Question
The LCM of six consecutive numbers is 420. The
sum of the first and fourth numbers is equal to the sixth number. What is the product of six numbers?Solution
Therefore, 420 = 2 × 2 × × 3 × 5 × 7 i.e, numbers are 2, 3, 4, 5, 6 and 7 Therefore, products is = 2 × 3 × 4 × 5 × 6 × 7 = 5040 Alternate method: Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 Given that Sum of the first and fourth numbers is equal to the sixth number so, x + x + 3 = x + 5 x = 2 numbers are 2, 3, 4, 5, 6 and 7 Therefore, products is = 2 × 3 × 4 × 5 × 6 × 7 = 5040
12 7 10 25 107 ?
...12 23 65 ? 1239 7409
...15Â Â Â Â Â Â Â Â Â Â Â Â 13 Â Â Â Â Â Â Â Â 28 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 24 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 54 Â Â Â Â Â Â Â Â 52
...6   55   91   116   132    ?  . Â
5468, 2734, 1367, 683.5, 341.75, ?
620 632 608 644 596 ?
...64   66   70   73   ?   86
If  8      x     6.5    12.25     22.125     36.0625
Then, 20% of 25% of x = ?
...24  12  18  ?  157.5  708.75  3,898.125
1, 27, ?, 343, 729, 1331
Relevant for Exams:
