GMAT Hard Math Practice Question 29

Number Properties, Polynomials, Exponents & Real Numbers | GMAT Sample Questions

The given question is a challenging GMAT quant problem solving question testing concepts in number properties. Concepts covered: Number properties, Polynomials, Exponents, and Real Numbers.

Question 29: If a, b, .. , j are real numbers such that (a - 1)2 + (b - 2)4 + (c - 3)6 + ... + (j - 10)20 = 0, what is the value of b × d × f × h × j ?

  1. 120
  2. 36,28,800
  3. 3840
  4. 240
  5. 1536

Get to Q51 in GMAT Quant


Online GMAT Course
@ INR 3000


Video Explanation


GMAT Live Online Classes


Next Batch | December 3, 2020


Explanatory Answer | GMAT Number Properties

Because square of real numbers cannot be negative, sum of even powers of real numbers can be zero only if each of the terms is zero.

Therefore, (a - 1) = 0, (b - 2) = 0, ..., (j - 10) = 0
Or a = 1, b = 2, c = 3, .... j = 10

b × d × f × h × j = 2 × 4 × 6 × 8 × 10
= 25 × (1 × 2 × 3 × 4 × 5)
= 32 × 120
= 3840

Choice C is the correct answer.

GMAT Online Course - Quant
Try it free!

Register in 2 easy steps and
Start learning in 5 minutes!

★ Sign up for Free

Already have an Account?

★ Login to Continue

GMAT Live Online Classes

Next Batch Dec 3, 2020

★ GMAT Live Info

GMAT Coaching in Chennai

Next Integrated (Online + Offline) GMAT Batch
Dec 3, 2020

★ GMAT Class Info

GMAT Hard Math Videos On YouTube


GMAT Sample Questions | Topicwise GMAT Questions


Where is Wizako located?

Wizako - GMAT, GRE, SAT Prep
An Ascent Education Initiative
48/1 Ramagiri Nagar
Velachery Taramani Link Road.,
Velachery, Chennai 600 042. India

How to reach Wizako?

Phone: (91) 44 4500 8484
Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Email: learn@wizako.com
Leave A Message