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Reasoning

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Q61.
Direction  :  A cube is painted red and all its faces and is then divided into 343 equal cubes.
How many cubes have no face painted ?
1) 27 2) 64
3) 125 4) 216
5)None of these
Answer : 125
Explanation : The number of cubes where no face is painted = The number of cubes who one face is visible
 =  (a - 2)3 = (7 - 2)3 = 125.
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Q62.
Direction  :  A cube is painted red and all its faces and is then divided into 343 equal cubes.

How many cubes will have one face painted ?
1) 112 2) 148
3) 150 4) 162
5)None of these
Answer : 150
Explanation : The number of cubes whose one face is painted = The number of cubes who one face is visible = 6 (a - 2)2 = 6 (7 - 2)2 = 150
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Q63.
Direction  :  A cube is painted red and all its faces and is then divided into 343 equal cubes.

How may cubes will have two faces painted ?
1) 45 2) 50
3) 56 4) 60
5)None of these
Answer : 60
Explanation :
Since, the cube is divided into 343 equal cubes i.e. (7)3 equal cubes, assume the edge length of the cube to be 7, (a = 7). This is done using the idea of unit cubes. (A cube of edge length a unit can be divided into a3 unit cubes)

The number of cubes whose two faces are painted = The number of cubes whose two faces are visible = 12 (a - 2) = 12 (7 - 2) = 60
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Q64.
Direction  :  A cube is painted red and all its faces and is then divided into 343 equal cubes.

How many cubes will have three faces painted ?
1) 0 2) 4
3) 8 4) 16
5)None of these
Answer : 8
Explanation :
Since the cube is divided into 343 equal cubes i.e. (7)3 equal cubes, assume the edge length of the cube to be 7, (a = 7). This is done using the idea of unit cubes. (A cube of edge length a unit can be divided into a3 unit cubes)

The number of cubes whose three face are painted is equal to the number of cubes whose three faces are visible. (Since only those faces which are visible can be painted). 
Hence, the number is 8.
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Q65.
Directions : Read the following information carefully to answer the questions given below:
i) There are six different books on different subjects P, Q, K, S, T and U. 
These books are kept one above the other on a shelf. These books belong to six different persons — A, B, C, D, E and F. It is not necessary that the orders of these books and persons are the same.
ii)  Only book of subject Q is kept between the books of subject P and T and only book of subject S is kept between books of subject P and U. The book of subject R is immediately above the book of subject T.
iii) C’s book is kept on the top. A does not have books on subjects T and S. The book on subject P belongs to F. The book on subject U belongs neither to B nor to A. D’s book is kept at the bottom.

The book on which of the following subjects is kept on the top ?
1) T 2) R
3) U 4) D.I
5)None of these
Answer : R
Explanation :
              Books Persons
R C
T B/ E
Q A
P F
S B/E
U D
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Q66.
Directions : Read the following information carefully to answer the questions given below:
i) There are six different books on different subjects P, Q, K, S, T and U. 
These books are kept one above the other on a shelf. These books belong to six different persons — A, B, C, D, E and F. It is not necessary that the orders of these books and persons are the same.
ii) Only book of subject Q is kept between the books of subject P and T and only book of subject S is kept between books of subject P and U. The book of subject R is immediately above the book of subject T.
iii) C’s book is kept on the top. A does not have books on subjects T and S. The book on subject P belongs to F. The book on subject U belongs neither to B nor to A. D’s book is kept at the bottom.

Who owns the book on subject U ?
1) B 2) E
3) D 4) C
5)None of these
Answer : D
Explanation :
              Books Persons
R C
T B/ E
Q A
P F
S B/E
U D
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Q67.
Directions : Read the following information carefully to answer the questions given below:

i) There are six different books on different subjects P, Q, K, S, T and U. 
These books are kept one above the other on a shelf. These books belong to six different persons — A, B, C, D, E and F. It is not necessary that the orders of these books and persons are the same.
ii)  Only book of subject Q is kept between the books of subject P and T and only book of subject S is kept between books of subject P and U. The book of subject R is immediately above the book of subject T.
iii) C’s book is kept on the top. A does not have books on subjects T and S. The book on subject P belongs to F. The book on subject U belongs neither to B nor to A. D’s book is kept at the bottom.

The book on which of the following subjects belongs to A?

1) Q 2) S
3) P 4) T
5)None of these
Answer : Q
Explanation :
             Books       Persons
R C
T B/ E
Q A
P F
S B/E
U D
View Answer

Q68.
Directions : Five friends A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting near E, E is on the left end of the bench,. C is on second position from the right. A is on the right side of B and to the right side of E. A and C are sitting together.

Where is A sitting ?
1) Between B and C 2) Between D and C
3) Between E and D 4) Between C and E
5)None of these
Answer : Between B and C
Explanation : The sequence is :  E   B   A   C   D

So, A is sitting between B and C.
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Q69.
Directions : Five friends A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting near E, E is on the left end of the bench,. C is on second position from the right. A is on the right side of B and to the right side of E. A and C are sitting together.

Who among is sitting in the centre ?

1) A 2) B
3) C 4) D
5)None of these
Answer : A
Explanation : The above arrengement is  : G    B    C    D    E    F   A

So, 'D' is sitting in the center.
View Answer

Q70.
What should be the missing number to make a complete sequence.

1) 8 2) 10
3) 12 4) 16
5)None of these
Answer : 12
Explanation : The sequence is : (3+6) +3=12, (5+10) +5 =20
So, (4 +8) = 12 
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