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MCQOPTIONS
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.
| 51. |
The dimensions of a rectangle are 51 m and 49 m respectively while side of a square is 50 m. Which of the following statements is correct ? |
| A. | iagonal of the square and the rectangle are equal. |
| B. | iagonal of both the geometrical figures intersect at right angles. |
| C. | he perimeters of both the geometrical figure are equal. |
| D. | oth the geometrical figures are of the same area. |
| Answer» D. oth the geometrical figures are of the same area. | |
| 52. |
An order was placed for supply of carpet of breadth 3 metres, the length of carpet was 1.44 times of breadth. Subsequently the breadth and length were increased by 25 and 40 percent respectively. At the rate of 45 per square metre, what would be the increase in the cost of the carpet ? |
| A. | s. 398.80 |
| B. | s. 437.40 |
| C. | s. 583.20 |
| D. | s. 1020.60 |
| E. | one of these |
| Answer» C. s. 583.20 | |
| 53. |
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, the n the area of the park (in square metre) is : |
| A. | 5360 square metre |
| B. | 53600 square metre |
| C. | 0720 square metre |
| D. | 07200 square metre |
| Answer» C. 0720 square metre | |
| 54. |
What is the minimum number of identical square tiles required to tile a floor of length 6 m 24 cm and width 4 m 80 cm ? |
| A. | 22 |
| B. | 30 |
| C. | 48 |
| D. | 65 |
| E. | one of these |
| Answer» C. 48 | |
| 55. |
A garden is 24 m long and 14 m wide. There is a path 1 m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 20 cm × 20 cm, the number of tiles required to cover the path is : |
| A. | 00 |
| B. | 800 |
| C. | 000 |
| D. | 150 |
| Answer» D. 150 | |
| 56. |
If each side of a rectangle is increased by 50%, its area will increase by : |
| A. | 0% |
| B. | 25% |
| C. | 50% |
| D. | 00% |
| Answer» C. 50% | |
| 57. |
The ratio between the length and the perimeter of a rectangular plot is 1 : 3. What is the ratio between the length and breadth of the of the plot ? |
| A. | : 2 |
| B. | : 1 |
| C. | : 2 |
| D. | ata inadequate |
| Answer» C. : 2 | |
| 58. |
A rectangular carpet has an area of 120 m2 and a perimeter of 46 metres. The length of its diagonal is : |
| A. | 3 metres |
| B. | 3 metres |
| C. | 7 metres |
| D. | 1 metres |
| Answer» D. 1 metres | |
| 59. |
If the circumference of a circle is decreased by 50% then the percentage of decrease in itsarea is : |
| A. | 5% |
| B. | 0% |
| C. | 0% |
| D. | 5% |
| Answer» E. | |
| 60. |
The ratio of the areas of the in-circle and the circum-circle of a square is : |
| A. | : 2 |
| B. | $\sqrt 2 :1$$ |
| C. | $1:\sqrt 2 $$ |
| D. | : 1 |
| Answer» B. $\sqrt 2 :1$$ | |
| 61. |
The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 7 cm. What is the circumference of a semi-circle whose diameter is equal to the side of the square ? (rounded off to two decimal places) |
| A. | 3.57 cm |
| B. | 8.57 cm |
| C. | 2.46 cm |
| D. | 7.47 cm |
| E. | one of these |
| Answer» B. 8.57 cm | |
| 62. |
A toothedwheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many revolutions will the smaller wheel make the larger one makes 15 revolutions ? |
| A. | 8 |
| B. | 0 |
| C. | 5 |
| D. | 0 |
| Answer» D. 0 | |
| 63. |
The perimeter of a circular field and a square field are equal. If the area of the square field is 12100 m2, the area of the circular field will be : |
| A. | 5200 m2 |
| B. | 5300 m2 |
| C. | 5400 m2 |
| D. | 5500 m2 |
| Answer» D. 5500 m2 | |
| 64. |
Which of the following figures has the longest perimeter ? |
| A. | square of side 10 cm |
| B. | rectangular of sides 12 cm and 9 cm |
| C. | circle of radius 7 cm |
| D. | rhombus of side 9 cm |
| Answer» D. rhombus of side 9 cm | |
| 65. |
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $$12\sqrt 2 $$ cm, then the area of the triangle is : |
| A. | $24\sqrt 2 $$ cm2 |
| B. | $24\sqrt 3 $$ cm2 |
| C. | $48\sqrt 3 $$ cm2 |
| D. | $64\sqrt 3 $$ cm2 |
| Answer» E. | |
| 66. |
Arectangle of certain dimension is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. The perimeter of the figure ABCPQRA (in cm) is : |
| A. | 4 cm |
| B. | 8 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» B. 8 cm | |
| 67. |
A boundary wall around a rectangular plot is constructed at a total cost of Rs. 46000 at the rate of Rs. 200 per metre. What is the area of the plot if the respective ratio between the breadth and the length of the plot is 10 : 13 ? (in sq. metre) |
| A. | 750 sq. m2 |
| B. | 250 sq. m2 |
| C. | 000 sq. m2 |
| D. | 900 sq. m2 |
| Answer» C. 000 sq. m2 | |
| 68. |
In order to reach his office on time, Mr. Roy goes through the middle passage of a round fort which he takes 14 minutes to pass through. However, on a certain day, due to repairs, the straight road being blocked, he had to take the roundabout way as a result of which he reached his office late. How late was he ? |
| A. | min |
| B. | min |
| C. | 2 min |
| D. | $$\frac{1}{2}$$ min |
| Answer» C. 2 min | |
| 69. |
The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeter of the triangle : |
| A. | 1.5 cm |
| B. | 1.7 cm |
| C. | 2.3 cm |
| D. | 2.7 cm |
| Answer» E. | |
| 70. |
The circumferences of the front and rear wheels of a bicycle are 3.5 m and 3 m respectively. If the vehicle is moving at a speed of 15 m/sec, the shortest time in which both the wheels will make a whole number of turns is : |
| A. | .4 seconds |
| B. | .1 seconds |
| C. | seconds |
| D. | .4 seconds |
| Answer» B. .1 seconds | |
| 71. |
The circumference of a circle is equal to the side of a square whose area measures 407044 sq.cm. What is the area of the circle ? |
| A. | 2583.2 sq.cm |
| B. | 2378.5 sq.cm |
| C. | 9483.4 sq.cm |
| D. | 1263.5 sq.cm |
| E. | annot be determined |
| Answer» C. 9483.4 sq.cm | |
| 72. |
A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq.ft per day, they approximately what time will be taken by the cow to graze the whole field ? |
| A. | days |
| B. | days |
| C. | 8 days |
| D. | 4 days |
| E. | ome of these |
| Answer» C. 8 days | |
| 73. |
The area of a triangle is equal to the area of a square whose each side is 60 metres. The height of the triangle is 90 metres. The base of the triangle will be : |
| A. | 5 m |
| B. | 5 m |
| C. | 0 m |
| D. | 5 m |
| Answer» D. 5 m | |
| 74. |
If the length of a rectangle is increased by 50% and breadth is decreased by 25%, what is the percentage change in its area ? |
| A. | 2.5% increase |
| B. | 0% increase |
| C. | 5% increase |
| D. | 0% decrease |
| Answer» B. 0% increase | |
| 75. |
The ratio of length and breadth of a rectangle is 3 : 2 respectively. The respective ratio of its perimeter and area is 5 : 9. What is the breadth of the rectangle in metres ? |
| A. | m |
| B. | m |
| C. | m |
| D. | 3 m |
| E. | one of these |
| Answer» B. m | |
| 76. |
The height of a triangle is equal to the perimeter of a square whose diagonal is $$8\sqrt 2 $$ metre and the base of the same triangle is equal to the side of a square whose area is 729 sq.metre. What is the area of the triangle ? (in sq. metre) |
| A. | 78 sq.metre |
| B. | 06 sq.metre |
| C. | 72 sq.metre |
| D. | 32 sq.metre |
| Answer» E. | |
| 77. |
Three circle of radius 3.5 cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is : |
| A. | .967 cm2 |
| B. | .975 cm2 |
| C. | 9.67 cm2 |
| D. | 1.21 cm2 |
| Answer» B. .975 cm2 | |
| 78. |
The radius of the circum-circle of an equilateral triangle of side 12 cm is : |
| A. | $\frac{{4\sqrt 2 }}{3}$$ |
| B. | $4\sqrt 2 $$ |
| C. | $\frac{{4\sqrt 3 }}{3}$$ |
| D. | $4\sqrt 3 $$ |
| Answer» E. | |
| 79. |
In the given diagram, ABCD is a square and semi-circular regions have been added to it by drawing two semi-circles with AB and CD as diameters. If the total area of the three regions is 350 sq.cm, then the length of the side of the square is equal to : |
| A. | $5\sqrt 7 $$ cm |
| B. | cm |
| C. | 3 cm |
| D. | 4 cm |
| Answer» E. | |
| 80. |
The circumference of the front wheel of a cart is 40 ft long and that of the back wheel is 48 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel ? |
| A. | 50 ft |
| B. | 50 ft |
| C. | 200 ft |
| D. | 450 ft |
| Answer» D. 450 ft | |
| 81. |
A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, then its area will be : |
| A. | 520 cm2 |
| B. | 400 cm2 |
| C. | 744 cm2 |
| D. | 800 cm2 |
| Answer» D. 800 cm2 | |
| 82. |
The area of a circle of radius 5 is numerically what percent of its circumference ? |
| A. | 00% |
| B. | 25% |
| C. | 40% |
| D. | 50% |
| Answer» E. | |
| 83. |
The area of a right-angled triangle is 20 sq.cm and one of the sides containing the right angle is 4 cm. The altitude on the hypotenuse is : |
| A. | $\frac{{41}}{{\sqrt {34} }}{\text{ cm}}$$ |
| B. | $\sqrt {\frac{{41}}{{40}}} {\text{ cm}}$$ |
| C. | $\frac{{29}}{{\sqrt {20} }}{\text{ cm}}$$ |
| D. | $\frac{{20}}{{\sqrt {29} }}{\text{ cm}}$$ |
| Answer» E. | |
| 84. |
One side of a right-angled triangle is twice the other, and the hypotenuse is 10 cm. The area of the triangle is : |
| A. | 0 cm2 |
| B. | $33\frac{1}{3}$$ cm2 |
| C. | 0 cm2 |
| D. | 0 cm2 |
| Answer» B. $33\frac{1}{3}$$ cm2 | |
| 85. |
The ratio of the areas of a square of side 6 cm and an equilateral triangle of side 6 cm is : |
| A. | : $$\sqrt 3 $$ |
| B. | : $$\sqrt 3 $$ |
| C. | : $$\sqrt 3 $$ |
| D. | : $$\sqrt 3 $$ |
| Answer» E. | |
| 86. |
A rectangle becomes a square when its length is reduced by 10 units and its breadth is increased by 5 units. but by this process the area of the rectangle is reduced by 210 sq.units. The area of the rectangle (A) in square units is : |
| A. | 950 > A < 2900 |
| B. | 900 > A > 2875 |
| C. | 925 < A > 2875 |
| D. | 925 > A > 2900 |
| Answer» E. | |
| 87. |
The area of two similar triangles are 12 cm2 and 48 cm2. If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is : |
| A. | .525 cm |
| B. | .2 cm |
| C. | .41 cm |
| D. | .4 cm |
| Answer» C. .41 cm | |
| 88. |
The cost of papering the four walls of a room is Rs. 475. Each one of the length, breadth and height of another room is double that of this room. The cost of papering the walls of this new room is : |
| A. | s. 712.50 |
| B. | s. 950 |
| C. | s. 1425 |
| D. | s. 1900 |
| Answer» E. | |
| 89. |
If the area of a square increase by 69%, then the side of the square increases by : |
| A. | 3% |
| B. | 0% |
| C. | 9% |
| D. | 9% |
| Answer» C. 9% | |
| 90. |
A room is $$12\frac{1}{4}$$ m long and 7 m wide. The maximum length of a square tile to fill the floor of the room with whole number of tiles should be : |
| A. | 25 cm |
| B. | 50 cm |
| C. | 75 m |
| D. | 00 cm |
| Answer» D. 00 cm | |
| 91. |
A rectangular field has dimensions 25 m by 15 m. Two mutually perpendicular passages, 2 m wide have been left in its central part and grass has been grown in rest of the field. The area (in sq. metres) under the grass is : |
| A. | 95 m2 |
| B. | 99 m2 |
| C. | 00 m2 |
| D. | 75 m2 |
| Answer» C. 00 m2 | |
| 92. |
The circumference of a circle is 100 cm. The side of a square inscribed in the circle is : |
| A. | $50\sqrt 2 \,c{m^2}$$ |
| B. | $\frac{{100}}{\pi }\,c{m^2}$$ |
| C. | $\frac{{50\sqrt 2 }}{\pi }\,c{m^2}$$ |
| D. | $\frac{{100\sqrt 2 }}{\pi }\,c{m^2}$$ |
| Answer» D. $\frac{{100\sqrt 2 }}{\pi }\,c{m^2}$$ | |
| 93. |
The ratio of the outer and the inner perimeters of a circular path is 23 : 22. If the path is 5 metres wide, the diameter of the inner circle is : |
| A. | 5 m |
| B. | 10 m |
| C. | 20 m |
| D. | 30 m |
| Answer» D. 30 m | |
| 94. |
The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is : |
| A. | 9.46 km/hr |
| B. | 1.68 km/hr |
| C. | 2.72 km/hr |
| D. | 6.25 km/hr |
| Answer» C. 2.72 km/hr | |
| 95. |
The radius of a circle is 20% more than the height of a right-angled triangle. The base of the triangle is 36 cm. If the area of triangle and circle be equal, what will be area of circle ? |
| A. | 2 cm2 |
| B. | 28 cm2 |
| C. | 44 cm2 |
| D. | 16 cm2 |
| E. | annot be determined |
| Answer» B. 28 cm2 | |
| 96. |
If the area of the trapezium whose parallel sides are 6 cm and 10 cm is 32 sq. cm, then the distance between the parallel sides is : |
| A. | cm |
| B. | cm |
| C. | cm |
| D. | cm |
| Answer» C. cm | |
| 97. |
An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square ? |
| A. | : $$\sqrt 3 $$ |
| B. | : $$\sqrt 3 $$ |
| C. | $\sqrt 3 $$ : 2 |
| D. | $\sqrt 3 $$ : 4 |
| Answer» D. $\sqrt 3 $$ : 4 | |
| 98. |
The area of a triangle is 216 cm2 and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is : |
| A. | cm |
| B. | 2 cm |
| C. | 6 cm |
| D. | 2 cm |
| Answer» E. | |
| 99. |
If each side of a square is increased by 10%, its area will be increased by : |
| A. | 0% |
| B. | 1% |
| C. | 4% |
| D. | 00% |
| Answer» C. 4% | |
| 100. |
A big rectangular plot of area 4320 m2 is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot ? |
| A. | 60 m × 27 m |
| B. | 40 m × 18 m |
| C. | 20 m × 36 m |
| D. | 35 m × 32 m |
| Answer» D. 35 m × 32 m | |