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
61
What is the cube root of 1000?
Answer:
10
The cube root of 1000 requires finding the base that creates 1000 when multiplied by itself three times. 10 * 10 * 10 equals 1000, so the answer is 10.
62
Calculate: cbrt(512)
Answer:
8
To evaluate the cube root of 512, we identify the number that gives 512 when cubed. Since 8 * 8 * 8 = 512, the answer is 8.
63
What is the cube root of 343?
Answer:
7
The cube root of 343 is a number that, when raised to the third power, yields 343. That number is 7, because 7^3 = 343.
64
Evaluate: cbrt(216)
Answer:
6
We need to find a number whose cube is 216. Since 6 * 6 * 6 equals exactly 216, the cube root of 216 is 6.
65
Find the value of cbrt(64) (cube root of 64)
Answer:
4
The cube root operation finds a number that multiplies by itself three times to get the original number. Since 4 * 4 * 4 = 64, the cube root is 4.
66
Calculate: sqrt(121)
Answer:
11
Finding the square root of 121 means identifying what positive number squared gives 121. The answer is 11, because 11 * 11 = 121.
67
What is the value of sqrt(144)?
Answer:
12
Since 144 is a perfect square, its square root is an integer. 12 multiplied by 12 gives 144, making 12 the correct answer.
68
Calculate: sqrt(64)
Answer:
8
The principal square root of 64 is the positive number that yields 64 when squared. Since 8^2 is 64, sqrt(64) equals 8.
69
Find the value of sqrt(49)
Answer:
7
Evaluating the square root of a perfect square like 49 requires finding the number that multiplies by itself to get 49, which is exactly 7.
70
Find the value of sqrt(36)
Answer:
6
The square root function finds a number that, when squared, equals the value inside. Because 6 * 6 = 36, the square root of 36 is 6.