PI - Cognitive Assessment Value Comparison Problems Questions and Answers — Questions and Answers
Question 1: Which of the following has the smallest value?
- 3/8
- 0.38
- 4/11 (Correct answer)
- 0.40
Correct answer: 4/11
To compare the values, convert all options to decimals. 3/8 = 0.375. 0.38 remains 0.38. 4/11 is approximately 0.3636. 0.40 remains 0.40. Comparing the decimals (0.375, 0.38, 0.364, 0.40), the smallest value is 0.3636, which corresponds to 4/11.
Question 2: A team is evaluating four project proposals based on their potential return on investment (ROI). Which proposal offers the highest potential ROI?
- Project A: 2/3 ROI
- Project B: 65% ROI
- Project C: 0.67 ROI
- Project D: 7/10 ROI (Correct answer)
Correct answer: Project D: 7/10 ROI
To find the highest ROI, convert all values to a common format, like decimals. Project A (2/3) is approximately 0.667. Project B (65%) is 0.65. Project C is 0.67. Project D (7/10) is 0.70. Comparing the values, 0.70 is the highest, making Project D the best option.
Question 3: Which of the following has the largest value?
- 1 - 1/8
- 1 - 1/5
- 1 - 1/9 (Correct answer)
- 1 - 1/4
Correct answer: 1 - 1/9
This question asks for the largest value. When subtracting a fraction from 1, the smallest fraction will result in the largest remaining value. Comparing the fractions: 1/9 is the smallest fraction among the options (1/9 ≈ 0.111, 1/8 = 0.125, 1/5 = 0.20, 1/4 = 0.25). Therefore, subtracting the smallest fraction (1/9) from 1 yields the largest result.
Question 4: Identify the number with the lowest value from the options provided.
- 0.525
- 2/5 (Correct answer)
- 0.5
- 6/11
Correct answer: 2/5
To find the lowest value, convert all options to decimals. 0.525 is already a decimal. 2/5 = 0.4. 0.5 is already a decimal. 6/11 is approximately 0.545. Comparing the decimals (0.525, 0.4, 0.5, 0.545), the lowest value is 0.4, which is 2/5.
Question 5: A quality control inspector is checking the weight of four items. Which of the following items has the greatest weight?
- Item A: 0.85 kg
- Item B: 8/9 kg (Correct answer)
- Item C: 7/8 kg
- Item D: 80% of 1 kg
Correct answer: Item B: 8/9 kg
Convert all weights to decimals to find the greatest value. Item A is 0.85 kg. Item B (8/9 kg) is approximately 0.889 kg. Item C (7/8 kg) is 0.875 kg. Item D (80% of 1 kg) is 0.80 kg. Comparing the values, 0.889 is the greatest, so Item B has the greatest weight.
Question 6: Which of the following expressions results in the smallest value?
- 25% of 58 (Correct answer)
- 1/3 of 48
- 0.2 * 75
- 5 * 3.1
Correct answer: 25% of 58
Calculate the value of each expression to compare them. 25% of 58 = 0.25 * 58 = 14.5. 1/3 of 48 = 16. 0.2 * 75 = 15. 5 * 3.1 = 15.5. Comparing the results (14.5, 16, 15, 15.5), the smallest value is 14.5.
Which of the following has the smallest value?