What should come at the place of question mark? : 625, 125, 25, 5, ?, ?
- (a)1, 1
- (b)2, 1
- (c)1, 0.2
- (d)0.5, 0.1
Answer
Why
Correct — C.
Rule: divide by 5 at every step.
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
First blank: 5 ÷ 5 = 1
Second blank: 1 ÷ 5 = 0.2 → option (c).
Why the others are wrong
- (a)1, 1 — 1, 1 gets the first blank right but then stops dividing. The rule does not end at 1: 1 ÷ 5 is 0.2.
- (b)2, 1 — 2, 1 breaks the rule at once, since 5 ÷ 5 is 1, not 2. The step 2 → 1 then halves, which the series never does.
- (d)0.5, 0.1 — 0.5, 0.1 opens with 5 ÷ 10. The divisor is fixed at 5, so the first blank is 5 ÷ 5 = 1, and 0.5 never appears.
Concept
This is a geometric series: each term is the one before multiplied by the same ratio, here 1⁄5.
Written as powers, the terms are 5⁴, 5³, 5², 5¹, so the blanks are 5⁰ = 1 and 5⁻¹ = 0.2.
If you expect whole numbers, 1 looks like the end of the line. It is not: dividing by 5 carries on into decimals.
Key facts
- 625 = 5⁴, 125 = 5³, 25 = 5², 5 = 5¹.
- 5⁰ = 1 and 5⁻¹ = 1⁄5 = 0.2.
- A constant ratio between terms makes a geometric series.
Study next
Common traps
- Treating 1 as the end of the series and repeating it
- Switching to ÷ 10 once the terms get small, which gives 0.5, 0.1
26 Sep 2025, 12:30, Reasoning Q.15 prints the start of this same series, 625, 125, 25, ___, keyed 5. This question pushes two steps further, past 1 into a decimal.
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