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1.
37² = ?
Correct Answer: A [1,369]
Explanation:
Square table: 37² = 1,369 (or 36² + 36 + 37 = 1,296 + 73).
2.
24³ = ?
Correct Answer: D [13,824]
Explanation:
Cube table: 24³ = 13,824.
3.
64 × 11 = ?
Correct Answer: B [704]
Explanation:
Eleven Sandwich: 6 | 6 + 4 = 10 | 4 → carry → 704.
4.
Which of the following is a perfect square?
Correct Answer: C [7,056]
Explanation:
Squares never end in 2, 3, 7, 8 → only 7,056 = 84² is possible.
5.
95² = ?
Correct Answer: A [9,025]
Explanation:
Five-Tail Square: 9 × 10 = 90 | 25 → 9,025.
6.
True or false? "A number that is divisible by both 2 and 6 is always divisible by 12."
Correct Answer: B [False]
Explanation:
18 is divisible by 2 and 6 but not by 12; 2 and 6 are not co-prime.
7.
48 × 125 = ?
Correct Answer: C [6,000]
Explanation:
48 × 1,000 ÷ 8 = 6,000.
8.
Fill in the blank: ∛13,824 = ____
Correct Answer: D [24]
Explanation:
Last digit 4 → root ends in 4; 13 lies between 2³ and 3³ → 24.
9.
1/16 written as a decimal is:
Correct Answer: B [0.0625]
Explanation:
1/16 = 6.25% = 0.0625.
10.
Odd one out – which number is NOT divisible by 9?
Correct Answer: A [8,173]
Explanation:
Digit sums: 18, 18, 18 and 8 + 1 + 7 + 3 = 19 → 8,173 is not.
11.
Match: (i) 13² (ii) 14³ (iii) 17 × 18 (iv) 99 × 11 ; (p) 2,744 (q) 169 (r) 1,089 (s) 306
Correct Answer: A [i-q, ii-p, iii-s, iv-r]
Explanation:
13² = 169, 14³ = 2,744, 17 × 18 = 306, 99 × 11 = 1,089.
12.
98 × 97 = ?
Correct Answer: C [9,506]
Explanation:
Base Bridge: −2, −3 → left 95, right 06 → 9,506.
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