What is the highest power of 5 that divides 90 - 80- 70 - 60 - 50 - 40 - 30 - 20 - 10-

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Question

What is the highest power of $5$ that divides $90 \times 80 \times 70 \times 60 \times 50 \times 40 \times 30 \times 20 \times 10$ ?

10

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Solution

The correct option is A $10$
All the numbers that are multiplied have 0 as units' digit so all of
them are divisible by 5 once Also 50 can be divided by $5^{2}$ So the highest power of 5 that divides the given product $= (9 + 1) = 10$

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Similar questions

Q. Draw a frequency polygon for the following data without using histogram.

Class interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Frequency	$4$	$6$	$8$	$10$	$12$	$14$	$7$	$5$

Q. Draw a frequency polygon imposed on the histogram for the following distribution.

Class interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Frequency	$4$	$6$	$8$	$10$	$12$	$14$	$7$	$5$

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

Construct a frequency distribution table.

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80,

90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

How many students obtained marks below

40

The marks obtained by $40$ students of a class are given below :
$80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70,$
$10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,$ $50, 80,$
$60, 70, 40, 50, 60, 90, 60, 40, 40, 60$ , and $60$

How many numbers are less than

35

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What is the highest power of 5 that divides 90×80×70×60×50×40×30×20×10?

The correct option is A 10All the numbers that are multiplied have 0 as units' digit so all of them are divisible by 5 once Also 50 can be divided by 52 So the highest power of 5 that divides the given product =(9+1)=10

What is the highest power of $5$ that divides $90 \times 80 \times 70 \times 60 \times 50 \times 40 \times 30 \times 20 \times 10$ ?

The correct option is A $10$
All the numbers that are multiplied have 0 as units' digit so all of
them are divisible by 5 once Also 50 can be divided by $5^{2}$ So the highest power of 5 that divides the given product $= (9 + 1) = 10$