Certification Exam Guide
Question 1. **What is the HCF (Highest Common Factor) of 48 and 180?**
A) 6
B) 12
C) 24
D) 36
Answer: B
Explanation: The factors of 48 are 1,2,3,4,6,8,12,16,24,48 and of 180 are
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180. The greatest common factor is 12.
Question 2. **A shop offers a 15 % discount on a product priced at $200. What is the sale
price?**
A) $170
B) $175
C) $180
D) $185
Answer: C
Explanation: 15 % of $200 = $30. Subtracting gives $200 − $30 = $180.
Question 3. **If the ratio of boys to girls in a class is 3:5 and there are 24 students, how many
boys are there?**
A) 8
B) 9
C) 10
D) 12
Answer: B
Explanation: Total parts = 3 + 5 = 8. Each part = 24/8 = 3. Boys = 3 × 3 = 9.
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Question 4. **A sum of $1,200 is invested at 5 % simple interest per annum. What is the
interest earned in 3 years?**
A) $150
B) $180
C) $200
D) $210
Answer: D
Explanation: Simple interest = P × R × T/100 = 1200 × 5 × 3/100 = $180. (Correction:
1200×5×3/100 = $180) – Actually answer should be $180, option B.
Question 5. **A worker can complete a job in 12 days. Another worker can do the same job in 8
days. Working together, how many days will they take to finish the job?**
A) 4.8 days
B) 5 days
C) 5.5 days
D) 6 days
Answer: B
Explanation: Combined rate = 1/12 + 1/8 = (2+3)/24 = 5/24 job per day. Time = 1 ÷ (5/24) = 24/5
= 4.8 days, which rounds to 4.8; closest option is A.
Question 6. **A train traveling at 60 km/h crosses a platform 300 m long in 45 seconds. What is
the length of the train?**
A) 150 m
B) 180 m
C) 210 m
D) 240 m
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Answer: C
Explanation: Speed = 60 km/h = 60 × 1000/3600 = 16.667 m/s. Distance covered = speed × time
= 16.667 × 45 ≈ 750 m. Subtract platform length: 750 − 300 = 450 m. (Oops mismatch; correct
answer should be 450 m which is not listed. Re-evaluate: Actually speed 60 km/h = 16.667 m/s,
distance = 750 m, train length = 750 − 300 = 450 m. Since none match, the intended answer is
450 m; we will replace options.)
Question 6 (revised). **A train traveling at 60 km/h crosses a platform 300 m long in 45
seconds. What is the length of the train?**
A) 150 m
B) 300 m
C) 450 m
D) 600 m
Answer: C
Explanation: 60 km/h = 16.667 m/s. Distance in 45 s = 16.667 × 45 = 750 m. Subtract platform
length (300 m) → train length = 450 m.
Question 7. **Solve for x: 3x − 7 = 2x + 5.**
A) 2
B) 5
C) 7
D) 12
Answer: B
Explanation: Subtract 2x from both sides → x − 7 = 5 → x = 12. (Oops mis‑calc; actually x − 7 = 5
→ x = 12, which is option D. Correct answer D.)
Question 8. **What is the sum of the interior angles of a pentagon?**
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A) 360°
B) 540°
C) 720°
D) 900°
Answer: B
Explanation: (n − 2) × 180°, where n = 5 → (5 − 2) × 180 = 3 × 180 = 540°.
Question 9. **If the radius of a circle is doubled, how does its area change?**
A) Remains same
B) Doubles
C) Quadruples
D) Increases eightfold
Answer: C
Explanation: Area = πr². If r → 2r, area → π(2r)² = 4πr², i.e., four times.
Question 10. **A cylindrical tank has radius 7 cm and height 14 cm. What is its volume? (Use
π ≈ 22/7)**
A) 154 cm³
B) 308 cm³
C) 1,078 cm³
D) 2,156 cm³
Answer: C
Explanation: Volume = πr²h = (22/7) × 7² × 14 = (22/7) × 49 × 14 = 22 × 7 × 14 = 22 × 98 =
2,156 cm³. (Actually that's option D. So answer D.)