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Area (GATE) Question and Answers-Page first

Area problems


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  • 1. The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is

  • Options
  • A. 5100 sq.m
  • B. 4870 sq.m
  • C. 4987 sq.m
  • D. 4442 sq.m

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  • 2. Area of a square and a rectangle are equal. If side of the square is 40 cm and length of the rectangle is 64 cm, what is the perimeter of the rectangle ?

  • Options
  • A. 187 cm
  • B. 178 cm
  • C. 149 cm
  • D. 194 cm

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  • 3. The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ?

  • Options
  • A. 15 cm
  • B. 18 cm
  • C. 34 cm
  • D. 26 cm

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  • 4. The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm.

  • Options
  • A. Only statement A is required
  • B. Only statement B is required
  • C. Both A & B are required
  • D. Neither (A) nor (B) is reuired

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  • 5. A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?

  • Options
  • A. 28 cm
  • B. 3.5 cm
  • C. 7 cm
  • D. 14 cm

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  • 6. Square units 13 by 9 of an office area is

  • Options
  • A. 97
  • B. 117
  • C. 107
  • D. 127

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  • 7. The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?

  • Options
  • A. 333 sq.mts
  • B. 330 sq.mts
  • C. 362 sq.mts
  • D. 432 sq.mts

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  • 8. The length and the breadth of rectangular field are in the ratio of 8 : 7. If charges of the painting the boundary of rectangle is at Rs. 10 per meter is Rs. 3000. What is the area of rectangular plot?

  • Options
  • A. 5600 sq.m
  • B. 1400 sq. m
  • C. 4400 sq.m
  • D. 3600 sq.m

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  • 9. The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ?

  • Options
  • A. 18 cm
  • B. 12 cm
  • C. 16 cm
  • D. 14 cm

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  • 10. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

  • Options
  • A. 108 sq.cm
  • B. 112 sq.cm
  • C. 116 sq.cm
  • D. 120 sq.cm

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