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

Find the missing number in the series: 2, 10, 74, 290, 802, 1802, ____

  1. 3133

  2. 3530

  3. 4350

  4. 3690

  5. 4790
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The pattern is x(n) = x(n-1) * 4 + 2. 2*4+2=10, 10*4+34? No. Let's check: 10-2=8, 74-10=64, 290-74=216, 802-290=512, 1802-802=1000. Differences: 8, 64, 216, 512, 1000. These are 2*2^3, 8*2^3, 27*2^3, 64*2^3, 125*2^3. The next difference is 216*8 = 1728. 1802 + 1728 = 3530.

Multiple choice

Given the series: 4,665,600, 129,600, 5,184, 324, y, x. If z is 50% more than the sum of the two missing numbers in the series, what is the resulting value when the first term is divided by z?

  1. 47,150

  2. 58,120

  3. 69,120

  4. 77,120

  5. 86,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The series is 4665600, 129600, 5184, 324, y, x. Dividing: 4665600/129600 = 36, 129600/5184 = 25, 5184/324 = 16. The divisors are 6^2, 5^2, 4^2. Next divisors should be 3^2=9 and 2^2=4. y = 324/9 = 36. x = 36/4 = 9. Sum = 36+9 = 45. z = 45 * 1.5 = 67.5. First term / z = 4665600 / 67.5 = 69120.