Olympiad Test: Mathematical Operations
15 Questions MCQ Test Science Olympiad Class 9 | Olympiad Test: Mathematical Operations
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If A denotes multiplication, B denotes addition, C denotes division and D denotes subtraction, then what is the value of 14 A 6 B 8 C 2 D 12?
Here, 14 A 6 B 8 C 2 D 12
= 14 × 6 + 8 ÷ 2 – 12
= 14 × 6 + 4 – 12
= 84 + 4 – 12
= 88 – 12 = 76
If × denotes –; ÷ denotes +, + denotes ÷ and – denotes ×, which one of the following equation is correct?
(a) 15 – 5 ÷ 5 × 20 + 10 = 6
15 × 5 + 5 – 20 ÷ 10 = 6
15 × 5 + 5 – 2 = 6
78 ≠ 6
(b) 8 ÷ 10 – 3 + 5 × 6 = 8
8 + 10 × 3 ÷ 5 – 6 = 8
8 + 6 – 6 = 8
8 = 8
Hence (b) is true.
If P means ×, R means +, T means ÷, S means –, then what is the value of 8 P 4 R 28 T 7 S 15?
Given 8 P 4 R 28 T 7 S 15
= 8 × 4 + 28 ÷ 7 – 15 = 8 × 4 + 4 – 15
= 32 + 4 – 15 = 36 – 15 = 21
If numbers 3 and 6 are interchanged and signs – and × are interchanged then which of the following is correct?
Given 3 × 6 – 4 = 6 – 3 × 4
= 6 – 12 = – 6 ≠ 33
6 × 3 – 4 = 3 – 6 × 4 = 3 – 24 = – 21 ≠ 15
3 – 6 × 8 = 6 × 3 – 8 = 18 – 8 = 10 = 10
∴ (c) is correct.
If A stands for +, B stands for –, C stands for ×. Then what is the value of (10 C 4) A (4 C 4) B 6?
We have (10 C 4) A (4 C 4) B 6
= (10 × 4) + (4 × 4) – 6
= 40 + 16 – 6 = 56 – 6 = 50
If A + B = 2C & C + D = 2A then which of the following is correct?
Here A + B = 2C …(1)
C + D = 2A …(2)
Adding (1) and (2)
A + B + C + D = 2C + 2A
B + D = C + A
If L stands for +, M stands for –, N stands for × and P stands for ÷ then what is the value of 37 N 10 L 65 P 13 M 16?
Here 37 N 10 L 65 P 13 M 16
= 37 × 10 + 65 ÷ 13 – 16
= 37 × 10 + 5 – 16 = 370 + 5 – 16
= 370 – 11 = 359
If P stands for addition, L for division, M for subtraction and Z for multiplication then what is the value of 182 P 117 L 13 M 7 Z 16?
Here 182 P 117 L 13 M 7 Z 16
= 182 + 117 ÷ 13 – 7 × 16
= 182 + 9 – 7 × 16
= 182 + 9 – 112 = 70 + 9 = 79
If × stands for addition, ‘–’ for division, ÷ for subtraction & ‘+’ for multiplication. Then which of the following statement is correct?
4 × 5 + 9 – 3 ÷ 4 = 15
= 4 + 5 × 9 ÷ 3 – 4
= 4 + 5 × 3 – 4
= 4 + 15 – 4
= 15 = 15
∴ (d) is correct.
If ‘<’ stands for minus, ‘–’ stands for equal to ‘>’ stands for multiplication, ‘÷’ stands for greater than, ‘×’ for addition, ‘+’ stands for division, ‘=’ stands for less than then which of the following statement is correct?
Let 5 > 2 × 1 – 3 > 4 < 1
⇒ 5 × 2 + 1 = 3 × 4 – 1
⇒ 11 = 12 – 1
⇒ 11 = 11
Direction: If > denotes +, + denotes ÷, – denotes =, × denotes > and = denotes <, < denotes – and ↑ denotes × then choose the correct statement in each of the following problems :
Let 35 > 3 < 2 = 4 > 8 ↑ 7
⇒ 35 + 3 – 2 < 4 + 8 × 7
⇒ 35 + 1 < 4 + 56
⇒ 36 < 60
∴ (a) is correct.
Direction: If > denotes +, + denotes ÷, – denotes =, × denotes > and = denotes <, < denotes – and ↑ denotes × then choose the correct statement in each of the following problems :
Let 4 > 6 + 2 × 32 + 4 < 1
4 + 6 ÷ 2 > 32 ÷ 4 – 1
4 + 3 > 8 – 1
7 = 7
Direction: In these question the different alphabets stand for various arithmetical and logical symbols. We have to choose the correct alternative according to given letter symbols.
Let 5 Y 4 N 3 C 5 N 3 H 11
⇒ 5 < 4 × 3 + 5 × 3 – 11
⇒ 5 < 12 + 15 – 11
⇒ 5 < 16
Direction: In these question the different alphabets stand for various arithmetical and logical symbols. We have to choose the correct alternative according to given letter symbols.
Here 6 P 3 C 4 N 3 Y 7 N 3
⇒ 6 ÷ 3 + 4 × 3 < 7 × 3
⇒ 2 + 4 × 3 < 21
⇒ 2 + 12 < 21
⇒ 14 < 21
Direction: In these question the different alphabets stand for various arithmetical and logical symbols. We have to choose the correct alternative according to given letter symbols.
Here
14 C 13 P 13 N 6 H 5 W 2 C 12 P 3 N 2
⇒ 14 + 13 ÷ 13 × 6 – 5 > 2 + 12 ÷ 3 × 2
⇒ 14 + 1 × 6 – 5 > 2 + 4 × 2
⇒ 20 – 5 > 2 + 8
⇒ 15 > 10
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