Mathematical operation and symbol notation
 7 21 3
d 7 33
If 'd' is the resultant of the first row, what will be the resultant of the second row ?

 40
 138
 231
 80
 None of the above

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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)
Hint
1st Row 7 21 3 ⇒ 7 x 21 = 147 [rule (i)]Correct Option: C
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 7 21 3 ⇒ 7 x 21 = 147 [rule (i)]
⇒ 147 ÷ 3 = 49 = d [rule (iv)]
2nd Row d 7 33 ⇒ 49 7 33
⇒ 49 ÷ 7 = 7 [rule (iv)]
⇒ 7 x 33 = 231 [rule (i)]
∴ Resultant of second row = 231
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 an odd number is followed by another composite odd number, they are to be multiplied.
(ii) If an even number is followed by an odd number, they are to be added.
(iii) If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square.
(iv) if an odd number is followed by a prime odd number, the first number is to be divided by the second number.
(v) If an odd number is followed by an even number, the second one is to be subtracted from the first one.
 73 34 13
32 p 15
If 'p' is the resultant of the first row, what will be the resultant of the second row ?

 713
 50
 20
 525
 None of these

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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)
Hint
1st Row 73 34 13 ⇒ 73  34 = 39 [rule (v)]Correct Option: D
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
 14 5 9
24 w 88
If 'w' is the resultant of the first row, what will be the resultant of the second row ?

 171
 283
 195
 107
 None of these

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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)
Hint
1st Row 14 5 9 ⇒ 14 + 5 = 19 [rule (ii)]Correct Option: D
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
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.
 84 14 13
360 24 17
What is the difference between the resultant of the first row and the second row ?

 100
 46
 56
 90
 None of these

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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 84 14 13 ⇒ 84 ÷ 14 = 6 [rule (i)]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 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
 If '+' mean '', '' means 'x', 'x' means '÷' and '÷' means '+', then value of 16 x 2 ÷ 25 + 7  4 is

 104
 5
 22
 4

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16 x 2 ÷ 25 + 7  4
= 16 ÷ 2 + 25  7 x 4
Correct Option: B
16 x 2 ÷ 25 + 7  4
= 16 ÷ 2 + 25  7 x 4
= 8 + 25  28
= 25  20 = 5