MCQ

MCQ 11 Mark

Given that $\sqrt{1521}=39$, the value of $\sqrt{0.1521}+\sqrt{15.21}$ is

A
$42.9$
✓
$4.29$
C
$3.51$
D
$35.1$

Answer

Correct option: B.

$4.29$

$\sqrt{1521}=39$, then value of $\sqrt{0.1521}+\sqrt{15.21}$ $=0.39+3.9=4.29$

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MCQ 21 Mark

$n^{th}$ triangular number is

✓
$\frac{n(n+1)}{2}$
B
$\frac{n(n-1)}{2}$
C
$\frac{(n-1)(n+1)}{2}$
D
None of these

Answer

Correct option: A.

$\frac{n(n+1)}{2}$

$n^{th}$ triangular number $=\frac{n(n+1)}{2}$

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MCQ 31 Mark

If one number of Pythagoream triplet is $6,$ then the triplet is

A
$(4, 5, 6)$
B
$(5, 6, 7)$
✓
$(6, 7, 8)$
D
$(6, 8, 10)$

Answer

Correct option: C.

$(6, 7, 8)$

One number of a Pythagorean triplet is $6$
Let $2n = 6$
$\Rightarrow n = 3$
$n^2 – 1 = 3^2 – 1 = 8$ and $n^2 + 1 = 3^2 + 1 = 10$
$\therefore $ Triplet is $(6, 8, 10)$

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MCQ 41 Mark

The smallest number that should be subtracted from $300$ to make it a perfect square is

✓
$11$
B
$12$
C
$13$
D
$14$

Answer

Correct option: A.

$11$

$300$
Taking the square root of $300,$
we see that $11$ is left unpaired.
$\therefore 11$ be subtracted.

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MCQ 51 Mark

If the area of a square field is $961$ unit $2$, then the length of its side is

A
$29$ units
B
$41$ units
✓
$31 $ units
D
$39 $ units

Answer

Correct option: C.

$31 $ units

Area of a square $=961$ unit$^2$
$\therefore$ It's side $=\sqrt{961}$ unit $=31$ unit

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MCQ 61 Mark

The smallest number by which $162$ should be multiplied to make it a perfect square is

A
$4$
B
$3$
✓
$2$
D
$1$

Answer

Correct option: C.

$2$

$162 = 2 \times 3 \times 3 \times 3 \times 3$
For $2$ is left unpairs. So, by multiplying $162$ by $2,$
we get a perfect square.
$\therefore$ Required least number to be multiplied $= 2 $

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MCQ 71 Mark

$\sqrt{3 \frac{6}{25}}$ is equal to

A
$\frac{5}{9}$
B
$\frac{4}{5}$
✓
$\frac{9}{5}$
D
$\frac{5}{4}$

Answer

Correct option: C.

$\frac{9}{5}$

$\sqrt{3 \frac{6}{25}}=\sqrt{\frac{81}{25}}=\frac{\sqrt{81}}{\sqrt{25}}$
$=\frac{9}{5}$
$=1 \frac{4}{5}$

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MCQ 81 Mark

The smallest number by which $75$ should be divided to make it a perfect square is

A
$1$
B
$2$
✓
$3$
D
$4$

Answer

Correct option: C.

$3$

$75 = 3 \times 5 \times 5$
Factor $3$ is unpaired
$\therefore$ By dividing $75$ by $3$, we get a perfect square of $5$.

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MCQ 91 Mark

$\sqrt{0.0016}$ is equal to

✓
$0.04$
B
$0.004$
C
$0.4$
D
none of these

Answer

Correct option: A.

$0.04$

$\sqrt{0.0016}=0.04$

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MCQ 101 Mark

$\sqrt{208+\sqrt{2304}}$ is equal to

A
$18$
✓
$16$
C
$14$
D
$22$

Answer

Correct option: B.

$16$

$\sqrt{208+\sqrt{2304}}$
$=\sqrt{208+48}$
$=\sqrt{256}=16$

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MCQ 111 Mark

$1+ 3 + 5 + 7 + ………..$ up to n terms is equal to

✓
$n^2 – 1$
B
$(n + 1)^2$
C
$n^2+1$
D
$n^2$

Answer

Correct option: A.

$n^2 – 1$

$1 + 3 + 5 + 7 + ……..$ up to n terms is equal to $n^2 + 1$

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MCQ 121 Mark

Square of an even number is always

✓
even
B
odd
C
even or odd
D
none of these

Answer

Correct option: A.

even

Square of an even number is always even.

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MCQ 131 Mark

How many natural numbers lie between $25^2$ and $26^2$?

A
$49$
✓
$50$
C
$51$
D
$52$

Answer

Correct option: B.

$50$

Natural numbers between $25^2$ and $26^2$
$25 + 26 – 1 = 50$

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