Quantitative Aptitude

Number Series

2,662 Questions
All First differences and arithmetic progressions 812 Successive multiplication or division 429 Step-wise calculations 349 Squares and cubes based 338 Separate alternate positions 241 Inter-term operations 144 Mixed-operation rules 138 Unconventional pattern solving 74 Fractional and decimal operations 60 Prime number based 54 Digit operations 23

Number Series Questions

Multiple choice

What will be the next term in the series? 0, 10, 6, 68, 20, ?

  1. 217

  2. 222

  3. 42

  4. 36

  5. 225
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series is 0, 10, 6, 68, 20, ?. The pattern is alternating: 0, 6, 20 (n^3 - n) for n=1, 2, 3 (1-1=0, 8-2=6, 27-3=24? No). Let's look at the other terms: 10, 68, ?. 10 = 2^3 + 2, 68 = 4^3 + 4. The next term should be 6^3 + 6 = 216 + 6 = 222.

Multiple choice

Find the next term of the given sequence. 12, 36, 80, 150, 252, ...

  1. 268

  2. 300

  3. 392

  4. 412

  5. 512
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Differences: 36-12=24, 80-36=44, 150-80=70, 252-150=102. Second differences: 44-24=20, 70-44=26, 102-70=32. The second differences increase by 6. Next second difference is 38. Next first difference is 102+38=140. Next term is 252+140=392.

Multiple choice

Find the wrong number in the given sequence. 3, 4, 13, 38, 87, 166, 289

  1. 38

  2. 13

  3. 87

  4. 166

  5. 4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Differences: 4-3=1, 13-4=9, 38-13=25, 87-38=49, 166-87=79, 289-166=123. The differences are squares: 1^2, 3^2, 5^2, 7^2. The next difference should be 9^2 = 81. 87 + 81 = 168. The next should be 11^2 = 121. 168 + 121 = 289. Thus, 166 is the wrong number.