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Phrases Previous Year Questions (PYQs)

Phrases Number Series PYQ


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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.

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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

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Which of the following numbers comes next in the two-digit decimal number sequence 61, 52, 63, 94, ______?





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Find the missing number in the series: 4, 7, 25, 10, __________, 20, 16, 19





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Find a number from the given options which best completes the series:
39, 416, 525,…......................., 749, 864





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Solution


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





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Solution


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Which of the following numbers come next in the series 8, 6, 9, 23, 87, ________?





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Solution


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Find out the missing number:






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Which number should come in place of the question mark (?) in the following chart:
 17
14 
105  117





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Solution


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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


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Find the missing number






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Solution


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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

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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


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





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





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Solution

137+276=435 (in base 8)
Hence, 731+672=6123

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Identify the fifth number in the series: 122, 144, 166, 188, ?





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





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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

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What pair comes next in the following sequence 99, 90, 83, 78, ...





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





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Solution


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





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Solution


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





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





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





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What is the next number in each of the following 3 sequences?
8    17    33     67     133     ?    (1)
7    23    67     203   607     ?    (2)
6    27    105   423   1689   ?    (3)





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Which number replaces the question mark?
3, 6, 18, 72, ?, 432





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What comes next in the sequence?

2, 6, 12, 20, 30,





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





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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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Which number replaces the question mark?
4, 9, 16, 25, ?, 49





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Solution



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