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6th Class Mathematics Algebra Question Bank Algebra

  • question_answer
    Read the statements given below carefully and choose the correct answer. (i) If \[a=-2\] and b = 5 then out of \[2a+3b,\,2b-a,\,a-b\] and \[{{a}^{2}}-{{b}^{2}}\] only \[{{a}^{2}}-{{b}^{2}}\] has the least value. (ii) Anshi celebrated her 16th birthday x year ago. She would be \[(16+x+z)\] years old in z year time.

    A)  (i) is true while (ii) is false.

    B)  (i) is false while (ii) is true.

    C)  (i) and (ii), both are true.

    D)  (i) and (ii), both are false.

    Correct Answer: C

    Solution :

     Statement (i): \[2a+3b=2\,(-2)\,+3(5)\] \[=-4+15\] = 11 \[2b-a=2\times 5-(-2)\] \[=10+2\] \[=12\] \[a-b=-2-5\] \[=-7\] and \[{{a}^{2}}-{{b}^{2}}\,={{(-2)}^{2}}-{{(5)}^{2}}\] \[=4-25\] \[=-21\] \[{{a}^{2}}-{{b}^{2}}=-21\] is least value. Statement (ii): Anshi?s present age (16 + x) years After Z years, Anshi will be \[16+x+z\] years old.


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