a least no. of 4 when increased by 5 is completely divisible by 12,15,20 and 35. the no. is .
a. 1275.
b.1265.
c.1235.
d.1255.
Answers
Answer:
(d) 1255
1255 is correct answer
Explosion:
1255 + 5 = 1260
▪1260 = 12 × 105
▪1260 = 15 × 84
▪1260 = 20 × 63
▪1260 = 35 × 36
hope it helps you...✌
❖❖❖❖❖❖❖❖❖ QUESTION ❖❖❖❖❖❖❖❖❖❖❖
Least no. of 4 digits which when increased by 5 is completely divisible by 12,15,20 and 35. the no is__
OPTIONS
a) 1275
b) 1265
c) 1235
d) 1255
✤✤✤✤✤✤✤✤✤✤ ANSWER ✤✤✤✤✤✤✤✤✤✤✤
OPTION (D) 1255
➷➷➷➷➷➷➷➷EXPLANATION➷➷➷➷➷➷➷➷➷➷
Firstly find the LCM of 12, 15, 20 and 35
LCM(12, 15,20,35) = 420
LCM is 3 digit no. so multiplying it by 2
420×2 = 840
840 is also 3 digit so multiplying LCM by 3
420×3 = 1260
1260 is the least 4 digit no. divisible by 12,15,20 & 35
decreasing 1260 by 5
1260 - 5 = 1255
SO, 1255 IS THE LEAST 4 DIGIT NO. WHICH WHEN INCREASED BY 5 IS COMPLETELY DIVISIBLE BY 12,15,20 AND 35.
✿✿✿✿ I hope it will be helpful ✿✿✿✿