Mathematical Operations problems
- 1. 16 7 25
m 23 22
If 'm' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 132
- B. 88
- C. 122
- D. 78 Discuss
Correct Answer:
Explanation:
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
- 2. 97 45 71
48 8 11
What is the sum of the resultants of the two rows?
Options- A. 68
- B. 19
- C. 147
- D. 64 Discuss
Correct Answer: 68
Explanation:
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 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
- 3. 125 64 33
282 x 39
If 'x' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 45
- B. 42
- C. 39
- D. 36 Discuss
Correct Answer: 42
Explanation:
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 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
- 4. 24 7 81
x 27 19
If 'x' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 87
- B. 114
- C. 4
- D. 6 Discuss
Correct Answer: 6
Explanation:
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 24 7 81 ? 24 x 7 = 168 [rule (ii)]
? 168 - 81 = 87 [rule (iv)]
= x
2nd Row x 27 19 ? 87 27 19
? 87 + 27 = 114 [rule (iii)]
? 114 ÷ 19 = 6 [rule (v)]
? Resultant of second row = 6
- 5. If 'P' means '+', 'Q' means 'x', 'R' means '÷' and 'S' means '-', then
44 Q 9 R 12 S 6 Q 4 P 16 =?
Options- A. 36
- B. 124
- C. 25
- D. 112 Discuss
Correct Answer: 25
Explanation:
After replacing all the symbol from question.
44 x 9 ÷ 12 - 6 x 4 + 16 = ?
Apply BODMAS rule,
? 44 x 9 x 1/12 - 24 + 16 = ?
? 33 - 24 + 16 = ?
? 49 - 24 = ?
? ? = 25
- 6. Which of the following interchange of signs would make the given equation correct?
5 + 3 x 8 - 12 ÷ 4 = 3
Options- A. + and ÷
- B. + and -
- C. - and ÷
- D. + and x Discuss
Correct Answer: - and ÷
Explanation:
Apply All option one by one
5 + 3 x 8 - 12 ÷ 4 = 3
Now, after changing the sign for option C
5 + 3 x 8 ÷ 12 - 4 = 3
Apply the BODMAS Rule
5 + 3 x 8/12 - 4 = 3
5 + 2 - 4 = 3
3 = 3
- 7. If P denotes '÷', Q denotes 'x', R denotes '+' and S denotes '-' then
18 Q 12 P 4 R 5 S 6 =?
Options- A. 95
- B. 53
- C. 51
- D. 57 Discuss
Correct Answer: 53
Explanation:
Given Question is 18 Q 12 P 4 R 5 S 6
After changing the letters in to signs as per given in the question, we have
18 x 12 ÷ 4 + 5 - 6 ,
Apply the BODMAS Rule,
? 18 x 12/4 + 5 - 6
? 18 x 3 + 5 - 6
? 54 + 5 - 6
? 59 - 6 = 53
- 8. If '-' stands for 'addition', '÷' for 'multiplication', 'x' for 'subtraction' and '+' for 'division', then which of the following is correct?
Options- A. 25 x 12 -14 ÷ 4 + 6 = 16
- B. 25 - 12 + 14 ÷ 2 x 4 = 15
- C. 25 - 15 + 5 ÷ 4 x 16 = 21
- D. 25 + 11 - 4 ÷ 10 x 6 = 20 Discuss
Correct Answer: 25 - 15 + 5 ÷ 4 x 16 = 21
Explanation:
Solve All option one by one.
After changing the Sign.
25 + 15 ÷ 5 x 4 - 16 = 21
Apply the BODMAS Rule,
? 25 + 3 x 4 - 16 = 21
? 25 + 12 - 16 = 21
? 37 - 16 = 21
? 21 = 21
- 9. If A for '+', M for 'x', D for '÷', G for '>', L for '<', then which of the following will be logically correct?
Options- A. 4A 5D 3G 6A 2M 3
- B. 4A 5M 4L 6D 2A 8
- C. 4D 2A 4G 6D 2A 4
- D. 4A 3M 2L 4D 2M 6 Discuss
Correct Answer: 4A 3M 2L 4D 2M 6
Explanation:
Solve all option one by one.
Change the symbol in given question.
From option (D),
4 A 3 M 2 L 4 D 2 M 6
4 + 3 X 2 < 4 ÷ 2 x 6
Apply the BODMAS Rule.
10 < 12
- 10. If the mathematical signs interchange from - to +, + to ÷. x to - and ÷ to x, then find out the correct answer of the given equation
6 ÷ 8 + 2 x 5 - 8 =?
Options- A. 27
- B. 18
- C. 32
- D. 28 Discuss
Correct Answer: 27
Explanation:
Interchange the symbol as per given in question.
6 ÷ 8 + 2 x 5 - 8
After changing the sign
= 6 x 8 ÷ 2 - 5 + 8
Apply the BODMAS Rule.
= 6 x 4 - 5 + 8
= 24 - 5 + 8 = 32 - 5 = 27
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