Question 1

24 15 3 d 6 15 If 'd' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (odd number) + (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 24 15 3 ⇒ 24 + 15 = 39 [rule (ii)] ⇒ 39 ÷ 3 = 13 [rule (iv)] = d 2nd Row d 6 15 ⇒ 13 6 15 ⇒ 13 - 6 = 7 [rule (v)] ⇒ 7 + 15 = 22 [rule (i)] ∴ Resultant of second row = 22

Question 2

28 49 15 h 3 12 If 'h' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (odd number) + (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 28 49 15 ⇒ 49 - 28 = 21 [rule (iii)] ⇒ 21 + 15 = 36 [rule (i)] = h 2nd Row h 3 12 ⇒ 36 6 12 ⇒ 36 + 3 = 39 [rule (ii)] ⇒ 39 - 12 = 27 [rule (v)] ∴ Resultant of second row = 27

Question 3

36 15 3 12 3 n If 'n' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

Rules (i) (odd number) + (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 36 15 3 ⇒ 36 + 15 = 51 [rule (ii)] ⇒ 51 ÷ 3 = 17 [rule (iv)] = n 2nd Row 12 3 n ⇒ 12 3 17 ⇒ 12 + 3 = 15 [rule (ii)] ⇒ 15 ÷ 17 = 15/17 [rule (iv)] ∴ Resultant of second row = 15/17

Question 4

58 17 5 85 5 n If 'n' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

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 58 17 5 ⇒ 58 + 17 = 75 [rule (ii)] ⇒ 75 ÷ 5 = 15 [rule (iv)] = n 2nd Row 85 5 n ⇒ 85 5 15 ⇒ 85 ÷ 5 = 17 [rule (iv)] ⇒ 17 x 15 = 255 [rule (i)] ∴ Resultant of second row = 255

Question 5

24 64 15 m 11 15 If 'm' is the resultant of the first row, what is the resultant of the second row?

Accepted Answer

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 24 64 15 ⇒ 64 - 24 = 40 [rule (iii)] ⇒ 40 + 15 = 55 [rule (ii)] = m 2nd Row m 11 15 ⇒ 55 11 15 ⇒ 55 ÷ 11 = 5 [rule (iv)] ⇒ 5 x 15 = 75 [rule (i)] ∴ Resultant of second row = 75

Question 6

7 21 3 d 7 33 If 'd' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

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

Question 7

73 34 13 32 p 15 If 'p' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

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

Question 8

14 5 9 24 w 88 If 'w' is the resultant of the first row, what will be the resultant of the second row?

Accepted Answer

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

Question 9

84 14 13 360 24 17 What is the difference between the resultant of the first row and the second row?

Accepted Answer

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

Question 10

If '+' mean '-', '-' means 'x', 'x' means '÷' and '÷' means '+', then value of 16 x 2 ÷ 25 + 7 - 4 is

Accepted Answer

16 x 2 ÷ 25 + 7 - 4 = 16 ÷ 2 + 25 - 7 x 4 = 8 + 25 - 28 = 25 - 20 = 5

Question 11

If '-' stands for '÷', '+' stands for 'x', '÷' stands for '-' and 'x' stands for '+', find out which one is correct?

Accepted Answer

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

Question 12

Select the correct combination of mathematical signs to replace '*' signs and to balance the following equation. 6 * 4 * 12 * 12

Accepted Answer

6 * 4 * 12 * 12 From option (d), 6 x 4 - 12 = 12 ⇒ 12 = 12

Question 13

If 'x' stands for '+', '<' for '-', '+' for ' ÷', '>' for 'x', '-' for '=', ' ÷' for '>' and '=' for '<', then state which of the following is true?

Accepted Answer

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.

Question 14

If '-' stands for '÷', '+' stands for '-', '÷' stands for 'x', 'x' stands for '+', then which one of the following equation is correct?

Accepted Answer

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

Question 15

If '+' means '÷', '-' means '+', 'x' means '-' and '÷' means 'x', then what is the value of 24 ÷ 12 - 18 + 9?

Accepted Answer

Using the proper symbols, we have 24 ÷ 12 - 8 + 9 Now Apply the BODMAS Rule, = 24 x 12 + 18 ÷ 9 = 288 + 2 = 290

Question 16

if 'R' means '÷', 'Q' means 'x', 'P' means '+', then 1 8 R 9 P 2 Q 8 =?

Accepted Answer

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

Question 17

3 - 9 x 27 + 9 ÷ 3 = 3

Accepted Answer

If we interchange 'x' and '-' , the equation changes into 3 x 9 - 27 + 9 ÷ 3 = 27 - 27 + 3 = 3

Question 18

4 x 2 + 6 ÷ 2 - 12 = 2

Accepted Answer

If we interchanges signs '÷' and 'x', then the equation changes into 4 ÷ 2 + 6 x 2 - 12 = 2 + 12 - 12 - 2

Question 19

5 x 15 ÷ 7 - 20 + 4 = 77

Accepted Answer

If we interchanges signs '+' and '÷', then the equation changes into 5 x 15 + 7 - 20 ÷ 4 = 5 x 15 + 7 - 5 = 77

Question 20

16 - 21 ÷ 7 x 6 + 3 = 31

Accepted Answer

If we interchange of signs '+' and 'x', then the equation changes into 16 - 21 ÷ 7 + 6 x 3 = 16 - 3 + 18 = 31

Mathematical Operations Questions