Free Basic Mathematics: Fractions, Percentages, Ratios and Indices MCQs with Answers
30 Basic Mathematics: Fractions, Percentages, Ratios and Indices MCQs from Quantitative Methods, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Work with fractions includes simplification, conversion, operations and comparison, while percentages cover increases, decreases, profit, loss and reverse percentage calculations. Ratios and proportions describe relationships between quantities, and indices cover laws of exponents, zero and negative powers, fractional indices, and scientific notation.
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30 questions · page 2 of 2
- A. 9/20
- B. 2/5
- C. 5/6
- D. 3/10
Explanation: Multiply the numerators and denominators: 90/300. Reducing this fraction by 30 gives 3/10, while the other options result from incomplete…
Correct answer: 3/10- A. 15/16
- B. 7/15
- C. 16/15
- D. 5/8
Explanation: Division by a fraction means multiplication by its reciprocal, so (7/8) × (15/14) equals 15/16.
Correct answer: 15/16- A. 81
- B. 91
- C. 95
- D. 105
Explanation: Convert 35% to 35/100 and calculate 260 × 35/100 = 91. The nearby values usually result from using an incorrect percentage or arithmetic…
Correct answer: 91- A. Rs. 680
- B. Rs. 710
- C. Rs. 700
- D. Rs. 720
Explanation: Since 12.5% equals one eighth, the reduction is Rs. 100. Subtracting this from Rs. 800 gives a new price of Rs. 700.
Correct answer: Rs. 700- A. 54
- B. 63
- C. 72
- D. 84
Explanation: Four parts represent 28 balls, so one part represents 7 balls. The nine blue parts therefore represent 9 × 7 = 63 balls.
Correct answer: 63- A. 8
- B. 9
- C. 10
- D. 13
Explanation: Every nonzero number raised to the power zero equals 1, and 2³ equals 8. Therefore, the sum is 1 + 8 = 9.
Correct answer: 9- A. 2/3
- B. 4/5
- C. 3/4
- D. 5/6
Explanation: The greatest common divisor of 18 and 24 is 6. Dividing both terms by 6 gives 3/4, whereas the other fractions have different values.
Correct answer: 3/4- A. No change
- B. A 1% increase
- C. A 10% decrease
- D. A 1% decrease
Explanation: Taking an initial salary of 100, the increase gives 110 and the later decrease gives 99.
Correct answer: A 1% decrease- A. Rs. 120
- B. Rs. 108
- C. Rs. 96
- D. Rs. 135
Explanation: One notebook costs Rs. 15 because 45 is divided by 3. Eight notebooks therefore cost 8 × 15 = Rs. 120.
Correct answer: Rs. 120- A. 6
- B. 8
- C. 12
- D. 24
Explanation: Cancel common powers to obtain 2^(4−2) × 3^(2−1), which is 2² × 3 = 12. Treating the bases as one combined power leads to the other results.
Correct answer: 12