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

Q.

The value of A is: -


   A A A


+ B B B


+ C C C


B A A C


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

9

b

7

c

6

d

1 

answer is A.

(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

Use the properties of place values of a digit in a number to add the unit digits, tens, and hundred digits separately. Consider the case of the carry process in the given sum and form three linear equations in A, B and C. Solve these equations for the value of A to get the answer.
We can see that at the units place we have a sum of digits A, B and C whose resultant is C. Since, none of the digits can be 0 so this sum is only possible if we have a carry.
Therefore, we have,
⇒A + B + C = C + 10
This is because the unit digits add up to form a ten in the case of carry. So, we have,
⇒ A + B = 10 – (1)
Now, this ten will add up with tens of place digits and form a hundred in the case of carry. So, considering tens place digits, we have,
⇒10A + 10B + 10C + 10 = 10A + 100
⇒10B + 10C + 10 = 100
⇒B + C + 1 = 10
⇒B + C = 9 – (2)
Finally, this hundred will add up with hundred place digits and form a thousand in the case of carry. So, considering hundred place digits, we have,
⇒100A + 100B + 100C + 100 = 100A + 1000B
⇒100B + 100C + 100 = 1000B
⇒B + C + 1 = 10B
⇒9B = C + 1 – (3)
Now, we have three variables A, B, and C, and three equations, so solving these equations for the value of A, we get,
⇒A = 9
Hence, option (1) is the correct answer.
 
Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

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 Books for IIT JEE
Best Books for NEET
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 Books for IIT JEE
Best Books for NEET
whats app icon