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1.  
(3/8 of 1,736 − 2/7 of 1,617) ÷ ? = 21. Find ?

Correct Answer: E [9]

Explanation:

651 − 462 = 189; 189 ÷ 21 = 9.

2.  
2.(3) − 1.1(6) = ?

Correct Answer: C [7/6]

Explanation:

7/3 − 7/6 = 7/6.

3.  
If 3^(x + 2) − 3^x = 216, then x = ?

Correct Answer: A [3]

Explanation:

3^x(9 − 1) = 216 → 3^x = 27 → x = 3.

4.  
(0.6³ + 0.3³ + 0.1³ − 3 × 0.6 × 0.3 × 0.1) ÷ (0.6² + 0.3² + 0.1² − 0.18 − 0.03 − 0.06) = ?

Correct Answer: B [1]

Explanation:

Identity: the ratio equals a + b + c = 0.6 + 0.3 + 0.1 = 1.

5.  
3/7 of 4,899 + 2/9 of 1,802 ≈ ?

Correct Answer: C [2,500]

Explanation:

≈ 3/7 × 4,900 + 2/9 × 1,800 = 2,100 + 400 = 2,500.

6.  
What is the value of the positive number p?
I. p² = 3p + 10
II. p³ = 125

Correct Answer: C [Either statement alone is sufficient]

Explanation:

I: p = 5 or −2; p is positive → 5.

7.  
If 2^(x + 1) + 2^(x + 2) = 96, then x = ?

Correct Answer: B [4]

Explanation:

2^x(2 + 4) = 96 → 2^x = 16 → x = 4.

8.  
(√5)^? = 625. Find ?

Correct Answer: E [8]

Explanation:

(√5)^? = 5^(?/2) = 5⁴ → ?/2 = 4 → ?

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