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18 questions · timed · auto-graded

MCQ 11 Mark
The number 34613000 when expressed in exponential form is equal to
  • A
    $3461.3 \times 10^3$
  • $3.4613 \times 10^7$
  • C
    $0.34613 \times 10^9$
  • D
    $0.34613 \times 10^9$
Answer
Correct option: B.
$3.4613 \times 10^7$
B
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MCQ 21 Mark
The value of $\left[\left\{\left(\frac{-1}{3}\right)^{-2}\right\}^{-1}\right]^2$ is
  • A
    81
  • B
    -81
  • $\frac{1}{81}$
  • D
    $-\frac{1}{81}$
Answer
Correct option: C.
$\frac{1}{81}$
C
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MCQ 31 Mark
The value of x such that $\left(\frac{3}{7}\right)^3 \times\left(\frac{3}{7}\right)^{-8}=\left(\frac{3}{7}\right)^{2 x+3}$ is
  • -4
  • B
    -2
  • C
    $0$
  • D
    1
Answer
Correct option: A.
-4
A
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MCQ 41 Mark
$\left(\frac{-3}{5}\right)^5$ is equal to
  • $\frac{-243}{3125}$
  • B
    $\frac{-81}{625}$
  • C
    $\frac{81}{625}$
  • D
    $\frac{512}{1875}$
Answer
Correct option: A.
$\frac{-243}{3125}$
A
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MCQ 81 Mark
$\left\{\left(9^2\right)^4 \times 9^5\right\} \div 9^8$ is equal to:
  • A
    $9$
  • B
    $9^8$
  • $9^5$
  • D
    $9^9$
Answer
Correct option: C.
$9^5$
C
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MCQ 91 Mark
Rajat claims, "A negative number raised to a power is always less than the number itself." Rajat's statement is :
  • A
    true
  • false
  • C
    can't say anything
  • D
    none of these
Answer
Correct option: B.
false
B
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MCQ 101 Mark
If $3^x=500$, then the value of $3^{x-2}$ is:
  • $\frac{500}{9}$
  • B
    $\frac{1000}{9}$
  • C
    $\frac{500}{3}$
  • D
    $\frac{100}{9}$
Answer
Correct option: A.
$\frac{500}{9}$
A
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MCQ 121 Mark
The value of $\left(p^x \times p^y\right) \div\left(p^x \div p^y\right)$ is:
  • A
    $2 p^x$
  • B
    $p^{2 x}$
  • C
    $2 p^y$
  • $p^{2 y}$
Answer
Correct option: D.
$p^{2 y}$
D
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MCQ 131 Mark
The value of $(-8) \times(-8) \times(-8) \times(-8) \times(-8) \times(-8) \times(-8) \times(-8) \times(-8) \times(-8)$ is :
  • A
    $-2(8)^6$
  • B
    $-(2)^{16}$
  • C
    $-(4)^8$
  • none of these
Answer
Correct option: D.
none of these
D
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MCQ 141 Mark
The value of $\frac{3^4}{2^3}+\frac{\left(\frac{1}{9} \times 4\right)^2}{\left(\frac{-1}{3}\right)^3 \div\left(\frac{1}{-2}\right)^3}$ is :
  • A
    $\frac{81}{24}$
  • $\frac{259}{24}$
  • C
    $\frac{81}{8}$
  • D
    $\frac{259}{8}$
Answer
Correct option: B.
$\frac{259}{24}$
B
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MCQ 161 Mark
The value of $\left(\frac{a^p}{a^q}\right) \times\left(\frac{a^q}{a^r}\right) \times\left(\frac{a^r}{a^p}\right)$ is :
  • $1$
  • B
    $a^{\frac{1}{p q r}}$
  • C
    $a^{p q r}$
  • D
    $a$
Answer
Correct option: A.
$1$
A
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MCQ 171 Mark
The value of $\frac{\left(-\frac{1}{2}\right)^5}{\left(-\frac{1}{2}\right)^4} \div \frac{\left(-\frac{1}{8}\right)}{\left(-\frac{1}{4}\right)}$ is :
  • A
    $2$
  • B
    $0$
  • C
    $1$
  • $-1$
Answer
Correct option: D.
$-1$
D
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MCQ - MATHS STD 7 Questions - Vidyadip