Question

# Q7. If ☆ means 'x', Δ means `÷', ǿ means ‘+’, Φ means ‘-’, ‡ means ‘=’, ‘∂’ means 'greater than' and ♥ means 'less than’, then which one of the following is a correct relationship?

A

(a) 10 ☆ 3 ‡ 7 Φ 4 Δ 2 ǿ 5 ☆ 5

B

(b) 10 ☆ 3 ‡ 15 Δ 3 ǿ 5 Φ 7 ǿ 9 ☆ 2

C

(c) 10 ǿ 7 Φ 5 ♥ 9 Δ 3 ǿ 4 Δ 2 Φ 8 ☆ 2

D

(d) 10 Φ 4 ☆ 8 Δ 4 ǿ 7 ∂ 8 ☆ 2 ǿ 5

Solution

## The correct option is A (a) 10 ☆ 3 ‡ 7 Φ 4 Δ 2 ǿ 5 ☆ 5 In place of normal symbols of arithmetic statements fancy symbols have been used. So the easiest way to solve would consist in taking answer choices one by one to see if the particular answer choice makes a correct mathematical statement. (a) Is 10 x 3=7 - 4 ÷ 2+5 x 5? LHS = 30 RHS = 7 — 2 + 25 = 30 Hence (a) is correct. (b) Is 10 x 3=15 ÷3 + 5 - 7+9 x 2? RHS=5 +5 — 7+18=21 Hence not correct. (c) Is 10 + 7 - 5 < 9 ÷ 3 + 4 ÷ 2 — 8 x 2? LHS = 12, RHS = —11 Hence not correct. (d) Is 10 — 4 x 8 ÷ 4 + 7 > 8 x 2 + 5? LHS = 9, RHS = 21 Hence not correct.

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