MCQOPTIONS
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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.
| 601. |
A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze? |
| A. | 68.5 m2 |
| B. | 38.5 m2 |
| C. | 55.5 m2 |
| D. | 63.5 m2 |
| Answer» C. 55.5 m2 | |
| 602. |
A closed wooden rectangular box made of 1 cm thick wood has the following outer dimensions: length 22 cm, breadth 17 cm, and height 12 cm. It is filled with cement. What is the volume of the cement in the box?A. 1488 cu. cmB. 3000 cu. CmC. 4488 cu. CmD. 2880 cu. cm |
| A. | D |
| B. | C |
| C. | A |
| D. | B |
| Answer» E. | |
| 603. |
A rectangular sheet of paper 44 cm × 18 cm is rolled along its length and a cylinder is formed. The volume of the cylinder is: |
| A. | 2700 cm3 |
| B. | 2727 cm3 |
| C. | 2772 cm3 |
| D. | 792 cm3 |
| Answer» D. 792 cm3 | |
| 604. |
If the perimeter of a rhombus is 40 cm and one of its diagonal is 16 cm, then what is the area (in cm2) of the rhombus? |
| A. | 72 |
| B. | 48 |
| C. | 96 |
| D. | 192 |
| Answer» D. 192 | |
| 605. |
Binary starts walking South. After 21 km, he turns to his right and walks straight for 20 km. How far is he from his starting position? |
| A. | 29.68 km |
| B. | 29.00 km |
| C. | 41.00 km |
| D. | 24.00 km |
| Answer» C. 41.00 km | |
| 606. |
Find the total surface area (in cm²) of a right circular cone of diameter 14 cm and slant height 10 cm. |
| A. | 374 |
| B. | 570 |
| C. | 428 |
| D. | 524 |
| Answer» B. 570 | |
| 607. |
If the radius of the cylinder is decreased by 20%, then by how much percent the height must be increased, so that the volume of the cylinder remains same? |
| A. | 20 |
| B. | 36.25 |
| C. | 56.25 |
| D. | 65 |
| Answer» D. 65 | |
| 608. |
A Sphere of maximum volume is cut out from a solid hemisphere. What is the ratio of the volume of the sphere to that of the remaining solid? |
| A. | 1 : 1 |
| B. | 1 : 2 |
| C. | 1 : 3 |
| D. | 1 : 4 |
| Answer» D. 1 : 4 | |
| 609. |
A spherical lead ball of diameter 15 cm is melted and lead shots of radius 1.5 mm are made. The process involves wastage of 3%. How many lead balls are made? |
| A. | 121250 |
| B. | 7760 |
| C. | 62080 |
| D. | 970000 |
| Answer» B. 7760 | |
| 610. |
If the radius of the new spherical container is double the radius of the old spherical container, then the ratio of the volume of the new container and of the old container is |
| A. | 2 : 1 |
| B. | 4 : 1 |
| C. | 8 : 1 |
| D. | 2π: 1 |
| Answer» D. 2π: 1 | |
| 611. |
If the perimeter of a circle is equal to that of a square, then what is the ratio of area of circle to that of square? |
| A. | 22 : 7 |
| B. | 14 : 11 |
| C. | 7 : 22 |
| D. | 11 : 14 |
| Answer» C. 7 : 22 | |
| 612. |
A solid cylinder having radius of base as 7 cm and height as 20 cm is bisected from its height to get two identical cylinders. What will be the percentage increase in the total surface area? |
| A. | 29.78 |
| B. | 25.93 |
| C. | 27.62 |
| D. | 32.83 |
| Answer» C. 27.62 | |
| 613. |
A sector is cut out from a circle of diameter 42 cm. If the angle of the sector is 150°, then its area (in cm2) is: (Take π = 22/7) |
| A. | 580.6 |
| B. | 577.5 |
| C. | 574 |
| D. | 564 |
| Answer» C. 574 | |
| 614. |
PQ is the direct common tangent of two circles (S, 9 cm) and (R, 4 cm) which touch each other externally. Find the area of the quadrilateral PQRS (in cm2) ? |
| A. | 72 |
| B. | 69 |
| C. | 78 |
| D. | 65 |
| Answer» B. 69 | |
| 615. |
If the diagonals of a rhombus are in the ratio 5 : 4, then what is the ratio of the area of the rhombus to the product of the diagonals? |
| A. | 4 : 1 |
| B. | 2 : 1 |
| C. | 1 : 2 |
| D. | 1 : 4 |
| Answer» D. 1 : 4 | |
| 616. |
Find the perimeter of a 30 m long and 20 m wide rectangular region? |
| A. | 80 m |
| B. | 90 m |
| C. | 50 m |
| D. | 100 m |
| Answer» E. | |
| 617. |
In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD? |
| A. | 3.5 |
| B. | 7 |
| C. | 10.5 |
| D. | 14 |
| Answer» E. | |
| 618. |
Area of a Full Cetrfl piece of glass is 729 cm2 Which is placed above a square table. The width between the table and the glass piece is 9 cm. Find the length of the table. |
| A. | 43 cm |
| B. | 45 cm |
| C. | 47 cm |
| D. | 41 cm |
| Answer» C. 47 cm | |
| 619. |
A boy completes a semicircle of radius 7 m in 5 seconds. The distance traveled by the boy is |
| A. | 11 m |
| B. | 22 m |
| C. | 10m |
| D. | 7 m |
| Answer» C. 10m | |
| 620. |
If the height of a given cone became thrice and the radius of the base remains the same. What is the ratio of the volume of the given cone and the volume of the second cone? |
| A. | 1 : 3 |
| B. | 1 : 9 |
| C. | 1 : √3 |
| D. | 1 : 27 |
| Answer» B. 1 : 9 | |
| 621. |
A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts? |
| A. | 11750 |
| B. | 14100 |
| C. | 18800 |
| D. | 23500 |
| Answer» D. 23500 | |
| 622. |
A court yard is 15 metres long and 10 metres wide. If it is paved by bricks of length 20 cm and width 10 cm, then what is the number of bricks required? |
| A. | 4,500 |
| B. | 6,000 |
| C. | 7,500 |
| D. | 9,000 |
| Answer» D. 9,000 | |
| 623. |
In a triangle PQR, PS is the height and QR is the base. PQ = 52, side QR = 56 and side PR = 60. What is the height of PS? |
| A. | 40 |
| B. | 56 |
| C. | 52 |
| D. | 48 |
| Answer» E. | |
| 624. |
ΔABC is an isosceles triangle with AB = AC = 13 cm. AD is the median on BC from A such that AD = 12 cm. The length of BC is equal to: |
| A. | 5 cm |
| B. | 7.5 cm |
| C. | 10 cm |
| D. | 6 cm |
| Answer» D. 6 cm | |
| 625. |
Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 140 cm then the area of the space enclosed between the circumference of the circle is (take n = 22/7) |
| A. | 4200 cm2 |
| B. | 2100 cm2 |
| C. | 7000 cm2 |
| D. | 2800 cm2 |
| Answer» B. 2100 cm2 | |
| 626. |
Four cubes each of side 5 cm are joined end to end. The surface area of the resulting solid is |
| A. | 225 cm2 |
| B. | 20 cm2 |
| C. | 450 cm2 |
| D. | 500 cm2 |
| Answer» D. 500 cm2 | |
| 627. |
A square park having a side 20 m has two roads each 2 m wide running in the middle of it and parallel to its length and breath. What will be cost of gravelling the path at the rate of Rs. 100/m2? |
| A. | Rs. 7,200 |
| B. | Rs. 7,600 |
| C. | Rs. 8,800 |
| D. | Rs. 8,400 |
| Answer» C. Rs. 8,800 | |
| 628. |
A cube of side 1 m length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained? |
| A. | 1000 |
| B. | 10000 |
| C. | 10 |
| D. | 100 |
| Answer» B. 10000 | |
| 629. |
A farmer wants to fence his rectangular field of length 200 m and area 3000 m2. If the cost of fencing per metre is 5 rupees, what is the total cost of fencing in rupees? |
| A. | 1000 |
| B. | 500 |
| C. | 2500 |
| D. | 2150 |
| Answer» E. | |
| 630. |
Each edge of a garden of square shape is 54 m long. In order to surround it by wire netting, pillars are to be raised at intervals of 3m. If the raising of pillars starts from a corner of the garden, what will be the number of pillars necessary? |
| A. | 64 |
| B. | 68 |
| C. | 72 |
| D. | 76 |
| Answer» D. 76 | |
| 631. |
Find the inner surface area of four walls of a rectangular room with length 7 m breadth 5m and height 3.5 m. |
| A. | 168 m2 |
| B. | 84 m2 |
| C. | 126 m2 |
| D. | 42 m2 |
| Answer» C. 126 m2 | |
| 632. |
A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed as |
| A. | 4πrh + 4πr2 |
| B. | 4πrh - 4πr2 |
| C. | 4πrh + 2πr2 |
| D. | 4πrh - 2πr2 |
| Answer» B. 4πrh - 4πr2 | |
| 633. |
If p, q, r, s and t represent length, breadth, height surface area and volume of a cuboid respectively, then what is \(\frac {1}{p} + \frac {1}{q}+\frac {1}{r}\) equal to? |
| A. | \(\frac {s}{t}\) |
| B. | \(\frac {2t}{s}\) |
| C. | \(\frac {s}{2t}\) |
| D. | \(\frac {2s}{t}\) |
| Answer» D. \(\frac {2s}{t}\) | |
| 634. |
If each edge of a cube is increased by 50%, then the percentage increase in its one surface area is: |
| A. | 125% |
| B. | 150% |
| C. | 100% |
| D. | 50% |
| Answer» B. 150% | |
| 635. |
A circle of 3 cms radius lies inside and touches all the four sides of a square. The area (in sq. cms) of the square is: |
| A. | 9π |
| B. | 9 |
| C. | 18 |
| D. | 36 |
| Answer» E. | |
| 636. |
Find the volume (in cm3) of a cube of side 3.5 cm. |
| A. | 69.845 |
| B. | 42.875 |
| C. | 19.765 |
| D. | 11.165 |
| Answer» C. 19.765 | |
| 637. |
If four smaller cylinders are melted to form a cylinder of the same height, how much will the lateral surface area of the new cylinder be greater than the lateral surface of the smaller cylinder? |
| A. | 50% |
| B. | 100% |
| C. | 25% |
| D. | 75% |
| Answer» C. 25% | |
| 638. |
A closed box has external length l, external breadth b, external height h and walls of thickness x, the capacity of the box is: |
| A. | (l - 2x)(b - 2x)(h - 2x) |
| B. | (l-x)(b-x)(h-x) |
| C. | lbh-x3 |
| D. | lbh-8x3 |
| Answer» B. (l-x)(b-x)(h-x) | |
| 639. |
Four cubes each of side 4 cm are joined end to end. The surface area of the resulting solid is |
| A. | 144 cm2 |
| B. | 16 cm2 |
| C. | 288 cm2 |
| D. | none of these |
| Answer» D. none of these | |
| 640. |
If the ratio of the sides of a triangle is 3 : 4 : 5 and its area is 216 cm square, the perimeter of the triangle will be - |
| A. | 76 cm |
| B. | 84 cm |
| C. | 80 cm |
| D. | 72 cm |
| Answer» E. | |
| 641. |
If the height of an equilateral triangle is 2√3 cm, then determine the area (in cm2) of the equilateral triangle. |
| A. | 6 |
| B. | 2√3 |
| C. | 4√3 |
| D. | 12 |
| Answer» D. 12 | |
| 642. |
In the given figure, ΔABC is an isosceles triangle, in which AB = AC, AD ⊥ BC , BC = 6 cm and AD = 4 cm. The length of AB is: |
| A. | 4 cm |
| B. | 6 cm |
| C. | 7 cm |
| D. | 5 cm |
| Answer» E. | |
| 643. |
Consider the following statements :1. The surface area of the sphere is √5 times the curved surface area of the cone.2. The surface area of the cube is equal to the curved surface area of the cylinder.Which of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» E. | |
| 644. |
If the perimeter of an isosceles right triangle is 8(√2 + 1) cm, then the length of the hypotenuse of the triangle is: |
| A. | 12 cm |
| B. | 8 cm |
| C. | 24 cm |
| D. | 10 cm |
| Answer» C. 24 cm | |
| 645. |
A circle is inscribed inside an equilateral triangle touching all the three sides. If the radius of the circle is 2 cm. find the area (in cm2) of the triangle. |
| A. | 15 √3 |
| B. | 18 √3 |
| C. | 12√2 |
| D. | 12√3 |
| Answer» E. | |
| 646. |
In ΔABC, ∠A = 50°. Its sides AB and AC are produced to the point D and E. If the bisectors of the ∠CBD and ∠BCE meet at the point O, then ∠BOC will be equal to: |
| A. | 75° |
| B. | 40° |
| C. | 55° |
| D. | 65° |
| Answer» E. | |
| 647. |
AB is a line parallel to the line PQ. If C and D are points on PQ such that the area of ΔABC is 'a' square units, then the area (in sq. units) of ΔABD is: |
| A. | a |
| B. | a/2 |
| C. | a/3 |
| D. | a/4 |
| Answer» B. a/2 | |
| 648. |
If the ratio of the side of two cubes is 2 : 3, then what is the ratio of the volume of the two cubes? |
| A. | 8 : 27 |
| B. | 4 : 9 |
| C. | 2 : 3 |
| D. | 4 : 27 |
| Answer» B. 4 : 9 | |
| 649. |
If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is: |
| A. | 1 : 2 |
| B. | 1 : 4 |
| C. | 1 : 7 |
| D. | 1 : 8 |
| Answer» D. 1 : 8 | |
| 650. |
If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3 : 2 then what is the ratio of the corresponding sides of the two triangles? |
| A. | 2 : 3 |
| B. | 3 : 2 |
| C. | 6 : 4 |
| D. | 4 : 6 |
| Answer» C. 6 : 4 | |