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In a five-digit number, hundreds digit is 2, units digit is twice of hundreds digit, thousands digit is 0. If product of digits is 240, find the number.

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पाँच अंकों वाली संख्या में सैकड़े का अंक 2 है, इकाई का अंक सैकड़े के अंक से दोगुना है, हजार का अंक 0 है। यदि अंकों का गुणनफल 240 है, तो संख्या ज्ञात कीजिए।
In a five-digit number, hundreds digit is 2, units digit is twice of hundreds digit, thousands digit is 0. If product of digits is 240, find the number.

Options / विकल्प:

(a) 60234
(b) 60224
(c) 60254
(d) 60264


Solution / समाधान

Hundreds digit = 2
Units digit = 2 × 2 = 4
Thousands digit = 0

So number form is:

_ 0 2 _ 4

Now check options:

(a) 60234 → digits excluding 0: 6 × 2 × 3 × 4 = 144
(b) 60224 → 6 × 2 × 2 × 4 = 96
(c) 60254 → 6 × 2 × 5 × 4 = 240 ✅
(d) 60264 → 6 × 2 × 6 × 4 = 288


Answer / उत्तर

(c) 60254

Note: If 0 is included in multiplication, product becomes 0. So here product is taken for non-zero digits.


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