Book Online Demo

Check Your IQ

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 length, breadth and height of a room are $1050 cm, 750 cm$ and $425 cm$ respectively. Then the length of the longest tape which can measure the three dimensions of the room exactly is ____cm.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

If the length, breadth and height of a room are 1050cm, 750cm and 425cm respectively. Then the length of the longest tape which can measure the three dimensions of the room exactly is 25cm.
Given data,
Length = 1050cm
Breadth = 750cm
Height = 425cm
Calculating the prime factors of 1050, 750, and 425,

1050 = 1 × 2 × 3 × 5 × 5 × 7 = 21 × 31 × 52 × 71

750 = 1 × 2 × 3 × 5 × 5 × 5 = 21 × 31 × 53

425 = 1 \times 5 \times 5 \times 17 = 17^{1} \times 5^{2}

The HCF of 1050, 750, and 425,

\Rightarrow 5^{2} = 25

Therefore, the correct answer is 25cm.

Watch 3-min video & get full concept clarity

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 Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

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

Not sure what to do in the future? Don’t worry! We have a FREE career guidance session just for you!