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
241
Compute: (3/5) * (10/9)
Answer:
2/3
Step 1: Multiply numerators and denominators: (3*10)/(5*9) = 30/45. Step 2: Simplify 30/45 by dividing by 15: 2/3.
242
Compute: (7/8) - (1/4)
Answer:
5/8
Step 1: Convert 1/4 to eighths: 1/4 = 2/8. Step 2: Subtract: 7/8 - 2/8 = 5/8.
243
Compute: (2/3) + (5/6)
Answer:
3/2
Step 1: Find common denominator 6. Step 2: Convert: 2/3 = 4/6. Step 3: Add: 4/6 + 5/6 = 9/6. Step 4: Simplify 9/6 = 3/2.
244
Write 3.2 * 10^3 in standard form.
Answer:
3200
Step 1: 10^3 = 1000. Step 2: Multiply 3.2*1000 = 3200. Step 3: Therefore standard form is 3200.
245
Write 0.00056 in scientific notation.
Answer:
5.6 * 10^-4
Step 1: Move the decimal so the number is between 1 and 10: 5.6. Step 2: Count 4 places to the right to reach 0.00056. Step 3: Therefore 0.00056 = 5.6 * 10^-4 in scientific notation.
246
Find 20% of 150.
Answer:
30
Step 1: 20% = 20/100 = 0.20. Step 2: Multiply 0.20*150 = 30.
247
Which is equivalent to 45%?
Answer:
All of the above
Step 1: 45% = 45 per 100 = 45/100. Step 2: 45/100 = 0.45 in decimal. Step 3: Simplify 45/100 by dividing by 5 to get 9/20. Step 4: All representations are equivalent.
248
Convert 5/4 to decimal form.
Answer:
1.25
Step 1: Divide 5 by 4: 5/4 = 1.25. Step 2: Because 4 goes into 5 once with remainder 1, 1 + 1/4 = 1.25.
249
Convert 0.375 to a fraction in simplest form.
Answer:
3/8
Step 1: 0.375 = 375/1000. Step 2: Simplify by dividing numerator and denominator by 125: 375/1000 = 3/8. Step 3: 3/8 is simplest form.
250
Find the LCM of 4 and 6.
Answer:
12
Step 1: Prime factorize: 4 = 2^2, 6 = 2*3. Step 2: Take highest powers: 2^2*3 = 12. Step 3: Therefore the LCM is 12.