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MATHS MCQ

Squares and Square Roots, Cubes and Cube Roots · ICSE STD 8 (ICSE - English Medium). 29 questions.

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29 questions · timed · auto-graded

MCQ 11 Mark
$\frac{\sqrt{288}}{\sqrt{128}}=?$
  • A
    $\frac{\sqrt{3}}{2}$
  • B
    $\frac{3}{\sqrt{2}}$
  • ✓
    $\frac{3}{2}$
  • D
    1.49
Answer
Correct option: C.
$\frac{3}{2}$
C
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MCQ 21 Mark
Which of the following cannot be the unit digit of a perfect square number?
  • A
    1
  • B
    6
  • ✓
    8
  • D
    9
Answer
Correct option: C.
8
C
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MCQ 31 Mark
What percentage of the numbers from 1 to 50 have squares that end in the digit 1 ?
  • A
    10
  • B
    5
  • C
    11
  • ✓
    20
Answer
Correct option: D.
20
D
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MCQ 41 Mark
For what value of * the statement $\left(\frac{*}{15}\right)\left(\frac{*}{135}\right)=1$ is true?
  • A
    15
  • B
    25
  • C
    35
  • ✓
    45
Answer
Correct option: D.
45
D
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MCQ 71 Mark
The value of $\sqrt{0.01}+\sqrt{0.81}+\sqrt{1.44}+\sqrt{0.0009}$ is
  • A
    2.03
  • B
    2.1
  • C
    2.11
  • ✓
    2.23
Answer
Correct option: D.
2.23
D
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MCQ 91 Mark
What is the smallest number by which 3600 be divided to make it a perfect cube?
  • A
    9
  • B
    50
  • C
    300
  • ✓
    450
Answer
Correct option: D.
450
D
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MCQ 101 Mark
By what least number must 21600 be multiplied so as to make it a perfect cube?
  • A
    6
  • ✓
    10
  • C
    20
  • D
    30
Answer
Correct option: B.
10
B
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MCQ 111 Mark
$\sqrt[3]{4 \frac{12}{125}}=?$
  • A
    $1 \frac{2}{5}$
  • ✓
    $1 \frac{3}{5}$
  • C
    $1 \frac{4}{5}$
  • D
    $2 \frac{2}{5}$
Answer
Correct option: B.
$1 \frac{3}{5}$
B
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MCQ 121 Mark
A gardener plants 17956 trees in such a way that there are as many rows as there are trees in a row. The number of trees in a row is
  • ✓
    134
  • B
    136
  • C
    144
  • D
    154
Answer
Correct option: A.
134
A
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MCQ 141 Mark
$\sqrt{110.25} \times \sqrt{0.01} \div \sqrt{0.0025}-\sqrt{420.25}$ equals
  • ✓
    0.5
  • B
    0.64
  • C
    0.73
  • D
    0.75
Answer
Correct option: A.
0.5
A
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MCQ 151 Mark
What is the least number to be added to 7700 to make it a perfect square?
  • ✓
    44
  • B
    77
  • C
    98
  • D
    131
Answer
Correct option: A.
44
A
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MCQ 161 Mark
The least number by which 1470 must be divided to get a number which is a perfect square, is
  • A
    5
  • B
    6
  • C
    15
  • ✓
    30
Answer
Correct option: D.
30
D
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MCQ 171 Mark
The least number by which 294 must be multiplied to make it a perfect square, is
  • A
    2
  • B
    3
  • ✓
    6
  • D
    24
Answer
Correct option: C.
6
C
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MCQ 201 Mark
$x$ and $y$ are two numbers $(x, y \neq 1)$ such that $x$ is a perfect cube and $y$ is a perfect square. Which of the following numbers is a perfect cube?
(i) $x \times y$$\quad$(ii) $x \times y^2$$\quad$(iii) $x^2 \times y^2$$\quad$(iv) $x^2 \times y^3$
  • A
    only (ii)
  • B
    only (i) and (ii)
  • ✓
    only (iv)
  • D
    only (i), (ii) and (iii)
Answer
Correct option: C.
only (iv)
C
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MCQ 211 Mark
If $x^2=4 \times 27 \times 108 \times 256$, then $\sqrt[3]{x}$ is equal to:
  • A
    8
  • B
    1728
  • ✓
    12
  • D
    144
Answer
Correct option: C.
12
C
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MCQ 221 Mark
If $x$ and $y$ are distinct positive rational numbers such that $x<\frac{1}{x}$ and $y>\frac{1}{y}$, then $x^3-y^3$ will be:
  • A
    positive
  • ✓
    negative
  • C
    neither positive nor negative
  • D
    none of these
Answer
Correct option: B.
negative
B
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MCQ 231 Mark
Product of three distinct non-cube numbers can't be a perfect cube. This 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 241 Mark
The cube of a given number can be smaller than the number itself. Is it true?
  • ✓
    Yes
  • B
    No
  • C
    Can't say anything
  • D
    None of these
Answer
Correct option: A.
Yes
A
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MCQ 251 Mark
There are 24 non square numbers between two consecutive perfect squares. The sum of these two consecutive perfect squares is:
  • A
    300
  • B
    305
  • C
    310
  • ✓
    313
Answer
Correct option: D.
313
D
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MCQ 261 Mark
For integers $x$ and $y$, if $y=x^2$, then $x=\sqrt{y}$.
  • ✓
    True
  • B
    False
  • C
    Cannot say anything
  • D
    None of these
Answer
Correct option: A.
True
A
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MCQ 291 Mark
If $\sqrt{21}=4.578$, then, the value of $\sqrt{\frac{3}{7}}$ is:
  • ✓
    0.654
  • B
    6.54
  • C
    1.526
  • D
    none of these
Answer
Correct option: A.
0.654
A
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