Mathematical operation and symbol notation Moderate Questions and Answers

Mathematical operation and symbol notation

Direction: In the following information question, the symbols @, ©, S, % and are used with the following meaning as illustrated below:
'P © Q' means 'P is either greater than or equal to Q'.
'P % Q' means 'P is either smallest than or equal to Q'.
'P @ Q' means 'P is neither smallest than nor greater to than Q'.
'P S Q' means 'P is smallest than Q'.
'P δ Q' means 'P is greater than Q'.
Now each of the following questions assuming the given statement to be true, find which of the three conclusions I and II given below them is are definitely true.

Statements:
B @ N, N © T, T S K
Conclusions:
I. T @ B II. T S B

B = N ...(i) N ≥ T ...(ii) T > K ...(iii)
From (i) and (ii) B = N ≥ T or T ≤ B,
Hence I either (T = B) or II (T < B) follows

Correct Option: C

B = N ...(i) N ≥ T ...(ii) T > K ...(iii)
From (i) and (ii) B = N ≥ T or T ≤ B,
Hence I either (T = B) or II (T < B) follows

Statements:
H © T, T % M, M δ F
Conclusions:
I. F S T II. H δ M

H ≥ T ...(i) T ≤ M ...(ii) M > F ...(iii)
From (i) and (ii) H and M can't be compared. Hence II does not follow
From (ii) and (iii) F and T can't be compared. Hence I does not follow

Correct Option: D

H ≥ T ...(i) T ≤ M ...(ii) M > F ...(iii)
From (i) and (ii) H and M can't be compared. Hence II does not follow
From (ii) and (iii) F and T can't be compared. Hence I does not follow

If 'P' means '+', 'Q' means 'x', 'R' means '÷' and 'S' means '-', then
44 Q 9 R 12 S 6 Q 4 P 16 = ?

After replacing all the symbol from question.
44 x 9 ÷ 12 - 6 x 4 + 16 = ?
Apply BODMAS rule,
⇒ 44 x 9 x 1/12 - 24 + 16 = ?

Correct Option: C

After replacing all the symbol from question.
44 x 9 ÷ 12 - 6 x 4 + 16 = ?
Apply BODMAS rule,
⇒ 44 x 9 x 1/12 - 24 + 16 = ?
⇒ 33 - 24 + 16 = ?
⇒ 49 - 24 = ?
∴ ? = 25

Select the correct combination of mathematical signs to replace '*' signs and to balance the given equation.
24 * 34 * 2 * 5 * 12

From option (c),
24 = 34 ÷ 2 - 5 + 12
⇒ 24 = 17 - 5 + 12
⇒ 24 = 29 - 5
→ 24 = 24

Correct Option: C

From option (c),
24 = 34 ÷ 2 - 5 + 12
⇒ 24 = 17 - 5 + 12
⇒ 24 = 29 - 5
→ 24 = 24

If A means '-' , B means '+', C means 'x', and D means '÷' then 32 D 4 B 7 C 2 A 6

After replacing the sign according to the question
32 D 4 B 7 C 2 A 6
= 32 ÷ 4 + 7 x 2 - 6 = 8 + 7 x 2 - 6

Correct Option: D

32 D 4 B 7 C 2 A 6
= 32 ÷ 4 + 7 x 2 - 6 = 8 + 7 x 2 - 6
= 8 + 14 - 6 = 22 - 6 = 16