Divide and add all numbers.
As, 264/2 = 132 ? 1 + 3 + 2 = 6
? 870/3 = 290 ? 2 + 9 + 0 = 11
Similarly, 735/5 = 147 ? 1 + 4 + 7 = 12
Let us check all the options one-by-one.
From option (a),
7 - 4 x 8 x 2 = 24 (using VBODMAS rule)
? 7 - 64 = 24 ? -57 = 24
? LHS ? RHS ? RHS
So, option (a) is incorrect.
From option (b),
7 - 4 x 8 ÷ 2 = 24 (using VBODMAS rule)
? 7 - 4 x 8 ÷ 2 = 24 (using VBODMAS rule)
? 7 - 4 x 4 = 24 ? 7 - 16 = 24
? -9 = 24 ? LHS ? RHS
So, option (b) is incorrect .
From option (c),
7 x 4 - 8 ÷ 2 = 24 (using VBODMAS rule)
? 7 x 4 - 4 = 24 ? 28 - 4 = 24
? 24 = 24 ? LHS = RHS
So, option (c) is correct and hence, there is no need to check option (d).
Here, Right number - Left number = Middle number
As, 43 - 16 = 27, 48 - 36 = 12
similarly, 56 - 29 = 27
? ? = 27
? 40 B 8 T 6 M 3 K 4 = ?
? 40 ÷ 8 - 6 + 3 x 4 = ?
? 5 - 6 + 12 = ?
? 17 - 6 = ?
? ? = 11
32 D 4 B 7 C 2 A 6
= 32 ÷ 4 + 7 x 2 - 6 = 8 + 7 x 2 - 6
= 8 + 14 - 6 = 22 - 6 = 16
From option (c),
24 = 34 ÷ 2 - 5 + 12
? 24 = 17 - 5 + 12
? 24 = 29 - 5
? 24 = 24
Rules
(i) (2-digit odd number) + (2-digit odd number)
(ii) 2-digit even number ? 2-digit perfect square odd number then, (odd number) - (Even number)
(iii) (3-digit number) ÷ (2-digit number)
(iv) (Prime number) + (Even number)
(v) (Even number) x (Even number)
Solution:
1st Row 23 15 12 ? 23 + 15 = 38
[rule (i)] ? 38 x 12 = 456 [rule (v)]
2nd Row X 24 49 ? 456 24 49
? 456 ÷ 24 = 19 [rule (iii)] ? 19 + 49 = 68 [rule (i)]
? Resultant of second row = 68
Rules
(i) (2-digit odd number) + (2-digit odd number)
(ii) 2-digit even number ? 2-digit perfect square odd number then, (odd number) - (Even number)
(iii) (3-digit number) ÷ (2-digit number)
(iv) (Prime number) + (Even number)
(v) (Even number) x (Even number)
Solution:
1st Row 37 12 21 ? 37 + 12 = 49 [rule (iv)]
? 49 + 21 = 70 [rule (i)]
2nd Row 38 81 14 ? 81 - 38 = 43 [rule (ii)]
? 43 + 14 = 57 [rule (iv)]
? Required difference = 70 - 57 = 13
Rules
(i) (2-digit odd number) + (2-digit odd number)
(ii) 2-digit even number ? 2-digit perfect square odd number then, (odd number) - (Even number)
(iii) (3-digit number) ÷ (2-digit number)
(iv) (Prime number) + (Even number)
(v) (Even number) x (Even number)
Solution:
1st Row 16 8 32 ? 16 x B = 128 [rule (v)]
? 128 ÷ 32 = 4 [rule (iii)]
X
2nd Row 132 11 X2 ? 132 11 16
? 132 ÷ 11 = 12 [rule (iii)]
? 12 x 16 = 192 [rule (v)]
? Resultant of second row = 192
Rules
(i) (2-digit odd number) + (2-digit odd number)
(ii) 2-digit even number ? 2-digit perfect square odd number then, (odd number) - (Even number)
(iii) (3-digit number) ÷ (2-digit number)
(iv) (Prime number) + (Even number)
(v) (Even number) x (Even number)
Solution:
2nd Row 45 17 81 ? 45 + 17 = 62 [rule (i)]
? 81 - 62 = 19 [rule (ii)]
1st Row 345 23 X ? 345 23 19
? 345 ÷ 23 = 15 [rule (iii)]
? 345 ÷ 15 + 19 [rule (i)]
? Resultant of first row = 34
Rules
(i) (2-digit odd number) + (2-digit odd number)
(ii) 2-digit even number ? 2-digit perfect square odd number then, (odd number) - (Even number)
(iii) (3-digit number) ÷ (2-digit number)
(iv) (Prime number) + (Even number)
(v) (Even number) x (Even number)
Solution:
1st Row 12 28 84 ? 12 x 28 = 336 [rule (v)]
? 336 ÷ 84 = 4 [rule (iii)]
2nd Row 37 22 18 ? 37 + 22 = 59 [rule (iv)]
? 59 + 18 = 77 [rule (iv)]
? Required sum = 4 + 77 = 81
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