Nimcet-2017

Question 1

+12-3

The derivative of (x

{}^{3}

+e

{}^{x}

+3

{}^{x}

+cotx) with respect to x is

A

3x^{2} +e^{x} +3^{x} (\log 3)-\cos ec^{2} x

B

3x^{2} +e^{x} +3^{x} (\log 3)+\cos ec^{2} x

C

3x^{2} +e^{x} +3^{x} (\log 3)-sec^{2} x

D

3x^{2} +e^{x} +3^{x} (\log 3)+sec^{2} x

Question 2

+12-3

If

y=\cos ^{2} x^{2}

, find

\frac{dy}{dx}

A

4x

{}^{2}

sinx

{}^{2}

cosx

{}^{2}

B

-4xcosx

{}^{2}

sinx

{}^{2}

C

2xsinx

{}^{2}

cosx

{}^{2}

D

-2xcosx

{}^{2}

sinx

{}^{2}

Question 3

+12-3

The critical point and nature for the function f(x,y) =x

{}^{2}

-2x+2y

{}^{2}

+4y-2 is

A

(1,1), maximum

B

(1,-1) max

C

(1,1) min

D

(1,-1) min

Question 4

+12-3

Evaluate

\int _{0}^{1}x(1-x)^{n} dx

A

-\frac{1}{(n+1)(n+2)}

B

\frac{1}{(n+1)(n+2)}

C

(n+1) (n+2)

D

(n-1) (n-2)

Question 5

+12-3

Evaluate

\lim _{x\to 0} (x\tan x)/(1-\cos x)

A

\frac{1}{2}

B

-\frac{1}{2}

C

-2

D

2

Question 6

+12-3

Differentiate

\left\{-\log (\log x),x>1\right\}

with respect to x

A

1/(x logx)

B

1/(logx)

C

\frac{1}{x}

D

x logx

Question 7

+12-3

The solution of the differential equation

\frac{dy}{dx} =e^{x+y} +x^{2} e^{y}

is

A

e^{x+y} +\frac{x^{3} }{3} +c

B

e^{x} +e^{-y} +\frac{x^{3} }{3} +c

C

e^{x} +e^{-y} +c

D

None of these

Question 8

+12-3

What is the largest area of an isosceles triangle with two edges of the length 3?

A

3

B

\frac{3}{2}

C

9

D

\frac{9}{2}

Question 9

+12-3

The slope of the function

f(x)=\left\{\begin{array}{l} {x^{2} \sin \frac{1}{x} ,x\ne 0} \\ {{\rm \; \; \; \; 0,\; \; \; x=0}} \end{array}\right.

A

1

B

0

C

-1

D

None of these

Question 10

+12-3

The solution of (e

{}^{x}

+1)y dy =(y+1) e

{}^{x}

dx is

A

e

{}^{y}

=c(e

{}^{x}

+1)(y+1)

B

e

{}^{y}

=e

{}^{x}

+y+1

C

y=(e

{}^{x}

+1)(y+1)

D

None of these

Question 11

+12-3

The maximum value of

4\sin ^{2} x+3\cos ^{2} x+\sin \frac{x}{2} +\cos \frac{x}{2}

is

A

4

B

3+\sqrt{2}

C

9

D

4+\sqrt{2}

Question 12

+12-3

Let f(a) be a polynomial of degree four, having extreme values at x=1 and x=2, if

\lim _{x\to 0} \left[1+\frac{f(x)}{x^{2} } \right]=3

, then f(2) is

A

0

B

4

C

-8

D

-4

Question 13

+12-3

The value of

\int _{0}^{\pi }x^{3} \sin x

dx is

A

\pi ^{3} -6\pi

B

-\pi ^{3} -6\pi

C

-\pi ^{3} +6\pi

D

\pi ^{3} +6\pi

Question 14

+12-3

The number of elements in the power set P(S) of the set S=

\mathrm{\{}

2,

\mathrm{\{}

1,4

\mathrm{\}}

\mathrm{\}}

is

A

2

B

4

C

8

D

10

Question 15

+12-3

If

\overrightarrow{a}=(\widehat{i}+2\widehat{j}-3\widehat{k})

and

\overrightarrow{b}=(3\widehat{i}-\widehat{j}-2\widehat{k})

then the angle between

\left(\overrightarrow{a}+\overrightarrow{b}\right)

and

\left(\overrightarrow{a}-\overrightarrow{b}\right)

is

A

\frac{\pi }{3}

B

\frac{\pi }{4}

C

\frac{\pi }{2}

D

\frac{2\pi }{3}

Question 16

+12-3

Let

\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}

be vectors such that

\left|\overrightarrow{a}\right|=2,\left|\overrightarrow{b}\right|=3,\left|\overrightarrow{c}\right|=5

and

\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=0

. The value of

\overrightarrow{a}.\overrightarrow{b}+\overrightarrow{b}.\overrightarrow{c}+\overrightarrow{c}.\overrightarrow{a}

is

A

38

B

-38

C

19

D

-19

Question 17

+12-3

Let

\overrightarrow{a},\overrightarrow{b}

and

\overrightarrow{c}

be three vectors having magnitudes 1, 1 and 2 respectively. If

\overrightarrow{a}\times (\overrightarrow{a}\times \overrightarrow{c})-\overrightarrow{b}=0

then the acute angle between

\overrightarrow{a}

and

\overrightarrow{c}

is

A

\frac{\pi }{4}

B

\frac{\pi }{6}

C

\frac{\pi }{3}

D

None of these

Question 18

+12-3

Let A and B be two sets containing four and two elements respectively. The number of Subsets of the set

A\times B

, each having at least three elements is

A

270

B

239

C

219

D

256

Question 19

+12-3

m distinct animal of a circus have to placed in m cage, one in each cage. There are n small cages and p small animal (n

\mathrm{<}

p

\mathrm{<}

m). the large animals are so that they do not fir in small cage. However, small animals can be put in any cage. The number of ways of putting the animals into cages is

A

\left\{{}^{m-n} P_{p} \right\}\left\{{}^{m-p} P_{m-p} \right\}

B

{}^{(m-n)} C_{p}

C

\left\{{}^{m-n} C_{p} \right\}\left\{{}^{m-p} C_{m-p} \right\}

D

{}^{(m-n)} P_{p}

Question 20

+12-3

If (1-x+x

{}^{2}

)

{}^{n}

=a

{}_{0}

+a

{}_{1}

x+a

{}_{2}

x

{}^{2}

+

{\dots}

{\dots}

+a

{}_{2n}

x

{}^{2n}

, then a

{}_{0}

+a

{}_{2}

+a

{}_{4}

+

{\dots}

+a

{}_{2n}

is

A

\frac{3^{n} +1}{2}

B

\frac{3^{n} -1}{2}

C

\frac{1-3^{n} }{2}

D

3^{n} +\frac{1}{2}

Question 21

+12-3

The direction cosine of the vector

\overrightarrow{a}=(-2\widehat{i}+\widehat{j}-5\widehat{k})

are

A

-2, 1, -5

B

\frac{1}{3} ,-\frac{1}{6} ,-\frac{5}{6}

C

\frac{2}{\sqrt{30} } ,\frac{1}{\sqrt{30} } ,\frac{5}{\sqrt{30} }

D

-\frac{2}{\sqrt{30} } ,\frac{1}{\sqrt{30} } ,-\frac{5}{\sqrt{30} }

Question 22

+12-3

If the graph of y=(x-2)

{}^{2}

-3 is shifted by 5 units up along y-axis and 2 units to the right the x-axis, then the equation of the resultant graph is

A

y=x

{}^{2}

+2

B

y=(x-2)

{}^{2}

+5

C

y=(x+2)

{}^{2}

+2

D

y=(x-4)

{}^{2}

+2

Question 23

+12-3

The equation of the tangents line to the curve y=2xsinx at the point

\left(\frac{\pi }{2} ,\pi \right)

is

A

y=2x+2

\pi

B

y=2x

C

y=-2x+2

\pi

D

y= -2x

Question 24

+12-3

If x

{}^{2}

+3xy+2y

{}^{2}

-x-4y-6=0 represents a pair of straight lines, their point of intersection is

A

(0,0)

B

(8,5)

C

(8,-5)

D

(-2,5)

Question 25

+12-3

If

a\widehat{i}+\widehat{j}+\widehat{k},{\rm \; }\widehat{i}+b\widehat{j}+\widehat{k},{\rm \; }\widehat{i}+\widehat{j}+c\widehat{k}

(a\ne b\ne c\ne 1)

are co-planar, then the value of

\frac{1}{1-a} +\frac{1}{1-b} +\frac{1}{1-c}

is

A

-1

B

\frac{1}{2}

C

-\frac{1}{2}

D

1

Question 26

+12-3

If

\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}

are vectors such that

\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=0

and

\left|\overrightarrow{a}\right|=7,\left|\overrightarrow{b}\right|=5,\left|\overrightarrow{c}\right|=3

, then the angle between the vectors

\overrightarrow{b}

and

\overrightarrow{c}

is

A

60

{}^{0}

B

30

{}^{0}

C

45

{}^{0}

D

90

{}^{0}

Question 27

+12-3

The equation of the hyperbola with centre at origin, length of the transverse axis is 6 and one focus at (0, 4) is

A

\frac{y^{2} }{9} +\frac{x^{2} }{7} =1

B

\frac{y^{2} }{9} -\frac{x^{2} }{7} =1

C

\frac{y^{2} }{7} +\frac{x^{2} }{9} =1

D

\frac{y^{2} }{7} -\frac{x^{2} }{9} =1

Question 28

+12-3

Express (cos 5x- cos 7x) are a product of sines or cosines or sines and cosines.

A

2 cos 4x cos x

B

2 sin 4x sin x

C

2 sin 6x sin x

D

2 cos 6x cos x

Question 29

+12-3

The value of sin 36

{}^{0}

is

A

\frac{\sqrt{10+2\sqrt{5} } }{4}

B

\frac{\sqrt{10-2\sqrt{5} } }{4}

C

\frac{\sqrt{5} +1}{4}

D

\frac{\sqrt{5} -1}{4}

Question 30

+12-3

If

\cos \theta =\frac{4}{5}

and

\cos \phi =\frac{12}{13}

, with

\theta

and

\phi

both in the fourth quadrant, the value of

\cos (\theta +\phi )

is

A

-\frac{16}{65}

B

-\frac{33}{65}

C

\frac{33}{65}

D

\frac{16}{65}

Question 31

+12-3

Find the principal value of

\cot ^{-1} \left(-\sqrt{3} \right)

A

\frac{\pi }{2}

B

\frac{\pi }{6}

C

\frac{7\pi }{6}

D

\frac{5\pi }{6}

Question 32

+12-3

In a triangle ABC , let

\angle C=\frac{\pi }{2}

\textbf{. }

If r is the inradius and R is circumradius of the triangle ABC, then 2(r+R) equals

A

a+c

B

a+b+c

C

a+b

D

b+c

Question 33

+12-3

If the lines x+(a-1)y+1=0 and 2x+a

{}^{2}

y-1=0 are perpendicular, then the condition satisfied by a is

A

\left|a\right|=2

B

0

\mathrm{<}

a

\mathrm{<}

1

C

-1

\mathrm{<}

a

\mathrm{<}

0

D

a=-1

Question 34

+12-3

If non zero numbers a, b, c are in A.P. then the straight line

\frac{x}{a} +\frac{y}{b} +\frac{1}{c} =0

always passes through a fixed point, then the points is

A

(1, -2)

B

\left(1,-\frac{1}{2} \right)

C

(-1, 2)

D

None of these

Question 35

+12-3

The equation (x-a)

{}^{3}

+(x-b)

{}^{3}

+(x-c)

{}^{3}

=0 has

A

All three real roots

B

One real and two imaginary roots

C

Three real roots, namely x=a, y=b, z=c

D

None of these

Question 36

+12-3

\alpha

,

\beta

are the roots of an equation x

{}^{2}

-2x cosO+1=0, then the equation having

\alpha

{}^{n}

and

\beta

{}^{n}

is

A

x^{2} -(2\cos n\theta )x+1=0

B

2x^{2} -(2\cos n\theta )x-1=0

C

x^{2} +(2\cos n\theta )x+1=0

D

x^{2} +(2\cos n\theta )x-1=0

Question 37

+12-3

If

\tan x = \frac{{ - 3}}{4}

and

\frac{{3\pi }}{2} < x < 2\pi

then the value of

sin2x

is

A

\frac{7}{25}

B

-\frac{7}{25}

C

\frac{24}{25}

D

-\frac{24}{25}

Question 38

+12-3

The value of A that satisfies the equation a sin A + b cos A = c is equal to

A

\tan ^{-1} \left(\frac{a}{b} \right)\pm \cos ^{-1} \left(\frac{c}{\sqrt{a^{2} +b^{2} } } \right)

B

\tan ^{-1} \left(\frac{c}{b} \right)\pm \sin ^{-1} \left(\frac{a}{\sqrt{a^{2} +b^{2} } } \right)

C

\tan ^{-1} \left(\frac{a}{b} \right)\pm \sin ^{-1} \left(\frac{c}{\sqrt{a^{2} +b^{2} } } \right)

D

None of these

Question 39

+12-3

If

\sin ^{-1} \frac{2a}{1+a^{2} } +\sin ^{-1} \frac{2b}{1+b^{2} } =2\tan ^{-1} n

then

A

n=\frac{a-b}{1+ab}

B

n=\frac{ab}{a-b}

C

n=\frac{a+b}{1-ab}

D

n=\frac{1-ab}{1+ab}

Question 40

+12-3

Three positive numbers whose sum is 21 are in arithmetic progression. If 2, 2, 14 are added to them respectively then resulting numbers are in geometric progression. Then which of the following is not among the three numbers?

A

25

B

13

C

1

D

7

Question 41

+12-3

If

\overline{X}

is the mean of a distribution of X, then under usual notation

\sum _{i=1}^{n}f_{i} (X_{i} -\overline{X})

is

A

Mean deviation about mean

B

Standard deviation

C

1

D

0

Question 42

+12-3

The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively. The P(X=1) is

A

\frac{1}{32}

B

\frac{1}{16}

C

\frac{1}{8}

D

\frac{1}{4}

Question 43

+12-3

Let A and B be two events such that

P\overline{A\bigcup B}=\frac{1}{6}

,

P\left(A\cap B\right)=\frac{1}{4}

, and

P(\overline{A})=\frac{1}{4}

, where

\overline{A}

stands for complement of event A. Then the events A and B are

A

Independent but not equally likely

B

Mutually exclusive and independent

C

Equally likely and mutually exclusive

D

Equally likely but not independent

Question 44

+12-3

A man is known to speak the truth 2 out of 3 times. He threw a dice cube with 1 to 6 on its faces and reports that it is 1. Then probability that it is actually 1 is

A

\frac{1}{2}

B

\frac{1}{7}

C

\frac{2}{7}

D

\frac{5}{6}

Question 45

+12-3

If in a triangle ABC, the altitudes from the vertices, A, B, C on opposite sides are in HP, then Sin A, Sin B, Sin C are in

A

HP

B

AGP

C

AP

D

GP

Question 46

+12-3

Find a matrix X such that 2A+B+X=0, where A=

\left[\begin{array}{l} {{\rm -1\; \; \; \; \; \; 2}} \\ {{\rm 3\; \; \; \; 4}} \end{array}\right]

and B=

\left[\begin{array}{l} {{\rm 3\; \; \; \; \; \; -2}} \\ {{\rm 1\; \; \; \; 5}} \end{array}\right]

A

\left[\begin{array}{l} {{\rm 1\; \; \; \; \; \; 2}} \\ {{\rm 7\; \; \; \; 13}} \end{array}\right]

B

\left[\begin{array}{l} {{\rm -1\; \; \; \; \; \; -2}} \\ {{\rm -7\; \; \; \; -13}} \end{array}\right]

C

\left[\begin{array}{l} {{\rm 13\; \; \; \; \; \; 2}} \\ {{\rm 7\; \; \; \; \; \; \; \; 1}} \end{array}\right]

D

\left[\begin{array}{l} {{\rm -13\; \; \; \; -2}} \\ {{\rm -7\; \; \; \; \; \; -1}} \end{array}\right]

Question 47

+12-3

If E

{}_{1}

and E

{}_{2}

are two events associated with a random experiment such that

\newline

P(E

{}_{2}

)=0.35, P(E

{}_{1}

or E

{}_{2}

) = 0.85 and P(E

{}_{1}

and E

{}_{2}

) = 0.15, then P(E

{}_{1}

) is

A

0.25

B

0.35

C

0.65

D

0.75

Question 48

+12-3

The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2a+G

{}^{2}

=27, then the two numbers are

A

4 and 2

B

6 and 3

C

5 and 7

D

4 and 1

Question 49

+12-3

A and B are independent witness in a case. The chance that A speaks truth is x and B speaks truth is y. If A and B agree on certain statement, the probability that the statement is truth is

A

\frac{xy}{xy+(1-x)(1-y)}

B

\frac{xy}{(1-x)(1-y)}

C

\frac{(1-x)(1-y)}{xy+(1-y)(1-x)}

D

\frac{x+y}{xy+(1-x)(1-y)}

Question 50

+12-3

In an entrance test there are multiple choice questions, with four possible answer to each question of which one is correct. The probability that a student knows the answer to a question is 90%. If the student gets the correct answer to a question, then the probability that he was guessing is

A

\frac{37}{40}

B

\frac{1}{37}

C

\frac{36}{37}

D

\frac{1}{9}

Question 51

+6-1.5

In the following sequence, which pair of numbers fill in the blank.

\newline

1, 1, 3, 2, 8, 5, 21, 13,

\_\_, \_\_

A

54, 33

B

34, 55

C

55, 34

D

33, 54

Question 52

+6-1.5

How many minimum numbers of colors will be required to paint all the sides of a cube without the adjacent sides having the same colors?

A

3

B

4

C

5

D

6

Question 53

+6-1.5

Which two of the following numbers comes next in the following sequence:

\newline

61, 57, 50, 61, 43, 36, 61,

{\dots}

{\dots}

{\dots}

{\dots}

A

29, 61

B

29, 20

C

29, 22

D

31, 61

Question 54

+6-1.5

If TRANSFER is coded as RTNAFSRE, then ELEPHANT would be coded as

A

LEPEHATN

B

LEPEAHTN

C

LEEPAHTN

D

LEPEAHNT

Question 55

+6-1.5

Which of the following pairs of members follow the numbers in the series 2, 4, 12, 24, 72,

\_\_, \_\_

?

A

144, 432

B

288, 332

C

332, 288

D

432, 144

Question 56

+6-1.5

Pointing a boy, Aruna said to pushpa, ``the mother of his father is the wife of your maternal grand- father''. How is pushpa related to that boy?

A

Sister

B

Niece

C

Cousin Sister

D

Wife

Question 57

+6-1.5

John is 20 years older than Steve. In 10 years, Steve's age will be half that of John. What is Steve's age now?

A

2

B

8

C

10

D

20

Question 58

+6-1.5

Raghav left his home for office in car. He drove 15 km straight north and then turned eastwards and covered 8 km. He then turned to left and covered 1 km. He again turned left and drove for 20km and reached office. How far and in which direction is his office from the home?

A

20km North-West

B

15km North-West

C

30km North-West

D

25km north

Question 59

+6-1.5

\newline

There are six teachers A, B, C, D, E, and F in a school. Each teacher has to teach two subjects, one compulsory and the other optional. D's optional is history, while three others have it as a compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is mathematics which is an optional subject of both C and E. history and English are A's subjects but in terms of compulsory and optional subjects, they are reverse of D's. Chemistry is an optional subject of one of the teachers. There is only one female teacher, who has English as her compulsory subject.

Question: Disregarding which is compulsory or optional subject, who has the same two subject combination as that of F?

A

B

E

C

D

A

Question 60

+6-1.5

\newline

There are six teachers A, B, C, D, E, and F in a school. Each teacher has to teach two subjects, one compulsory and the other optional. D's optional is history, while three others have it as a compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is mathematics which is an optional subject of both C and E. history and English are A's subjects but in terms of compulsory and optional subjects, they are reverse of D's. Chemistry is an optional subject of one of the teachers. There is only one female teacher, who has English as her compulsory subject.

Question: Which of the following groups of teaches has History as the compulsory subject?

A

B, C and D

B

C and D

C

A, B and C

D

A, C and D

Question 61

+6-1.5

\newline

There are six teachers A, B, C, D, E, and F in a school. Each teacher has to teach two subjects, one compulsory and the other optional. D's optional is history, while three others have it as a compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is mathematics which is an optional subject of both C and E. history and English are A's subjects but in terms of compulsory and optional subjects, they are reverse of D's. Chemistry is an optional subject of one of the teachers. There is only one female teacher, who has English as her compulsory subject.

Question:Who among the following, has chemistry as a subject?

A

B

C

D

Question 62

+6-1.5

\newline

There are six teachers A, B, C, D, E, and F in a school. Each teacher has to teach two subjects, one compulsory and the other optional. D's optional is history, while three others have it as a compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is mathematics which is an optional subject of both C and E. history and English are A's subjects but in terms of compulsory and optional subjects, they are reverse of D's. Chemistry is an optional subject of one of the teachers. There is only one female teacher, who has English as her compulsory subject.

Question:What is C's compulsory subjects?

A

Physics

B

Chemistry

C

English

D

History

Question 63

+6-1.5

P, Q, R, S, T and U are sitting in two rows, three in each row facing each other.

\newline

R is second to the left of P.

\newline

Q and T are facing each other.

\newline

S and P are diagonally opposite to each other.

\newline

Q is not a neighbor of R.

\newline

Which of the following are sitting in a row?

A

P, Q, R

B

P, U, S

C

U, T, S

D

P, T, R

Question 64

+6-1.5

\newline

A, B, C, D, E, G, G, and H are sitting around a circular table facing the centre. Each one of them has a different profession viz. doctor, engineer, architect, teacher, clerk, shopkeeper, banker and businessman

\newline

A sit third to right of teacher.

\newline

D sits second to left of G.

\newline

G is not an immediate neighbor of teacher.

\newline

Only one person sits between B, the shopkeeper and the teacher.

\newline

The one who is an architect sits third to right of the shopkeeper.

\newline

H sits between architect and engineer.

\newline

E is not an immediate neighbor of H

\newline

Engineer sits third to the right of clerk.

\newline

Only one person sits between the businessman and F.

Question:Which of the following is true with respect to the given sitting arrangement?

A

E is an immediate neighbor of the engineer.

B

E is an architect.

C

The clerk is an immediate neighbor of the banker.

D

The teacher sits between H and the engineer.

Question 65

+6-1.5

\newline

A, B, C, D, E, G, G, and H are sitting around a circular table facing the centre. Each one of them has a different profession viz. doctor, engineer, architect, teacher, clerk, shopkeeper, banker and businessman

\newline

A sit third to right of teacher.

\newline

D sits second to left of G.

\newline

G is not an immediate neighbor of teacher.

\newline

Only one person sits between B, the shopkeeper and the teacher.

\newline

The one who is an architect sits third to right of the shopkeeper.

\newline

H sits between architect and engineer.

\newline

E is not an immediate neighbor of H

\newline

Engineer sits third to the right of clerk.

\newline

Only one person sits between the businessman and F.

Question: E is neither a business man nor a doctor. Who amongst the following is the clerk?

A

C

B

D

C

E

D

G

Question 66

+6-1.5

\newline

A, B, C, D, E, G, G, and H are sitting around a circular table facing the centre. Each one of them has a different profession viz. doctor, engineer, architect, teacher, clerk, shopkeeper, banker and businessman

\newline

A sit third to right of teacher.

\newline

D sits second to left of G.

\newline

G is not an immediate neighbor of teacher.

\newline

Only one person sits between B, the shopkeeper and the teacher.

\newline

The one who is an architect sits third to right of the shopkeeper.

\newline

H sits between architect and engineer.

\newline

E is not an immediate neighbor of H

\newline

Engineer sits third to the right of clerk.

\newline

Only one person sits between the businessman and F.

Question:Who sits immediately right to the businessman?

A

Teacher

B

Doctor

C

Clerk

D

Banker

Question 67

+6-1.5

\newline

A, B, C, D, E, G, G, and H are sitting around a circular table facing the centre. Each one of them has a different profession viz. doctor, engineer, architect, teacher, clerk, shopkeeper, banker and businessman

\newline

A sit third to right of teacher.

\newline

D sits second to left of G.

\newline

G is not an immediate neighbor of teacher.

\newline

Only one person sits between B, the shopkeeper and the teacher.

\newline

The one who is an architect sits third to right of the shopkeeper.

\newline

H sits between architect and engineer.

\newline

E is not an immediate neighbor of H

\newline

Engineer sits third to the right of clerk.

\newline

Only one person sits between the businessman and F.

Question: Who sit exactly between the architect and businessman?

A

C and H

B

Clerk

C

Banker and Shopkeeper

D

Doctor

Question 68

+6-1.5

\newline

A, B, C, D, E, G, G, and H are sitting around a circular table facing the centre. Each one of them has a different profession viz. doctor, engineer, architect, teacher, clerk, shopkeeper, banker and businessman

\newline

A sit third to right of teacher.

\newline

D sits second to left of G.

\newline

G is not an immediate neighbor of teacher.

\newline

Only one person sits between B, the shopkeeper and the teacher.

\newline

The one who is an architect sits third to right of the shopkeeper.

\newline

H sits between architect and engineer.

\newline

E is not an immediate neighbor of H

\newline

Engineer sits third to the right of clerk.

\newline

Only one person sits between the businessman and F.

Question: What is the profession of H?

A

Architect

B

Shopkeeper

C

Banker

D

Teacher

Question 69

+6-1.5

A cube is made up of 125 one cm. square cubes placed on a table. How many squares are visible only on three sides?

A

4

B

8

C

12

D

16

Question 70

+6-1.5

The number of squares in the following 4*6 grid is

A

36

B

44

C

51

D

54

Question 71

+6-1.5

A man's investment doubles in every 5 years. If he invested Rs. 5,000 in each of the years 1990, 1995, 2000 and 2005, then what was the total amount received by him in 2010?

A

Rs. 1,40,000

B

Rs. 30,000

C

Rs. 70,000

D

Rs. 1,50,000

Question 72

+6-1.5

A caterpillar crawls up a pole of 75 inches high, standing 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

At the end of 70 days

B

At the end of 71 days

C

At the end of 72 days

D

At the end of 73 days

Question 73

+6-1.5

Three thieves rob a bakery of bread, one after the other. Each thief takes half of what is present and half a bread. If 3 breads remain at the end, what is the number of breads that were present initially?

A

24

B

31

C

37

D

41

Question 74

+6-1.5

\newline

In an amusement park seven friend- Feroz, Gautam, Harish, Javed, Kumar, Laxman, and Mohan are deciding who will ride the roller coaster, there is time for only one ride before the park closes.

\newline

If Feroz rides Gautam must ride.

\newline

If Gautam and Harish both ride, Javed cannot ride.

\newline

If harish and Javed both ride, Laxman cannot ride.

\newline

If Javed rides, either Kumar or Mohan must ride.

\newline

Kumar and Laxman cannot both ride, But one of them must ride.

\newline

Kumar and Mohan cannot both ride.

Question: If Javed and Mohan both ride, Which of the folliwng is true

A

Gautam cannot

B

Harish must ride

C

Feroz cannot ride

D

Laxman must ride

Question 75

+6-1.5

\newline

In an amusement park seven friend- Feroz, Gautam, Harish, Javed, Kumar, Laxman, and Mohan are deciding who will ride the roller coaster, there is time for only one ride before the park closes.

\newline

If Feroz rides Gautam must ride.

\newline

If Gautam and Harish both ride, Javed cannot ride.

\newline

If harish and Javed both ride, Laxman cannot ride.

\newline

If Javed rides, either Kumar or Mohan must ride.

\newline

Kumar and Laxman cannot both ride, But one of them must ride.

\newline

Kumar and Mohan cannot both ride.

Question:Which of the following is an acceptable combination of rides if only three people ride?

A

Harish, Javed and Laxman

B

Harish, Javed and Kumar

C

Feroz, Gautam and Javed

D

Gautam, Kumar and Laxman

Question 76

+6-1.5

\newline

In an amusement park seven friend- Feroz, Gautam, Harish, Javed, Kumar, Laxman, and Mohan are deciding who will ride the roller coaster, there is time for only one ride before the park closes.

\newline

If Feroz rides Gautam must ride.

\newline

If Gautam and Harish both ride, Javed cannot ride.

\newline

If harish and Javed both ride, Laxman cannot ride.

\newline

If Javed rides, either Kumar or Mohan must ride.

\newline

Kumar and Laxman cannot both ride, But one of them must ride.

\newline

Kumar and Mohan cannot both ride.

Question:If Feroz and Harish both ride, what is the greatest number of people who can ride?

A

5

B

7

C

4

D

6

Question 77

+6-1.5

If the day after the day after tomorrow is three days before Friday, then today is

A

Tuesday

B

Thursday

C

Saturday

D

Monday

Question 78

+6-1.5

The missing number in the following series 336, 210, 120, 60, ----, 6 is

A

24

B

30

C

34

D

40

Question 79

+6-1.5

Four passengers in a train find that they from an interesting group, two of them are lawyers and the other two are doctors. Two of them speak Bengali and the other two speak Hindi and no two of the same profession speak the same language. They also found that two of them are Christians and two are Muslims and no two of the same religion speak the same language. The Hindi speaking doctor is a Christian. Then which of the following statement logically follows?

A

The Bengali speaking lawyer is a Muslim.

B

The Christian lawyer speaks Bengali.

C

The Bengali speaking doctor is Christian.

D

The Bengali speaking doctor is a Muslim.

Question 80

+6-1.5

Find the missing term of the following series:

\newline

DCXW, HGTS,

{\dots}

{\dots}

., POLK, TSHG

A

KLPO

B

LKOP

C

KLPO

D

LKPO

Question 81

+6-1.5

\newline

\textbf{ }

In a family of six persons A, B, C, D, E and F, there are two married couples.

\newline

D is the grandmother of A and mother of B

\newline

C is wife of B and mother of F

\newline

E is grandfather of F

Question: Which of the following is true?

A

A is brother of F

B

A is sister of F

C

B has two daughter

D

None of these

Question 82

+6-1.5

\newline

\textbf{ }

In a family of six persons A, B, C, D, E and F, there are two married couples.

\newline

D is the grandmother of A and mother of B

\newline

C is wife of B and mother of F

\newline

E is grandfather of F

Question:What is C to A?

A

Daughter

B

Mother

C

Father

D

cannot be determined

Question 83

+6-1.5

\newline

\textbf{ }

In a family of six persons A, B, C, D, E and F, there are two married couples.

\newline

D is the grandmother of A and mother of B

\newline

C is wife of B and mother of F

\newline

E is grandfather of F

Question:Who among the following is one of the couples?

A

CD

B

DE

C

EB

D

None of these

Question 84

+6-1.5

From a group of 7 men and 6 women, a committee of 5 persons with more males than females is to be formed. In how many ways can this be done.

A

564

B

645

C

735

D

756

Question 85

+6-1.5

What is the large number of positive integers to be picked up randomly so that the sum or difference of any two of the chosen numbers is divisible by 10?

A

2

B

5

C

7

D

10

Question 86

+6-1.5

Two persons S and M have made of following statements among themselves.

\newline

S says that I am certainly not over 40 years.

\newline

M says that I am 38 years and you are at least 5 years older than me

\newline

S says you are at least 39 years.

\newline

If all the above statements are wrong, what are the ages of M and S?

A

36 and 40

B

36 and 41

C

37 and 40

D

cannot determine

Question 87

+6-1.5

The following series is obtained by consider representation of decimal 99 different number systems the next two numbers in the sequence are

\newline

99, 90, 83, 78, ---, ----

A

71, 69

B

69, 57

C

67, 59

D

69, 63

+8-2

The representation of a floating point binary number +1001.11 is 8

-

bit fraction and 6 bit exponent format is

A

Fraction: 01001110 exponent: 000100

B

Fraction: 00001001 exponent: 000011

C

Fraction: 10010000 exponent: 110000

D

Fraction: 00100100 exponent: 011000

Question 94

+8-2

Which one of the following Boolean algebraic rute is correct

A

A.A'=1

B

A+AB=A+B

C

A+A'B=A+B

D

A(A+B)=B

Question 95

+8-2

The number of binary functions that can be defined using n Boolean variables

A

2

{}^{n}

-1

B

2

{}^{n}

C

2

{}^{n+1}

D

None of these

Question 96

+8-2

Which of the following is a functionally complete set of gates

\newline

I. NAND II. NOR

A

I but not II

B

II but not I

C

Neither I nor II

D

both I and II

Question 97

+8-2

The smallest integer that can be represented by an 8-bit number in 2's complement form is

A

-256

B

-128

C

-127

D

-255

Question 98

+8-2

Consider the equation (123)

{}_{5}

=(x8)

{}_{y}

with x and y as unknown . The number of possible solutions is

A

1

B

2

C

3

D

4

Question 99

+8-2

The first instruction of bootstrap loader program of an operating system is stored in

A

RAM

B

Hard disk

C

BIOS

D

none

Question 100

+8-2

\textbf{ }

Which of the following is the representation of decimal number (-147) in 2's complement notation of a 12

-

bit machine?

A

111101101100

B

110001001101

C

111101101101

D

000001101101

Question 101

+4-1

Which of the following is a correctly spelt word?

A

Hiderence

B

Hindrence

C

Hindrrence

D

Hindrance

Question 102

+4-1

Choose the suitable word from the following and fill in the blank:

\newline

The medal was awarded for the student's

\_\_\_\_

conduct and courage

A

Non receptive

B

Exemplary

C

Unreliable

D

Disputable

Question 103

+4-1

Choose a phrasal verb to replace the explanation in brackets:

\newline

When we arrive at the station, we

\newline

(descend from)

\_\_\_\_\_\_

the train

A

Get down

B

Stand down

C

Get off

D

Stand out

Question 104

+4-1

Which of the following refers to the idiom ``under the sum''?

A

Anything and everything

B

A large number of things

C

A few things

D

Something

Question 105

+4-1

Pick out the most effective word from the given words to fill in the blanks to make the sentence meaningful completely:

\newline

The man was about to move his bike into the compound of his apartment when a passer by

\_\_\_\_\_

down the motor cycle

A

Forced

B

fell

C

Turned

D

knocked

Question 106

+4-1

In the following sentence, choose the most suitable one word for expression:

\newline

``A Book containing summarized information on all branches of knowledge''

A

Dictionary

B

Anthology

C

Encyclopedia

D

Question 107

+4-1

Fill in the blank with appropriate phrase to make the sentence meaningfully complete.

\newline

\_\_\_\_\_\_\_\_\_

bad weather, the trip will be postponed to next week.

A

In case

B

In case of

C

in case to

D

In case from

Question 108

+4-1

Pick out the most effective word from the given words to fill in the blanks to make the sentence meaningfully complete:

\newline

Some people

\_\_\_\_\_\_\_\_\_\_

themselves into believing that they are indispensable to the organization they word for.

A

Keep

B

fool

C

Delude

D

Denigrate

Question 109

+4-1

Choose the correct alternative which can be substituted for the given word/sentence:

\newline

A person who travels to a sacred place as an act of religious devotion

A

Hermit

B

Pilgrim

C

Saint

D

Medicant

Question 110

+4-1

Choose the set of words for each blank that best fits the meaning of the following sentence as whole;

\_\_\_\_\_

green and black tea are obtained from the same plant, there are quite a few significant differences

\_\_\_\_\_\_\_\_\_

them.

A

Since, among

B

However, in

C

Through, between

D

Because, across

Question 111

+4-1

Choose the appropriate word from among the choice to fill in the blank in sentence:

A

Impair

B

impede

C

impose

D

impel

Question 112

+4-1

The phrase ``ready to believe'' means

A

Credulous

B

Creditable

C

Credible

D

Incredible

Question 113

+4-1

Choose the one which is nearest in meaning to word ``TURN UP''

A

Show up

B

come up

C

land up

D

crop up

Question 114

+4-1

Choose the set of words from among the alternatives given, which when inserted in the sentence best suit the meaning of the sentence.

\newline

The

\_\_\_\_\_\_\_\_\_

of evidence was on the side of plaintif since all but one witness testify his story was

\_\_\_\_\_\_\_\_\_\_\_l

A

paucity, accurate

B

prosperity, far-fetched

C

Prepondenerance, correct

D

accuracy, insufficient

Question 115

+4-1

Which of the following statement in grammatically correct?

A

The earth revolves round the Sun

B

I have not seen him since four years

C

She met an one-eyed man

D

One of the books borrowed by the students are famous

Question 116

+4-1

According to the passage, a person whoc is right-handed is more likely to draw people and animals that are facing

A

Upwards

B

downward

C

Towards to right

D

towards the left

Question 117

+4-1

What is the indirect evidence through which the preferred handedness of the stone Age people could be understood?

A

Pertified forms of vegetation

B

Patterns of stone chipping

C

Fossilized waste material

D

The pattern of chipping ancient tools

Question 118

+4-1

What is the main idea conveyed through the passage?

A

The purpose of ancient implements

B

The significance of prehistoric cave paintings

C

The history of right-handedness and left-handedness

D

The pattern of chipping ancient tools

Question 119

+4-1

Which of the following development occurred around the time of Bronze Age?

A

The establishment of written records

B

A change in the styles of cave painting A

C

Increase in the human skill in the handling of tools

D

The prevalence of right handedness

Question 120

+4-1

Anthropologists have placed together the little they know what about the history of left handedness and right-handedness from indirect evidence. Though early men and women did not leave written records, they did leave tools, bones and pictures. Stone Age hand axes and hatchets made from stone that were carefully chipped away to from sharp cutting edges. In some, the pattern of chipping shows that these tools and weapons were made by right handed people, designed to fit comfortably into a right hand. Other Stone Age implements were made by or for left hander. Prehistoric picture, pained on walls of caves, provide further clues to the handedness of ancient people. A right-hander finds it easier to draw faces of people and animals facing towards the left, where as a left hander finds it easier to draw faces facing towards the right. Bothe kinds of faces have been found in ancient paintings. On the whole, the evidence seems to indicate that prehistoric people were either ambidextrous or about equally likely to be left or right handed. But in the bronze age, the picture changed. The tools and weapons found from that period are mostly made for right handed use. The predominance of right-handedness among humans today and apparently already been established.

Question:What does the word ``picture'' mentioned with reference to Bronze Age man?

A

Faces of animals and people

B

People's view from inside a crave

C

People tendency to work with either hand

D

The kinds of paint used on cave walls

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