Maxima Minima G Strategy | Easy

If a, b, c and d are integers such that their sum is 46, then the minimum possible value of

(a − b)² + (a − c)² + (a − d)² is ______

Answer & Explanation

Minimum possible value is 2

Since a, b, c, d must be integers, they must be the integers closest to 11.5, which are 11 and 12.

To satisfy the sum constraint a + b + c + d = 46, we can take values 11, 11, 12, 12.

Expression becomes: (11 − 12)² + (11 − 12)² + (11 − 11)² = 1 + 1 + 0 = 2

X maro G Strategy | Inequality | Easy

The set of all real values of x for which (x² − |x + 9| + x) > 0, is

A) (−∞, −3) ∪ (3, ∞)

B) (−9, −3) ∪ (3, ∞)

C) (−∞, −9) ∪ (3, ∞)

D) (−∞, −9) ∪ (9, ∞)

Answer & Explanation

Use X maro G Strategy put x = -5 and x = -10

Option	Interval	Test x = −5	Test x = −10	Status
A	(−∞, −3) ∪ (3, ∞)	Included, LHS = 16 > 0	Included, LHS = 89 > 0	✅ Possible
B	(−9, −3) ∪ (3, ∞)	Included, LHS = 16 > 0	Not included	❌ Eliminated
C	(−∞, −9) ∪ (3, ∞)	Not included	Included, LHS = 89 > 0	❌ Eliminated
D	(−∞, −9) ∪ (9, ∞)	Not included	Included, LHS = 89 > 0	❌ Eliminated