Q1. If × stands for -, ÷ stands for +, + stands for ÷ and - stands for ×, which one of the following equations is correct?
(a) 15 - 5 ÷ 5 × 20 + 16 = 6
(b) 8 ÷ 10 - 3 + 5 × 6 = 8
(c) 6 × 2 + 3 ÷ 12 - 3 = 15
(d) 3 ÷ 7 - 5 × 10 + 3 = 10
Q2. If ‘<’ means ‘minus’, ‘>’ means ‘plus’, ‘=’ means ‘multiplied by’ and ‘$’ means ‘divided by’, then what would be the value of 27 > 81 $ 9 < 6?
(a) 32
(b) 33
(c) 36
(d) None of these
Q3. If × means ÷, - means ×, ÷ means + and + means -, then (3 - 15 ÷ 19) × 8 + 6 = ?
(a) -1
(b) 2
(c) -2
(d) 4
Q4. If Q means ‘add to’, J means ‘multiply by’, T means ‘subtract from’ and K means ‘divide by’, then 30 K 2 Q 3 J 6 T 5 = ?
(a) 10
(b) 28
(c) 30
(d) 41
Q5. If ‘-’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction’ and ‘×’ for ‘addition’, which one of the following equations is correct?
(a) 6 + 20 - 12 ÷ 7 - 1 = 38
(b) 6 - 20 ÷ 12 × 7 + 1 = 57
(c) 6 + 20 - 12 ÷ 7 × 1 = 62
(d) 6 ÷ 20 × 12 + 7 - 1 = 70
Q6. If L denotes ÷, M denotes ×, P denotes + and Q denotes -, then which of the following statements is true?
(a) 32 P 8 L 16 Q 4 =-2/3
(b) 6 M 18 Q 26 L 13 P 7 =173/13
(c) 11 M 34 L 17 Q 8 L 3 =38/3
(d) 9 P 9 L 9 Q 9 M 9 = -71
Q7. Which one of the four interchanges in signs and numbers would make the given equation correct?
3 + 5 – 2 = 4
(a) + and –, 2 and 3
(b) + and –, 2 and 5
(c) + and –, 3 and 5
(d) None of these
Directions (8): In this question, ∆ means ‘is greater than’, % means ‘is lesser than’, ⃞ means ‘is equal to’, = means ‘is not equal to’, + means ‘is a little more than’, × means ‘is a little less than’. Choose the correct alternative.
Q8. If a ∆ b and b + c, then
(a) a % c
(b) c % a
(c) c + a
(d) Can’t say
Directions (9-10): In each of the following questions, the Greek letters standing for arithmetical operations are given. Find the relationship which can definitely be deduced from the two relationships given at the top.
Operations: α is ‘greater than’, β is ‘less than’, γ is ‘not greater than’, δ is ‘not less than’, θ is ‘equal to’.
Q9. If A α 2C and 2A θ 3B, then
(a) C β B
(b) C δ B
(c) C α B
(d) C θ B
Q10. If B θ 2C and 3C γ A, then
(a) B δ 2A
(b) B θ A
(c) 3B α 2A
(d) B β A
Directions (11): In this question, α stands for ‘equal to’; β for ‘greater than’; γ for ‘less than’ and δ for ‘not equal to’.
Q11. If 6x α 5y and 2y β 3z, then
(a) 2x β 3z
(b) 4x β 3z
(c) 2x γ z
(d) 4x α 3z
Directions (12): In this question, if the given interchanges are made in signs and numbers, which one of the four equations would be correct?
Q12. Given interchanges : Signs + and - and number 4 and 8
(a) 4 ÷ 8 - 12 = 16
(b) 4 - 8 + 12 = 0
(c) 8 ÷ 4 - 12 = 24
(d) 8 - 4 ÷ 12 = 8
Q13. If ÷ implies =, × implies <, + implies >, - implies ×, > implies ÷, < implies +, = implies -, identify the correct expression.
(a) 1 - 3 > 2 + 1 - 5 = 3 - 1 < 2
(b) 1 - 3 > 2 + 1 × 5 = 3 × 1 > 2
(c) 1 × 3 > 2 + 1 × 5 × 3 - 1 > 2
(d) 1 - 3 > 2 + 1 × 5 + 3 - 1 > 2
Q14. If > denotes +, < denotes -, + denotes ÷, - denotes =, = denotes ‘less than’ and × denotes ‘greater than’, find which of the following is a correct statement.
(a) 3 + 2 > 4 = 9 + 3 < 2
(b) 3 > 2 > 4 = 18 + 3 < 1
(c) 3 > 2 < 4 × 8 + 4 < 2
(d) 3 + 2 < 4 × 9 + 3 < 3
Q15. If + means ×, × means -, ÷ means + and - means ÷, then which of the following gives the result of 175 - 25 ÷ 5 + 20 × 3 + 10?
(a) 77
(b) 260
(c) 88
(d) 137
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