Question
Diligence A. His success was largely due to his
diligence . B. A fire breaks out suddenly in the house of the Empress, due to diligence of one of her maids. C. He was found guilty of contributory diligence . Below, a word is given followed by three sentences which consist of that word. Identify the sentence/s which best expresses the meaning of the word. Choose option 5 (None of these) if the word is not suitable in any of these sentences.Solution
The word ‘diligence’ means ‘the quality of working carefully and with a lot of effort’. In A, the word is used appropriately, but not in B and C.
I. 14p2 – 135p + 81 = 0
II. 7q2 – 65q + 18 = 0
I. x3 = 1728
II. y2 – 15y + 56 = 0
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
Equation 1: x² - 250x + 15625 = 0
Equation 2: y² - 240y + 14400 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
I. 3p² + 13p + 14 = 0
II. 8q² + 26q + 21 = 0
I. x ² + 5 x + 6 = 0                Â
II. y²+ 7 y + 12= 0
...Roots of the quadratic equation 2x2 + x – 528 = 0 is
l. x2 - 16x + 64 = 0
II. y2Â = 64
If x + 1/x = 3, find x² + 1/x².