Question:
Read the following about the grid given below and answer.
The cells in this grid contain the digits 1 to 9 in random order.
Column A contains no odd digits.
Cell C3 minus Cell C2 equals 4.
The sum of three digits in Row 1 is 17.
Number 7 is in Column B; its left hand neighbour is not 4.
The digits of Column C add up to 14.
2 is not in the same horizontal row as 8; and 9 is not immediately below 3.
A B C 1 2 3
Which cell holds the number 9?
Read the following about the grid given below and answer.
The cells in this grid contain the digits 1 to 9 in random order.
Column A contains no odd digits.
Cell C3 minus Cell C2 equals 4.
The sum of three digits in Row 1 is 17.
Number 7 is in Column B; its left hand neighbour is not 4.
The digits of Column C add up to 14.
2 is not in the same horizontal row as 8; and 9 is not immediately below 3.
Which cell holds the number 9?
The cells in this grid contain the digits 1 to 9 in random order.
Column A contains no odd digits.
Cell C3 minus Cell C2 equals 4.
The sum of three digits in Row 1 is 17.
Number 7 is in Column B; its left hand neighbour is not 4.
The digits of Column C add up to 14.
2 is not in the same horizontal row as 8; and 9 is not immediately below 3.
| A | B | C | |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 |
Which cell holds the number 9?
Show Hint
Pin down Column C first from the difference and sum clues, then Column A from the no-odd-digit rule, and use the last two clues to break the final tie.
Updated On: Jul 14, 2026
- B1
- B3
- C2
- C1
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Column C: C3-C2=4, sum=14 -> only (C2,C3)=(1,5) works giving C1=8. Column A (no odd digits, 8 used in C) = {2,4,6}. Column B = {3,7,9}. Row1: A1+B1+8=17 -> A1+B1=9; testing rules (2 not with 8 in row1) gives A1=6,B1=3. Remaining: A2,A3={2,4}; B2,B3={7,9}. Rule: 9 not immediately below 3(B1) -> B2≠9 -> B2=7,B3=9. Rule: 7's left neighbour not 4 -> A2≠4 -> A2=2,A3=4.
Final grid: Row1:6,3,8; Row2:2,7,1; Row3:4,9,5. 9 is at B3.
Final Answer: B3, option (2).
Final grid: Row1:6,3,8; Row2:2,7,1; Row3:4,9,5. 9 is at B3.
Final Answer: B3, option (2).
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