Placement Preparation Programme – Test 06

The pattern alternates between adding 3 and subtracting 2. 7+3=10, 10-2=8, 8+3=11, 11-2=9, 9+3=12. The next step is 12-2=10.

The differences between consecutive terms are consecutive odd numbers: +3, +5, +7, +9. The next difference should be +11. So, 27 + 11 = 38.

Each term is multiplied by an increasing integer: *2, *3, *4, *5. 1*2=2, 2*3=6, 6*4=24, 24*5=120. Next is 120*6 = 720. (These are also the factorials of 1, 2, 3, 4, 5, 6).

The pattern alternates between adding 4 and multiplying by 2. 10+4=14, 14*2=28, 28+4=32, 32*2=64, 64+4=68. Next is 68*2=136.

The pattern alternates between multiplying by 2 and adding 3. 5*2=10, 10+3=13, 13*2=26, 26+3=29, 29*2=58. The next step is 58+3=61.

The differences between consecutive terms are decreasing odd numbers: -21, -19, -17, -15. The next difference is -13. So, 48 – 13 = 35.

The series consists of squares of consecutive natural numbers: 1², 2², 3², 4², 5². The next term is 6² = 36.

The series represents cubes of consecutive numbers starting from 2: 2³, 3³, 4³, 5³. The next term is 6³ = 216.

The series follows a pattern of multiplying by 2. 2*2=4, 4*2=8, 8*2=16, so 16*2=32.

This is a simple series of consecutive prime numbers. The prime number immediately following 11 is 13.