Practice Questions
Concept Explanation
Missing number items (IndiaBIX / Infosys-style LR) show a grid, triangle, cross, or magic square with one blank. Unlike plain number series, the rule ties to position: row sum, column product, opposite corners, or parent = sum of children.
Patterns you will see
- Magic square: every row, column and diagonal has the same sum (often 15 for 3Γ3).
- Triangle / pyramid: each upper cell equals the sum of the two cells below it.
- Cross / diamond: vertical sum equals horizontal sum through the centre.
- Matrix rules: middle = average of neighbours; last = first Γ second; third = second β first.
- Embedded mini-series: one row listed as 1, 4, 9, 16, ? (squares).
How to solve fast
- State the rule in one line (e.g. βeach row sums to 20β) before calculating.
- Check rows first, then columns; diagonals last for magic squares.
- Do not import a series formula from another row unless the grid shows the same rule twice.
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Q1 EasyFind ? in the 3Γ3 magic square (each row, column and diagonal sums to 15):
8 1 6
3 5 7
4 ? 2Explanation4 + ? + 2 = 15 β ? = 9. -
Q2 EasyMagic square (sum 15). Top row: ? , 2 , 7 . Middle: 9 , 5 , 1 . Find ?Explanation? + 2 + 7 = 15 β ? = 6.
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Q3 EasyMagic square (sum 15). Row 1: 2 , 7 , 6 . Row 2: 9 , ? , 1 . Find ?Explanation9 + ? + 1 = 15 β ? = 5.
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Q4 EasyTriangle:
?
9 11
4 5 6Explanation? = 9 + 11 = 20. -
Q5 EasyTriangle:
13
5 8
2 3 ?Explanation8 = 3 + ? β ? = 5. -
Q6 EasyCross:
9
2 ? 5
1Explanation9 + 1 = 2 + ? + 5 β ? = 3. -
Q7 Easy2Γ2 grid β each row sums to 10:
1 9
7 ?Explanation7 + ? = 10 β ? = 3. -
Q8 Easy2Γ2 grid β each row sums to 12:
5 7
4 ?Explanation4 + ? = 12 β ? = 8. -
Q9 Easy3Γ3 grid β each row: last number = first Γ second:
2 3 ?
4 5 20
1 6 6ExplanationRow 1: 2 Γ 3 = 6. -
Q10 EasySame product rule on rows:
3 4 ?
2 5 10
6 1 6Explanation3 Γ 4 = 12.
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Q11 EasyFind ? in the row: 5 , 10 , 15 , ? , 25ExplanationAdd 5 each step β 20.
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Q12 EasyGrid row: 3 , 6 , 12 , 24 , ?ExplanationEach term doubles β 48.
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Q13 EasyGrid row: 1 , 4 , 9 , 16 , ?ExplanationPerfect squares β 25.
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Q14 EasyRectangular box: top + bottom = left + right. Top 12, bottom 6, left 8, right ?Explanation12 + 6 = 8 + ? β ? = 10.
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Q15 EasyRectangular box: top 15, bottom 5, left 9, right ?Explanation15 + 5 = 9 + ? β ? = 11.
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Q16 EasyRows sum to 18:
5 6 7
4 8 6
9 2 ?Explanation9 + 2 + ? = 18 β ? = 7. -
Q17 EasyGrid difference row rule:
4 9 ?
6 10 4
8 12 4Explanation9 β 4 = 5. -
Q18 EasyStar pattern: three numbers through the centre sum to 24. Line: 7 , ? , 11 . Find ?Explanation7 + ? + 11 = 24 β ? = 6.
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Q19 EasyStar line sum 27: 8 , ? , 12 . Find ?Explanation8 + ? + 12 = 27 β ? = 7.
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Q20 EasyColumn product 36:
3 2 ?
4 3 3
(? Γ 3 = 36)Explanation? = 12.
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Q21 EasySame row rule:
15 9 6
10 6 4
20 12 ?Explanation20 = 12 + ? β ? = 8. -
Q22 EasyNumber wheel: opposite pairs sum to 20. If one pair is 7 and 13, the pair opposite is 9 and ?Explanation9 + ? = 20 β ? = 11.
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Q23 MediumTriangle (upper = sum of two below):
20
8 12
3 ? 7Explanation8 = 3 + ? β ? = 5. -
Q24 MediumCross β top + bottom = sum across middle row:
7
4 ? 2
3Explanation7 + 3 = 4 + ? + 2 β ? = 4. -
Q25 MediumMatrix β middle entry is the average of left and right on the same row:
4 6 8
10 ? 14
16 18 20Explanation(10 + 14) Γ· 2 = 12. -
Q26 MediumMatrix average rule:
2 5 8
6 ? 12
10 17 24Explanation(6 + 12) Γ· 2 = 9. -
Q27 Medium2Γ2 β sum of opposite corners is equal:
3 8
? 5
(3 + 5 = 8 + ?)Explanation8 + ? = 8 β ? = 0. -
Q28 MediumDiamond β top + bottom = left + right:
10
5 ? 3
4Explanation10 + 4 = 5 + ? β ? = 9. -
Q29 MediumGrid β each column: bottom = top + middle:
2 5 1
3 4 6
? 9 7ExplanationCol 1: ? = 2 + 3 = 5. -
Q30 MediumColumn sum rule:
4 1 3
2 6 5
? 7 8ExplanationCol 1: ? = 4 + 2 = 6.
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Q31 MediumCircle triple: centre equals half the sum of outer three. Outer: 6 , 8 , 10 . Centre ?Explanation(6 + 8 + 10) Γ· 2 = 12.
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Q32 MediumCircle triple: outer 4 , 9 , 11 . Centre ?Explanation(4 + 9 + 11) Γ· 2 = 12.
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Q33 Medium3Γ3 β rows sum to 20:
6 7 7
8 6 6
6 7 ?ExplanationRow 3: 6 + 7 + ? = 20 β ? = 7. -
Q34 MediumGrid difference: third = second β first in each row:
5 8 ?
3 7 4
2 9 7ExplanationRow 1: 8 β 5 = 3. -
Q35 Medium2Γ3 grid β column 3 product is 24:
2 4 ?
6 1 4
(? Γ 4 = 24 in column 3)Explanation? = 6. -
Q36 MediumEach row: first = second + third:
12 6 9
8 4 6
4 2 ?Explanation4 = 2 + ? β ? = 2. -
Q37 Medium3Γ3 magic square (sum 15). Missing centre of bottom row:
2 9 4
7 5 3
6 ? 8Explanation6 + ? + 8 = 15 β ? = 1. -
Q38 MediumGrid β each column sums to 15:
4 3 8
5 6 4
6 ? 3ExplanationCol 2: 3 + 6 + ? = 15 β ? = 6. -
Q39 HardPascal-style grid: each cell = sum of cell above + cell to the left (first row/col given):
1 2 3
2 4 5
3 5 ?ExplanationBottom-right: 5 + 3 = 8. -
Q40 Hard2Γ2 β both diagonals sum to 13:
? 5
7 6
Find ? (on diagonal with 6)Explanation? + 6 = 13 β ? = 7.