Question
If two numbers add up to 12 and the sum of their cubes
is 1728, then what is the product of the two numbers?Solution
ATQ,
Let the two numbers be 'a' and 'b'. a + b = 12 a³ + b³ = 1728 We know that, (a + b)³ = a³ + b³ + 3ab × (a + b) Or, (12)³ = 1728 + 3ab × 12 Or, 1728 = 1728 + 36ab Or, 1728 = 1728 + 36ab So, 36ab = 0 ⇒ ab = 0 Hence, Product of the numbers = 0
In the following sentence four words are given in bold. They may or may not be in the correct position in the sentence. You have to find out which two...
Directions: Two sentences are given in the question below. Three words are emboldened in each of the sentences. Interchange the words to make meaningful...
In the question below, two sentences are given and each of them consists of two words highlighted in bold. The words may be incorrectly placed and need ...
- Direction: In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sentence i...
Such initiatives in the developing world (A)/and industrialisation in the early 1950s, (B)/it was possibly the most ambitious of (C)/ when India inaugur...
One of the officials addressed (A) that the hydraulic lift at the venue had before (B) some problems, but the Central Public Works Department had added ...
Which of the following phrases (I), (II), and (III) given below each sentence should replace the phrase printed in bold letters to make the sentence gra...
In the following questions, a sentence is given with four words highlighted in it. One of the highlighted words needs to be replaced with the word that ...
In each of the following questions, a sentence is given with four words given in bold. Which of the following words should replace each other to form a...
Direction: In the given question, four words are printed in bold and are numbered. Of these, the positions of two of these words may be incorrect and n...
