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MCQOPTIONS
This section includes 1292 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1051. |
If the length of a side of the square is equal to that of the diameter of a circle, then the ratio of the area of the square and that of the circle is: \(\left( {{\rm{\pi}} = {\rm{}}\frac{{22}}{7}} \right)\) |
| A. | 11 : 14 |
| B. | 28 : 11 |
| C. | 11 : 7 |
| D. | 14 : 11 |
| Answer» E. | |
| 1052. |
If the diagonal of a rectangle is 65 cm and one side is 63 cm long, then what is the length of the other side? |
| A. | 12 |
| B. | 14 |
| C. | 16 |
| D. | 20 |
| Answer» D. 20 | |
| 1053. |
Find the height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 |
| A. | 22 cm |
| B. | 44 cm |
| C. | 33 cm |
| D. | 11 cm |
| Answer» E. | |
| 1054. |
If the area of a square play ground is 265.69 m2, then the length of one side of the play ground is: |
| A. | 12.7 m |
| B. | 14.3 m |
| C. | 16.3 m |
| D. | 13.7 m |
| Answer» D. 13.7 m | |
| 1055. |
60 discs each of diameter 21 cm and thickness 1/3 cm are stacked one above the other to form a right circular cylinder. What is its volume in m3 if π = 22/7? |
| A. | 4.25 × 10-2 |
| B. | 8.05 × 10-3 |
| C. | 6.93 × 10-3 |
| D. | 7.62 × 10-2 |
| Answer» D. 7.62 × 10-2 | |
| 1056. |
In triangle ABC, D and E are two points on the sides AB and AC respectively so that DE || BC and AD/BD = 5/6. The ratio of the area of ∆ABC to the area of trapezium DECB is: |
| A. | 121 : 36 |
| B. | 121 : 96 |
| C. | 36 : 121 |
| D. | 96 : 121 |
| Answer» C. 36 : 121 | |
| 1057. |
A cuboid has dimensions 8 cm × 10 cm × 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area? |
| A. | 286.2 |
| B. | 314.32 |
| C. | 250.64 |
| D. | 386.5 |
| Answer» E. | |
| 1058. |
ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC? |
| A. | 90 |
| B. | 120 |
| C. | 135 |
| D. | 145 |
| Answer» C. 135 | |
| 1059. |
If the diagonals of two squares are in the ratio 1 : 5, then what is the ratio of their areas? |
| A. | 1 : 10 |
| B. | 5 : 1 |
| C. | 1 : 25 |
| D. | 1 : 5 |
| Answer» D. 1 : 5 | |
| 1060. |
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If the area of triangle ABC is 136 cm2, then the area of triangle BDE is equal to: |
| A. | 36 cm2 |
| B. | 38 cm2 |
| C. | 24 cm2 |
| D. | 34 cm2 |
| Answer» E. | |
| 1061. |
A rectangle whose length and width are in the ratio of 3∶4 and the perimeter of the rectangle is 28 cm. If the rectangle is inscribed in a circle, the shaded area of circle is ______ |
| A. | 22.57 cm2 |
| B. | 25.74 cm2 |
| C. | 27.43 cm2 |
| D. | 30.57 cm2 |
| E. | 33.12 cm2 |
| Answer» E. 33.12 cm2 | |
| 1062. |
If the radius of the base and the height of a right circular cylinder is increased by 10% each then the volume of the cylinder increases by: |
| A. | 3.31% |
| B. | 14.5% |
| C. | 33.1% |
| D. | 19.5% |
| Answer» D. 19.5% | |
| 1063. |
If the perimeter of a circle and a square are equal, then what is the ratio of the area of the circle to that of the square? |
| A. | 1 ∶ π |
| B. | 2 ∶ π |
| C. | 3 ∶ π |
| D. | 4 ∶ π |
| Answer» E. | |
| 1064. |
If the diameter of a hemisphere is 21 cm, then what is the volume (in cm3) of hemisphere? |
| A. | 2810 |
| B. | 1250.5 |
| C. | 1725.25 |
| D. | 2425.5 |
| Answer» E. | |
| 1065. |
A right circular cylinder has a diameter of 20 cm, and its curved surface area is 1000 cm2. What is the volume of the cylinder? |
| A. | 4000 cm3 |
| B. | 4500 cm3 |
| C. | 5000 cm3 |
| D. | 5200 cm3 |
| Answer» D. 5200 cm3 | |
| 1066. |
In ΔABC, the points M and N on the side AB are such that AN = AC and BM = BC. Find ∠ACB if ∠MCN = 43°. |
| A. | 94° |
| B. | 89° |
| C. | 90° |
| D. | 92° |
| Answer» B. 89° | |
| 1067. |
In the given figure, PQRS is a trapezium in which PM || SN, NR = 9 cm, PS = 12 cm, QM = NR and NR = SN. What is the area (in cm2) of trapezium? |
| A. | 170 |
| B. | 182 |
| C. | 189 |
| D. | 191 |
| Answer» D. 191 | |
| 1068. |
A cylinder of radius 14 cm and height 5 cm is melted and recast into cubes of edge length 2 cm. How many identical cubes will be obtained? |
| A. | 462 |
| B. | 385 |
| C. | 352 |
| D. | 429 |
| E. | 484 |
| Answer» C. 352 | |
| 1069. |
In a rectangular garden that measures 15 m by 12 m, a lawn is laid in the center, leaving a 2 m wide path all around. The area of the path in sq. meters is |
| A. | 92 |
| B. | 180 |
| C. | 88 |
| D. | 920 |
| Answer» B. 180 | |
| 1070. |
A car has two wipers which do not overlap. Each wiper has blade of length 18 cm sweeping through an angel of 126° Find the total area cleaned at each seep of the blades. Take π = 22 / 7 |
| A. | 196.5 cm2 |
| B. | 712.8 cm2 |
| C. | 356.8 cm2 |
| D. | 188.2 cm2 |
| Answer» C. 356.8 cm2 | |
| 1071. |
If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and the distance between these parallel sides is 6 cm. Find its area (in cm2). |
| A. | 27 |
| B. | 108 |
| C. | 54 |
| D. | 81 |
| Answer» D. 81 | |
| 1072. |
A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that 1/8th space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is |
| A. | 142244 |
| B. | 142296 |
| C. | 142496 |
| D. | 142596 |
| Answer» C. 142496 | |
| 1073. |
How many liters of water can be filled in a cuboidal water tank 2 m long, 5 m wide and 1.5 m deep? |
| A. | 150 liters |
| B. | 1500 liters |
| C. | 15000 liters |
| D. | 15 liters |
| Answer» D. 15 liters | |
| 1074. |
Area of square with diagonal 8√2 cm is: |
| A. | 64 cm2 |
| B. | 56 cm2 |
| C. | 29 cm2 |
| D. | 128 cm2 |
| Answer» B. 56 cm2 | |
| 1075. |
If the area of a square is 24, then what is the perimeter of the square? |
| A. | 2√6 |
| B. | 4√6 |
| C. | 16√6 |
| D. | 8√6 |
| Answer» E. | |
| 1076. |
How many litres of water can be stored in a tank of 1 m length, 1/2 m breadth, and 1/2 m height? |
| A. | 25,000 litres |
| B. | 250 litres |
| C. | 25 litres |
| D. | 2,500 litres |
| Answer» C. 25 litres | |
| 1077. |
If the volume of a room is 1680 m3 and the area of the floor is 112 m2. Find the height of the room. |
| A. | 15 m |
| B. | 20 m |
| C. | 10 m |
| D. | 8 m |
| Answer» B. 20 m | |
| 1078. |
A bicycle covers a distance of 11 km. It takes 5000 rounds to cover this distance. Find the diameter of the wheel. |
| A. | 110 cm |
| B. | 60 cm |
| C. | 220 cm |
| D. | 70 cm |
| Answer» E. | |
| 1079. |
If the four sides of a quadrilateral ABCD are tangential to a circle, then |
| A. | AC + AD = BD + CD |
| B. | AB + CD = BC + AD |
| C. | AB + CD = AC + BC |
| D. | AC + AD = BC + BD |
| Answer» C. AB + CD = AC + BC | |
| 1080. |
In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to? |
| A. | Ratio of OB to OD |
| B. | Ratio of BC to CD |
| C. | Ratio of AD to AB |
| D. | Ratio of AC to BD |
| Answer» B. Ratio of BC to CD | |
| 1081. |
If the area of a square is 16 cm2, then the area of the square joining the mid-points of the sides is: |
| A. | 32 cm2 |
| B. | 8 cm2 |
| C. | 4 cm2 |
| D. | 16 cm2 |
| Answer» C. 4 cm2 | |
| 1082. |
A tank 72 cm long, 60 cm high, and 36 cm wide contains water to a depth of 18 cm. A metal block 48 cm by 36 cm by 15 cm is put into the tank and totally submerged. What is the rise in water-level? |
| A. | 20 cm |
| B. | 10 cm |
| C. | 40 cm |
| D. | 30 cm |
| Answer» C. 40 cm | |
| 1083. |
In a right – angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is |
| A. | 3 cm |
| B. | 4 cm |
| C. | 6 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 1084. |
A spherical ball of radius 3 cm is melted and recast into three spherical balls of radius 1.5 cm and 2 cm and X cm. Find the value of X |
| A. | 5 cm |
| B. | 2.5 cm |
| C. | 3 cm |
| D. | 2.25 cm |
| Answer» C. 3 cm | |
| 1085. |
If in the following figure (not to scale), ∠DAB + ∠CBA = 90°, BC = AD, AB = 20 cm, CD = 10cm then the area of the quadrilateral ABCD is: |
| A. | 150 cm2 |
| B. | 120 cm2 |
| C. | 100 cm2 |
| D. | 75 cm2 |
| Answer» E. | |
| 1086. |
If the curved surface area of a right circular cylinder of height 8 cm is 96 π cm2, then its radius is: |
| A. | 4 cm |
| B. | 3 cm |
| C. | 6 cm |
| D. | 2 cm |
| Answer» D. 2 cm | |
| 1087. |
A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3 ? |
| A. | 2 cm |
| B. | 4 cm |
| C. | \(2 \frac{1}{2}\) cm |
| D. | 3 cm |
| Answer» B. 4 cm | |
| 1088. |
A cubical vessel can hold 1331 litre of water. The length of side of the vessel in m is |
| A. | 11 m |
| B. | 1.1 m |
| C. | 0.11 m |
| D. | None of these |
| Answer» C. 0.11 m | |
| 1089. |
A garden is built in the shape of a circle of 22 meters in diameter. There is a circular section of 4 m radius for the playground in the center of the garden. This circular ring made is said to be covered by grass. Find the area of this circular ring in square meters.A. 1470.8B. 572.6C. 330D. 707.14 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 1090. |
A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area? |
| A. | 77 |
| B. | 154 |
| C. | 87 |
| D. | 38.5 |
| Answer» B. 154 | |
| 1091. |
If S is the sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S – 3V) equal to? |
| A. | 572 cm3 |
| B. | 728 cm3 |
| C. | 1144 cm3 |
| D. | None of the above |
| Answer» D. None of the above | |
| 1092. |
Height of a right circular cylinder is 12 cm. If the radius of its base 21 cm, then what will be the curved surface area of the cylinder? |
| A. | 1544 cm2 |
| B. | 1584 cm2 |
| C. | 1456 cm2 |
| D. | 1632 cm2 |
| Answer» C. 1456 cm2 | |
| 1093. |
A square piece of cardboard with side 12 cm has a small square of 2 cm cut out from each of the corners. The resulting flaps are turned up to make a box 2 cm deep. The volume of the box is: |
| A. | 94 cm3 |
| B. | 102 cm3 |
| C. | 128 cm3 |
| D. | 112 cm3 |
| Answer» D. 112 cm3 | |
| 1094. |
If S be the curved surface area of a sphere and V be the volume of that sphere, then the relation between V and S of the sphere will be |
| A. | 36πV2 = S3 |
| B. | 64πV2 = S3 |
| C. | 64πV2 = S2 |
| D. | 36πV2 = S2 |
| Answer» B. 64πV2 = S3 | |
| 1095. |
If the length of a box is increased by 50% breadth is increased by 10% and height is decreased by 60% then by what % will the volume increase or decrease ? |
| A. | 0% |
| B. | 34% decrease |
| C. | 34% increase |
| D. | 20 % decrease |
| Answer» C. 34% increase | |
| 1096. |
Find the volume of the cuboid whose length is 24 cm, breadth is 18 cm and height is 16 cm. |
| A. | 5184 cm³ |
| B. | 7142 cm³ |
| C. | 7089 cm³ |
| D. | 6912 cm³ |
| Answer» E. | |
| 1097. |
A river 3 m deep and 40 m wide is flowing at the rate of 2 km/hr and falls into sea. What is the amount of water in litres that will fall into the sea from this river in a minute? |
| A. | 40,00,000 litres |
| B. | 4,00,000 litres |
| C. | 49,000 litres |
| D. | 4,000 litres |
| Answer» B. 4,00,000 litres | |
| 1098. |
A right circular cone has a height 8 cm. If the radius of its base is 6 cm, then what is its total surface area? |
| A. | 96π cm2 |
| B. | 69π cm2 |
| C. | 54π cm2 |
| D. | 48π cm2 |
| Answer» B. 69π cm2 | |
| 1099. |
If the diagonal of a square is 10 cm, then what is the area (in cm2) of the square? |
| A. | 50√2 |
| B. | 50 |
| C. | 25√2 |
| D. | 25 |
| Answer» C. 25√2 | |
| 1100. |
If length and breadth of a cuboid is increased by 20%, then by how much percent the height should be reduced to keep the volume same? |
| A. | 40% |
| B. | 44% |
| C. | \(30\frac{5}{9}\)% |
| D. | \(33\frac{4}{7}\)% |
| Answer» D. \(33\frac{4}{7}\)% | |