Mathematical Operations problems
- 1. Statements:
B @ N, N © T, T S K
Conclusions:
I. T @ B II. T S B
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or II is true
- D. if neither conclusion I nor II is true Discuss
Correct Answer: if either conclusion I or II is true
Explanation:
B = N ...(i) N ? T ...(ii) T > K ...(iii)
From (i) and (ii) B = N ? T or T ? B,
Hence I either (T = B) or II (T < B) follows
- 2. Statements:
H © T, T % M, M ? F
Conclusions:
I. F S T II. H ? M
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or II is true
- D. if neither conclusion I nor II is true Discuss
Correct Answer: if neither conclusion I nor II is true
Explanation:
H ? T ...(i) T ? M ...(ii) M > F ...(iii)
From (i) and (ii) H and M can't be compared. Hence II does not follow
From (ii) and (iii) F and T can't be compared. Hence I does not follow
- 3. Which one of the four interchange in signs or numbers would make the given equation correct?
6 x 4 + 2 = 16
Options- A. + and x, and 4
- B. + and x, 2 and 4
- C. + and x, 4 and 6
- D. None of these Discuss
Correct Answer: + and x, 4 and 6
Explanation:
Apply all option one by one.
? 6 x 4 + 2 = 16 ? 4 + 6 x 2 = 16 ? 4 + 12 = 16
- 4. Select the correct combination of mathematical sign to replace * signs and to balance the given equation.
15 * 24 * 3 * 6 * 17
Options- A. + ÷ - =
- B. + x = ÷
- C. - x = +
- D. - ÷ + = Discuss
Correct Answer: + ÷ - =
Explanation:
Given equation ? 15 * 24 * 3 * 6 * 17
From option (a), substitute the signs
15 + 24 ÷ 3 - 6 = 17
? 15 + 24/3 - 6 = 17
? 15 + 8 - 6 = 17
? 23 - 6 = 17
? 17 = 17
- 5. If 2 3 ÷ 4 = 2, 4 4 ÷ 8 = 32, then what will be the value of 6 2 ÷ 4?
Options- A. 9
- B. 10
- C. 8
- D. 12 Discuss
Correct Answer: 9
Explanation:
(2)3 ÷ 4 = 2, (4)4 ÷ 8 = 32
Therefore, (6)2 ÷ 4 = 9
- 6. If 2 & 6 % 7 = 33, 4 & 6 % 8 = 54, then what will be the value of 6 % 8 & 9?
Options- A. 95
- B. 77
- C. 99
- D. None of these Discuss
Correct Answer: 95
Explanation:
Here sign '&' does not convey any meaning and sign '%' signifies '+'
26 + 7 = 33, 46 + 8 = 54
Therefore, 6 + 89 = 95
- 7. If 879 = 9, 625 = 1 and 586 = 9, then 785 =?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
Correct Answer: 6
Explanation:
879 ? (7 + 9) - 8 = 8
625 ? (2 + 5) - 6 = 1
and 586 ? (8 + 6) - 5 = 9
Similarly, 785 ? (8 + 5) - 7 = 6
- 8. If given, 12 (169) 5, 4 (20) 2 and 1 (26) 5, then 7 (?) 3
Options- A. 78
- B. 68
- C. 58
- D. 36 Discuss
Correct Answer: 58
Explanation:
As, 122 + 5 2 ? 144 + 25 = 169
42 + 22 ? 16 + 4 = 20
and 12 + 52 ? 1 + 25 = 26
Similarly,
72 + 32 = 49 + 9 = 58
- 9. Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
5 * 6 * 5 * 8 * 14
Options- A. + - x =
- B. x ÷ + =
- C. ÷ x = -
- D. + x - ÷ Discuss
Correct Answer: x ÷ + =
Explanation:
Solve the equation by using option one by one.
5 * 6 * 5 * 8 * 14
From option (b),
After changing the symbol as per question,
5 x 6 ÷ 5 + 8 = 14
Apply the BODMAS Rule,
? 5 x 6/5 + 8 = 14
? 14 = 14
- 10. If '-' mean 'x', 'x' means '+', '+' means '÷' and '÷' means '-', then
40 x 12 + 3 - 6 ÷ 60 =?
Options- A. 44
- B. 16
- C. 7.95
- D. 4 Discuss
Correct Answer: 4
Explanation:
Given question is,
40 x 12 + 3 - 6 ÷ 60
According to the question, putting the real values of signs,
40 + 12 ÷ 3 x 6 - 60 = 40 + 4 x 6 - 60
Apply the BODMAS Rule
= 40 + 24 - 60 = 64 - 60 = 4
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