PSI Placement Paper -: Quantitative and Analytical Reasoning Questions With Answers

PSI Previous Years Solved Sample Placement Papers

1. Find the area of a circle if its radius is 3
   

   A. 3𝜋

   B. 6𝜋

   C. 9𝜋

   D. 𝜋

   Answer: C
2. What is the value of x if 16 : 24 :: x : 72
   

   A. 48

   B. 12

   C. 72

   D. 24

   Answer: A
3. When 60 is subtracted from 60 % of a number, the resulting number 60 then the number is:
   

   A. 250

   B. 100

   C. 200

   D. 300

   Answer: C
4. What is the value of x if 12/5 = 36/x
   

   A. 17

   B. 16

   C. 15

   D. 14

   Answer: C
5. A man buys a computer for Rs. 7,000 and sells it for 11,500. The % profit is nearly
   

   A. 54%

   B. 58%

   C. 64.3%

   D. 70.6%

   Answer: C
6. A solution is to be prepared by combining chemical X, Y and Z in the ratio of 18 : 3 : 2. How many liters of solution can be prepared by using 36 liter of X?
   

   A. 46L

   B. 47L

   C. 45L

   D. 49L

   Answer: A

7. It is easier for a computer to process a postfix expression than an infix expression.

   a) True

   b) False

   Answer: a

   Explanation: Computers can easily process a postfix expression because a postfix expression keeps track of precedence of operators.

8. What is the postfix expression for the infix expression?

   a-b-c

   a) -ab-c

   b) ab – c –

   c) – -abc

   d) -ab-c

   Answer: b

   Explanation: The corresponding postfix expression for the given infix expression is found to be ab-c- and not abc- -.

9. What data structure is used when converting an infix notation to prefix notation?
   (a) Stack
   (b) Queue
   (c) B-Trees
   (d) Linked-list
   Answer: (a)
   Explanation: To convert infix to prefix, reverse the equation and use the infix-to-postfix algorithm. This process utilizes stacks for operator precedence and association.

10. 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.

11. 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.

12. 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.