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🔹 ১. বাংলাদেশের ব্যাংকের ১৩তম গভর্নর কে?
Who is the 13th Governor of Bangladesh Bank?

✅ উত্তর/Answer:
ড. মোহাম্মদ জাহাঙ্গীর আলম
Dr. Mohammad Jahangir Alam

🔹 ২. রয়্যাল জাতীয় সংসদের স্পিকার কে?
Who is the Speaker of the Royal National Parliament?

✅ উত্তর/Answer:
কাজী তৌফিক আহমদ
Kazi Toufiq Ahmed

🔹 ৩. বাংলাদেশ সবচেয়ে বেশি এলএনজি আমদানি করে কোন দেশ থেকে?
From which country does Bangladesh import the highest amount of LNG?

✅ উত্তর/Answer:
কাতার
Qatar

🔹 ৪. ৪ মার্চ ২০২৬ অনুষ্ঠিত মহাকাশ মিশনের রকেটের নাম কী?
What was the rocket name of the space mission held on 4 March 2026?

✅ উত্তর/Answer:
স্টারশিপ
Starship

🔹 ৫. লেবাননের নতুন প্রেসিডেন্ট কে?
Who is the new President of Lebanon?

✅ উত্তর/Answer:
জোসেফ আউন
Joseph Aoun

🔹 ৬. ইসরায়েলের বর্তমান প্রধানমন্ত্রী কে?
Who is the current Prime Minister of Israel?

✅ উত্তর/Answer:
বেনিয়ামিন নেতানিয়াহু
Benjamin Netanyahu

🔹 ৭. ২১তম G20 শীর্ষ সম্মেলন কবে অনুষ্ঠিত হবে?
When will the 21st G20 Summit be held?

✅ উত্তর/Answer:
১৪–১৫ নভেম্বর ২০২৬
14–15 November 2026

🔹 ৮. ২১তম G20 শীর্ষ সম্মেলন কোথায় অনুষ্ঠিত হবে?
Where will the 21st G20 Summit be held?

✅ উত্তর/Answer:
রিয়াদ, সৌদি আরব
Riyadh, Saudi Arabia

🔹 ৯. বৈশ্বিক ভয় সূচকে শীর্ষ দেশ কোনটি?
Which country ranks first in the Global Fear Index?

✅ উত্তর/Answer:
যুক্তরাষ্ট্র
United States

🔹 ১০. বৈশ্বিক সুখ সূচকে শীর্ষ দেশ কোনটি?
Which country ranks first in the World Happiness Index?

✅ উত্তর/Answer:
ফিনল্যান্ড
Finland

🔹 ১১. বর্তমানে বিশ্বের শীর্ষ ধনী কে?
Who is currently the richest person in the world?

✅ উত্তর/Answer:
ইলন মাস্ক
Elon Musk

🔹 ১২. এমএস ও এমআর ব্যক্তি হিসেবে কে মুজিব স্বাধীনতা পুরস্কার লাভ করেন?
Who received the Mujib Independence Award as MS and MR personality?

✅ উত্তর/Answer:
ডা. মো. জাফরুল্লাহ চৌধুরী
Dr. Md. Zafrullah Chowdhury

🔹 ১৩. নিচের কোন ব্যক্তি ২০২৬ সালের স্বাধীনতা পুরস্কার লাভ করেন?
Which person received the Independence Award 2026?

✅ উত্তর/Answer:
হেমা মালদা দিয়া
Hema Malda Diya

🔹 ১৪. ২০২৬ সালের নবম টি-২০ বিশ্বকাপ চ্যাম্পিয়ন হয় কোন দেশ?
Which country became the champion of the 9th T-20 World Cup 2026?

✅ উত্তর/Answer:
ভারত
India

🔹 ১৫. ২০২৬ সালের নবম টি-২০ বিশ্বকাপ ফাইনালে সেরা হন কে?
Who became the best player in the final of the 9th T-20 World Cup 2026?

✅ উত্তর/Answer:
সূর্য সামসন
Surya Samson

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# 📘 Today's Math Lesson
# 🔷 SQUARE 🔷

👩‍🏫 Teaching Method With Shathi Miss

---

# 📖 What is a Square?

A Square is a four-sided shape where:

✔ All sides are equal
✔ All angles are 90°
✔ Opposite sides are parallel

---

# 📐 Figure of Square

```text
Side = 6 cm
┌────────────┐
│ │
│ │
│ │
└────────────┘
```

# 📌 Important Terms

| Term | Meaning |
|---|---|
| Side | Length of each edge |
| Area | Space inside the square |
| Perimeter | Total boundary length |

# 📌 Formulae of Square

# # 🔹 Area Formula

0

Where,

- A = Area
- s = Side

---

# # 🔹 Perimeter Formula

1

Where,

- P = Perimeter
- s = Side

---

# ✏️ Math Example 1

A square has side = 7 cm

# # 🔹 Find the Area

Using formula:

2

= 7²

= 7 × 7

= 49 cm²

✅ Answer: Area = 49 cm²

---

# # 🔹 Find the Perimeter

Using formula:

3

= 4 × 7

= 28 cm

✅ Answer: Perimeter = 28 cm

---

# ✏️ Math Example 2

A square has side = 9 cm

# # 🔹 Find the Area

Using formula:

4

= 9²

= 9 × 9

= 81 cm²

✅ Answer: Area = 81 cm²

# # 🔹 Find the Perimeter

Using formula:

5

= 4 × 9

= 36 cm

✅ Answer: Perimeter = 36 cm

# 🧠 Practice Questions

1️⃣ Side = 5 cm
Find Area and Perimeter.

2️⃣ Side = 11 cm
Find Area.

3️⃣ Side = 8 cm
Find Perimeter.

✔ A square has 4 equal sides.
✔ Area = side × side
✔ Perimeter = 4 × side

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🎓 SSC Examination 2026 | Algebra ( Factories) Important Questions with Detailed Solutions
📘 Teaching Method with Shathi Miss

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✅ Question 1:

Factorize:
4a² + 1/(4a²) − 2

👉 Solution:
This follows identity:
x² + y² − 2xy = (x − y)²

Let, x = 2a and y = 1/(2a)

= (2a)² + (1/2a)² − 2×(2a)(1/2a)
= 4a² + 1/(4a²) − 2

👉 Final Answer:
= (2a − 1/2a)² ✔️

✅ Question 2:

Factorize:
a³ − 9b³ + (a + b)³

👉 Solution:
First expand:
(a + b)³ = a³ + 3a²b + 3ab² + b³

Now substitute:
= a³ − 9b³ + a³ + 3a²b + 3ab² + b³
= 2a³ + 3a²b + 3ab² − 8b³

Group terms:
= (2a³ + 3a²b) + (3ab² − 8b³)
= a²(2a + 3b) + b²(3a − 8b)

👉 Not fully factorable further

✅ Question 3:

Factorize:
ax² + (a + 1)x + a

👉 Solution:
Split middle term:
= ax² + ax + x + a
= a(x² + x) + 1(x + a)

Now take common factor:
= (ax + 1)(x + a) ✔️

✅ Question 4:

Factorize:
a⁴ − 27a² + 1

👉 Solution:
Let a² = x

Then expression becomes:
= x² − 27x + 1

Discriminant:
D = 27² − 4×1×1 = 729 − 4 = 725

👉 Not a perfect square → cannot factor nicely

✅ Question 5:

Factorize:
a² − 1 + 2b − b²

👉 Solution:
Rearrange:
= a² − (b² − 2b + 1)
= a² − (b − 1)²

Use identity:
x² − y² = (x − y)(x + y)

= (a − (b − 1))(a + (b − 1))
= (a − b + 1)(a + b − 1) ✔️

✅ Question 6:

Factorize:
a² + 3a + 3b

👉 Solution:
= a(a + 3) + 3b

👉 No common binomial → Not fully factorable

✅ Question 7:

Factorize:
x² − x − 24

👉 Solution:
Find two numbers whose product = −24 and sum = −1
→ −6 and +4

= x² − 6x + 4x − 24
= x(x − 6) + 4(x − 6)
= (x − 6)(x + 4) ✔️

✅ Question 8:

Factorize:
3a² + 2a + 5

👉 Solution:
Discriminant:
D = 2² − 4×3×5 = 4 − 60 = −56

👉 Negative → Not factorable (no real roots)

✅ Question 9:

Factorize:
a⁸ − a⁴ − 2

👉 Solution:
Let a⁴ = x

Then:
= x² − x − 2

Factor:
= (x − 2)(x + 1)

Substitute back:
= (a⁴ − 2)(a⁴ + 1) ✔️

✅ Question 10:

Factorize:
m⁴ − 27m² + 1

👉 Solution:
Let m² = x

Then:
= x² − 27x + 1

Discriminant:
D = 729 − 4 = 725

👉 Not factorable nicely

🚀 Exam Tips:
✔️ Always check identities first
✔️ Use substitution for higher powers
✔️ Practice grouping method
✔️ Check discriminant for quadratic

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📘 SSC 2026 | Algebra বিস্তারিত সমাধান

🔢 প্রশ্ন: x = (√5 + √2) / 3
y = √5 − √2
Find the value of 3xy(9x² + y²)

━━━━━━━━━━━━━━━━━━

📝 Solution (Step by Step):

Step 1: x = (√5 + √2)/3
⇒ 3x = √5 + √2

y = √5 − √2

━━━━━━━━━━━━━━━━━━

Step 2: 3x + y = (√5 + √2) + (√5 − √2) = 2√5
3x − y = (√5 + √2) − (√5 − √2) = 2√2

━━━━━━━━━━━━━━━━━━

Step 3: 3xy(9x² + y²)

Here,
9x² = (3x)²

So,
= 3xy[(3x)² + y²]

━━━━━━━━━━━━━━━━━━

Step 4 (Shortcut Identity): Use formula:
(a² − b²)(a² + b²)

⇒ 3xy(9x² + y²)
= 1/8 × [(3x+y)² − (3x−y)²] × [(3x+y)² + (3x−y)²]

━━━━━━━━━━━━━━━━━━

Step 5: (3x+y) = 2√5 ⇒ (2√5)² = 20
(3x−y) = 2√2 ⇒ (2√2)² = 8

━━━━━━━━━━━━━━━━━━

Step 6: = 1/8 × (20 − 8)(20 + 8)
= 1/8 × 12 × 28
= 42

━━━━━━━━━━━━━━━━━━

🏆 Final Answer: 42

━━━━━━━━━━━━━━━━━━

💡 Tips: ✔️ Use (a+b)² and (a−b)²
✔️ Don’t expand directly
✔️ Saves time in exam

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Teaching Method with Shathi Miss April 25, 2026