Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

If 2 kg of sugar contains 9× 10 6   crystals, then find the sugar crystal contained by 6 kg of sugar.
 


see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

2.25× 10 5  

b

2.70× 10 6  

c

2.70× 10 7  

d

2.25× 10 8   

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

Given that,
2 kg of sugar contains 9× 10 6   crystals.
We have to find the number of sugar crystals containing 6 kg of sugar.
We know that if two quantities x   and y   vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e. x y =k,   where k is a constant positive number.
Here, if the amount of sugar increases, then the number of sugar crystals also increases.
So, it is a case of direct proportion.
So, we can arrange a table as given below:

Amount of sugar(kg)

x 1 =2  

     x 2 =6  

Number of sugar crystals

y 1 =9× 10 6  

y 2 =  ?

Using the relation of direct proportion x 1 y 1 = x 2 y 2  , we get,
x 1 y 1 = x 2 y 2          ⇒ y 2 = y 1 x 2 x 1  
⇒ y 2 = 9× 10 6 ×6 2  
∴ y 2 =2.70× 10 6    Therefore, the sugar crystal contained by 6 kg of sugar is 2.70× 10 6  .
Hence, option 2 is correct.
 
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

Ready to Test Your Skills?

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

Take Free Test

score_test_img

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
whats app icon