CAT GEOMETRY QUESTIONS

                                                                            CAT Geometry Questions

1. The length of a hall is 5/4 times its breadth. If the area of the floor of the hall be 20, the difference between the length and  breadth is:

1)1m      2)4m                      3)3m      4)5m                      5) none of these

2. Find the area of a parallelogram whose adjacent sides are 15cm and 35cm and diagonal is 40cm

    1.300     2.9003.600     4. 500       5. None of these

3. If the side of a square is doubled, how does the area of square change?

    1. becomes four times   2. Becomes two times                 3. Becomes 8 times   4. No change in area     5. none of these

4. What will be the curved surface area of a cylinder whose radius is 35 cm and height is 10 cm

   1) 2200    2)15400    3)4400          4)700  5) none of these

5. The side of an equilateral triangle is 2  m, and then its area will be

  1.24         2.12         3.4         4.3        5. None of these

6. If the circumference of a circle is 352 m. Then its area in  is:

  1.9856                 2.8956                   3.6589                   4.5986                   5. None of these

7. What will be the volume of the cone having its radius 14 cm and height 12 cm?

   1.2464   2)2644  3) 6422    4) 4642  5) none of these

8. Length of a cuboid is 6cm, bredth is 5cm & height is 4cm.then what will be its total surface area?

  1.148     2.180   3. 144   4)88  5) none of these

9. The radius of a circle has been reduced from 9 cm to 7cm. the approximate % decrease in area is:

  1)31.5%              2)39.5%                3)34.5%        4)65.5%        5) none of these

10) What will be area of a triangle with sides 12m, 16m and 20 m?

   1.) 96    2)102    3)48     4)36 5) none of these

11)  The length of 10cm high hall is 12 cm an its width is 15 cm. find the cost of painting its four walls if cost of painting is Rs.12 per sq. m

   1) Rs.7920    2)660    3)8280        4)7290   5) none of these

12) If the surface area of a sphere is 154 then what will be its radius

    1.7cm         2.14 cm                        3. 28cm                 4.49        5. None of these

13) The base of a right angle triangle is 10 cm and hypotenuse is 26cm.its area will be

  1)250      2)120   3) 360     4) 200  5) none of these

14) If three cubes of metal 3cm, 4cm and 5 cm are melted together and made into single cube. Then edge of new cube                      so formed will be

   1.6                       2.7.5                      3.7                          4.8                          5. None of these

15) The ratio of radii of two circles is 2:5. The ratio of their areas will be

    1.4:10                2. 4:25                   3.8:125                  4.2:5                      5. None of these

                                                                        Answer key

1)1    2)1               3)1          4)1          5)4          6)1          7)1          8)1          9)2          10)1       11)5       12)3       13)2       14)1

15)2

Explanation

1. let breadth =4x then length eill be 5x

   According to question     length × breadth =20

 So 20=20

 So x=1

Then breadth=4 and length =5 & their difference will be 1

2. for this we will  divide parallelogram into two congruent triangles

area of any  triangle=

 So s=45 now area =

So area of parallelogram will be 300

3.Let side changes into 2x from x then  area will become  4

 So ans, is option 1

4. curved surface area will be =2πrh

So ans. Is 2××35×10=2200

5. area of equilateral triangle ==3 cm

6. circumference =2πr=352

Solving it we will get r=56

Now area will be π=9856sq.cm

7. volume of cone =

8. surface area of cuboid =2(lb+bh+hl)=2(6×5+5×4+4×6)=148 sq. cm

9. area of circle with radius 9cm = 81π

area of circle with radius 7cm = 49π

difference=32π

so % change =

10. area of any  triangle=

 So s=48 cm now area =

11. area of four walls =2(L+B)×H=2(12+15)×10=540

 So cost =540×12=6480

12. surface area of sphere =4π

  R=3.5 cm

13. perpendicular =

 Now area =

14. adding the volume of these cubes we get

 So side of new cube =6

15. ratio of their area = square of their ratio

So ans. Is 4:25 

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