 # Monthly GRE Challenge Problem 1 – Answer to Win Free Access

Posted by on March 7, 2014 in GRE Practice Questions | 47 comments

Here is the solution and the winners 🙂

At the end of this month, I will choose one person out of all those who answered this correctly and give Free 1 month access to my 10 GRE Quantitative Quizzes – each quiz contains 20 questions and you will have a total of 200 questions to practice on.

Here is the question: 1. x=120

2. x=120

3. 60

• x=60

4. 120

5. 90

6. x=105

Draw chord BC to get an inscribed quadrilateral ABCD. Angle C should be 75 (one of the equal angles in the isoceles triangle BCD)

For an inscribed quadrilateral, opposite angles sum up to 180. Hence, x is 180-75 = 105

7. 105 degrees I guess cyclic quadrilateral will be used.

8. x=90

9. 120
solved it by making an isosceles trapeoid..

10. X=75

11. 105

12. 120

13. x = 105

14. 108

15. 60

• 120

16. X= 105 because it is cyclic quad

17. • x = 90

18. 75

19. 120

20. can’t be determined

21. 90

22. 120

23. 75

24. 105

25. 120

26. 27. 75

28. 90

29. 30. 120

31. 75 degrees

32. 90

33. Cannot be determined

34. 105

35. 105

36. 105

37. 105

38. 39. Answer: 105, Sorry 150 is by mistake…

40. I think it would be 60. Central angle is twice the inscribed opposite angle ! I think we will use this theorem here!

41. angle x= 30 degrees

42. 108….i made it into a regular pentagon since BD equals CD… and interior angle of a pentagon is 108 degrees!

43. 75

44. x=105

30*2=60
180-30=150
150/2=75
75*2=150
150+150+60=360
150+60=210
210/2=105