A cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm. What is the total number of smaller cubes having none of their faces painted

1.  16

2.  8

3.  12

4.  None of these

View Answer  
4
Correct Answer :

8


Explanation :
No Explanation available for this question

From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the cut to the uncut portion

1.  1 :3

2.  4 : 1

3.  3: 1

4.  4 : 3

View Answer  
4
Correct Answer :

1 :3


Explanation :
No Explanation available for this question

Four friends Mani, Sunny, Honey & Funny start from four towns Mindain, Sindain, Hindain and Findain respectively. The four towns are at the four comers of an imaginary rectangle. They meet at a point which falls inside this imaginary rectangle. At that point three of them (Mani, Sunny and Honey had travelled distances of 40 m, 50 m and 60 m respectively). The maximum distance that Funny could have travelled is near about:

1.  67 m

2.  53 m

3.  24m

4.  Cannot be determined

View Answer  
4
Correct Answer :

67 m


Explanation :
No Explanation available for this question

Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90° or concave if the internal angle is 270°. If the number of convex corners in such a polygon is 29, the number of concave corners must be

1.  20

2.  0

3.  25

4.  26

View Answer  
4
Correct Answer :

25


Explanation :
No Explanation available for this question

In the figure (not drawn to scale) given below, L is a point on AB such that AL : LB = 4 : 3. LQ is parallel to AC and QD is parallel to CL. In AARC, ZA.RC = 90°, and in A. LQS, LLSQ = 90°. What is ratio AL : LD

1.  3 : 7

2.  4 : 3

3.  7 : 3

4.   8 :3

View Answer  
4
Correct Answer :

7 : 3


Explanation :
No Explanation available for this question

In the diagram given below, Z ABC = LOB = ZPQD = 90°. If AB : CD== 3 : 1', the ratio of CD : PQ is:

1.  1 : 0.666

2.  1 : 0.75

3.  1 : 0.54

4.  None of the above

View Answer  
4
Correct Answer :

1 : 0.75


Explanation :
No Explanation available for this question

In the figure given below, ABCD is a rectangle. The area of the isosceles right triangle ABE = 9 cm2. EC = 3(BE). The area of ABCD (in cm2) is:

1.  27

2.  36

3.  54

4.  72

View Answer  
4
Correct Answer :

72


Explanation :
No Explanation available for this question

The length of the common chord of two circles of radii 15 cm and 20 cm whose centres are 25 cm apart, is (in cm):

1.  24

2.  10

3.  12

4.  20

View Answer  
4
Correct Answer :

24


Explanation :
No Explanation available for this question

A square tin sheet of side 24 inches is converted into a box with open top in the following steps: The sheet is placed horizontally. Then, equal sized squares, each of side x inches, are cut from the four corners of the sheet. Finally, the four resulting sides are bent vertically upwards in the shape of a box. If x is an Integer, then what value of x maximizes the volume, of the box

1.  6

2.  8

3.  2

4.  4

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

Let Si be a square of side a. Another square S2 is formed by joining the mid-points of the sides of Si. The same process is applied to S2 to form yet another square S3, and so on. If Ai, A2, A3,   be the areas and P1, P2, P3,  be the perimeters of Si, S2, S3, respectively, then the ratio  A1+A2+A3+... /P1+P2 + P3 + ... equals:

1.   1/ 2(1 +√2 )

2.  a/2(2 - √2)

3.  a/2(2 +√2 )

4.  a/2(1 + 2√2)

View Answer  
4
Correct Answer :

a/2(2 +√2 )


Explanation :
No Explanation available for this question
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