MyQuestionIcon

1

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

Letters for Digits

A three digit...

Question

A three digit number is 297 more than its reversed number. How many such numbers are possible?

A

60

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

B

27

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

C

6

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

D

36

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

Open in App

Solution

The correct option is A
60

(100a + 10b + c) - (100c + 10b + a) = 297

Thus, 99(a - c) = 297 ⇒ a - c = 3
From 1 to 9, there are 6 pairs which have the difference of 3.

For each such pair, 10 three digit numbers can be formed.

Hence, 60 such three digit numbers exist

Suggest Corrections

thumbs-up

0

Similar questions

Q. A two-digit number has tens digit greater than the unit's digit. If the sum of its digits is equal to twice the difference, how many such numbers are possible?

Q. Question 69

If from a two-digit number, we subtract the number formed by reversing its digits then the result so obtained is a perfect cube. How many such numbers are possible? Write all of them.

Q. When a number

x

is multiplied with another number which is

3

more than the square of

x

, the result is

216

more than three times of

x

. How many such numbers are possible?

Q. 135 is a natural number whose "digit product" is

1 \times 3 \times 5 = 15

. How many such three digit numbers are possible with digit product 24?

Q. how many three digit numbers are possible with non repeating digit

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Puzzles with Digits

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Letters for Digits

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon