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
71
Evaluate: 125^(1/3)
Answer:
5
Raising to the power of 1/3 means finding the cube root. The cube root of 125 is 5, since 5 cubed (5 * 5 * 5) is equal to 125.
72
Calculate: 100^(1/2)
Answer:
10
The exponent 1/2 is equivalent to the principal square root. The square root of 100 is 10, because 10 * 10 = 100.
73
What is 81^(1/4)?
Answer:
3
Raising to the 1/4 power means taking the fourth root. The number that multiplies by itself 4 times to equal 81 is 3 (3 * 3 * 3 * 3 = 81).
74
Evaluate: 64^(1/3)
Answer:
4
The fractional power 1/3 translates to the cube root. The cube root of 64 is 4, since 4^3 (or 4 * 4 * 4) equals 64.
75
Calculate: 32^(1/5)
Answer:
2
An exponent of 1/5 asks for the fifth root of the number. The fifth root of 32 is 2, because multiplying 2 by itself five times yields 32.
76
What is the value of 25^(1/2)?
Answer:
5
The power of 1/2 corresponds to the square root of the number. The square root of 25 is 5, as 5 multiplied by itself equals 25.
77
Evaluate: 27^(1/3)
Answer:
3
An exponent of 1/3 means calculating the cube root. Since 3 * 3 * 3 = 27, the cube root of 27 is 3.
78
Calculate: 8^(1/3)
Answer:
2
Raising a number to the power of 1/3 is the same as finding its cube root. The cube root of 8 is 2, because 2^3 = 8.
79
Evaluate: 16^(1/4)
Answer:
2
An exponent of 1/4 indicates the fourth root of the base. The fourth root of 16 is 2, since 2 * 2 * 2 * 2 equals 16.
80
Evaluate: 9^(1/2)
Answer:
3
A fractional exponent of 1/2 is equivalent to taking the square root. The square root of 9 is 3, because 3 * 3 = 9.