Surds and Indices Quiz Set 009 | Maths Aptitude Quiz Questions and Mock Test on Problems on Surds and Indices Set 9 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

If $7^x = 16807$, then what is the value of $7^{x - 3}$?

49.

50.

48.

51.

Soln.
Ans: a

We can write the given expression as $7^x = 7^5$. The bases are same so powers should be same. Comparing we get x = 5. So x - 3 = 2, we get $7^2 = 49$.

Solution | Discuss! | Chapters»

Question 2

If $6^x = 7776$, then what is the value of $6^{x - 3}$?

36.

37.

35.

38.

Soln.
Ans: a

We can write the given expression as $6^x = 6^5$. The bases are same so powers should be same. Comparing we get x = 5. So x - 3 = 2, we get $6^2 = 36$.

Solution | Discuss! | Chapters»

Question 3

What is $81^0.19 × 81^0.06$?

Soln.
Ans: a

By inspection, we get $(3^4)^0.19 × (3^4)^0.06$, which equals $(3^4)^(0.19 + 0.06)$, which equals $(3^4)^0.25$, which equals $3^1$, or 3. Note: The trick in such type of questions is to keep an eye on the "bases".

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Question 4

If $6^x = 46656$, then what is the value of $6^{x - 1}$?

7776.

7777.

7775.

7778.

Soln.
Ans: a

We can write the given expression as $6^x = 6^6$. The bases are same so powers should be same. Comparing we get x = 6. So x - 1 = 5, we get $6^5 = 7776$.

Solution | Discuss! | Chapters»