Quiz
1. Decision Making: A company is planning to expand its operations and has shortlisted three cities: A, B, and C. The profitability indices for these cities are 0.6, 0.7, and 0.8, respectively. If the company’s budget allows them to choose only one city, which city should they choose based on profitability?
Solution: The company should choose City C as it has the highest profitability index of 0.8.
2. Calendar: What day of the week was January 1, 2023?
Solution: January 1, 2023, was a Sunday.
3. Series AlphaNumeric: Identify the next term in the series: A2, B4, C8, D16, ?
Solution: The letters follow alphabetical order, and numbers double each time. The next term is E32.
4. Identify the Correct Statement: Which of the following statements is correct?
Solution: Water boils at 100°C at sea level.
5. Binary: Convert the binary number \(10101_2\) to decimal.
Solution: \(10101_2 = 1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 21\).
6. Direction Sense: A person walks 5 km north, then 3 km east, then 2 km south. How far is he from his starting point?
Solution: Using Pythagoras theorem: \(\sqrt{(5 – 2)^2 + 3^2} = \sqrt{9 + 9} = 4\).
7. Clocks: What is the angle between the minute and hour hands of a clock at 3:15?
Solution: The angle is \(15 \times 0.5 = 7.5°\).
8. Number Series: Find the next number in the series: 2, 6, 12, 20, ?
Solution: The difference increases by 2 each time: \(4, 6, 8\). Adding 10 to 20 gives 30.
