Practice30Create account

Some three-digit numbers have digits that increase by exactly 2 from left to right, such as 135 (1, 3, 5) and 246 (2, 4, 6).
Each digit is 2 more than the digit before it.
How many such three-digit numbers are there?

Class 6Patterns and RulesAlgebra
  • A4
  • B5
  • C6
  • D7

Step-by-Step Solution

If the first digit is a, the digits are a, a+2, a+4. The last digit a+4 must be no more than 9, so a no more than 5, and a at least 1. So a = 1,2,3,4,5 giving 135, 246, 357, 468, 579 - that is 5 numbers.
Answer: B) 5

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Patterns and Rules practice questions

More Class 6 Patterns and Rules practice

Study this pattern of sums: 1 = 1 1 + 2 + 1 = 4 1 + 2 + 3 + 2 + 1 = 9 1 + 2 + 3 + 4 + 3…What is the next number in the pattern 5, 10, 15, 20, ...?Which is the rule for the pattern 5, 8, 11, 14, ... where position 1 gives 5?Which number does NOT belong in the pattern 3, 6, 9, 13, 15?Anil builds a fence using square panels in a row. The first square needs 4 sticks, and…