Verbal Reasoning - Dice - Discussion
Discussion Forum : Dice - Dice 2 (Q.No. 1)
Directions to Solve
Six dice with upper faces erased are as shows.
The sum of the numbers of dots on the opposite face is 7.
1.
If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?
Answer: Option
Explanation:
Even numbered dice are: (II), (IV) and (VI)
No. of dots on the top face of (II) dice = 6
No. of dots on the top face of (IV) dice = 6
and No. of dots on the top face of (VI) dice = 6
Therefore Required total = 6 + 6 + 6 = 18
Discussion:
33 comments Page 2 of 4.
Rohit Dakave said:
1 decade ago
Consider a dice,opposite faces are always in pairs(1,6)(2,5)(3,4)
->"No need to look at the condition"
1)In 1st ques we want even numbered dice i.e 2,4 and 6th dice top faces with even no.
from fig(2) we can see that 4 and 5 are visible means we have 3 opposite of 4 and 2 opposite of 5.so now we are left with 1 and 6.
now we want 6 at the top(even)so 1 wiil be at the bottom face
so from 2nd dice we got 6
Similarly in 4th dice we can see 2 and 4, means 5 will be opposite of 2 and 3 will opposite of 4 left with 1 and 6
we want 6(even) at the top so 1 wiil be at the bottom face
so from 4th dice we get 6
Similarly in 6th dice we can see 4 and 5, means 3 will be opposite of 4 and 2 will opposite of 5 left with 1 and 6
we want 6(even) at the top so 1 wiil be at the bottom face
so from 6th dice we get 6
Adding 6+6+6=18.
Using above procedure rest of the problems can be solved easily.
->"No need to look at the condition"
1)In 1st ques we want even numbered dice i.e 2,4 and 6th dice top faces with even no.
from fig(2) we can see that 4 and 5 are visible means we have 3 opposite of 4 and 2 opposite of 5.so now we are left with 1 and 6.
now we want 6 at the top(even)so 1 wiil be at the bottom face
so from 2nd dice we got 6
Similarly in 4th dice we can see 2 and 4, means 5 will be opposite of 2 and 3 will opposite of 4 left with 1 and 6
we want 6(even) at the top so 1 wiil be at the bottom face
so from 4th dice we get 6
Similarly in 6th dice we can see 4 and 5, means 3 will be opposite of 4 and 2 will opposite of 5 left with 1 and 6
we want 6(even) at the top so 1 wiil be at the bottom face
so from 6th dice we get 6
Adding 6+6+6=18.
Using above procedure rest of the problems can be solved easily.
(2)
Angel said:
1 decade ago
Rohit best explanation! keep it up !
Sujith(SpT) said:
1 decade ago
Keep in mind that the sum of the numbers of dots on the opposite face is 7.
take 4 dotted face : here from figure the adjacent faces are [5,3,2] and the remaining are {1,3} so opp. to 4 is 3 (4+3=7).
Take 5 dotted face : here from figure the adjacent faces are [4,1] and the remaining are {2,3,6} so opp. to 5 is 2 (5+2=7).
Take 6 dotted face : here from figure the adjacent faces are [3,5] and the remaining are {1,2,4} so opp. to 6 is 1 (6+1=7).
Keep in mind that here even numbers can only be 2,4,and 6.
Now consider (II) : here 4 is there,and opp. to 5 is 2 then only possibility is 6 on top.
Consider (IV): here 2 and 4 is there then only possibility is 6 on top.
Consider (VI): same as (II). so 6 on top.
So adding 6+6+6 = 18 is the answer.
take 4 dotted face : here from figure the adjacent faces are [5,3,2] and the remaining are {1,3} so opp. to 4 is 3 (4+3=7).
Take 5 dotted face : here from figure the adjacent faces are [4,1] and the remaining are {2,3,6} so opp. to 5 is 2 (5+2=7).
Take 6 dotted face : here from figure the adjacent faces are [3,5] and the remaining are {1,2,4} so opp. to 6 is 1 (6+1=7).
Keep in mind that here even numbers can only be 2,4,and 6.
Now consider (II) : here 4 is there,and opp. to 5 is 2 then only possibility is 6 on top.
Consider (IV): here 2 and 4 is there then only possibility is 6 on top.
Consider (VI): same as (II). so 6 on top.
So adding 6+6+6 = 18 is the answer.
Rahul said:
1 decade ago
Nicely explained but too long answer I don't think this will come for nata exam.
Arun said:
1 decade ago
I think 2 4 6 dice contain 9, 6, 9 dots so answer will be 24 I think once 0 through this.
Tanay said:
9 years ago
But by the figures V and VI, 1 is opposite to 4.
Tanay said:
9 years ago
Well done Rohit now I understood the question very well. Thanks a lot.
Jeetsingh said:
8 years ago
Thanks @Anand.
Santhosh said:
8 years ago
As explained above all 6, except 5th are having 1 at the bottom. And all should have 6 at the top, but 1st dice is having 6 adjacent to 1.
Harsh said:
8 years ago
These are standerd dice and each nearest faces sum is not equal to 7 that's why we taking 6.
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