^+j^)\frac{1}{\sqrt{2} } \left(-\hat{i}+\hat{j}\right)
B
12(i^+j^)\frac{1}{2} \left(\hat{i}+\hat{j}\right)
C
12(i^+7j^)\frac{1}{\sqrt{2} } \left(\hat{i}+7\hat{j}\right)
D
12(−i^+7j^)\frac{1}{\sqrt{2} } \left(-\hat{i}+7\hat{j}\right)

Question 31

+12-3
For what values of λ\lambda . does the equation 6x26x^{2}-xy+λ\lambda y2y^{2}=0 represents two perpendicular lines and two lines inclined at an angle of π\pi /4.
A
-6and -2
B
6and1
C
-6 and -35
D
-6and 1

Question 32

+12-3
There are 9 bottle labelled 1, 2, 3,..., 9 and 9 boxes labelled 1, 2, 3,...,9. The number of ways one can put these bottles in the boxes so that each box gets one bottle and exactly 5 bottles go in their corresponding numbered boxes is
A
9 X 9C5^{9}C_{5}
B
5 X 9C5^{9}C_{5}
C
25 X 9C5^{9}C_{5}
D
4 X9C5^ {9}C_{5}

Question 33

+12-3
Let C denote the set of all tuples (x,y) which satisfy x2=2yx^{2} =2^{y} where x and y are natural numbers. What is the cardinality of C?
A
0
B
1
C
2
D
3

Question 34

+12-3
Let  f  :  R→R  be  a  function  such  that  f(0)  =  1π  and  Let{\rm \; f\; :\; }{\rm R}\to {\rm R}{\rm \; be\; a\; function\; such\; that\; f(0)\; =\; }\dfrac{1}{\pi } {\rm \; and\; }f(x)  =  xeπx−1  for  x≠0{\rm f(x)\; =\; }\dfrac{x}{e^{\pi x} -1} {\rm \; for\; x}\ne {\rm 0} Then
A
f(x) is not continuous at x = 0
B
f(x) is continuous but not differentiable at x = 0
C
f(x) is differentiable at x = O and f'(0) = −π2-\frac{\pi }{2}
D
None of the above

Question 35

+12-3
Consider the function f(x)={−x3+3x2+1,        if  x≤2cos⁡(x),                            if  2<x≤4          e−x,                            if  x>4f(x)=\left\{\begin{array}{l} {-x^{3} +3x^{2} +1,{\rm \; \; \; \; }if{\rm \; }x\le 2} \\ {\cos (x),{\rm \; \; \; \; \; \; \; \; \; \; \; \; \; \; if\; 2<x}\le {\rm 4}} \\ {{\rm \; \; \; \; \; e}^{-x} ,{\rm \; \; \; \; \; \; \; \; \; \; \; \; \; \; if\; x>4}} \end{array}\right. \newline Which of the following statements about f(x) is true:
A
f(x) has a local maximum at x =1, which is also the global maximum.
B
f(x) has a local maximum at x=2, which is not the global maximum.
C
f(x) has a local maximum at x = π\pi , but it is not the global maximum.
D
f(x) has a global maximum at x=0.

Question 36

+12-3
Out of a group of 50 students taking examinations in Mathematics, Physics, and Chemistry, 37 students passed Mathematics, 24 passed Physics, and 43 passed Chemistry. Additionally, no more than 19 students passed both Mathematics and Physics, no more than 29 passed both Mathematics and Chemistry, and no more than 20 passed both Physics and Chemistry. What is the maximum number of students who could have passed all three examinations?
A
9
B
10
C
12
D
14

Question 37

+12-3
A committee of 5 is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is
A
1/2
B
5/9
C
2/3
D
4/9

Question 38

+12-3
Find the cardinality of the set C which is defined as C= {\mathrm{\{}x : sin 4x = 12\dfrac{1}{2} for x∈\in (-9π\pi .3π\pi )}\mathrm{\}}.
A
24
B
48
C
36
D
12

Question 39

+12-3
For an invertible matrix A, which of the following is not always true:
A
|adj (A)| ≠\ne 0
B
|A|≠\ne 0
C
∣AA−1∣|AA^{-1}|=1
D
|A (adj (A))| ≠\ne 1

Question 40

+12-3
The value of m for which volume of the parallelepiped is 4 cubic units whose three edges are represented by a = mi + j + k, b = i - j + k, c = i + 2j -k is
A
-2
B
1
C
-1
D
0

Question 41

+12-3
If three distinct numbers are chosen randomly from the first 100 natural numbers, then the probability that all three of them are divisible by both 2 and 3 is
A
4/25
B
4/35
C
4/33
D
4/1155

Question 42

+12-3
If the perpendicular bisector of the line segment joining p(1,4) and q(k,3) has y-intercept -4, then the possible values of k are
A
-4 &\& 4
B
-1 &\& 1
C
-2 &\& 2
D
-3 &\& 3

Question 43

+12-3
If one AM (Arithmetic mean) `a' and two GM's (Geometric means) p and q be inserted between any two positive numbers, the value of p∧\mathrm{\wedge}3+q∧\mathrm{\wedge}3 is
A
2 a p q
B
pq/a
C
2pq/a
D
p+q+a

Question 44

+12-3
Region R is defined as region in first quadrant satisfying the condition X2X^{2} + y2y^{2} <\mathrm{<}4. Given that a point P=(r,s) lies in R, what is the probability that r>\mathrm{>}s?
A
1
B
0
C
1/2
D
1/3

Question 45

+12-3
Given a set A with median m1m_{1} = 2 and set B with median m2m_{2} = 4 What can we say about the median of the combined set?
A
at most 1
B
at most 2
C
at least 1
D
at least 2

Question 46

+12-3
Let f(x)={x2sin⁡1x,x≠00,x=0f(x)=\left\{\begin{array}{l} {x^{2} \sin \frac{1}{x} ,x\ne 0} \\ {0,x=0} \end{array}\right. Then which of following is true
A
f(x) is not continuous at x =0
B
f(x) is not differentiable at x=0
C
f'(x) is not continuous at x =0
D
f'(x) is continuous at x =0

Question 47

+12-3
A speaks truth in 40% and B in 50% of the cases. The probability that they contradict each other while narrating some incident is:
A
1/2
B
1/3
C
2/3
D
1/4

Question 48

+12-3
If f(x)=cos⁡[π∧2]x+cos⁡[−π∧2]x,f(x)=\cos [\pi \wedge 2]x+\cos [-\pi \wedge 2]x,where [.] stands for the greatest integer function, then f(π\pi /2)=
A
-1
B
0
C
1
D
2

Question 49

+12-3
It is given that the mean, median and mode of a data set is 1, 3x3 ^{x} and 9x9 ^{x} respectively. The possible values of the mode is
A
1,4
B
1,9
C
3,9
D
9,8

Question 50

+12-3
The number of distinct real values of A for which vectors λ2i^+j^+kundefined,i^+λ2j^+kundefined\lambda ^{2} \hat{i}+\hat{j}+\widehat{k},\hat{i}+\lambda ^{2} \hat{j}+\widehat{k}i^+j^+λ2kundefined\hat{i}+\hat{j}+\lambda ^{2} \widehat{k} are coplanar is
A
1
B
2
C
3
D
6

Question 51

+6-1.5
The sum of the integers is:
A
None of these
B
-8
C
-6
D
-10

Question 52

+6-1.5
\newline Comprehension: \newline Direction: A, B, C, D and E are five different integer. When written in the ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E.
Question:The greatest number has the value:
A
17
B
15
C
12
D
14

Question 53

+6-1.5
Direction: A, B, C, D and E are five different integer. When written in the ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E.
Question:The sum of A and B is:
A
None of these
B
-15
C
-20
D
-30

Question 54

+6-1.5
\newline Comprehension: \newlineDirection: A, B, C, D and E are five different integer. When written in the ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E.
Question:The value of A is:
A
-17
B
None of these
C
-15
D
-18

Question 55

+6-1.5
\newline Comprehension: \newline Direction: A, B, C, D and E are five different integer. When written in the ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E
Question:Which of the following represents the three teachers?
A
GEA
B
GEF
C
Data inadequate
D
GBF

Question 56

+6-1.5
\newline Comprehension: \newline Directions: A, B, C, D, E, F, and G are travelling in three different vehicles. There are at least two passengers in each vehicle—Swift, Creta, Nexon, and only one of them is a male. There are two engineers, two doctors and three teachers among them. \newline i. C is a lady doctor and she does not travel with the pair of sisters A and F. \newline ii. B, a male engineer, travels with only G, a teacher in a Swift. \newline iii. D is a male doctor. \newline iv. Two persons belonging to the same profession do not travel in the same vehicle. \newline v. Ais not an engineer and travels in a Creta. \newline vi. The pair of sisters A and F travel in the same vehicle.
Question:In which vehicle does C travel?
A
Swift
B
Data inadequate
C
Creta
D
Nexon

Question 57

+6-1.5
\newlineComprehension: \newline Directions: A, B, C, D, E, F, and G are travelling in three different vehicles. There are at least two passengers in each vehicle—Swift, Creta, Nexon, and only one of them is a male. There are two engineers, two doctors and three teachers among them. \newline i. C is a lady doctor and she does not travel with the pair of sisters A and F. \newline ii. B, a male engineer, travels with only G, a teacher in a Swift. \newline iii. D is a male doctor. \newline iv. Two persons belonging to the same profession do not travel in the same vehicle. \newline v. Ais not an engineer and travels in a Creta. \newline vi. The pair of sisters A and F travel in the same vehicle.
Question:What is F’s profession?
A
Teacher
B
Data inadequate
C
Engineer
D
Doctor

Question 58

+6-1.5
\newline Comprehension: \newline Directions: A, B, C, D, E, F, and G are travelling in three different vehicles. There are at least two passengers in each vehicle—Swift, Creta, Nexon, and only one of them is a male. There are two engineers, two doctors and three teachers among them. \newline i. C is a lady doctor and she does not travel with the pair of sisters A and F. \newline ii. B, a male engineer, travels with only G, a teacher in a Swift. \newline iii. D is a male doctor. \newline iv. Two persons belonging to the same profession do not travel in the same vehicle. \newline v. Ais not an engineer and travels in a Creta. \newline vi. The pair of sisters A and F travel in the same vehicle.
Question:A cat climbs a 21-meter pole. In the first minute it climbs 3 meter and in the second minute it descends one meter. In how minutes the cat would reach the top of the pole?
A
19 minutes
B
21 minutes
C
20 minutes
D
18 minutes

Question 59

+6-1.5
Which out of the following words will appear last in the dictionary
A
Complete
B
Complete
C
Compline
D
Complicit

Question 60

+6-1.5
At what time between 2 pm and 3 pm, will the hour and minute hands of a clock point in opposite directions: (diametrically opposite)?
A
2:45pm
B
2:44pm
C
2:43911pm2:43\frac{9}{11} pm
D
2:43711pm2:43\frac{7}{11} pm

Question 61

+6-1.5
In certain languages, HEART is written as 2018010508, and LUNGS is written as 1907142112. If BRAIN is written in that language, what will be the last number?
A
2
B
5
C
9
D
4

Question 62

+6-1.5
Study the following diagram and answer the following question. By which letter, the married teachers who do not live in joint family are represented?
Question 62 Image
A
S
B
R
C
P
D
Q

Question 63

+6-1.5
Odometer is to mileage as Compass is to
A
Needle
B
Direction
C
Speed
D
Hiking

Question 64

+6-1.5
Study the following information carefully and answer the given question: Eight friends A, B, C, D, E, F, G, and H are sitting on a round table facing the centre. A sits second to the left of D, who sits third to the left of E. C sits third to the right of G, who is not an immediate neighbour of E. H sits opposite to the E. B is between A and C. Who sits opposite to A?
A
E
B
G
C
D
D
F

Question 65

+6-1.5
The mean of consecutive positive integers from 2 to n is
A
n+22\frac{n+2}{2}
B
n(n+1)2\frac{n(n+1)}{2}
C
n+12\frac{n+1}{2}
D
n−12\frac{n-1}{2}

Question 66

+6-1.5
Four friends, Aditi, Bharat, Chandan, and Deepika, went to a restaurant for dinner. Each of them ordered a different dish from the menu: pizza, pasta, burger, and salad. Additionally, each friend ordered a different drink cola, lemonade, orange juice, and water. Based on the following clues, determine the combination of friend, dish, and drink: \newline o Aditi didn't order pizza or cola, \newlineo Bharat ordered salad but not lemonade. \newlineo Chandan ordered pasta \newlineo Deepika didn't order burger or orange juice. \newlineo Aditi ordered orange juice \newlineWho ordered the burger, and what drink did they order?
A
Bharat, water
B
Aditi, orange juice
C
Chandan, lemonade
D
Deepika, cola

Question 67

+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= 10.5+ 2X, where X is the marks provided by the first judge. If the variance of the marks provided by the second judge is 100, then the variance of the marks provided by the first judge is:
A
49.5
B
25
C
50
D
99

Question 68

+6-1.5
Rajesh will not go to the concert if Rakesh goes. Rakesh will go to the concert if his dog barks three times. Based only on the information above, which of the following must be true?
A
Rakesh will not go to the concert unless Rajesh goes.
B
If Rakesh’s dog does not bark three times, then Rakesh will not go to the concert.
C
If Rakesh’s dog barks three times, then Rajesh will not go to the concert.
D
If Rajesh doesn’t go to the concert, then Rakesh will go.

Question 69

+6-1.5
If by rearranging the letters of the word NABMODINT, a name of a game is formed. What would be the first and last letter of the mirror image of the name of the game?
A
N,B
B
B,T
C
B,N
D
T,B

Question 70

+6-1.5
In a recent survey of 500 employees in a company, it was found that 60% of the employees prefer coffee over tea, 25% prefer tea over coffee, and the remaining 15% have no preference. If 20% of the employees who prefer coffee are also tea drinkers, how many employees prefer only tea?
A
55
B
50
C
65
D
75

Question 71

+6-1.5
In the half yearly exam only 60% of the students were passed. 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
74%
C
65%
D
72%

Question 72

+6-1.5
Select the pair of words, which are related in the same way as the capitalized words are related to each other.DATA : GRAPH
A
Mother : Father
B
Plant : Leaf
C
Milk : Butter
D
Water : Glass

Question 73

+6-1.5
In which year was Arjun born? Arjun at present is 25 years younger to his mother. Arjun's brother, who was born in 1964, is 35 years younger to his mother.
A
1974
B
1944
C
1954
D
1964

Question 74

+6-1.5
In the following question, three statements and three conclusions are given. \newline Statements: \newline 1. All students are intelligent. \newline 2. No intelligent person is lazy. \newline 3. Some lazy people are poor \newlineConclusions: \newline1. No student is lazy. \newline2. Some poor people are not intelligent. \newline3. All poor people are lazy. \newline Find out the most appropriate conclusion(s) from the following options.
A
Only conclusions 2 and 3 follow
B
Only conclusion 1 follows
C
Only conclusion 2 follows
D
Only conclusions 1 and 2 follow

Question 75

+6-1.5
From the given options, find the pair which is like the given pair 8:4
A
45:5
B
216:32
C
72:24
D
27:9

Question 76

+6-1.5
In a tournament, many teams participated. All teams in the tournament have 5 to 15 players. If a team has more than 10 players, then they have reversible t-shirts. Based only on the information above, which of the following must be true?
A
Teams with 8 players do not have reversible t-shirts.
B
Teams that have 13 players have reversible t-shirts.
C
Teams that have 12players don't have reversible t-shirts
D
Only people on teams can have reversible t-shirts.

Question 77

+6-1.5
What is the value of x2 + y2=? \newline Statement I: xy =5 \newline Statement Il: x + y =10 \newlineA. Choose this option if the question can be answered by using one of the statements alone, but cannot be answered using the other statement \newlineB. Choose this option if the question can be answered by using both the statements together, but cannot be answered using either statement alone. \newlineC. Choose this option if the question can be answered by using either statement alone \newline D. Choose this option if the question cannot be answered even by using both the statements together
A
B
B
D
C
C
D
A

Question 78

+6-1.5
Arrange the words given below in a meaningful sequence. \newline (1)Software (2) Code (3) Data (4)Analysis (5) Report
A
3, 1, 2, 5, 4
B
2, 1, 5, 3, 4
C
3, 1, 2, 4, 5
D
5, 4, 3, 1, 2

Question 79

+6-1.5
Which one of the following is the odd one from the given alternative?
A
Age
B
Salary
C
Years of experience
D
Highest education

Question 80

+6-1.5
Aryan bought 100 shares of a company at ?50 per share. He paid a brokerage fee of 2% on the purchase. Later, he sold all the shares at ?55 per share and paid a brokerage fee of 2% on the sale. What is Aryan's net profit percentage on his investment?
A
5.5%
B
6.1%
C
6%
D
5.69%

Question 81

+6-1.5
This question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are most logically related \newline A. All falcons fly high. \newline B. All falcons are blind \newline C. All falcons are birds \newline D. All birds are yellow \newline E. All birds are thirsty \newline F. All falcons are yellow
A
BCA
B
CDF
C
DEF
D
ABC

Question 82

+6-1.5
This question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are most logically related \newline A. Some buildings are not skyscrapers \newline B. Some skyscrapers are not buildings \newline C. No structure is a skyscraper \newline D. All skyscrapers are structures \newline E. Some skyscrapers are buildings \newline F. Some structures are not buildings
A
ACE
B
BDF
C
ACF
D
FDA

Question 83

+6-1.5
Ramu visits Delhi on every 15 days and Samu goes to Delhi every 20 days. They met at Delhi 5 days back. After how many days, from today, they will meet at Delhi next time?
A
60
B
35
C
35
D
55

Question 84

+6-1.5
Two cars, Car A and Car B, are traveling on a highway. Car A starts from point X and travels at a constant speed of 60 km/h, while Car B starts from the same point X but travels at a constant speed of 80 km/h. If both cars travel for 1.5 hours, what is the difference in distance covered by Car B compared to Car A?
A
30KM
B
35KM
C
25KM
D
20KM

Question 85

+6-1.5
If 30th September, 1991 was a Wednesday, then what was the day on 14th March 1992?
A
Monday
B
Saturday
C
Sunday
D
Wednesday

Question 86

+6-1.5
After allowing 20% cash discount, a trader still earns a profit of 11.11%. How much above the cost price, the trader marks his goods?
A
28%
B
38.88%
C
30.33%
D
40%

Question 87

+6-1.5
Looking at the portrait of a man, Lucky (male) said, ``This person is the only child of my paternal grandmother's daughter.'' Whose portrait was Lucky looking at?
A
His cousin
B
His uncle
C
Himself
D
His brother

Question 88

+6-1.5
Which pairs of bits can be joined together to form two words that have opposite meanings?
Question 88 Image
A
(9,2),(5,7)
B
(1,3),(8,10)
C
(1,5),(10,8)
D
(4,2),(7,8)

Question 89

+6-1.5
Select the one which is different from the other three.
A
HEM
B
JGP
C
OLT
D
NKS

Question 90

+6-1.5
You are on an island with two tribes. One tribe always tells the truth, and the other tribe always lies. You meet three individuals from the island: A, B, and C. Each individual belongs to one of the tribes. You ask each of them the same question: "Is B a truth-teller?'' Here are their responses: \newline A says, "Yes, Bis a truth-teller" \newline B says, "No, am not a truth-teller.'' \newline C says, "Bis a liar.'' \newline Given that each individual is either a truth-teller or a liar, who is telling the truth?
A
A Only
B
C Only
C
B Only
D
Both B & C

Question 91

+6-1.5
Which of the following do not affects CPU performance?
A
Amount of RAM
B
Clock speed
C
Cache size
D
Number of cores

Question 92

+6-1.5
Given that numbers A and B are two 8 bit 2’s Complement numbers with A=11111111; B=11111111. Then sum A+B is ______
A
11111100
B
11111110
C
00000010
D
00000000

Question 93

+6-1.5
Consider the following 4-bit binary numbers represented in the 2’s complement form: 1101 and 0100. What would be the result when we add them?
A
1001 and an overflow
B
0001 and no overflow
C
0001 and an overflow
D
1001 and no overflow

Question 94

+6-1.5
Let the given numbers 11001, 1001 and 111001 be correspond to the 2’s complement representation. Then with which one of the following decimal numbers, the given numbers match?
A
-25, -9 and -57, respectively
B
-6, -6, and -6, respectively
C
-7, -7, and -7, respectively
D
25, 9 and 57, respectively

Question 95

+6-1.5
In the figure, the circle stands for employed, the square stands for a social worker, the triangle stands for illiterate, and the rectangle stands for truthful. Study the figure with its regions and find the number of neither truthful nor illiterate people among the employed only.
Question 95 Image
A
4
B
8
C
1
D
11

Question 96

+6-1.5
Which of the following is the smallest unit of data in a computer?
A
KB
B
Bit
C
Byte
D
Nibble

Question 97

+6-1.5
Consider an arbitrary number system with independent digits as 0, 1 and A. If we generate first few numbers in sequence as 00, 01, 0A, 10, 11, 1A and if this process is continued to generate the numbers, then (the position of 10A is ____
A
15
B
12
C
9
D
10

Question 98

+6-1.5
Any given truth table can be represented by
A
a Karnaugh map
B
a product of sum Boolean expression
C
a sum of product Boolean expression
D
All of the options

Question 99

+6-1.5
Consider the program below which uses six temporary variables a, b, c, d, e, and f . \newlinea = 10 \newlineb = 20 \newlinec = 30 \newlined=a+c \newlinee=b+d \newlinef=c+e \newlineb=c+e \newlinee=b+f \newlined=5+e \newlinereturn d+f \newlineAssuming that all the above operations take their operands from registers, the minimum number of registers needed to execute this program without spilling is
A
5
B
4
C
3
D
6

Question 100

+6-1.5
The quotient, if the binary number 11010111 is divided by 101, is _____
A
111001
B
101101
C
101011
D
101010

Question 101

+6-1.5
Which of the following interfaces perform the transfer of data between the memory and the I/O peripheral without involving the CPU?
A
DDA
B
Branch Interface
C
Serial Interface
D
DMA

Question 102

+6-1.5
The expression P+QR is the reduced form of ______________
A
(P+Q)(P+R)
B
PQ + QR
C
(P+R)Q
D
(P+Q)R

Question 103

+6-1.5
The Boolean expression for the following truth table is
Question 103 Image
A
F=x’yz’+xy’z+x’y’z’
B
F=x’y’z’+xy’z+xyz’
C
F=x’yz’+xy’z+xyz
D
None of these

Question 104

+6-1.5
Which of the following components is used to establish a communication link between a CPU and the peripheral devices to transfer data?
A
Memory address register
B
Instruction register
C
Memory data register
D
Index register

Question 105

+6-1.5
Cache memory functions as an intermediary between
A
RAM and ROM
B
CPU and RAM
C
CPU and Hard Disk
D
None of these

Question 106

+6-1.5
A CPU generates 32 bits 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 associate. The minimum size of the TLB tag is
A
20 bits
B
15 bits
C
11 bits
D
13 bits

Question 107

+6-1.5
A computer system has 16-bit wide address/data bus that uses RAM chips of 4K x 8-bit capacity. The number of RAM chips are needed to provide a memory capacity of 64 Kbytes memory is ___
A
32
B
16
C
8
D
64

Question 108

+6-1.5
The primary purpose of cache memory in a computer system is
A
to temporarily store frequently accessed data and instructions for faster access by the CPU
B
to manage input and output operations between the CPU and peripherals
C
to provide additional storage space when the main memory is full
D
to permanently store data and programs

Question 109

+6-1.5
The range of the exponent E in the IEEE754 double precision (Binary64) format is ______
A
-1022 ≤ E ≤ 1023
B
-1022 ≤ E ≤ 1022
C
-1023 ≤ E ≤ 1022
D
-1023 ≤ E ≤ 1023

Question 110

+6-1.5
Which of the following components is not a part of an instruction format in CPU processing?
A
Destination operand
B
Opcode
C
Source operand
D
Register file

Question 111

+4-1
Select the appropriate synonym for ‘coercive’:
A
Forceful
B
Merciful
C
Corrective
D
Gentle

Question 112

+4-1
Which sentence demonstrates correct preposition usage?
A
He is interested on learning new languages.
B
She arrived to the party at 8 PM.
C
I prefer coffee over tea.
D
They were surprised of the sudden announcement.

Question 113

+4-1
Choose the best option that indicates the change of voice for the sentence given below: Did Alice invite you?
A
Was Alice invited you?
B
Were you invited by Alice?
C
Did you invited by Alice?
D
Had you invited Alice?

Question 114

+4-1
Identify the word that means the same as "ostentatious":
A
Simple
B
Lavish
C
Unassuming
D
Modest

Question 115

+4-1
Which of the following is an essential element of a technical report?
A
Statistical data and analysis
B
Anecdotes and personal opinions
C
Emotional appeals
D
Creative storytelling

Question 116

+4-1
Write the antonym for ‘Inscrutable’:
A
Comprehensible
B
Opaque
C
Mysterious
D
Obscure

Question 117

+4-1
Select the correct meaning of ‘Peruse’:
A
Continue
B
Pursue
C
Rescue
D
Examine

Question 118

+4-1
Choose the correct combination of prepositions to complete the sentence: "The cat jumped ___ the table ___ the chair."
A
on, from
B
into, beside
C
off, in
D
onto, towards

Question 119

+4-1
The company's __________ growth in revenue surprised analysts.
A
stagnant
B
erratic
C
exponential
D
gradual

Question 120

+4-1
What does the idiom “jump on the bandwagon” mean?
A
To join a popular trend or activity
B
To start a business
C
To criticize something unfairly
D
To repair a vehicle
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