Question : Water has maximum density at

Option 1: 100^oC

Option 2: 0^oC

Option 3: 4^oC

Option 4: 273^oC

Question : If a + b + c = 0, then the value of (a + b – c)² + ( b + c – a)² + ( c + a – b)² is:

Option 1: 0

Option 2: 8abc

Option 3: 4(a² + b² + c²)

Option 4: 4(ab + bc + ca)

Question : The average age of 14 friends is 14 years. If the age of $15^{\text {th }}$ friend is added, then the average remains the same. What is the age of the $15^{\text {th }}$ friend?

Option 1: 15 years

Option 2: 18 years

Option 3: 14 years

Option 4: 12 years

Question : If a + b + c = 15 and a² + b² + c² = 83 then the value of a³ + b³ + c³ – 3abc:

Option 1: 200

Option 2: 180

Option 3: 190

Option 4: 210

Question : Which element of group 13 has the atomic number 113, and its electronic configuration is [Rn] 5f¹⁴ 6d¹⁰7s² 7p¹?

Option 1: Gallium

Option 2: Indium

Option 3: Nihonium

Option 4: Thallium