MCQ 11 Mark
The length of each side of a square having area $A$ sq. units is
- A$\frac{A}{l}$ units
- B$\frac{ A }{4}$ units
- ✓$\sqrt{ A }$ units
- D$2 \sqrt{A}$ units
Answer
View full question & answer→Correct option: C.
$\sqrt{ A }$ units
C
Questions
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23 questions · timed · auto-graded
MCQ 21 Mark
Karan drew the side view of the staircase of a building as shown here. In the drawing, $A B C D$ is a rectangle of dimensions $8 cm \times 3 cm, D E F G$ is a square whose side is equal to double of CD and GHIJ is a rectangle in which GH $=4 A B$ and $H I=\frac{5}{4} B C$. The perimeter of the figure is :
- ✓72 cm
- B90 cm
- C45 cm
- D36 cm
Answer
View full question & answer→Correct option: A.
72 cm
A
MCQ 31 Mark
The breadth of a rectangle having area $A$ sq. units and length $l$ units is
- ✓$\frac{ A }{2}$ units
- B$\frac{A^2}{l}$ units
- C$\frac{A}{l^2}$ units
- D$\frac{A^2}{l^2}$ units
Answer
View full question & answer→Correct option: A.
$\frac{ A }{2}$ units
A
MCQ 41 Mark
Ravi and Manoj were finding the perimeter and area of a square plot of land. Ravi calculated the area and Manoj calculated the perimeter of the plot. Coincidently, they both got the same answer. The length of the side of the plotis :
- A5 units
- B2 units
- C3 units
- ✓4 units
Answer
View full question & answer→Correct option: D.
4 units
D
MCQ 51 Mark
An area of 1 are is equal to
- A$1 m^2$
- B$10 m^2$
- ✓$100 m^2$
- D$10000 m^2$
Answer
View full question & answer→Correct option: C.
$100 m^2$
C
MCQ 61 Mark
Aditi was decorating a cardboard of length 1 m 45 cm and breadth 80 cm by using fancy border of width 20 cm. She placed the borders, such that it cuts at rights angles, by overlapping through the centre of the board and parallel to its sides, as shown in the figure. She painted the remaining area of the board. How much area did she paint?
- A$6700 cm^2$
- B$7100 cm^2$
- ✓$7500 cm^2$
- D$15,700 cm^2$
Answer
View full question & answer→Correct option: C.
$7500 cm^2$
C
MCQ 71 Mark
The area of a square and that of a square drawn on its diagonal are in the ratio
- A$1: \sqrt{2}$
- ✓1 : 2
- C$1: 2 \sqrt{2}$
- D1 : 4
Answer
View full question & answer→Correct option: B.
1 : 2
B
MCQ 81 Mark
People of a village take good care of plants, trees and animals. They marked some land for their pets (cow and ox) and plants. The ratio of the areas kept for animals and plants together to the total area of the land is :
- A75 : 21
- B125 : 39
- ✓29 : 150
- D29 : 121
Answer
View full question & answer→Correct option: C.
29 : 150
C
MCQ 91 Mark
The length of each diagonal of a square of side a units is
- ✓$a \sqrt{2}$ units
- B$2 a$ units
- C$4 a$ units
- D$2 \sqrt{2} a$ units
Answer
View full question & answer→Correct option: A.
$a \sqrt{2}$ units
A
MCQ 101 Mark
A wire is bent into the shape as shown. It is made up of 5 semi-circles. What is the length of the wire? (Take pi = 3.14 )
- A27 cm
- ✓56.52 cm
- C45 cm
- D27.92 cm
Answer
View full question & answer→Correct option: B.
56.52 cm
B
MCQ 111 Mark
The perimeter of a rhombus of each side measuring a units is
- A$a \sqrt{2}$ units
- ✓$4 a$ units
- C$a^2$ units
- D$\frac{a^2}{2}$ units
Answer
View full question & answer→Correct option: B.
$4 a$ units
B
MCQ 121 Mark
A parallelogram is given alongside. If AM = 9 cm and AN = 7.5 cm, which of these shows the area of the triangle ACD?
- ✓$\frac{1}{2}(8.5 \times 9) cm ^2$
- B$\frac{1}{2}(10.2 \times 9) cm ^2$.
- C$(10.2 \times 9) cm ^2$
- D$(9 \times 8.5) cm ^2$
Answer
View full question & answer→Correct option: A.
$\frac{1}{2}(8.5 \times 9) cm ^2$
A
MCQ 131 Mark
The length of a rectangular field is thrice its breadth. If its perimeter is 560 m , then its length is
- A120 m
- B180 m
- ✓210 m
- D240 m
Answer
View full question & answer→Correct option: C.
210 m
C
MCQ 141 Mark
Given below is the map of a society park.
The park has four flower beds of equal area. The dotted line represents the path for running and jogging. What is the area of the running and jogging path?
The park has four flower beds of equal area. The dotted line represents the path for running and jogging. What is the area of the running and jogging path?
- ✓$3519 m^2$
- B$3600 m^2$
- C$8495.25 m^2$
- D$37,500 m^2$
Answer
View full question & answer→Correct option: A.
$3519 m^2$
A
MCQ 151 Mark
The length of a rectangle is 12 cm and the length of its diagonal is 15 cm . The area of the rectangle is
- A$72 cm^2$
- B$96 cm^2$
- ✓$108 cm^2$
- D$120 cm^2$
Answer
View full question & answer→Correct option: C.
$108 cm^2$
C
MCQ 161 Mark
The area of a ring formed between two concentric circles of radii $R$ and $r$ (where $R>r$ ) is equal to
- A$\pi( R +r)$
- B$2 \pi( R -r)$
- ✓$\pi\left( R ^2-r^2\right)$
- D$2 \pi\left( R ^2+r^2\right)$
Answer
View full question & answer→Correct option: C.
$\pi\left( R ^2-r^2\right)$
C
MCQ 171 Mark
The lengths of the diagonals of a rhombus are 14 cm and 24 cm respectively. Its area is
- A$154 cm^2$
- ✓$168 cm^2$
- C$182 cm^2$
- D$192 cm^2$
Answer
View full question & answer→Correct option: B.
$168 cm^2$
B
MCQ 181 Mark
The area of the parallelogram shown in the figure given below, is equal to
- A$\frac{1}{2} \times a \times b$
- ✓$a \times h$
- C$h \times h$
- D$\frac{1}{2} \times(a+b) \times h$
Answer
View full question & answer→Correct option: B.
$a \times h$
B
MCQ 191 Mark
The sides of a triangle measure $13 cm, 14 cm$ and 15 cm . Its area is
- ✓$84 cm^2$
- B$91 cm^2$
- C$105 cm^2$
- D$130 cm^2$
Answer
View full question & answer→Correct option: A.
$84 cm^2$
A
MCQ 201 Mark
Area of an equilateral triangle of side a units is
- A$\frac{\sqrt{3}}{2} a^2$ sq. units
- ✓$\frac{\sqrt{3}}{4} a^2$ sq. units
- C$\frac{3}{\sqrt{2}} a^2$ sq. units
- D$\frac{3}{2 \sqrt{2}} a^2$ sq. units
Answer
View full question & answer→Correct option: B.
$\frac{\sqrt{3}}{4} a^2$ sq. units
B
MCQ 211 Mark
Height of an equilateral triangle with each side of length a units is
- A$a \sqrt{2}$ units
- B$\frac{a}{\sqrt{2}}$ units
- C$\frac{\sqrt{3}}{4} a$ units
- ✓$\frac{\sqrt{3}}{2}$ units
Answer
View full question & answer→Correct option: D.
$\frac{\sqrt{3}}{2}$ units
D
MCQ 221 Mark
The given figure is a rectangle. If the length increases by 3 cm and breadth decreases by 1 cm, which of these statements is correct?
- ✓The perimeter increases by 4 cm and the area remains the same.
- BThe perimeter remains the same and the area increases by 4 cm.
- CThe perimeter and the area both increase by 4 cm.
- DThe perimeter and the area both remain the same.
Answer
View full question & answer→Correct option: A.
The perimeter increases by 4 cm and the area remains the same.
A
MCQ 231 Mark
The length of the diagonal of a rectangle having length $l$ units and breadth $b$ units is
- A$(l+b)$ units
- B$\sqrt{l^2-b^2}$ units
- C$\left(l^2+b^2-l b\right)$ units
- ✓$\sqrt{l^2+b^2}$ units
Answer
View full question & answer→Correct option: D.
$\sqrt{l^2+b^2}$ units
D