← Quantitative Aptitude

Algebra/Simplification — Questions with Solutions

1 solved Algebra/Simplification questions from Quantitative Aptitude, as asked in SSC CGL and other SSC exams. Read the answer and explanation below, then practise the full set in the practice section.

Practise this topic

Q1. Which of the following can be the value of k, if (88 ÷ 8 x k - 3 x 3) / (6² - 7 x 5 + k²) = 1?

  1. A. 1, 10
  2. B. 4, 7
  3. C. 3, 10
  4. D. 2, 7

Solution

(11k - 9) / (36 - 35 + k²) = 1 => 11k - 9 = 1 + k² => k² - 11k + 10 = 0. Solving gives k=1 or k=10. Ah, wait. If k=4, 44-9=35, 1+16=17. Let me re-verify. 88÷8=11. 11k - 9 = 1+k² => k²-11k+10=0. The roots are 1, 10.