Explore topic-wise MCQs in Arithmetic Ability.

This section includes 924 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

151.

The area of a rhombus with side 13 cm and one diagonal 10 cm will be :

A. 40 cm2
B. 30 cm2
C. 20 cm2
D. 10 cm2
Answer» D. 10 cm2
152.

A carpenter is designing a table. The table will be in the form of a rectangle whose length is 4 feet more thanits width. How long should the table be if the carpenter wants the area of the table to be 45 sq. ft ?

A. ft
B. ft
C. 1 ft
D. 3 ft
Answer» C. 1 ft
153.

A piece of wire when bent to from a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is :

A. 16 cm
B. 33 cm
C. 32 cm
D. 68 cm
Answer» D. 68 cm
154.

The circumference of a circle is 10% more than the perimeter of a square. If the difference between the area of the circle and that of the square is 216 cm2, how much does the diagonal of the square measure ?

A. $14\sqrt 2 $$
B. $14$$
C. $20$$
D. $20\sqrt 2 $$
Answer» E.
155.

The area of a circle whose radius is the diagonal of a square whose area is 4 sq. units is :

A. 6π sq. units
B. π sq. units
C. π sq. units
D. π sq. units
Answer» E.
156.

If the radius of a circle is increased by 200%, then its area will increase by :

A. 00%
B. 00%
C. 00%
D. 00%
Answer» D. 00%
157.

The magnitude of the area of a circle is seven times that of its circumference. What is the circumference (in units)of the circle ?

A. 8 units
B. 32 units
C. 16 units
D. annot be determined
E. one of these
Answer» B. 32 units
158.

A diagonal of a rhombus is 6 cm. If its area is 24 cm2 then the length of each side of the rhombus is :

A. cm
B. cm
C. cm
D. cm
Answer» B. cm
159.

The areas of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio :

A. 5 : 36
B. 6 : 25
C. : 6
D. $\sqrt 5 $$ : $$\sqrt 6 $$
Answer» D. $\sqrt 5 $$ : $$\sqrt 6 $$
160.

The perimeter of an isosceles triangle is equal to 14 cm and the lateral side is to the base in the ratio 5 : 4. The area of the triangle is :

A. 1 cm2
B. $0.5\sqrt {21} $$ cm2
C. $1.5\sqrt {21} $$ cm2
D. $2\sqrt {21} $$ cm2
Answer» E.
161.

If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then which of the following statements is false ?

A. = R
B. + T = 2R
C. = 2T
D. = $$\frac{1}{2}$$R
Answer» C. = 2T
162.

The perimeter of a triangle is 30 cm and its area is 30 cm2. If the largest side measures 13 cm, then what is the length of the smallest side of the triangle ?

A. cm
B. cm
C. cm
D. cm
Answer» D. cm
163.

The area of a triangle whose sides are of lengths 3 cm, 4 cm and 5 cm is :

A. cm2
B. cm2
C. 0 cm2
D. one of these
Answer» C. 0 cm2
164.

A rectangular plank $$\sqrt 2 $$ metre wide is placed symmetrically on the diagonal of a square of side 8 metres as shown in the figure. The area of the plank is :

A. $7\sqrt 2 $$sq. m
B. 4 sq. m
C. 8 sq. m
D. $$16\sqrt 2 $$ - 3) sq. m
Answer» C. 8 sq. m
165.

Area of a square natural lake is 50 sq. kms. A driver wishing to cross the lake diagonally, will have to swim a distance of :

A. 0 miles
B. 2 miles
C. 5 miles
D. one of these
Answer» E.
166.

If the circumference of a circle is 100 units, then what will be the length of the arc described by an angle of 20 degrees ?

A. .55 units
B. .86 units
C. .85 units
D. one of these
Answer» B. .86 units
167.

The circumference of a circular ground is 88 metres. A strip of land, 3 metres wide, inside and along the circumference of the ground is to be levelled. What is the budgeted expenditure if the levelling costs Rs. 7 per square metre ?

A. s. 1050
B. s. 1125
C. s. 1325
D. s. 1650
Answer» E.
168.

The ratio of the radii of two circles is 1 : 3. Then the ratio of their areas is :

A. : 3
B. : 6
C. : 9
D. one of these
Answer» D. one of these
169.

The circumferences of two circle are 132 metres and 176 metres respectively. What is the difference between the area of the larger circle and the smaller circle ?

A. 048 m2
B. 076 m2
C. 078 m2
D. 090 m2
E. one of these
Answer» D. 090 m2
170.

Total area of 64 small squares of a chessboard is 400 sq. cm. There is 3 cm wide border around the chess board. What is the length of the side of the chess board ?

A. 7 cm
B. 0 cm
C. 3 cm
D. 6 cm
Answer» E.
171.

If the length and breadth of a rectangular field are increased, the area increases by 50%. If the increase in length was 20 %, by what percentage was the breadth increased ?

A. 0%
B. 5%
C. 0%
D. ata inadequate
E. one of these
Answer» C. 0%
172.

How many metres of carpet 63 cm wide will be required to cover the floor of a room 14 metres by 9 metres ?

A. 85 metres
B. 00 metres
C. 10 metres
D. 20 metres
Answer» C. 10 metres
173.

The area of a rectangular field is 2100 sq. meters. If the field is 60 metres long, what is its perimeter ?

A. 80 m
B. 10 m
C. 40 m
D. annot be determined
E. one of these
Answer» F.
174.

The diameter of a circle is equal to the perimeter of a square whose area is 3136 cm2 . What is the circumference of the circle ?

A. 52 cm
B. 04 cm
C. 9424 cm
D. 024 cm
Answer» C. 9424 cm
175.

A skating champion moves along the circumference of a circle of radius 28 m in 44 sec. How many seconds will it take her to move along the perimeter of a hexagon of side 48 m ?

A. 8 sec
B. 8 sec
C. 2 sec
D. 4 sec
E. 0 sec
Answer» D. 4 sec
176.

A triangle with sides 13 cm, 14 cm and 15 cm is inscribed in a circle. The radius of the circle is :

A. cm
B. cm
C. cm
D. .125 cm
Answer» E.
177.

A horse is tied at the corner of a rectangular field whose length is 20 m and width is 16 m, with a rope whose length is 14 m. Find the area which the horse can graze :

A. 44 sq. m
B. 54 sq. m
C. 56 sq. m
D. 64 sq. m
Answer» C. 56 sq. m
178.

A circular grassy plot of land, 42 cm is diameter, has a path 3.5 m wide running around it outside. The cost of gravelling the path at Rs. 4 per square metre is :

A. s. 1002
B. s. 1802
C. s. 2002
D. s. 3002
Answer» D. s. 3002
179.

The ratio of the radii of two circle is 3 : 2. What is the ratio of their circumferences ?

A. : 3
B. : 2
C. : 9
D. one of these
Answer» C. : 9
180.

The circumference of a circle, whose area is 24.64 m2 , is :

A. 4.64 m
B. 6.36 m
C. 7.60 m
D. 8.40 m
Answer» D. 8.40 m
181.

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is :

A. 0$$\sqrt 2 $$ m
B. 00 m
C. 00$$\sqrt 2 $$ m
D. 00 m
Answer» E.
182.

In an isosceles triangle, the measure of each of the equal sides is 10 cm and the angle between them is 45° . The area of the triangle is :

A. $25 \,c{m^2}$$
B. $\frac{{25}}{2}\sqrt 2 \,c{m^2}$$
C. $25\sqrt 2 \,c{m^2}$$
D. $25\sqrt 3 \,c{m^2}$$
Answer» D. $25\sqrt 3 \,c{m^2}$$
183.

In ΔPQR, side PQ = 32 cm and side PR = 25 cm. What is the area of ΔPQR ?

A. $2\sqrt {154} {\text{ sq}}{\text{.cm}}$$
B. $3\sqrt {154} {\text{ sq}}{\text{.cm}}$$
C. $4\sqrt {308} {\text{ sq}}{\text{.cm}}$$
D. annot be determined
E. one of these
Answer» C. $4\sqrt {308} {\text{ sq}}{\text{.cm}}$$
184.

Twenty-nine times the area of a square is one square metre less than six times the area of the second square and nine times its side exceeds the perimeter of other square by 1 metre. The difference in the sides of these squares is :

A. m
B. $\frac{{54}}{{11}}$$ m
C. m
D. 1 m
Answer» D. 1 m
185.

What will be the length of the diagonal of that square plot whose area is equal to the area of a rectangular plot of length 45 metres and breadth 40 metres ?

A. 5.5 metres
B. 0 metres
C. 5 metres
D. ata inadequate
E. one of these
Answer» C. 5 metres
186.

The following squares represent the monthly income of two familiesIf the monthly income of family A is Rs. 40000, the monthly income of family B is ?

A. s. 50000
B. s. 60000
C. s. 90000
D. s. 120000
Answer» D. s. 120000
187.

The length of a rectangle is increased by 60%. By what percent would the width have to be decreased so as to maintain the same area ?

A. $37\frac{1}{2}\% $$
B. $60\% $$
C. $75\% $$
D. $120\% $$
Answer» B. $60\% $$
188.

An artist has completed one-fourth of a rectangular oil painting. When he paint another 100 square centimetres of the painting, he would complete three-quarters of the painting. If the height of the oil painting is 10 cm, determine the length (in cm) of the oil panting.

A. 0 cm
B. 5 cm
C. 0 cm
D. 5 cm
Answer» D. 5 cm
189.

The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per square metre.

A. s. 15000
B. s. 15500
C. s. 15600
D. s. 16500
Answer» E.
190.

The diagonal of a rectangle is $$\sqrt {41} $$ cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

A. cm
B. 8 cm
C. 0 cm
D. 1 cm
Answer» C. 0 cm
191.

The diagonal of the floor of a rectangular closet is $$7\frac{1}{2}$$ feet. The shorter side of the closet is $$4\frac{1}{2}$$ feet. What is the area of the closet in square feet?

A. $5\frac{1}{4}$$ sq. ft.
B. $13\frac{1}{2}$$ sq. ft.
C. 7 sq. ft.
D. 7 sq. ft.
Answer» D. 7 sq. ft.
192.

The area of the four walls of a room is 120 m2and the length is twice the breadth. If the height of the room is 4 m, then the area of the floor is :

A. 8 m2
B. 9 m2
C. 0 m2
D. 2 m2
Answer» D. 2 m2
193.

The ratio of the area of a square to that of the square drawn on diagonal is :

A. : 1
B. : $$\sqrt 2 $$
C. : 2
D. : 4
Answer» D. : 4
194.

A coaching institute wants to execute tiling work for one of its teaching halls 60 m long and 40 m wide with a square tile of 0.4 m side. If each tile costs Rs. 5, the total cost of tiles would be :

A. s. 60000
B. s. 65000
C. s. 70000
D. s. 75000
Answer» E.
195.

The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 sq. mtr, what is the breadth of the rectangular plot ?

A. 1 m
B. 8 m
C. 04 m
D. 53 m
E. one of these
Answer» B. 8 m
196.

A room 5m × 8 m is to be carpeted leaving a margin of 10 cm from each wall. If the cost of the carpet is Rs. 18 per sq. meter, the cost of carpeting the room will be :

A. s. 673.92
B. s. 682.46
C. s. 691.80
D. s. 702.60
Answer» B. s. 682.46
197.

The diagonal of a rectangular field is 15 metres and the difference between its length its length and width is 3 metres. The area of the rectangular field is :

A. $9{m^2}$$
B. $12{m^2}$$
C. $21{m^2}$$
D. $108{m^2}$$
Answer» E.
198.

The total cost of flooring a room at Rs. 8.50 per square metre is Rs. 510. If the length of the room is 8 m, its breadth is :

A. .5 m
B. .5 m
C. 0.5 m
D. 2.5 m
Answer» B. .5 m
199.

The base of an isosceles is 14 cm and its perimeter is 36 cm. Find its area.

A. 2$$\sqrt 2 $$ sq. cm
B. 2 sq. cm
C. 4 sq. cm
D. 8 sq. cm
Answer» B. 2 sq. cm
200.

If radius of a circle is 3 cm, what is the area of the circle in sq. cm ?

A. $6\pi $$ sq. cm
B. $9\pi $$ sq. cm
C. $\frac{{3\pi }}{2}$$ sq. cm
D. $9{\pi ^2}$$ sq. cm
Answer» C. $\frac{{3\pi }}{2}$$ sq. cm