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MCQ

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25 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Tick $(\checkmark)$ the correct answer of the following: $\sqrt{0.9}\times\sqrt{1.6}=\ ?$
  • A
    $0.12$
  • B
    $1.2$
  • $0.75$
  • D
    $12$
Answer
Correct option: C.
$0.75$
$=\sqrt{0.9\times1.6}$
$=\sqrt{1.44}$
$=\sqrt{1.2\times1.2}$
$=1.2$
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MCQ 21 Mark
Tick $(\checkmark)$ the correct answer of the following:
Which of the following is a pythagorean triplet?
  • A
    $(2,3,5)$
  • B
    $(5,7,9)$
  • C
    $(6,9,11)$
  • $(8,15,17)$
Answer
Correct option: D.
$(8,15,17)$
$(8)^2+(15)^2$
$=64+225$
$=289$
$=(17)^2$
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MCQ 31 Mark
Mark $(\checkmark)$ against the correct answer $\sqrt{2\frac{1}{4}}=\ ?$
  • A
    $2\frac{1}{2}$
  • B
    $1\frac{1}{4}$
  • $1\frac{1}{2}$
  • D
    None of these.
Answer
Correct option: C.
$1\frac{1}{2}$
$\sqrt{2\frac{1}{4}}$
$=\sqrt{\frac{9}{4}}$
$=\frac{\sqrt{9}}{\sqrt{4}}$
$=\frac{\sqrt{3\times3}}{\sqrt{2\times2}}$
$=\frac{3}{2}$
$=1\frac{1}{2}$
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MCQ 41 Mark
Tick $(\checkmark)$ the correct answer of the following: The square of a proper fraction is:
  • A
    Larger than the fraction.
  • Smaller than the fraction.
  • C
    Equal to the fraction.
  • D
    None of these.
Answer
Correct option: B.
Smaller than the fraction.
The square of a proper fraction is the smaller than the given fraction.
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MCQ 51 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following numbers is not a perfect square?
Hint: The number $81000$ ends in an odd number of zeros.
  • A
    $3600$
  • B
    $6400$
  • $81000$
  • D
    $2500$
Answer
Correct option: C.
$81000$
$81000$ as it has odd number of zeros at its end.
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MCQ 61 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following cannot be the unit digit of a perfect square number?
  • A
    $6$
  • B
    $1$
  • C
    $9$
  • $8$
Answer
Correct option: D.
$8$
$8,$ as the number with $8$ in the end cannot be perfect square.
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MCQ 71 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following is the square of an odd number?
  • A
    $2116$
  • B
    $3844$
  • $1369$
  • D
    $2500$
Answer
Correct option: C.
$1369$
We know that the square of an odd number is also an odd number.
$\begin{array}{c|c}&37\\\hline3&\overline{13}\ \overline{69}\\&\ \ 9\ \ \ \ \ \\\hline67&\ \ 469\\&\ \ \ \ 469\\\hline&\ \ \ \ \ \times\\\end{array}$
$1369$ is the square of an odd number.
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MCQ 81 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following numbers is not a perfect square?
Hint: The number $2222$ ends in $2.$
  • A
    $1444$
  • B
    $3136$
  • C
    $961$
  • $2222$
Answer
Correct option: D.
$2222$
$2222$ as it has $2$ in the end.
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MCQ 91 Mark
Mark $(\checkmark)$ against the correct answer $\sqrt{72}\times\sqrt{98}=\ ?$
  • A
    $42$
  • $84$
  • C
    $64$
  • D
    $74$
Answer
Correct option: B.
$84$
$\sqrt{72}\times\sqrt{98}$
$=\sqrt{2\times2\times2\times3\times3}\times\sqrt{2\times7\times7}$
$=\sqrt{2\times2\times2\times3\times3\times2\times7\times7}$
$=2\times2\times3\times7$
$=84$
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MCQ 101 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following is the square of an even number?
  • $196$
  • B
    $441$
  • C
    $625$
  • D
    $529$
Answer
Correct option: A.
$196$
We know that the square on an even number is also an even number. $196$ is the square of an even number.
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MCQ 111 Mark
Mark $(\checkmark)$ against the correct answer Which of the following numbers is not a perfect square?
  • A
    $529$
  • B
    $961$
  • C
    $1024$
  • $1222$
Answer
Correct option: D.
$1222$
A number ending in $2, 3, 7$ or $8$ is not a perfect square.
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MCQ 121 Mark
Tick $(\checkmark)$ the correct answer of the following: $\frac{\sqrt{288}}{\sqrt{128}}=\ ?$
  • A
    $\frac{\sqrt3}{2}$
  • B
    $\frac{3}{\sqrt2}$
  • $\frac{3}{2}$
  • D
    $1.49$
Answer
Correct option: C.
$\frac{3}{2}$
$\frac{\sqrt{288}}{\sqrt{128}}$
$=\sqrt{\frac{288}{128}}$
$=\sqrt{\frac{9}{4}}$
$=\frac{3}{2}$
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MCQ 131 Mark
Mark $(\checkmark)$ against the correct answerWhat least number must be subtracted from $178$ to make it a perfect square?
  • A
    $6$
  • B
    $8$
  • $9$
  • D
    $7$
Answer
Correct option: C.
$9$
$178-9=169$
$\sqrt{169}=13$
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MCQ 141 Mark
Tick $(\checkmark)$ the correct answer of the following: $\sqrt{0.9}=\ ?$
  • A
    $0.3$
  • B
    $0.03$
  • C
    $0.33$
  • $0.94$
Answer
Correct option: D.
$0.94$
$\begin{array}{c|c}&0.94\\\hline9&0.\overline{90}\ \overline{00}\\&\ \ \ \ 81\ \ \ \ \ \\\hline184&\ \ \ \ \ \ 900\\&\ \ \ \ \ \ \ 736\\\hline&\ \ \ \ \ \ \ \ 164\\\end{array}$
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MCQ 151 Mark
Tick $(\checkmark)$ the correct answer of the following:
What least number must be added to $15370$ to make it a perfect square?
  • A
    $4$
  • $6$
  • C
    $8$
  • D
    $9$
Answer
Correct option: B.
$6$
Finding the square root of $15370$ by division method
We get Remainder $=261$
Now $(123)^2=15129$
and $(124)^2=15379$
The least number to be added
$=15129-15379=6$
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MCQ 161 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following numbers is not a perfect square?
Hint: The number $1843 $ ends in $3.$
  • $1843$
  • B
    $3721$
  • C
    $1024$
  • D
    $1296$
Answer
Correct option: A.
$1843$
$1843$ as it has $3$ in the end.
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MCQ 171 Mark
Tick $(\checkmark)$ the correct answer of the following: What least number must be subtracted from $176$ to make it a perfect square?
  • A
    $16$
  • B
    $10$
  • $7$
  • D
    $4$
Answer
Correct option: C.
$7$
$\begin{array}{c|c}&13\\\hline1&\bar{1}\ \overline{76}\\&1\ \ \ \ \ \\\hline23&\ \ \ 76\\&\ \ \ \ 69\\\hline&\ \ \ \ \ \ 7\\\end{array}$
$\therefore$ Remainder $= 7$
$7$ must be subtracted
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MCQ 181 Mark
Tick $(\checkmark)$ the correct answer of the following:
What least number must be added to $526$ to make it a perfect square?
  • $3$
  • B
    $2$
  • C
    $1$
  • D
    $6$
Answer
Correct option: A.
$3$
Finding the square root of $526$ by division method
$\begin{array}{c|c}&22\\\hline2&{5}\ {26}\\&4\ \ \ \ \ \\\hline42&\ 126\\&\ \ \ \ 84\\\hline&\ \ \ \ \ \ 42\\\end{array}$
$\therefore$ We get Remainder $=42$
Now $(22)^2=484$ and $(23)^2=529$
The least number to be added $=529-526=3$
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MCQ 191 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following numbers is not a perfect square?
Hint: The number $5478$ ends in $8.$
  • A
    $7056$
  • B
    $3969$
  • $5478$
  • D
    $4624$
Answer
Correct option: C.
$5478$
$5478$ as it has $8$ at in the end.
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MCQ 201 Mark
Tick $(\checkmark)$ the correct answer of the following: Which of the following numbers is not a perfect square?
Hint: The number $4787$ ends in $7.$
  • A
    $1156$
  • $4787$
  • C
    $2704$
  • D
    $3969$
Answer
Correct option: B.
$4787$
$4787$ as it has $7$ in the end.
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MCQ 211 Mark
Tick $(\checkmark)$ the correct answer of the following:
If n is odd, then $(1+3+5+7+\ldots$ to $n$ terms $)$ is equal to:
  • A
    $\left(n^2+1\right)$
  • B
    $\left(n^2-1\right)$
  • $n^2$
  • D
    $\left(2 n^2+1\right)$
Answer
Correct option: C.
$n^2$
$1+3+5+7+\ldots$ to $n$ terms when $n$ is an odd is equal to $n^2$.
Sum of first n odd natural number is $n ^2$.
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MCQ 221 Mark
Mark $(\checkmark)$ against the correct answer What least number must be added to $521$ to make it a perfect square?
  • A
    $3$
  • B
    $4$
  • C
    $5$
  • $8$
Answer
Correct option: D.
$8$
$521+8=259$
$\sqrt{529}=23$
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MCQ 231 Mark
Mark $(\checkmark)$ against the correct answer Which of the following is the square of an even number?
  • A
    $529$
  • B
    $961$
  • $1764$
  • D
    $2809$
Answer
Correct option: C.
$1764$
The square of an even number is always even.
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MCQ 241 Mark
Tick $(\checkmark)$ the correct answer of the following: $\sqrt{2\frac{1}{4}}=\ ?$
  • A
    $2\frac{1}{2}$
  • $1\frac{1}{2}$
  • C
    $1\frac{1}{4}$
  • D
    None of these
Answer
Correct option: B.
$1\frac{1}{2}$
$\sqrt{2\frac{1}{4}}$
$=\sqrt{\frac{9}{4}}$
$=\frac{3}{2}$
$=1\frac{1}{2}$
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MCQ 251 Mark
Tick $(\checkmark)$ the correct answer of the following: $\sqrt{0.1}=\ ?$
  • A
    $0.1$
  • B
    $0.01$
  • $0.316$
  • D
    None of these.
Answer
Correct option: C.
$0.316$
$\begin{array}{c|c}&0.316\\\hline3&0.\overline{10}\ \overline{00}\ \overline{00}\\&9\ \ \ \ \ \\\hline61&100\\&\ \ \ 61\\\hline626&\ \ \ \ \ \ \ 3900\\&\ \ \ \ \ \ \ 3756\\\hline&\ \ \ \ \ \ \ \ \ \ 144\\\end{array}$
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