MyQuestionIcon

1

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

nCr Definitions and Properties

If 540 is div...

Question

If $5^{40}$ is divided by 11 then the remainder is

A

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
1

$5^{40}$ = $625^{10}$ = $(56 \times 11 + 9)^{10}$

= multiple of 11 + $9^{10}$

Now = $9^{10} = (11 - 2)^{10}$ = multiple of $11 + 2^{10}$

$2^{10}$ = 1024 = 93 × 11 + 1

Suggest Corrections

thumbs-up

5

Similar questions

5^{40}

11,

then remainder is

α

2^{2003}

17,

then remainder is

β .

Then the value of

(β - α)

Q. A positive integer m when divided by 11 gives remainder 6. If 4m + 5 is divided by 11, the remainder is _________.

Q. ____ is the remainder if

92539139

11

.

Q. When a number is divided by

13

, the remainder is

11

. When the same number is divided by

17

, then remainder is

9

. What is the number?

Q. Question 11
If

x^{51} + 51

is divided by x + 1, then the remainder is

A) 0
B) 1
C) 49
D) 50

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

nCr Definitions and Properties

Standard XI Mathematics

Join BYJU'S Learning Program

CrossIcon