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.

State true or false: ‘The number whose fifth part increased by 5 is equal to its fourth part diminished by 5, is 200’.

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

True

b

False

answer is A.

(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

detailed_solution_thumbnail

We are given a statement that a number whose fifth part increased by 5 is equal to its fourth part diminished by 5, is 200. We have to state if this statement is true or false.
So, assume the number to be x. Now, as per the condition, the fifth part of the number increased by 5 is equal to its fourth part diminished by 5.
This can be expressed mathematically as follows,

x 5 + 5 = x 4 − 5

Now, to solve for x, we will take the LCM of 5 and 4 i.e., 20 and multiply each side by 20 and simplify the equation as follows,

x 5 (20) + 5 (20) = x 4 (20) − 5 (20) 4 x + 100 = 5 x − 100

Next, we will subtract 5x from each side of the equation and simplify as follows,

4 x − 5 x = 5 x − 200 − 5 x

− x = − 200

− x − 1 = − 200 − 1

x = 200

So, the number is 200, which is the same as stated in the given statement.
Hence, the given statement is true.
So, the correct option is 1.

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