Question:
Find the least number which when divided by 16, 18, 20 and 25 leaves a remainder 4 in each case, but when divided by 7 leaves no remainder.
Find the least number which when divided by 16, 18, 20 and 25 leaves a remainder 4 in each case, but when divided by 7 leaves no remainder.
Show Hint
If remainder is same, subtract remainder before finding LCM.
Updated On: Apr 7, 2026
- 17004
- 18000
- 18002
- 18004
- 16000
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Required number − 4 is divisible by:
\[
16, 18, 20, 25
\]
LCM:
\[
LCM = 7200
\]
Number = \(7200k + 4\)
Also divisible by
7. Testing values gives:
\[
18004
\]
Was this answer helpful?
0
0
Top MAH MBA CET Quantitative Aptitude Questions
- Determine : What is the ratio of diesel cars in State 4 to electric cars in State 3 ?
If 45% of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the total number of non-AC cars ?
- Determine who is the Plumber ?
- What is the favourite colour of the Lawyer ?
- Who cleans his home on Saturday ?
View More Questions
Top MAH MBA CET Multiples and Factors Questions
- 17 × 17 × 18 × 18 × 19 × 19 shall be fully divisible by which of the following number?
- How many even integers 'n', where, $100\le n\le200$ are divisible neither by 7 nor by 9?
- The least common multiple of a number and 990 is 6930. The greatest common divisor of that number and 550 is 110. What is the sum of the digits of the least possible value of that number ?
- If a seven-digit number 876p37q is divisible by 225, then the values of p and q respectively are:
- Find the lowest of all the given numbers which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder?
View More Questions
Top MAH MBA CET Questions
If in a special coded language : BOOK is written as 8 ; TABLE is written as 7 ; & BOTTLE is written as 1 ; Then, how would COMPUTER be written in that language ?
- Determine : What is the ratio of diesel cars in State 4 to electric cars in State 3 ?
If 45% of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the total number of non-AC cars ?
- Which of the following is a correct arrangement in the given scenario ?
- Determine who is the Plumber ?
View More Questions