In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer. I. x2?5x ?24 = 0II. 2y2+ 19y + 35 = 0

Required probability = favorable number of cases/ total number of
=⁸P₅ / 8 ⁵ = 105/512

Let the original price be 100 Rs.
So reduced price = 100 X 0.95 X 0.90 X 0.80 = 68.40

? Single discount = (100 ? 68.4) % = 31.6%

6.66% of MP = 25
? MP = 375
? SP = MP - 25 = 350

According to given question , we have
?. x³ - 371 = 629
? x = ?1000 = 10
?. y³ - 543 = 788
? y = ?1331 = 11
From above both equations it is clear that x < y is correct answer .

Number are 1³, 2³, 3³, 4³, 5³, 6³.

So, the missing number is 7³ = 343.

Let the length of rectangle = L m
? Breadth of rectangle = B m
Using conditions from the question,
L - B = 23 ....(i)
2(L + B) = 206
L + B = 103 ....(ii)

On adding Eqs. (i) and (ii), we get
2L = 126
? L = 63 m
? B = 103 - 63 = 40 m

Then , area of rectangle = L x B
= 63 x 40
= 2520 m² .