# GMAT Hard Math Practice Question 29

#### Number Properties, Polynomials, Exponents & Real Numbers

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

## GMAT Live Online Classes

### 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

#### GMAT Online CourseTry it free!

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

#### GMAT Live Online Classes

Next Batch Apr 27, 2024

Work @ Wizako

##### How to reach Wizako?

Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Email: learn@wizako.com