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Nimcet-2018

120 Questions • Previous Year Paper

Question 1

+12-3
A line through (4,2) meets the coordinate axes at P and Q. then the locus of the circumcentre of △OPQ\triangle OPQis
A
1x+1y=2\frac{1}{x} +\frac{1}{y} =2
B
2x+1y=1\frac{2}{x} +\frac{1}{y} =1
C
1x+2y=1\frac{1}{x} +\frac{2}{y} =1
D
1x+1y=12\frac{1}{x} +\frac{1}{y} =\frac{1}{2}

Question 2

+12-3
Through any point (x,y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. The curve given that divides the rectangle formed by the two lines and axes into two areas, one of which is twice the other, represents a family of
A
Circle
B
parabolas
C
hyperbolas
D
straight lines

Question 3

+12-3
In a triangle ABC, ∠A\angle A=900{}^{0} and D is mid-point of AC. The values of BC2{}^{2}-BD2{}^{2} equal to
A
AD2{}^{2}
B
2AD2{}^{2}
C
3AD2{}^{2}
D
4 AD2{}^{2}

Question 4

+12-3
If sinθ\theta=3sin(θ\theta+2α\alpha), then the value of tan(θ\theta+α\alpha)+ 2tan α\alpha is
A
3
B
2
C
-1
D
0

Question 5

+12-3
The value of cot(cos⁡ec−153+tan⁡−123)\left(\cos ec^{-1} \frac{5}{3} +\tan ^{-1} \frac{2}{3} \right)is
A
6/17
B
3/17
C
4/17
D
5/17

Question 6

+12-3
A bird is flying in a straight line with velocity vector 10i∧+6j∧+k∧10{\mathop{i}\limits^{\wedge }} +6{\mathop{j}\limits^{\wedge }} +{\mathop{k}\limits^{\wedge }} , measured in km/hr. if starting point is (1, 2, 3), how much time does it take to reach a point in space that is 13 meter high from ground?
A
600 seconds
B
360 seconds
C
36 seconds
D
60 seconds

Question 7

+12-3
forces 4i-3j+7k and -2i+2j-8k are acting on a particle and displace it from the point (5,7,1) to (2,5,-6), then the work done by the force is
A
25
B
9
C
15
D
7

Question 8

+12-3
The vector aundefined=αi∧+2j∧+βk∧\overrightarrow{a}=\alpha {\mathop{i}\limits^{\wedge }} +2{\mathop{j}\limits^{\wedge }} +\beta {\mathop{k}\limits^{\wedge }} lies in the plane of the vectors bundefined=i∧+j∧\overrightarrow{b}={\mathop{i}\limits^{\wedge }} +{\mathop{j}\limits^{\wedge }} and cundefined=j∧+k∧\overrightarrow{c}={\mathop{j}\limits^{\wedge }} +{\mathop{k}\limits^{\wedge }} and bisects the angle between bundefined\overrightarrow{b}and cundefined\overrightarrow{c}. Then, which one of the following gives possible values of α\alpha and β\beta?
A
α\alpha=2, β\beta=2
B
α\alpha=1, β\beta=2
C
α\alpha=2, β\beta=1
D
α\alpha=1, β\beta=1

Question 9

+12-3
If a, b and c are unit vectors, then ∣a−b∣2+∣b−c∣2+∣c−a∣2\left|a-b\right|^{2} +\left|b-c\right|^{2} +\left|c-a\right|^{2} does not exceed
A
4
B
9
C
8
D
6

Question 10

+12-3
F(x) =x+∣x∣\left|x\right|is continuous for
A
x∈(−∞,∞)x\in (-\infty ,\infty )
B
x∈(−∞,∞)−{0}x\in (-\infty ,\infty )-\{ 0\}
C
Only x>\mathrm{>}0
D
no value of x

Question 11

+12-3
Differential co-efficient of log10{}_{10}x w.r.t. logx{}_{x}10 is
A
−(log⁡x)2(log⁡10)2-\frac{(\log x)^{2} }{(\log 10)^{2} }
B
(log⁡10x)2(log⁡10)2\frac{(\log _{10} x)^{2} }{(\log 10)^{2} }
C
(log⁡x10)2(log⁡10)2\frac{(\log _{x} 10)^{2} }{(\log 10)^{2} }
D
−(log⁡10)2(log⁡x)2-\frac{(\log 10)^{2} }{(\log x)^{2} }

Question 12

+12-3
d2xdy2equals\frac{d^{2} x}{dy^{2} } ^{} equals
A
(d2ydx2)−1\left(\frac{d^{2} y}{dx^{2} } \right)^{-1}
B
−(d2ydx2)−1(dydx)−3-\left(\frac{d^{2} y}{dx^{2} } \right)^{-1} \left(\frac{dy}{dx} \right)^{-3}
C
(d2ydx2)(dydx)−2\left(\frac{d^{2} y}{dx^{2} } \right)\left(\frac{dy}{dx} \right)^{-2}
D
−(d2ydx2)(dydx)−3-\left(\frac{d^{2} y}{dx^{2} } \right)\left(\frac{dy}{dx} \right)^{-3}

Question 13

+12-3
if f(x)=sin5{}^{5}x+sin3{}^{3}x and g(x)=cos6{}^{6}x+sin3{}^{3}x, then the value of ∫0π2[f(x)+f(−x)][g(x)+g(−x)]dx\int _{0}^{\frac{\pi }{2} }[f(x)+f(-x)][g(x)+g(-x)]dx is
A
0
B
>\mathrm{>}1
C
0 and 1
D
less than 0

Question 14

+12-3
If lim⁡x→∞(1+ax+bx2)2x=e2{\mathop{\lim }\limits_{x\to \infty }} \left(1+\frac{a}{x} +\frac{b}{x^{2} } \right)^{2x} =e^{2} , then the values of a and b are
A
a∈\in R, b=2
B
a=1, b∈\in R
C
a∈\in R, b∈\in R
D
a=1,b=2

Question 15

+12-3
The number of natural number which are smaller than 2*108{}^{8} and which contain only the digits 1 and 2 is
A
786
B
666
C
766
D
1066

Question 16

+12-3
Let α, β be the roots of the equation x2{}^{2}-px+r=0 and   α2\frac{\; \alpha }{2} ,2β be the roots of the equation x2{}^{2}-qx+r=0. Then the value of r is
A
29\frac{2}{9} (p-q)(2q-p)
B
29\frac{2}{9} (q-p)(2q-p)
C
29\frac{2}{9} (q-2p)(2q-p)
D
29\frac{2}{9} (2p-q)(2q-p)

Question 17

+12-3
The coefficient of xn{}^{n} In the expansion of (1-2x+3x2{}^{2}-4x3{}^{3}+…{\dots}to ∞\mathrm{\infty})−n{}^{-n} is
A
(2n)!n!(n−1)!\frac{(2n)!}{n!(n-1)!}
B
(2n)![(n−1)!]2\frac{(2n)!}{[(n-1)!]^{2} }
C
(2n)!(n!)2\frac{(2n)!}{(n!)^{2} }
D
none of these

Question 18

+12-3
If a, b, c are the roots of the equation x3{}^{3}-3x2{}^{2}+3x+7=0, then the value of ∣2bc−a2          c2                      b2c2                        2ac−b2          a2b2                          a2                  2ab−c2∣\left|\begin{array}{l} {{\rm 2bc-a}^{{\rm 2}} {\rm \; \; \; \; \; c}^{{\rm 2}} {\rm \; \; \; \; \; \; \; \; \; \; \; b}^{{\rm 2}} } \\ {{\rm c}^{{\rm 2}} {\rm \; \; \; \; \; \; \; \; \; \; \; \; 2ac-b}^{{\rm 2}} {\rm \; \; \; \; \; a}^{{\rm 2}} } \\ {{\rm b}^{{\rm 2}} {\rm \; \; \; \; \; \; \; \; \; \; \; \; \; a}^{{\rm 2}} {\rm \; \; \; \; \; \; \; \; \; 2ab-c}^{{\rm 2}} } \end{array}\right|is
A
9
B
27
C
81
D
0

Question 19

+12-3
If a1{}_{1},a2{}_{2},a3{}_{3},…{\dots}.an{}_{n} are positive real numbers whose product is a fixed number C, then the minimum values of a1{}_{1}+a2{}_{2}+…{\dots}.+2an{}_{n} is
A
n(2C)1/n{}^{1/n}
B
(n+1)C1/n{}^{1/n}
C
2nC1/n  {}^{1/n\ \ }
D
(n+1)(2C)1/n{}^{1/n}

Question 20

+12-3
If A sand B are two events and P(A∪\cup B)=5/6, P(A∩\cap B)=1/3, P(B)=1/2, then A and B are two events which are
A
Dependent
B
independent
C
Mutually exclusive
D
equally likely

Question 21

+12-3
In a survey where 100 students reported which subjects they like, 32 students in total liked mathematics, 38 students liked business and 30 students liked literature. Moreover 7 students liked both mathematics and literature, 10 students liked both mathematics and business, 8 students liked both business and literature, 5 students liked all three subjects. \newline Then the number of people who liked exactly one subject is
A
60
B
65
C
70
D
78

Question 22

+12-3
A student council has 10 members. From this one president, one vice-president, on secretary, on joint-secretary and two executive committee members have to be elected. In how many ways this can be done?
A
151200
B
75600
C
37800
D
18900

Question 23

+12-3
Which of the following function is inverse of itself?
A
F(x)=1−x1+x\frac{1-x}{1+x}
B
f(x)=3logx{}^{logx}
C
F(x)=3x(x+1) {}^{x(x+1)\ }
D
none of these

Question 24

+12-3
Equation of the line perpendicular to x-2y =1 and passing through (1,1) is
A
x+2y=3
B
x+y=2
C
y=2x+3
D
y=-2x+3

Question 25

+12-3
9 balls are to be placed in 9 boxes and 5 of the balls cannot fit in to 3 small boxes. The number of ways of arranging one ball in each of the boxes is
A
18720
B
18270
C
17280
D
12780

Question 26

+12-3
If [0      50        0]\left[\begin{array}{l} {{\rm 0\; \; \; 5}} \\ {{\rm 0\; \; \; \; 0}} \end{array}\right]and f(x)=1+x+x2{}^{2}…{\dots}.+x1{}^{1}6{}^{6}, then f(A)=
A
0
B
[1      50        1]\left[\begin{array}{l} {{\rm 1\; \; \; 5}} \\ {{\rm 0\; \; \; \; 1}} \end{array}\right]
C
[1      50        0]\left[\begin{array}{l} {{\rm 1\; \; \; 5}} \\ {{\rm 0\; \; \; \; 0}} \end{array}\right]
D
[0      51        1]\left[\begin{array}{l} {{\rm 0\; \; \; 5}} \\ {{\rm 1\; \; \; \; 1}} \end{array}\right]

Question 27

+12-3
The area enclosed between the curves y2{}^{2}=x and y=∣x∣\left|x\right|is
A
2/3 sq. unit
B
1 sq. unit
C
1/6 sq. unit
D
1/3 sq. unit

Question 28

+12-3
Equation of a common tangent with positive slope to the circle x2{}^{2}+y2{}^{2}-8x=0 as well as to the hyperbola x29−y24=1\frac{x^{2} }{9} -\frac{y^{2} }{4} =1is
A
2x-5\sqrt{5} y-20=0
B
2x-5\sqrt{5} y+4=0
C
3x-4y+8=0
D
4x-3y+4=0

Question 29

+12-3
The locus of the orthocenter of the triangle formed by the lines (1+p)x-py+p(1+p)=0, (1+q)x-qy+q(1+q)=0 and y=0 where p≠\mathrm{\neq}q, is
A
A hyperbola
B
A parabola
C
An ellipse
D
A straight line

Question 30

+12-3
The circles whose equations are x2{}^{2}+y2{}^{2}+c2{}^{2}=2ax and x2{}^{2}+y2{}^{2}+c2{}^{2}-2by=0 will touch one another externally if
A
1b2+1c2=1a2\frac{1}{b^{2} } +\frac{1}{c^{2} } =\frac{1}{a^{2} }
B
1c2+1a2=1b2\frac{1}{c^{2} } +\frac{1}{a^{2} } =\frac{1}{b^{2} }
C
1a2+1b2=1c2\frac{1}{a^{2} } +\frac{1}{b^{2} } =\frac{1}{c^{2} }
D
None of these

Question 31

+12-3
If tan⁡x2=tan⁡y3=tan⁡z5\frac{\tan x}{2} =\frac{\tan y}{3} =\frac{\tan z}{5} and x+y+z=π,x+y+z=\pi ,then the value of tan2{}^{2} x+tan2{}^{2} y+tan2{}^{2} z is
A
38/3
B
114
C
38
D
none of these

Question 32

+12-3
Let P={\mathrm{\{} θ\theta: sin θ\theta-cos θ\theta=2\sqrt{2} cos θ\theta }\mathrm{\}} and Q={\mathrm{\{} θ\theta:sin θ\theta+cos θ\theta=2\sqrt{2} sin θ\theta }\mathrm{\}} be two sets. Then
A
P⊂Q  and  Q−P≠∅P\subset Q{\rm \; and\; Q-P}\ne \emptyset
B
P⊄QP\not\subset Q
C
Q⊄PQ\not\subset P
D
P=Q

Question 33

+12-3
In an acute angled Δ\mathrm{\Delta}ABC the least value of sec A +sec B +sec C is
A
6
B
8
C
3
D
2

Question 34

+12-3
The number of solutions of the equation sin x+ sin 5x=sin 3x lying in the interval [0,π] is
A
4
B
6
C
5
D
2

Question 35

+12-3
The point of intersection of circle x2{}^{2}+y2{}^{2}+10x-12y+51=0 and the line 3y+x=3 is
A
(-6,3)
B
(3,-6)
C
(6,-3)
D
(-3,6)

Question 36

+12-3
If the radius of a circle changes at the rate of −2πm2/sec⁡,-\frac{2}{\pi } m^{2} /\sec ,at what rate does the circle's area change when the radius is 10m (m2{}^{2}/sec)
A
40
B
30
C
-30
D
-40

Question 37

+12-3
Slope of two lines 6x2{}^{2}-xy-2y2{}^{2}=0 differ by
A
5/2
B
7/2
C
7/5
D
-1

Question 38

+12-3
Let f:RR be defined by f(x)={x+2  if  x<0  ∣x−2∣,  if  x≥0  find  ∫−23f(x)dx{\rm f(x)=}\left\{\begin{array}{c} {{\rm x+2\; if\; x<0}} \\ {{\rm \; }\left|{\rm x-2}\right|{\rm ,\; if\; x}\ge {\rm 0}} \end{array}\right. {\rm \; find\; }\int _{-2}^{3}f(x)dx
A
0.5
B
2.5
C
4.5
D
6.5

Question 39

+12-3
∫0πxf(sin⁡x)dx\int _{0}^{\pi }xf(\sin x)dx is equal to
A
π∫0πf(sin⁡x)dx\pi \int _{0}^{\pi }f(\sin x)dx
B
π2∫0π2f(sin⁡x)dx\frac{\pi }{2} \int _{0}^{\frac{\pi }{2} }f(\sin x)dx
C
π∫0π2f(cos⁡x)dx\pi \int _{0}^{\frac{\pi }{2} }f(\cos x)dx
D
π∫0πf(cos⁡x)dx\pi \int _{0}^{\pi }f(\cos x)dx

Question 40

+12-3
The set of points, where f(x) = x1+∣x∣\frac{x}{1+\left|x\right|} is differentiable,
A
(-∞\mathrm{\infty},-1)U(-1,- ∞\mathrm{\infty})
B
(-∞\mathrm{\infty},∞\mathrm{\infty})
C
(0, ∞\mathrm{\infty})
D
(-∞\mathrm{\infty},0)U(0, ∞\mathrm{\infty})

Question 41

+12-3
If the mean of the squares of first n natural numbers be 11, then n is equal to
A
-13/2
B
11
C
5
D
4

Question 42

+12-3
If A is an invertible skew symmetric matrix, then A−1{}^{-1} is a
A
Symmetric matrix
B
zero matrix
C
Skew symmetric matrix
D
identity matrix

Question 43

+12-3
Suppose that m and n are fixed numbers such that the mth  {}^{th\ \ }term of HP is equal to n and the nth term is equal to m(m≠\mathrm{\neq}n) then the (m+n)th{}^{th} term is
A
m+nmn\frac{m+n}{mn}
B
mnm+n\frac{mn}{m+n}
C
m+nn\frac{m+n}{n}
D
m+nm\frac{m+n}{m}

Question 44

+12-3
Sum to infinity of a geometric progression is twice the sum of the first two terms. Then what are the possible values of the common ratios/
A
±12\pm \frac{1}{\sqrt{2} }
B
±\mathrm{\pm} 12\frac{1}{2}
C
±\mathrm{\pm}13\frac{1}{\sqrt{3} }
D
±\mathrm{\pm}13\frac{1}{3}

Question 45

+12-3
The quadratic equation whose roots are sin2{}^{2}180{}^{0} and cos2{}^{2}360{}^{0} is
A
16x2{}^{2}-12x+1=0
B
16x2{}^{2}+12x+1=0
C
16x2{}^{2}-12x-1=0
D
16x2{}^{2}+10x+1=0

Question 46

+12-3
A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is
A
1/25
B
24/25
C
2/25
D
none of these

Question 47

+12-3
Three numbers a, b, and c are chosen at random (without replacement) from among the \newlinenumbers 1, 2, 3,…{\dots}…{\dots}.,99. The probability that a3{}^{3}+b3{}^{3}+c3{}^{3}-3abc is divisible by 3 is
A
3.33c3+(33c1)399c3\frac{3.^{33} c_{3} +(33c_{1} )^{3} }{99c_{3} }
B
3.33c3−(33c1)399c3\frac{3.^{33} c_{3} -(33c_{1} )^{3} }{99c_{3} }
C
2.33c3+(33c1)399c3\frac{2.^{33} c_{3} +(33c_{1} )^{3} }{99c_{3} }
D
2.33c3−(33c1)399c3\frac{2.^{33} c_{3} -(33c_{1} )^{3} }{99c_{3} }

Question 48

+12-3
Two persons A and B agree to meet on 20th{}^{th} April 2018 between 6 P.M. and 7 P.M. with the understanding that they will wait no longer that 20 minutes for the other. What is the probability that they meet?
A
5/9
B
7/9
C
2/9
D
4/9

Question 49

+12-3
The function f(x)=log(x+x2+1\sqrt{x^{2} +1} ) is
A
An even function
B
an odd function
C
periodic function
D
neither (a) nor (b)

Question 50

+12-3
 \textbf{ }6+log⁡1/412[1−121−121−12....]=6+\log _{1/4} \frac{1}{\sqrt{2} } \left[\sqrt{1-\frac{1}{\sqrt{2} } \sqrt{1-\frac{1}{\sqrt{2} } \sqrt{1-\frac{1}{\sqrt{2} } } ....} } \right]=
A
6
B
13/2
C
4
D
25/4

Question 51

+6-1.5
\newline Nine individuals Z, Y, X,W, V, U, T, S and R the only candidates who can serve on three committees A, B and C and each candidate should serve on exactly one of the committees. \newline Committees A should consist of exactly one member more than committees B. it is possible that there are no members of committees C. among Z, Y and X none can serve on committees A. Among W, V, and U none can serve on committees B. Among T, S and R none can serve on committees C.
Question:In case R is the only individuals serving on committee B, which among the following should serve on committee A?
A
W and S
B
V and T
C
U and S
D
T and S

Question 52

+6-1.5
\newline Nine individuals Z, Y, X,W, V, U, T, S and R the only candidates who can serve on three committees A, B and C and each candidate should serve on exactly one of the committees. \newline Committees A should consist of exactly one member more than committees B. it is possible that there are no members of committees C. among Z, Y and X none can serve on committees A. Among W, V, and U none can serve on committees B. Among T, S and R none can serve on committees C.
Question:In case T, S and X are the only individuals serving on committees B, the membership of committee C should be ?
A
Z and Y
B
Z and W
C
Y and V
D
X and V

Question 53

+6-1.5
\newline Nine individuals Z, Y, X,W, V, U, T, S and R the only candidates who can serve on three committees A, B and C and each candidate should serve on exactly one of the committees. \newline Committees A should consist of exactly one member more than committees B. it is possible that there are no members of committees C. among Z, Y and X none can serve on committees A. Among W, V, and U none can serve on committees B. Among T, S and R none can serve on committees C.
Question:In case T and Z are the individuals serving on committees B, how many of the nine individuals should serve on committees C?
A
3
B
4
C
5
D
6

Question 54

+6-1.5
Find the missing term in the series. \newline 3, 20, 63, 144, 275,…{\dots}…{\dots}…{\dots}
A
354
B
468
C
548
D
554

Question 55

+6-1.5
My mother is twice s old as my brother. I am five years younger to my brother but three years older to my sister. If my sister is twelve years of age, how old is my mother?
A
24
B
30
C
40
D
50

Question 56

+6-1.5
Find out the wrong number in the following series. \newline 15, 16, 34, 105, 424, 2124, 12756
A
16
B
34
C
424
D
2124

Question 57

+6-1.5
Find the odd one out.
A
DEHG
B
RSVU
C
JKNM
D
LMQP

Question 58

+6-1.5
A body travels from A to B in 10s with speed of 50 km/h and returns with a speed 100 km/h in 5s. The average speed and the average velocity for whole journey is
A
17.5 ms−1{}^{-1}, 0 km/h
B
16.5 ms−1{}^{-1}, 0 km/h
C
15.5 ms−1{}^{-1}, 0 km/h
D
17.5 ms−1{}^{-1}, 0 km/h

Question 59

+6-1.5
There are 8436 steel balls, each with a radius of 1 cm, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth and so on. The number of horizontal layers in the pile is
A
34
B
38
C
36
D
32

Question 60

+6-1.5
How many numbers between 1 and 1000 are divisible by all numbers 2, 3, 4, 5, and 6?
A
16
B
32
C
17
D
33

Question 61

+6-1.5
Two man and three boys can do a piece of work in ten days; while three men and two boys can do the same work in eight days. In how many days can two men and one boys do the work?
A
12.5
B
9
C
9.5
D
8.5

Question 62

+6-1.5
A run 1231\frac{2}{3} times as fast as B. if A givens B a start of 80 m, how far must the winning post be so that A and B might each it at the same time?
A
200 m
B
400 m
C
300 m
D
160 m

Question 63

+6-1.5
One New York publisher has estimated that 50,000 to 60,000 people in the united States want an anthology that includes tha complete works of William Shakespeare. And what accounts for this renewed interest in Shakespeare? As scholars point out his psychological insight into both male and female characters are amazing even today. \newlineThis paragraph best supports the statement that
A
Shakespeare's character are more interesting than fictional characters today
B
People even today are interested in Shakespeare's work because of the characters
C
Academic scholars are putting together an anthology of Shakespeare's work
D
New Yorkers have a renewed interested in the work of Shakespeare

Question 64

+6-1.5
Choose the conclusion which logically follows from given statement(s). \newline  Statement: \textbf{ Statement: }All scientists working in America are \newline talented. Some Indian scientists are \newline working in America \newline  Conclusions: \textbf{ Conclusions: } \newline 1. None of Indian scientists is talented. \newline 2. Some talented Indian scientists have migrated to America. \newline 3. All talented scientists are Indians. \newline 4. Some Indian scientists are talented. \newline The conclusion(s) correctly drawn is/are
A
1 only
B
2 only
C
2 and 3
D
2 and 4

Question 65

+6-1.5
Decide which of the assumptions is implicit in the statement and choose your answer accordingly. \newline  Statement: \textbf{ Statement: }``Buy pure and natural honey of \newline company X.''−-An advertisement in a newspaper. \newline  Assumptions:\textbf{ Assumptions:} \newline |. Artificial honey can be prepared. \newline ||. People do not mind paying more for pure and natural hone. \newline |||. No other company supplies pure honey.
A
Only I is implicit
B
Only I and II are implicit
C
Only I and III are implicit
D
All are implicit

Question 66

+6-1.5
Two bus tickets from city A to B and three tickets from A to C cost Rs. 77, but three ticket from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?
A
Rs. 4, Rs. 23
B
Rs. 13, Rs. 17
C
Rs. 15, Rs. 14
D
Rs. 17, Rs. 13

Question 67

+6-1.5
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen student watched film A, sixteen students watched film B and nineteen student watched film C. how many students watched all three films?
A
0
B
2
C
4
D
8

Question 68

+6-1.5
Decide which of the given conclusions logically follows from the given statement(s). \newline  Statements:  \textbf{ Statements: }All politician are honest. \newline All honest are fair. \newline  Conclusions: \textbf{ Conclusions: }(I) Some honest are politicians \newline  \textbf{ }(II) No honest is politician \newline (III) Some fair are politicians \newline (IV) All fair are politicians
A
None follows
B
Only I and IV follows
C
Only I and II follows
D
Only I and III follows

Question 69

+6-1.5
By selling an article, what is the profit percent gained? \newline |. 5% discount is given on list price. \newline ||.If discount is not given, 20% profit it gained. \newline |||.The cost price of the articles is Rs. 5,000.
A
One I and II
B
Only II and III
C
Only I and III
D
All of I, II, and III

Question 70

+6-1.5
Statement:\textbf{Statement:} All mangoes are golden in colour. \newline   \textbf{ }No golden-coloured things are cheap. \newline  Conclusion: \textbf{ Conclusion: }(I) All mangoes are cheap. \newline  \textbf{ }(II) Golden-coloured mangoes are not cheap.
A
Only conclusion I follows
B
Only conclusion II follows
C
Either I or II follows
D
Neither I nor II follows

Question 71

+6-1.5
Choose the picture that would go in the empty box so that two bottom pictures are related in the same way as the top two are related
Question 71 Image
A
1
B
2
C
3
D
4

Question 72

+6-1.5
Find the number of triangle in the given picture.
Question 72 Image
A
10
B
12
C
14
D
16

Question 73

+6-1.5
Decide which of the given conclusion logically follow from the given statement(s) \newline  Statements:\textbf{ Statements:} Some metals are alloys. \newline  \textbf{ }No Metal is a stone. \newline Conclusions: I.\textbf{ Conclusions: I.} No alloy is stone. \newline II.\textbf{ II.} Atleast some alloys are metals.
A
Neither conclusion I nor II is true
B
Only conclusion II is true
C
Only conclusion I is true
D
Both conclusion I and II are true

Question 74

+6-1.5
Decide which of the given conclusions logically follow from the given statement(s). \newline  Statement:\textbf{ Statement:} Some codes are secrets. \newline All secrets are puzzles. \newline  Conclusions:\textbf{ Conclusions:} I.\textbf{I.} all secrets being codes is a \newline possibility. \newline II. I\textbf{I.} Atleast some puzzles are codes.
A
Only conclusion I is true
B
Only conclusion II is true
C
Either conclusion I or II is true
D
Both conclusion I and II are true

Question 75

+6-1.5
Which one of the following figures fits into blank part Of the above matrix?
Question 75 Image
A
Option A Image
B
Option B Image
C
Option C Image
D
Option D Image

Question 76

+6-1.5
The time on the watch is quarter to tree. If the minute hand point North-East, in which direction does the hour hand point?
A
North-West
B
South-West
C
South-East
D
North-East

Question 77

+6-1.5
A caterpillar crawls up a pole of 75 inches high, staring from the ground. Each day, it crawls up 5 inches and each night it slides down 4 inches. When will it reach the top of the pole?
A
End of 70 days
B
End of 71 days
C
End of 72 days
D
End of 73 days

Question 78

+6-1.5
In the below series, you will be looking at the letter pattern or number pattern. Fill the blank in the series. \newline JAK, KBL, LCM, MDN,
A
OEP
B
NEO
C
MEN
D
PFQ

Question 79

+6-1.5
If the first and the third letters in the group DISTRIBUTION are interchanged and also the second and the fourth letter, the fifth and the seventh and so on, then which of the following would be the seventh letter from the left?
A
U
B
R
C
B
D
T

Question 80

+6-1.5
In the figure given below, if the area of parallelogram ABCD is 208 cm2{}^{2}, what is the Height of the parallelogram ABEF?
Question 80 Image
A
15 cm
B
15.5 cm
C
16 cm
D
16.5 cm

Question 81

+6-1.5
Three person A, B and C wear shirts of Black, Blue and Orange colors (not Necessarily in the same order) and pants of green, yellow and orange (not Necessarily in the same order). No person wore shirt and pant of the same color. Further, it is given that, \newline |. A did not wear Shirt of black color. \newline ||. B did not wear shirt of blue color. \newline |||. C did not wear shirt orange color. \newline V|.A did not wear the paint of green color. \newlinev. B wore pant of orange color. \newline What were the colors of the pant and shirt worn by C respectively?
A
Orange and Black
B
Green and Blue
C
Yellow and Blue
D
Yellow And Black

Question 82

+6-1.5
Two pipes A and B can fill a cistern in 37.5 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half hour, if the B is turned off after
A
5 Minutes
B
9 Minutes
C
10 Minutes
D
15 Minutes

Question 83

+6-1.5
Let S be the set of integers x such that \newline 100≤\mathrm{\le}x≤\mathrm{\le}200 \newline X is odd and \newline X is divisible by 3 but not by 7 \newline How many elements does S contain?
A
16
B
12
C
11
D
13

Question 84

+6-1.5
Let n be the number of different 5 digit numbers, divisible by 4 that can be formed with the digit 1, 2, 3, 4, 5 and 6, with no digit being repeated. What is the value of n?
A
144
B
168
C
192
D
222

Question 85

+6-1.5
If log3{}_{3}2, log3{}_{3}(2x{}^{x}-5), log3{}_{3} (2x{}^{x}-72\frac{7}{2} ) are in arithmetic progression, then the value of x is equal to
A
5
B
4
C
3
D
2

Question 86

+6-1.5
At what time, in minutes, between 3 `O' clock and 4 `O' clock. Both the needles will coincide each other?
A
51"115\frac{1"}{11}
B
124"1112\frac{4"}{11}
C
134"1113\frac{4"}{11}
D
164"1116\frac{4"}{11}

Question 87

+6-1.5
It has been reported in resent years that a very large number of sets in the engineering colleges in the country remain vacant at the end of the admission session. \newline Which of the following may be the end of the admission session.
A
There has been a considerable decrease in hiring of engineering graduates due to economic slowdown in the recent years.
B
Students have always preferred to complete graduation in tree years time instead of four years for engineering.
C
The govt. has recently decided to provide post qualification professional training to all engineering graduates at its own cost.
D
None of these.

Question 88

+6-1.5
The last digit of the number obtained by multiplying the number 81×82×83×84×85×86×87×88×8981\times 82\times 83\times 84\times 85\times 86\times 87\times 88\times 89will be
A
0
B
9
C
7
D
2

Question 89

+6-1.5
There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. 10 students can both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi, and how many can speak only English.
A
21, 11 and 29 respectively
B
28, 18 and 22 respectively
C
37, 27 and 13 respectively
D
39, 29 and 11 respectively

Question 90

+6-1.5
 \textbf{ }In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?
A
20%
B
25%
C
50%
D
75%

Question 91

+8-2
Which one of the following expressions does NOT represent exclusive NOR of x and y
A
xy+xˉ  yˉxy+\bar{x}{\rm \; }\bar{y}
B
x⊕yˉx\oplus \bar{y}
C
xˉ⊕y\bar{x}\oplus y
D
xˉ⊕yˉ\bar{x}\oplus \bar{y}

Question 92

+8-2
What are the values of R1{}_{1} and R2{}_{2} respectively in the expression (235)R1{}_{R1}=(565)10{}_{10}=(1065)R2{}_{R2}
A
8, 16
B
16,8
C
8, 12
D
16, 12

Question 93

+8-2
Let the memory access time is 10 milliseconds and cache access time is 10 microseconds. Assume the cache hit ratio 15%. The effective memory access time is
A
2 milliseconds
B
1.5 milliseconds
C
1.85 microseconds
D
1.85 milliseconds

Question 94

+8-2
Consider the equation (43)x=(y3)8 where x and y are unknown. The number of possible solution is
A
4
B
5
C
6
D
7

Question 95

+8-2
What type of errors are not detected by assembler?
A
Syntax error
B
run time error
C
Logical error
D
all of these

Question 96

+8-2
Given 224r=(13)r\sqrt{{224}_{r}}={(13)}_{r}, the value of the radix is
A
10
B
8
C
5
D
6

Question 97

+8-2
If signal passing through a gate is inhibited by sending a low into one of the inputs and the output is high, the gate is
A
NOR
B
NAND
C
AND
D
OR

Question 98

+8-2
The output of the combinational circuits given below
Question 98 Image
A
A+B+C
B
A(B+C)
C
B(C+A)
D
C(A+B)

Question 99

+8-2
In order to store floating numbers in computers using the normalized representation and 32-bit single precision, the number of bits used for exponent and fraction are ______,______\_\_\_\_\_\_,\_\_\_\_\_\_ respectively.
A
11, 21
B
16, 15
C
16, 16
D
8, 23

Question 100

+8-2
 \textbf{ }What is the minimal form of Karnaugh map shown below?(Assume that x denotes a don't care term)
Question 100 Image
A
b'd'
B
b'd'+b'c'
C
b'd'+a'd'c'd'
D
b'd'+b'c'+c'd'

Question 101

+4-1
Choose an option to replace the phrase given in bold. \newline The bank has hired a consultant who will look into\textbf{will look into} any issues which arise during the merger.
A
is looking over
B
will be looked over
C
Will look out
D
no correction required

Question 102

+4-1
Which of the following is close to the meaning of the meaning of the word, IMPOLITIC?
A
Impolite
B
intolerant
C
Incongruous
D
Injudicious

Question 103

+4-1
Choose the phrasal verb that means ``To spend time doing unimportant things instead of doing necessary things''.
A
Fake out
B
Faff about
C
Fade out
D
Fall apart

Question 104

+4-1
Find the synonym that is most nearly similar in meaning to the word : DEBACLE\textbf{: DEBACLE}
A
Catastrophe
B
Dandy
C
Corker
D
Opulence

Question 105

+4-1
Read the following passage and answer the questions \textbf{Read the following passage and answer the questions } \newline I do not wish to cast aspersions on the corporate takeover. On the contrary, it is a key facilitator of creative destruction and doubtless the most effective remaining means by which shareholder voices can mold a corporation. But while change in management is often necessary, you cannot effectively run a corporation with differing authoritative voices espousing opposing corporate goals. It has to be one or the other. If the board is riven with conflicting interests, corporate governance will suffer. If directors cannot agree with the CEO's strategy, they should replace him. Corporate dissonance, of course, is unavoidable in periods of transition. But it is not a value to be pursued for its own sake. A cacophony produces only red ink
Question:What according to the author makes corporate governance suffer?
A
Confliction strategies of executives
B
Conflicting interests of customers
C
Conflicting interests of statesmen
D
Conflicting interests of the board of directors

Question 106

+4-1
Read the following passage and answer the questions \textbf{Read the following passage and answer the questions } \newline I do not wish to cast aspersions on the corporate takeover. On the contrary, it is a key facilitator of creative destruction and doubtless the most effective remaining means by which shareholder voices can mold a corporation. But while change in management is often necessary, you cannot effectively run a corporation with differing authoritative voices espousing opposing corporate goals. It has to be one or the other. If the board is riven with conflicting interests, corporate governance will suffer. If directors cannot agree with the CEO's strategy, they should replace him. Corporate dissonance, of course, is unavoidable in periods of transition. But it is not a value to be pursued for its own sake. A cacophony produces only red ink
Question: Which of the following words used in the passage reinforces the idea contained in the word, 'DISSONANCED'?
A
Aspersions
B
Cacophony
C
strategy
D
Transition

Question 107

+4-1
Read the following passage and answer the questions \textbf{Read the following passage and answer the questions } \newline I do not wish to cast aspersions on the corporate takeover. On the contrary, it is a key facilitator of creative destruction and doubtless the most effective remaining means by which shareholder voices can mold a corporation. But while change in management is often necessary, you cannot effectively run a corporation with differing authoritative voices espousing opposing corporate goals. It has to be one or the other. If the board is riven with conflicting interests, corporate governance will suffer. If directors cannot agree with the CEO's strategy, they should replace him. Corporate dissonance, of course, is unavoidable in periods of transition. But it is not a value to be pursued for its own sake. A cacophony produces only red ink
Question: What according to the author facilitates creative destruction?
A
Corporatism
B
Modernism
C
Terrorism
D
Cosmopolitanism

Question 108

+4-1
The sentences given below when properly sequenced form a coherent paragraph. \newline Each sentence is labeled with a letter. Choose the most logical order of sentences from the given choices to construct a coherent paragraph. \newline P:\textbf{P:} I refers to those times when there is no war or \newline \textbf{ }fight among nations. \newline Q:\textbf{Q:} Many people argue that war is a necessary evil \newline  \textbf{ }and the only process of solving international \newline disputes. \newline R:\textbf{R:} Peace means complete freedom from disturbance. \newline S: \textbf{S:} Once the world starts believing that wars are \newline   \textbf{ }unnecessary, they decide to abolish war completely \newline T:\textbf{T:} But in reality, war happens only because people \newline \textbf{ }are not ready to settle disputes in a peaceful \newline manner.
A
TSRQP
B
RTQPS
C
SPTQR
D
QTRPS

Question 109

+4-1
In the question, the word ``Echo'' is usual in four different ways, unnumbered A to D. \newline Choose the option in which the usage of the word is inappropriate.
A
The crowd cheered to the echo in the foot ball match
B
I started to feel nostalgic as I stood in the old neighborhood that echoed with my childhood
C
A loud thunder echo hit the tallest building
D
My thoughts echoed with the sounds of spring

Question 110

+4-1
The other boys or Henry____\_\_\_\_ to blame
A
is
B
are
C
were
D
will

Question 111

+4-1
The ___________\_\_\_\_\_\_\_\_\_\_\_ Pittance the widow receives from the government cannot keep her from poverty
A
Meagre
B
Indulgent
C
Meticulous
D
Magnanimous

Question 112

+4-1
Identify the underlined part which has an error \newline He couldn’t‾\underbar{couldn't} cope up‾\underbar{cope up} with the hot climate‾\underbar{climate} of the place \newline any longer‾\underbar{any longer}.
A
Couldn't
B
cope up
C
climate
D
any longer

Question 113

+4-1
Which collocation goes with the word AWARE\textbf{AWARE}
A
Rightly
B
fully
C
nearly
D
exactly

Question 114

+4-1
Choose one of the options that is most nearly same as meaning of the word Epitome\textbf{Epitome}
A
Final verdict
B
Climax
C
Essence
D
Tombstone

Question 115

+4-1
Fill in the blank choosing the correct question tag. \newline He has done his duty,___________\_\_\_\_\_\_\_\_\_\_\_
A
Shouldn't he?
B
Hasn't he?
C
Won't he?
D
Has he?

Question 116

+4-1
Fill in the blank choosing the correct word \newline The Vote will have to be laid______\_\_\_\_\_\_ until next week.
A
On
B
in
C
over
D
from

Question 117

+4-1
Which of the following is the closet in meaning to the word, CLOWN?
A
Idiot
B
Dunce
C
Don
D
Jester

Question 118

+4-1
Select the pair of words, which are related in the same way as the capitalized words are related o each other \newline BUTTERFLY : FREEDOM
A
Frog: Tadpole
B
Self reliant: Buoyant
C
Alga: Lichens
D
Chicken: Rooster

Question 119

+4-1
Choose the correct spelling for the word given below.
A
cieling
B
Cealing
C
Ceiling
D
Ceeling

Question 120

+4-1
 \textbf{ }Change the speech: ``If you don't keep quite I shall you'', he said to her in a calm voice.
A
He warned her to shoot if she didn't keep quite calmly
B
He said calmly that I shall shoot you if you don't be quite
C
He warned her calmly that he would shot her if she didn't keep quite.
D
Calmly he warned her that be quite or else he will have to shoot her
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