CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Euclid's Division Algorithm

Which of the ...

Question

Which of the following numbers will completely divide 2^61+2^62+2^63+2^64?

a) 100
b) 10
c) 27
d) 17

Open in App

Solution

given that :

(2⁶¹ + 2⁶² + 2⁶³ + 2⁶⁴)

= 2⁶¹ x (1 + 2 + 2² + 2³) = 2⁶¹ x 15

= 2⁶⁰ x (2 x 15)

= (2⁶⁰ x 30), which is divisible by 10.

Suggest Corrections

thumbs-up

3

Similar questions

Q. Which of the following numbers will completely divide

(4^{61} + 4^{62} + 4^{63} + 4^{64})

?

Q. The following number are given-

61, 62, 63, 61, 63, 64, 64

60, 65, 63, 64, 65, 66, 64

The difference between their arithmetic mean and median will be:

Q. The following numbers are given as

61, 62, 63, 61, 63, 64, 64, 60, 65, 63, 64, 65, 66, 64

. The difference between their mean and median is

Q. Find the mode of the following distribution

Height (in inches)	$60$	$61$	$62$	$63$	$64$	$65$	$66$
Number of children	$0$	$10$	$6$	$4$	$18$	$10$	$2$

Q. Given that 1 + 2 + 3 + 4 + 5 + 6 = 21, the sum of 61 + 62 + 63 + 64 + 65 + 66 is .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Euclid's Division Algorithm_Tackle

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Euclid's Division Algorithm

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon