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Test: Mathematical Operations - 1 - UPSC MCQ


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10 Questions MCQ Test - Test: Mathematical Operations - 1

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Test: Mathematical Operations - 1 - Question 1

In the given question if + means -, × means /, - means + and / means × then find out the answer of the following question.

23 + 7 - 7 + 8 + 4 - 6

Detailed Solution for Test: Mathematical Operations - 1 - Question 1

23 - 7 + 7 - 8 - 4 + 6 = 17. So option C Is correct.

Test: Mathematical Operations - 1 - Question 2

Directions for questions − If
‘+’ = ’×’
‘-‘ = ’+’
‘×’ = ’/’
’/’ = ‘-‘
Then answer the following questions based on this information
7/1 - 3 × 3 + 2 =

Detailed Solution for Test: Mathematical Operations - 1 - Question 2
  • So the expression
    7 / 1 – 3 × 3 + 2

    becomes
    7 – 1 + 3 / 3 × 2

    Now evaluate using standard order of operations (division and multiplication first, then addition and subtraction left to right):

  • 3 / 3 = 1

  • 1 × 2 = 2

  • 7 – 1 = 6

  • 6 + 2 = 8

  • Answer: 8 (option b)

Test: Mathematical Operations - 1 - Question 3

Find out the two signs to be interchanged for making the equation correct
5+3×8−12÷4=3

Detailed Solution for Test: Mathematical Operations - 1 - Question 3

On interchanging − and ÷, we get the equation as
5+3×8÷12−4=3
or 5+3×2/3−4=3
or 3 = 3, which is true.

Test: Mathematical Operations - 1 - Question 4

If + means -, × means /, - means + and / means × then find out the answer of the following question.
77 - 78 - 107

Detailed Solution for Test: Mathematical Operations - 1 - Question 4

77 + 78 + 107 = 262.

Test: Mathematical Operations - 1 - Question 5

Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the following equation

11 * 15 * 78 * 6 * 18 * 160

Detailed Solution for Test: Mathematical Operations - 1 - Question 5

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

Test: Mathematical Operations - 1 - Question 6

Find out the two signs to be interchanged for making the equation correct
53 - 3 × 3/53 + 53 = 53

Detailed Solution for Test: Mathematical Operations - 1 - Question 6

First, evaluate the original equation:

  • 3 × 3 / 53 = 9 / 53 (multiplication and division from left to right)
  • 53 - 9 / 53 + 53
  • 9 / 53 ≈ 0.1698
  • 53 - 0.1698 + 53 ≈ 105.8302
  • This does not equal 53, so the equation is incorrect as is.

Now, test each option by interchanging the signs:

a) Interchange / and +:

  • Original: 53 - 3 × 3 / 53 + 53
  • New: 53 - 3 × 3 + 53 / 53
  • 3 × 3 = 9
  • 53 / 53 = 1
  • 53 - 9 + 1
  • 53 - 9 = 44
  • 44 + 1 = 45
  • 45 ≠ 53

b) Interchange / and + (same as a, likely a typo in options):

  • Same as above, result is 45 ≠ 53

c) Interchange / and ×:

  • Original: 53 - 3 × 3 / 53 + 53
  • New: 53 - 3 / 3 × 53 + 53
  • 3 / 3 = 1
  • 1 × 53 = 53
  • 53 - 53 + 53
  • 53 - 53 = 0
  • 0 + 53 = 53
  • 53 = 53

This matches the equation.

d) None of the above: Not applicable since c) works.

Test: Mathematical Operations - 1 - Question 7

Find out the two signs to be interchanged for making the equation correct
50/50 + 50 × 50 - 50 = 50

Detailed Solution for Test: Mathematical Operations - 1 - Question 7

By making changes as suggested in option d, we will get the solution as given on the RHS side.

Test: Mathematical Operations - 1 - Question 8

If 0 is to be replaced by 1, 1 is replaced by 2……. 7 is replaced by 8 and 8 is replaced by 9 and 9 is replaced by 0. Then answer the following question.
1234 + 5678

Detailed Solution for Test: Mathematical Operations - 1 - Question 8

By changing the numbers, we get 2345 + 6789 = 9134.

Test: Mathematical Operations - 1 - Question 9

If + means -, × means /, - means + and / means × then find out the answer of the following question.
(130 × 13) × 5 - 10

Detailed Solution for Test: Mathematical Operations - 1 - Question 9

(130/13) /5 + 10 = 10/5 + 10 = 2 + 10 = 12

Test: Mathematical Operations - 1 - Question 10

In the given question if + means -, × means /, - means + and / means × then find out the answer of the following question.

67 + 45 - 4 + 7

Detailed Solution for Test: Mathematical Operations - 1 - Question 10

67 - 45 + 4 - 7 = 19.

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