D would be the answer
From Q we know AB=OC=OB. Means triangle ABO and BCO are isoscles.
Means Angle BAD=Angle BDA = x
Means Angle DCB=Angle DBC = y
Stmt 1 - Angle COD = 60
=> Angle CDA = 120 = x + 180 - 2y => 2y-x = 60 -----(1)
Angle ABD = 180-y = 180-2x => 2x=y ------(2)
Solve 1 and 2 to get value x = 20 degree SUFF
Stmt 2 Angle BCD=40. Means Angle CBD=40
=> Angle ABD = 180-40 = 140
=> 2x+140 = 180.. Solve to get x = 20 SUFF
ANS D
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
