Question
Before sleeping, (A)/you should make sure (B)/that you
have locked all doors, (C)/preventing theft (D). Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence. Mark the part with the error as your answer.Solution
Here, ‘preventing’ is incorrect. Instead, ‘to prevent’ should be used. Before sleeping, you should make sure that you have locked all doors, to prevent theft.
I. 6x² - 23x + 7 = 0
II. 6y² - 29y + 9 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 6x² - 24x + 18 = 0
Equation 2: 5y² - 20y + 15 = 0
I. 4x² - 21 x + 20 = 0
II. 8y² - 22 y + 15 = 0
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
If x and y satisfy x² + y² = 25 and x + y = 7, find xy.
I. x2 – 3(x + 5) = -11
II. y2 – 4(y + 2) = -2y
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...
The nth term of a sequence is n² + 3n + 1. Find the difference between the 20th and 10th terms.