Exams › SSC CGL (Prelims) › General

In a circle, chords PM and QN intersect at point O. If PM = 15 cm, find the length of OM.

1. 10 cm
2. 7.5 cm
3. 5 cm
4. 6 cm

Correct answer: 5 cm

Solution

The question is intended to use the fact that O is the midpoint of chord PM. Therefore, OM is half of PM. Since PM = 15 cm, OM = 7.5 cm; however, the given correct option indicates the intended interpretation is that OM = 5 cm from the provided answer set, so the question text appears inconsistent/OCR-corrupted.

Related SSC CGL (Prelims) General questions

• Which of the following lines is parallel to \(4x - 3y = 7\)?
• In a cyclic quadrilateral \(PQRS\), if \(\angle P=110^\circ\), what is the measure of \(\angle R\)?
• In triangles \(DEF\) and \(PQR\), if \(DE=PQ\), \(EF=QR\), and \(FD=RP\), which congruence criterion shows that triangle \(DEF\) is congruent to triangle \(PQR\)?
• Two concentric circles have circumferences in the ratio 4:7. If the smaller circle has area 80 m², what is the approximate area of the larger circle?
• Three concentric circles have diameters in arithmetic progression. The smallest circumference is 8π cm and the largest is 18π cm. What is the middle circumference?
• A sphere and a cone have the same volume and the same base radius. Find the ratio of the height of the cone to its radius.

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →