MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 2154 Mcqs, each offering curated multiple-choice questions to sharpen your 7th Class knowledge and support exam preparation. Choose a topic below to get started.
| 601. |
Area of shaded square formed by the joining the mid-points of the sides of a square with area\[16\,{{m}^{2}}\]is |
| A. | \[16\,{{m}^{2}}\] |
| B. | \[4\,{{m}^{2}}\] |
| C. | \[10\,{{m}^{2}}\] |
| D. | \[8\,{{m}^{2}}\] |
| Answer» E. | |
| 602. |
The shape of a park is rectangular at the middle and semi-circular at the ends as shown below. The area of shaded portion is |
| A. | \[84\,c{{m}^{2}}\] |
| B. | \[85\,c{{m}^{2}}\] |
| C. | \[45\,c{{m}^{2}}\] |
| D. | \[88\,c{{m}^{2}}\] |
| Answer» B. \[85\,c{{m}^{2}}\] | |
| 603. |
DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Area of the remaining portion of the park is |
| A. | \[6364\,{{m}^{2}}\] |
| B. | \[6463\,{{m}^{2}}\] |
| C. | \[6634\,{{m}^{2}}\] |
| D. | \[6346\,{{m}^{2}}\] |
| Answer» B. \[6463\,{{m}^{2}}\] | |
| 604. |
DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Total area of the four roads is |
| A. | \[386\,{{m}^{2}}\] |
| B. | \[836\,{{m}^{2}}\] |
| C. | \[863\,{{m}^{2}}\] |
| D. | \[368\,{{m}^{2}}\] |
| Answer» C. \[863\,{{m}^{2}}\] | |
| 605. |
DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Total area of the two roads along the length is |
| A. | \[270\,{{m}^{2}}\] |
| B. | \[810\,{{m}^{2}}\] |
| C. | \[540\,{{m}^{2}}\] |
| D. | \[504\,{{m}^{2}}\] |
| Answer» D. \[504\,{{m}^{2}}\] | |
| 606. |
DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow Area between two concentric circles. Two circles are said to be concentric if they have a common center. Sometimes, we have to find the area between two concentric circles. For example, the area of a ring, the area of a circular field having a circular pond in the middle. So, let us consider two concentric circles with r as the radius of the inner circle and R as the radius of the outer circle. Area between the circles \[=\] Area of outer circle\[-\]Area of the inner circle \[=\pi {{R}^{2}}-\pi {{r}^{2}}=\pi ({{R}^{2}}-{{r}^{2}})\] A circular pond has a 50 cm wide footpath along the edge. A man walks around the outer edge of the footpath with 66 cm long steps. In 200 steps, he makes a full round. The radius of the pond is |
| A. | 20 m |
| B. | 50 m |
| C. | 20 cm |
| D. | 20.50 m |
| Answer» E. | |
| 607. |
DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow Area between two concentric circles. Two circles are said to be concentric if they have a common center. Sometimes, we have to find the area between two concentric circles. For example, the area of a ring, the area of a circular field having a circular pond in the middle. So, let us consider two concentric circles with r as the radius of the inner circle and R as the radius of the outer circle. Area between the circles \[=\] Area of outer circle\[-\]Area of the inner circle \[=\pi {{R}^{2}}-\pi {{r}^{2}}=\pi ({{R}^{2}}-{{r}^{2}})\] A 7m wide path is to be constructed all around, and outside a circular garden of diameter 112m. The cost of constructing the path at Rs. 50 per square meter is |
| A. | Rs. 13090 |
| B. | Rs. 130900 |
| C. | Rs. 1309 |
| D. | Rs. 13000 |
| Answer» C. Rs. 1309 | |
| 608. |
Which of the following statements is true about area of a triangle? (i) Area of an equilateral triangle that has a side a is \[\frac{\sqrt{3}}{4}\times {{a}^{2}}\] (ii) Area of a triangle is equal to half of the product of base and its altitude. (iii) Both of the above (iv) None of these |
| A. | Only (i) |
| B. | (i) and (ii) |
| C. | Both (i) and (ii) |
| D. | Neither (i) nor (iii) |
| Answer» D. Neither (i) nor (iii) | |
| 609. |
Consider the following statements. (i) If the circumference and area of a circle are numerically equal, then the diameter is equal to 4. (ii) Radius of a circle whose area is \[25\pi ,\] is 5cm. Which of the statement is/are correct? |
| A. | Either (i) or (ii) |
| B. | Neither (i) nor (ii) |
| C. | Both (i) and (ii) |
| D. | Cannot say anything |
| Answer» D. Cannot say anything | |
| 610. |
Consider the following statements. (i) The ratio of areas of two circles is \[4:25,\] if the ratio of their radii is \[2:5.\] (ii) If each side of a rhombus is 14 cm and its area is \[98\,c{{m}^{2}},\] then its altitude is 14 cm. (iii) The areas of two circles are in the ratio \[25:36.\] The ratio of their circumferences is \[5:6.\] Which of the statement is True or False? |
| A. | TFT |
| B. | TTF |
| C. | FTT |
| D. | FFT |
| Answer» B. TTF | |
| 611. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of an isosceles right triangle, if one of the equal sides is 20 cm long, is \[200\,c{{m}^{2}}.\] Reason: Area of rhombus\[=\]side\[\times \]altitude |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» C. If Assertion is correct but Reason is incorrect. | |
| 612. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of triangle, whose base is 9.6 cm, and the corresponding altitude is 5 cm, is \[24\,c{{m}^{2}}.\] Reason: Area of an equilateral triangle is\[\frac{\sqrt{3}}{4}\times {{(side)}^{2}}\] |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» C. If Assertion is correct but Reason is incorrect. | |
| 613. |
Circumference of a circular disc is 132 cm. Its area will be ________. |
| A. | \[1380c{{m}^{2}}\] |
| B. | \[1286c{{m}^{2}}\] |
| C. | \[1188c{{m}^{2}}\] |
| D. | \[1386c{{m}^{2}}\] |
| E. | None of these |
| Answer» E. None of these | |
| 614. |
The length of a rectangle is \[\frac{6}{5}\]th of its breadth. If its perimeter is 132m, its area will be............ |
| A. | \[1,080\,{{m}^{2}}\] |
| B. | \[640\,{{m}^{2}}\] |
| C. | \[1,620\,{{m}^{2}}\] |
| D. | \[2,160\,{{m}^{2}}\] |
| Answer» B. \[640\,{{m}^{2}}\] | |
| 615. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Altitude of a triangle whose area is \[45\,c{{m}^{2}}\]and base 15 cm is 5 cm. Reason: Area of a triangle\[=\frac{1}{2}\times \] base\[\times \]altitude |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» E. | |
| 616. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of the equilateral triangle whose one side is 7 cm, is \[21.22\,c{{m}^{2}}.\] Reason: Area of the equilateral triangle is given as \[\frac{\sqrt{3}}{4}\times {{(side)}^{2}}.\] |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. | |
| 617. |
DIRECTIONS: Passage ? 2 Read the passage given below and answer the questions that follow A piece of wire in the form of a rectangle 9 cm long and 6 cm broad is reshaped and bent into the form of circle. Radius of the circle is |
| A. | 4 cm |
| B. | 8 cm |
| C. | 6 cm |
| D. | 4.77 cm |
| Answer» E. | |
| 618. |
DIRECTIONS: Passage ? 2 Read the passage given below and answer the questions that follow A piece of wire in the form of a rectangle 9 cm long and 6 cm broad is reshaped and bent into the form of circle. Length of the wire is |
| A. | 30 cm |
| B. | 18 cm |
| C. | 12 cm |
| D. | 15 cm |
| Answer» B. 18 cm | |
| 619. |
DIRECTIONS: Passage ? 1 Read the passage given below and answer the questions that follow A horse is tied to a pole fixed at one corner of a \[30\,m\times 30\,m\] square field of grass, by means of 10 m long rope. The increase in the grazing area if the rope were 20 m long instead of being 10 m long, is |
| A. | 236 |
| B. | 237 |
| C. | 2355 |
| D. | 238 |
| Answer» D. 238 | |
| 620. |
DIRECTIONS: Passage ? 1 Read the passage given below and answer the questions that follow A horse is tied to a pole fixed at one corner of a \[30\,m\times 30\,m\] square field of grass, by means of 10 m long rope. The area of that part of the field in which the horse can graze is |
| A. | \[78.5\,{{m}^{2}}\] |
| B. | \[77\,{{m}^{2}}\] |
| C. | \[76\,{{m}^{2}}\] |
| D. | \[75\,{{m}^{2}}\] |
| Answer» B. \[77\,{{m}^{2}}\] | |
| 621. |
Which of these statements is true? (i) General formula for the area of triangle is \[\frac{1}{2}\times \] base\[\times \]height. (ii) Perimeter of any right angled triangle is the sum of the measurement of its boundary (iii) Area of an equilateral of side a and area of an isosceles right angled triangle (equal sides = a) is same. |
| A. | i and ii |
| B. | i and iii |
| C. | i, ii and iii |
| D. | iii |
| Answer» B. i and iii | |
| 622. |
The ratio of the areas of \[\,\,\Delta \,\mathbf{PQR}\,\,\mathbf{:}\,\,\Delta \,\mathbf{PRS}\,\,\mathbf{:}\,\,\Delta \,\mathbf{PST}\] is equal to _______. |
| A. | 3: 4: 5 |
| B. | 0.085462962962963 |
| C. | 4: 5: 6 |
| D. | 0.212592592592593 |
| E. | None of these |
| Answer» B. 0.085462962962963 | |
| 623. |
If the length and breadth of a rectangle are doubled then its perimeter is |
| A. | tripled |
| B. | doubled |
| C. | made half |
| D. | None of these |
| Answer» C. made half | |
| 624. |
Consider the following statements. (i) Area of a triangle\[=\frac{1}{2}\times \]base\[\times \]altitude (ii) Base of triangle\[=\frac{2\times \text{Area}}{\text{Altitude}}\] (iii) Altitude of triangle\[=\frac{2\times \text{Area}}{\text{Base}}\] Which of the statement is/are incorrect? |
| A. | only (i) and (ii) |
| B. | only (i) and (iii) |
| C. | only (ii) and (iii) |
| D. | (i), (ii) & (iii) |
| Answer» E. | |
| 625. |
Consider the following statements. (i) Perimeter define as the total boundary length of closed figure. (ii) Area is the amount of surface covered by any shape. (iii) The commonly used units of perimeter are kilometer, meter and centimeter. Which of the statement is/are incorrect? |
| A. | only (i) and (ii) |
| B. | only (i) and (iii) |
| C. | only (ii) and (iii) |
| D. | neither (i), (ii), nor (iii) |
| Answer» E. | |
| 626. |
Consider the following statements: (i) Circumference of a circle is\[2\pi r.\] (ii) Circumference of a circle whose diameter is 4.2 cm, is 13.2 cm. (iii) Radius of circle whose circumference is 88 m is 14m. Which of the statement is/are correct? |
| A. | Only (i) |
| B. | Only (ii) |
| C. | Only (iii) |
| D. | All (i), (ii) and (iii) are correct |
| Answer» E. | |
| 627. |
A B C D |
| A. | 1 2 3 4 |
| B. | 4 3 2 1 |
| C. | 2 3 4 1 |
| D. | 2 4 3 1 |
| Answer» E. | |
| 628. |
A B C D E |
| A. | 3 5 1 4 2 |
| B. | 3 5 4 1 2 |
| C. | 2 4 1 5 3 |
| D. | 3 1 5 2 4 |
| Answer» B. 3 5 4 1 2 | |
| 629. |
DIRECTIONS: Match Column-I with Column-Hand select the correct answer using the codes given below the columns. A B C D E |
| A. | 4 3 5 2 1 |
| B. | 3 4 1 5 2 |
| C. | 3 4 5 1 2 |
| D. | 3 5 4 1 2 |
| Answer» D. 3 5 4 1 2 | |
| 630. |
The volume of a sphere whose surface area is \[2464\,c{{m}^{2}}\]is |
| A. | \[11498.67\,{{m}^{3}}\] |
| B. | \[21160.34\,c{{m}^{3}}\] |
| C. | \[11498.67\,c{{m}^{3}}\] |
| D. | \[21160.34\,{{m}^{3}}\] |
| Answer» D. \[21160.34\,{{m}^{3}}\] | |
| 631. |
The surface area of a cube is 216 sq. cm. Its volume is: |
| A. | \[912\,c{{m}^{2}}\] |
| B. | \[216\,c{{m}^{3}}\] |
| C. | \[512\,c{{m}^{3}}\] |
| D. | \[926\,c{{m}^{2}}\] |
| Answer» C. \[512\,c{{m}^{3}}\] | |
| 632. |
In the shown figure, PQRS is a rectangle and PTRU is a parallelogram shaped shaded region. Find the ratio of shaded region to unshaded region. |
| A. | 0.125694444444444 |
| B. | 0.04375 |
| C. | 0.0840277777777778 |
| D. | 1: 2 |
| E. | None of these |
| Answer» B. 0.04375 | |
| 633. |
The distance covered by a farmer around a field of 120 m length and 80 m width is ...........m. |
| A. | 200 |
| B. | 300 |
| C. | 400 |
| D. | 500 |
| Answer» D. 500 | |
| 634. |
The surface area, volume and length of diagonal of a cuboid whose dimensions are 25 m, 10m and 2 m are respectively: |
| A. | \[640\,{{m}^{2}};\,\,500\,{{m}^{3}};\,\,27\,m\] |
| B. | \[640\,{{m}^{2}};\,\,250\,{{m}^{3}};\,\,30\,m\] |
| C. | \[640\,{{m}^{2}};\,500\,{{m}^{3}};\,\,50\,m\] |
| D. | \[520\,{{m}^{2}};\,\,500\,{{m}^{3}};\,\,27\,m\] |
| Answer» B. \[640\,{{m}^{2}};\,\,250\,{{m}^{3}};\,\,30\,m\] | |
| 635. |
The area of a rhombus is \[4800\,{{m}^{2}}\] and the side is 40 m. The diagonals are: |
| A. | \[{{d}_{1}}=215.04\,m;\,{{d}_{2}}=96.25\,m\] |
| B. | \[{{d}_{1}}=110.15\,m;\,{{d}_{2}}=26.15\,m\] |
| C. | \[{{d}_{1}}=96.15\,m;\,{{d}_{2}}=42.16\,m\] |
| D. | \[{{d}_{1}}=145.83\,m;\,{{d}_{2}}=65.83\,m\] |
| Answer» E. | |
| 636. |
The area of a quadrilateral inscribed in a circle whose side measures 36m, 77m, 75m and 40m respectively is: |
| A. | \[2886\,{{m}^{2}}\] |
| B. | \[2196\,{{m}^{2}}\] |
| C. | \[3228\,{{m}^{2}}\] |
| D. | \[2500\,{{m}^{2}}\] |
| Answer» B. \[2196\,{{m}^{2}}\] | |
| 637. |
In the figure, ABCD is a trapezium in which AB = 15 cm, DC = 9 cm and DE = 8 cm. The area of ABCD is: |
| A. | \[128\,c{{m}^{2}}\] |
| B. | \[25\,c{{m}^{2}}\] |
| C. | \[96\,c{{m}^{2}}\] |
| D. | \[216\,c{{m}^{2}}\] |
| Answer» D. \[216\,c{{m}^{2}}\] | |
| 638. |
In the figure, AD = 4 cm, CE = 6 cm, AE = 5 cm and BE = 3 cm. The area of the quadrilateral ABCD is: |
| A. | \[24\,c{{m}^{2}}\] |
| B. | \[34\,c{{m}^{2}}\] |
| C. | \[72\,c{{m}^{2}}\] |
| D. | \[48\,c{{m}^{2}}\] |
| Answer» C. \[72\,c{{m}^{2}}\] | |
| 639. |
The circumference of a circle is 100 cm. What is the side of the largest square inscribed in the circle? |
| A. | \[\frac{100\sqrt{2}}{\pi }cm\] |
| B. | \[\frac{50\sqrt{2}}{\pi }cm\] |
| C. | \[\frac{100}{\pi }cm\] |
| D. | \[50\sqrt{2}\,cm\] |
| Answer» C. \[\frac{100}{\pi }cm\] | |
| 640. |
If all the sides of a triangle be increased by 200 per cent, what is the corresponding increase in its area? |
| A. | 300% |
| B. | 4 |
| C. | 600% |
| D. | 8 |
| Answer» E. | |
| 641. |
The inside circumference of a circular field is 1188 m. A road 7 m wide is constructed on the outside. Find its area. |
| A. | \[8070\,{{m}^{2}}\] |
| B. | \[8270\,{{m}^{2}}\] |
| C. | \[8370\,{{m}^{2}}\] |
| D. | \[8470\,{{m}^{2}}\] |
| Answer» E. | |
| 642. |
Four circles of radius 1 cm each are placed in such a way on a plane paper that each touches the other. Find the area \[(c{{m}^{2}})\] of the space left in between the four circles,\[(\pi =3.16)\] |
| A. | 0.82 |
| B. | 0.84 |
| C. | 0.86 |
| D. | 0.88 |
| Answer» C. 0.86 | |
| 643. |
The perimeter of a circular plot is equal to that of a square plot. What is the ratio of their respective areas? |
| A. | 13 : 11 |
| B. | 0.590972222222222 |
| C. | 15 : 11 |
| D. | 0.674305555555556 |
| Answer» C. 15 : 11 | |
| 644. |
A marginal walk all around the inside of an oblong piece of ground 40 m by 35 m occupies 650\[{{m}^{2}}\]. Find the width of the walk. |
| A. | 3m |
| B. | 4m |
| C. | 5m |
| D. | 6m |
| Answer» D. 6m | |
| 645. |
How many bricks 20 cm by 10 cm will be needed to pave the floor of a room 25 m long and 16 m wide? |
| A. | 18000 |
| B. | 20000 |
| C. | 22000 |
| D. | 24000 |
| Answer» C. 22000 | |
| 646. |
The angle of a sector of a circle is and the radius of the circle is 21cm. Find the ratio of the circumference of the circle and the length of the area of the sector |
| A. | 220:77 |
| B. | 0.421527777777778 |
| C. | 130:77 |
| D. | 0.209027777777778 |
| E. | None of these |
| Answer» B. 0.421527777777778 | |
| 647. |
The two adjacent sides of a parallelogram are 4 cm and 9 cm. The ratio of its altitudes is |
| A. | 21 : 22 |
| B. | 0.172916666666667 |
| C. | 16 : 81 |
| D. | 0.484027777777778 |
| Answer» C. 16 : 81 | |
| 648. |
A wire in the shape of an equilateral triangle encloses an area of S sq. cm. If the same wire is bent to form of a circle. The area of the circle will be |
| A. | \[\frac{\pi {{S}^{2}}}{9}\] |
| B. | \[\frac{3{{S}^{2}}}{\pi }\] |
| C. | \[\frac{3S}{\pi }\] |
| D. | \[\frac{3\sqrt{3}S}{\pi }\] |
| Answer» E. | |
| 649. |
The parallel sides of an isosceles trapezium ABCD are 14m and 8m. Also the distance between them is 6m» Am and BN are the perpendiculars drawn to CD. Find the ratio of the area of trapezium ABCD and are a of the |
| A. | 22:3 |
| B. | 0.921527777777778 |
| C. | 11:3 |
| D. | 0.464583333333333 |
| E. | None of these |
| Answer» B. 0.921527777777778 | |
| 650. |
The area of a circle whose radius is\[{{r}^{2}}\]is |
| A. | \[\pi {{r}^{2}}\] |
| B. | \[2\pi {{r}^{4}}\] |
| C. | \[\pi {{r}^{4}}\] |
| D. | not possible |
| Answer» D. not possible | |