Correct answer is option - 3
Explanation: If two lines are perpendicular (forms 90 ° angle at their intersection point), then the product of their slopes should be equal to -1. 2/3 * -3/2 = -1 and therefore option ‘c’ is the correct answer.

Correct answer is option - 4
Explanation: Since a & b = (a + b)/ (a – b), 3 & 1 = (3 + 1)/ (3 – 1) = 4/2 = 2.
Now 4 & (3 & 1) = 4 & 2 = (4 + 2)/ (4 – 2) = 6/2 = 3

Correct answer is option - 3
Explanation: The total number of fruits present in the bag are (4 + 5 + 6) = 15 fruits. The total number of apples and peaches are (5 + 6) = 11.
Therefore the probability of getting an apple or a peach is 11/15.

Correct answer is option - 4
Explanation: According to the formula: (a – b) ² = a² – 2ab + b².
Hence if a – b = p, then a² – 2ab + b² = (a – b) ² = p².

Correct answer is option - 3
Explanation: We should apply the rule: if the bases are the same the powers can be equated.
This means we make them same bases by taking 9 = 3². This gives: 3^{(6x – 2)} = 3^{2(x + 3)}
Now equate the exponents: 6x – 2 = 2(x +3) implies 6x – 2 = 2x + 6.
Solve for x: 4x = 8 which gives x = 2.

Correct answer is option - 1
Explanation: If the equation of a parabola is in form of y = ax² + bx + c and if a < 0, then the parabola opens downward.
This makes the vertex the highest point on the graph of the parabola.
So, x-coordinate of the vertex, x = -b/2a which gives, x = -5/-4 = 5/4.

Correct answer is option - 2
Explanation:If a line intersects a pair of parallel lines, then the alternate angles are equal. Therefore the measure of angle ‘n’ is also 60°.
And, sum of the angles on a straight line is 180°, so m + n = 180°.
This gives, m = 180° - 60° = 120°.