CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

1,024 trees are planted in a farm such that the number of rows is equal to the number of columns. If one row and one column of trees are removed, then find the number of trees that were removed.


A

61

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

63

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

65

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

67

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

63


Number of trees = 1024.

Since number of rows = number of columns, the trees form a perfect square.

Therefore number of rows/columns = square root of 1024 (number of trees).
1024= 2×2×2×2×2×2×2×2×2×2=32

Therefore, the initial number of rows/columns = 32.

After removing 1 row and one column, number of rows/columns = 32-1 = 31.
Remaining trees = 312.
Therefore, number of trees removed = 322312 = (32+31) (32-31) = 63 × 1 = 63.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Square root of a number
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon