M.C.Q. [1 Marks Each] - MATHS STD 7 Questions - Vidyadip

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M.C.Q. [1 Marks Each]

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15 questions · timed · auto-graded

MCQ 11 Mark

If the sides of a parallelogram are increased to twice of its original lengths, how much will the perimeter of the new parallelogram?

A
1.5 times
✓
2 times
C
3 times
D
4 times

Answer

Correct option: B.

2 times

(B) 2 times
Let the length and breadth of the parallelogram be $l$ and $b$ respectively.
$
\begin{aligned}
\therefore \text { Perimeter of parallelogram } & =2(\text { length }+ \text { Base }) \\
& =2(l+b)
\end{aligned}
$
If both sides of parallelogram are increased to twice i.e. $2 b$ and $2 l$.
$
\begin{aligned}
\text { So, new perimeter } & =2(2 l+2 b)=2 \times 2(l+b) \\
& =2 \text { times of original perimeter }
\end{aligned}
$
Hence, the perimeter of parallelogram will be increased 2 times.

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MCQ 21 Mark

When the circumference and area of a circle are numerically equal, what is the diameter numerically equal to (use $\pi=22 / 7$ )

A
area
B
circumference
C
271
✓
4

Answer

Correct option: D.

4

D

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MCQ 31 Mark

What will be the area of the largest square that can be cut out of a circle of radius 10 cm ? (use $\pi=22 / 7$ )

A
$100 cm^2$
✓
$200 cm^2$
C
$300 cm^2$
D
$400 cm^2$

Answer

Correct option: B.

$200 cm^2$

(B) $200 cm^2$

Given, radius of circle $=10 cm$
The diagonal of square will be equal to the diameter of the circle.
Let sides of square be $x cm$.
Now, in right angled $\triangle A D C$
$
\begin{aligned}
A C^2 & =A D^2+D C^2 \\
(20)^2 & =x^2+x^2 \\
400 & =2 x^2 \\
x^2 & =200
\end{aligned}
$
Hence, $200 cm^2$ area of largest square.

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MCQ 41 Mark

Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are $14 cm \times 11 cm$, then radius of the circle is (use $\pi=22 / 7$ )

A
21 cm
B
10.5 cm
C
14 cm
✓
7 cm

Answer

Correct option: D.

7 cm

D

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MCQ 51 Mark

In the following figure, EFGH is a parallelogram, altitudes FK and Fl are 8 cm and 4 cm. If $E F=10 cm$, then the area of EFGH is

A
$20 cm^2$
B
$32 cm^2$
✓
$40 cm^2$
D
$80 cm^2$

Answer

Correct option: C.

$40 cm^2$

(C) $40 cm^2$
Let us consider $E F G H$ is a parallelogram in the figure from the question.
Given, $E F=H G=10 cm$
We know that area of parallelogram $E F G H$
$
\begin{array}{l}
=\text { Base } \times \text { Corresponding height } \\
=10 \times 4 \\
=40 cm^2
\end{array}
$

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MCQ 61 Mark

The area of circle is $2464 m^2$, then the diameter is (use $\pi=22 / 7$ )

✓
56 m
B
154 m
C
54 m
D
None of these

Answer

Correct option: A.

56 m

A

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MCQ 71 Mark

Circumference of a circle of diameter 6 cm is (use $\pi=22 / 7$ )

✓
18.85 cm
B
18 cm
C
18.5 cm
D
180 cm

Answer

Correct option: A.

18.85 cm

A

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MCQ 81 Mark

If radius of a circle is increased to twice its original length, how much will the area of the circle increase? (use $\pi=22 / 7$ )

A
1.4 times
✓
2 times
C
3 times
D
4 times

Answer

Correct option: B.

2 times

(B) 2 times
Let $r$ be the radius of the circle.
$\therefore$ Area of circle $=\pi r^2$
If the radius is increased to twice its original length, then radius will be $2 r$.
$
\begin{aligned}
\text { Now, area of new circle } & =\pi(2 r)^2=4 \pi r^2 \\
& =4 \text { times of original area }
\end{aligned}
$

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MCQ 91 Mark

A cow is tied with a rope of 7 m . The grass grazed field by the cow is

A
$144 m^2$
B
$140 m^2$
✓
$154 m^2$
D
$164 m^2$

Answer

Correct option: C.

$154 m^2$

C

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MCQ 101 Mark

The radii of two concentric circles are 7 m and 9 m . The area enclosed between them is (use $\pi=3.14$ )

A
$90 m^2$
B
$90.47 m^2$
C
$100 m^2$
✓
$100.48 m^2$

Answer

Correct option: D.

$100.48 m^2$

D

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MCQ 111 Mark

Area of a right angled triangle is $3 0 cm ^2$. If its smallest side is 5 cm , then its hypotenuse is

✓
13 cm
B
14 cm
C
15 cm
D
6 cm

Answer

Correct option: A.

13 cm

A

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MCQ 121 Mark

If the base of triangle is doubled and its height is halved, then the area of resulting triangle

A
increasing
B
decreasing
C
doubles
✓
remains same

Answer

Correct option: D.

remains same

(D) remains same
Let base and height of the triangle be $b$ and $h$, respectively.
If the base of triangle is doubled i.e. $2 b$ and height of triangle is halved i.e. $\frac{h}{2}$
So, area of triangle $=\frac{1}{2} \times$ Base $\times$ Height
$
=\frac{1}{2} \times 2 b \times \frac{h}{2}=\frac{1}{2} b h
$
Hence, area of resulting triangle will be remains same.

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MCQ 131 Mark

The area of the parallelogram $A B C D$ in which $A B=6.2 cm$ and the perpendicular from $C$ on $A B$ is 5 cm , is

A
$30 cm^2$
B
$29 cm^2$
C
$28 cm^2$
✓
$31 cm^2$

Answer

Correct option: D.

$31 cm^2$

D

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MCQ 141 Mark

If height of parallelogram is doubled and base tripled, then its area becomes .

A
2 times
B
3 times
✓
6 times
D
12 times

Answer

Correct option: C.

6 times

(C) 6 times
Let $h$ be the height of parallelogram and $b$ be the base of parallelogram.
Given, height of parallelogram is doubled i.e. $2 h$ and base of parallelogram is tripled i.e. $3 b$
$\therefore$ Area of parallelogram $=$ Base $\times$ Height
$
\begin{array}{l}
=3 b \times 2 h \\
=6 b h
\end{array}
$
Hence, area of parallelogram becomes 6 times.

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MCQ 151 Mark

Find the length of a parallelogram whose area is $246 cm^2$ and base is 20 cm .

A
1.23 cm
B
13.2 cm
✓
12.3 cm
D
1.32 cm

Answer

Correct option: C.

12.3 cm

C

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M.C.Q. [1 Marks Each] - MATHS STD 7 Questions - Vidyadip