Question
The sum of the total surface areas of two cubes is 1548
cm2. If the product of the length of their edges is 97 cm2, then find the difference (in cm) between the lengths of their edges.Solution
Let the length of the edges of the two cubes be ‘a’ cm and ‘b’ cm, respectively According to the question, 6a2 + 6b2 = 1548 Or, a2 + b2 = 1548/6 = 258 And, ab = 97 Using the formula, x2 + y2 = (x – y)2 + 2xy 258 = (a – b)2 + 2 × 97 Or, (a – b)2 = 258 – 194 Or, (a – b)2 = 64 Or, a – b = ±8 So desired difference = 8 cm
Select the option which correctly converts the given sentence into direct speech.
I asked him if it had never occurred to him that even the meane...
Ramesh asked me to bring him a glass of water.
Select the correct indirect form of the given sentence.
She said, “Is anyone there in the house?”
The coach said, ‘I have come to guide you.’
Select the most appropriate direct form of the given sentence.
She asked me affectionately what she could do for me.
Select the correct indirect form of the given sentence.
She said, “I am in no mood to work now.”
You must understand clearly that this is the last time I shall allow it.
The jeweller said to us, "These diamonds are polished here."
He added that he was sure that whatever differences (2)/existed between two parties (3) /will be resolved through dialogue. (4) /No error (5).
He said that he ____________ the cycle to the repair shop the previous day.
Relevant for Exams:
