If a square of a number ends with 5, then its cube ends with 25
(A). Ture
(B). False
(C). Ambiguous
(D). Data insufficient

Question

If a square of a number ends with 5, then its cube ends with 25(A). Ture(B). False(C). Ambiguous(D). Data insufficient

Vedantu Content Team · Accepted Answer

Hint: Best way to approach here is take an example or two and try calculating their cubes to see if the statement is true or false.Complete step-by-step answer: According to the given information it is given that number that ends with 5 also the cube of that number ends with 25Let’s discuss about the concept of square and cubic operation as we know that according to the square operation gives the output of the multiple of input by itself i.e. square of a is given by $a 	imes a$whereas in the cubic operation gives the output of the multiple of the input by itself three times i.e. cube of b is given by $b 	imes b 	imes b$Since it is given that square of a number ends with 5 also the cube of the same number ends with 25 So, let’s suppose the number is 5As we know that square of number 5 is given by $5 	imes 5 = 25$So, let’s check the cube of 5 which is given by $5 	imes 5 	imes 5 = 125$Here the number 5 satisfies the statementTo check that whether the statement applies for every number Let’s 15 be the number As we know that square of number 15 is given by $15 	imes 15 = 225$So, let’s check the cube of 15 which is given by $15 	imes 15 	imes 15 = 3375$Since the square of 15 ends with 25 whereas the cube of 15 ends with 75So, here the number 15 doesn’t satisfy the statementTherefore, the given statement if falseHence, option B is the correct option.Note:In the above solution we used the term “operation” which can be explained as a method which includes an operand and an operator such as addition operation, subtraction option and division operation as in the above solution we used the square and cubic operation. The square and cubic operations are unary operations which require only one operand whereas the operations which require more than one operand are called binary operations.

If a square of a number ends with 5, then its cube ends with 25
(A). Ture
(B). False
(C). Ambiguous
(D). Data insufficient

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If a square of a number ends with 5, then its cube ends with 25(A). Ture(B). False(C). Ambiguous(D). Data insufficient

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NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links

If a square of a number ends with 5, then its cube ends with 25
(A). Ture
(B). False
(C). Ambiguous
(D). Data insufficient