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jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 ''''...

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Page 1: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

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Page 2: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 1/14

11th Standard

Business Maths

LITTLE FLOWER MHSSOBJECTIVES Date : 05-Dec-19

Reg.No. :            

Exam Time : 03:00:00 Hrs Total Marks : 225225 x 1 = 225

The value of x if 

0 1 0x 2 x1 3 x

= 0 is

(a) 0, -1 (b) 0, 1 (c) -1, 1 (d) -1, -1

| |The value of 

2x + y x y2y + z y z2z + x z x

 is

(a) xyz (b) x+y+z (c) 2x+2y+2z (d) 0

| |The co-factor of -7 in the determinant 

2 −3 56 0 41 5 −7

 is

(a) -18 (b) 18 (c) -7 (d) 7

| |If △ =

1 2 33 1 22 3 1

 then 

3 1 21 2 32 3 1

 is

(a) △ (b) -△ (c) 3△ (d) -3△

| | | |The value of the determinant 

a 0 00 a 00 0 c

2

is

(a) abc (b) 0 (c) a b c (d) -abc

| |2 2 2

If A is a square matrix of order 3, then |kA| is(a) k|A| (b) -k|A| (c) k |A| (d) -k |A|3 3

adj (AB) is equal to(a) adj A adj B (b) adj A adj B (c) adj B adj A (d) adj B adj AT T T T

The inverse matrix of 

15

525

25

12

is

(a) 730

12

512

25

45

(b) 730

12

− 512

− 25

15

(c) 307

12

512

25

45

(d) 307

12

− 512

− 25

45

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Page 3: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 2/14

If A = a bc d

such that ad - bc  ≠  0 then A is

(a) 1

ad− bc

d b−c a (b)

1ad− bc

d bc a (c)

1ad− bc

d −b−c a (d)

1ad− bc

d −bc a

( ) -1

( ) ( ) ( ) ( )The number of Hawkins-Simon conditions for the viability of an input - output analysis is(a) 1 (b) 3 (c) 4 (d) 2

The inventor of input-output analysis is(a) Sir Francis Galton (b) Fisher (c) Prof. Wassily W. Leontief (d) Arthur Caylay

Which of the following matrix has no inverse

(a) −1 11 −4 (b)

2 −1−4 2 (c)

cos a sin a−sin a cos a (d)

sin a cos a−cos a sin a( ) ( ) ( ) ( )

The Inverse of matrix of3 15 2

 is

(a) 2 −1

−5 3 (b) −2 51 −3 (c)

3 −1−5 −3 (d)

−3 51 −2

( )( ) ( ) ( ) ( )

If A  =−1 21 −4

 then A (adj A) is 

(a) −4 −2−1 −1 (b)

4 −2−1 1 (c)

2 00 2 (d)

0 22 0

( )( ) ( ) ( ) ( )

If A and B are non-singular matrices then, which of the following is incorrect?(a) A = Iimplies A =

A

(b) I =

I

(c) If AX = B, then X = B

A

(d) If A is square matrix of order 3 then |adj A|=

|A|

2 -1  -1 -1

2

The value of 

5 5 54x 4y 4z

−3x −3y −3zis

(a) 5 (b) 4 (c) 0 (d) -3

| |If A is an invertible matrix of order 2, then det (A ) be equal to

(a) det (A) (b) 1

det (A ) (c) 1 (d) 0

-1

If A is 3 x 3 matrix and |A|= 4, then |A | is equal to

(a) 14 (b)

116 (c) 2 (d) 4

-1

If A is a square matrix of order 3 and IAI = 3 then | adj A| is equal to(a) 81 (b) 27 (c) 3 (d) 9

The value of 

x x2 −yz 1

y y2 −zx 1

z z2 −xy 1

 is

(a) 1 (b) 0 (c) -1 (d) -xyz

| |If A = 

cosθ sinθ−sinθ consθ

 then |2A| is equal to

(a) 4 cos 2 θ (b) 4 (c) 2 (d) 1

| |

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Page 4: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 3/14

If △ =

a11 a12 a13

a21 a22 a23

a31 a32 a33

and A is cofactor of a , then value of △ is given by

(a) a A + a A + a

A

(b) a A + a A + a

A

(c) a A + a A + a

A

(d) a A + a A + a

A

| | ij ij

11 31 12 32 13

33

11 11 12 21 13

31

21 11 22 12 23

13

11 11 21 21 31

31

If x 28 5

= 0 then the value of x is

(a) − 56 (b)

56 (c)

− 165 (d)

165

| |

If 4 33 1

= − 5 then value of 20 1515 5

 is

(a) -5 (b) -125 (c) -25 (d) 0

| | | |If any three-rows or columns of a determinant are identical, then the value of the determinant is(a) 0 (b) 2 (c) 1 (d) 3

If nC = nC , then the value of nC is(a) 2 (b) 3 (c) 4 (d) 5

3 2 4

The value of n, when nP = 20 is(a) 3 (b) 6 (c) 5 (d) 4

2

The number of ways selecting 4 players out of 5 is(a) 4! (b) 20 (c) 25 (d) 5

If nP = 720 (nC , then r is equal to(a) 4 (b) 5 (c) 6 (d) 7

r r)

The possible out comes when a coin is tossed five times

(a) 2 (b) 5 (c) 10 (d) 52

5 2

The number of diagonals in a polygon of n seates is equal to(a) nC (b) nC - 2 (c) nC - n (d) nC - 12 2 2 2

The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n ∈  N is(a) 2 (b) 6 (c) 20 (d) 24

If n is a positive integer, then the number of terms in the expansion (x + a) is(a) n (b) n + 1 (c) n-1 (d) 2n

n

For all n > 0, nC + nC + nC + ... +nC is equal to(a) 2n (b) 2 - 1 (c) n (d) n - 1

1 2 3 nn 2 2

The term containing x in the expansion of (x - 2y) is(a) 3 (b) 4 (c) 5 (d) 6

3 7

rd th th th

The middle term in the expansion of  x +1x

10

(a) 10C 1

x (b) 10C (c) 10C (d) 10C x

( )4( ) 5 6 7

4

The constant term in the expansion of  x +2x

6

(a) 156 (b) 165 (c) 162 (d) 160

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Page 5: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 4/14

The last term in the expansion of (3 +√2 ) is

(a) 81 (b) 16 (c) 8√2 (d) 27√3

8

If kx

( x+ 4 ) ( 2x− 1 ) =4x+ 4 +

12x− 1  then k is equal to 

(a) 9 (b) 11 (c) 5 (d) 7

The number of 3 letter words that can be formed from the letters of the word number when therepetition is allowed are(a) 206 (b) 133 (c) 216 (d) 300

The number of parallelograms that can be formed from the set of four parallel lines intersecting anotherset of three parallel lines is(a) 18 (b) 12 (c) 9 (d) 6

There are 10 true or false questions in an examination. Then these questions can be answered in(a) 240 ways  (b) 120 ways  (c) 1024 ways  (d) 100 ways 

The value of (5C + 5C ) + (5C + 5C ) + (5C + 5C ) + (5C + 5C ) + (5C + 5C  ) is(a) 2 -2 (b) 2 -1 (c) 2 (d) 2

o 1 1 2 2 3 3 4 4 56 5 8 7

The total number of 9 digit number which have all different digit is(a) 10! (b) 9! (c) 9 × 9! (d) 10 × 10!

The number of ways to arrange the letters of the word "CHEESE" is(a) 120 (b) 240 (c) 720 (d) 6

13 guests have participated in a dinner. The number of handshakes happened in the dinner is(a) 715 (b) 78 (c) 286 (d) 13

Number of words with or without meaning that can be formed using letters of the word "EQUATION", with no repetition of letters is(a) 7! (b) 3! (c) 8! (d) 5!

Sum of Binomial co-efficient in a particular expansion is 256, then number of terms in the expansion is(a) 8 (b) 7 (c) 6 (d) 9

The number of permutation of n different things taken r at a time, when the repetition is allowed is

(a) r (b) n (c) n !

(n− r ) ! (d) n !

(n+ r ) !n r

Sum of the binomial co-efficients is(a) 2 (b) n (c) 2n (d) n + 17n 2

If m and m are the slopes of the pair of lines given by ax + 2hxy + by = 0, then the value of m + mis(a) 2h/b (b) -2h/b (c) 2h/a (d) -2h/a

1 22 2

1 2

The angle between the pair of straight lines x - 7xy + 4y = 0

(a) tan − 1 13 (b) tan − 1 1

2 (c) tan − 1 √33

5 (d) tan − 1 5

√33

2 2

( ) ( ) ( ) ( )If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is(a) (-1, 1) (b) (1,1) (c) (1, -1 ) (d) (-1, -1)

The x - intercept of the straight line 3x + 2y - 1 = 0 is(a) 3 (b) 2 (c) 1/3 (d) 1/2

The slope of the line 7x + 5y - 8 = 0 is(a) 7/5 (b) -7/5 (c) 5/7 (d) -9/7

The locus of the point P which moves such that P is at equidistance from their coordinate axes is

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Page 6: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 5/14

(a) y =1x

(b) y=-x (c) y=x (d) y = −1x

The locus of the point P which moves such that P is always at equidistance from the line x + 2y+ 7 = 0is(a) x+2y+2=0 (b) x - 2y + 1 = 0 (c) 2x - y + 2 = 0 (d) 3x + y + 1=0

If kx + 3xy - 2y = 0 represent a pair of lines which are perpendicular then k is equal to(a) 1/2 (b) -1/2 (c) 2 (d) -2

2 2

(1, - 2) is the centre of the circle x + y + ax + by - 4 = 0 , then its radius(a) 3 (b) 2 (c) 4 (d) 1

2 2

The length of the tangent from (4,5) to the  circle x +y = 16 is(a) 4 (b) 5 (c) 16 (d) 25

2 2

The focus of the parabola x = 16y is(a) (4,0) (b) (-4,0) (c) (0,4) (d) (0,-4)

2

Length of the latus rectum of the parabola y = - 25x is(a) 25 (b) -5 (c) 5 (d) -25

2

The centre of the circle x + y - 2x + 2y - 9 = 0 is(a) (1,1) (b) (-1,-1) (c) (-1,1) (d) (1, -1)

2

The equation of the circle with centre on the x axis and passing through the origin is(a) x  - 2ax + y = 0 (b) y  - 2ay + x  = 0 (c) x +y =a (d) x  - 2ay + y = 02 2 2 2 2 2 2

If the centre of the circle is (-a, -b) and radius √a2 − b2then the equation of circle is

(a)

x +y +2ax+2by+2b =0

(b) x +y +2ax +2by-

2b =0

(c) x +y - 2ax - 2by - 2b =

0

(d) x + y - 2ax - 2by + 2b =

02 2 2

2 2

2

2 2 2 2 2

Combined equation of co-ordinate axes is(a) x -y =0 (b) x +y =0 (c) xy=c (d) xy=02 2 2 2

ax + 4xy + 2y = 0 represents a pair of parallel lines then 'a' is(a) 2 (b) -2 (c) 4 (d) -4

2 2

In the equation of the circle x +y = 16 then y-intercept is (are)(a) 4 (b) 16 (c) ±4 (d) ±16

2 2

If the perimeter of the circle is 8π units and centre is (2,2) then the equation of the circle is(a) (x - 2) + (y - 2) = 4 (b) (x - 2) + (y - 2) = 16 (c) (x - 4) + (y - 4) = 2 (d) x + y =42 2 2 2 2 2 2 2

The equation of the circle with centre (3,-4) and touches the x - axis(a) (x - 3) +(y - 4) = 4 (b) (x - 3) +(y + 4) =16 (c) (x-3) +(y- 4) =16 (d) x +y =162 2 2 2 2 2 2 2

If the circle touches x axis, y axis and the line x = 6 then the length of the diameter of the circle is(a) 6 (b) 3 (c) 12 (d) 4

The eccentricity of the parabola is(a) 3 (b) 2 (c) 0 (d) 1

The double ordinate passing through the focus is(a) focal chord (b) latus rectum (c) directrix (d) axis

The distance between directrix and focus of a parabola y = 4ax is(a) a (b) 2a (c) 4a (d) 3a

2

The equation of directrix of the parabola y = - x is(a) 4x+ 1 =0 (b) 4x - 1 = 0 (c) x - 4=0 (d) x + 4 = 0

2

The degree measure of π8  is

(a) 20 60 (b) 22 30 (c) 20 60 (d) 20 0o ' o ' o ' o3 '

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Page 7: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 6/14

The radian measure of 37 30 is

(a) 5π24 (b)

3π24 (c)

7π24 (d)

9π24

o '

If tanθ =1

√5 and θ lies in the first quadrant, then cosθ is

(a) 1

√6(b)

− 1

√6(c)

√5

√6(d)

− √5

√6

The value of sin15o is

(a) √3 + 1

2√2(b)

√3 − 1

2√2(c)

√3

√2(d)

√3

2√2

The value of sin( − 420o) is

(a) √3

2 (b) −√3

2 (c) 12 (d)

− 12

The value of cos( − 480o) is

(a) √3 (b) −√3

2 (c) 12 (d)

− 12

The value of sin28ocos17o + cos28osin17o is

(a) 1

√2(b) 1 (c)

− 1

√2(d) 0

The value of sin 15 cos 15 is

(a) 1 (b) 12 (c)

√3

2 (d) 14

o o

The value of sec A sin(270 +A) is(a) -1 (b) cos A (c) sec A (d) 1

o

2 2

If sin A+ cos A=1, then sin 2A is equal to

(a) 1 (b) 2 (c) 0 (d) 12

The value of cos 45 -sin 45 is

(a) √3

2 (b) 12 (c) 0 (d)

1

√2

2 o 2 o

The value of 1-2sin 45 is

(a) 1 (b) 12 (c)

14 (d) 0

2 o

The value 4cos 40 -3cos40 is

(a) √3

2 (b) − 12 (c)

12 (d)

1

√2

3 o o

The value of 2tan 30o

1 + tan230 is

(a) 12 (b)

1

√3(c)

√3

2 (d) √3

If sinA =12  then 4cos3A − 3cosA is

(a) 1 (b) 0 (c) √3

2 (d) 1

√2

The value of 3tan 10o− tan3 10

1 − 3tan2 10 is

(a) 1

√3(b)

12 (c)

√3

2 (d) 1

√2

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Page 8: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 7/14

The value of cosec − 1 2

√3 is

(a) π4 (b)

π2 (c)

π3 (d)

π6

( )sec − 1 2

3+ cosec − 1 2

3=

(a) − π2 (b)

π2 (c) π (d) −π

If α and β be between 0 and π2  and if cos(α + β) =

1213  and sin(α − β) =

35  then sin2α is 

(a) 1615 (b) 0 (c)

5665 (d)

6465

If tanA =12 and tanB =

13 then tan(2A+B) is equal to

(a) 1 (b) 2 (c) 3 (d) 4

tanπ4 − x  is

(a) 1 + tan x1 − tan x (b)

1 − tan x1 + tan x (c) 1-tan x (d) 1+tan x

( )( ) ( )

sin cos − 1 35  is

(a) 35 (b)

53 (c)

45 (d)

54

( )The value of 

1

cosec ( − 45o ) is

(a) − 1

√2(b)

1

√2(c) √2 (d) −√2

If p sec 50 =tan 50 then p is(a) cos 50 (b) sin 50 (c) tan 50 (d) sec 50

o o

o o o o

cos xcosecx

− √1 − sin2x√1 − cos2x is

(a) cos x-sin x (b) sin x-cos x (c) 1 (d) 0

( )2 2 2 2

If f(x) = x  - x + 1, then f (x + 1) is(a) x (b) x (c) 1 (d) x  + x + 1

2

2 2

Let f(x) =x2 − 4x ifx ≥ 2x + 2 ifx < 2 , then f(5) is

(a) -1 (b) 2 (c) 5 (d) 7

{For f(x) =

x2 − 4x ifx ≥ 2x + 2 ifx < 2  then f(0) is

(a) 2 (b) 5 (c) -1 (d) 0

{If f(x) = 

1 − x1 + x  then f(-x) is equal to

(a) -f(x) (b) 1

f ( x ) (c) − 1f ( x ) (d) f(x)

The graph of the line y = 3 is(a) Parallel to x-axis (b) Parallel to y-axis (c) Passing through the origin (d) Perpendicular to x-axis

The graph of y = 2x is passing through(a) (0,0) (b) (2,1) (c) (2,0) (d) (0,2)

2

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Page 9: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 8/14

The graph of y = e intersect the y-axis at(a) (0,0) (b) (1,0) (c) (0,1) (d) (1,1)

x

The minimum value of the function f(x)= Ixl is(a) 0 (b) -1 (c) +1 (d) −∞

Which one of the following functions has the property f (x) = f1x

(a) f(x) =x2 − 1x (b) f(x) =

1 − x2

x (c) f(x) = x (d) f(x) =x2 + 1x

( )If f(x) = 2x and get g(x) = 

1

2x then (fg)(x) is

(a) 1 (b) 0 (c) 4 (d) 1

4xx

Which of the following function is neither even nor odd?(a) f(x) = x  + 5 (b) f(x) = x (c) f(x) = x (d) f(x) = x3 5 10 2

f(x) = - 5 , for all xϵR, is a(a) an identity function (b) modulus function (c) exponential function (d) constant function

The range of f(x) = |x|, for all xϵR, is(a) (0, ∞) (b) (0, ∞) (c) (-∞, ∞) (d) (1, ∞)

The graph of f(x) = e  is identical to that of(a) f(x) = a , a > 1 (b) f(x) = a , a < 1 (c) f(x) = a , 0 < a < 1 (d) y = ax +b, a  ≠  0

x

x x x

If f(x) = x  and g(x) = 2x + 1 then (fg)(0) is(a) 0 (b) 2 (c) 1 (d) 4

2

limx→ ∞tan θθ =

(a) 1 (b) ∞ (c) −∞ (d) θ

limx→ 0ex− 1x =

(a) e (b) nx (c) 1 (d) 0(n-1)

For what value of x, f(x) = x+ 2x− 1

 is not continuous?

(a) -2 (b) 1 (c) 2 (d) -1

A function f(x) is continuous at x = a if  limx→af(x) is equal to

(a) f(-a) (b) f(1a ) (c) 2f(a) (d) f(a)

ddx (

1x ) is equal to

(a) −1

x2 (b) −1x (c) log x (d)

1

x2

ddx (5ex − 2logx) is equal to

(a) 5e  -  2x (b) 5e  - 2x (c) 5e  -  1

x (d) 2 logxx x x

If y = x and z = 1x  then 

dydz =

(a) x (b) 1 (c) -x (d) −1

x22 2

If y = e  then d2y

dx2  at x = 0 is

(a) 4 (b) 9 (c) 2 (d) 0

2x

ddx

(ax) =

(b) a (c) xlogae (d) axlog

ae

a

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12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 9/14

(a) 1

xlogae

If y = log x then y  =

(a) 1x (b) −

1

x2 (c) −2

x2 (d) e

2

2

Average fixed cost of the cost function C(x) = 2x +5x - 14x +21 is

(a) 23 (b)

5x (c)

− 14x (d)

21x

3 2

Marginal revenue of the demand function p= 20–3x is(a) 20–6x (b) 20–3x (c) 20+6x (d) 20+3x

If demand and the cost function of a firm are p= 2–x and c = 2x +2x +7 then its profit function is(a) x + 7 (b) x - 7 (c) - x + 7 (d) - x - 7

2

2 2 2 2

If the demand function is said to be inelastic, then(a) |n | > 1 (b) |n |=1 (c) |n |< 1 (d) |n | = 0d d d d

The elasticity of demand for the demand function x = 1p  os

(a) 0 (b) 1 (c) −1p (d) ∞

Relationship among MR, AR and ηd is

(a) nd =AR

AR−MR (b) n  =  AR - MR (c) MR = AR = n (d) AR =MRn4

4 4

For the cost function C =125e

25, the marginal cost is 

(a) 125 (b)

15 e

5x (c) 1

125e5x (d) 25e5x

Instantaneous rate of change of y = 2x  + 5x with respect to x at x = 2 is(a) 4 (b) 5 (c) 13 (d) 9

2

If the average revenue of a certain firm is Rs 50 and its elasticity of demand is 2, then their marginalrevenue is(a) Rs 50  (b) Rs 25 (c) Rs 100 (d) Rs 75

Profit P(x) is maximum when (a) MR = MC (b) MR = 0 (c) MC = AC (d) TR = AC

The maximum value of f(x)= sinx is

(a) 1 (b) √3

2 (c) 1

√2(d) −

1

√2

If f(x,y) is a homogeneous function of degree n, then x∂f∂x + y

∂f∂y  is equal to

(a) (n–1)f (b) n(n–1)f (c) nf (d) f

if u = 4x  + 4xy + y  + 32 + 16 , then ∂2u∂y∂x  is equal to

(a) 8x + 4y + 4 (b) 4 (c) 2y + 32 (d) 0

2 2

If u = x  + 3xy  + y  then  ∂2u∂y∂x

(a) 3 (b) 6y (c) 6x (d) 2

3 2 3

If u = ex2 then 

∂u∂x  is equal to

(a) 2xex2

(b) ex2

(c) 2ex2

(d) 0

Average cost is minimum when(a) Marginal cost = marginal

revenue

(b) Average cost =

marginal cost

(c) Average cost = Marginal

revenue

(d) Average Revenue =

Marginal cost

A company begins to earn profit at

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12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 10/14

(a) Maximum point (b) Breakeven point (c) Stationary point (d) Even point

The demand function is always(a) Increasing function (b) Decreasing function (c) Non-decreasing function (d) Undefined function

if q = 1000 + 8p  - p  then, ∂q∂p1

 is

(a) -1 (b) 8 (c) 1000 (d) 1000 - p

1 2

2

If R = 5000 units / year, C  = 20 paise , C  = Rs 20 then EOQ is (a) 5000 (b) 100 (c) 1000 (d) 200

1 3

The dividend received on 200 shares of face value Rs.100 at 8% dividend value is(a) 1600 (b) 1000 (c) 1500 (d) 800

What is the amount related is selling 8% stacking 200 shares of face value 100 at 50.(a) 16,000 (b) 10,000 (c) 7,000 (d) 9,000

A man purchases a stock of Rs 20,000 of face value 100 at a premium of 20%, then investment is(a) Rs 20,000 (b) Rs 25,000 (c) Rs 22,000 (d) Rs 30,000

A man received a total dividend of Rs 25,000 at 10% dividend rate on a stock of face value Rs.100,then the number of shares purchased.(a) 3500 (b) 4500 (c) 2500 (d) 300

The brokerage paid by a person on this sale of 400 shares of face value Rs.100 at 1% brokerage(a) Rs 600 (b) Rs 500 (c) Rs 200 (d) Rs 400

Market price of one share of face value 100 available at a discount of 912

% with brokerage 12

% is

(a) Rs 89 (b) Rs 90 (c) Rs 91 (d) Rs 95

A person brought a 9% stock of face value Rs 100, for 100 shares at a discount of 10%, then the stockpurchased is(a) Rs 9000 (b) Rs 6000 (c) Rs 5000 (d) Rs 4000

The Income on 7 % stock at 80 is(a) 9% (b) 8.75% (c) 8% (d) 7%

The annual income on 500 shares of face value 100 at 15% is(a) Rs 7,500 (b) Rs 5,000 (c) Rs 8,000 (d) Rs 8,500

Rs 5000 is paid as perpetual annuity every year and the rate of C.I 10 %. Then present value P ofimmediate annuity is(a) Rs 60,000 (b) Rs 50,000 (c) Rs 10,000 (d) Rs 80,000

If ‘a’ is the annual payment, ‘n’ is the number of periods and ‘i’ is compound interest for Rs 1then future amount of the annuity is

(a) A =  ai (1 + i)(1 + i)n − 1] (b) A =  a

i [(1 + i)n − 1] (c) P =  ai (d) P =  a

i (1 + i)[1 − (1 + i) − n]

A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he mustpurchase a stock worth of(a) Rs 80 (b) Rs 115.20 (c) Rs 120 (d) Rs 125.40

An annuity in which payments are made at the beginning of each payment period is called(a) Annuity due (b) An immediate annuity (c) perpetual annuity (d) none of these

The present value of the perpetual annuity of Rs 2000 paid monthly at 10 % compound interest is(a) Rs 2,40,000 (b) Rs 6,00,000 (c) 20,40,000 (d) Rs 2,00,400

Example of contingent annuity is(a) Life insurance

premium

(b) An endowment fund to give scholarships to

a student

(c) Personal loan from a

bank

(d) All the

above

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https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 11/14

Which of the following is positional measure?(a) Range (b) Mode (c) Mean deviation (d) Percentiles

When calculating the average growth of economy, the correct mean to use is?(a) Weighted mean (b) Arithmetic mean (c) Geometric mean (d) Harmonic mean

When an observation in the data is zero, then its geometric mean is(a) Negative (b) Positive (c) Zero (d) Cannot be calculated

The best measure of central tendency is(a) Arithmetic mean (b) Harmonic mean (c) Geometric mean (d) Median

The harmonic mean of the numbers 2,3,4 is

(a) 1213 (b) 2 (c)

3613 (d)

1336

The geometric mean of two numbers 8 and 18 shall be(a) 12 (b) 13 (c) 15 (d) 11.08

The correct relationship among A.M.,G.M.and H.M.is:(a) A.M.< G.M.< H.M. (b) G.M.≥A.M.≥H.M. (c) H.M.≥G.M.≥A.M. (d) A.M.≥G.M.≥H.M.

Harmonic mean is the reciprocal of(a) Median of the

values.

(b) Geometric mean of the

values.

(c) Arithmetic mean of the reciprocal of

the values.

(d) Quartiles of the

values.

Median is same as(a) Q (b) Q (c) Q (d) D1 2 3 2

The median of 10,14,11,9,8,12,6 is(a) 10 (b) 12 (c) 14 (d) 9

The mean of the values 11,12,13,14 and 15 is(a) 15 (b) 11 (c) 12.5 (d) 13

If the mean of 1,2,3,.......n is6n11 , then the value of n is

(a) 10 (b) 12 (c) 11 (d) 13

Harmonic mean is better than other means if the data are for(a) Speed or rates. (b) Heights or lengths. (c) Binary values like 0 and 1. (d) Ratios or proportions.

The first quartile is also known as(a) median. (b) lower quartile. (c) mode. (d) third decile

If Q = 30 and Q = 50, the coefficient of quartile deviation is(a) 20 (b) 40 (c) 10 (d) 0.25

1 3

If median = 45 and its coefficient is 0.25, then the mean deviation about median is(a) 11.25 (b) 180 (c) 0.0056 (d) 45

The two events A and B are mutually exclusive if(a) P(A ∩ B) = 0 (b) P(A ∩ B) = 1 (c) P(A ∪ B) = 0 (d) P(AUB) = 1

The events A and B are independent if(a) P(A ∩ B) = 0 (b) P(A ∩ B) = P(A) × P(B) (c) P(A ∪ B) = P(A) + P(B) (d) P(A ∪ B) = P(A) × P(B)

If two events A and B are dependent then the conditional probability of P(B/A) is

(a) P(A)P(B /A) (b) P (A∪B )P (B ) (c)

P (A∩B )P (A ) (d) P(A)P(A /B)

The probability of drawing a spade from a pack of card is(a) 1/52 (b) 1/13 (c) 4/13 (d) 1/4

If the outcome of one event does not influence another event then the two events are(a) Mutually exclusive (b) Dependent (c) Not disjoint (d) Independent

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https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 12/14

Let a sample space of an experiment be S = { E ,E ,....., En} Then ∑ni= 1P(Et) is equal to

(a) 0 (b) 1 (c) 12 (d)

13

1 2

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is(a) 1/36 (b) 0 (c) 1/3 (d) 1/6

Probability of an impossible event is(a) 1 (b) 0 (c) 0.2 (d) 0.5

Probability that at least one of the events A, B occur is(a) P(A ∪ B) (b) P(A ∩ B) (c) P(A/B) (d) (A ∪ B)

Example for positive correlation is(a) Income and expenditure (b) Price and demand (c) Repayment period and EMI (d) Weight and Income

If the values of two variables move in same direction then the correlation is said to be(a) Negative (b) positive (c) Perfect positive (d) No correlation

If the values of two variables move in opposite direction then the correlation is said to be(a) Negative (b) Positive (c) Perfect positive (d) No correlation

Correlation co-efficient lies between(a) 0 to ∞ (b) -1 to +1 (c) -1 to 0 (d) -1 to ∞

If r(X,Y) = 0 the variables X and Y are said to be(a) Positive correlation (b) Negative correlation (c) No correlation (d) Perfect positive correlation

The correlation coefficient from the following data N=25, ΣX=125, ΣY=100, ΣX =650, ΣY =436,ΣXY=520(a) 0.667 (b) -0.006 (c) -0.667 (d) 0.70

2 2

From the following data, N=11, ΣX=117, ΣY=260, ΣX =1313, ΣY =6580,ΣXY=2827 the correlationcoefficient is(a) 0.3566 (b) -0.3566 (c) 0 (d) 0.4566

2 2

The correlation coefficient is

(a) r(X,Y)= σxσycov ( x , y ) (b) r(X,Y)= cov ( x , y )

σxσy(c) r(X,Y)= cov ( x , y )

σy(d) r(X,Y)= cov ( x , y )

σx

The variable whose value is influenced or is to be predicted is called(a) dependent variable (b) independent variable (c) regressor (d) explanatory variable

The variable which influences the values or is used for prediction is called(a) Dependent variable (b) Independent variable (c) Explained variable (d) Regressed

The correlation coefficient

(a) r=± bxy × byx (b) r= 1bxy× byx

(c) r=b x b (d) r=± 1bxy× byx√ xy yx √

The regression coefficient of X on Y

(a) b =NΣdxdy− ( Σdx ) ( Σdy )

NΣdy2 − ( Σdy )2 (b) b =NΣdxdy− ( Σdx ) ( Σdy )

NΣdy2 − ( Σdy )2 (c) b =NΣdxdy− ( Σdx ) ( Σdy )

NΣdx2 − ( Σdx )2 (d) b = NΣxy− ( Σx ) ( Σy )

NΣx2 − ( Σx )2 ×√NΣy2 − ( Σy )2xy yx xy xy

√The regression coefficient of Y on X

(a) b =NΣdxdy− ( Σdx ) ( Σdy )

NΣdy2 − ( Σdy )2 (b) b =NΣdxdy− ( Σdx ) ( Σdy )

NΣdy2 − ( Σdy )2 (c) b =NΣdxdy− ( Σdx ) ( Σdy )

NΣdx2 − ( Σdx )2 (d) b = NΣxy− ( Σx ) ( Σy )

NΣx2 − ( Σx )2 ×√NΣy2 − ( Σy )2xy yx yx xy

√When one regression coefficient is negative, the other would be

(a) Negative (b) Positive (c) Zero (d) None of them

If X and Y are two variates, there can be atmost(a) One regression line (b) two regression lines (c) three regression lines (d) more regression lines

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https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 13/14

The lines of regression of X on Y estimates(a) X for a given value of Y (b) Y for a given value of X (c) X from Y and Y from X (d) none of these

Scatter diagram of the variate values (X,Y) give the idea about(a) functional relationship (b) regression model (c) distribution of errors (d) no relation

If regression co-efficient of Y on X is 2, then the regression co-efficient of X on Y is

(a) ≤ 12 (b) 2 (c) > 1

2 (d) 1

If two variables moves in decreasing direction then the correlation is(a) positive (b) negative (c) perfect negative (d) no correlation

The person suggested a mathematical method for measuring the magnitude of linear relationshipbetween two variables say X and Y is(a) Karl Pearson (b) Spearman (c) Croxton and Cowden (d) Ya Lun Chou

The lines of regression intersect at the point

(a) (X,Y) (b) X, Y (c) (0,0) (d) (σ , σ )( ) x y

The term regression was introduced by(a) R.A Fisher (b) Sir Francis Galton (c) Karl Pearson (d) Croxton and Cowden

If r=–1, then correlation between the variables(a) perfect positive (b) perfect negative (c) negative (d) no correlation

The coefficient of correlation describes(a) the magnitude and direction (b) only magnitude (c) only direction (d) no magnitude and no direction

Cov(x,y)=–16.5, σ2x = 2.89, σ2

y=100. Find correlation coefficient

(a) -0.12 (b) 0.001 (c) -1 (d) -0.97

The critical path of the following network is

(a) 1 – 2 – 4 – 5 (b) 1– 3– 5 (c) 1 – 2 – 3 – 5 (d) 1 – 2 – 3 – 4 – 5

Maximize: z=3x +4x  subject to 2x +x2≤40, 2x +5x ≤180, x ,x ≥0 in the LPP, which one of thefollowing is feasible corner point?(a) x =18, x =24 (b) x =15, x =30 (c) x =2.5, x =35 (d) x =20, x =19

1 2 1 1 2 1 2

1 2 1 2 1 2 1 2

One of the conditions for the activity (i, j) to lie on the critical path is(a) E -E =L -L =t (b) E -E =L -L =t (c) E -E =L -L =t (d) E -E =L -L ≠tj i j i ij i j j i ij j i i j ij j i j i ij

In constructing the network which one of the following statement is false?(a) Each activity is represented

by one and only one arrow. (i.e)

only one activity can connect any

two nodes

(b) Two activities

can be identified by

the same head and

tail events

(c) Nodes are numbered to identify an

activity uniquely. Tail node (starting point)

should be lower than the head node (end

point) of an activity

(d) Arrows

should not

cross each

other

In a network while numbering the events which one of the following statement is false?(a) Event

numbers

should be

unique

(b) Event numbering should be

carried out on a sequential basis

from left to right

(c) The initial

event is

numbered 0 or

1

(d) The head of an arrow should always bear

a number lesser than the one assigned at the

tail of the arrow

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https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 14/14

*****************************************

A solution which maximizes or minimizes the given LPP is called(a) a solution (b) a feasible solution (c) an optimal solution (d) none of these

In the given graph the coordinates of M are

(a) x =5, x =30 (b) x =20, x =16 (c) x =10, x =20 (d) x =20, x =30

1

1 2 1 2 1 2 1 2

The maximum value of the objective function Z = 3x + 5y subject to the constraints x > 0 , y > 0 and 2x+ 5y ≤10 is(a) 6 (b) 15 (c) 25 (d) 31

The minimum value of the objective function Z = x + 3y subject to the constraints 2x + y ≤20, x + 2y≤ 20,x > 0 and y > 0 is(a) 10 (b) 20 (c) 0 (d) 5

Which of the following is not correct?(a) Objective that we aim to

maximize or minimize

(b) Constraints that we

need to specify

(c) Decision variables that

we need to determine

(d) Decision variables are

to be unrestricted

In the context of network, which of the following is not correct(a) A network is a

graphical

representation

(b) A project network cannot

have multiple initial and final

nodes

(c) An arrow diagram is

essentially a closed

network

(d) An arrow representing an

activity may not have a length

and shape

The objective of network analysis is to(a) Minimize total

project cost

(b) Minimize total project

duration

(c) Minimize production delays, interruption

and conflicts

(d) All the

above

Network problems have advantage in terms of project(a) Scheduling (b) Planning (c) Controlling (d) All the above

In critical path analysis, the word CPM mean(a) Critical path

method

(b) Crash project

management

(c) Critical project

management

(d) Critical path

management

Given an L.P.P maximize Z=2x +3x  subject to the constrains x +x ≤1, 5x +5x ≥0 and x ≥0,x ≥0 using graphical method, we observe(a) No feasible solution (b) unique optimum solution (c) multiple optimum solution (d) none of these

1 2 1 2 1 2 1

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11th Standard

Business Maths

LITTLE FLOWER MHSSOBJECTIVES Date : 05-Dec-19

Reg.No. :            

Time : 03:00:00 Hrs

Total Marks : 225225 x 1 = 225

(b) 0, 1

(d) 0

(d) 7

(b) -△

(c) a b c2 2 2

(c) k |A|3

(a) adj A adj B

(c) ( )30

7

1

2

2

5

5

12

4

5

(c) ( )1

ad−bc

d

−c

−b

a

(d) 2

(b) Fisher

(b) ( )2

−4

−1

2

(a) ( )2

−5

−1

3

(c) ( )2

0

0

2

(c) If AX = B, then X = B A-1

(c) 0

(a) det (A)

(d) 4

(d) 9

(b) 0

1)2)3)4)5)6)7)8)

9)

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(b) 4

(d) a A + a A + a A11 11 21 21 31 31

(d) 16

5

(b) -125

(a) 0

(d) 5

(c) 5

(d) 5

(c) 6

(a) 25

(c) nC - n2

(d) 24

(b) n + 1

(b) 2 - 1n

(c) 5th

(b) 10C5

(d) 160

(b) 16

(a) 9

(c) 216

(a) 18

(c) 1024 ways 

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(a) 2 -26

(c) 9 9!×

(a) 120

(b) 78

(c) 8!

(d) 9

(b) nr

(a) 2n

(b) -2h/b

(c) ta ( )n−1 33√

5

(c) (1, -1 )

(c) 1/3

(b) -7/5

(c) y=x

(a) x+2y+2=0

(c) 2

(a) 3

(b) 5

(c) (0,4)

(a) 25

(d) (1, -1)

(a) x  - 2ax + y = 02

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(a) x +y +2ax+2by+2b =02 2 2

(d) xy=0

(a) 2

(c) ±4

(b) (x - 2) + (y - 2) = 162 2

(b) (x - 3) +(y + 4) =162 2

(a) 6

(d) 1

(b) latus rectum

(b) 2a

(b) 4x - 1 = 0

(b) 22 30o '

(a) 5π

24

(c) 5√

6√

(b) −13√

2 2√

(b) −3√

2

(d) −12

(a) 1

2√

(d) 14

(a) -1

(c) 0

(c) 0

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(d) 0

(b) −12

(d) 3√

(b) 0

(b) 12

(c) π

3

(b) π

2

(c) 5665

(c) 3

(b) ( )1−tan x

1+tan x

(c) 45

(a) −12√

(b) sin 50o

(d) 0

(d) x  + x + 12

(c) 5

(a) 2

(b) 1f(x)

(a) Parallel to x-axis

(a) (0,0)

(c) (0,1)

(b) -1

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(d) f (x) = +1x2

x

(a) 1

(a) f(x) = x  + 53

(d) constant function

(b) (0,  )∞

(a) f(x) = a , a > 1x

(a) 0

(a) 1

(c) 1

(b) 1

(d) f(a)

(a) − 1

x2

(a) 5e  - x 2x

(c) -x2

(a) 4

(d) logaxa

e

(b) − 1

x2

(d) 21x

(a) 20–6x

(b) x - 72

(c) |n |<1d

(b) 1

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(a) =ndAR

AR−MR

(b) 1

5e5x

(c) 13

(b) Rs 25

(a) MR = MC

(a) 1

(c) nf

(b) 4

(b) 6y

(a) 2xex2

(b) Average cost = marginal cost

(b) Breakeven point

(b) Decreasing function

(b) 8

(c) 1000

(a) 1600

(b) 10,000

(c) Rs 22,000

(c) 2500

(d) Rs 400

(c) Rs 91

(b) Rs 6000

131)

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Page 23: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 8/11

(b) 8.75%

(b) Rs 5,000

(c) Rs 10,000

(b) A =  [(1 + i − 1]a

i)n

(a) Rs 80

(a) Annuity due

(c) 20,40,000

(c) Personal loan from a bank

(d) Percentiles

(c) Geometric mean

(c) Zero

(a) Arithmetic mean

(c) 3613

(a) 12

(d) A.M.≥G.M.≥H.M.

(c) Arithmetic mean of the reciprocal of the values.

(b) Q2

(a) 10

(d) 13

(c) 11

(a) Speed or rates.

(b) lower quartile.

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Page 24: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 9/11

(d) 0.25

(a) 11.25

(b) P (A ∩ B) = 1

(b) P (A ∩ B) = P (A) × P (B)

(c) P(A∩B)

P(A)

(d) 1/4

(d) Independent

(b) 1

(a) 1/36

(b) 0

(a) P (A ∪ B)

(a) Income and expenditure

(b) positive

(a) Negative

(b) -1 to +1

(c) No correlation

(a) 0.667

(a) 0.3566

(b) r(X,Y)= cov(x,y)

σxσy

(a) dependent variable

(b) Independent variable

(a) r=± ×bxy byx− −−−−−−√

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Page 25: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 10/11

(a) b =xyNΣdxdy−(Σdx)(Σdy)

NΣd −(Σdyy2 )2

(c) b =yxNΣdxdy−(Σdx)(Σdy)

NΣd −(Σdxx2 )2

(a) Negative

(b) two regression lines

(a) X for a given value of Y

(a) functional relationship

(a) ≤ 12

(a) positive

(a) Karl Pearson

(b) ( , )X Y

(b) Sir Francis Galton

(b) perfect negative

(a) the magnitude and direction

(d) -0.97

(d) 1 – 2 – 3 – 4 – 5

(c) x =2.5, x =351 2

(a) E -E =L -L =tj i j i ij

(b) Two activities can be identified by the same head and tail events

(d) The head of an arrow should always bear a number lesser than the one assigned at the tail of the arrow

(c) an optimal solution

(c) x =10, x =201 2

(b) 15

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Page 26: jiyg;gpw;F fPNo cs;s ypq;if fpspf; nra;J FOtpy; ,izaTk;! ) · 2019-12-11 · a √−b =16 '''' Padasalai

12/5/2019 Preview Question Paper

https://teacher.qb365.in/5a50ff6949242e940854f70f4a117d80/120437/ddd1aaa7a2aa64b0236d3ec5631c15c8 11/11

(c) 0

(d) Decision variables are to be unrestricted

(d) An arrow representing an activity may not have a length and shape

(b) Minimize total project duration

(d) All the above

(a) Critical path method

(a) No feasible solution

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