find the smallest whole no. whose first digit is 4 and value of no. obtained by moving 4 to last place is 1/4 of its original value
Answers
Answer:
We know that b has a 1 in its last place so a must have a 7 in its last place because 7×3=21 is the only product of three which has a 1 in its last place. So
a=7 and b=7×3=21
Now the last digit of both numbers is correct. However, if a ends with 7 then b needs to end with 71 instead of 21. So we lack another 50. How can we get another 50 into b? By adding 50 to a! Because 5×3=15 is the only product of three which has a 5 in its last place. So
a=57 and b=57×3=171
Now the last two digits are correct. However, as above, if a ends with 57 then b needs to end with 571 instead of 171 so we need another 400. How can we get another 400 into b? By adding 800 to a! Because 8×3=24 is the only product of three which has a 4 in its last place. So
a=857 and b=857×3=2571
Answer:
The correct answer is 410256
Step-by-step explanation:
Assuming the complete question to be
Find the smallest whole no. whose first digit is 4 and value of no. obtained by moving 4 to last place is 1/4 of its original value
Options: a)410256 b)4564 c)43336 d)43332
Solution:
We are supposed to move the first digit to the last and then divide the original number by 4 and check whether we get the same number we obtained after shifting the first digit.
a) 410256 gives 102564. 410256/4=102564
b) 4564 gives 5644. 4564/4=1411
c) 43336 gives 33364. 43336/4=10834
d) 43332 gives 33324. 43332/4=10833
Therefore, the correct answer is 410256.