6 * 4 * 12 * 12
From option (d),
6 x 4 - 12 = 12
? 12 = 12
From option (b),
49 - 7 + 3 ÷ 5 x 8 = 24
Change the sign, as per the question,
49 ÷ 7 x 3 - 5 + 8 = 24
? 7 x 3 - 5 + 8 = 24
? 21 - 5 + 8 = 24
? 24 = 24
16 x 2 ÷ 25 + 7 - 4
= 16 ÷ 2 + 25 - 7 x 4
= 8 + 25 - 28
= 25 - 20 = 5
Rules
(i) (2-digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3-digit number) - (2-digit perfect square number)
(v) (3-digit number) ÷ (2-digit non-perfect square number)
Solution
1st Row 84 14 13 ? 84 ÷ 14 = 6 [rule (i)]
? 6 x 13 = 78 [rule (ii)]
2nd Row 360 24 17 ? 360 ÷ 24 = 15 [rule (v)]
? 15 + 17 = 32 [rule (iii)]
? Resultant difference = 78 - 32 = 46
Rules
(i) (Odd number) x (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 14 5 9 ? 14 + 5 = 19 [rule (ii)]
? 19 x 9 = 171 [rule (i)]
= w
2nd Row 24 w 88 ? 24 171 88
? 24 + 171 = 195 [rule (ii)]
? 195 - 88 = 107 [rule (v)]
? Resultant of second row = 107
Rules
(i) (Odd number) x (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 73 34 13 ? 73 - 34 = 39 [rule (v)]
? 39 ÷ 13 = 3 = p [rule (iv)]
2nd Row 32 p 15 ? 32 3 15
? 32 + 3 = 35 [rule (ii)]
? 35 x 15 = 255 [rule (i)]
? Resultant of second row = 525
Using the proper symbols in (c), we get
5 x 2 ÷ 2 < 10 - 4 + 8
? 5 x 1 < 18 - 4 ? 5 < 14
which is true.
Change the proper sign according to question and try all option one by one by applying the BODMAS Rule.
'-' ? ÷
'+' ? '-'
÷ ? 'x'
'x' ? '+'
? 70 ÷ 2 - 4 x 5 + 6 = 21
? 35 - 20 + 6 = 21
? 15 + 6 = 21
? 21 = 21
Using the proper symbols, we have
24 ÷ 12 - 8 + 9
Now Apply the BODMAS Rule,
= 24 x 12 + 18 ÷ 9
= 288 + 2 = 290
Using the correct symbols, we have
1 8 R 9 P 2 Q 8
= 18 ÷ 9 + 2 x 8
= 2 + 2 x 8 = 2 + 16 = 18
If we interchange 'x' and '-' , the equation changes into
3 x 9 - 27 + 9 ÷ 3 = 27 - 27 + 3 = 3
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