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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

If cot (A + B) = 0, then sin (A + 2B) is equal to

If cot (A + B) = 0, then sin (A + 2B) is equal to
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

The joint equation of pair of lines through the origin and making an equilateral triangle with the line y = 5 is

The joint equation of pair of lines through the origin and making an equilateral triangle with the line y = 5 is
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

Maximum value of Z = 5x + 2y, subject to 2x – y ≥ 2, x + 2y ≤ 8 and x, y ≥ 0 is

Maximum value of Z = 5x + 2y, subject to 2x – y ≥ 2, x + 2y ≤ 8 and x, y ≥ 0 is
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

The value of sin ⁡(2sin−1 ⁡0.8) is equal to

The value of sin ⁡(2sin−1 ⁡0.8) is equal to
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

A line makes the same angle 'α' with each of the x and y axes. If the angle 'θ', which it makes with the z-axis, is such that sin2θ = 2 sin2α, then the angle α is

A line makes the same angle 'α' with each of the x and y axes. If the angle 'θ', which it makes with the z-axis, is such that sin2θ = 2 sin2α, then the angle α is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

The negation of the statement pattern p∨(q→∼r) is

The negation of the statement pattern p∨(q→∼r) is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

The incidence of occupational disease in an industry is such that the workmen have a 10% chance of suffering from it. The probability that out of 5 workmen, 3 or more will contract the disease is

The incidence of occupational disease in an industry is such that the workmen have a 10% chance of suffering from it. The probability that out of 5 workmen, 3 or more will contract the disease is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increased by 8 then the new variance and new mean of resulting observations are respectively

The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increased by 8 then the new variance and new mean of resulting observations are respectively
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt

If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and section II consists of 5 questions, then the number of different ways can student select 6 questions, taking at least 2 questions from each section, is

If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and section II consists of 5 questions, then the number of different ways can student select 6 questions, taking at least 2 questions from each section, is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt

(where C is a constant of integration)

(where C is a constant of integration)
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of kings is

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of kings is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt

The polar co-ordinates of the point, whose Cartesian coordinates are (−2√3,2), are

The polar co-ordinates of the point, whose Cartesian coordinates are (−2√3,2), are
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt

(where [x] denotes the greatest integer function.)

(where [x] denotes the greatest integer function.)
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt

The equations of the lines passing through the point (3,2) and making an acute angle of 45∘ with the line x − 2y − 3 = 0 are

The equations of the lines passing through the point (3,2) and making an acute angle of 45∘ with the line x − 2y − 3 = 0 are
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt

If [x] is greatest integer function and 2[2x − 5] − 1 = 7, then x lies in

If [x] is greatest integer function and 2[2x − 5] − 1 = 7, then x lies in
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt

The Cartesian equation of a line passing through (1, 2, 3) and parallel to x – y + 2z = 5 and 3x + y + z = 6 is

The Cartesian equation of a line passing through (1, 2, 3) and parallel to x – y + 2z = 5 and 3x + y + z = 6 is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt

If the lines 3x – 4y – 7 = 0 and 2x – 3y – 5 = 0 pass through diameters of a circle of area 49π square units, then the equation of the circle is

If the lines 3x – 4y – 7 = 0 and 2x – 3y – 5 = 0 pass through diameters of a circle of area 49π square units, then the equation of the circle is
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt

A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at the rate of 50 cm3 /min. If the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases is

A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at the rate of 50 cm3 /min. If the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt

(where C is a constant of integration.)

(where C is a constant of integration.)
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt

The equation of the plane passing through the points (2, 3, 1), (4, –5, 3) and parallel to X-axis is

The equation of the plane passing through the points (2, 3, 1), (4, –5, 3) and parallel to X-axis is
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt

The negation of the statement, "The payment will be made if and only if the work is finished in time" is

The negation of the statement, "The payment will be made if and only if the work is finished in time" is
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