1. Find out the wrong number in each sequence:
25, 36, 49, 81, 121, 169, 225
The sequence follows the pattern of the squares of odd natural numbers starting from 5:
• 5 sq = 25
• 7 sq = 49
• 9 sq = 81
• 11 sq = 121
• 13 sq = 169
• 15 sq = 225
So, the wrong number in the sequence is 36 because it is the square of an even number (6) and does not fit the pattern.
2. Find out the wrong number in each sequence:
4, 6, 8, 9, 10, 11, 12
A composite number is a number that has more than two factors.
A prime number is a number that has exactly two factors: 1 and itself.
Now, let’s check each number:
4: Composite (factors: 1, 2, 4)
6: Composite (factors: 1, 2, 3, 6)
8: Composite (factors: 1, 2, 4, 8)
9: Composite (factors: 1, 3, 9)
10: Composite (factors: 1, 2, 5, 10)
11: Prime (factors: 1, 11)
12: Composite (factors: 1, 2, 3, 4, 6, 12)
Wrong Number: 11
All numbers in the sequence are composite except 11, which is a prime number.
3. Find out the wrong number in each sequence:
56, 72, 90, 110, 132, 150
The sequence is: 56, 72, 90, 110, 132, 150
Differences:
• 72−56=16
• 90−72=18
• 110−90=20
• 132−110=22
• 150−132=18→ This breaks the increasing pattern of differences.
Correct Pattern:
After 22, the next difference should be 24.
So, 132+24=156, not 150.
Wrong Number: 150
4. Find out the wrong number in each sequence:
4, 9, 19, 39, 79, 160, 319
The sequence is: 4, 9, 19, 39, 79, 160, 319
Differences:
• 9−4=5
• 19−9=10
• 39−19=20
• 79−39=40
• 160−79=81→ This breaks the doubling pattern (it should be 80).
• 319−160=159
Wrong Number: Instead of 160, it should be 159.
5. Find out the wrong number in each sequence:
10, 14, 28, 32, 64, 68, 132
Sequence: 10, 14, 28, 32, 64, 68, 132
Pattern:
• Add 4, then multiply by 2, alternately:
o 10+4=14
o 14×2=28
o 28+4=32
o 32×2=64
o 64+4=68
o 68×2=136
Wrong Number:
The last number should be 136, not 132.
6. Find out the wrong number in each sequence:
125, 123, 120, 115, 108, 100, 84
The sequence is: 125, 123, 120, 115, 108, 100, 84
Prime number pattern:
The differences between the numbers are following the pattern of successive prime numbers:
• 125−123=2
• 123−120=3
• 120−115=5
• 115−108=7
• 108−97=11(should be next, not 100)
The issue:
• 108−100=8 breaks the prime number pattern.
Conclusion:
100 is the wrong number. It should be 97.
7. Find the odd man out:
8, 27, 64, 100, 125, 216, 343
The pattern:
• 8 = 2 (cube of 2)
• 27 = 3 (cube of 3)
• 64 = 4 (cube of 4)
• 100 is not a cube number.
• 125 = 5 (cube of 5)
• 216 = 6 (cube of 6)
• 343 = 7 (cube of 7)
Conclusion:
100 is the odd one out because it is not a perfect cube.
8. Find the odd man out:
13. 253, 136, 352, 460, 324, 631, 244
Checking the number pattern:
We will check the sum of the digits of each number:
• 253 : 2 + 5 + 3 = 10
• 136 : 1 + 3 + 6 = 10
• 352 : 3 + 5 + 2 = 10
• 460 : 4 + 6 + 0 = 10
• 324 : 3 + 2 + 4 = 9 (This is different)
• 631 : 6 + 3 + 1=10
• 244 : 2 + 4 + 4 = 10
Conclusion:
324 is the odd one out because its sum of digits is 9, while all the others have a sum of 10.
9. Find the odd man out:
2, 5, 10, 50, 500, 5000
Checking the pattern:
• 2×2=5 (not true)
• 5×2=10(true)
• 10×5=50 (true)
• 50×10=500 (true)
• 500×10=5000 (true)
Conclusion:
The number 2 does not follow the pattern where each number is multiplied by a certain factor. It doesn't follow the same multiplication logic as the others.
10. Insert the missing number:
9, 12, 11, 14, 13, (…..), 15
Sequence: 9, 12, 11, 14, 13, (…..), 15
Identifying the pattern:
• The sequence alternates between adding 3 and subtracting 1:
o 9+3=12
o 12−1=11
o 11+3=14
o 14−1=13
Now, following this pattern:
• 13+3=16
• 16−1=15 (this matches the last number in the sequence)
Conclusion:
The missing number is 16.
11. Insert the missing number:
2, 6, 12, 20, 30, 42, 56, (…..)
The sequence follows a pattern where each number is the product of two consecutive integers.
• 1×2=2
• 2×3=6
• 3×4=12
• 4×5=20
• 5×6=30
• 6×7=42
• 7×8=56
Following this pattern:
• The next number is 8×9=72.
12. Insert the missing number:
5, 10, 13, 26, 29, 58, 61, (…..)
The pattern alternates between multiplying by 2 and adding 3. Let's break it down:
• 5×2 = 10
• 10+3 = 13
• 13×2 = 26
• 26+3 = 29
• 29×2 = 58
• 58+3 = 61
Now, following the pattern:
• 61×2 = 122
Conclusion:
The missing number is 122.
13. Find out the wrong number in the series:
19, 26, 33, 46, 59, 74, 91
The series: 19, 26, 33, 46, 59, 74, 91
The pattern involves adding consecutive odd numbers:
• 19+7=26
• 26+9=35 (but we have 33, so this is the wrong number)
• 33+11=46
• 46+13=59
• 59+15=74
• 74+17=91
So, following the pattern, 33 should have been 35.
Answer: (B) 33
14. Find out the wrong number in the series:
6, 12, 48, 100, 384, 768, 3072
The series: 6, 12, 48, 100, 384, 768, 3072
Checking the pattern:
• 6×2=12
• 12×4=48
• 48×2=96 (but we have 100 — this is the wrong number)
• 100×4=400 (but we have 384 — confirming that 100 is the wrong number)
• 384×2=768
• 768×4=3072
Identifying the wrong number:
The sequence follows an alternating pattern of multiplying by 2 and 4. The number 100 does not fit into this pattern correctly.
15. Find out the wrong number in the series:
2880, 480, 92, 24, 8, 4, 4
The series: 2880, 480, 92, 24, 8, 4, 4
Checking the pattern:
• 2880÷6=480
• 480÷5=96 (but we have 92 — this is the wrong number)
• 92÷4=24
• 24÷3=8
• 8÷2=4
• 4÷1=4
Identifying the wrong number:
The sequence follows a division pattern where the divisor reduces by 1 in each step, but 92 does not fit the pattern. It should have been 96.
16. Find out the wrong number in the series:
4, 9, 16, 25, 32, 49
The sequence is: 4, 9, 16, 25, 32, 49
Looking at the numbers:
• 4 is 2^2 (a perfect square).
• 9 is 3^2 (a perfect square).
• 16 is 4^2 (a perfect square).
• 25 is 5^2 (a perfect square).
• 32 is not a perfect square.
• 49 is 7^2 (a perfect square).
The pattern involves perfect squares of consecutive integers, and 32 doesn't fit this pattern.
17. Find out the wrong number in the series:
10, 25, 56, 70, 85, 95, 125
All numbers in the sequence except 56 are multiples of 5:
• 10 = 5 × 2
• 25 = 5 × 5
• 70 = 5 × 14
• 85 = 5 × 17
• 95 = 5 × 19
• 125 = 5 × 25
However, 56 is not a multiple of 5, making it the incorrect number in the series.
18. Find out the wrong number in the series:
789, 645, 545, 481, 440, 429, 425
Observation.
2nd term = 1st term - (12)^2 = 789 - 144 = 645
3rd term = 2nd term - (10)^2 = 645 - 100 = 545
4th term = 3rd term - (8)^2 = 545 - 64 = 481
5th term = 4th term - (6)^2 = 481 - 36 = 445
So, the 5th term should be 445, not 440.
Therefore, 440 is the wrong number in the series.
19. Find out the wrong number in the series:
64, 71, 80, 91, 104, 119, 135, 155
Go on adding 7, 9, 11, 13, 15, 17, 19 respectively to obtain the next number.
So, 135 is wrong
The series goes as:
64 + 7 = 71
71 + 9 = 80
80 + 11 = 91
91 + 13 = 104
104 + 15 = 119
119 + 17 = 136 (This should be the next number, but 135 is listed)
136 + 19 = 155
So, 135 is incorrect. It should be 136.
20. Find out the wrong number in a given series.
445, 221, 109, 46, 25, 11, 4
The pattern involves subtracting 3 and then dividing the result by 2 to obtain the next number:
• 445 - 3 = 442, then 442 ÷ 2 = 221
• 221 - 3 = 218, then 218 ÷ 2 = 109
• 109 - 3 = 106, then 106 ÷ 2 = 53
• 53 - 3 = 50, then 50 ÷ 2 = 25
• 25 - 3 = 22, then 22 ÷ 2 = 11
So, 46 does not fit the pattern and is the wrong number.
The correct answer is (C) 46
21. Find out the wrong number in a given series.
36, 64, 81, 125, 169
Given series:
36, 64, 81, 125, 169
The pattern is based on perfect squares and cubes:
• 36 = 6^2 (a perfect square)
• 64 = 8^2 (a perfect square)
• 81 = 9^2 (a perfect square)
• 125 = 5^3 (a perfect cube)
• 169 = 13^2 (a perfect square)
So, 125 is the wrong number because it is a perfect cube, while the others are all perfect squares.
The correct answer is 125.
22. Find out the wrong number in a given series.
2, 6, 12, 72, 824
The given sequence is:
2, 6, 12, 72, 824
The pattern you pointed out is:
• 2 × 6 = 12
• 6 × 12 = 72
• 12 × 72 = 864 (not 824)
Thus, 824 is incorrect because the correct result should be 864.
Therefore, the wrong number is 824.
23. Find out the wrong number in a given series.
3, 7, 15, 39, 63, 127, 255, 511
The given series is:
3, 7, 15, 39, 63, 127, 255, 511
The pattern is: multiply the previous number by 2 and then add 1 to get the next number.
• 3 × 2 + 1 = 7
• 7 × 2 + 1 = 15
• 15 × 2 + 1 = 31 (but we have 39, so 39 is wrong)
• 39 × 2 + 1 = 79 (but the sequence continues as 63, which is also incorrect based on the pattern)
Thus, 39 is wrong. It should be 31.
24. Find out the wrong number in a given series.
1, 2, 8, 33, 148, 760, 4626
2nd term = (1st term x 1 + 1∧2) = 1 x 1 + 1∧2 = 2;
3rd term = (2nd term x 2 + 2∧2) = 2 x 2 + 2∧2 = 8;
4th term = (3rd term x 3 + 3∧2) = 8 x 3 + 3∧2 = 33;
5th term = (4th term x 4 + 4∧2) = 33 x 4 + 4∧2 = 148;
6th term = (5th term x 5 + 5∧2 ) = 148 x 5 + 5∧2 = 765.
Therefore, 760 is wrong.
25. Find out the wrong number in a given series.
2, 3, 6, 15, 52.5, 157.5, 630
The pattern in this sequence involves multiplying each term by a progressively increasing number:
2 × 1.5 = 3
3 × 2 = 6
6 × 2.5 = 15
15 × 3 = 45 (This should be the next term, but 52.5 is given instead)
So, the incorrect term is 52.5.
Therefore, the wrong number is:
(C) 52.5.
26. Find out the wrong number in a given series.
263, 284, 393, 481, 482
Following the pattern "Second digit = First digit × Third digit":
263: 6 = 2 × 3 (True)
284: 8 = 2 × 4 (True)
393: 9 = 3 × 3 (True)
482: 8 = 4 × 2 (True)
However, for 481, the second digit is 8, and the condition does not hold because
4 × 1 = 4, not 8.
Thus, 481 is indeed the wrong number.
27. Find out the wrong number in a given series.
6, 13, 18, 25, 30, 37, 40
The difference between two successive terms from the beginning are 7, 5, 7, 5, 7, 5.
So 40 is wrong.
28. Find out the wrong number in a given series.
124, 133, 142, 152, 160
The sequence follows an arithmetic progression (A.P.) with a common difference of 9.
Starting with:
• 124 + 9 = 133
• 133 + 9 = 142
• 142 + 9 = 151
• 151 + 9 = 160
So, 152 is indeed the wrong number in the series.
The correct sequence should have been: 124, 133, 142, 151, 160.
Therefore, the wrong number is 152.
29. Find out the wrong number in a given series.
644, 328, 164, 84, 44, 24, 14
The pattern in the series:
• 644 ÷ 2 = 322 (but the next number is 328, which is incorrect)
• 328 ÷ 2 = 164 (correct)
• 164 ÷ 2 = 82 (but the next number is 84, which is incorrect)
• 84 ÷ 2 = 42 (but the next number is 44, which is incorrect)
• 44 ÷ 2 = 22 (but the next number is 24, which is incorrect)
• 24 ÷ 2 = 12 (but the next number is 14, which is incorrect)
So, the incorrect number here is 328 because the pattern should have been halving the number to get the next one, but it doesn't follow correctly with 328.
30. Find out the wrong number in the series:
4, 5, 15, 49, 201, 1011, 6073
2nd term = (1st term x 1 + 2) = (4 x 1 + 2) = 6;
3rd term = (2nd term x 2 + 3) = (6 x 2 + 3) = 15;
4th term = (3rd term x 3 + 4) = (15 x 3 + 4) = 49;
5th term = (4th term x 4 + 5) = (49 x 4 + 5) = 210 and so on.
Therefore, 5 is wrong.
31. Find out the wrong number in the series:
15, 16, 34, 105, 424, 2124, 12576
2nd term = (1st term × 1 + 1) = (15 × 1 + 1) = 16
3rd term = (2nd term × 2 + 2) = (16 × 2 + 2) = 34
4th term = (3rd term × 3 + 3) = (34 × 3 + 3) = 105
5th term = (4th term × 4 + 4) = (105 × 4 + 4) = 424
6th term = (5th term × 5 + 5) = (424 × 5 + 5) = 2125
So, the 6th term should indeed be 2125, but the series gives 2124.
Thus, the incorrect term is 2124.
Answer: 2124 is wrong.
32. Find out the wrong number in the series:
40960, 10240, 2560, 640, 200, 40, 10
The pattern:
10240 ÷ 4 = 2560
2560 ÷ 4 = 640
640 ÷ 4 = 160
160 ÷ 4 = 40
40 ÷ 4 = 10
So, the correct series should be:
40960, 10240, 2560, 640, 160, 40, 10.
The number 200 doesn't fit the pattern.
Answer: 200 is wrong.
33. Complete the following series.
9, 11, 15, 23, 39, ?
The differences between consecutive numbers:
11 - 9 = 2
15 - 11 = 4
23 - 15 = 8
39 - 23 = 16
The differences are following a pattern: 2, 4, 8, 16, which are powers of 2.
So, the next difference should be 32.
Now, adding 32 to the last number in the series:
39 + 32 = 71
Therefore, the missing number is 71.
The correct answer is: (D) 71.
34. Find out the wrong number in the series:
1, 1, 2, 6, 24, 96, 720
Go on multiplying with 1, 2, 3, 4, 5, 6 to get the next number.
The sequence follows this pattern:
1st term: 1 × 1 = 1
2nd term: 1 × 2 = 2
3rd term: 2 × 3 = 6
4th term: 6 × 4 = 24
5th term: 24 × 5 = 120 (but we have 96, which is incorrect)
So, 96 doesn't fit the pattern. The correct number should be 120.
Therefore, 96 is the wrong number.
35. Find out the wrong number in the series:
3, 8, 15, 24, 34, 48, 63
The differences between consecutive terms:
8 - 3 = 5
15 - 8 = 7
24 - 15 = 9
34 - 24 = 10
48 - 34 = 14
63 - 48 = 15
The differences don't follow a consistent pattern. The difference between 34 and 24 should be 11 (as the sequence is increasing by 5, 7, 9, and then should ideally increase by 11). However, the difference is 10.
Therefore, 34 is the wrong number.
36. Find out the wrong number in the series:
125, 106, 88, 76, 65, 58, 53
Go on subtracting prime numbers 19, 17, 13, 11, 7, 5 from the numbers to get the next number.
125 - 19 = 106
106 - 17 = 89
89 - 13 = 76
76 - 11 = 65
65 - 7 = 58
58 - 5 = 53
Thus, 88 is incorrect because it doesn't fit the pattern of subtracting prime numbers.
37. Find out the wrong number in the series:
7, 8, 18, 57, 228, 1165, 6996
Given numbers: 7, 8, 18, 57, 228, 1165, 6996
We need to multiply the term by a factor that increases by 1 each time, and then add the same number.
A = 7
B = 7 × 1 + 1 = 8
C = 8 × 2 + 2 = 18
D = 18 × 3 + 3 = 57
E = 57 × 4 + 4 = 228
F = 228 × 5 + 5 = 1140 + 5 = 1145 (But we have 1165, so 1165 is incorrect)
G = 1165 × 6 + 6 = 6996
228 is indeed the wrong number in the series.
38. Find out the wrong number in the series:
5, 15, 30, 135, 405, 1215, 3645
Given the series:
5, 15, 30, 135, 405, 1215, 3645
To identify the wrong number, let’s check if each term is related to the next by multiplying by 3.
5 × 3 = 15 (Correct)
15 × 3 = 45 (But the next term is 30, so 30 is wrong)
30 × 3 = 90 (This is what the next term should be, but it's 135, which further confirms 30 is wrong)
The sequence is multiplying each term by 3 to get the next one. Since 30 doesn't follow the correct pattern, it is the wrong number.
So, the answer is (B) 30.
39. Find out the wrong number in the series:
1, 3, 10, 21, 64, 129, 356, 777
The sequence is:
1, 3, 10, 21, 64, 129, 356, 777
The pattern you mentioned is:
• A x 2 + 1, B x 3 + 1, C x 2 + 1, D x 3 + 1, and so on.
Let's check the terms:
• 1st term: 1×2+1=3
• 2nd term: 3×3+1=10
• 3rd term: 10×2+1=21
• 4th term: 21×3+1=64
• 5th term: 64×2+1=129
• 6th term: 129×3+1=388 (not 356)
So, 356 is incorrect, and the correct value should be 388.
Answer: (A) 356
40. Find out the wrong number in the series:
3, 7, 15, 27, 63, 127, 255
The series is:
3, 7, 15, 27, 63, 127, 255
The pattern seems to be doubling the previous number and then adding 1:
3 x 2 + 1 = 7
7 x 2 + 1 = 15
15 x 2 + 1 = 31 (But the next term is 27, not 31)
27 x 2 + 1 = 55 (But the next term is 63, not 55)
The sequence doesn't follow the expected pattern consistently, so 27 is the wrong number in this series.
Answer: (B) 27
41. Find out the wrong number in the series:
190, 166, 145, 128, 112, 100, 91
The differences between consecutive terms:
190 - 166 = 24
166 - 145 = 21
145 - 128 = 17
128 - 112 = 16
112 - 100 = 12
100 - 91 = 9
The differences don't follow a consistent pattern, except for the number 128, where the difference seems to break the trend.
Hence, 128 is the wrong number in the series.
So, the correct answer is: (C) 128.
42. Insert the missing number:
3, 7, 6, 5, 9, 3, 12, 1, 15, (…..)
There are two series, starting with 3 and 7.
In one, 3 is aThere are two series:
First series starting with 3, where 3 is added each time.
Second series starting with 7, where 2 is subtracted each time.
Looking at the sequence:
First series: 3, 6, 9, 12, 15 (Adding 3 each time).
Second series: 7, 5, 3, 1, -1 (Subtracting 2 each time).
So, the missing number at the end of the sequence should be -1.
The correct answer is (A) -1.dded and 2 is subtracted.
The following number is 1 minus 2 = -1.
43. Complete the series: 2, 5, 9, 19, 37, ……
The pattern is alternating between adding 1 and subtracting 1 from twice the previous number:
2 × 2 + 1 = 5
2 × 5 - 1 = 9
2 × 9 + 1 = 19
2 × 19 - 1 = 37
2 × 37 + 1 = 75
So, the missing number is 75.
44. Insert the missing number:
1, 2, 4, 8, 16, 32, 64, (…..), 256
The pattern is that each number is multiplied by 2:
1 × 2 = 2
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
32 × 2 = 64
64 × 2 = 128
128 × 2 = 256
So, the missing number is 128. Therefore, the answer is (A) 128.
45. Insert the missing number:
16, 33, 65, 131, 261, (…..)
The pattern alternates between doubling the previous number and then adding or subtracting 1.
Let's break :
16 × 2 + 1 = 33
33 × 2 - 1 = 65
65 × 2 + 1 = 131
131 × 2 - 1 = 261
Now, 261 × 2 + 1 = 523
Thus, the missing number is 523, and the correct answer is (B) 523.
46. Insert the missing number:
2, 4, 12, 48, 240, (…..)
Go on multiplying the given numbers by 2, 3, 4, 5, 6.
So, the correct next number is 1440.
The pattern:
2 × 2 = 4
4 × 3 = 12
12 × 4 = 48
48 × 5 = 240
Following the same pattern, the next number would be: 240 × 6 = 1440
So, the missing number is 1440
47. Insert the missing number:
8, 7, 11, 12, 14, 17, 17, 22, (…..)
There are two alternating sequences:
The first sequence: 8, 11, 14, 17, 20 (increasing by 3).
The second sequence: 7, 12, 17, 22 (increasing by 5).
Following this pattern, the next number should belong to the first sequence:
The last number in the first sequence is 17, so adding 3 gives us 20.
Thus, the missing number is 20, and the correct answer is (A) 20.
48. Insert the missing number:
16, 33, 65, 131, 261, (…..)
Each number is twice the preceding one, with 1 added or subtracted alternately, the calculations would look like this:
1. 16×2+1=33
2. 33×2−1=65
3. 65×2+1=131
4. 131×2−1=261
5. 261×2+1=523
So, the missing number is 523.
Answer: (C) 523
49. Find out the wrong number in each sequence:
3, 10, 21, 36, 55, 70, 105
The sequence: 3, 10, 21, 36, 55, 70, 105.
The pattern follows: n × (n + 2), where n starts from 1, 2, 3, and so on:
1. 1×(1+2)=1×3=3
2. 2×(2+2)=2×5=10
3. 3×(3+2)=3×7=21
4. 4×(4+2)=4×9=36
5. 5×(5+2)=5×11=55
6. 6×(6+2)=6×13=78, not 70.
7. 7×(7+2)=7×15=105.
So, 70 is the wrong number. Correctly, it should be 78.
Answer: (C) 70
50. Find out the wrong number in each sequence:
8, 27, 125, 343, 1331
The given sequence is: 8, 27, 125, 343, 1331
These numbers correspond to the cubes of consecutive integers:
• 2^3=8
• 3^3=27
• 5^3=125
• 7^3=343
• 11^3=1331
All numbers follow the pattern correctly (cubes of prime numbers). Hence, the wrong number is (D) None of these.
51. Find out the wrong number in each sequence:
582, 605, 588, 611, 634, 617, 600
Alternately 23 is added and 17 is subtracted from the terms. So, 634 is wrong
The sequence: 582, 605, 588, 611, 634, 617, 600.
The pattern alternates between adding and subtracting 23:
1. 582+23=605
2. 605−17=588
3. 588+23=611
4. 611−17=594
5. ( 634 doesn't align with correct patterns.
52. Find out the wrong number in each sequence:
52, 51, 48, 43, 34, 27, 16
The correct pattern involves subtracting consecutive odd numbers (1, 3, 5, 7, 9, 11) from each successive term.
Let's break it down:
1. 52−1=51
2. 51−3=48
3. 48−5=43
4. 43−7=36 (instead of 34)
5. 36−9=27
6. 27−11=16
Thus, the wrong number is 34, as it doesn't fit the pattern. The correct number should be 36.
The correct answer is (C) 34.
53. Find out the wrong number in each sequence:
46080, 3840, 384, 48, 24, 2, 1
The pattern involves dividing by successively decreasing even numbers: 12, 10, 8, 6, and so on.
1. 46080÷12=3840
2. 3840÷10=384
3. 384÷8=48
4. 48÷6=8 (instead of 24)
5. 8÷4=2
6. 2÷2=1
Thus, 24 is incorrect. The correct term should be 8.
The wrong number in the sequence is 24.
54. Find out the wrong number in each sequence:
125, 127, 130, 135, 142, 153, 165
If we add successive prime numbers (2, 3, 5, 7, 11, 13) to the terms, the sequence should look like this:
• 125 + 2 = 127
• 127 + 3 = 130
• 130 + 5 = 135
• 135 + 7 = 142
• 142 + 11 = 153
• 153 + 13 = 166
Thus, the correct number after 153 should be 166, not 165.
So, 165 is indeed the wrong number.
The correct answer is (A) 165.
55. Find out the wrong number in each sequence:
16, 32, 64, 81, 100, 144, 190
Let's analyze the sequence:
16, 32, 64, 81, 100, 144, 190
We notice that the first three numbers (16, 32, 64) are powers of 2:
• 16 = 2^4
• 32 = 2^5
• 64 = 2^6
The next few numbers (81, 100, 144) are perfect squares:
• 81 = 9^2
• 100 = 10^2
• 144 = 12^2
However, the number 190 does not fit the pattern of powers of 2 or perfect squares.
Thus, 190 is the wrong number.
56. Find out the wrong number in each sequence:
22, 33, 69, 99, 121, 279, 594
Each number except 279 is a multiple of 11.
22 is divisible by 11 (22 ÷ 11 = 2)
33 is divisible by 11 (33 ÷ 11 = 3)
69 is divisible by 11 (69 ÷ 11 = 6)
99 is divisible by 11 (99 ÷ 11 = 9)
121 is divisible by 11 (121 ÷ 11 = 11)
594 is divisible by 11 (594 ÷ 11 = 54)
But 279 is not divisible by 11 (279 ÷ 11 = 25.36, not an integer).
Thus, 279 is the wrong number in the series.
57. Find out the wrong number in each sequence:
1, 8, 27, 64, 124, 216, 343
The pattern follows cubes of consecutive integers:
• 1^3=1
• 2^3=8
• 3^3=27
• 4^3=64
• 5^3=125 (not 124)
• 6^3=216
• 7^3=343
So, 124 is the wrong number. It should be 125.
The correct answer is (D) 124.
58. Find out the wrong number in each sequence:
105, 85, 60, 30, 0, - 45, - 90
The sequence starts with 105, and the pattern is to subtract consecutive numbers:
105 - 20 = 85
85 - 25 = 60
60 - 30 = 30
30 - 35 = -5
-5 - 40 = -45
-45 - 45 = -90
The sequence should have been: 105, 85, 60, 30, -5, -45, -90.
So, the wrong number is 0.
59. Find out the wrong number in each sequence:
8, 13, 21, 32, 47, 63, 83
The differences between consecutive terms should follow a pattern:
13 - 8 = 5
21 - 13 = 8
32 - 21 = 11
47 - 32 = 15
63 - 47 = 16 (This is odd, should have been 20)
83 - 63 = 20
Since the difference between 47 and 32 (15) breaks the pattern, the wrong number is 47.
60. Find out the wrong number in each sequence:
36, 54, 18, 27, 9, 18.5, 4.5
The sequence alternates between multiplication by 1.5 and division by 3.
• 36 × 1.5 = 54
• 54 ÷ 3 = 18
• 18 × 1.5 = 27
• 27 ÷ 3 = 9
• 9 × 1.5 = 13.5 (but we have 18.5 here, which is incorrect)
• 18.5 ÷ 3 = 4.5
So, the wrong number is 18.5.
61. Find out the wrong number in each sequence:
1, 2, 6, 15, 31, 56, 91
The sequence is constructed by adding consecutive perfect squares:
• Start with 1: 1
• Add 1^2=1 to get 2 : 1+1=2
• Add 2^2=4 to get 6: 2+4 = 6
• Add 3^2=9 to get 15: 6+9 =15
• Add 4^2=16 to get 31: 15+16 = 31
• Add 5^2=25 to get 56: 31+25=56
• Add 6^2=36 to get 92: 56+36=92
The sequence shows 91 instead of 92, so 91 is the wrong number.
Answer: (D) 91.