Surds and Indices Quiz Set 003 | Maths Aptitude Quiz Questions and Mock Test on Problems on Surds and Indices Set 3 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

If $√73$ is approximately $8$, then what is $73^3$?

262144.

262145.

262143.

262146.

Soln.
Ans: a

Since $√x = x^{1/2}$, we can see that $73^3$ is same as $(√73)^6$ which gives $8^6$ = 262144.

Solution | Discuss! | Chapters»

Question 2

What is $({4/34})^{x - 0.18} × ({4/34})^x = ({4/34})^0.23$?

0.205.

0.705.

1.705.

2.205.

Soln.
Ans: a

We can simplify the given expression to $({4/34})^{2x - 0.18} = ({4/34})^0.23$. The bases are equal, so the powers should also be equal. Hence $2x - 0.18 = 0.23$ which gives x = 0.205.

Solution | Discuss! | Chapters»

Question 3

If $26^0.05 = p, and 26^0.34 = q$ and $p^m = q^4$ then what is the value of m?

27.20.

27.44.

27.34.

27.74.

Soln.
Ans: a

Substituting in $p^m = q^4$, we get $26^{0.05m} = 26^{0.34 × 4}$. Bases are same so powers should be same. Hence, $0.05m = {0.34 × 4}$, which gives m = 27.20.

Solution | Discuss! | Chapters»