IMPROVE YOUR GRE SCORE

Sign up for Capstone’s Practice of the Day. Get questions everyday with detailed solutions – delivered into your inbox. Study consistent. Study smart. 

dev_focus

GRE Practice - Quantitative Reasoning - Set 22

  1. If 6 + 7|x + 4| = 48, then x could equal which of the following?

Subtract 6 from both sides:
7|x + 4| = 42
|x + 4| = 6
So, (x + 4) = 6 or (x +4) = −6
x = 2 OR -10

  1. A certain rectangle has an area of 36 and a perimeter of 26. What is the positive difference between the length and breadth of the rectangle?

Perimeter = 26 2(L + B) = 26
L = 13 – B
Area = 36
So, (13 – B)B = 36
B2 – 13B + 36 = 0
B2 – 9B – 4B + 36 = 0
B(B – 9) -4(B – 9) = 0
(B – 4) (B – 9) = 0
B= 4, 9
Positive Difference= 9-4 = 5

QR22
  1. If O is the centre of the circle and its radius of is 8, then what is the area of the shaded region?
  1. 32
  2. 64
  3. 16π – 16
  4. 32π – 16
  5. 16π − 32

The sector has a central angle of 900 so it represents ¼ of the circle.
Area of sector = ¼ π (8)2 = 16 π
Area of isosceles right triangle AOB = ½ x 8 x 8 = 32
Area of shaded region = Area of sector – area of ΔAOB = 16 π – 32

  1. If 2x+4 × 3y-1 = 576, where x and y are integers, what is x + y?

576 = 242 and 24 = 23 x 3
So, 576 = 26 x 32
But 2x+4 × 3y-1 = 576 = 26 x 32
x+4 = 6; x = 2
y – 1 = 2; y = 3
x+y = 5

WANT MORE PRACTICE QUESTIONS?

Get GRE Ready. Practice Questions with Solutions delivered to your inbox. 

Capstone GRE Practice of the Day Image 1

Realistic Questions

Capstone GRE Practice of the Day Image 1

Clear Explanations

Capstone GRE Practice of the Day Image 2

Practice Everyday

Sign up for a free GRE practice course.

Be GRE ready with 30 minutes a day. Delivered to your inbox.

GRE PREP         

IELTS PREP

BLOG     

ABOUT US          

CONTACT US 

All test names are registered trademarks of their respective owners. 

© 2020 Capstone Tutorials. All rights reserved.

Congratulations!

Well Done,
You Did It!

Feel free to contact me, and I will be more than happy to answer all of your questions.

Anirban_Bose_Capstone
Anirban - Head of Academics
Anirban_Bose_Capstone
Anirban Bose - Head of Academics
Days
Hours
Minutes
Seconds

Register for the next IELTS prep class. Batch starts on 12th April, 2021

Dear IELTS aspirant! Join me for the most popular IELTS prep course. Since 2010, hundreds of successful students have realised their dreams every year. Join today for success!