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JEE Mains 2015 Guidance › Class VII-X Mathematics questions › maths1

Given that a,b are odd and c,d are even,then
A. a² - b² + c² - d² is always divisible by 4
B. abc + bcd + cda + dab is always divisble by 4
C. a⁴ + b⁴ + c³ + d³ + c²b +a²b is always odd
D. a +2b +3c +4d is odd

#Mathematics #Class VII-X Mathematics

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Avinav Prakash ·2010-03-28 22:05:13

a,b,c,d ????????

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Lokesh Verma ·2010-04-27 23:36:00

Sourangshu, the hint for this one is that

Odds are of the form 2n+1 and their prefect squares of the form 4k+1

evens of the form 2n, their perfect squares of the form 4k

Now try...

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Basic Integral Calculus Operators Symbols Matrix Cases

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∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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maths1

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