Onmobile Placement Paper -: Technical Questions With Answers

Onmobile Previous Years Solved Sample Placement Papers

1. If w is a complex cube root of unity and x = w² - w - 2, then what is the value of x² + 4x + 7?

   A) -2

   B) -1

   C) 0 (Ans)

   D) 1

2. If cos x ≠ -1, then what is sin x / (1 + cos x) equal to?

   A) cot x/2

   B) cot x/2

   C) tan x/2 (Ans)

   D) -tan x/2

3. The angle of elevation of the tip of a flag post from a point 5 m away from its base is 75°. What is the approximate height of the flag post?

   A) 15 m

   B) 17 m

   C) 19 m (Ans)

   D) 21 m

4. If A = P {1, 2} where P denotes the power set, then which one of the following is correct?

   A) {1, 2} Ì A

   B) 1 Î A

   C) φ Ï A

   D) {1, 2} Î A (Ans)

5. If 'eraser' is called 'box', 'box' is called 'pencil', 'pencil' is called 'sharpener', and 'sharpener' is called 'bag', what will a child write with?
   

   (a) Eraser

   (b) Bag

   (c) Pencil

   (d) Sharpener

   (Ans: D)
6. A told B that C is his father's nephew. D is A's cousin but not the brother of C. What relationship is there between D and C?
   

   (a) Father

   (b) Sisters

   (c) Aunt

   (d) Mother

   (Ans: D)
7. A, B, C, D, E, F and G are members of a family consisting of four adults and three children, two of whom, F and G are girls. A and D are brothers and A is a doctor. E is an engineer married to one of the brothers and has two children. B is married to D and G is their child. Who is C?
   

   (a) E's daughter

   (b) F's father

   (c) G's brother

   (d) A's son

   (Ans: D)
8. If 6 men can complete a work in 15 hours, how many hours will it take if 10 men working at the same speed complete the work?
   

   a) 7

   b) 8

   c) 9

   d) 10

   Answer: c) 9

9. Let O(0, 0, 0), P(3, 4, 5), Q(m, n, r), and R(1, 1, 1) be the vertices of a parallelogram taken in order. What is the value of m + n + r?

   A) 6

   B) 12

   C) 15 (Ans)

   D) More than 15

10. What is the solution of the differential equation 3e^x tan y dx + (1 + e^x) sec² y dy = 0?

    A) (1 + e^x) tan y = c

    B) (1 + e^x)³ tan y = c

    C) (1 + e^x)² tan y = c

    D) (1 + e^x) sec² y = c (Ans)

    Where c is a constant of integration

11. What is the locus of points, the difference of whose distance from two points being constant?

    A) Pair of straight lines

    B) An ellipse

    C) A hyperbola (Ans)

    D) A parabola

12. What is the differential equation for y² = 4a(x - a)?

    A) yy' - 2xyy' + y² = 0

    B) yy'(yy' + 2x) + y² = 0

    C) yy'(yy' - 2x) + y² = 0 (Ans)

    D) yy' - 2xyy' + y = 0

13. If (4, 0) and (-4, 0) are the foci of an ellipse and the semi-minor axis is 3, then the ellipse passes through which one of the following points?

    A) (2, 0)

    B) (0, 5)

    C) (0, 0)

    D) (5, 0) (Ans)

14. Under what condition do the planes bx - ay = n, cy - bz = l, az - cx = m intersect in a line?

    A) a + b + c = 0

    B) a = b = c

    C) al + bm + cn = 0 (Ans)

    D) l + m + n = 0

15. On the day the Barton triplets are born, Jenna weighs more than Jason. Jason weighs less than Jasmine. Of the three babies, Jasmine weighs the most. If the first two statements are true, the third statement is
    

    a. true.

    b. false.

    c. uncertain.

    Answer: a. true.