ABHYAS | Self Learning | Testing Platform

Q.1

Evaluate : $large dpi{150} 6^2 -3^2$

A.

9

B.

$large 3^3$

C.

6

D.

$large 3^4$

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Q.2

Evaluate:

$large frac{9^4Xa^7b^4}{3^5Xa^4b^4}$

A.

$large 22a^3$

B.

$large 27a^3$

C.

$large 15a^2$

D.

$large 34a^4$

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Q.3

Find the values of n in the following : $9times3^n = 3^7$

A.

5

B.

0

C.

4

D.

8

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Q.4

Find the value of: $large 7^3$

A.

341

B.

345

C.

347

D.

343

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Q.5

For a rational number a, $large (a^3)^{-2}$ is equal to _______________

A.

$large a^6$

B.

$large a^{-6}$

C.

$large a^{-9}$

D.

$a^1$

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Q.6

Express the number appearing in the following statements in standard form

1 micron is equal to $frac{1}{1000000}$ metre.

A.

$10^{6}$ metre

B.

$10^{-6}$ metre

C.

$10^{-5}$ metre

D.

$10^{-5}$ micron

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Q.7

If a= 2 and b = 3, the find the values of the following: $(ab)^b$

A.

216

B.

125

C.

343

D.

25

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Q.8

If $7^{(x-y)}$ =343 and $7^{(x+y)}$ =2401, then x is equal to________.

A.

5/2

B.

9/2

C.

1/2

D.

7/2

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Q.9

If a = 2 and b = 3, the find the values of the following expression

$(a+b)^a$

A.

100

B.

36

C.

25

D.

49

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Q.10

Simplify : $large frac{9^{-6}times 6^{3}}{6^{-3}times 9^{6}}$

A.

$large frac{6^{6}}{9^{12}}$

B.

$large frac{6^{12}}{9^{6}}$

C.

$large frac{6^{9}}{12^{6}}$

D.

1

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Attention !!!!!