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
131
Find the market value of a 10% stock of Rs. 100 yielding 8%, if brokerage is Rs. 2 per share.
Answer:
Rs. 123
Yield% = (Dividend / Total Cost) × 100. 8 = (10 / Total Cost) × 100. Total Cost = 1000 / 8 = Rs. 125. Since Total Cost = Market Value + Brokerage, 125 = Market Value + 2. Thus, Market Value = Rs. 123.
132
A man buys Rs. 100 shares paying a 9% dividend at Rs. 88. Brokerage is Rs. 2 per share. If his total investment is Rs. 4,500, find his total income.
Answer:
Rs. 450
Cost per share = 88 + 2 = Rs. 90. Number of shares = 4500 / 90 = 50 shares. Dividend per share = 9% of 100 = Rs. 9. Total income = 50 × 9 = Rs. 450.
133
Find the net proceeds if 300 shares of Rs. 10 are sold at Rs. 12 each, with a brokerage of Rs. 0.50 per share.
Answer:
Rs. 3,450
Sale value per share = 12 - 0.50 = Rs. 11.50. Net proceeds = 300 × 11.50 = Rs. 3,450.
134
A person sells 50 shares of Rs. 100 each at Rs. 125. If the brokerage is Rs. 2 per share, find the total cash realized.
Answer:
Rs. 6,150
Sale value per share = Market Value - Brokerage = 125 - 2 = Rs. 123. Total cash realized = 50 × 123 = Rs. 6,150.
135
What is the yield on a 12% stock of Rs. 50 purchased at Rs. 58 with a brokerage of Rs. 2 per share?
Answer:
10%
Total cost per share = 58 + 2 = Rs. 60. Dividend per share = 12% of 50 = Rs. 6. Yield% = (6 / 60) × 100 = 10%.
136
Find the yield on an 8% stock of Rs. 100 purchased at Rs. 79, incurring a brokerage of Rs. 1 per share.
Answer:
10%
Total cost per share = 79 + 1 = Rs. 80. Dividend per share = Rs. 8. Yield% = (8 / 80) × 100 = 10%.
137
Calculate the yield on a 10% stock of Rs. 100 purchased at Rs. 123, with a brokerage fee of Rs. 2 per share.
Answer:
8%
Total cost per share = Market Value + Brokerage = 123 + 2 = Rs. 125. Dividend per share = Rs. 10. Yield% = (Dividend / Total Cost) × 100 = (10 / 125) × 100 = 8%.
138
A man invests Rs. 5,200 in an 8% stock of Rs. 100 at Rs. 102, paying Rs. 2 per share as brokerage. What is his total income?
Answer:
Rs. 400
Cost per share = 102 + 2 = Rs. 104. Number of shares = 5200 / 104 = 50 shares. Dividend per share = 8% of 100 = Rs. 8. Total income = 50 × 8 = Rs. 400.
139
Find the annual income derived from an investment of Rs. 12,000 in a 10% stock of Rs. 100 at Rs. 118, where brokerage is Rs. 2 per share.
Answer:
Rs. 1,000
Cost per share = Market Value + Brokerage = 118 + 2 = Rs. 120. Number of shares = 12000 / 120 = 100 shares. Dividend per share = 10% of 100 = Rs. 10. Total income = 100 × 10 = Rs. 1,000.
140
An investor spends Rs. 8,900 on Rs. 100 shares at a market price of Rs. 88. With a brokerage of Rs. 1 per share, how many shares are bought?
Answer:
100
Cost per share = Market Value + Brokerage = 88 + 1 = Rs. 89. Number of shares = Total Investment / Cost per share = 8900 / 89 = 100 shares.