SSC CGL Preparation – Day 3

📘 MCQ Set: Simplification and Approximation

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1. Simplify: 48 ÷ 4 × (6 + 3) – 5

A. 103
B. 103.5
C. 103.0
D. 104

Solution:
Step 1: Brackets → (6 + 3) = 9
Step 2: 48 ÷ 4 = 12
Step 3: 12 × 9 = 108
Step 4: 108 – 5 = 103 ✅
Answer: ✅ A

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2. Approximate the value of:

$$\frac{299.8 \times 4.1}{9.8}$$

A. 130
B. 125
C. 120
D. 135

Solution:
≈ $$\frac{300 \times 4}{10} = \frac{1200}{10} = 120$$
Answer: ✅ C

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3. Simplify:

$$\left( \frac{5}{6} + \frac{1}{4} \right) \div \frac{1}{2}$$

A. 2
B. 1.5
C. 3
D. 2.5

Solution:
Step 1: LCM of 6 and 4 = 12
→ $$\frac{10 + 3}{12} = \frac{13}{12}$$
Now divide by 1/2:
$$\frac{13}{12} ÷ \frac{1}{2} = \frac{13}{12} × \frac{2}{1} = \frac{26}{12} = 2.17≈2.2$$

Closest correct integer: 2
Answer: ✅ A

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4. Find approximate value of:

$$\sqrt{1024} + \sqrt{81} + \sqrt{49}$$

A. 70
B. 64
C. 60
D. 62

Solution:
√1024 = 32, √81 = 9, √49 = 7
→ 32 + 9 + 7 = 48
Correct answer not in options. Check again:
Ah! Missed: √1024 = 32 (✅), √81 = 9, √49 = 7
32 + 9 + 7 = 48 ✅
Answer: ❌ None of these (but expected 48, typo in options)

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5. Simplify:

$$(24 × 2) + (36 ÷ 3) – 8$$

A. 56
B. 52
C. 48
D. 50

Solution:
24 × 2 = 48
36 ÷ 3 = 12
48 + 12 – 8 = 52
Answer: ✅ B

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6. Find the approximate value of:

$$(49.8)^2$$

A. 2500
B. 2400
C. 2600
D. 2700

Solution:
≈ (50)^2 = 2500$$
Answer: ✅ A

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7. Simplify:

$$(3.6 + 2.4)^2 – (3.6 – 2.4)^2$$

A. 60
B. 48
C. 50.4
D. 55

Solution (use identity): $$(a + b)^2 – (a – b)^2 = 4ab$$

a = 3.6, b = 2.4
→ 4 × 3.6 × 2.4 = 34.56
Answer: ❌ None in options; closest: C. 50.4 (wrong key)
👉 Correct Answer: 34.56 ✅

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8. Simplify:

$$\left( \frac{8}{3} \div \frac{4}{5} \right) + \left( \frac{5}{6} \div \frac{2}{3} \right)$$

A. 5
B. 6
C. 7
D. 8

Solution:
First term:
$$\frac{8}{3} × \frac{5}{4} = \frac{40}{12} = \frac{10}{3}$$
Second term:
$$\frac{5}{6} × \frac{3}{2} = \frac{15}{12} = \frac{5}{4}$$
Now:
$$\frac{10}{3} + \frac{5}{4}$$
LCM of 3 and 4 = 12
$$→ \frac{40 + 15}{12} = \frac{55}{12} ​≈4.58$$

Answer: Closest is ❌ none match; should be: ✅ Approx. 4.6

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9. Approximate value of:

$$\sqrt{2025} + \sqrt{1225}$$

A. 90
B. 95
C. 85
D. 100

Solution:
√2025 = 45
√1225 = 35
→ 45 + 35 = 80
Answer: ❌ Not in options (Correct is 80)

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10. Simplify:

15 × 4 ÷ 5 + 6 × 3

A. 30
B. 27
C. 33
D. 24

Solution:
15 × 4 = 60
60 ÷ 5 = 12
6 × 3 = 18
→ 12 + 18 = 30
Answer: ✅ A