General Intelligence
Number Series
Number Series
Q. #6547 (CAT-I)
Find the missing number in the series: 325, 259, 204, 160, 127, 105, ?
View Answer & Explanation
• The differences between consecutive terms decrease by 11 at each step:
325 - 66 = 259
259 - 55 = 204
204 - 44 = 160
160 - 33 = 127
127 - 22 = 105
105 - 11 = 94
• Thus, the next number is 94.
General Intelligence
Number Series
Number Series
Q. #6546 (CAT-I)
Find the missing term in the sequence: 5, 16, 51, 158, ?
A.
483
B.
1454
C.
481
D.
1452
View Answer & Explanation
• The pattern is multiplying by 3 and adding consecutive odd numbers:
5 × 3 + 1 = 16
16 × 3 + 3 = 51
51 × 3 + 5 = 158
158 × 3 + 7 = 474 + 7 = 481
• Hence, the correct term is 481.
General Intelligence
Number Series
Number Series
Q. #6545 (CAT-I)
Find the missing number in the given series: 0, 5, 60, 615, ?
A.
6030
B.
6170
C.
6130
D.
6000
View Answer & Explanation
• The pattern involves adding numbers formed by repeating the digit 5:
0 + 5 = 5
5 + 55 = 60
60 + 555 = 615
615 + 5555 = 6170
• Therefore, the missing number is 6170.
General Intelligence
Number Series
Number Series
Q. #6544 (CAT-I)
Find the missing number in the following series: 2123, 3234, 4345, 5456, ?
A.
6567
B.
6467
C.
6556
D.
6566
View Answer & Explanation
• The pattern follows an addition of 1111 to each successive term:
2123 + 1111 = 3234
3234 + 1111 = 4345
4345 + 1111 = 5456
5456 + 1111 = 6567
• Alternatively, looking at the individual digits of each term: 2-1-2-3, 3-2-3-4, 4-3-4-5, 5-4-5-6, the next set is 6-5-6-7, giving 6567.
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General Intelligence
Number Series
Number Series
Q. #6543 (CAT-I)
Find the odd/wrong number in the given number series:
28, 44, 68, 80, 92
View Answer & Explanation
Each term is a multiple of 4 with a prime factor:
28 = 4 × 7
44 = 4 × 11
68 = 4 × 17
80 = 4 × 20 (20 is not a prime number)
92 = 4 × 23
• The numbers multiplied by 4 are consecutive primes (7, 11, 17, 19 would give 76, 23). Since 20 is composite, 80 is the wrong/inconsistent term.
General Intelligence
Number Series
Number Series
Q. #6542 (CAT-I)
Find the wrong number in the given series:
216, 163, 120, 72, 24
A.
216
B.
163
C.
72
D.
24
View Answer & Explanation
The pattern has a constant common difference of -48:
216 - 48 = 168 (given as 163)
168 - 48 = 120
120 - 48 = 72
72 - 48 = 24
• Thus, 163 is the wrong number.
General Intelligence
Number Series
Number Series
Q. #6541 (CAT-I)
Find the incorrect number in the sequence:
8, 13, 21, 32, 47, 63, 83
View Answer & Explanation
The difference between consecutive terms increases by 3:
8 + 5 = 13
13 + 8 = 21
21 + 11 = 32
32 + 14 = 46 (given as 47)
46 + 17 = 63
63 + 20 = 83
• Hence, the incorrect term is 47.
General Intelligence
Number Series
Number Series
Q. #6540 (CAT-I)
Identify the wrong number in the following series:
19, 28, 39, 52, 67, 84, 102
View Answer & Explanation
Let us examine the differences between successive numbers:
19 + 9 = 28
28 + 11 = 39
39 + 13 = 52
52 + 15 = 67
67 + 17 = 84
84 + 19 = 103 (instead of 102)
• Therefore, 102 is the wrong number in the series.
General Intelligence
Number Series
Number Series
Q. #6539 (CAT-I)
Find the missing term in the series: 3, 5, 9, ?, 33, 65
View Answer & Explanation
The terms follow the pattern of powers of 2 plus 1 (2ⁿ + 1):
2¹ + 1 = 3
2² + 1 = 5
2³ + 1 = 9
2⁴ + 1 = 17
2⁵ + 1 = 33
2⁶ + 1 = 65
• Hence, the missing term is 17.
General Intelligence
Number Series
Number Series
Q. #6538 (CAT-I)
Find the missing number in the given series:
19, 9, 28, 37, 65, ?
A.
99
B.
97
C.
102
D.
113
View Answer & Explanation
Each term from the third term onward is the sum of the preceding two terms:
19 + 9 = 28
9 + 28 = 37
28 + 37 = 65
37 + 65 = 102
• Thus, the missing number is 102.
General Intelligence
Number Series
Number Series
Q. #6537 (CAT-I)
Find the missing number in the following series:
1, 3, 6, 11, 18, ?
View Answer & Explanation
The differences between consecutive numbers are consecutive prime numbers:
1 + 2 = 3
3 + 3 = 6
6 + 5 = 11
11 + 7 = 18
18 + 11 = 29
• Therefore, the missing term is 29.
General Intelligence
Number Series
Number Series
Q. #6536 (CAT-I)
Find the missing term in the given sequence:
5, 13, 40, 104, ?
A.
217
B.
229
C.
259
D.
279
View Answer & Explanation
The differences between consecutive terms are cubes of consecutive integers:
5 + 2³ = 5 + 8 = 13
13 + 3³ = 13 + 27 = 40
40 + 4³ = 40 + 64 = 104
104 + 5³ = 104 + 125 = 229
• Thus, the next number in the series is 229.
General Intelligence
Number Series
Number Series
Q. #6535 (CAT-I)
What will replace the question mark (?) in the following series?
2, 3, 6, 7, 14, 15, ?
View Answer & Explanation
The pattern alternates between adding 1 and multiplying by 2:
2 + 1 = 3
3 × 2 = 6
6 + 1 = 7
7 × 2 = 14
14 + 1 = 15
15 × 2 = 30
• Hence, the missing number is 30.
General Intelligence
Number Series
Number Series
Q. #6534 (CAT-I)
Find the missing number in the series: 1, 2, 6, 12, 36, 72, ?
A.
108
B.
144
C.
180
D.
216
View Answer & Explanation
The pattern follows alternating multiplication by 2 and 3:
1 × 2 = 2
2 × 3 = 6
6 × 2 = 12
12 × 3 = 36
36 × 2 = 72
72 × 3 = 216
• Therefore, the next number is 216.
General Intelligence
Number Series
Number Series
Q. #6533 (CAT-I)
Find the missing number in the following series: 219, 211, 204, 198, ?, 189
A.
196
B.
193
C.
192
D.
190
View Answer & Explanation
The consecutive differences decrease by 1 at each step:
219 - 8 = 211
211 - 7 = 204
204 - 6 = 198
198 - 5 = 193
193 - 4 = 189
• Therefore, the missing term is 193.