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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.
| 951. |
If sides a, b and c (a ≠ b ≠ c) of a triangle are increased by 200%, then its area will increase by∶ |
| A. | 400% |
| B. | 800% |
| C. | 200% |
| D. | 900% |
| Answer» C. 200% | |
| 952. |
How many bags of grain can be stored in a cuboidal granary 24m × 15m × 18m, if each bag occupies a space 0.60 cubic meter? |
| A. | 10800 |
| B. | 12800 |
| C. | 10200 |
| D. | 18200 |
| Answer» B. 12800 | |
| 953. |
If the cube with a 26√3 cm diagonal is melted then how tall is the height of the cuboid, if the length of the cuboid is equal to the arm of the cube, and the width of the cuboid is 13 cm? (in cm) |
| A. | 52 |
| B. | 54 |
| C. | 53 |
| D. | 55 |
| Answer» B. 54 | |
| 954. |
A cone of height 45 cm is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone? |
| A. | 34650 |
| B. | 61600 |
| C. | 36960 |
| D. | 62370 |
| Answer» E. | |
| 955. |
Find length of the arc whose central angle is 45° and radius of the circle is 28 cm? |
| A. | 11 cm |
| B. | 33 cm |
| C. | 44 cm |
| D. | 22 cm |
| Answer» E. | |
| 956. |
How much material is wasted when a solid cone of height 24 cm and radius 8 cm is recast into a solid cylinder of radius 6 cm and height 6 cm? |
| A. | 37.5% |
| B. | 52% |
| C. | 57.8% |
| D. | 64% |
| Answer» D. 64% | |
| 957. |
A rectangular lawn whose length is twice of its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in Rs.) of levelling the entire lawn at the rate of Rs. 100 per square metre, if the smaller side of the rectangular lawn is 12 m? (Take π = 3.14) |
| A. | 86,540 |
| B. | 78,650 |
| C. | 85,320 |
| D. | 97,625 |
| Answer» D. 97,625 | |
| 958. |
If the radius of a circle is increased by 50%, its area is increased by |
| A. | 125% |
| B. | 100% |
| C. | 75% |
| D. | 50% |
| Answer» B. 100% | |
| 959. |
A solid iron rod of length h meters and diameter r meters is melted into six equal solid iron spheres of diameter r meters. Which one of the following relations is correct? |
| A. | h = 2r |
| B. | h = 4r |
| C. | h = 3r |
| D. | None of the above |
| Answer» C. h = 3r | |
| 960. |
2.2 dm3 of copper is to be drawn into a cylindrical wire 0.5 cm is diameter, then the length of the wire is - |
| A. | 100 m |
| B. | 110 m |
| C. | 110.5 m |
| D. | 112 m |
| Answer» E. | |
| 961. |
A cuboid of edges 32 cm, 4 cm and 4 cm is cut to form cubes of edge 4 cm each. What is the sum of total surface areas of all cubes formed? |
| A. | 768 cm2 |
| B. | 640 cm2 |
| C. | 544 cm2 |
| D. | 576 cm2 |
| Answer» B. 640 cm2 | |
| 962. |
A solid metal cuboid of 343 cm × 49 cm × 7 cm is melted and cubes of edge 7 cm are formed. The sum of the surface area (in cm2) of the total number of cubes formed is: |
| A. | 16807 |
| B. | 10842 |
| C. | 100842 |
| D. | 120506 |
| Answer» D. 120506 | |
| 963. |
ABC is a triangle which is right angled at A and a perpendicular AD is drawn on the hypotenuse BC. If AB = 5 cm and AC = 12 cm then what is the value of AD × AC? |
| A. | 21.34 cm |
| B. | 55.38 cm |
| C. | 32.46 cm |
| D. | 36.67 cm |
| Answer» C. 32.46 cm | |
| 964. |
In the given figure, ABC is an equilateral triangle. If the area of bigger circle is 1386 cm2, then what is the value of four times the area (in cm2) of smaller circle if the distance left between vertex A and point m on smaller circle can be assumed to be equal to the radius of small circle? |
| A. | 144 |
| B. | 616 |
| C. | 346.5 |
| D. | 462 |
| Answer» C. 346.5 | |
| 965. |
A hollow sphere of internal and external diameter 4cm and 8 cm is melted and recasted into a cone of base diameter 8 cm. The height of the cone is |
| A. | 14 cm |
| B. | 15 cm |
| C. | 28 cm |
| D. | 30 cm |
| Answer» B. 15 cm | |
| 966. |
If a cylinder has base radius of 6 cm and height 7 cm then find its volume? |
| A. | 821 cm3 |
| B. | 521 cm3 |
| C. | 792 cm3 |
| D. | 729 cm3 |
| Answer» D. 729 cm3 | |
| 967. |
A rectangular playground of length 125 m and width 75 m, has a walking strip of width 5m in the middle of the ground and parallel to shorter side. What is the area of the ground without the walking strip? |
| A. | 9375 sq.m |
| B. | 9000 sq.m |
| C. | 9750 sq.m |
| D. | 8625 sq.m |
| Answer» C. 9750 sq.m | |
| 968. |
A cone of radius 90 cm and height 120 cm stands on its base. It is cut into 3 parts by 2 cuts parallel to its base such that the height of the three parts (from top to bottom) are in ratio of 1 ∶ 2 ∶ 3. What is the total surface area (in cm2) of the middle part? |
| A. | 14600 |
| B. | 16500 |
| C. | 17800 |
| D. | 18500 |
| Answer» C. 17800 | |
| 969. |
If circumference & area of a circle are numerically equal, then numerical value of diameter is |
| A. | 1 unit |
| B. | 2 unit |
| C. | 4 unit |
| D. | π unit |
| Answer» D. π unit | |
| 970. |
A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel? |
| A. | 2 cm |
| B. | 0.33 cm |
| C. | 0.5 cm |
| D. | 1 cm |
| Answer» E. | |
| 971. |
If the breadth and perimeter of a rectangle are in the ratio 1 : 8 and the area of rectangle is 363 cm2, then the breadth of the rectangle is: |
| A. | 11 cm |
| B. | 13 cm |
| C. | 12 cm |
| D. | 10 cm |
| Answer» B. 13 cm | |
| 972. |
If the ratio of edges of two cubes is 4 : 9, then what is the ratio of the volume of the two cubes? |
| A. | 64 : 729 |
| B. | 16 : 81 |
| C. | 4 : 9 |
| D. | 2 : 3 |
| E. | 9 : 16 |
| Answer» B. 16 : 81 | |
| 973. |
How much iron sheet (in m2) will be needed to construct a rectangular tank measuring 10 m × 8 m × 6 m, if a circular opening of radius one metre is to be left at the top of the tank? (correct to one decimal place) |
| A. | 370.4 |
| B. | 370.8 |
| C. | 372.9 |
| D. | 371.6 |
| Answer» D. 371.6 | |
| 974. |
If the ratio of the area of two circles is 49 : 81, then the ratio of their circumference is: |
| A. | 49 ∶ 81 |
| B. | 3 ∶ 4 |
| C. | 7 ∶ 9 |
| D. | 9 ∶ 7 |
| Answer» D. 9 ∶ 7 | |
| 975. |
If V be the volume and S be the surface area of a cuboid with dimensions a × b × c, then which of the following is true? |
| A. | \(\frac{1}{V} = \frac{2}{S}\left( {\frac{1}{a} + \frac{1}{b} + \frac{1}{c}} \right)\) |
| B. | \(\frac{1}{V} = \frac{2}{S}\left( {a + b + c} \right)\) |
| C. | \(\frac{1}{S} = \frac{2}{V}\left( {\frac{1}{a} + \frac{1}{b} + \frac{1}{c}} \right)\) |
| D. | None of the above |
| Answer» B. \(\frac{1}{V} = \frac{2}{S}\left( {a + b + c} \right)\) | |
| 976. |
A cube of maximum value (each corner touching the surface from inside) is cut from a sphere. What is the ratio of volume of the cube to that of the sphere? |
| A. | 3 : 4π |
| B. | √3 : 2π |
| C. | 2 : √3π |
| D. | 4 : 3π |
| Answer» D. 4 : 3π | |
| 977. |
If a cube has surface area S and volume V, then the volume of the cube of surface area 2S will be |
| A. | \(\sqrt 2 V\) |
| B. | \(2\sqrt 2 V\) |
| C. | 2V |
| D. | None of the above |
| Answer» C. 2V | |
| 978. |
PQSR is a rectangle in which side of PQ = 24 cm and QS = 16 cm. T is a point on RS. What is the area (in cm) of the triangle PTQ? |
| A. | 192 |
| B. | 162 |
| C. | 148 |
| D. | Cannot be determined |
| Answer» B. 162 | |
| 979. |
A godown is the form of a cuboid of dimensions 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it, if the volume of one box is 0.8 m3? |
| A. | 90,000 |
| B. | 70,000 |
| C. | 60,000 |
| D. | 80,000 |
| Answer» B. 70,000 | |
| 980. |
If the length of one side and the diagonal of a rectangle are 7 cm and 25 cm respectively, then find its perimeter (in cm). |
| A. | 24 |
| B. | 36 |
| C. | 62 |
| D. | 72 |
| Answer» D. 72 | |
| 981. |
Four circular coins of equal radius are placed with their centers coinciding with four vertices of a square. Each coin touches two other coins. If the uncovered area of the square is 42 cm2, then what is the radius of each coin? (Assume π = 22/7) |
| A. | 5 cm |
| B. | 7 cm |
| C. | 10 cm |
| D. | 14 cm |
| Answer» C. 10 cm | |
| 982. |
In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is |
| A. | 32√3 |
| B. | 18√3 |
| C. | 24√3 |
| D. | 12√3 |
| Answer» B. 18√3 | |
| 983. |
If a circle is divided into 6 equal parts made of what would be the measurement of each angle?A. 45B. 60C. 30D. 90 |
| A. | A |
| B. | C |
| C. | B |
| D. | D |
| Answer» D. D | |
| 984. |
If sum of the areas of the circumcircle and the in-circle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle? |
| A. | 125√3 |
| B. | 147√3 |
| C. | 156√3 |
| D. | 169√3 |
| Answer» C. 156√3 | |
| 985. |
Find the area of an equilateral triangle whose sides are 12 cm. |
| A. | \(29 \sqrt{5}\) |
| B. | \(45 \sqrt{2}\) |
| C. | 38 |
| D. | \(36 \sqrt{3}\) |
| Answer» E. | |
| 986. |
A wire when bent in the form of a square encloses an area of 484 sq. cm. What will be the enclosed area when the same wire is bent into the form of a circle? (Take: \(\pi=\dfrac{22}{7}\)) |
| A. | 230 square cm |
| B. | 125 square cm |
| C. | 616 square cm |
| D. | 550 square cm |
| Answer» D. 550 square cm | |
| 987. |
A metallic sphere of radius 6 cm is melted and drawn into a wire, whose radius of the cross–section is 8 cm. What is the length of the wire? |
| A. | 3.5 cm |
| B. | 5 cm |
| C. | 4.5 cm |
| D. | 4 cm |
| Answer» D. 4 cm | |
| 988. |
If a rectangular block of 4 × 6 × 8 cm dimension is cut into small cubes of sides 2cm each, how many small cubes can be formed? |
| A. | 12 |
| B. | 24 |
| C. | 36 |
| D. | 48 |
| Answer» C. 36 | |
| 989. |
Find the area of an equilateral triangle whose sides are of length 2√3 cm. |
| A. | 4√3 cm2 |
| B. | 3 cm2 |
| C. | 2√3 cm2 |
| D. | 3√3 cm2 |
| Answer» E. | |
| 990. |
A solid toy is in the form of hemisphere surmounted by right circular cone. Height of the cone is 4 cm and diameter of the base is 6 cm. What will be the surface area of the toy? |
| A. | 660/7 cm2 |
| B. | 528/7 cm2 |
| C. | 726/7 cm2 |
| D. | 66/7 cm2 |
| Answer» D. 66/7 cm2 | |
| 991. |
In the figure given below, if the area of parallelogram ABCD is 208 cm2, what is the height of the parallelogram ABEF? |
| A. | 15 cm |
| B. | 15.5 cm |
| C. | 16 cm |
| D. | 16.5 cm |
| Answer» D. 16.5 cm | |
| 992. |
If a square is cut along its diagonal, what is the angle it makes at the top of the triangle thus made by the intersection of diagonals? |
| A. | 60° |
| B. | 120° |
| C. | 90° |
| D. | 40° |
| Answer» D. 40° | |
| 993. |
If the ratio of volume of two cubes is 11 ∶ 13, then what is the ratio of the sides of the two cubes? |
| A. | 11 ∶ 13 |
| B. | 121 ∶ 169 |
| C. | (11)1/2 ∶ (13)1/2 |
| D. | (11)1/3 ∶ (13)1/3 |
| Answer» E. | |
| 994. |
Find the area of the card board that is required to make a box of size 10 cm × 8 cm × 4 cm. |
| A. | 412 cm2 |
| B. | 388 cm2 |
| C. | 304 cm2 |
| D. | 488 cm2 |
| Answer» D. 488 cm2 | |
| 995. |
If the diagonals of the rhombus are 12 cm and 16 cm, then what is the perimeter of the rhombus? |
| A. | 20 |
| B. | 40 |
| C. | 60 |
| D. | 80 |
| Answer» C. 60 | |
| 996. |
If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm2 then its volume is: |
| A. | 1760 cm3 |
| B. | 8800 cm3 |
| C. | 2002 cm3 |
| D. | 4804 cm3 |
| Answer» D. 4804 cm3 | |
| 997. |
In the figure given below, ABCD is a square of side 4 cm. Quadrants of a circle of diameter 2 cm are removed from the four corners and a circle of diameter 2 cm is also removed. What is the area of the shaded region? |
| A. | \(5\frac{7}{9}\) cm2 |
| B. | \(7\frac{7}{9}\) cm2 |
| C. | \(9\frac{5}{7}\) cm2 |
| D. | \(9\frac{5}{6}\) cm2 |
| Answer» D. \(9\frac{5}{6}\) cm2 | |
| 998. |
A hollow cylinder of thickness 0.7 cm and height 15 cm is made of iron. If inner radius of cylinder is 3.5 cm, then what is the total surface area (in cm2) of the hollow cylinder? |
| A. | 812.12 |
| B. | 768.42 |
| C. | 759.88 |
| D. | 828.42 |
| Answer» D. 828.42 | |
| 999. |
Find the total surface area of a cube whose volume is 64 cm3 ?. |
| A. | 64 cm2 |
| B. | 84 cm2 |
| C. | 16 cm2 |
| D. | 96 cm2 |
| Answer» E. | |
| 1000. |
ΔABC is inscribed in a circle with center O and if ∠BAC = n, ∠OCB = m, then: |
| A. | m + n = 150° |
| B. | m + n = 90° |
| C. | m + n = 180° |
| D. | m + n = 120° |
| Answer» C. m + n = 180° | |