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 ?
Thumb
Index finger
Middle finger
Ring 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 4 of 5.

Chiso said:   1 decade ago
Please explain where numbers of the form 8n + 1 come from. I don't understand.

Shu said:   1 decade ago
Ring finger is correct because we get 4 in unit's place only on it.

Raj said:   1 decade ago
How the sequence be 1, 9, 17... Can you please elaborate. First two digits 1 and 9 are correct and later on how 17 will come?

Piyali said:   1 decade ago
249 digit how it will come?

Kavy saah said:   1 decade ago
Here Arithmetic progression rule followed :

a+(n-1)d nd aftr dat 2a+(n-1)d for calculating sum of and the result will be proceeding of 1 so we extend 1 nd we finally get index which is after thumb.

Vikas said:   1 decade ago
1994 may be divide purely by only 2 then at two number position which finger is, the finger is Index finger at second position, which comes after thumb, so answer is Index finger.

Tist said:   1 decade ago
Index finger is absolutely right answer. i.e.,(8n+1) is the thumb in this case 1992 is multiplication of 249x8. So (8x249+1)=1993 is thumb then next finger is index finger.

Kaleem said:   1 decade ago
Sequence of counting is not clear?

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.

Devarchit Prusty said:   1 decade ago
As we found the form of the sequence is 8n+1.

Then divide 1994 by 8. Resultant is 249 and remainder is 2. So now (n=249)8+2.

2 means 2nd finger 4 index finger.


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