MCQ practice · SSC General Mathematics Board questions · Chapter 8: Circle
Two circles of diameters 10 cm and 14 cm touch each other internally. What will the distance between their centres be?
Think it through first, then pick an option.
- a 2 cm
- b 4 cm
- c 12 cm
- d 24 cm
Answer and explanation
Correct answer: a 2 cm
Radii are 5 and 7; d = 7 − 5 = 2 cm.
Why the other options are wrong
- b 4 cm: 4 = 14 − 10 is the difference of diameters; the difference of radii is 2.
- c 12 cm: 12 = 5 + 7 adds the radii; internal touching needs the difference.
- d 24 cm: 24 = 10 + 14 adds the diameters; the centre distance cannot be so large.
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