Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
101
By investing in a 15% stock of Rs. 100 at Rs. 125, what is the actual return on investment percentage?
Answer:
12%
Actual return or Yield% = (Dividend / Investment) × 100. Dividend = Rs. 15. Market Value = Rs. 125. Yield% = (15 / 125) × 100 = 12%.
102
What rate percent does an investor get on his money if he invests in a 9% stock of Rs. 100 at Rs. 72?
Answer:
12.5%
The rate percent on money means Yield%. Dividend per share = Rs. 9. Market Value = Rs. 72. Yield% = (9 / 72) × 100 = 100 / 8 = 12.5%.
103
To secure an annual income of Rs. 900 from a 12% stock of Rs. 100 available at Rs. 130, how much money should be invested?
Answer:
Rs. 9,750
Dividend per share = 12% of 100 = Rs. 12. Shares needed = 900 / 12 = 75 shares. Total investment = 75 × 130 = Rs. 9,750.
104
If an investor wants an income of Rs. 1,200 from an 8% stock of Rs. 100 quoting at Rs. 90, what is the required investment?
Answer:
Rs. 13,500
Dividend per share = 8% of 100 = Rs. 8. Number of shares needed = 1200 / 8 = 150 shares. Total investment = 150 × 90 = Rs. 13,500.
105
A man desires an annual income of Rs. 1,000 from a 10% stock of Rs. 100 available at Rs. 115. How much must he invest?
Answer:
Rs. 11,500
Dividend per share = 10% of 100 = Rs. 10. Shares needed to get Rs. 1000 income = 1000 / 10 = 100 shares. Investment required = 100 shares × Rs. 115 = Rs. 11,500.
106
Determine the annual income derived from 'Rs. 12,000 of 11% stock'.
Answer:
Rs. 1,320
The income or dividend is calculated entirely on the total Face Value. Income = 11% of Rs. 12,000 = (11/100) × 12000 = Rs. 1,320.
107
What is the annual income from 'Rs. 6,000 of 9% stock'?
Answer:
Rs. 540
Income is a direct percentage of the total Face Value held. Income = 9% of Total Face Value = 9% of 6000 = (9/100) × 6000 = Rs. 540.
108
Find the cost of purchasing 'Rs. 8,000 of 12% stock' at Rs. 95. (Assume Face Value = Rs. 100).
Answer:
Rs. 7,600
Total Face Value = Rs. 8,000. Number of shares = 8000 / 100 = 80 shares. Cost (Investment) = 80 × 95 = Rs. 7,600.
109
Calculate the actual investment required to purchase 'Rs. 5,000 of 8% stock' at Rs. 110. (Assume Face Value = Rs. 100).
Answer:
Rs. 5,500
Total Face Value = Rs. 5,000. Number of shares = 5000 / 100 = 50 shares. Investment = Number of shares × Market Value = 50 × 110 = Rs. 5,500.
110
In the phrase 'investing in Rs. 4,000 of 10% stock at 90', what does 'Rs. 4,000' represent?
Answer:
The total Face Value of the stock purchased
The phrasing 'Rs. X of a stock' signifies that the cumulative Face Value of the shares held is Rs. X. It is not the market investment. The investment would be calculated based on the market price (90).