13, 32, 24, 43, 35, (...), 46, 65, 57, 76

Answer: Option D

Explanation:

Given sequence is combination of two series
Series 1 : 1,3,6,10,..
Series 2 : 1,9,36,100,225

In series 1 pattern is +2, +3, +4. So next term will be
10+5 = 15

Answer: Option A

Explanation:

Pattern of the above series is
first + second + 2, second + third + 3, third + fourth + 4......
So next term will be
24 + 41 + 5 = 70

Answer: Option A

Explanation:

Pattern is +5, +7, +9, +11
So next number will be +13
=> 33+13 = 46

Answer: Option A

Explanation:

Pattern in the series is *2+1, *2+2, *2+3,.....

Term which replaces the question mark in the series is
121 * 2 + 6 = 248

Answer: Option B

Explanation:

Pattern is, +4, +8, +16, +32, so next will be +64
81+64 = 145