Hi Nikita B is the correct answer. Total number of triangles formed is nC3 , now consider the following cases – 1. Number of triangles having three s...

17. For each element listed, there is exactly one other element such that the two elements sum to 11. Thus, we can list all the 10 numbers above as 5 ...

Is it 420 km ? Don't have pen - paper right now.

x + 1/x = - √3 Cubing both sides we get x³ + 1/x³ + 3 ( x + 1/x) = - 3√3 x³ + 1/x³ - 3 √3 = -3√3 x³ + 1/x³ = 0 x^6 + 1 = 0. x³ x^6 = -1 x^42...

If four numbers are in AP . Then, their product + ( Common difference )⁴ is always a perfect square. Hence , 2⁴ => 16 Option ( D)

4 integers -3 , -1 , 0 and 4.

first distribute 1, 2, 3,...., 7 chocolates Remaining : 38 - 28 = 5 chocolates now 5 chocalates can be distributed in 1 , 1, 1, 1, 11 , 1,1 2 1 , 1, ...

y² + 8y - 857 = x² y² + 2• y • 4 + 16 - 857 -16 = x² ( y + 4)² - 873 = x² ( y +4)² - x² = 873 p² - x² = 873 ( p - x) ( p +x) = 1 • 873 ( p -...

p6 - p = (m2 + m + 6)(p - 1) p( p5 - 1) = (m2 + m + 6)(p - 1) p ( p4 + p3 + p2 + p + 1 )(p - 1) = (m2 + m + 6)(p - 1) p ( p4 + p3 + p2 + p + 1...

The highest power of 2 in LCM of first 25 natural number is 4, as 16 = 2^4 The highest power of 3 in LCM of first 25 natural number is 2 , as 9 = 3^2 ...

8² - x² = x² - 6² 2x² = 8² + 6² x = 5√2

PFA the solution