M.C.Q. [1 Marks Each]

MCQ 11 Mark

$0.7499$ lies between:

A
$0.7$ and $0.74$
B
$0.75$ and $0.79$
✓
$0.749$ and $0.75$
D
$0.74992$ and $0.75$

Answer

Correct option: C.

$0.749$ and $0.75$

Since, $0.7499$ is greater than $0.749$ and less than $0.75$.
Therefore, $0.7499$ lies between $0.749$ and $0.75$.
$0.749 < 0.7499 < 0.75$

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MCQ 21 Mark

In Fig. $\angle\text{XYZ}$ cannot be written as:

A
$\angle\text{Y}$
✓
$\angle\text{XYZ}$
C
$\angle\text{ZYX}$
D
$\angle\text{XYP}$

Answer

Correct option: B.

$\angle\text{XYZ}$

$\angle\text{XYZ}$ can be written as $\angle\text{Y},\angle\text{ZYX},\angle\text{XYP}$ and $\angle\text{PYX.}$
So, $\angle\text{XYZ}$ cannot be written as $\angle\text{ZXY}.$

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MCQ 31 Mark

Measures of the two angles between hour and minute hands of a clock at $9\ O’$ clock are:

A
$60^\circ , 300^\circ $
✓
$270^\circ , 90^\circ $
C
$75^\circ , 285^\circ $
D
$30^\circ , 330^\circ $

Answer

Correct option: B.

$270^\circ , 90^\circ $

Clearly, $\angle1=90^\circ$
And $\angle2=\ \text{Reflex}\ \text{of}\ \angle1=360^\circ-90^\circ=270^\circ$
Note: A reflex angle is more than $180^\circ $ but less than $360^\circ $. For any acute angle $\theta,$ its reflex angle is $(360^\circ-\theta).$

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MCQ 41 Mark

The two consecutive integers between which the fraction $\frac57$ lies are:

A
$5$ and $6$.
✓
$0$ and $1$.
C
$5$ and $7$.
D
$6$ and $7$.

Answer

Correct option: B.

$0$ and $1$.

We know that, if the numerator is less than the denominator, then the value of fraction is less than $1$.
Hence, the fraction $\frac57$ lies between $0$ and $1$.

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MCQ 51 Mark

If the sum of two angles is greater than $180^\circ $, then which of the following is not possible for the two angles?

A
One obtuse angle and one acute angle.
B
One reflex angle and one acute angle.
C
Two obtuse angles.
✓
Two right angles.

Answer

Correct option: D.

Two right angles.

Because sum of two right angles is equal to $180^\circ$ .
Note:
An acute angle is less than $90^\circ$ .
A right angle is equal to $90^\circ $.
An obtuse angle is more than $90^\circ$ but less than $180^\circ$ .
A reflex angle is more than $180^\circ$ but less than $360^\circ$ .

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MCQ 61 Mark

If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?

A
One obtuse angle and one acute angle.
B
One right angle and one acute angle.
C
wo acute angles.
✓
Two right angles.

Answer

Correct option: D.

Two right angles.

Because sum of two right angles is equal to $180^\circ $.

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MCQ 71 Mark

The decimal $0.238$ is equal to the fraction:

✓
$\frac{119}{500}$
B
$\frac{238}{25}$
C
$\frac{119}{25}$
D
$\frac{119}{50}$

Answer

Correct option: A.

$\frac{119}{500}$

Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their $HCF$.
$HCF$ of $238$ and $1000$ is $2]$

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MCQ 81 Mark

$13.572$ correct to the tenths place is:

A
$10$
B
$13.57$
C
$14.5$
✓
$13.6$

Answer

Correct option: D.

$13.6$

Here, the digit at hundredths place is $7$ which is greater than $5$. So, the digit at the tenths place $(5)$ will be increased by $1$ and digits at the hundredths and thousandths place will be written as equal to zero.

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MCQ 91 Mark

Which of the following fractions is the smallest?

A
$\frac78$
B
$\frac98$
✓
$\frac38$
D
$\frac58$

Answer

Correct option: C.

$\frac38$

Since, for comparing fractions with same denominators, fraction with smaller numerator is
Hence, $\frac38$ is the smallest fraction.

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MCQ 101 Mark

The number of angles in Fig. is:

A
$3$
B
$4$
C
$5$
✓
$6$

Answer

Correct option: D.

$6$

$5$

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MCQ 111 Mark

The number of diagonals in a septagon is:

A
$21$
B
$42$
C
$7$
✓
$14$

Answer

Correct option: D.

$14$

$=\frac{\text{n}(3-2)}{2}$
A septagon is a polygon having seven sides, i.e. $n = 7$
Number of diagonals in septagon $=\frac{7(7-3)}{2}=14$
Note: A diagonal is a line segment joining two non-consecutive vertices of a polygon.

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MCQ 121 Mark

$0. 023$ lies between:

A
$0.2$ and $0.3$
✓
$0.02$ and $0.03$
C
$0.03$ and $0.029$
D
$0.026$ and $0.024$

Answer

Correct option: B.

$0.02$ and $0.03$

Since, $0.023$ is greater than $0.02$ and less than $0.03.$
Therefore, $0.023$ lies between $0.02$ and $0.03.$

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MCQ 131 Mark

On subtracting $\frac{5}{9}$ from $\frac{19}{9},$ the result is:

A
$\frac{24}{9}$
✓
$\frac{14}{9}$
C
$\frac{14}{18}$
D
$\frac{14}{0}$

Answer

Correct option: B.

$\frac{14}{9}$

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MCQ 141 Mark

A polygon has prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is:

A
$4$
✓
$5$
C
$7$
D
$10$

Answer

Correct option: B.

$5$

So, sides of polygon $(n) = 5$
$=\frac{\text{n}(\text{n}-3)}{2}=\frac{5(5-3)}{2}=5$

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MCQ 151 Mark

Which of the following decimals is the greatest?

A
$0.182$
B
$0.0925$
✓
$0.29$
D
$0.038$

Answer

Correct option: C.

$0.29$

Here, whole part of all numbers are same and tenths part of $0.0925$ and $0.038$ are same
i.e. 0 and tenths part of $0.182 =\frac{1}{10}$
$=\frac{2}{10}$
Hence, $0.29$ is the greatest.

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MCQ 161 Mark

$\frac{11}7$ can be expressed in the form:

A
$7\frac14$
B
$4\frac17$
✓
$1\frac47$
D
$11\frac17$

Answer

Correct option: C.

$1\frac47$

$=\frac{11}7$
$\begin{gathered}\text { 7)11(1 } \\ \frac{7}{4}\end{gathered}$
$\text{Quotient}\ \frac{\text{Remainder}}{\text{Denominator}}$

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MCQ 171 Mark

Which of the following is not in the lowest form?

A
$\frac75$
✓
$\frac{15}{20}$
C
$\frac{13}{33}$
D
$\frac{27}{28}$

Answer

Correct option: B.

$\frac{15}{20}$

We know that, a fraction is in its lowest form, if the $\text{HCF}$ of their numerator and denominator is $1$. Now,
$\frac{7}{5}$, $\frac{15}{20}$ , $\frac{13}{33}$, $\frac{27}{28}$

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MCQ 181 Mark

If $\frac{5}8=\frac{20}{\text{p}},$ then value of $p$ is:

A
$23$
B
$2$
✓
$32$
D
$16$

Answer

Correct option: C.

$32$

Given, $\frac{5}{8}=\frac{20}{\text{p}}$
We know that, if two fractions $\frac{\text{a}}{\text{b}}$ and $\frac{\text{c}}{\text{d}}$ are equvalent.
Then, $\text{a}\times\text{d}=\text{b}\times\text{c}$
Hence, the value of $p$ is $32$.

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MCQ 191 Mark

Number of line segments in Fig is:

A
$5$
✓
$10$
C
$15$
D
$20$

Answer

Correct option: B.

$10$

A line segment is a part of a line that has finite length and is bounded by two distinct end points.
In the given figure, the line segments are $AS, SC, CD, DE, AC, AD, BD, BE, CE$ and $AE$.
Hence, there are $10$ line segments in the given figure.

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MCQ 201 Mark

$15.8 - 6.73$ is equal to:

A
$8.07$
✓
$9.07$
C
$9.13$
D
$9.25$

Answer

Correct option: B.

$9.07$

Converting the given decimals to like decimals, we have $15.80$ and $6.73.$
$\ \ 15.80\\ \underline{-\ 6.73\ \ }\\ \underline{\ \ \ \ \ 9.07\ \ }$
Note: Decimals having the same number of digits on the right of the decimal point are known as like decimals.

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MCQ 211 Mark

Which of the following is not equal to the others?

A
$\frac68$
B
$\frac{12}{16}$
✓
$\frac{15}{25}$
D
$\frac{18}{24}$

Answer

Correct option: C.

$\frac{15}{25}$

$\frac68=\frac{6\div2}{8\div2}=\frac34[\because$ $HCF$ of $6$ and $8$ is $2 ]$
$\frac{12}{16}=\frac{12\div4}{16\div4}=\frac34[\because$ $HCF$ of $12$ and $16$ is $4 ]$
$\frac{15}{25}=\frac{15\div5}{25\div5}=\frac35[\because$ $HCF$ of $15$ and $25$ is $5 ]$
$\frac{18}{24}=\frac{18\div6}{24\div6}=\frac34[\because$ $HCF$ of $18$ and $24$ is $6 ]$

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MCQ 221 Mark

Which of the following decimals is the smallest?

A
$0.27$
B
$1.5$
✓
$0.082$
D
$0.103$

Answer

Correct option: C.

$0.082$

Here, whole part of numbers $0.27, 0.082$ and $0.103$ are same and is less than $1.5.$
Now, we will compare the tenths part of $0.27, 0.082$ and $0.103.$
Tenths part of $0.27 = \frac{2}{10}$
Tenths part of $0.082 = \frac{0}{10}$ and tenths part of $0.103 =\frac{1}{10}$
Hence, $0.082$ is the smallest decimal.

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MCQ 231 Mark

The mixed fraction $5\frac47$ can be expressed as:

A
$\frac{33}7$
✓
$\frac{39}7{}$
C
$\frac{33}4{}$
D
$\frac{39}{4}$

Answer

Correct option: B.

$\frac{39}7{}$

We hve, mixed fraction $=5\frac47$
$=\Big(\frac{\text{Whole number}\times\text{Denominator}+\text{Numerator}}{\text{Denominator}}\Big)$
$=\frac{5\times7+4}{7}=\frac{39}{7}$

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MCQ 241 Mark

Number of lines passing through five points such that no three of them are collinear is:

✓
$10$
B
$5$
C
$20$
D
$8$

Answer

Correct option: A.

$10$

Let $A, B, C, D$ and $E$ be five points such that no three of them are $4$ collinear.
Lines passing through these five points are $AB, BC, CD, DE, EA, BA, BD, CE, AC$ and $AD.$

Note: Three or more points are said to be collinear, if they lie on a single straight line.

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MCQ 251 Mark

If a bicycle wheel has $48$ spokes, then the angle between a pair of two consecutive spokes is:

A
$\Big(5\frac{1}{2}\Big)$
✓
$\Big(7\frac{1}{2}\Big)$
C
$\Big(\frac{2}{11}\Big)$
D
$\Big(\frac{2}{15}\Big)$

Answer

Correct option: B.

$\Big(7\frac{1}{2}\Big)$

Angle between a pair of two consecutive spokes = Complete angle,
Number of spokes $48.2$

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MCQ 261 Mark

$0.07 + 0.008$ is equal to:

A
$0.15$
B
$0.015$
✓
$0.078$
D
$0.78$

Answer

Correct option: C.

$0.078$

Converting the given decimals to like decimals, we have $0.070$ and $0.008.$
$\ \ \ \ 0.070\\\underline{+\ 0.008\ \ }\\\underline{\ \ \ \ 0.078\ \ }$
Note: Decimals having the same number of digits on the right of the decimal point are known as like decimals.

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MCQ 271 Mark

When $\frac14$ is written with denominator as $12$, its numerator is:

✓
$3.$
B
$8.$
C
$24.$
D
$12.$

Answer

Correct option: A.

$3.$

Given, fraction $=\frac14$
In order to make the denominator as $12$, we will multiply the denominator by $3$ and we will also multiply the numerator by $3$, to make it an equivalent fraction.
$\frac14$ is $12$, then its numerator will be $3$.

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MATHS M.C.Q. [1 Marks Each]

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