State whether the given statement is true or false:

There is no perfect cube that ends in 4

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

True

False

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The given statement is false
Concept-
If we obtain at least one number whose cube ends in 4, the answer to this question is false; else, the answer is true. Using the hit-and-miss approach, we can verify this. Here the answer is wrong if the die gets at least one number ending in 4. If not, the answer is true. This can be confirmed using the hit-and-trial method.
A perfect dice is a number equal to itself multiplied by three.
If you get at least one number of dice ending in 4, you'll find that the data that there is no such thing as a complete dice ending in 4 is incorrect.
Ex:

ends with 4
There is a perfect cube that ends in 4.
Hence, the given statement is false.

Watch 3-min video & get full concept clarity