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 TRT(DSC) MODEL EXAM(MATHS) Questions : 160

Marks : 80

Duration: 150 Mins.

    Peter Sutherland         Antonio Gutteres          Jim Yong Kim    Christiane legarde                                                                                       www(world wide web)                                               WHO           ILO                   G.K. & CURRENT AFFAIRS

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Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

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                                                                                                       (1) 2 4 1 3  (2) 2 1 4 3        (3) 4 1 2 3  (4) 4 2 1 3                          OBB                                                     Nation Council of Environmental Planning Co-or dination                       

Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

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              "KGBV"                                                                            

42.

3

43.

44.

AB  AC  1)  3) 



0

B = 3  1 

1)  0 3   

2) 3 0

3) 3 3

4) 0  3

5 x A=    A = AT   y 0 1) x = 0, y = 5 2) x+y=5 3) x = y 4) x = -y a,b,c  A.P., 

x 1 x  2 x  a x2 x3 x3 x4 1) 45.

a b 2

xb  xc

2) ab

3) 0

4) abc

x -y+3z = 5, 4x + 2y - z = 0, x + 3y +z = 5 

 1) 1 3) 0 46.



2) 2 4)

 2  2  1 0  2 0 0  1   2 5    1 1 0 x  0 1        = 1) -3 2) -2 3) 0 4) 3

 x

A  1, 2,3 , B   2,3, 4   AB C 

2AB  BC  C 



  5, 4, 6 

  6, 2, 4

  4,5, 6 

  6, 4,5

O   0, 0, 0        1 1 , , n  n  0      oz    2 2

 

MATHEMATICS CONTENT 41.

1 2 A=   0 3 BA =



B  C , A 2)  4) 

1 2

 450

 600 1350

Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

3

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49.

                    1) 0 2) 1 3) 2 4)  

50.

Sin 24o + Sin 32o + Sin 204o + Sin 212o = 1. -1 2- 1 3- 0 4. 2 Cos (). Cos () + Sin (). Sin () = 1. Cos 2 2. Sin 2 3. Cot 2 4. tan 2

51.

52.

53.

      

Cos  Sin Cos  Sin   Cos  Sin Cos  Sin 1. 2 Sin  2. 2 Cos  3. 2 tan 2 4. 2 Cot 2

3 4

 18 

 16

2 3



          

 4x  9  The period of Sin   is  7  1. 7/2 2. 5/2 3. /2 4. 3/2 Cos 5 + Cos 7 = 1. 2 Sin 6 Cos 4 2. 2 Sin 4 Cos 6 3. 2 Cos 4 Sin 2 4. 2 Sin 4 Cos 2

1 9

11 

1 9

 11 

                    IIT-JEE  EAMCET                         54.

  1 1 1 : :   2 3 4                               1 1      2 2       59. R : r = 1. 1 : 2 3. 3 : 1

        same calendar       

2. 2 : 1 4. 

Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

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69.

                          o  o o o o  2x + 3y + 4 = 0 X- o             

abc=1 

1 1 1   = 1 1 1 a  b 1 b  c 1  c  a 1

 

3+ 2 , 3-

   2              

 71.

1. x2 + 6x - 7 = 0 3. x2-6x-7 = 0 ax2 + bx + c = 0

1 1 ,  

2. x2 + 6x + 7 = 0 4. x2-6x+7 = 0      



1. cx2 - bx + a =0 3. ax + bx + c = 0

2. a+ bx + cx2 = 0 4. ax + b = 0

          ABCD                   A  C









o o o o ABC                  P AB, BC , CA      3 P          3  2, 2  3   1  3, 3  2     2  3,1  2 3       2  3,1  2 3    2   x - y + 3 = 0  y = kx  K =        ~(~ p  q) =  1. p  ~q 2. ~ p  ~ q  3. ~ p  q 4. p  ~ q   87. ~(~ p  q) 1. p  ~ q 2. ~p  q  3. ~p  q 4. ~p  ~q     

Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

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 f(20) = 40     2. 80  4.     n(A) = 6  n(B)=6  A  B   4 3, 12 125, 6 10    4 3, 6 10, 12 125  12 125, 6 10, 4 3      f(x) - x4 - 3x3 + 2x2 - 7x + 1 g(x) = 7x +3 h(x) = 4  4 3, 12 125, 6 10  12 125, 4 3, 6 10 88.

f(n) = f(n+1)  n N f(40)= 1. 60 3. 40

(gohof)(g) = 1. 59 3. 77



1

f ( x) 

6 x  x2  5

4.

 , 2    3,  

4. { 0 }



3. 

105.

A  B  A - B = 1. A 4.





 { } 2. {0, 1 } 3. { 1 } 2. B



A= {x/x - 3x + 2 = 0] B = {x/x2 - 5x + 6 = 0 ] A - B = 2. 1

3. 2



(x+iy)1/3 = a + ib

  

x y  a b

1. 4 ( a - b) 2. 4 ( a + b) 3. 4 (a2 + b2) 4. 4 (a2 - b2) 3 3 a + b = 152 ; a . b = 15  a + b ......... 1. 9 2. 8 3. 7 4. 6

log a log b log c   b c c  a a b

 

2

1. 0

1  2i 1 i

 

[ 1, 5 ]

3. (2, 3)





    f

  92.

     

2. 2634 4. 





  a a .b b .c c   



 log10 98  x 2  12 x  36  2   x 

4. 3

          a c   ..........  a + b = 2c  a c bc   1. 1 2. 4 3. 0 4. 7     x 51  51  ( x  1)           2 2  x - 4 x + x - 6   (1  i )100  249 ( x  iy)    x2  y 2   x- 3 2. x - 2 3. x + 3 4. x+1  110. x f(x)  (x-a), f(x)      f(a) = 0 (  (1  i )2n  (1  i)2 n           f(a) = 0    (x-a)   n         95.

Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

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 p  1, x  px  q        q =      n

121. x2 + ax + b  x2 + bx + a (a  b)

2

2. n2

1. n

3. n+1

 a + b + 1 = ............ 1. 0 2. 1 3. 2 2 122. x - 3x + 2 < 0 

     ax2 + bx + c=0 

4. n-1

 Z 1

 L    1 2

2

 L     C 1 2

1











4. 3

1

(r  1)2  L     C  L     C = 1 2 2 1 r  1. 1 2. b2 - 4ac 2 3. b / ac 4. b2 - ac  124. px2 + 2px + q =0       px2 + (q - r) x - (r + p - q) = 0          1.         x4 - 11x3 + 44x2 - 76x + 48 = 0          x = 1 2. x = 2 3. x = 3 4. x =4  2 3 5 126. (1+x + x + x )  x     1. 256 2. 512 3. 1024 4. 64  n 127. ( x  2 / x )   n  CPU         8 8  (1+x) (1 + 1/x)  x   1. 8C4 2. 8C2  3. 16C8 4. 16C2  y = mx c 2.(x-x1) = m ( y - y1) 3. ax + by + c = 0

MATHEMATICS METHOD

4. (y - y1) m(x-x1)

                   x > 5         Q1, Q2 2. Q2, Q3     119.

3. Q1, Q4

4, Q3, Q4

  

  

Conducted by :: CLiCK Above KVB, SaibabaTemple, Temple Lane DILSUKHNAGAR, : 9000400055, 9989522200 9989522200 Prepared by CLiCKInstitute, Institute, Opp. Saibaba DILSUKHNAGAR, Ph Ph : 9000400055,

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                                                                                                                                                 

                                                                                                                                                

Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

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                                                                                                                                                                                                                                     

                                                                                                                                                

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Prepared by : CLiCK Institute, Opp. Saibaba Temple, DILSUKHNAGAR, Ph : 9000400055, 9989522200

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TRT-(MATHS) MODEL EXAM KEY 1) 4 11) 2 21) 4 31) 4 41. 1 51. 1 61. 1 71. 2 81. 3 91. 1 101. 4 111. 1 121. 1 131. 2 141. 1 151. 1

2) 3 12) 2 22) 2 32) 4 42. 3 52. 3 62. 1 72. 1 82. 3 92. 1 102. 2 112. 4 122. 1 132. 2 142. 3 152. 1

3) 4 13) 4 23) 3 33) 3 43. 3 53. 1 63. 2 73. 1 83. 3 93. 3 103. 4 113. 3 123. 3 133. 1 143. 2 153. 2

4) 3 14) 4 24) 4 34) 1 44. 3 54. 3 64. 4 74. 3 84. 3 94. 2 104. 2 114. 2 124. 2 134. 3 144. 1 154. 1

5) 4 15) 2 25) 2 35) 4 45. 1 55. 2 65. 1 75. 2 85. 3 95. 4 105. 2 115. 1 125. 2 135. 4 145. 3 155. 1

6) 2 16) 1 26) 3 36) 3 46. 4 56. 1 66. 2 76. 3 86. 2 96. 4 106. 4 116. 1 126. 2 136. 1 146. 1 156. 1

7) 1 17) 2 27) 1 37) 2 47. 3 57. 3 67. 2 77. 1 87. 4 97. 4 107. 1 117. 4 127. 2 137. 4 147. 3 157. 2

8) 4 18) 2 28) 4 38) 1 48. 4 58. 4 68. 1 78. 4 88. 3 98. 1 108. 1 118. 3 128. 3 138. 2 148. 4 158. 1

9) 2 19) 1 29) 3 39) 3 49. 4 59. 2 69. 1 69. 3 89. 2 99. 3 109. 2 119. 1 129. 3 139. 4 149. 3 159. 3

10) 1 20) 4 30) 2 40) 2 50. 3 60. 1 70. 4 80. 2 90. 4 100. 2 110. 2 120. 3 130. 3 140. 4 150. 1 160. 2

9) 2 19) 1 29) 3 39) 3 49. 4 59. 2 69. 1 69. 3 89. 2 99. 3 109. 2 119. 1 129. 3 139. 4 149. 3 159. 3

10) 1 20) 4 30) 2 40) 2 50. 3 60. 1 70. 4 80. 2 90. 4 100. 2 110. 2 120. 3 130. 3 140. 4 150. 1 160. 2

TRT-(MATHS) MODEL EXAM KEY 1) 4 11) 2 21) 4 31) 4 41. 1 51. 1 61. 1 71. 2 81. 3 91. 1 101. 4 111. 1 121. 1 131. 2 141. 1 151. 1

2) 3 12) 2 22) 2 32) 4 42. 3 52. 3 62. 1 72. 1 82. 3 92. 1 102. 2 112. 4 122. 1 132. 2 142. 3 152. 1

3) 4 13) 4 23) 3 33) 3 43. 3 53. 1 63. 2 73. 1 83. 3 93. 3 103. 4 113. 3 123. 3 133. 1 143. 2 153. 2

4) 3 14) 4 24) 4 34) 1 44. 3 54. 3 64. 4 74. 3 84. 3 94. 2 104. 2 114. 2 124. 2 134. 3 144. 1 154. 1

5) 4 15) 2 25) 2 35) 4 45. 1 55. 2 65. 1 75. 2 85. 3 95. 4 105. 2 115. 1 125. 2 135. 4 145. 3 155. 1

6) 2 16) 1 26) 3 36) 3 46. 4 56. 1 66. 2 76. 3 86. 2 96. 4 106. 4 116. 1 126. 2 136. 1 146. 1 156. 1

7) 1 17) 2 27) 1 37) 2 47. 3 57. 3 67. 2 77. 1 87. 4 97. 4 107. 1 117. 4 127. 2 137. 4 147. 3 157. 2

8) 4 18) 2 28) 4 38) 1 48. 4 58. 4 68. 1 78. 4 88. 3 98. 1 108. 1 118. 3 128. 3 138. 2 148. 4 158. 1

Conducted by ::CLiCK Institute, Above KVB, SaibabaTemple, Temple Lane DILSUKHNAGAR, : 9000400055, 9989522200 Prepared by CLiCK Institute, Opp. Saibaba DILSUKHNAGAR, PhPh : 9000400055, 9989522200

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