ABHYAS | Self Learning | Testing Platform

Q.1

Simplify: $(-2)^5 times (-10)^2$

A.

-6400

B.

160

C.

-3200

D.

3600

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Q.2

By what number should $(-15)^{-1}$ be divided so that the quotient may be equal to $(-5)^{-1}$ ?

A.

$frac{1}{5}$

B.

$frac{1}{3}$

C.

$frac{-1}{3}$

D.

none of these

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Q.3

The value of $large (125)^1^/^3$ is :

A.

5

B.

25

C.

45

D.

35

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Q.4

If $large 1000=10^x$ , then x = _________________

A.

2

B.

1

C.

3

D.

0

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Q.5

$large frac{4^0-5+6}{2^0+5^0}$ is equal to

A.

2

B.

1

C.

1 $large frac{1}{2}$

D.

Not defined

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Q.6

Find the value of: $large 7^3$

A.

341

B.

345

C.

347

D.

343

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Q.7

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.8

The value of $large 9^3^/^2$ is :

A.

$large frac{1}{18}$

B.

27

C.

-18

D.

$large frac{1}{27}$

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Q.9

Simplify and write the answer in the exponential form:

$frac{1}{8}times3^{-3}$

A.

$left (2right )^{-3}$

B.

$24^{-3}$

C.

$left (6right )^{-3}$

D.

None of these

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Q.10

Simplify: $large left ( 4^0X3^0 right )+6^0$

A.

6

B.

8

C.

2

D.

4

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Q.11

If $large 8^{x+1} = 64$ , what is the value of $large 3^{2x+1}$ ?

A.

1

B.

3

C.

9

D.

27

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Q.12

Evaluate : $5^3 -5^2$

A.

$10^2$

B.

$large 3^3$

C.

10

D.

$10^4$

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Q.13

Simplify and express in exponential form: $(5^7/5^2)times5^3$

A.

$5^8$

B.

$5^6$

C.

$5^9$

D.

$5^5$

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Q.14

Simplify

$small left ( frac{5}{4} right )^{3}timesleft ( left ( frac{3}{7} right )^{2} right )^{5}$

A.

$small frac{5^{3}.3^{10}}{4^{3}.7^{10}}$

B.

$small frac{7^{3}.3^{10}}{4^{3}.7^{10}}$

C.

$small frac{5^{5}.3^{10}}{4^{3}.7^{10}}$

D.

none of these

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Q.15

If $27^{x+1}=9^{x+3}=3^{y}$ then x and y are:

A.

3, 12

B.

12, 3

C.

6, 6

D.

None of these

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Q.16

Match the following provided that a and b are any rational numbers different from zero and x, y are any rational numbers.

List-â… (Uses Of Exponent Rules)	List-â…¡(Term With Different Base And Same Exponent)
(A) $(a/b)^x$	(i) $frac{1}{a^x}$
(B) $a^{(-x)}$	(ii) $frac{a^x}{b^x}$
(C) $(ab)^{x}$	(iii) $a^{x}b^{x}$

A.

A - (i), B - (ii), C - (iii)

B.

A -(ii), B - (i), C - (iii)

C.

A - (i), B - (iii), C - (ii)

D.

All of the above

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Q.17

If $left ( frac{9^ntimes3^2times3^n-(27)^n}{(3^3)^5times2^3} right ) = frac{1}{27}$ , find the value of n

A.

4

B.

6

C.

1

D.

2

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Q.18

Simplify and express in exponential form: $(5^4x^{10}y^5/ 5^4x^7y^4)$

A.

$x^3y$

B.

$x^4y^2$

C.

$x^3y^4$

D.

$xy^3$

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Q.19

Match the following provided that a and b are any rational numbers different from zero and x, y are any rational numbers.

List I(Terms With Same Base Different Exponents)	List-â…¡ (Uses Of Basic Exponent Rule)
(A) $(a^x)^y$	(i) $a^{x-y}$
(B) $a^x$ ÷ $a^y$	(ii) $a^{xy}$
(C) $a^x X a^y$	(iii) $a^{x+y}$