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

If X is the nth term of the given series and 'Y' is the (n + 1)th term of the given series, choose the correct statement from the following options (i), (ii), and (iii). Given series: 763, 379, 187, 91, 43, 19, 7 (i) X = 2Y + 5 (ii) Y = 3X - 6 (iii) The difference between the 1st and 2nd term is twice the difference between the 2nd and 3rd term and so on.

  1. Only (i) and (iii)

  2. Only (i)

  3. Only (ii) and (iii)

  4. All (i), (ii) and (iii)

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Series: 763, 379, 187, 91, 43, 19, 7. Pattern: X = 2Y + 5 (e.g., 763 = 2*379 + 5). (iii) Difference 1: 763-379=384. Diff 2: 379-187=192. 384 = 2*192. This holds. (ii) Y = 3X - 6 is incorrect (e.g., 379 != 3*763 - 6).

Multiple choice

Series: 8, 29, 92, 281, 848, 2549 If P is the nth term of the given series and 'Q' is the (n + 1)th term of the given series, choose the correct statement from the following options (i), (ii), and (iii). (i) P = 3Q + 5 (ii) Q = 3P + 5 (iii) The difference between the 1st and 2nd term is one third of the difference between the 2nd and 3rd term and so on.

  1. Only (i) and (iii)

  2. Only (ii)

  3. Only (ii) and (iii)

  4. Only (iii)

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Series: 8, 29, 92, 281, 848, 2549. Check (ii): 3(8)+5 = 29, 3(29)+5 = 92, 3(92)+5 = 281. This holds. Check (iii): 29-8=21, 92-29=63. 21 is 1/3 of 63. This holds.

Multiple choice

Given the following series, determine which one does not follow the pattern "Each term is double the previous term plus one." A: 3, 7, 15, 31, 63, 127 B: 5, 13, 29, 61, 125 C: 1, 3, 7, 15, 31, 63 Which of the following series does not follow the given pattern?

  1. Only A

  2. Only B

  3. Both A and B

  4. Both B and C

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Pattern: x(n+1) = 2*x(n) + 1. Series A: 3*2+1=7, 7*2+1=15, 15*2+1=31, 31*2+1=63, 63*2+1=127 (Follows). Series B: 5*2+1=11 (not 13). Series C: 1*2+1=3, 3*2+1=7, 7*2+1=15, 15*2+1=31, 31*2+1=63 (Follows). Only B fails.