Coded Mathematical Operations Reasoning Questions

Mathematical Operations Type II: Coded Mathematical Operations

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Directions (Q.1-4): ‘∆’ means ‘is equal to’, ‘□’ means ‘is not equal to’, ‘+’ means ‘is greater than’, ‘–’ means ‘is less than’, ‘×’ means ‘is not greater than’, ‘÷’ means ‘is not less than’; a – b – c implies:

a – b + c

b + a – c

c × b + a

b + a ÷ c

Directions (Q.1-4): ‘∆’ means ‘is equal to’, ‘□’ means ‘is not equal to’, ‘+’ means ‘is greater than’, ‘–’ means ‘is less than’, ‘×’ means ‘is not greater than’, ‘÷’ means ‘is not less than’; a + b ÷ c implies:

b – c – a

c – b + a

c + b – a

c × b ÷ a

Directions (Q.1-4): ‘∆’ means ‘is equal to’, ‘□’ means ‘is not equal to’, ‘+’ means ‘is greater than’, ‘–’ means ‘is less than’, ‘×’ means ‘is not greater than’, ‘÷’ means ‘is not less than’; a × b ÷ c implies that:

a – b + c

c × b ÷ a

a □ b □ c

b ÷ a ÷ c

Directions (Q.1-4): ‘∆’ means ‘is equal to’, ‘□’ means ‘is not equal to’, ‘+’ means ‘is greater than’, ‘–’ means ‘is less than’, ‘×’ means ‘is not greater than’, ‘÷’ means ‘is not less than’; a + b + c does not imply:

b – b + c

c – b – a

c – a + b

b – a –c

Directions (Q.5-9): ∆ = greater than, + = not greater than, θ = equal to, φ = not equal to, × = less than, □ = not less than; a × b θ c implies that:

a □ c θ b

b × a □ c

c □ b + a

a φ b □ c

Directions (Q.5-9): ∆ = greater than, + = not greater than, θ = equal to, φ = not equal to, × = less than, □ = not less than; a □ b ∆ c implies that:

a + □ b ∆ c

a × b – c

a ∆ b × c

a + b × c

Directions (Q.5-9): ∆ = greater than, + = not greater than, θ = equal to, φ = not equal to, × = less than, □ = not less than; a ∆ b ∆ c does not imply:

b + a ∆ c

b ∆ a θ c

c + b φ a

c + b × a

Directions (Q.5-9): ∆ = greater than, + = not greater than, θ = equal to, φ = not equal to, × = less than, □ = not less than; a × b θ c does not mean:

a ∆ b φ c

a + b θ c

a φ b θ c

b θ c □ a

Directions (Q.5-9): ∆ = greater than, + = not greater than, θ = equal to, φ = not equal to, × = less than, □ = not less than; c + b × a means:

a × b θ c

c ∆ b ∆ a

c × b × a

b θ c ∆ a

Directions (Q.10-11): Different alphabets stand for various symbols as indicated below:

Addition : O, Subtraction : M, Multiplication : A, Division : Q, Equal to : X, Greater than : Y, Less than : Z. Which one of the following alternatives is correct ?

1 O 1 Q 1 M 1 Y 3 Q 1

2 Q 1 O 2 A 1 Z 6 A 4

3 O 2 O 10 Q 2 X 10 A 2

5 Q 5 A 5 O 5 Y A 2

Directions (Q.10-11): Different alphabets stand for various symbols as indicated below:

Addition : O, Subtraction : M, Multiplication : A, Division : Q, Equal to : X, Greater than : Y, Less than : Z. Which one of the following alternatives is correct ?

32 X 8 Q 2 A 3 Q 1 A 2

10 X 2 A 3 A 2 M 2 Q 1

2 Y 1 A 1 Q 1 O 1 A 1

16 Y 8 A 3 O 1 A 2 M 2

Directions (Q.12-16): ‘A @ B’ means ‘A is added to S’. ‘A * B’ means ‘A is multiplied by B’. ‘M # B’ means ‘A is divided By B’. ‘A $ B’ means ‘B is subtracted from A’. Find out which expression correctly represents the statement.

Total age of 12 boys is ‘X’ and the total age of 13 girls is ‘Y’. What is the average age (A) of all the boys and girls together?

A = (X@Y) # 25

A = (X$Y) # 25

A = (X@Y) * 25

Cannot be determined

None of these.

Directions (Q.12-16): ‘A @ B’ means ‘A is added to S’. ‘A * B’ means ‘A is multiplied by B’. ‘M # B’ means ‘A is divided By B’. ‘A $ B’ means ‘B is subtracted from A’. Find out which expression correctly represents the statement.

Population of state M (P1) is less than half of population of state N (P2) by 1,50,000.

P2 = (P1 # 2) $ 1,50,000

P1 = (P2 # 2) @ 1,50,000

P1 = (P2 # 2) $ 1,50,000

P2 = (P1 # 2) @ 1,50,000

None of these

Directions (Q.12-16): ‘A @ B’ means ‘A is added to S’. ‘A * B’ means ‘A is multiplied by B’. ‘M # B’ means ‘A is divided By B’. ‘A $ B’ means ‘B is subtracted from A’. Find out which expression correctly represents the statement.

Number of boys (B) in a class is equal to one-fourth of three times the number of girls (G) in the class.

B = (3 # G) * 4

B = (3 * G) @ 4

B = (3 * G) # 4

B = (3 $ G) # 4

Directions (Q.12-16): ‘A @ B’ means ‘A is added to S’. ‘A * B’ means ‘A is multiplied by B’. ‘M # B’ means ‘A is divided By B’. ‘A $ B’ means ‘B is subtracted from A’. Find out which expression correctly represents the statement.

Salary of Mr. X (S1) is more than 40% of Mr. Y’s salary (S1) by Rs 8,000

S1=[S2 * (40 @ 100)] # 8,000

S1=[S2 * (40 # 100)] @ 8,000

S2=[S1 * (40 # 100)] @ 8,000

S2=[S1 * (40 @ 100)] # 8,000

Directions (Q.12-16): ‘A @ B’ means ‘A is added to S’. ‘A * B’ means ‘A is multiplied by B’. ‘M # B’ means ‘A is divided By B’. ‘A $ B’ means ‘B is subtracted from A’. Find out which expression correctly represents the statement.

Marks obtained by Sujit in History (H) are 85% of his marks obtained in Science (M).

H = (100 # 85) * M

H = 85 * 100 * M

H = 85 # 100 # M

H = (85 # 100) * M

If ‘L’ denotes ‘÷’, ‘M’ denotes ‘×’, ‘P’ denotes ‘+’ and ‘Q’ denotes ‘–’, then which of the following statements is true?

32 P 8 L 16 Q 4 = – ³⁄₂

6 M 18 Q 26 L 13 P 7 = ¹⁷³⁄₁₃

11 m 34 L 17 Q 8 L 3 = ³⁸⁄₃

9 P 9 L 9 Q 9 M 9 = – 71

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

36 R 4 S 8 Q 7 P 4 = 10

16 R 12 P 49 S 7 Q 9 = 200

32 S 8 R 9 = 160 Q 12 R 12

8 R 8 P 8 S 8 Q 8 = 57

Which one of the four interchanges in signs and numbers would make the given equation correct ?3 + 5 – 2= 0

+ and –, 2 and 3

+ and –, 2 and 5

+ and – , 3 and 5

None of these

If the given interchanges namely : signs ‘+’ and ‘÷’ and numbers ‘2’ and ‘4’ are made in signs and numbers, which one of the following four equations would be correct?

2 + 4 ÷ 3 = 3

4 + 2 ÷ 6 = 1.5

4 ÷ 2 + 3 = 4

2 + 4 ÷ 6 = 8.

It being given that : ‘>’ denotes ‘+’, ‘<’ denotes ‘–’, ‘+’ denotes ‘÷’, ‘–’ denotes ‘=’, ‘=’ denotes ‘less than’ and ‘×’ denotes ‘greater than’; find which of the following is a correct statement:

3 + 2 > 4 = 9 + 3 < 1

3 > 2 > 4 = 18 + 3 < 2

3 > 2 < 4 × 8 + 4 < 2

3 + 2 < 4 × 9 + 3 < 3

If ‘×’ stands for ‘addition’, ‘<’ for ‘subtraction’, ‘+’ stands for ‘division’, ‘>’ for ‘multiplication’, ‘–’ stands for ‘equal to’, ‘÷’ for ‘greater than’ and ‘=’ stands for ‘less than’; state which of the following is true?

3 × 2 < 4 ÷ 16 > 2 + 4

5 > 2 + 2 = 10 < 4 × 2

3 × 4 > 2 – 9 + 3 < 3

5 × 3 < 7 ÷ 8 + 4 × 1

If ‘→’ stands for ‘addition’, ‘←’ stands for ‘subtraction’, ‘↑’ stands for ‘division’, ‘↓’ stands for ‘multiplication’, ‘↗’ stands for ‘equal to’; then which of the following alternatives is correct?

7 ← 4 3 ↑ 6 ↓ 1 ↗ 4

3 ↓ 6 ↑ 2 → 3 ← 6 ↗ 5

5 → 7 ← 3 ↑ 2 ↗ 5

2 ↓ 5 ← 6 → 2 ↗ 6

Of ‘x’ Stands for ‘addition’, ‘z’ for ‘subtraction’, ‘+’ for ‘division’, ‘>’ for ‘multiplication’, ‘–’ for ‘equal to’, ‘+’ for ‘greater than’ and ‘=’ for ‘less than’; state which of the following is true.?

3 x 4 > 2 – 9 + 3 < 3

5 x 3 < 7 ÷ 8 + 4 x 1

5 > 2 + 2 = 10 < 4 x 8

3 x 2 < 4 ÷ 16 > 2 + 4

It being given that ‘x’ denotes ‘greater than’, ‘φ’ denote ‘equal to’, ‘<’ denotes ‘not less than’, ‘⊥’ denotes ‘not equal to’, ‘∆’ denotes ‘less than’ and ‘+’ denotes ‘not greater than’; then choose the correct statement from the following if a x b ∆ c, it follows that:

a φ ∆ b

b < a × c

a < b + c

b < a φ c

If A + D > C + E, C + D = 2B and B + E > C + D, it necessarily follows that

A + B > 2D

B + D > C + E

A + D > B + E

A + D > B + C

If A + D = B + C, A + E = C + D, 2C < A + E and 2A > B + D, then

A > B > C > D > E

B > A > D > C > E

D > B > C > A > E

B > C > D > E > A

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