Math Jeopardy 2nd round

Logical reasoning

600

Look at this series 7,10,8,11,9,12, ? what number should come next?

10

800

If the sum of the smallest and the largest of 3 consecutive even numbers is 28, what is the value of the second largest number in the series

14

1000

Raj can do the work in 14 days but if Raj is working with Ritesh both can complete the same work in 10 days. But how many days will Ritesh take to complete the work alone?

35

Calculus

600

Find dy/dx in 2x+3y=sin(x)

(cosx-2)/3

800

Integrate e^2x-e^-2x/e^2x+e^-2x

1/2 log(e^2x+e^-2x)+C

1000

Integrate (x+1)(x+logx)²/x

1/3 (x+log x)³+C

Lottery questions

600

Find the median of 12, 14, 18, 20,25

18

800

Mean of 10,12,18,13,x,17 is 15. find the value of x

20

1000

(2*33/9)-2*(6+8)/7

2