If the volume of a cube is 512 cm³, then the measure of the main diagonal of the cube will be:
7\(\sqrt{3}\) cm
14\(\sqrt{3}\) cm
17\(\sqrt{3}\) cm
8\(\sqrt{3}\) cm
If x − \( \frac{1}{x} \) = 6, then the value of x³ − \( \frac{1}{x^3} \) is:
Refer to the following letter and number series and answer the question.
(Left) G C T 7 D 4 6 K 2 R Y 3 5 E S A 4 T Y 7 8 G T (Right)
How many such letters are there in the series which are immediately preceded by a letter and also immediately followed by a number?
Each of Prem, Amit, Ram, Sudheer, Tejas, Uma and Vivek has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. Prem has the exam on Thursday. Only one person has the exam between Prem and Uma. Ram has the exam on the day immediately before Uma but not on a Monday. Only two people have exams between Ram and Tejas. Vivek’s exam is on one of the days before Sudheer and on one of the days after Amit. Who among the following has the exam on Monday?