Determine two consecutive multiples of 3 whose product is 270.

Correct option is  C) 4

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...

Correct option is  A) 112

Correct option is  C) 10.5

Let the consecutive even integers be ‘a’ and a + 2  ⇒ a2 + (a + 2)2 = 340  ⇒ 2a2 + 4a – 336 = 0  ⇒ a2 + 2a – 168...

Let, multiple of 4 lies between 10 and 250 12, 16, 20, 24,…248 We know, an = a + (n – 1)d First term, a = 12 Common difference, d = 16 – 12...

The first 15 multiples of 8 are 8, 16, 24, 32,……. This is an AP in which a = 8, d = (16 - 8) = 8 and n = 15. Thus,...

Solution: As the 7th term exceeds the 5th term by 12, so the 5th term will exceed the 3rd term by 12 as well So, n3 = 16 n5 = 28 n7 = 40 n4 or n6 can be...