Wilco Placement Paper -: Quantitative and Analytical Reasoning Questions And Answers

Wilco Previous Years Solved Sample Placement Papers

1. If the angle between the vectors **a** and **b** is π/3, what is the angle between -5**a** and 6**b**?

   (a) π/6

   (b) 2π/3 (Ans)

   (c) 2π/5

   (d) 3π/7

2. What is the degree of the differential equation d²y/dx² - √(1 + (dy/dx)³) = 0?

   (a) 1 (Ans)

   (b) 2

   (c) 3

   (d) 6

3. If ∫x²/nx dx = x³/m nx + x³/n + c, then what are the values of m and n respectively?

   (a) 1/3, -1/9

   (b) 3, -9 (Ans)

   (c) 3, 9

   (d) 3, 3

4. What is the principal value of cosec⁻¹(-√2)?

   (a) π/4

   (b) π/2

   (c) -π/4 (Ans)

   (d) 0

5. Two liquids A and B are in the ratio 5:1 in container 1 and in container 2, they are in the ratio 1:3. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1:1?
   

   (a) 2:3

   (b) 4:3

   (c) 3:2

   (d) 3:4 (Ans: D)

6. A closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is painted on the inside. The cost of painting is Rs 70. What is the rate of painting in rupees per sq. cm?
   

   (a) 0.7

   (b) 0.5

   (c) 0.1

   (d) 0.2 (Ans: C)

7. Find the grammatical error in the sentence:
   A. I have got
   B. my M.Sc. degree
   C. in 1988.
   D. No error.
   (Ans: A)
8. Pick out the most effective word(s) to fill in the blank:
   The grapes are now _______ enough to be picked.
   (a) ready
   (b) mature
   (c) ripe (Ans)
   (d) advanced
   
9. What is the best data type definition for Oracle when a field is alphanumeric and has a length that can vary?
   (A) VARCHAR2
   (B) CHAR
   (C) LONG
   (D) NUMBER
   Ans: A
   


10. The entity integrity rule states that:
    (A) No primary key attribute may be null.
    (B) No primary key can be composite.
    (C) No primary key may be unique.
    (D) No primary key may be equal to a value in a foreign key.
    Ans: A
    



11. What would be the Prefix notation for the given equation? A+(B*C)
    (a) +A*CB
    (b) *B+AC
    (c) +A*BC
    (d) *A+CB
    Answer: (c)
    Explanation: Reverse the equation or scan from right to left. Apply the infix-to-postfix algorithm. Inside the brackets, the result is CB*, and outside the brackets, it is A+. Reversing gives +A*BC.

12. What would be the Prefix notation for the given equation? (A*B)+(C*D)
    (a) +*AB*CD
    (b) *+AB*CD
    (c) **AB+CD
    (d) +*BA*CD
    Answer: (a)
    Explanation: Reverse the equation or scan from right to left. Apply the infix-to-postfix algorithm. Brackets evaluate to DC* and BA*, resulting in +*AB*CD after reversal.

13. What would be the Prefix notation for the given equation? A+B*C^D
    (a) +A*B^CD
    (b) +A^B*CD
    (c) *A+B^CD
    (d) ^A*B+CD
    Answer: (a)
    Explanation: Reverse the equation or scan from right to left. Apply the infix-to-prefix algorithm. The order of precedence is +* and ^. The reversed expression evaluates to +A*B^CD.

14. A keyboard is this kind of device—
    

    (A) black

    (B) input

    (C) output

    (D) word Processing

    (E) None of these

    Answer: (B) input
15. IT stands for—
    

    (A) information Technology

    (B) integrated Technology

    (C) intelligent Technology

    (D) interesting Technology

    (E) None of these

    Answer: (A) information Technology
16. Which of the following refers to the fastest, biggest and most expensive computers?
    

    (A) Personal Computers

    (B) Supercomputers

    (C) Laptops

    (D) Notebooks

    (E) None of these

    Answer: (B) Supercomputers