Question

1)A convex mirror of focal length 10 cm forms an upright and magnified image of a real object placed at a distance of 20 cm from the mirror.

false

2)A concave mirror of focal length 10 cm forms an upright and diminished image of a real object placed at a distance of cm from the mirror.

false

Answer 1

1. Correct. False. Convex mirrors do not form real images of real objects.

1/20 + 1/di = -1/10

1/di = -3/20 di = --6.7 (behind the mirror, demagnified.

2. You left out the position of the object. If the object is outside 10 cm, the image is real and inverted. If the object is inside 10 cm, the image is virtual, behind the mirror, upright and magnified. So it's false no matter where the object is.
Your answers are both correct, but you omitted part of the second question.