141)

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?

SSC CGL 2022

A)

35 cm

B)

42 cm

C)

38 cm

D)

36 cm

142)

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?

SSC CGL 2022

A)

\(2 \sqrt{194}\)

B)

25

C)

24

D)

20

143)

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 ?

SSC CGL 2022

A)

130°

B)

140°

C)

100°

D)

110°

144)

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

SSC CGL 2022

A)

31°

B)

36°

C)

28°

D)

26°

145)

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?

SSC CGL 2022

A)

10

B)

15

C)

25

D)

20

146)

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?

SSC CGL 2022

A)

26

B)

30

C)

32

D)

28

147)

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:

SSC CGL 2022

A)

50°

B)

55°

C)

45°

D)

40°

148)

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

SSC CGL 2022

A)

49.5 cm

B)

16.5 cm

C)

45 cm

D)

24.5 cm

149)

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?

SSC CGL 2022

A)

30 cm

B)

20 cm

C)

40 cm

D)

10 cm

150)

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?

SSC CGL 2022

A)

13 cm

B)

52 cm

C)

26 cm

D)

15 cm