SSC CGL 2022141)The radii of two concentric circles with centre O are 26 cm and 16 cm. Chord AB of the larger circle is tangent to the smaller circle at C and AD is a diameter. What is the length of CD?

Correct Option: C

38 cm

SSC CGL 2022142)O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm?

Correct Option: C

24

SSC CGL 2022143)AB is a chord of a circle with centre O. C is point on the circle in the minor sector. If ∠ABO = 50°, then what is the degree measure of ∠ACB ?

Correct Option: B

140°

SSC CGL 2022144)In a circle with centre O, PQ, and QR are two chords such that ∠PQR = 118°. What is the measure of ∠OPR?

Correct Option: C

28°

SSC CGL 2022145)AB is the diameter of a circle with centre O. C and D are two points on the circle on either side of AB, such that ∠CAB = 52° and ∠ABD = 47°. What is the difference (in degrees) between the measures of ∠CAD and ∠CBD?

Correct Option: A

10

SSC CGL 2022146)AB and CD are two chords in a circle with centre O and AD is the diameter. When produced, AB and CD meet at the point P. If ∠DAP = 27°, ∠APD = 35°, then what is the measure (in degrees) of ∠DBC?

Correct Option: D

28

SSC CGL 2022147)Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠PAB = 40° . The measure of ∠ABP is:

Correct Option: A

50°

SSC CGL 2022148)The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii?

Correct Option: D

24.5 cm

SSC CGL 2022149)Radius of a circle is 10 cm. Angle made by chord AB at the centre of this circle is 60 degree. What is the length of this chord?

Correct Option: D

10 cm

SSC CGL 2022150)O is the centre of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP?

Correct Option: A

13 cm

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