Problem Solving MCQ Set 23

Question: If (x + 2)² = 9 and (y + 3)2 = 25, then the maximum value of x / y is

1. 1 / 2
2. 5 / 2
3. 5 / 8
4. 1 / 8

Question: If p and q are the roots of the equation x² - bx + c = 0, then what is the equation if the roots are (pq + p + q) and (pq - p - q)?

1. x² - 2cx + (c² - b²) = 0
2. x² - 2bx + (b² + c²) = 0
3. Bcx² - 2(b+c)x + c² = 0
4. x² + 2bx - (c² - b²) = 0

Question: A piece of equipment cost a certain factory Rs. 600,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?

1. 2,00,000
2. 1,05,000
3. 4,05,000
4. 6,50,000

Question: Solve the inequality 33x-2 > 1

1. x > 1
2. x > 3
3. x > 2/3
4. x > 1/3

Question: The largest number amongst the following that will perfectly divide 101100 - 1 is

1. 100
2. 10000
3. 100¹⁰⁰
4. 100000

Question: What is the highest power of 7 in 5000!? (5000! means factorial 5000)

1. 4998
2. 714
3. 832
4. 816