A kid was playing with a basket with 65 toys inside it. He took 25 from it but put 18 back to the basket. Then again he took 22 out but put 17 back into the basket. Lastly, he took 18 toys out from the basket. So, how many toys are there inside and outside the basket?

A)
Inside27,Outside38

B)
Inside30,Outside35

C)
Inside35,Outside30

D)
Inside37,Outside28

Inside35,Outside30

All the faces of the cube of side 15 cm are painted in red, then it is divided into smaller cubes of 3 cm. How many smaller cubes have only two surface painted?

A)
24

B)
36

C)
16

D)
18

36

Explanation : A cube of side 15 cm is cut into smaller cube of side 3 cm. So, one side of big cube equals 5 sides of smaller cube.
The big cube divided into 5 x 5 x 5 = 125 smaller cubes.
There are 8 original corners on the original cube having 3 painted sides = 8 cubes
There are 12 edges on the original cube, each edge has 3 cubes with 2 painted sides, 12 edges *3 cubes = 36 cubes
There were 6 faces, each with 4 cubes with one painted side, 6 faces *9 cubes = 54 cubes
Therefore, cubes which don't have any coloured side= 125 - 8 - 36- 54 = 27 cubes

A, B & C start running at the same time and in the same direction on a circular path. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds. After what time will they all meet again for the first time?

A)
26 minutes 18 seconds

B)
42 minutes 36 seconds

C)
45 minutes

D)
46 minutes 12 seconds

46 minutes 12 seconds

Explanation :

A, B and C will meet again =L.C.M. of 252, 308 and 198 seconds
that is
252 = 2 * 2* 3 * 3 * 7
308 = 2 * 2 * 7 * 11
198 = 2 * 3 * 3 * 11
So, LCM = 2 * 2* 3 * 3 * 7 * 11 = 36 * 77 seconds = 2772 seconds i.e., 46 min. 12 sec

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

A)
8

B)
12

C)
16

D)
24

8

Explanation :

A cube of side 12 cm is cut into smaller cube of side 3 cm. So, one side of big cube equals 4 sides of smaller cube.
The big cube divided into 4 x 4 x 4 = 64 smaller cubes.
There are 8 original corners on the original cube having 3 painted sides = 8 cubes
There are 12 edges on the original cube, each edge has 2 cubes with 2 painted sides,12 edges *2 cubes =24 cubes
There were 6 faces, each with 4 cubes with one painted side, 6 faces *4 cubes = 24 cubes
Therefore, cubes which don't have any coloured side= 64 - 8 - 24 - 24 = 8 cubes

In a dance performance 5 kids are performing standing in a row. G is to the left of H and to the right of I. J is to the right of K but to the left of I. Who is standing in the middle?

A)
I

B)
J

C)
K

D)
G