JEXPO 2013 solved question next mathematics(51-100)

JEXPO 2013 Solved question paper MATHEMATICS (Q.51-Q.100)
51. A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, then the ratio of radius of the base of the cone to its height is Ans.: (A) 3:4 (Question in bengali version was wrongly printed)	52. The value of tan260° - 2 sin60° + cot30° is Ans.: (C) 3
53. If x sin60°cos230° = tan245° sec60$deg /cosec60°, then the value of x is Ans.: (A) 8/3	54. If tan2 -(√3 +1)tanθ + √3=0 and 45°<θ<90°, the value of cos2θ -sin2θ is Ans.: (B) -0.5
55. In a triangle ABC, the value of tan (B+C)/2 tanA/2 is Ans.:(A) 1	56. If sinθ - cosθ =7/13, then the value of sinθ + cosθ is Ans.: (B) 17/13
57. If the sum of the two angles is 135° and their difference is π/12, then the value of the greatest angle in circular measure is Ans.: (D) 5π/12	58. If xsinθ=2y cosθ and 2x secθ -ycosecθ=3 then the value of x2+4y2 is Ans.: (D) 4
59. If x and θ both are real and cosθ= x+1/x, then the value of θ is Ans.: (D) None of the above	60. The value of cos2013π/3 + cos20135π/6 + cos20134π/3 + cos201311π/6 + is Ans.: (C) 0
61. If tan4θ+tan6θ=tan2θsec2θ and 0°<θ≤90°, then the value of θ is Ans.: (B) 45°	62. If cosθ - √2 sinθ = √3 sinθ, then the simplified value of the expression sinθ +√2 cosθ is Ans.:(B) √3 cosθ
63. Numerical value of 7/(1+tan2θ) + 3/(1+cot2θ) +4 - 4cos2θ is Ans.: (A) 7	64. If (1+cosθ+sinθ)/(1+sinθ) =x, the value of (1+cosθ -sinθ)/cosθ is Ans.: (A) x
65. If 3-3sinθ-cos2θ=0 and 0°≤θ≤90°, then the value of θ is Ans.: (C) 90°	66. If 4sin2θ - 4xsinθ +2x2-2x+1=0 and 0°≤θ≤90°, then the value of θ is Ans.:(A) 30°
67. If ΔABC is similar to ΔDEF and <A=47°, <E=83°, then <C is equal to Ans.: (C) 50°	68. The equation (k-4)x +4y=3 and x+(k-4)y=1 will have a unique solution, If Ans.: (A) k≠6 and k≠2
69. If x= (k+12)/10 and x=(k-12)/10 are the solutions of 5x2 + 2x - 7 =0, then the possible value of k is Ans.:(B) -2	70. A person travels 70% of his tour by train, 22% by bus, 6% by taxi and rest 3 km by walk. THe distance he travelled by bus is Ans.: (C) 33 km
71. The electric poles are placed along the railway tracks, the distance between two consecutive electric poles is 70 meters. A passenger in a running train counts that in 7 minutes 71 poles passed. The speed of the train is Ans.: (B) 42 km/hour	72. A particular work can be done by Raghu and Bimal in 10 days, by Bimal and Arif in 12 days and by Arif and Raghu in 15 days. The work done by all of them together in Ans.: (C)8 days
73. A train 120 meters long, passes a signal post in 6 seconds, The speed of the train is Ans.: (D) 72 km/hour	74. A train of length 150 meters passed a railway platform of length 200 meters completely in 35 seconds. The speed of the train at that time was Ans.: (B) 36 km/hour
75. A car goes a distance at a speed of 60 km/hour and returns the same distance at a speed of 40 km/hour. The average speed of the car is Ans.:(A) 48 km/hour	76. If 8/(x+2) =6/(x+5), then x is equal to Ans.: (D) -14
77. If -3≤x≤3 and x is a whole number the maximum value of x2 +2 is Ans.: (D) 11	78. The solution of the equations : S 1/x + 1/y =5/8 and 1/x - 1/y =3/8 is Ans.: (A) x=2, y=8
79. The solution of the equation (√x -1)/(√x -√3) =(√x - √3)/√x is Ans.: (B) 9	80. The H.C.F. of x3+xy2, x2+xy and x2y+xy2 is Ans.: (C) x
81. If (a-x)(x-b)>0, where a<b, then the value of x will be Ans.:(B) a<x<b	82. If the roots of the equation x2 +2px +q =0 are real and unequal then Ans.: (A) p2>q
83. If x=(√5 + √3)/(√5 - √3) then the value of x2 - 8x +8 is Ans.: (C) 7	84. One of the factors of x4+x3 - 10 x2 + 7x +2 is Ans.: (D) x-2
85. A rectangular parallelopiped, whose length, breadth and height are respectively 8 units, 4 units and 2 units, have the same volume as a cube. The surface area of the cube is Ans.: (B) 96 sq. units	86. Two right circular cones have the same volume. If the ratio of the radii of their bases is 1:2, the ratio of their heights will be Ans. : (C) 4:1
87. A solid cube of side 15 cm is melted to form small cubes of side 3 cm. The number of small cubes is Ans. : (D) 125	88. The lines OB and OC trisects the right angle <AOD such that AB|_OB, BC|_OC and CD|_OD. If OA=1 unit, then OD is equal to Ans.: (D) 3√3/8
89. Elevation of a tower from a place is 30°, after moving towards the tower by 100 meter elevation becomes 45°, Height of the tower is Ans.: (B) 136.6 meter	90. If 2 cos2x =7sinx -2, then x= Ans.: (A) π/6
91. The elevation of the top of a tower observed from the ground floor and roof of a building of height 10 meter are respectively 60° and 45°. THe distance of the tower from the building is Ans.: (D)10/(√3-1)	92. If (x-y)∞1/z, (y-z)∞1/x, (z-x)∞1/y and k,l,m are their constant of variation respectively, then the relation between k,l and m is Ans.: (B) k+l+m=0
93. If a/(b+c) + b/(c+a) +c/(a+b) =1, then the value of a2/(b+c) + b2/(c+a) +c2/(a+b) Ans.: (Unable to solve this question by me.)	94. If (5x-2y):(2x+3y)=2:3, then which of the four relation is correct Ans.: (C) x>y
95. If f(x)=x6-10x5-10x4-10x3-10x2-10x+10, then the value of f(11) is Ans.: (D) 21	96. The base of the prism is a square and the height of the prism is 10 cm. If the whole surface area of the prism be 192 sq. cm., then the volume of the prism is Ans.: (B) 160 c.c.
97. If a=3+2√2 then the value of (a6+a4+a2+1)/a3 is Ans.: (A) 204	98. If the square of an odd positive integer is didided by 8 then the remainder is always Ans.: (B) 1
99. The simplified value of 999 (994/999) x 999 is Ans.: (D) 998995	100. ABCD is a cyclic quadrilateral. AB and DC when produced meet each other at the point P. Then which of the following is true? Ans.: (B) PA.PC = PB.PD
You can see all questions answers form the link below: JEXPO 2013 Physics answers, Chemistry answers, Mathematics first 50 questions answers
Madhyamik Result 2013: You download your result form the link provided in this post. To download your result click here.  Madhyamik result published 27th May at 11:00 am.	JEXPO Result 2013 : You can get all the listed site  provides JEXPO 2013 result form here. You also can download the counseling procedure and date form here... read more..
Polytechnic College List : List of all polytechnic colleges in West Bengal. Best Polytechnic college in West Bengal... Seat reserved for JEXPO and VOCLET in these polytechnic etc.. Read more..
Good Luck All of my Brothers and Sisters and Students.. Keep touch with my blog for more upto date JEXPO 2013 result, VOCLET 2013 Result, Counseling Procedure, Rank List called for counseling etc. West Bengals No. 1 JEXPO ,VOCLET News Blog always with you.

© Engg. Suman Biswas B.Tech (I.T)