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MATHS MCQ

Exponents and Powers · ICSE STD 8 (ICSE - English Medium). 27 questions.

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27 questions · timed · auto-graded

MCQ 11 Mark
Which of the following is the same as $\left(\frac{-5}{7}\right)^{-7}$ ?
  • A
    $\left(\frac{5}{7}\right)^{-7}$
  • B
    $-\left(\frac{5}{7}\right)^{-7}$
  • C
    $\left(\frac{7}{5}\right)^{7}$
  • ✓
    $\left(\frac{-7}{5}\right)^7$
Answer
Correct option: D.
$\left(\frac{-7}{5}\right)^7$
D
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MCQ 21 Mark
$(64)^{\frac{-1}{2}}-(-32)^{\frac{-4}{5}}=?$
  • A
    $\frac{1}{8}$
  • B
    $\frac{3}{8}$
  • ✓
    $\frac{1}{16}$
  • D
    $\frac{3}{16}$
Answer
Correct option: C.
$\frac{1}{16}$
C
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MCQ 31 Mark
The value of $\left(8^{-1}-9^{-1}\right)^{-1} \div\left(4^{-1}-9^{-1}\right)^{-1}$ is
  • A
    5
  • ✓
    10
  • C
    14
  • D
    25
Answer
Correct option: B.
10
B
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MCQ 41 Mark
The value of $\left[2-3(2-3)^{-1}\right]^{-1}$ is
  • A
    5
  • B
    -5
  • ✓
    $\frac{1}{5}$
  • D
    $\frac{-1}{5}$
Answer
Correct option: C.
$\frac{1}{5}$
C
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MCQ 51 Mark
The value of $\left(\frac{32}{243}\right)^{-\frac{4}{5}}$ is
  • A
    $\frac{4}{9}$
  • B
    $\frac{9}{4}$
  • C
    $\frac{16}{81}$
  • ✓
    $\frac{81}{16}$
Answer
Correct option: D.
$\frac{81}{16}$
D
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MCQ 61 Mark
The value of $27^{\frac{5}{4}}$ lies between
  • ✓
    0 and 1
  • B
    1 and 2
  • C
    2 and 3
  • D
    3 and 4
Answer
Correct option: A.
0 and 1
A
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MCQ 81 Mark
The simplified value of $\frac{2.3^{n+1}+7.3^{n-1}}{3^{n+2}-2\left(\frac{1}{3}\right)^{1-n}}$ is
  • A
    -1
  • B
    $0$
  • ✓
    1
  • D
    3
Answer
Correct option: C.
1
C
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MCQ 111 Mark
If $\left(\frac{x}{y}\right)^{n-1}=\left(\frac{y}{x}\right)^{n-3}$ then the value of $n$ is
  • A
    $\frac{1}{2}$
  • B
    1
  • ✓
    2
  • D
    $\frac{7}{2}$
Answer
Correct option: C.
2
C
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MCQ 131 Mark
Given that $9^n+9^n+9^n=3^{2013}$, what is the value of $n$ ?
  • A
    1005
  • ✓
    1006
  • C
    2011
  • D
    6019
Answer
Correct option: B.
1006
B
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MCQ 141 Mark
If $2^{x+1}=8^x$, then $x$ has the value
  • A
    $\frac{-1}{3}$
  • ✓
    $\frac{1}{2}$
  • C
    1
  • D
    3
Answer
Correct option: B.
$\frac{1}{2}$
B
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MCQ 151 Mark
If $(25)^{7.5} \times(5)^{2.5} \div(125)^{1.5}=5^x$, then the value of $x$ is
  • A
    8.5
  • ✓
    13
  • C
    16
  • D
    17.5
Answer
Correct option: B.
13
B
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MCQ 161 Mark
If $(0.04)^2 \div(0.008) \times(0.2)^6=(0.2)^x$, then the value of $x$ is
  • A
    5
  • B
    6
  • C
    8
  • ✓
    7
Answer
Correct option: D.
7
D
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MCQ 181 Mark
Out of the following, which one is the greatest?
  • A
    $(0.008)^{\frac{1}{3}}$
  • B
    $(0.01)^{\frac{1}{2}}$
  • C
    $(0.2)^2$
  • ✓
    $\frac{1}{100}$
Answer
Correct option: D.
$\frac{1}{100}$
D
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MCQ 191 Mark
If $3^{x+y}=81$ and $81^{x-y}=3^8$, then the values of $x$ and $y$ are respectively
  • A
    $-1, -3$
  • B
    $-1, 3$
  • C
    1, 3
  • ✓
    3, 1
Answer
Correct option: D.
3, 1
D
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MCQ 201 Mark
Which of the following values are equal?
I. $1^5$ $\quad$II. $5^0$ $\quad$III. $0^5$ $\quad$IV. $5^1$
  • ✓
    I and II
  • B
    II and III
  • C
    I and III
  • D
    I and IV
Answer
Correct option: A.
I and II
A
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MCQ 211 Mark
The value of $2^1-2^{-1}+2^1-2^{-1}+2^1-2^{-1}+\ldots \ldots$. (up to 100 terms) is equal to:
  • A
    150
  • B
    100
  • C
    80
  • ✓
    75
Answer
Correct option: D.
75
D
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MCQ 221 Mark
The cells of bacteria doubles itself after every one hour. How many cells will there be after 8 hours?
  • A
    $(2 \times 8)$ times the original number
  • B
    $8^2$ times the original number
  • ✓
    $2^8$ times the original number
  • D
    $8^8$ times the original number
Answer
Correct option: C.
$2^8$ times the original number
C
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MCQ 231 Mark
The value of $\left(7^{-1}-8^{-1}\right)^{-1}-\left(3^{-1}-4^{-1}\right)^{-1}$ is:
  • A
    56
  • ✓
    44
  • C
    20
  • D
    1
Answer
Correct option: B.
44
B
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MCQ 261 Mark
If $a^x=b^y=c^z$ and $b^2=a c$, then $y$ equals:
  • ✓
    $\frac{2 x z}{x+z}$
  • B
    $\frac{x z}{2(x-z)}$
  • C
    $\frac{x z}{2(z-x)}$
  • D
    $\frac{2 x z}{x-z}$
Answer
Correct option: A.
$\frac{2 x z}{x+z}$
A
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MCQ 271 Mark
When simplified, $\left(x^{-1}+y^{-1}\right)^{-1}$ is equal to:
  • A
    $x+y$
  • ✓
    $\frac{x y}{x+y}$
  • C
    $x y$
  • D
    $\frac{1}{x y}$
Answer
Correct option: B.
$\frac{x y}{x+y}$
B
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