Mathematical operation and symbol notation
Direction: In each of the following questions two rows of number are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below of number are to be answered. The operations of number progress from left to right.
Rules
(i) if a twodigit odd number is followed by a twodigit odd number, they are to be added
(ii) if a twodigit even number is followed by a two digit odd number which is a perfect square, the even number is to be subtracted from the odd number.
(iii) If a threedigit number is followed by a twodigit number, the first number is to be divided by the second number .
(iv) if a prime number is followed by an even number, the two are to be added .
(v) If an event number is followed by another even number, the two are to be multiplied.
 345 23 X
45 17 81
It 'X' is the resultant of the second row, what is the resultant of the first row ?

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Rules
(i) (2digit odd number) + (2digit odd number)
(ii) 2digit even number → 2digit perfect square odd number then, (odd number)  (Even number)
(iii) (3digit number) ÷ (2digit number)
(iv) (Prime number) + (Even number)
(v) (Even number) x (Even number)Correct Option: D
Rules
(i) (2digit odd number) + (2digit odd number)
(ii) 2digit even number → 2digit perfect square odd number then, (odd number)  (Even number)
(iii) (3digit number) ÷ (2digit 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
 12 28 84
37 22 18
What is the sum of the resultant of the two rows ?

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Rules
(i) (2digit odd number) + (2digit odd number)
(ii) 2digit even number → 2digit perfect square odd number then, (odd number)  (Even number)
(iii) (3digit number) ÷ (2digit number)
(iv) (Prime number) + (Even number)
(v) (Even number) x (Even number)Correct Option: E
Rules
(i) (2digit odd number) + (2digit odd number)
(ii) 2digit even number → 2digit perfect square odd number then, (odd number)  (Even number)
(iii) (3digit number) ÷ (2digit 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
Direction: In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of number are to be answered. The operations of numbers progress from left to the right.
Rules
(i) If a twodigit number is followed by another even number, the first one is to be divided by the second one.
(ii) If an even number is followed by a prime number, the two are to be multiplied.
(iii) If an odd number is followed by another odd number, the two are to be added.
(iv) if a threedigit number is followed by a twodigit number which is a perfect square, the second number is to be subtracted from the first number.
(v) If a threedigit number is followed by a twodigit number which is not a perfect square, the first number is to be divided by the second one.
 16 7 25
m 23 22
If 'm' is the resultant of the first row, what will be the resultant of the second row ?

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Rules
(i) (2digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3digit number)  (2digit perfect square number)
(v) (3digit number) ÷ (2digit nonperfect square number)
Hint
1st Row 16 7 25 ⇒ 16 x 7 = 112 [rule (ii)]Correct Option: E
Rules
(i) (2digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3digit number)  (2digit perfect square number)
(v) (3digit number) ÷ (2digit nonperfect square number)
Solution
1st Row 16 7 25 ⇒ 16 x 7 = 112 [rule (ii)]
⇒ 112  25 = 87 = m [rule (iv)]
2nd Row m 23 22 ⇒ 87 23 22
⇒ 87 + 23 = 110 [rule (iii)]
⇒ 110 ÷ 22 = 5 [rule (v)]
∴ Resultant of second row = 5
 97 45 71
48 8 11
What is the sum of the resultants of the two rows ?

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Rules
(i) (2digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3digit number)  (2digit perfect square number)
(v) (3digit number) ÷ (2digit nonperfect square number)
Hint
1st Row 97 45 71 ⇒ 97 + 45 = 142 [rule (iii)]Correct Option: A
Rules
(i) (2digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3digit number)  (2digit perfect square number)
(v) (3digit number) ÷ (2digit nonperfect square number)
Solution
1st Row 97 45 71 ⇒ 97 + 45 = 142 [rule (iii)]
⇒ 142 ÷ 71 = 2 [rule (v)]
2nd Row 48 8 11 ⇒ 48 ÷ 8 = 6 [rule (i)]
⇒ 6 x 11 = 66 [rule (ii)]
∴ Required sum = 2 + 66 = 68
 125 64 33
282 x 39
If 'x' is the resultant of the first row, what will be the resultant of the second row ?

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Rules
(i) (2digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3digit number)  (2digit perfect square number)
(v) (3digit number) ÷ (2digit nonperfect square number)
Hint
1st Row 125 64 33 ⇒ 125  64 = 61 [rule (iv)]Correct Option: B
Rules
(i) (2digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3digit number)  (2digit perfect square number)
(v) (3digit number) ÷ (2digit nonperfect square number)
Solution
1st Row 125 64 33 ⇒ 125  64 = 61 [rule (iv)]
⇒ 61 + 33 = 94 [rule (iii)]
= x
2nd Row 282 x 39 ⇒ 282 94 39
⇒ 282 ÷ 94 = 3 [rule (v)]
⇒ 3 + 39 = 42 [rule (iii)]
∴ Resultant of second row = 42