Mathematical Operations problems
- 1. If '+' denotes ÷ , '-' denotes x, 'x' denotes - and '÷' denotes +, then
35 + 7 - 5 ÷ 5 x 6 =?
Options- A. 36
- B. 24
- C. 20
- D. 14 Discuss
Correct Answer: 24
Explanation:
According to the question,
35 ÷ 7 x 5 + 5 - 6 = ?
? 5 x 5 + 5 - 6 = ?
? 25 + 5 - 6 = ?
? 30 - 6 = 24
- 2. 4 - 4 = 12, 6 - 6 = 30, 2 - 2 = 2, 8 - 8 =?
Options- A. 8
- B. 38
- C. 56
- D. 16 Discuss
Correct Answer: 56
Explanation:
As, 4 - 4 ? 4 x 4 - 4 = 12
6 - 6 ? 6 x 6 - 6 = 30
2 - 2 ? 2 x 2 - 2 = 2
Similarly, 8 - 8 ? 8 x 8 - 8 = 56
- 3. 9 * 7 = 32, 13 * 7 = 120, 17 * 9 = 208, 19 * 11 =?
Options- A. 64
- B. 160
- C. 240
- D. 210 Discuss
Correct Answer: 240
Explanation:
As, 9 * 7 ? (9 + 7) (9 - 7) = 16 x2 = 32
13 * 7 ? (13 + 7) (13 - 7) = 20 x 6 = 120
17 * 9 ? (17 + 9) (17 - 9) = 26 x 8 = 208
Similarly, 19 * 11 ? (19 + 11) (19 - 11) = 30 x 8 = 240
? ? = 240
- 4. If + means ÷, - means x, x mean +, ÷ means -, then
90 + 18 - 6 x 30 ÷ 4 =?
Options- A. 64
- B. 65
- C. 56
- D. 48 Discuss
Correct Answer: 65
Explanation:
65
- 5. If + = x , - = ÷ , x = + , ÷ = - , then which is the correct equation out of the following?
Options- A. 18 ÷ 6 + 4 - 2 ÷ 3 = 22
- B. 18 + 6 - 4 x 2 ÷ 3 = 26
- C. 18 x 6 - 4 + 7 x 8 = 47
- D. 18 - 6 x 7 ÷ 2 + 8 = 63 Discuss
Correct Answer: 18 + 6 - 4 x 2 ÷ 3 = 26
Explanation:
18 + 6 - 4 x 2 ÷ 3 = 26
After chaning, the equation is
L.H.S., 18 x 6 ÷ 4 + 2 - 3
108 ÷ 4 + 2 - 3
27 + 2 - 3
29 - 3 = 26 R.H.S.
- 6. 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. ÷ + = -
- D. + x - ÷ Discuss
Correct Answer: x ÷ + =
Explanation:
5 x 6 ÷ 5 + 8 = 14
- 7. Insert the arithmetical operations in the following numerical figure-
4_3_4 = 48
Options- A. + +
- B. x +
- C. + -
- D. x x Discuss
Correct Answer: x x
Explanation:
4 x 3 x 4 = 48
- 8. Statements:
A > B > C, D > E > F, D > C
Conclusions:
I.E > C II. F > B
Options- A. If only conclusion I follows
- B. If only conclusion II follows
- C. If either conclusion I or II follows
- D. If neither conclusion I nor II follows Discuss
Correct Answer: If neither conclusion I nor II follows
Explanation:
A > B < C < D > E > F
E and C can't be compared. Hence II does not follow.
Z and J can't be compared. Hence I does not follows. Consequently II does not follows either.
- 9. Statement :
M @ J, J © R, R ? K
Conclusion :
I. K ? J II. K % J
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if either conclusion I or conclusion II is true
Explanation:
M < J ...(i) J? R ...(ii) R = K .....(iii)
From (ii) and (iii) J ? K or K ? J, .....(iv)
Hence either I (K = J) or II (K > J) follow
- 10. Statements:
V % B, B S D , D © E
Conclusions:
I. E ? B II. D @ V
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion I is true
Explanation:
V > B ...(i) B ? D ...(ii) D ? E ...(iii)
From (ii) and (iii) E and B can't be compared.
Hence I does not follows. From (i) and (iv) V > D or D < V
Hence II follows
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