AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Q.

If the number 357y25x is divisible by both 3 and 5 then find the missing digit in the unit’s place and the thousand place respectively are

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

a

0,6

b

5,6

c

5,4

d

None of these

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Concept- By looking at the options available, one can say that given no. is divisible by 5 and 3 both. So, applying divisibility rules of 5 and 3 in the given no. will yield a real answer.
Divisibility rule of 5 says that unit digit place shall have 0 or 5.
Divisibility rule of 3 says that the sum of all digits must be a multiple of 3.
Let’s apply these rules in the given no. 357y25x
For it to divisible by 5,

x = 0 or x = 5

Now we have two options for this assumption. We will now apply the divisibility rule of 3 on filtered options.
Trial 1 : For 357y250 to be divisible by 3,
Sum of digits,

3 + 5 + 7 + y + 2 + 5 + 0 = 22 + y

For this to be divisible by 3,

0 \leq y \leq 9

y = 2 or 5 or 8

Possible combinations of (x,y):

(0, 2); (0, 5); (0, 8)

Trial 2: For 357y255 to be divisible by 3,
Sum of digits,

3 + 5 + 7 + y + 2 + 5 + 5 = 27 + y

For this to be divisible by 3,

0 \leq y \leq 9

y = 0 or 3 or 6 or 9

Possible combinations of (x,y):

(5, 0); (5, 3); (5, 6); (5, 9)

Therefore, from all possible combinations we can conclude that (0,6) is correct.
Hence,. the correct option is (2).

Watch 3-min video & get full concept clarity

courses

No courses found

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

best study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

gplay

mentor

Download the App

gplay

personalised 1:1 online tutoring