Number Series Reasoning for TCS NQT: Aptitude Challenge Quiz

Sharpen your skills with these easy number series reasoning questions designed for TCS NQT aptitude exams. This quiz evaluates your understanding of sequence patterns, logic rules, and simple calculations for number progression.

1. Identifying the Next Number in a Series

   Which number should come next in the series: 5, 11, 23, 47, ?

   1. 53
   2. 95
   3. 95
   4. 71

   Explanation: Each number in the series is obtained by multiplying the previous number by 2 and then subtracting 1 (except the first step, which just doubles then adds 1). Thus, after 47: 47 x 2 = 94, then add 1 to get 95. The other options (53, 71, and the duplicate 95) are incorrect because they do not fit this specific pattern.

2. Missing Number in a Cubic Pattern

   Find the missing number in the sequence: 1, 8, 27, ?, 125.

   1. 54
   2. 36
   3. 81
   4. 64

   Explanation: The numbers represent the cubes of consecutive numbers: 1³=1, 2³=8, 3³=27, 4³=64, 5³=125. So the missing number is 4³=64. 36 and 81 are squares, not cubes, and 54 doesn't fit any cube or consecutive number.

3. Square Number Series Completion

   What number completes the series: 4, 9, 16, 25, ?

   1. 49
   2. 40
   3. 36
   4. 32

   Explanation: The series consists of squares of consecutive integers: 2²=4, 3²=9, 4²=16, 5²=25, so the next is 6²=36. The other options (49, 32, 40) are not the square of 6 and therefore do not fit the sequence.

4. Alternating Addition Pattern

   Select the missing number: 10, 14, 23, 27, ?, 35.

   1. 30
   2. 31
   3. 32
   4. 38

   Explanation: The sequence alternates adding 4 and then 9: 10+4=14, 14+9=23, 23+4=27, 27+9=36, but since 35 follows, it actually adds 4, making 31 before adding 4 for 35. The options 30, 32, and 38 break the pattern.

5. Doubling Minus One Series

   What is the next term in the series: 3, 5, 9, 17, ?

   1. 31
   2. 33
   3. 21
   4. 25

   Explanation: The pattern is: each term is double the previous term minus one (3x2-1=5, 5x2-1=9, 9x2-1=17, 17x2-1=33). Other options like 25, 31, and 21 do not follow this doubling and minus one logic.

6. Increment by Even Numbers

   Complete the series: 2, 4, 8, 14, ?, 32.

   1. 18
   2. 20
   3. 22
   4. 24

   Explanation: Each term increases by consecutive even numbers: 2+2=4, 4+4=8, 8+6=14, 14+8=22, 22+10=32. The other options (18, 20, 24) do not maintain the pattern of consecutive even increments.

7. Reverse Pattern Identification

   Which number fits in the series: 100, 96, 88, 76, ?

   1. 72
   2. 64
   3. 68
   4. 66

   Explanation: Each term reduces by 4, then 8, then 12, and then by 16, so 76−16=60. The options 72, 64, 68, and 66 do not continue this subtracting pattern using multiples of 4.

8. Identifying Mixed Operations

   Find the missing number: 7, 14, 12, 24, 22, ?

   1. 48
   2. 40
   3. 44
   4. 32

   Explanation: The pattern alternates between multiplying by 2 and subtracting 2: 7x2=14, 14−2=12, 12x2=24, 24−2=22, 22x2=44. The options 48, 32, and 40 do not fit this alternating operation.

9. Series Involving Prime Numbers

   What comes next in this series: 2, 3, 5, 7, ?

   1. 11
   2. 13
   3. 9
   4. 8

   Explanation: The series lists consecutive prime numbers: 2, 3, 5, 7, next is 11. The other options (8, 9, 13) are not the immediate next prime after 7; 8 and 9 are not primes, and 13 skips one.

10. Original Series from Context

    Based on the sequence 12, 16, 43, 59, 184, what is the missing number that fits after 59?

    1. 182
    2. 125
    3. 184
    4. 144

    Explanation: The series uses a pattern involving powers and cubes: 12+4=16, 16+27=43, 43+16=59, 59+125=184, where the additions are 4 (2²), 27 (3³), 16 (4²), 125 (5³), and so on. 184 is correct, while 144, 125, and 182 do not complete the pattern accurately.