Number Play
CBSE · Class 8 · Mathematics
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Quick Quiz: Number Play
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
What is the sum of four consecutive numbers if the smallest number is 17?
Find the remainder when 5847 is divided by 9.
Using divisibility rules, which number is divisible by 11?
What is the digital root of 9876?
Sample Questions
Which expressions always give an even number for any integer values?
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2a + 4b, 6m + 8n, 4p + 2q
An expression is always even if all terms have even coefficients: 2a + 4b = 2(a + 2b), 6m + 8n = 2(3m + 4n), 4p + 2q = 2(2p + q). The expressions 3x + 5y and x² + 2 can be odd depending on the values.
A number leaves remainder 3 when divided by 5. Which algebraic expressions represent such numbers?
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5k + 3, 5k - 2, 5k + 8
Numbers with remainder 3 when divided by 5: 5k + 3 (3 more than multiple of 5), 5k - 2 (2 less than multiple of 5), 5k + 8 = 5k + 5 + 3 = 5(k+1) + 3. The expression 3k + 5 doesn't follow this pattern.
If two even numbers add to give a multiple of 4, what types of even numbers must they be?
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Both multiples of 4 OR both not multiples of 4
For sum to be multiple of 4: (4a) + (4b) = 4(a+b), or (4a+2) + (4b+2) = 4(a+b+1). When one is multiple of 4 and other isn't: 4a + (4b+2) = 4(a+b) + 2, which leaves remainder 2.
Solve the cryptarithm: AB × 5 = BC (where A, B, C are different digits)
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A=1, B=8, C=0
AB × 5 = BC means (10A + B) × 5 = 10B + C. Expanding: 50A + 5B = 10B + C, so 50A = 5B + C. For A=1, B=8: 50 = 40 + 10, so C=0. Check: 18 × 5 = 90. ✓
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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