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Home ‣ Aptitude ‣ Odd Man Out and Series Comments
- Question
Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,...
Options- A. 3924
- B. 1962
- C. 1684
- D. 1452
- Correct Answer
- 1962
ExplanationArithmetic Series ::
An Arithmetic Series is a series of numbers in which each term increases by a constant amount.
How to find the sum of the Arithmetic Sequence or Series for the given Series ::
When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.
That is given by Where n = number of terms, a1 = first term, an = last term
Here Last term is given by where d = common difference
Now given Arithmetic Series is
2, 5, 8, 11,...
Here a1 = 2, d = 3, n = 36
Now,
Now, Sum to 36 terms is given by
Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.
- 1. Please enter the Missing number: 4 8 14 22 ?
Options- A. 28
- B. 32
- C. 46
- D. 36 Discuss
- 2. 311, 230, 294, ?, 281, 256 What will come in place of the question mark (?) in the above number series?
Options- A. 240
- B. 245
- C. 244
- D. 246 Discuss
- 3. In following number series only one number is wrong. Find out that wrong or odd number in the series? 6, 78, 858, 7722, 54055, 270270
Options- A. 270270
- B. 54055
- C. 7722
- D. 858 Discuss
- 4. Find the odd letter/word from the given alternatives.
Options- A. Horse
- B. Ewe
- C. Hind
- D. Bitch Discuss
- 5. A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ?
Options- A. 19 months
- B. 21 months
- C. 18 months
- D. 20 months Discuss
- 6. In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series. 7 18 42 94 204 4 M N O P What value will come in place of P?
Options- A. 179
- B. 184
- C. 164
- D. 156 Discuss
- 7. Find the next number in the series 143 143 136 110 ?
Options- A. 91
- B. 35
- C. 47
- D. 69 Discuss
- 8. Find the Next Number in the given number series? 3, 10.5, 36.75, 128.625, ?
Options- A. 450.187
- B. 442.151
- C. 441.231
- D. 456.852 Discuss
- 3
- 3 x 3.5 = 10.5
- 10.5 x 3.5 = 36.75
- 36.75 x 3.5 = 128.625
- 128.625 x 3.5 = 450.187
- 9. Odd man out of the series 90 72 56 42 36 20
Options- A. 20
- B. 36
- C. 42
- D. 56 Discuss
- 10. What should come in place of question mark (?) in the following number series? 38, 195, ?, 4905, 24530, 122655
Options- A. 980
- B. 885
- C. 824
- D. 1021 Discuss
Odd Man Out and Series problems
Search Results
Correct Answer: 32
Explanation:
Here the given series follows a pattern that,
22 - 0 = 4
32 - 1 = 8
42 - 2 = 14
52 - 3 = 22
62 - 4 = 32
Hence, the missing number is 32
Method 2 ::
The difference between 4 and 8 is 4, the difference between 8 and 14 is 6, the difference between 14 and 22 is 8. So the next difference between 22 and the next number will be 10 since it follows (4,6,8,10 - add +2 each time)
Hence, 22 + 10 = 32 is the missing number.
Correct Answer: 245
Explanation:
Given 311 230 294 ? 281 256
311 - (9x9) = 230
230 + (8x8) = 294
294 - (7x7) = 245
245 + (6x6) = 281
281 - (5x5) = 256
Hence, the missing number in the given series is 245.
Correct Answer: 54055
Explanation:
Here the given series follows a pattern that, multiplying the number with odd numbers in decreasing order starting with 13. That is,
6 × 13 = 78
65 × 11 = 858
858 × 9 = 7722
7722 × 7 = 54054
54054 × 5 = 270270
Hence, the wrong number is 54055
Correct Answer: Horse
Explanation:
Except Horse, remaining all belong to female category.
Hind - Female Deer
Ewe - Female Sheep
Bitch - Female Dog.
Correct Answer: 21 months
Explanation:
Total savings = 200 + 200 + 200 + 240 + 280 + ... to n months = 11040
= 120 + 80 + 160 + 40 + 200 + 240 + ....n terms
= 40 + 80 + 120 + 160 + 200 + 240 + ...n terms
= n/2[2a + (n-1)d] + 80 + 40 = 11040
= n/2[240 + (n-1)40] = 10920
= n[6+n-1] = 546
= n[n+5] = 546
n = 21
Correct Answer: 156
Explanation:
Here the given series 7 18 42 94 204 follows a pattern that,
7
7 ×2+4 = 18
18 ×2+6 = 42
42 ×2+10 = 94
94 ×2+16 = 204
Similarly,
4
4 ×2+4 = 12
12 ×2+6 = 30
30 ×2+10 = 70
70 ×2+16 = 156
Hence, the value of P = 156.
Correct Answer: 47
Explanation:
The next number in the series is
143 143 136 110
0 7 26 (Differences)
Correct Answer: 450.187
Explanation:
Pattern is
Correct Answer: 36
Explanation:
The given number series is 90 72 56 42 36 20
9 x 10 = 90
8 x 9 = 72
7 x 8 = 56
6 x 7 = 42
5 x 6 = 30 (not 36)
4 x 5 = 20
Hence, the odd man in the given number series is 36.
Correct Answer: 980
Explanation:
The given series follows the pattern that,
×5+5, ×5+5, ×5+5, ×5+5, ×5+5
38 x 5 + 5 = 195
195 x 5 + 5 = 980
980 x 5 + 5 = 4905
4905 x 5 + 5 = 24530
24530 x 5 + 5 = 122655
So the missing number is 980 .
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