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1.  
[1 3/4 of 4/7 of 630 − 12²] ÷ 6 = ?

Correct Answer: B [81]

Explanation:

7/4 × 4/7 = 1, so 630; 630 − 144 = 486; 486 ÷ 6 = 81.

2.  
(7.99)² + 14.98% of 4,001 − √1,023 ≈ ?

Correct Answer: D [632]

Explanation:

≈ 64 + 15% of 4,000 − 32 = 64 + 600 − 32 = 632.

3.  
(0.027 + 0.125) ÷ (0.09 − 0.15 + 0.25) = ?

Correct Answer: E [0.8]

Explanation:

a = 0.3, b = 0.5: (a³ + b³)/(a² − ab + b²) = a + b = 0.8.

4.  
√? + 3/8 of 1,272 = 23² − 7. Find ?

Correct Answer: D [2,025]

Explanation:

3/8 of 1,272 = 477; 529 − 7 = 522; √?

5.  
Quantity I: x, where 4ˣ = 8^(x − 1)
Quantity II: y, where 0.(3) × y = 1.(3)

Correct Answer: B [Quantity I < Quantity II]

Explanation:

I: 2^(2x) = 2^(3x − 3) → x = 3.

6.  
1,249.97 ÷ 24.99 × 7.98 + 2,000.1 × 0.2501 ≈ ?

Correct Answer: A [900]

Explanation:

≈ 50 × 8 + 2,000 × 1/4 = 400 + 500 = 900.

7.  
1 − 1/(1 + 1/(2 + 1/3)) = ?

Correct Answer: B [3/10]

Explanation:

2 + 1/3 = 7/3; 1 + 3/7 = 10/7; 1 − 7/10 = 3/10.

8.  
(√12 + √27 − √48) ÷ √3 = ?

Correct Answer: C [1]

Explanation:

2√3 + 3√3 − 4√3 = √3; √3 ÷ √3 = 1.

9.  
√4,900.4 × 2.98 + 33.33% of 899.7 ≈ ?

Correct Answer: C [510]

Explanation:

≈ 70 × 3 + 1/3 × 900 = 210 + 300 = 510.

10.  
Which of the following has the largest value?

Correct Answer: E [6⁴]

Explanation:

2¹⁰ = 4⁵ = 1,024; 3⁶ = 729; 5⁴ = 625; 6⁴ = 1,296 – the largest.

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