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So I am providing sample question paper for Elitmus pH Test for your reference:

Elitmus pH Test Sample Question Paper
1. The set of all integers x such that |x – 3| < 2 is equal to
A. {1, 2, 3, 4, 5} B. {1, 2, 3, 4} C. {2, 3, 4} D. {-4, -3, -2}

2. The Range of the function f(x) = (x - 2) / (2 - x) is
A. R B. R – {1} C. (-1) D. R – {-1}

The sixth term of a HP is 1/61 and the 10th term is 1/105. The first term of the H.P. is
A. 1/39 B. 1/28 C. 1/17 D. 1/6

8. Let Sn denote the sum of first n terms of an A.P..If S2n = 3Sn, then the ratio S3n / 5n is equal to
A. 4 B. 6 C. 8 D. 10

Solution of |3 – x| = x – 3 is
A. x < 3 B. x > 3 C. x ≥ 3 D. x ≤ 3

If the product of n positive numbers in 1, then their sum is
A. a positive integer B. divisible by n C. equal to n + (1 / n) D. never less than n

A lady gives a dinner party to six quests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is
A. 112 B. 140 C. 164 D. None of these

If x is very large and n is a negative integer or a proper fraction, then an approximate value of ((1 + X) / x )n is
A. 1 + x / n B. 1 + n / x C. 1 + 1 / x D. n(1 + 1 / x)

If sinθ + cosθ = √2sinθ, then
A. √2 cosθ B. − √2 sinθ C. − √2 cosθ D. None of these

If sinθ + cosecθ = 2, then value of sin3θ + cosec3θ is
A. 2 B. 4 C. 6 D. 8

If cosecθ + cot θ = 5 / 2 , then the value of tanθ is
A. 15 / 16 B. 21 / 20 C. 15 / 21 D. 20 / 21

If length of the sides AB, BC and CA of a triangle are 8cm, 15 cm and 17 cm respectively, then length of the angle bisector of ∠ABC is
A. 120 √2 / 23cm B. 60 √2 / 23cm C. 30 √2 / 23cm D. None of these

A man from the top of a 100 metre high tower sees a car moving towards the tower at an angle of depression of 300. After sometimes, the angle of depression becomes 600. The distance (in metres) traveled by the car during this time is
A. 100 √3 B. 200 √3 / 3 C. 100 √3 / 3 D. 200 √3

The shadow of a tower of height (1 + √3) metre standing on the ground is found to be 2 metre longer when the sun’s elevation is 300, then when the sun’s elevation was
A. 300 B. 450 C. 600 D. 750

The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is
A. 7 / 2 B. 7 / 3 C. 7 / 5 D. 7 / 10

The straight lines x + y – 4 = 0, 3x + y – 4 = 0, x + 3y – 4 = 0 form a traigle which is
A. isosceles B. right angled C. equilateral D. None of these

Incentre of the triangle whose vertices are (6, 0) (0, 6) and (7, 7) is
A. (9 / 2 , 9 / 2) B. (7 / 2 , 7 / 2) C. (11 / 2 , 11 / 2) D. None of these

The area bounded by the curves y = |x| − 1 and y = − |x| + 1 is
A. 1 B. 2 C. 2 √2 D. 4

The coordinates of foot of the perpendicular drawn from the point (2, 4) on the line x + y = 1 are
A. (1 / 2 , 3 / 2) B. (-1 / 2 , 3 / 2) C. (3 / 2 , -1 / 2) D. (-1 / 2 , -3 / 2)

Three lines 3x + 4y + 6 = 0, 2x 3y 2 2 0 + + = and 4x 7y 8 0 + + = are
A. Parallel B. Sides of a triangles C. Concurrent D. None of these

Centre of circle whose normals are x2 - 2xy - 3x + 6y = 0 is
A. (3 , 3 / 2) B. (3 / 2 , 3) C. (−3 , 3 / 2) D. (-3 , -3 / 2)

The line y = mx + 1 is a tangent to the parabola y2 = 4x if
A. m = 1 B. m = 2 C. m = 3 D. m = 4

If a circle cuts rectangles hyperbola xy = 1 in the point (xi, yi), i = 1, 2, 3, 4 then
A. x1x2x3x4 = 0 B. y1y2y3y4 = 1 C. y1y2y3y4 = 0 D. x1x2x3x4 = -1