If α, β are the roots of the quadratic equation
2x² – 3x – 35 = 0,
then the value of α³ + β³ is:
\(\frac{757}{8}\)
\(\frac{657}{8}\)
\(\frac{857}{8}\)
\(\frac{957}{8}\)
ZR 18 is related to UW 11 in a certain way. In the same way, YM 24 is related to TR 17. To which of the following is KJ 35 related following the same logic?
Which of the following materials CANNOT be used to make a spherical lens?
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some bracelets are rings.
Some bangles are bracelets.
All watches are bracelets.
Conclusions:
I. Some rings are bracelets.
II. Some bracelets are watches.
Only conclusion II follows.
Neither conclusion I nor II follows.
Only conclusion I follows.
Both conclusions I and II follow.
Which state had fielded a 396-member contingent, the largest at Khelo India Youth Games 2021 and competed in every sport?
The area (in cm²) of an equilateral triangle of side 3 cm is:
\(\frac{\sqrt{243}}{6}\)
\(\frac{\sqrt{243}}{3}\)
\(\frac{\sqrt{243}}{4}\)
\(\frac{\sqrt{243}}{2}\)