Questions

M.C.Q. [1 Marks Each]

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44 questions · 36 auto-graded MCQ + 8 self-marked written.

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
    $(2, 3, 5)$
  • $(5, 7, 9)$
  • C
    $(6, 9, 11)$
  • D
    $(8, 15, 17)$
Answer
Correct option: B.
$(5, 7, 9)$
$(8)^2+ (15)^2$
$= 64 + 225$
$= 289$
$= (17)^2$
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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.
$8$
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.
$5478$
$547$8 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 $(1 + 3 + 5 + 7 + ...$ 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 + ...$ 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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MCQ 281 Mark
$\sqrt{2 \frac{1}{4}}=?$
  • A
    $2 \frac{1}{2}$
  • B
    $1 \frac{1}{2}$
  • C
    $1 \frac{1}{4}$
  • D
    none of these
Answer
B. $1 \frac{1}{2}$
Hint. $\sqrt{2 \frac{1}{4}}=\sqrt{\frac{9}{4}}=\frac{3}{2}=1 \frac{1}{2}$.
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MCQ 291 Mark
$\frac{\sqrt{288}}{\sqrt{128}}=?$
  • A
    $\frac{\sqrt{3}}{2}$
  • B
    $\frac{3}{\sqrt{2}}$
  • C
    $\frac{3}{2}$
  • D
    1.49
Answer
C. $\frac{3}{2}$ 
Hint. $\frac{\sqrt{288}}{\sqrt{128}}=\sqrt{\frac{288}{128}}=\sqrt{\frac{9}{4}}=\frac{3}{2}$.
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MCQ 301 Mark
$\sqrt{0.9} \times \sqrt{1.6}=?$
  • A
    0.12
  • B
    1.2
  • C
    0.75
  • D
    12
Answer
B. 1.2
Hint. $\sqrt{0.9} \times \sqrt{1.6}=\sqrt{1.44}=1.2$.
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MCQ 351 Mark
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
C
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MCQ 361 Mark
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)
D
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MCQ 371 Mark
If $n$ is odd, then $(1+3+5+7+ . . .$ to $n$ terms $)$ is equal to
  • A
    $\left(n^2+1\right)$
  • B
    $\left(n^2-1\right)$
  • $n^2$
  • D
    $\left(2n^2+1\right)$
Answer
Correct option: C.
$n^2$
C
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MCQ 381 Mark
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
B
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MCQ 391 Mark
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
D
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MCQ 401 Mark
Which of the following numbers is not a perfect square?
  • A
    3600
  • B
    6400
  • C
    81000
  • D
    2500
Answer
C. 81000
Hint. The number 81000 ends in an odd number of zeros.
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MCQ 411 Mark
Which of the following numbers is not a perfect square?
  • A
    1156
  • B
    4787
  • C
    2704
  • D
    3969
Answer
B. 4787
Hint. The number 4787 ends in 7.
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MCQ 421 Mark
Which of the following numbers is not a perfect square?
  • A
    1843
  • B
    3721
  • C
    1024
  • D
    1296
Answer
A. 1843
Hint. The number 1843 ends in 3.
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MCQ 431 Mark
Which of the following numbers is not a perfect square?
  • A
    1444
  • B
    3136
  • C
    961
  • D
    2222
Answer
D. 2222
Hint. The number 2222 ends in 2.
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MCQ 441 Mark
Which of the following numbers is not a perfect square?
  • A
    7056
  • B
    3969
  • C
    5478
  • D
    4624
Answer
C. 5478
Hint. The number 5478 ends in 8 .
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