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10 Questions MCQ Test - Test: Mathematical Operations

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Test: Mathematical Operations - Question 1

If ‘<’ means ‘minus’, ‘>’ means ‘plus’, ‘=’ means ‘multiplied by’ and ‘$’ means ‘divided by’ then what would be the value of 35 > 63 $ 7 < 4?

Detailed Solution for Test: Mathematical Operations - Question 1

35 + 63 ÷ 7 - 4

⇒ 35 + 9 - 4

⇒ 40.

Hence, the option B is correct.

Test: Mathematical Operations - Question 2

If P denotes ‘+’, Q denotes ‘–‘, R denotes ‘×’ and S denotes ‘÷’, then which of the following statement is correct ?

Detailed Solution for Test: Mathematical Operations - Question 2

= 8 × 8 + 8 ÷ 8 – 8

= 8 × 8 + (8/8) – 8

= 64 +1 – 8 = 57.

Test: Mathematical Operations - Question 3

If ‘+’ means ‘divided by’, ‘-‘ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 17 ÷ 11 – 12 + 6?

Detailed Solution for Test: Mathematical Operations - Question 3

17 × 11 + 12 ÷ 6

⇒ 187 + 2

⇒ 189.

Hence, the option A is correct.

Test: Mathematical Operations - Question 4

If ‘+’ stands for multiplication, ‘<’ stands for division, ‘÷’ stands for subtraction, ‘–’ stands for addition, and ‘×’ stands for greater than, identify which expression is correct:

Detailed Solution for Test: Mathematical Operations - Question 4

a) 20 – 40 + 4 + 8 × 2000

  • Transforms to: 20 + 40 × 4 × 8 > 2000

  • Compute LHS: 40 × 4 = 160; 160 × 8 = 1280; 20 + 1280 = 1300

  • Check: 1300 > 2000 → false

 

b) 9 × 10 + 4 < 8 ÷ 3 - 1

Using the rules: + → ×, < → ÷, ÷ → −, – → +, × → >
Transforms to: 9 > 10 × 4 − 8 − 3 + 1

Compute RHS:
10 × 4 = 40 → 40 − 8 = 32 → 32 − 3 = 29 → 29 + 1 = 30

Check: 9 > 30 → false

(c) 20 < 2 + 10 ÷ 4 – 6 × 100
= (20 ÷ 2 × 10 − 4 + 6) > 100
= (10 × 10 − 4 + 6) > 100
= (100 − 4 + 6) > 100
= 102 > 100 → true

(d) 18 < 5 + 12 ÷ 4 – 2 × 50
= (18 ÷ 5 × 12 − 4 + 2) > 50
= (3.6 × 12 − 4 + 2) > 50
= (43.2 − 4 + 2) > 50
= 41.2 > 50 → false

 

Test: Mathematical Operations - Question 5

If $ means +, # means –, @ means × and  * means ÷, then what is the value of 12 $ 6 @ 8 # 65 * 5?

Detailed Solution for Test: Mathematical Operations - Question 5

12 + 6 × 8 - 65 ÷ 5

⇒ 12 + 48 - 13

⇒ 60 - 13

⇒ 47.

Hence, the option C is correct.

Test: Mathematical Operations - Question 6

If ‘+’ means ‘÷’, ‘–‘ means ‘×’, ‘×’ means ‘+‘, ‘÷’ means ‘– ‘,  given the value of 45 + 9 – 3 × 15 ÷ 2.

Detailed Solution for Test: Mathematical Operations - Question 6

45 ÷ 9 × 3 + 15 – 2.

= 5 × 3 + 15 – 2.

= 15 + 15 – 2 = 28.

Test: Mathematical Operations - Question 7

If ÷ means ×, × means +, + means – and – means ÷, find the value of 19 × 3 + 7 – 2 ÷ 6.

Detailed Solution for Test: Mathematical Operations - Question 7

19 + 3 - 7 ÷ 2 × 6

Hence, the option A is correct.

Test: Mathematical Operations - Question 8

If ‘–‘ stands for ‘÷’, ‘+’ stands for ‘×’, ‘÷’ stand for ‘–‘ and ‘×’ stands for ‘+’, which one of the following question is correct?

Detailed Solution for Test: Mathematical Operations - Question 8

30 ÷ 6 × 5 + 4 – 2 = 27

→ 5 × 5 + 4 – 2 = 27.

→ 29 – 2 = 27.

→ 27 = 27.

Test: Mathematical Operations - Question 9

If ‘R’ stands for ‘–‘, ‘A’ stands for ‘+’, ‘B’ stands for ‘÷’ and ‘C’ stands for ‘×’, then what is the value of the given equation ?(BODMAS rule will not be applicable).

25 A 37 C 2 B 4 R 1 = ?

Detailed Solution for Test: Mathematical Operations - Question 9

Here’s the step-by-step, strictly left-to-right (no precedence):

  1. 25 A 37 becomes 25 + 37 = 62

  2. 62 C 2 becomes 62 × 2 = 124

  3. 124 B 4 becomes 124 ÷ 4 = 31

  4. 31 R 1 becomes 31 – 1 = 30

Test: Mathematical Operations - Question 10

If + means –, – means ×, ÷ means + and × means ÷, then 12 – 4 + 9 × 3 ÷ 3 = ?

Detailed Solution for Test: Mathematical Operations - Question 10

12 × 4 - 9 ÷ 3 + 3

⇒ 48 - 3 + 3
 
⇒ 48.

Hence, the option B is correct.

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