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
251
If 1.125 * 10^k = 0.001125, then the corresponding correct value of k revolves at:
Answer:
-3
Diving both structured sides securely by 1.125 yields the equation 10^k = 0.001. A value of 0.001 represents 10^-3, demonstrating effectively that the exponent k equals -3.
252
Which of the following groups of fractions are in descending order of their values?
Answer:
11/17, 7/11, 5/9, 8/15
Evaluating the fractions as decimals: 11/17 ≈ 0.647, 7/11 ≈ 0.636, 5/9 ≈ 0.556, and 8/15 ≈ 0.533. The only sequence strictly decreasing from largest to smallest is provided in option D.
253
Simplify using the power of a power rule: (2^3)^2
Answer:
2^6
When raising a power to another power, you multiply the exponents. Multiplying the inside exponent 3 by the outside exponent 2 yields an exponent of 6, resulting in 2^6.
254
Simplify the expression: (x^4)^3
Answer:
x^12
The power of a power rule dictates that we multiply the inner and outer exponents. Therefore, 4 multiplied by 3 gives 12, making the simplified form x^12.
255
Compute the sum: 999.99 + 99.99 + 9.99
Answer:
1109.97
Since there are three terms, you can add them systematically: 999.99 + 99.99 = 1099.98. Adding 9.99 brings the total final sum to 1109.97.