MCQOPTIONS
Saved Bookmarks
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.
| 1001. |
In the given figure, the angel bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when ∠ABC = ∠ACB = 75° |
| A. | 105 |
| B. | 147.5 |
| C. | 160 |
| D. | 170 |
| Answer» B. 147.5 | |
| 1002. |
A roller is 4 m long and has a diameter of 0.7 m. It takes exactly 2000 rotations of the roller to level a road. If the cost of using the roller is Rs. 4 per square metres, then the total cost of levelling the road is :assume π = 22/7 |
| A. | Rs. 17600 |
| B. | Rs. 35200 |
| C. | Rs. 70400 |
| D. | Rs. 140800 |
| Answer» D. Rs. 140800 | |
| 1003. |
In a Δ ABC if 2∠A = 3∠B = 6∠C, then the measure of ∠A is |
| A. | π/2 |
| B. | π/3 |
| C. | π/4 |
| D. | π/5 |
| Answer» B. π/3 | |
| 1004. |
If each edge of a cube is increased by 10%, then the percentage increase in its surface area is: |
| A. | 20% |
| B. | 19% |
| C. | 21% |
| D. | 22% |
| Answer» D. 22% | |
| 1005. |
Let \(\text{ }\!\!\Delta\!\!\text{ }ABC\sim\text{ }\!\!\Delta\!\!\text{ }QPR~and~\frac{ar\left( \text{ }\!\!\Delta\!\!\text{ }ABC \right)}{ar\left( \text{ }\!\!\Delta\!\!\text{ }PQR \right)}=\frac{4}{25}.\) If AB = 12 cm, BC = 8 cm and AC = 10 cm, then QR is equal to: |
| A. | 15 |
| B. | 18 |
| C. | 25 |
| D. | 20 |
| Answer» D. 20 | |
| 1006. |
A = Area of the largest circle drawn inside a square of side 1 cm.B = Sum of areas of 4 identical (largest possible) circles drawn inside a square of side 1 cm.C = Sum of areas of 9 identical circle (largest possible) drawn inside a square of side 1 cm.D = Sum of area of 16 identical circles (largest possible) drawn inside a square of side 1 cm.Which of the following is TRUE about A, B, C and D? |
| A. | A > B > C > D |
| B. | A < B < C < D |
| C. | A > B = C > D |
| D. | No option is correct |
| Answer» E. | |
| 1007. |
If the area of a square is 48, then what is the diagonal of the square? |
| A. | 4√6 |
| B. | 4√3 |
| C. | 4√2 |
| D. | 3√6 |
| Answer» B. 4√3 | |
| 1008. |
If the height of an equilateral triangle is 12 cm, then what is the area of the triangle? |
| A. | 25√3 cm2 |
| B. | 48√3 cm2 |
| C. | 29√3 cm2 |
| D. | 30√5 cm2 |
| Answer» C. 29√3 cm2 | |
| 1009. |
In Δ ABC, if ∠A = 90°, a = 25 cm, b = 7 cm, then what will be the value of tan B? |
| A. | \(\frac{{24}}{7}\) |
| B. | \(\frac{{24}}{{25}}\) |
| C. | \(\frac{7}{{25}}\) |
| D. | \(\frac{7}{{24}}\) |
| Answer» E. | |
| 1010. |
If each side of a square is increased by 10%, its area is increased by: |
| A. | 10% |
| B. | 21% |
| C. | 16% |
| D. | 36% |
| Answer» C. 16% | |
| 1011. |
If the volume of two cubes are in the ratio 125 ∶ 1, then what is the ratio of their edges? |
| A. | 5 : 1 |
| B. | 10 : 1 |
| C. | 25 : 1 |
| D. | 125 : 1 |
| Answer» B. 10 : 1 | |
| 1012. |
If the volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, respectively, then the ratio of their heights is: |
| A. | 25 : 64 |
| B. | 5 : 8 |
| C. | 1 : 5 |
| D. | 5 : 16 |
| Answer» B. 5 : 8 | |
| 1013. |
If the side of a square is 4 cm, what is the area of that square? |
| A. | 16 sq.cm |
| B. | 8 sq.cm |
| C. | 20 sq.cm |
| D. | 32 sq.cm |
| Answer» B. 8 sq.cm | |
| 1014. |
Circumference of the base of a 9 m high conical tent is 44 m. Find the volume of air contained in it. |
| A. | 430 cm3 |
| B. | 462 cm3 |
| C. | 472 cm3 |
| D. | 492 cm3 |
| Answer» C. 472 cm3 | |
| 1015. |
If the edge of a cube is increased by 4 cm, the volume will increases by 988 cm3. Then the original length of each edge of the cube is |
| A. | 7 cm |
| B. | 9 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» B. 9 cm | |
| 1016. |
Find the circumference (in cm) of a circle of radius 7 cm. |
| A. | 56 |
| B. | 44 |
| C. | 16 |
| D. | 32 |
| Answer» C. 16 | |
| 1017. |
A brick measures 20 cm × 12 cm × 6.5 cm. How many bricks will be required for a wall 4 m long, 3 m high and 13 cm thick? |
| A. | 500 |
| B. | 1000 |
| C. | 1500 |
| D. | 2000 |
| Answer» C. 1500 | |
| 1018. |
A solid sphere of diameter 2 cm is melted to from a wire of length 1 metre. The radius of the wire is |
| A. | √5/2 cm |
| B. | (2√5)/3 cm |
| C. | √3/10 cm |
| D. | 1/5√3 cm |
| Answer» E. | |
| 1019. |
A room is in the shape of a cube and the length of the longest rod placed in it is 12√3 m. The area of the floor is: |
| A. | 36 sq. m |
| B. | 144 sq. m |
| C. | 64 sq. m |
| D. | 96 sq. m |
| Answer» C. 64 sq. m | |
| 1020. |
O is the center of circle to which PAX and PBY are tangents from a point P at points A and B. Q is a point on the circle, such that ∠QAX = 49° and ∠QBY = 62°. What is the measure of ∠AQB? |
| A. | 63° |
| B. | 69° |
| C. | 67° |
| D. | 59° |
| Answer» C. 67° | |
| 1021. |
A room is in the shape of cube and the length of the longest rod placed in it is 21√3 cm. Find the area of the floor. |
| A. | 961 cm2 |
| B. | 144 cm2 |
| C. | 441 cm2 |
| D. | 169 cm2 |
| Answer» D. 169 cm2 | |
| 1022. |
A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is |
| A. | 5√3 |
| B. | 8 |
| C. | 2π |
| D. | 6√2 |
| Answer» B. 8 | |
| 1023. |
A right angled isosceles triangle has hypotenuse of 12 cms. Its area (in sq. cms) is: |
| A. | 12 |
| B. | 24 |
| C. | 36 |
| D. | 72 |
| Answer» D. 72 | |
| 1024. |
A solid metallic hemisphere with radius r is melted and cast into a solid right circular cone with the radius of the base = r. What is the ratio of their curved surface areas? |
| A. | 5/√2 |
| B. | 2/√5 |
| C. | 3/2 |
| D. | 5/2 |
| Answer» C. 3/2 | |
| 1025. |
A circle, with radius 8 cm, which has the area equal to the area of a triangle with base 8 cm. Then the length of the corresponding altitude of triangle is: |
| A. | 38π cm |
| B. | 16π cm |
| C. | 18π cm |
| D. | 8π cm |
| Answer» C. 18π cm | |
| 1026. |
A cone and hemisphere have equal bases and equal volume. Find the ratio of their heights. |
| A. | 1 : 2 |
| B. | 2 : 3 |
| C. | 2 : 1 |
| D. | 3 : 4 |
| Answer» D. 3 : 4 | |
| 1027. |
If the length of a rectangle is (x – 5) and breadth (x + 5), then its area is: |
| A. | x2 + 25 |
| B. | x2 + 10x + 25 |
| C. | x2 - 25 |
| D. | x2 - 10x + 25 |
| Answer» D. x2 - 10x + 25 | |
| 1028. |
If a circle has a perimeter of 44 cm, then find its diameter. |
| A. | 12 cm |
| B. | 10 cm |
| C. | 16 cm |
| D. | 14 cm |
| Answer» E. | |
| 1029. |
A rectangle has 25 cm as its length and 250 square cm as its area. If the area is increased to \(1\frac{1}{4}\) times the original area by increasing its length only, then the new perimeter will be: |
| A. | 72.5 cm |
| B. | 76.5 cm |
| C. | 78.5 cm |
| D. | 82.5 cm |
| Answer» E. | |
| 1030. |
A sphere is split in the ratio 1 : 3. The larger part is moulded into a cone having a height equal to the radius of its base, while the smaller part is moulded into a cylinder having a height equal to the radius of its base. What would be the ratio of the radius of the cone to the height of the cylinder? |
| A. | \(\sqrt[3]{3}{\rm{}}:1\) |
| B. | 3 : 1 |
| C. | \(\sqrt[3]{9}{\rm{}}:1\) |
| D. | \(1{\rm{}}:\sqrt[3]{3}\) |
| Answer» D. \(1{\rm{}}:\sqrt[3]{3}\) | |
| 1031. |
AB is a vertical truck of a huge tree with A being the point where the base of the truck touches the ground. Due to a cyclone, the tree has been broken at C which is at a height of 12 meters, broken part is partially attached to the vertical portion of the tree at C. If the end of the broken part B touches the ground at D which is at a distance of 5 metes from A, then the original height of the truck is: |
| A. | 20 m |
| B. | 25 m |
| C. | 30 m |
| D. | 35 m |
| Answer» C. 30 m | |
| 1032. |
If ΔABC is an isosceles triangle with AB = AC and ∠ABC is 65°, then ∠BCA and ∠BAC are, respectively: |
| A. | 65° and 50° |
| B. | 75° and 70° |
| C. | 50° and 65° |
| D. | 70° and 75° |
| Answer» B. 75° and 70° | |
| 1033. |
In a triangle ΔABC AB = 13 cm, BC = 84 cm, and ∠B = 90°, then length of AC will be |
| A. | 65 cm |
| B. | 70 cm |
| C. | 85 cm |
| D. | 60 cm |
| Answer» D. 60 cm | |
| 1034. |
PQ and RS are two chords of a circle. PQ = 20 cm, RS = 48 cm and PQ is parallel to RS. If the distance between PQ and RS is 34 cm, then what is the area (in cm2) of the circle? |
| A. | 729π |
| B. | 900π |
| C. | 676π |
| D. | 784π |
| Answer» D. 784π | |
| 1035. |
A metal solid cube of side 22 cm is melted to make a cone of height 21 cm. What is the radius of the base of the cone? (Take π = 22/7) |
| A. | 11 cm |
| B. | 16.5 cm |
| C. | 22 cm |
| D. | 27.5 cm |
| Answer» D. 27.5 cm | |
| 1036. |
ΔABC is an equilateral triangle and AD ⊥ BC, where D lies on BC. If AD = 4√3 cm. then what is the perimeter (in cm) of ΔABC? |
| A. | 21 |
| B. | 24 |
| C. | 27 |
| D. | 30 |
| Answer» C. 27 | |
| 1037. |
In triangle ABC, the length of BC is less than twice the length of AB by 2 cm. The length of AC exceeds the length of AB by 10 cm. The perimeter is 32 cm. The length (in cm) of the smallest side of the triangle is: |
| A. | 4 cm |
| B. | 10 cm |
| C. | 8 cm |
| D. | 6 cm |
| Answer» E. | |
| 1038. |
If AB, BC and CD are equal chords of a circle with O as center and AD is the diameter, then ∠AOB = _____. |
| A. | 60° |
| B. | 90° |
| C. | 30° |
| D. | 45° |
| Answer» B. 90° | |
| 1039. |
A hemisphere is kept on top of a cube. Its front view is shown in the given figure. The total height of the figure is 21 cm. The ratio of curved surface area of the hemisphere and total surface area of cube is 11 ∶ 42. What is the total volume (in cm 3) of figure? |
| A. | 3318.33 |
| B. | 3462.67 |
| C. | 3154.67 |
| D. | 3248.33 |
| Answer» C. 3154.67 | |
| 1040. |
If the total area of the surface of a cube is 4704 sq cm, find its lateral surface area. |
| A. | 3469 sq cm |
| B. | 2363 sq cm |
| C. | 3136 sq cm |
| D. | 3348 sq cm |
| Answer» D. 3348 sq cm | |
| 1041. |
If diameter of a circle is 7 cm, then what will be the 4 times of the area of the circle? |
| A. | 154 cm2 |
| B. | 164 cm2 |
| C. | 168 cm2 |
| D. | 198 cm2 |
| Answer» B. 164 cm2 | |
| 1042. |
A reservoir is in the shape of a frustum of a right circular cone. The radii of its circular ends are 4 m and 8 m and its depth is 7 m. How many kilolitre of water (correct up to one decimal place) can it hold?(Take π = 22/7) |
| A. | 821.3 |
| B. | 815.7 |
| C. | 792.3 |
| D. | 775.7 |
| Answer» B. 815.7 | |
| 1043. |
1000 solid spherical balls each of radius 0.6 cm are melted and recast into a single spherical ball. What is the surface area (in cm2) of ball so formed? |
| A. | 144 π |
| B. | 128 π |
| C. | 124 π |
| D. | 108 π |
| Answer» B. 128 π | |
| 1044. |
A right circular cylinder of maximum possible size is cut out form a solid wooden cube. The remaining material of the cube is what percentage of the original cube? (Take π = 3.14) |
| A. | 22.4 |
| B. | 21.5 |
| C. | 22.8 |
| D. | 21.8 |
| Answer» C. 22.8 | |
| 1045. |
If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS? |
| A. | 4√5 |
| B. | 6 |
| C. | 8 |
| D. | 12 |
| Answer» D. 12 | |
| 1046. |
If the radius of a cylinder is tripled and the height is halved, then what is the ratio between the new volume and the previous volume? |
| A. | 4 : 5 |
| B. | 3 : 2 |
| C. | 6 : 2 |
| D. | 9 : 2 |
| Answer» E. | |
| 1047. |
If a wheel has diameter 42 cm, then how far does the wheel go (in metres) in 12 revolutions? (Take π \(= \frac {22} 7\)) |
| A. | 21.45 |
| B. | 15.84 |
| C. | 23.27 |
| D. | 17.64 |
| Answer» C. 23.27 | |
| 1048. |
In the given figure, PQRS is a rectangle, a semicircle with SR as diameter is drawn. A circle is drawn a shown in the figure. If QR = 7 cm, then what is the radius (in cm) of the small circle? |
| A. | 21 + 14√2 |
| B. | 21 - 14√2 |
| C. | Both 1 and 2 |
| D. | None of these |
| Answer» C. Both 1 and 2 | |
| 1049. |
Length of a rectangular park is 100 meter and breadth is 80 meter. Along the sides, there is a 10 meter wide path inside the park. Find the area of the path? |
| A. | 3200 m2 |
| B. | 3400 m2 |
| C. | 3800 m2 |
| D. | 3000 m2 |
| Answer» B. 3400 m2 | |
| 1050. |
Diameter of a sphere is 21 cm. What will be the volume of the sphere? |
| A. | 4867 cm3 |
| B. | 4942 cm3 |
| C. | 4851 cm3 |
| D. | 4951 cm3 |
| Answer» D. 4951 cm3 | |