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TANCET 2014 Quant Q43: Number Theory

This question appeared as Q43 in the quantitative reasoning (aptitude) section of the TANCET 2014. A total of 20 questions appeared in this section in TANCET 2014. This question is a medium level difficulty question and tests the concept in rules of indices in number theory and number properties.

Question

The value of 6ab2c3 * 4b-2c-3d is

  1. 6a
  2. 4b
  3. 24ad
  4. 4d
  5. 0

  Correct Answer      Choice (3). The value of 6ab2c3 * 4b-2c-3d is 24ad.


Explanatory Answer

Rules of Indices

am * an = a(m + n)
am * a-n = a(m - n)
a0 = 1

Group like terms together
6ab2c3 * 4b-2c-3d = (6 * 4)ab2b-2c3c-3d = (6 * 4)ab(2 - 2)c(3 - 3)d
= 24ab0c0d
= 24ad

  The correct answer is Choice (3).

Video Explanation

More XAT TANCET Practice Questions in Number Theory & Number Properties

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