Mathematical Operations
1. If ‘R’ denotes ‘÷’, ‘T’ denotes ‘−‘, ‘M’ denote3s ‘+’ and ‘W; denotes ‘×’, then
27 T I 5 R 3 W 4 M 6 = ?
(1) 7
(2) 13
(3) −23
(4) 1
(5) None of these
2. If ‘R’ denotes ‘−‘, ‘Q’ denotes ‘×’, ‘W’ denotes ‘÷’ and ‘A’ denotes ‘+’, then
42 W 7 R 8 A 6 Q 4 = ?
(1) −22
(2) −168
(3) 22
(4) 28
(5) None of these
3. If ‘R’ denotes ‘divided by’, ‘T’ denotes ‘added to’ ‘W’ denotes ‘subtracted from’ and ‘B’ denotes ‘multiplied by’, then
15 W 12 T 8 R 2 B 6 = ?
(1) 11/12
(2) 2/3
(3) 27
(4) 3
(5) None of these
4. If ‘÷’ means ‘+’, ‘−‘ means ‘×’, ‘+’ means ‘−‘ and ‘×’ means ‘÷’, then
14 – 4 × 7 ÷ 12 + 8 = ?
(1) 20
(2) 12
(3) 
(4) 8
(5) None of these
Directions (Q. Nos. 5 to 7) In the following questions, the symbols @, ©, %, $ and ⋆ are used with the following meanings illustrated.
‘P © Q’ means ‘P is not greater than Q’.
‘P * Q’ means ‘P is not smaller than Q’.
‘P % Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither smaller than nor equal to Q’.
‘P @ Q’ means ‘P is neither greater than nor smaller than Q’.
In each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is/are definitely true.
5. Statements J $ D, D © K, K % R
Conclusions
I. R $ J II. R $ D III. K $ J
(1) None is true
(2) Only I is true
(3) Only II is true
(4) Only III is true
(5) Only II and III are true
6. Statements M * K, K @ R, R % N
Conclusions
I. R % M II. R @ M III. N $ K
(1) Only I is true
(2) Only II is true
(3) Only III is true
(4) Either I or II is true
(5) Only Either I or II and III are true
7. Statements B % H, H $ J, J ⋆ M
Conclusions
I. B % J II. M % B III. H $ M
(1) None is true
(2) Only I is true
(3) Only II is true
(4) Only III is true
(5) Only II and III are true
8. If ‘+’ means ‘subtracted from’, ‘×’ means ‘added to’, ‘÷’ means ‘multiplied by’ and ‘−‘ means ‘divided by’, then 15 + 6 ÷ 4 – 8 × 5 = ?
(1) 12
(2) 23
(3) 
(4) 17
(5) None of these
9. If ‘P’ denotes ‘multiplied by’, ‘R’ denotes ‘added to’, ‘T’ denotes ‘subtracted from’ and ‘W’ denotes ‘divided by’, then 64 W 4 P 8 T 6 R 4 = ?
(1) 96
(2) 
(3) 130
(4) 126
(5) None of these
Directions (Q. Nos. 10 to 15) In the following questions, the symbols, $, %, @, © and ⋆ are used with the following meanings as illustrated below.
‘P % Q’ means ‘P is not smaller than Q’.
‘P $ Q’ means ‘P is not greater than Q’.
‘P ⋆ Q’ means ‘P is neither greater than nor equal to Q’,
‘P © Q’ means ‘P is neither smaller than nor equal to Q’.
‘P @ Q’ means ‘P is neither greater than nor smaller than Q’.
10. Statements J © M, M ⋆ K, K % D
Conclusions
I. J © D II. D ⋆ M III. K © J
(1) None is true
(2) Only I is true
(3) Only II is true
(4) Only III is true
(5) Only I and II are true
11. Statements R @ K, K $ F, F ⋆ N
Conclusions
I. N © R II. F @ R III. F © R
(1) Only I is true
(2) Either II or III is true
(3) Only I and either II or III are true
(4) Only III is true
(5) None of the above
12. Statements R $ D, D @ N, N © F
Conclusions
I. F ⋆ D II. F ⋆ R III. N % R
(1) Only I and II are true
(2) Only I and III are true
(3) Only II and III are true
(4) All are true
(5) None of these
13. Statements H ⋆ T, T $ B, B © R
Conclusions
I. R © H II. B © H III. T ⋆ R
(1) Only I is true
(2) Only I and II are true
(3) Only I and III are true
(4) Only II and III are true
(5) None of these
14. Statements M % D, D ⋆ K, K $ N
Conclusions
I. K © M II. N © D III. M © N
(1) Only I is true
(2) Only II is true
(3) Only III is true
(4) Only I and II are true
(5) None of these
15. Statements F $ B, B @ H, H % K
Conclusions
I. B % F, II. K @ F III. K $ B
(1) Only I is true
(2) Only II is true
(3) Only III is true
(4) Only I and III are true
(5) None of the above
16. If ‘M’ denotes ‘÷’, ‘K’ denotes ‘−‘, ‘T’ denotes ‘×’ and ‘R’ denotes ‘+’, then
20 K 16 T 8 M 4 R 6 = ?
(1) 18
(2) −6
(3) −12
(4) −18
(5) None of these
Directions (Q. Nos. 17 to 20) The symbols @, #, $ % and © are used with different meanings as follows.
‘A @ B’ means ‘A is smaller than B’.
‘A # B’ means ‘A is not smaller than B’.
‘A $ B’ means ‘A is neither smaller than nor greater than B’.
‘A % B’ means ‘A is greater than B’.
‘A © B’ means ‘A is not greater than B’.
In each of the following questions, assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.
Give answer (1) if only conclusion I is true.
Give answer (2) if only conclusion II is true.
Give answer (3) if either conclusion I or conclusion II is true.
Give answer (4) if neither conclusion I nor conclusion II is true.
Give answer (5) if both conclusions I and II are true.
17. Statements F # H, H % K, K $ R, R © M
Conclusions I. F % R, II. F # M
18. Statements L @ D, D © P, P #V, V % G
Conclusions I. P % L II. G @ P
19. Statements E % W, W © Q, Q $ T, T @ H
Conclusions I. H # W II. H # E
20. Statements J © T, T @ H, H % I, I $ L
Conclusions I. L © H II. J © I
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