Question
I. x2 + 16x + 63 = 0 II. y2
+ 2y - 15 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer:Solution
I. x2 + 16x + 63 = 0 => x2 + 9x + 7x + 63 = 0 => x(x + 9) + 7(x + 9) = 0 => (x + 9) (x +7) = 0 => x = -9, -7 II. y2 + 2y - 15 = 0 => y2 + 5y – 3y - 15 = 0 => y(y + 5) – 3(y + 5) = 0 => (y + 5) (y - 3) = 0 => y = -5, 3 Hence, x < y.
Choose the option with the correct spelling.
- Choose the alternative which can replace the bold word without changing the meaning of the sentence.
His arduous journey through the mountains left... Fill in the blanks with the appropriate antonym of the word in Italic from the options given:
The results were favorable , whereas his previo...
- Choose the word that is most similar in meaning to the bold word.
The scientist's theory was abstruse , making it difficult for many to grasp.
... His actions were impulsive and not well thought out.
Choose the word opposite in meaning to the given word.
Prosperity
Select the most appropriate synonym of the given word.
Confusion
A) Subdue B) Loose C) Stimulate D) Careless
Select the most appropriate antonym of the given word.
Damage
A) Tantamount B) Natural C) Serious D) Equal