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
141
A man invests Rs. 10,400 in Rs. 100 shares at Rs. 102. If brokerage is Rs. 2 per share, how many shares does he buy?
Answer:
100
Cost per share = Market Value + Brokerage = 102 + 2 = Rs. 104. Number of shares purchased = Total Investment / Cost per share = 10400 / 104 = 100 shares.
142
An individual sells 100 shares of Rs. 100 each at Rs. 110 per share. If the brokerage is Rs. 2 per share, calculate the net proceeds.
Answer:
Rs. 10,800
Sale value per share = Market Value - Brokerage = 110 - 2 = Rs. 108. Net proceeds for 100 shares = 100 × 108 = Rs. 10,800.
143
A person sells 200 shares of Rs. 10 each at Rs. 15 per share. If brokerage is Rs. 0.50 per share, what are the net proceeds?
Answer:
Rs. 2,900
When selling shares, brokerage is deducted from the market value. Sale value per share = Market Value - Brokerage = 15 - 0.50 = Rs. 14.50. Net proceeds = 200 × 14.50 = Rs. 2,900.
144
An investor buys 50 shares of Rs. 100 each at Rs. 90. If brokerage is Rs. 1 per share, calculate his total cost.
Answer:
Rs. 4,550
Cost per share = Market Value + Brokerage = 90 + 1 = Rs. 91. Total cost for 50 shares = 50 × 91 = Rs. 4,550.
145
A man buys 100 shares of Rs. 100 each at a market price of Rs. 120. If brokerage is Rs. 2 per share, find his total investment.
Answer:
Rs. 12,200
When purchasing shares, brokerage is added to the market value. Cost per share = Market Value + Brokerage = 120 + 2 = Rs. 122. Total investment = 100 shares × Rs. 122 = Rs. 12,200.
146
A Rs. 100 stock yields 12.5% when available at Rs. 120. Find its dividend rate.
Answer:
15%
Yield% = (Dividend / Market Value) × 100. 12.5 = (Dividend / 120) × 100. Dividend = (12.5 × 120) / 100 = Rs. 15. For a Rs. 100 stock, this is a 15% dividend rate.
147
A Rs. 10 stock yields 8% when its market price is Rs. 15. What is the declared dividend rate?
Answer:
12%
Yield% = (Dividend amount / Market Value) × 100. 8 = (Dividend / 15) × 100. Dividend amount = 1.20. Dividend Rate% = (1.20 / 10) × 100 = 12%.
148
A Rs. 50 stock yields 10% when its market value is Rs. 60. What is the dividend rate percentage?
Answer:
12%
Yield% = (Dividend amount / Market Value) × 100. 10 = (Dividend / 60) × 100. Dividend amount = Rs. 6. The dividend rate is calculated on the Face Value: Rate% = (6 / 50) × 100 = 12%.
149
A stock of Rs. 100 yields 5% at a market value of Rs. 140. Determine the dividend rate.
Answer:
7%
Yield% = (Dividend / Market Value) × 100. 5 = (Dividend / 140) × 100. Dividend = (5 × 140) / 100 = Rs. 7. Therefore, the dividend rate is 7%.
150
Find the dividend rate of a Rs. 100 stock that yields 12% when its market value is Rs. 75.
Answer:
9%
Yield% = (Dividend / Market Value) × 100. 12 = (Dividend / 75) × 100. Dividend = (12 × 75) / 100 = 900 / 100 = Rs. 9. The dividend rate is 9%.