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Phrases Previous Year Questions (PYQs)

Phrases Number Series PYQ

Which two of the following numbers comes in the next in the following sequence.
61, 57, 50, 61, 43, 36, 61, ………





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Solution

The given series is: 61,57 --- ( -7 )----> 50,61, 43 ---(-7)----> 36, 61, 29 ----(-7)----->22
Thus, following the same pattern next two terms will be 29 and 22.
In the following sequence, which pair of numbers fill in the blanks?
1, 1, 3, 2, 8, 5, 21, 13, ___, ___





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Solution

The Fibonacci Sequence is the series of numbers:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55
Find a number from the given options which best completes the series:
39, 416, 525,…......................., 749, 864





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Solution

Find out the wrong number in the following number series: 
56, 58, 62, 70, 84, 118, 182





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Solution

Find out the missing number:






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Solution

Which number should come in place of the question mark (?) in the following chart:
 179 
2 14 ? 
3 105  117





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Solution

Identify the next two numbers in the following sequence:
17, 20, 9, 12, 5, 6, 3, 2, ____, ____





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Solution

Sequence Question:

Identify the next two numbers in the sequence:

17, 20, 9, 12, 5, 6, 3, 2, ?, ?

Solution:

Let’s split the sequence into two alternate parts:

  • Odd-positioned terms: 17, 9, 5, 3 → decreasing by 8, 4, 2
  • Even-positioned terms: 20, 12, 6, 2 → decreasing by 8, 6, 4

 Continue the pattern:

  • Odd series: 17 → 9 (–8), 9 → 5 (–4), 5 → 3 (–2), so next is 3 – 1 = 2
  • Even series: 20 → 12 (–8), 12 → 6 (–6), 6 → 2 (–4), so next is 2 – 2 = 0

✅ Final Answer:

2, 0

Find the missing number






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Solution

Wrong number in the series 7, 8, 18, 57, 228, 1165, 6996





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Solution

The series is
7*1 + 1 = 8
8*2 + 2 = 18
18*3 + 3 = 57
57*4 + 4 = 232
232*5 + 5 = 1165
1165*6 + 6 = 6996
so 228 is wrong
If 3 is subtracted from the middle digit of each of the following numbers and then the position of the digits are reversed, which of the following will be the last digit of the middle number after they are arranged in descending order?
589 362 554 371 442





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Solution

Digit Puzzle: Final Digit of the Middle Number

? Given Numbers: 589, 362, 554, 371, 442

Step 1: Subtract 3 from the middle digit of each number

  • 589 → 589 → 559 → 559
  • 362 → 362 → 332 → 332
  • 554 → 554 → 524 → 524
  • 371 → 371 → 341 → 341
  • 442 → 442 → 412 → 412

Step 2: Reverse the digits of each new number

  • 559 → 955
  • 332 → 233
  • 524 → 425
  • 341 → 143
  • 412 → 214

Step 3: Arrange in descending order

955, 425, 233, 214, 143

Step 4: Pick the middle number

Middle number = 233

Step 5: Find the last digit

Last digit of 233 = 3

✅ Final Answer: 3

Complete the series: 
3,10,24,45,73, ____





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Solution

If 137+ 276 = 435, how much is 731 + 672/ ?





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Solution

137+276=435 (in base 8)
Hence, 731+672=6123
Identify the fifth number in the series: 122, 144, 166, 188, ?





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Solution

Identify the sixth number in the series:
6, 11, 21, 36, 56, ?





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Solution


The number that comes next in the series 1, 2, 3, 6, 11, 20, 37, 68,...





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Solution

0 + 1 + 2 = 3
1 + 2 + 3 = 6
2 + 3 + 6 = 11
3 + 6 + 11 = 20
6 + 11 + 20 = 37
11 + 20 + 37 = 68
so next number in the sequence would be;20 + 37 + 68 = 125
What pair comes next in the following sequence 99, 90, 83, 78, ...





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Solution


Find out the wrong number in the FOLLOWING series.
2, 5, 10, 17, 26, 38, 50, 65





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Solution

Find out the wrong number in the FOLLOWING series.
30, −5, −45, −90, −145, −195, −255





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Solution

Choose the pair of number that comes next: 
1 10 7 20 13 30 19 





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Solution

The following series is obtained by considering representations of decimal 99 in the different number system. The next two numbers in the sequence are
99, 90, 83, 78, ____, ____





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Solution

Find the missing term 7 : 56 : : 9 : ? 





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Solution

The missing number in the following series 336, 210, 120, 60, ______, 6 is





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Solution

Insert the missing number 8, 7, 11, 12, 14, 17, 17, 22, ?





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Solution

Which of the following pairs of number follow the number in the series 2, 4, 12, 24, 72, _____, _____?





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Solution

2
2 x 2 = 4
4 x 3 = 12
12 x 2 = 24
24 x 3 = 72
72 x 2 = 144
144 x 3 = 432

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