How many zeroes will be there at the end of 25 - 35 - 40 - 50 - 60 - 65 -

The correct option is A 625 × 35 × 40 × 50 × 60 × 65 = (5)^2 × (5 × 7) × (5 × 8) × (5^2 × 2) × (5 × 12) × (5 × 13) = 5^8 × 2^6 × 3 × 7 × 13. There are eight 5 ...

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Quantitative Aptitude

Number of Zeroes in a Number

How many zero...

Question

How many zeroes will be there at the end of $25 \times 35 \times 40 \times 50 \times 60 \times 65 ?$

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Solution

The correct option is A 6
$25 \times 35 \times 40 \times 50 \times 60 \times 65 = (5)^{2} \times (5 \times 7) \times (5 \times 8) \times (5^{2} \times 2) \times (5 \times 12) \times (5 \times 13) = 5^{8} \times 2^{6} \times 3 \times 7 \times 13.$
There are eight 5s and six 2s.
Number of zeroes = number of sets of 2 and 5 = minimum of number of 2s and number of 5s) = 6

Suggest Corrections

Age	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$	$50 - 55$	$55 - 60$	$60 - 65$	$65 - 70$
Cf	$21$	$40$	$90$	$130$	$146$	$166$	$176$	$186$	$195$	$199$

Marks	20−25	25−30	30−35	35−40	40−45	45−50	50−55	55−60	60−65	65−70
Students	6	3	7	4	6	4	2	8	3	7

How many zeroes will be there at the end of 25×35×40×50×60×65?

The correct option is A 625×35×40×50×60×65=(5)2×(5×7)×(5×8)×(52×2)×(5×12)×(5×13)=58×26×3×7×13. There are eight 5s and six 2s. Number of zeroes = number of sets of 2 and 5 = minimum of number of 2s and number of 5s) = 6

How many zeroes will be there at the end of $25 \times 35 \times 40 \times 50 \times 60 \times 65 ?$