The product of two consecutive even numbers is always divisible by
A) 3
B) 5
C) 4
D) 8
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State whether the given statement is ture or flase. (i) The sum of two rationals is always rational. (ii) The product of two rationals is always ratio
Correct Answer - (i) True (ii) True (iii) False (iv) False (v) True (True
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Mean of three consecutive even numbers is 16. The numbers are
Correct option is (D) 14, 16, 18 Let three consecutive even numbers are x - 2, x & x+2. \(\therefore\) Their mean \(=\frac{(x-2)+x+(x+2)}3\) \(=\frac{3x}3\) = x But given that mean of three consecutive even numbers is 16. \(\therefore\) x = 16 Thus,...
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Mean of three consecutive even numbers is 16. The numbers are
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If n is odd, then an + bn is divisible by (a + b) and an− bn is divisible by (a − b). If n is even, then an− bn is divisible by (a − b) and (a + b) .
12011 + 22011 + 32011 +...... +20102011 = (12011 + 20102011) + (22011 + 20092011) + (32011 + 20082011) ...... (10112011 + 10002011) These terms are of the form an + bn, so they will be divided by a + b, as n...
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If the product of two consecutive numbers is 72 then the smaller number is ………………..
Correct option is (D) 8 or -9 Let consecutive numbers are x and x+1. \(\therefore\) x(x+1) = 72 (Given) \(\Rightarrow\) \(x^2+x-72=0\) \(\Rightarrow\) \(x^2+9x-8x-72=0\) \(\Rightarrow\) x(x+9) - 8(x+9) = 0 \(\Rightarrow\) (x-8) (x+9) = 0 \(\Rightarrow\) x - 8 = 0 or x+9...
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If the product of two consecutive numbers is 72 then the smaller number is ………………..
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The sum of two consecutive positive numbers is 10 then the smallest one is ………………..
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The sum of two consecutive positive numbers is 10 then the smallest one is ………………..
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Find the consecutive even integers whose squares have the sum 340.
Let the consecutive even integers be ‘a’ and a + 2 ⇒ a2 + (a + 2)2 = 340 ⇒ 2a2 + 4a – 336 = 0 ⇒ a2 + 2a – 168...
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Determine two consecutive multiples of 3 whose product is 270.
Let the consecutive multiples of 3 be a, a + 3 ⇒ a(a + 3) = 270 ⇒ a2 + 3a – 270 = 0 ⇒ a2 + 18a – 15a – 270...
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