Verbal Reasoning - Arithmetic Reasoning - Discussion
Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 8)
8.
A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?
Answer: Option
Explanation:
Clearly, while counting, the numbers associated to the thumb will be : 1, 9,17, 25,.....
i.e. numbers of the form (8n + 1).
Since 1994 = 249 x 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger.
Discussion:
41 comments Page 1 of 5.
Nivedita said:
7 years ago
Answer: INDEX FINGER.
Series of numbers on thumb finger:
1,9,17,25..... i.e) (8*0+1), (8*1+1), (8*2+1).......(8*n+1).
Number close to 1994(given in question) that is divisible by 8 is 1992.
i.e) 1992/8 = 249..reminder 0...from this statement it can be written as 8*n, i.e) 8*249=1992.
Now,
1993/8 gives a reminder of 1, from this statement it can be written in the form of 8*n+1 as (8*249+1). So it comes on thumbs.
And the next number, 1994 comes on index finger.
Series of numbers on thumb finger:
1,9,17,25..... i.e) (8*0+1), (8*1+1), (8*2+1).......(8*n+1).
Number close to 1994(given in question) that is divisible by 8 is 1992.
i.e) 1992/8 = 249..reminder 0...from this statement it can be written as 8*n, i.e) 8*249=1992.
Now,
1993/8 gives a reminder of 1, from this statement it can be written in the form of 8*n+1 as (8*249+1). So it comes on thumbs.
And the next number, 1994 comes on index finger.
(2)
Divya Dharani said:
9 years ago
ANS : INDEX FINGER.
4 * 1 = 4 falls on ring finger
4 * 2 = 8 falls on index finger
4 * 3 = 12 falls on ring finger
4 * 4 = 16 falls on index finger and so on
So, (4 * odd number) falls on ring finger and (4 * even number) falls on index finger.
1994 => nearest 4 multiple less than 1994 is 1992 which is 4 * 498 (4 * even number) -> this falls on index finger. So, 1993 falls on thumb and 1994 falls on INDEX FINGER.
4 * 1 = 4 falls on ring finger
4 * 2 = 8 falls on index finger
4 * 3 = 12 falls on ring finger
4 * 4 = 16 falls on index finger and so on
So, (4 * odd number) falls on ring finger and (4 * even number) falls on index finger.
1994 => nearest 4 multiple less than 1994 is 1992 which is 4 * 498 (4 * even number) -> this falls on index finger. So, 1993 falls on thumb and 1994 falls on INDEX FINGER.
Pooja Gowda said:
9 years ago
Thumb 1.
Index finger 2.
Middle finger 3.
Ring finger 4.
Little finger 5.
Ring finger 6.
Middle finger 7.
Index finger 8.
Thump 9.
Index finger 10.
So on.
Sequence of numbers with thumb are 1, 9, 17, ....
This series can be represented by (8n + 1) where n = 0, 1, 2.
1994/8 = 249, remainder = 2.
ie => (8 * 249 + 1) = 1993 which represents thump.
Therefore, 1994 represents index finger.
Index finger 2.
Middle finger 3.
Ring finger 4.
Little finger 5.
Ring finger 6.
Middle finger 7.
Index finger 8.
Thump 9.
Index finger 10.
So on.
Sequence of numbers with thumb are 1, 9, 17, ....
This series can be represented by (8n + 1) where n = 0, 1, 2.
1994/8 = 249, remainder = 2.
ie => (8 * 249 + 1) = 1993 which represents thump.
Therefore, 1994 represents index finger.
Nethaji said:
1 decade ago
Ring finger is the correct answer because 1994/5 = 398+4.
You will have remainder 4.
Since she started counting from left side and counts back to right side 2 rounds will be completed. I that way 398 is exactly divisible by 2.
At present her count should come from left side there remainder is 4 so count 1, 2, 3, 4 from our left side then you get the answer.
You will have remainder 4.
Since she started counting from left side and counts back to right side 2 rounds will be completed. I that way 398 is exactly divisible by 2.
At present her count should come from left side there remainder is 4 so count 1, 2, 3, 4 from our left side then you get the answer.
Swapnil Bombe said:
7 years ago
Thumb comes 1,9,17... i.e., after each 8th count.
But for first time we start count from thumb and for remaining all we start count from index finger.
So due to 8th count count we take as 8n.
And for first time we start count from thumb and for remaining all we start from index finger, so we add 1 to it.
Then expression becomes 8n+1.
But for first time we start count from thumb and for remaining all we start count from index finger.
So due to 8th count count we take as 8n.
And for first time we start count from thumb and for remaining all we start from index finger, so we add 1 to it.
Then expression becomes 8n+1.
Atul Kamble said:
1 decade ago
The thumb finger gets the value 1,9,17,...etc. So the difference between each is 8. Now dividing 1994 by 8, we get 249.25 as quotient. So selecting nearby value for getting remainder as 0, 1992/8=249 which represents the thumb finger. So adding 2 which will give 1994 & the selection will be middle finger.
Ravindra Deshpande said:
9 years ago
Ring finger is the correct answer.
It's only at first instance that all 5 fingers are counted. Then onwards it's only 4 fingers every time. Last set is 249th set.
Odd sets begin with Thumb & end at little finger (249x 8 + 1= 1993).
Hence 1994 will end at Ring finger.
It's only at first instance that all 5 fingers are counted. Then onwards it's only 4 fingers every time. Last set is 249th set.
Odd sets begin with Thumb & end at little finger (249x 8 + 1= 1993).
Hence 1994 will end at Ring finger.
Sumit Krishn said:
8 years ago
The answer must be "Ring Finger" because,
One hand can count upto 7 each time. Then, 1994/7 gives 284 as quotient and 6 as remainder. So, after counting 284 time on the same hand, she starts counting again and 1994 will come on the 6th place, that is the ring finger.
One hand can count upto 7 each time. Then, 1994/7 gives 284 as quotient and 6 as remainder. So, after counting 284 time on the same hand, she starts counting again and 1994 will come on the 6th place, that is the ring finger.
Danish Mansoori said:
1 decade ago
Correct answer is ring finger. Because thumb is closed when it is 10.
So when it will be 1990 the thumb will be closed and we will start by opening the thumb by 1991, then index finger as 1992, then middle finger as 1993 and ring finger as 1994.
So when it will be 1990 the thumb will be closed and we will start by opening the thumb by 1991, then index finger as 1992, then middle finger as 1993 and ring finger as 1994.
Rahul Kumar said:
8 years ago
Since, Index no. _ 2,8,10,16,......
Middle Finger _ 3,7,11,15,......
So, middle finger is in A.P. with c.d.= 4.
Divide 1994/2 = 498 * 4 + 2.
Now, 1992 falls on the middle finger.
So, increasing +2 we get Index finger.
Middle Finger _ 3,7,11,15,......
So, middle finger is in A.P. with c.d.= 4.
Divide 1994/2 = 498 * 4 + 2.
Now, 1992 falls on the middle finger.
So, increasing +2 we get Index finger.
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