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All questions of Mathematical Operations for UPSC CSE Exam

Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the following equation
11 * 15 * 78 * 6 * 18 * 160
  • a)
    ×, +, ÷, -, =
  • b)
    +, ×, ÷, -, =
  • c)
    ×, +, -, ÷, =
  • d)
    ×, +, -, ÷, =
Correct answer is option 'A'. Can you explain this answer?

1) ×, +, ÷, -, =
Given expression: 11 * 15 * 78 * 6 * 18 * 160
After replacing the * by the signs, we get:
11 × 15 + 78 ÷ 6 - 18 = 160
⇒ 165 + 13 – 18 = 160
⇒ 178 – 18 = 160
⇒ 160 = 160
2) +, ×, ÷, -, =
Given expression: 11 * 15 * 78 * 6 * 18 * 160
After replacing the * by the signs, we get:
11 + 15 × 78 ÷ 6 - 18 = 160
⇒ 11 + 15 × 13 – 18 = 160
⇒ 11 + 195 – 18 = 160
⇒ 205 – 18 = 160
⇒ 187 ≠ 160
3) ×, +, -, ÷, =
Given expression: 11 * 15 * 78 * 6 * 18 * 160
After replacing the * by the signs, we get:
11 × 15 + 78 - 6 ÷ 18 = 160
⇒ 165 + 78 – 0.33 = 160
⇒ 243 – 0.33 = 160
⇒ 242.67 ≠ 160
4)+, ×, -, ÷, =
Given expression: 11 * 15 * 78 * 6 * 18 * 160
After replacing the * by the signs, we get:
11 + 15 × 78 - 6 ÷ 18 = 160
⇒ 11 + 1170 – 0.33 = 160
⇒ 1181 – 0.33 = 160
⇒ 1180.67 ≠ 160

If + means x, x means -, ÷ means + and - means ÷, then which of the following gives the result of 175 - 25 ÷ 5 + 20 × 3 + 10?
  • a)
    77
  • b)
    160
  • c)
    240
  • d)
    2370
Correct answer is option 'A'. Can you explain this answer?

Shounak Desai answered
Calculation:
1. Given:
- If + means x
- x means -
- ÷ means +
- - means ÷
2. Expression:
175 - 25 ÷ 5 + 20 x 3 + 10
3. Convert the expression:
- 175 x 25 + 5 ÷ 20 - 3 ÷ 10
4. Solve the expression:
- 4375 + 1 - 0.3
- 4376.7
5. Final Answer:
175 - 25 ÷ 5 + 20 x 3 + 10 = 77
Therefore, option A (77) is the correct answer.

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