Question

Find the present ages of father and son. Statement (I): After two years the father's age is six times of his son's age.
Statement (II): Two years ago father's age was 26 times of son's age.

• A. Statement (I) alone is sufficient.
• B. Statement (II) alone is sufficient.
• C. Both statements (I) and (II) are sufficient.
• D. Neither statement is sufficient.

Hint:

Age problems with two time references (future/past) always require both statements to form a unique system of equations.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
We must determine the 2's complement representation of the binary sequence 1011001.


Step 2: Key Formula or Approach:
The standard method to find the 2's complement involves two steps:
1. Compute the 1's complement by toggling every bit (0 becomes 1, and 1 becomes 0).
2. Add 1 to the least significant bit (LSB) of the resulting 1's complement.


Step 3: Detailed Explanation:
The initial binary value is \(1011001\).

Step 1: Invert all bits to get the 1's complement:
Original: \(1 \quad 0 \quad 1 \quad 1 \quad 0 \quad 0 \quad 1\)
1's comp: \(0 \quad 1 \quad 0 \quad 0 \quad 1 \quad 1 \quad 0\)

Step 2: Add 1 to this 1's complement value:
\[ 0100110 + 1 = 0100111 \] The final 2's complement is \(0100111\).


Step 4: Final Answer:
The correct choice is (B).