Mettl Quantitative Aptitude and Reasoning 4 — Questions and Answers
Question 1: The simple interest on $5,000 at 8% per annum for 3 years is:
- $1,000
- $1,200 (Correct answer)
- $1,400
- $1,600
Correct answer: $1,200
SI = P × R × T / 100 = 5000 × 8 × 3 / 100 = $1,200.
Question 2: A cube has a volume of 125 cm³. What is the total surface area of the cube?
- 100 cm²
- 125 cm²
- 150 cm² (Correct answer)
- 175 cm²
Correct answer: 150 cm²
Side = ∛125 = 5 cm; surface area = 6 × 5² = 150 cm².
Question 3: In a coding system, APPLE is coded as BQQMF. How is MANGO coded?
- NBOIP
- NBOHP (Correct answer)
- NBOHO
- NCOHP
Correct answer: NBOHP
Each letter is shifted forward by 1 in the alphabet, so M→N, A→B, N→O, G→H, O→P = NBOHP.
Question 4: A clock shows 3:15. What is the angle between the hour and minute hands?
- 0°
- 7.5° (Correct answer)
- 15°
- 22.5°
Correct answer: 7.5°
At 3:15, minute hand is at 90°; hour hand is at 90+15×0.5 = 97.5°; angle = 7.5°.
Question 5: If ΔABC ∼ ΔDEF and AB:DE = 2:3, then the ratio of their areas is:
- 2:3
- 4:9 (Correct answer)
- 8:27
- 4:6
Correct answer: 4:9
The ratio of areas of similar triangles equals the square of the ratio of corresponding sides: (2/3)² = 4/9.
Question 6: A sequence follows the rule: each term = sum of the two preceding terms. If the 5th term is 12 and the 6th term is 20, what is the 4th term?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
6th = 5th + 4th → 20 = 12 + 4th → 4th = 8.
Question 7: If 2x + 3y = 12 and 3x + 2y = 13, then x + y = ?
- 4
- 5 (Correct answer)
- 6
- 7
Correct answer: 5
Adding both equations: 5x + 5y = 25 → x + y = 5.
Mettl Quantitative Aptitude and Reasoning 4
The simple interest on $5,000 at 8% per annum for 3 years is: