Question : If $\small 1^{2}+2^{2}+3^{2}+......+\ p^{2}=\frac{p(p+1)(2p+1)}{6}$, then $\small 1^{2}+3^{2}+5^{2}+......+17^{2}$ is equal to:

Option 1: 1785

Option 2: 1700

Option 3: 980

Option 4: 969

Question : Directions: Which of the following interchange of numbers (not digits) would make the given equation correct?
16 × 5 ÷ 20 + 6 + 50 = 40

Option 1: 40, 50

Option 2: 6, 40

Option 3: 20, 40

Option 4: 5, 40

Question : If a³ + b³ = 217 and a + b = 7, then the value of ab is:

Option 1: – 6

Option 2: – 1

Option 3: 7

Option 4: 6

Question : If $x^4+y^4=x^2 y^2$, then the value of $x^6+y^6$ is:

Option 1: 2

Option 2: 0

Option 3: 1

Option 4: 3

Question : If $x:y::2:3$ and $2:x::4:8$, then the value of $y$ is:

Option 1: 6

Option 2: 8

Option 3: 4

Option 4: 12