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

Directions: Given below is a series. Analyse the pattern of the series and answer the question that follows. Series: 9, 45, 48, 240, 243, 1215 The first term of a new series following the same pattern is 6. What would be the 5th term of the new series?

  1. 165

  2. 840

  3. 843

  4. 168

  5. 33
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Pattern: 9 * 5 = 45, 45 + 3 = 48, 48 * 5 = 240, 240 + 3 = 243, 243 * 5 = 1215. The pattern is *5, +3. New series starting with 6: 6 * 5 = 30, 30 + 3 = 33, 33 * 5 = 165, 165 + 3 = 168. The 5th term is 168.

Multiple choice

Directions: Given below is a series. Analyse the pattern of the series and answer the the question that follows. 15, 64, 185, 354, 643, x If 25% of x is the first term of a new series following the same pattern as the given one, then what is the third term of the new series?

  1. 396

  2. 412

  3. 421

  4. 690

  5. 386
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Series: 15, 64, 185, 354, 643. Differences: 49, 121, 169, 289. These are squares of 7, 11, 13, 17 (primes). Next difference is 19^2 = 361. x = 643 + 361 = 1004. 25% of x = 251. New series: 251, 300, 421 (following same prime-square differences: 49, 121).