Nimcet-2016

Question 1

+12-3

The foci the ellipse

\frac{x^{2} }{16} +\frac{y^{2} }{b^{2} } =1

and the hyperbola

\frac{x^{2} }{144} -\frac{y^{2} }{81} =\frac{1}{25}

coincide. Then the value of b

{}^{2}

is:

A

5

B

7

C

9

D

1

Question 2

+12-3

The permutations of (a,b,c,d,e,f,g) are listed in lexicographic order. Which of the following permutations are just before and just after the permutation bacdefg?

A

agfedbc and bacdfge

B

agfedcb and badcefg

C

agfedbcd and bacedgf

D

agfedcb and bacdegf

Question 3

+12-3

The value of cos20

{}^{0}

+cos100

{}^{0}

+cos140

{}^{0}

is:

A

0

B

\frac{1}{\sqrt{2} }

C

\frac{1}{2}

D

1

Question 4

+12-3

If a

{}_{1}

, a

{}_{2}

,

{\dots}

{\dots}

,a

{}_{n}

are in A.P. and a

{}_{1}

=0 then the value

\left(\frac{a_{3} }{a_{2} } +\frac{a_{4} }{a_{3} } +....+\frac{a_{n} }{a_{n-1} } \right)-a_{2} \left(\frac{1}{a_{2} } +\frac{1}{a_{1} } +...\frac{1}{a_{n-2} } \right)

is equal to:

A

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

B

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

C

(n-2)

D

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

Question 5

+12-3

Two common tangents to the circle x

{}^{2}

+y

{}^{2}

=2a

{}^{2}

and parabola y

{}^{2}

=8ax are

A

x=\pm (y+2a)

B

y=\pm (x+2a)

C

x=\pm (y+a)

D

y=\pm (x+a)

Question 6

+12-3

Area of the greatest rectangle that can be inscribed in the ellipse is:

A

\sqrt{ab}

B

2ab

C

ab

D

a/b

Question 7

+12-3

Let x

{}_{1}

, x

{}_{2}

,

{\dots}

{\dots}

.x

{}_{n}

be n observation such that

\sum x_{1} {}^{2} =400

and

\sum x_{1} =80

. Then a possible value of `n' among the following is:

A

10

B

15

C

20

D

8

Question 8

+12-3

If

\overrightarrow{a},\overrightarrow{b}

are vectors such that

\left|\overrightarrow{a}+\overrightarrow{b}\right|=\sqrt{29}

and

\overrightarrow{a}\times (2\widehat{i}+3\widehat{j}+4\widehat{k})=(2\widehat{i}+3\widehat{j}+4\widehat{k})\times \overrightarrow{b}

then a possible value of

(\overrightarrow{a}+\overrightarrow{b}).(-7\widehat{i}+2\widehat{j}+3\widehat{k})

is:

A

0

B

2

C

4

D

8

Question 9

+12-3

Suppose a population A has 100 observations 101, 102,

{\dots}

{\dots}

, 200 and another population B has 100 observations 151, 152,

{\dots}

{\dots}

, 250. If V

{}_{A}

and V

{}_{B}

represents variance of the two population respectively, then

\frac{V_{A} }{V_{B} }

is:

A

9/4

B

4/9

C

1

D

2/3

Question 10

+12-3

There are 4 books on fairly tales, 5 novels and 3 plays. In how many ways can they be arranged in the order, books on fairly tales, novels and then plays so that the books of the same category are put together?

A

17280

B

103680

C

51840

D

360

Question 11

+12-3

The number of points in

\left(-\infty ,\infty \right)

, for which x

{}^{2}

-x sin x-cos x=0 is:

A

6

B

4

C

2

D

0

Question 12

+12-3

The vertex of the parabola whose focus is (-1, 1) and directrix is 4x+3y-24=0 is

A

\left(0,\frac{3}{2} \right)

B

\left(0,\frac{5}{2} \right)

C

\left(1,\frac{3}{2} \right)

D

\left(1,\frac{5}{2} \right)

Question 13

+12-3

Let f(x)=x

{}^{2}

-bx+c, b is an odd positive integer. If f(x)=0 has two prime number as roots and b+c=35, then the global minimum value of f(x) is:

A

\frac{-183}{4}

B

\frac{173}{16}

C

\frac{-81}{4}

D

\frac{17}{2}

Question 14

+12-3

The system of equations

\newline

x+y+2z=a

\newline

x+z=b

\newline

2x+y+3z=c has a solution if,

A

b=c

B

c=a+b

C

c=a+2b

D

a=b=c

Question 15

+12-3

If the sum of the slopes of the lines given by x

{}^{2}

-2cxy-7y

{}^{2}

=0 is four times their product, then the value of `c' is:

A

1

B

-1

C

-2

D

2

Question 16

+12-3

Sum of the roots of the equations:

\newline

4

{}^{x}

-3(2

{}^{x+3}

)+128=0 is:

A

5

B

6

C

7

D

8

Question 17

+12-3

Let S=

\mathrm{\{}

1, 2,

{\dots}

{\dots}

n

\mathrm{\}}

. The number of possible pairs of form (A,B) with

A\subseteq B

for subsets A, B of S is:

A

2

{}^{n}

B

3

{}^{n}

C

n!

D

\sum _{k=a}^{n}\left(\begin{array}{l} {n} \\ {k} \end{array}\right) \left(\begin{array}{l} {n} \\ {n-k} \end{array}\right)

Question 18

+12-3

There are n equally spaced points 1, 2,

{\dots}

{\dots}

, n marked on the circumference of a circle. If the point 15 is directly opposite of the point 49, then the total number of points is:

A

50

B

68

C

66

D

70

Question 19

+12-3

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied form the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is the 30

{}^{0}

.

A

10 m

B

20 m

C

30 m

D

40 m

Question 20

+12-3

The matrix A has x rows and (x+5) columns and the matrix D has y rows and (11-y) columns. If both the matrices AB and BA exist, then the value of x and y are:

A

8, 3

B

3, 5

C

3, 8

D

8, 5

Question 21

+12-3

If 3

{}^{x}

=4

{}^{x-1}

, then x=

A

\frac{2-\log _{3} 2}{2\log _{3} 2-1}

B

\frac{2}{2\log _{3} 2-1}

C

\frac{2-\log _{3} 2}{2\log _{3} 2+1}

D

\frac{2\log _{3} 2}{2\log _{3} 2-1}

Question 22

+12-3

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is:

A

3/5

B

1/5

C

2/5

D

4/5

Question 23

+12-3

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is:

A

8/9

B

7/9

C

2/9

D

1/9

Question 24

+12-3

Consider the function `f' defined by

f(x)=\left\{\begin{array}{l} {x^{2} -1,x<3} \\ {2ax,x\ge 3} \end{array}\right.

for all real numbers x. if f is continuous at x=3, then value a is:

A

8

B

¾

C

1/8

D

4/3

Question 25

+12-3

The sum of the expression

\frac{1}{\sqrt{1} +\sqrt{2} } +\frac{1}{\sqrt{2} +\sqrt{3} } +\frac{1}{\sqrt{3} +\sqrt{4} } +...+\frac{1}{\sqrt{80} +\sqrt{81} }

A

7

B

8

C

9

D

10

Question 26

+12-3

The probability that A speaks truth is 4/5 while this probability of B is 3/4. The probability that they contradict each when asked to speak on a fact is:

A

3/20

B

1/5

C

7/20

D

4/5

Question 27

+12-3

Two finite sets A and B are having m and n elements. The total numbers subsets of the first set is 56 more than the total number of subsets of the second set. The value of m and n are:

A

7,6

B

6,3

C

5,3

D

8,7

Question 28

+12-3

For any two events A and B, the probability that at least one of them occur is 0.6. If A and B occurs simultaneously with a probability 0.3 then P(A')+P(B') is:

A

0.9

B

1.15

C

1.1

D

1.0

Question 29

+12-3

The value of a, for which the sum of the squares of the roots of the equation x

{}^{2}

-(a-2)x-(a+1)=0, assume that least value is:

A

3

B

2

C

0

D

1

Question 30

+12-3

Let

\overrightarrow{a},\overrightarrow{b}

and

\overrightarrow{c}

tree non-zero vectors, no two of which are collinear. If the vector

\overrightarrow{a}+2\overrightarrow{b}

is collinear with

\overrightarrow{c}

and

\overrightarrow{b}+3\overrightarrow{c}

is collinear with

\overrightarrow{a}

then

\overrightarrow{a}+2\overrightarrow{b}+6\overrightarrow{c}

is equal to.

A

\lambda \overrightarrow{a}

B

\lambda \overrightarrow{b}

C

\lambda \overrightarrow{c}

D

\overrightarrow{0}

Question 31

+12-3

An expression has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent is:

A

2, 4 or 8

B

3, 6 or 9

C

4 or 8

D

5 or 10

Question 32

+12-3

If

\cos \theta =\frac{5}{13} ,\frac{3\pi }{2} <\theta <2\pi

, then

\tan 2\theta

is:

A

\frac{-120}{119}

B

\frac{-120}{169}

C

\frac{119}{169}

D

\frac{120}{119}

Question 33

+12-3

In a triangle ABC, a=4, b=3,

\triangle BAC=60^{\circ }

, then the equation for which c is the root is:

A

c

{}^{2}

+3c+7=0

B

c

{}^{2}

+3c-7=0

C

c

{}^{2}

-3c+7=0

D

c

{}^{2}

-3c-7=0

Question 34

+12-3

The area of the region bounded by the lines

y=\left|x-y\right|

and

y=3-\left|x\right|

is:

A

3 sq units

B

4 sq. units

C

6 sq. units

D

2 sq. units

Question 35

+12-3

If

2x^{2} +7xy+3y^{2} +8x+14y+\lambda =0

represents a pair of straight lines, the value of

\lambda

is:

A

2

B

4

C

6

D

8

Question 36

+12-3

Which of the following statements is False?

A

2\in A\bigcup B

implies that if

2\notin A

then

2\in B

B

[2,3]\subseteq A

implies that

2\subseteq A

and

3\subseteq A

C

A\bigcup B\supseteq [2,3]

implies that

[2,3]\subseteq A\& [2,3]\subseteq B

D

[2]\in A

and

[3]\in A

implies that

\{ 2,3\} \subseteq A

Question 37

+12-3

If

\overrightarrow{a},\overrightarrow{b}

and

\overrightarrow{a}+\overrightarrow{b}

are vectors of magnitude

\alpha

then the magnitude of vector a-b is:

A

\sqrt{2} \alpha

B

\sqrt{3} \alpha

C

\sqrt{32} \alpha

D

3\alpha

Question 38

+12-3

\int \frac{x^{2} -1}{x^{3} \sqrt{2x^{4} -2x^{2} +1} } dx

is equal to:

A

\frac{\sqrt{2x^{4} -2x^{2} +1} }{x^{2} } +C

B

\frac{\sqrt{2x^{4} -2x^{2} +1} }{x^{3} } +C

C

\frac{\sqrt{2x^{4} -2x^{2} +1} }{x} +C

D

\frac{\sqrt{2x^{4} -2x^{2} +1} }{2x^{2} } +C

Question 39

+12-3

The equation of a circle with diameters are 2x-3y+12=0 and x+4y-5=0 and area of 154 sq. units is:

A

x

{}^{2}

+y

{}^{2}

-6x+4y-36=0

B

x

{}^{2}

+y

{}^{2}

+6x-4y-36=0

C

x

{}^{2}

+y

{}^{2}

-6x-4y+36=0

D

None of these

Question 40

+12-3

The vector perpendicular to the plane passing through (1, -1, 0), (-2, 1, -1) and (-1, 1, 2) is:

A

6i+6k

B

6i+7k

C

7i+6k

D

7i+8k

Question 41

+12-3

The volume of the parallelepiped determined by u=i+2j-k, v=-2i+3k and w=7j-4k is

A

21

B

22

C

23

D

24

Question 42

+12-3

\int \left\{\frac{\log x-1}{1+(\log x)^{2} } \right\} ^{2}

dx is equal to:

A

\frac{xe^{x} }{1+x^{2} } +C

B

\frac{x}{(\log x)^{2} +1} +C

C

\frac{\log x}{(\log x){}^{2} +1} +C

D

\frac{x}{x^{2} +1} +C

Question 43

+12-3

If

X=\left\{x^{2} -3n-1,n\in N\right\}

and

Y=\left\{9n-9,n\in N\right\}

, then

X\bigcup Y

is equal to:

A

Y

B

X

C

N

D

None of these

Question 44

+12-3

The line 3x+5y=k touches the ellipse 16x

{}^{2}

+25y

{}^{2}

=400 if `k' is:

A

\pm \sqrt{5}

B

\pm \sqrt{15}

C

\pm 25

D

\pm \sqrt{35}

Question 45

+12-3

A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If four caps are picked at random, the probability that none of them is green is:

A

7/99

B

7/12

C

5/99

D

5/12

Question 46

+12-3

The average marks of boys in class is 52 and that of girls to 42. The average marks of boys and girls combined is 50, then percentage of boys in class is:

A

80%

B

60%

C

40%

D

20%

Question 47

+12-3

If C is the midpoint of AB and P is any point outside AB then:

A

\overline{PA}+\overline{PB}=2\overline{PC}

B

\overline{PA}+\overline{PB}=\overline{PC}

C

\overline{PA}+\overline{PB}+2\overline{PC}=0

D

\overline{PA}+\overline{PB}+\overline{PC}=0

Question 48

+12-3

If a twelve sides regular polygon is inscribed in a circle of radius 3 centimeters, then the length of each side of the polygon is:

A

3

B

18-9\sqrt{3}

C

18+9\sqrt{3}

D

9(1-\sqrt{3} )

Question 49

+12-3

The solution set of equation

\log _{x} 2\log _{2x} 2=\log _{4x} 2

is

A

\left\{2^{-\sqrt{2} } ,2^{\sqrt{2} } \right\}

B

\left\{1/2,2\right\}

C

\left\{\frac{1}{4} ,2^{2} \right\}

D

\left\{1/4,2\right\}

Question 50

+12-3

The number of 5 people groups that can be selected from 9 people when two particular persons are not to be in the same group is:

A

126

B

35

C

91

D

252

Question 51

+6-1.5

A group of 630 children are seated in n rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of tows is not possible?

A

3

B

4

C

5

D

6

Question 52

+6-1.5

\newline

\textbf{ }

A group of six friends are sitting around a hexagonal table, each one at one corner of the hexagon.

\newline

Ram is sitting opposite to Rames.

\newline

Jyoti is sitting next to Seema.

\newline

Neeta is sitting opposite to Seema but not next to Ram.

\newline

Amrit has a person sitting between Ramesh and himself.

Question: Who is sitting opposite to Jyoti?

A

Ramesh

B

Neeta

C

Amrit

D

Seema

Question 53

+6-1.5

\newline

\textbf{ }

A group of six friends are sitting around a hexagonal table, each one at one corner of the hexagon.

\newline

Ram is sitting opposite to Rames.

\newline

Jyoti is sitting next to Seema.

\newline

Neeta is sitting opposite to Seema but not next to Ram.

\newline

Amrit has a person sitting between Ramesh and himself.

Question: Who is sitting between Amrit and Ramesh?

A

Neeta

B

Jyoti

C

Seema

D

Ram

Question 54

+6-1.5

\newline

\textbf{ }

A group of six friends are sitting around a hexagonal table, each one at one corner of the hexagon.

\newline

Ram is sitting opposite to Rames.

\newline

Jyoti is sitting next to Seema.

\newline

Neeta is sitting opposite to Seema but not next to Ram.

\newline

Amrit has a person sitting between Ramesh and himself.

Question:If Neeta sists to the right of Amrit, then who is sitting to the left of Amrit.

A

Ramesh

B

Neeta

C

Jyoti

D

Ram

Question 55

+6-1.5

\newline

\textbf{ }

A group of six friends are sitting around a hexagonal table, each one at one corner of the hexagon.

\newline

Ram is sitting opposite to Rames.

\newline

Jyoti is sitting next to Seema.

\newline

Neeta is sitting opposite to Seema but not next to Ram.

\newline

Amrit has a person sitting between Ramesh and himself.

Question: If Seema and Jyoti mutually interchange their position, then who will be sitting opposite to Neeta?

A

Jyoti

B

Ram

C

Seema

D

Ramesh

Question 56

+6-1.5

\newline

\textbf{ }

Eleven students, A, B, C, D, E, F, G, H, I, J and K are sitting in the first row of the class facing the teacher.

\newline

D who is to the immediate left of F is second to the right of C.

\newline

A is second to the right of E, who is at one of the ends.

\newline

J is the immediate neighbor of A and B and third to the left of G.

\newline

H is to the immediate left of D and third to the right of I.

Question: Which of the following groups of friends is sitting to the right of G?

A

CHDE

B

CHDF

C

IBJA

D

None of these

Question 57

+6-1.5

\newline

\textbf{ }

Eleven students, A, B, C, D, E, F, G, H, I, J and K are sitting in the first row of the class facing the teacher.

\newline

D who is to the immediate left of F is second to the right of C.

\newline

A is second to the right of E, who is at one of the ends.

\newline

J is the immediate neighbor of A and B and third to the left of G.

\newline

H is to the immediate left of D and third to the right of I.

Question: If E and D, C and B, A and H and K and F interchange their position, which of the following pairs of students area sitting at the ends?

A

D and E

B

E and F

C

D and K

D

K and F

Question 58

+6-1.5

\newline

\textbf{ }

Eleven students, A, B, C, D, E, F, G, H, I, J and K are sitting in the first row of the class facing the teacher.

\newline

D who is to the immediate left of F is second to the right of C.

\newline

A is second to the right of E, who is at one of the ends.

\newline

J is the immediate neighbor of A and B and third to the left of G.

\newline

H is to the immediate left of D and third to the right of I.

Question: Who is sitting in the middle of the row?

A

B

C

G

D

I

Question 59

+6-1.5

\newline

A, B, C, D, E and F are six members in a family in which there are two married couples.

\newline

D is brother of F.

\newline

Both D and F are lighter than B.

\newline

B is mother of D and lighter than E.

\newline

C a lady, is neither heaviest nor lightest in the family.

\newline

E is lighter than C.

\newline

The grandfather in the family is the heaviest.

Question: How is C related to D?

A

Grandmother

B

Cousin

C

Sister

D

Mother

Question 60

+6-1.5

\newline

A, B, C, D, E and F are six members in a family in which there are two married couples.

\newline

D is brother of F.

\newline

Both D and F are lighter than B.

\newline

B is mother of D and lighter than E.

\newline

C a lady, is neither heaviest nor lightest in the family.

\newline

E is lighter than C.

\newline

The grandfather in the family is the heaviest.

Question: Who among the following will be in the second place if all the members in the family are arranged in a descending order of their weights?

A

C

B

A

C

D

Data inadequate

Question 61

+6-1.5

\newline

A, B, C, D, E and F are six members in a family in which there are two married couples.

\newline

D is brother of F.

\newline

Both D and F are lighter than B.

\newline

B is mother of D and lighter than E.

\newline

C a lady, is neither heaviest nor lightest in the family.

\newline

E is lighter than C.

\newline

The grandfather in the family is the heaviest.

Question:Which of the following is a pair of married couples:

A

AB

B

BC

C

AD

D

BE

Question 62

+6-1.5

What is missing number is the series, 4, 7, 11, 18,29, 47,

{\dots}

.., 123, 199?

A

76

B

77

C

86

D

87

Question 63

+6-1.5

How many pairs of letters are there in the word NECESSARY which have as many letters between them in the word as there are between them in the alphabet and in the same order.

A

1

B

2

C

3

D

4

Question 64

+6-1.5

\newline

\textbf{ }

There are six hours P, Q, R, S, T and U, three on eight side of a road.

\textbf{}

\newline

\textbf{ }

The houses are of different colours-red, blue, green, orange, yellow and white.

\textbf{}

\newline

\textbf{ }

All the houses are of different heights.

\textbf{}

\newline

\textbf{ }

T, the tallest house is exactly opposite to the red coloured house.

\textbf{}

\newline

\textbf{ }

The shortest house is exactly opposite to the green coloured house.

\textbf{}

\newline

\textbf{ }

U, the orange coloured house is located between P and S.

\textbf{}

\newline

\textbf{ }

R the yellow coloured house is exactly opposite to P.

\textbf{}

\newline

\textbf{ }

Q, the green coloured house is exactly opposite to U.

\textbf{}

\newline

\textbf{ }

P, the white coloured house is taller than R, but shorter than S and Q.

\textbf{}

Question:Which is the colour of the tallest house?

A

Red

B

Blue

C

Green

D

Yellow

Question 65

+6-1.5

\newline

\textbf{ }

There are six hours P, Q, R, S, T and U, three on eight side of a road.

\textbf{}

\newline

\textbf{ }

The houses are of different colours-red, blue, green, orange, yellow and white.

\textbf{}

\newline

\textbf{ }

All the houses are of different heights.

\textbf{}

\newline

\textbf{ }

T, the tallest house is exactly opposite to the red coloured house.

\textbf{}

\newline

\textbf{ }

The shortest house is exactly opposite to the green coloured house.

\textbf{}

\newline

\textbf{ }

U, the orange coloured house is located between P and S.

\textbf{}

\newline

\textbf{ }

R the yellow coloured house is exactly opposite to P.

\textbf{}

\newline

\textbf{ }

Q, the green coloured house is exactly opposite to U.

\textbf{}

\newline

\textbf{ }

P, the white coloured house is taller than R, but shorter than S and Q.

\textbf{}

Question: Which of the second shortest houses?

A

P

B

R

C

S

D

None of these

Question 66

+6-1.5

\newline

\textbf{ }

There are six hours P, Q, R, S, T and U, three on eight side of a road.

\textbf{}

\newline

\textbf{ }

The houses are of different colours-red, blue, green, orange, yellow and white.

\textbf{}

\newline

\textbf{ }

All the houses are of different heights.

\textbf{}

\newline

\textbf{ }

T, the tallest house is exactly opposite to the red coloured house.

\textbf{}

\newline

\textbf{ }

The shortest house is exactly opposite to the green coloured house.

\textbf{}

\newline

\textbf{ }

U, the orange coloured house is located between P and S.

\textbf{}

\newline

\textbf{ }

R the yellow coloured house is exactly opposite to P.

\textbf{}

\newline

\textbf{ }

Q, the green coloured house is exactly opposite to U.

\textbf{}

\newline

\textbf{ }

P, the white coloured house is taller than R, but shorter than S and Q.

\textbf{}

Question:Which is the second largest house?

A

Q

B

R

C

S

D

cannot be determined

Question 67

+6-1.5

The day after the day after tomorrow is four days after Monday. What day is it today?

A

Monday

B

Tuesday

C

Wednesday

D

Thursday

Question 68

+6-1.5

A block is set right at 5 am. The clock losses 16 minutes in 24 hours. What will be the correct time when the clock indicates 10 p.m. on the day 3

{}^{rd}

day?

A

11 pm

B

10:45 pm

C

11:15 pm

D

12 pm

Question 69

+6-1.5

A, B, C, D, E, F and G area member of a family consisting of four adults, three children, three males and four female. Out of the children F and G area girls. A and D are brothers and A is doctor, E is and engineer married to one of the brothers and has two children, B is married to D and G is their child. Who is C?

A

E,s daughter

B

A,s son

C

G,s brother

D

F's father

Question 70

+6-1.5

P, Q, R and S are four logical statements such that if P is true, then Q is true, then R is true, and if S is true, then at least one of Q and R is false. The it follows that

A

if S is false, then both Q and R true

B

if at least one of Q and R is true, then S is false.

C

if P is true, then S is false.

D

if Q is true, then S is true.

Question 71

+6-1.5

Raman was born on March 5, 1970 Lakshman was born 25 days before Raman. The year when they too birth, the Republic Day fell on Monday. What is the day of birth of Lakshman.

A

Sunday

B

Monday

C

Wednesday

D

Saturday

Question 72

+6-1.5

Kha-kha is an obscure island which is inhabited by two types of people, the `Yes'' type and `No' type. Native of type `Yes' ask only questions the right answer to which is `Yes' while those of type `No' ask only questions the right answer to which is `No'. for example the `Yes' type will ask questions like `' is 2 plus 2 equal to 4'? While the `No' type will ask question like is 2 plus 2 equal to 5? The following question is based on your visit to the island Kha-Kha.

\newline

Kevin and Kumar and brothers from the island. Kumar asks you. Is at least one of us is of type `No'? You can conclude that:

A

Kevin `No' kumar is `Yes'

B

Both are `Yes'

C

Kevin is `Yes' Kumar is `No'

D

Both are `No'

Question 73

+6-1.5

A bus starts from its depot filled to seating capacity, it stops at a point A where 1/6

{}^{th}

of the passengers alight and 10 board the bus. At point B, 1/5

{}^{th}

of the passengers alight and 3 boards the bus. At point C which is the last stop, all the 55 passengers alight. The capacity of the bus is:

A

96

B

99

C

66

D

90

Question 74

+6-1.5

Unseramble the letter n the following words and find the odd one.

A

ONGEAR

B

NOONI

C

ALPEP

D

AUVAG

Question 75

+6-1.5

The number of common terms in the two sequence 17, 21, 25,

{\dots}

.. 817 and 16, 21, 26,

{\dots}

.. 851 is:

A

28

B

39

C

40

D

87

Question 76

+6-1.5

405 sweets were distributed equally among a group of children such that the number of sweet received by each child is one fifth of the number of children. The number of children in the group is:

A

45

B

9

C

21

D

15

Question 77

+6-1.5

If all the 6's are replaced by 9's, then the algebraic sum of all the numbers from 1 to 100 (both inclusive), varies by:

A

333

B

300

C

279

D

330

Question 78

+6-1.5

Fact 1: Most stuffed toys are stuffed with beans.

\newline

Fact 2: There are stuffed bears and stuffed tigers.

\newline

Fact 3: some chairs are stuffed with beans.

\newline

If the above statement are fact, which of the following statements, must also be fact?

\newline

1. Only children's chairs are stuffed with beans.

\newline

2. All stuffed tigers are stuffed with beans.

\newline

3. Stuffed monkeys are not stuffed with beans.

A

1 is fact

B

only 2 is fact

C

Both and 3 are fats

D

None of the statements 1, 2, 3 are true.

Question 79

+6-1.5

If the English word EXAMINATION is coded as 56149512965, then word GOVERNMET can be coded as:

A

7655355552

B

7644954452

C

7645954552

D

7644956552

Question 80

+6-1.5

In a certain code language 134 means `good and tasty' 478 means `see good picture' and 729 means `picture are faint' which of the following numerical numbers stands for see?

A

2

B

7

C

8

D

1

Question 81

+6-1.5

A family has several children. Each boy in this family has as many sisters as brothers but each girls has twice as many brothers as sister. How many brothers and sister are there?

A

1 and 2

B

3 and 4

C

6 and 3

D

4 and 3

Question 82

+6-1.5

\newline

A Team must be selected from the ten probable players A, B, C, D, E, F, G, H, I and J. Of these A, C, E and J are forwards B, G and H are point guards and D, E and I are defenders.

\newline

The team must have at least one forward one point guard and one defender.

\newline

If the team includes J, it must also include F.

\newline

The team must include E or B, but not both.

\newline

If the team includes G, it must also include F.

\newline

The team must include exactly one among C, G and I.

\newline

C and F cannot be members of the same team.

\newline

D and H cannot be members of the same team.

\newline

The team must include both A and D or neither of them.

\newline

There is no restriction on the number of members in the team.

Question: What could be the maximum size of the team that includes G?

A

4

B

5

C

6

D

more than 6

Question 83

+6-1.5

\newline

A Team must be selected from the ten probable players A, B, C, D, E, F, G, H, I and J. Of these A, C, E and J are forwards B, G and H are point guards and D, E and I are defenders.

\newline

The team must have at least one forward one point guard and one defender.

\newline

If the team includes J, it must also include F.

\newline

The team must include E or B, but not both.

\newline

If the team includes G, it must also include F.

\newline

The team must include exactly one among C, G and I.

\newline

C and F cannot be members of the same team.

\newline

D and H cannot be members of the same team.

\newline

The team must include both A and D or neither of them.

\newline

There is no restriction on the number of members in the team.

Question: Which of the following cannot be includes in a team of size 6?

A

B

H

C

J

D

E

Question 84

+6-1.5

\newline

A Team must be selected from the ten probable players A, B, C, D, E, F, G, H, I and J. Of these A, C, E and J are forwards B, G and H are point guards and D, E and I are defenders.

\newline

The team must have at least one forward one point guard and one defender.

\newline

If the team includes J, it must also include F.

\newline

The team must include E or B, but not both.

\newline

If the team includes G, it must also include F.

\newline

The team must include exactly one among C, G and I.

\newline

C and F cannot be members of the same team.

\newline

D and H cannot be members of the same team.

\newline

The team must include both A and D or neither of them.

\newline

There is no restriction on the number of members in the team.

Question:What would be the sixe of the largest possible team?

A

7

B

6

C

5

D

4

Question 85

+6-1.5

Three of the following four are alike in certain way based on the given arrangement and thus from a group. Which of the following does not belong to the group?

A

PL

B

MQ

C

LN

D

OM

Question 86

+6-1.5

Who amongst the following lives on the floor number eight?

A

P

B

O

C

K

D

Cannot be determine

Question 87

+6-1.5

Which of the following is true about M?

A

K lives immediately above M.

B

Only two people live between M and Q.

C

M lives on an odd numbered floor.

D

M lives on the lower most floor.

Question 88

+6-1.5

Eight friends J, K, L, M, N, O, P and Q live on eight different floors of a building but not necessarily in same order. The lower most floor of the building is numbered one, the above, that numbered two and so on until the top most floor is numbered eight.

\newline

J lives on floor numbered six.

\newline

Only one person lives between and L

\newline

Only one person lives between O and P.

\newline

O lives above P.

\newline

K lives on an even numbered floor but not on the floor numbered two

\newline

Q does not live on the lower most floor.

\newline

N lives on one of the floor above Q.

Question:If P and L interchange their places, who will live between P and M?

A

O

B

L

C

J

D

None of these

Question 89

+6-1.5

How many total oranges were in the basket at the end of the above sequence?

A

1

B

4

C

3

D

2

Question 90

+6-1.5

\textbf{ Question 1 and are based on the following:}

\newline

A boy is asked to put in a basket one mango when

\newline

ordered `Three' and is asked to take out from the

\newline

basket one mango and an orange when ordered

\newline

`Four'. A sequence of order is given as

\newline

12332142314223314113234

Question: How many total fruits will be in the basket at the end of the above order sequence?

A

9

B

8

C

11

D

10

Question 91

+4-1

Choose the answer which best express the meaning of the idiom/phrase `Elbow room';

A

Opportunity for freedom of action.

B

Special room for the guest.

C

To given enough space to move or work in.

D

To add new room to the house.

Question 92

+4-1

The meaning of the word EGRESS is:

A

Entrance

B

Exit

C

Double

D

Program

Question 93

+4-1

Change the following sentence into passive sentence.

\newline

They studied Mathematics last year.

A

Mathematics was studied by them last year.

B

Mathematics were studied by them last year.

C

Mathematics has been studied by them last year.

D

Mathematics studied them last year.

Question 94

+4-1

Fill in the blank with appropriate question tag. You should not be here on a holiday.

A

should not you

B

should you not

C

would not you

D

should you

Question 95

+4-1

Fill in the blank with appropriate verb. Where is he? He should

{\dots}

{\dots}

Home hours ago

A

be

B

have been

C

had been

D

were

Question 96

+4-1

Fill in the blank with a suitable preposition. We have been looking for a new flat

{\dots}

. Ages

A

since

B

for

C

during

D

in

Question 97

+4-1

Fill in the blank with appropriate adjective. The steak is completely

{\dots}

{\dots}

, it is cold and tough.

A

Edible

B

erratic

C

unswerving

D

thedible

Question 98

+4-1

Fill in the blank with suitable article

{\dots}

..darkest cloud has a silver lining:

A

An

B

A

C

The

D

From

Question 99

+4-1

Choose the correct alternative to fill the blank:

A

Upon

B

out on

C

In

D

at

Question 100

+4-1

Choose the answer which best express the meaning of the idiom/ phrase `to bum a hole in the pocket'.

A

Steal from someone's pocket

B

To destroy other's belongings.

C

To be very miserly.

D

Money that is spent quickly.

Question 101

+4-1

Select the pair that best expression a relationship similar to the expressed in SCALE:TONE

A

Physician : Medicine

B

Wave: Amplitude

C

Spectrum: Colour

D

Rainbow: Shower

Question 102

+4-1

Identify the word which is different from the rest of the word:

A

indisputable

B

uncertain

C

dubious

D

doubtful

Question 103

+4-1

Which of the following word means `Theatrical'?

A

thrilling

B

histrionic

C

delicate

D

delicious

Question 104

+4-1

Which of the following has closest meaning to the word REPUTATION?

A

Character

B

Respect

C

Fame

D

Honor

Question 105

+4-1

Which of the following is correct phrase to describe a group of insects?

A

A flock of insects

B

swarm of insects

C

A school of insects

D

+8-2

Subtract (1010)

{}_{2}

from (1101)

{}_{2}

using first complement:

A

(1100)

{}_{2}

B

(0101)

{}_{2}

C

(1001)

{}_{2}

D

(0011)

{}_{2}

Question 112

+8-2

Consider the equation (43)

{}_{x}

=(y3)

{}_{8}

where x and y are unknown. The number of possible solution is:

A

4

B

6

C

5

D

7

Question 113

+8-2

Find the odd man out:

A

HTTP

B

FCFS

C

HTML

D

TCP/IIP

Question 114

+8-2

The number of terms in the product sums canonical for of

\left|(x_{1} +x_{2} )(x_{3} x_{4} )\right|

is:

A

7

B

8

C

9

D

10

Question 115

+8-2

The 2's complement representation of the number (-100)

{}_{10}

in an 8 bit computer is:

A

10011011

B

01100100

C

11100100

D

10011100

Question 116

+8-2

A hard disk has a rotational speed of 6000 rmp. Its average latency time is:

A

5x10

{}^{-3}

sec

B

0.05 sec

C

1 sec

D

0.5 sec

Question 117

+8-2

The range of n-bit signed magnitude representation is:

A

0 to 2

{}^{n}

-n

B

-(2

{}^{n-1}

-1) to (2

{}^{n-1}

-1)

C

-(2

{}^{n}

-1) to (2

{}^{n-1}

-1)

D

0 to 2

{}^{n-1}

-1

Question 118

+8-2

The Boolean expression represented by the following Venn diagram is

A

a XOR b

B

a'b+ab'

C

ab+a'b'

D

(a+b') (a'+b)

Question 119

+8-2

Consider the following minterm expression for F.

\newline

F(P,Q,R,S)=\sum 0,2,5,7,8,10,13,15

\newline

The minterm 2, 7, 8 and 13 are do not care terms. The minimal sum of products form for F is;

A

Q\overline{S}+\overline{Q}S

B

QS+\overline{Q}\overline{S}

C

\overline{Q}\overline{R}\overline{S}+\overline{Q}R\overline{S}+Q\overline{R}S+QRS

D

\overline{P}\overline{Q}\overline{S}+\overline{P}QS+PQS+P\overline{Q}\overline{S}

Question 120

+8-2

\textbf{ }

Consider a hard disk with 16 recording surfaces (0-15) having 16384 cylinders (0-16383) and each cylinder contains 64 sectors (0-63) Data storage capacity in each sector is 512 bytes. Data are organized cylinder-wise and the addressing format is

\mathrm{<}

cylinder no., surface no, sector no.

\mathrm{>}

. A file of size 42797 KB is stored in the disk and the starting disk location of the file is

\mathrm{<}

1200, 9, 40

\mathrm{>}

. What is the cylinder number of the last sector of the file, if it is stored in a contiguous manner?

A

1284

B

1282

C

1286

D

1288

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