Problem Solving MCQ Set 34

Question: How many digits will the number 3²⁰⁰ have if the value of log 3 = 0.4771?

1. 95
2. 94
3. 96
4. None of these

Question: A and B enter in to a partnership and A invests Rs. 10,000 in the partnership. At the end of 4 months he withdraws Rs.2000. At the end of another 5 months, he withdraws another Rs.3000. If B receives Rs.9600 as his share of the total profit of Rs.19,100 for the year, how much did B invest in the company?

1. 12,000
2. 96,000
3. 8000
4. 6000

Question: The sum of the first and the 9th of an arithmetic progression is 24. What is the sum of the first nine terms of the progression?

1. 216
2. 108
3. 54
4. None of these

Question: What is the equation of the line that is parallel to the line 3x + 7y = 10 and passes through the point (4, 8)

1. 7x - 3y = 46
2. 3x + 7y = 44
3. 9x + 21y - 184 = 0
4. 3x + 7y = 68

Question: Ram and Shyam take a vacation at their grandparents' house. During the vacation, they do any activity together. They either played tennis in the evening or practiced Yoga in the morning, ensuring that they do not undertake both the activities on any single day. There were some days when they did nothing. Out of the days that they stayed at their grandparents' house, they involved in one of the two activities on 22 days. However, their grandmother while sending an end of vacation report to their parents stated that they did not do anything on 24 mornings and they did nothing on 12 evenings. How long was their vacation?

1. 36 days
2. 14 days
3. 29 days
4. Cannot be determined.

Question: Ram buys Rs.100 shares at Rs.112. If he sells the shares after a year at Rs.132 after receiving a dividend of 8% just before selling, what is the net yield on his investment?

1. 17.85%
2. 6.06%
3. 32%
4. 25%