यदि संख्या 2893#$ में, संख्या 5 से विभाज्य है, तो # और $ के स्थान पर आने वाले अंकों का क्रम क्या होगा?
If the number 2893#$ is divisible by 5, then what will be the order of digits replacing # and $?
Options / विकल्प:
(a) 0, 2
(b) 2, 2
(c) 0, 0
(d) 2, 0
Solution / समाधान
Rule of divisibility by 5 / 5 से विभाज्यता का नियम:
A number is divisible by 5 if its last digit is 0 or 5.
कोई संख्या 5 से तभी विभाज्य होती है जब उसका अंतिम अंक 0 या 5 हो।
In the number 2893#$, the last digit is $.
Given options, only the values of $ are:
- (a) $ = 2 ❌
- (b) $ = 2 ❌
- (c) $ = 0 ✅
- (d) $ = 0 ✅
Thus, only options (c) and (d) satisfy divisibility by 5.
If we choose the usual convention of taking the smallest possible value for #, then:
# = 0, $ = 0
Number = 289300, which is divisible by 5.
Answer / उत्तर
✅ (c) 0, 0
# = 0 and $ = 0.
अतः सही उत्तर (c) 0, 0 है।
Note: Based only on the divisibility rule of 5, option (d) i.e., (2, 0) would also make the number divisible by 5. The question appears incomplete or may contain a printing error.