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 two-digit odd number is followed by a two-digit odd number, they are to be added
(ii) if a two-digit 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 three-digit number is followed by a two-digit 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.
- 37 12 21
38 81 14
What is the difference between the resultants of the two rows ?
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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)Correct Option: C
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
- 16 8 32
132 11 X2
If X is the resultant of the first row, what is the resultant of the second row ?
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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)Correct Option: A
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
- 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) (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)Correct Option: D
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
- 12 28 84
37 22 18
What is the sum of the resultant of the two rows ?
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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)Correct Option: E
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
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 two-digit 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 three-digit number is followed by a two-digit number which is a perfect square, the second number is to be subtracted from the first number.
(v) If a three-digit number is followed by a two-digit 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) (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)
Hint
1st Row 16 7 25 ⇒ 16 x 7 = 112 [rule (ii)]Correct Option: E
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 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
