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GAT-B Arts, Humanities & Social Science Quantitative
| Sr. # | Questions | Answers Choice |
|---|---|---|
| 1 | A cylinder and the cube have the same volume, if the height, h, of that cylinder is equal to the edge e of the cube, the radius of the cylinder is: | √π/h π/h h/√π 2π/h |
| 2 | A solid metal cube of side 5 inches is placed in a rectangular tank whose length, breadth and height are 5, 6 and 7 inches, respectively. What is the volume in cubic units, of water that the tank can now held ? | 210 cubic inches 85 cubic inches 125 cubic inches 216 cubic inches |
| 3 | The volume of a cube is 216, its surface area is: | 64 216 25 96 |
| 4 | The surface area of a cube is 180, its volume is: | 125 30 164 30√30 |
| 5 | 2535 cm<sup>2</sup> 2720 cm<sup>2</sup> 3348 cm<sup>2</sup> 628 cm<sup>2</sup> | |
| 6 | A square, with perimeter 16, is inscribed in a circle, what is the area of the circle ? | 3π 2√2π 32π 8π |
| 7 | If the radius of the circle is decreased by 20%, what happens the area ? | 10% in crease 20% decrease 80% increase 36% decrease |
| 8 | 28 - 2<i>x</i> 4(14 - 4<i>x</i>) 48 - 3<i>x</i> 7(6 - 3<i>x)</i> | |
| 9 | 12 cm<sup>2</sup> 25 cm<sup>2</sup> 9 cm<sup>2</sup> 17.23 cm<sup>2</sup> | |
| 10 | 6 49 8 Not possible | |
| 11 | The area of the sector which contains an angle of 60o of circle of radius 7 cm, is: | 25 2/3 cm<sup>2</sup> 27 2/3 cm<sup>2</sup> 41 cm<sup>2</sup> √3 5/28 cm<sup>2</sup> |
| 12 | π<sup>2</sup>(r<sup>2</sup> - R<sup>2</sup>) πr<sup>2</sup> + πR<sup>2</sup> π<sup>2</sup>(R + r)(R - r) π(R + r)(R - r) | |
| 13 | 54 cm<sup>2</sup> 24 cm<sup>2</sup> 96 cm<sup>2</sup> 59 cm<sup>2</sup> | |
| 14 | 125 sq.cm 150.72 sq.cm 64 sq.cm 56 sq.cm | |
| 15 | Direction:In the following type of question,each consists of two quantities,one in column A and one in column B.You must compare two quantities and on the answer sheet fill in. A.If the quantity in column A is greater. B.If the quantity in column B is greater. C.If the two quantities are equal. D.If the relationship cannot be determined from the information given. Notes:Sometimes,in certain question,information concerning one or both the quantities to be compared is centered above the two columns.A symbol that in both columns represents the same thing in column A as it does in column B. Column A Q1.The product of the odd integers between -8 and 8. Column B Q1.The product of the even integers between -9 and 9. |
A B C D |
| 16 | 33π 24π 25π 11π | |
| 17 | The height of a triangle of base 3 cm and area 9 cm2 is: | 6 cm 9 cm 18 cm 22 cm |
| 18 | 16 sq.cm 15 sq.cm 60 sq.cm None of these | |
| 19 | 125 sq.cm 132 sq.cm 139 sq.cm 97 sq.cm | |
| 20 | The surface area of sphere of radius 3 1/2 cm is: | 130 sq.cm 69 sq.com 154 sq.cm 98 sq.cm |
