**1.If ‘×’ means ‘÷’, ‘-’ means ‘×’, ‘÷’ means ‘+’ and ‘+’ means ‘-’ then**

**25 × 5 ÷ 7 + 2 = ?**

(a) 20

(b) 30

**(c) 10**

(d) 15

**Ans. (c) After changing sings according to the question, the new equation will be:**

**=25 ÷ 5 + 7 – 2 **

**=5+ 7 – 2 = 10**

**2.If ‘×’ means ‘÷’, ‘-’ means ‘×’, ‘÷’ means ‘+’ and ‘+’ means ‘-’ then**

**35 + 5 ÷ 84 × 4 + 1 = ?**

(a) 72

(b) 40

(c) 84

**(d) 50**

**Ans. (d) After changing signs according to the question, the new equation will be:**

**=35 – 5 + 84 ÷ 4 – 1**

**=30 + 21 – 1**

**=50**

**3. If ‘A’ means ‘-’, ‘B’ means ‘÷’, ‘C’ means ‘+’ and ‘D’ means ‘×’ then –**

**7 D 16 B 2 A 46 C 10 = ?**

**(a) 20**

(b) 15

(c) 65

(d) 0

**Ans. (a) After changing signs according to the question, the new equation will be:**

**=7 × 16 ÷ 2 – 46 + 10**

**=7 × 8 – 36**

**=20**

**4. If ‘-’ means ‘+’, ‘+’ means ‘-’, ‘×’ means ‘÷’ and ‘÷’ means ‘×’ then which of the following will be the correct equation?**

(a) 4728 ÷ 4 + 1000 – 8 × 2 = 198

(b) 4728 × 4 – 1000 + 8 ÷ 2 = 198

(c) 4728 + 4 × 1000 – 8 ÷ 2 = 198

**(d) 4728 × 4 + 1000 – 8 ÷ 2 = 198**

**Ans. (d) After changing signs according to the question, the new equation will be:**

**Here,**

**=4728 ÷ 4 – 1000 + 8 × 2**

**=182 – 1000 + 16**

**=182 + 16**

**=198**

**5. If ‘+’ means ‘÷’, ‘×’ means ‘-’, ‘÷’ means ‘×’ and ‘-’ means ‘+’ then**

**27 + 3 ÷ 4 – 8 × 12 = ?**

**(a) 32**

(b) 42

(c) 26

(d) 85

**Ans. (a) After changing signs according to the question, the new equation will be:**

**=27 ÷ 3 × 4 + 8 – 12**

**= 9 × 4 + 8 – 12**

**= 36 + 8 – 12 = 44 – 12 = 32**

**6. If A = 26, GUN = 27, then CAR = ?**

(a) 24

(b) 27

**(c) 59**

(d) 58

**Ans. (c) Clearly, each letter is represented by the numeral denoting its position from the end of the**

**English alphabet i.e. Z = 1, Y = 2, ……, M = 14, ……, B = 25, A = 26.**

**Then, SUN = G + U + N = 20 + 6 + 13 = 39.**

**So, CAR = C + A + R = 24 + 26 + 9 = 59.**

**7. If DOLL = 65, TOY =21 , then SOMEONE will be equal to**

**(a) 103**

(b) 100

(c) 102

(d) 99

**Ans. (a) In the given code, Z = 1, Y = 2, X = 3, ……, C = 24, B = 25, A = 26.**

**So, DOLL = 23 + 12 + 15 + 15 = 65 and TOY = 7 + 12 + 2 = 21.**

**Similarly, SOMEONE = S + O + M + E + 0 + N + E = 8 + 12 + 14 + 22 + 12 + 13 + 22 = 103.**

**8. If J = 10 and HEALTH= 9, how will you code DRESS?**

**(a) 13**

(b) 15

(c) 28

(d) 41

**Ans. (a) We have : A = 1, B = 2, C = 3, ……, Y = 25, Z = 26.**

**Clearly, the code for a word is obtained by dividing the sum of the individual values of its letters**

**by the number of letters in the word.**

**Thus, HEALTH =(H + E + A + L + T + H)/6=(8 + 5 + 1 + 12 + 20+8)/6=54/6=9.**

**So, DRESS =(D+ R +E +S + S)/5=(4 + 18 + 5 + 19+19)/5=65/5=13.**

**9. If ACNE can be coded as 3, 7, 29, 11, then HIGH will be coded as**

(a) 17, 29, 19, 17

**(b) 17, 19, 15, 17**

(c) 17, 31, 21, 17

(d) 17, 31, 19, 17

**10. If REAL is coded as 3 and IMPLY as 4, then what is the code for JOURNALIST?**

(a) 6

(b) 8

**(c) 9**

(d) 10

**Ans. (c) Clearly, each word is coded by the numeral which is 1 less than the number of letters in the**

**word.**

**Since there are 10 letters in the word JOURNALIST, so required code = 10– 1 = 9.**

**Directions (Q.11-15): Read the following information and answer the questions given below it:**

**(i) Seven students A, B, C, D, E, F and G take a series of tests.**

**(ii) No two students get similar marks.**

**(iii) G always scores more than A.**

**(iv) A always scores more than B.**

**(v) Each time either C scores the highest and E gets the least, or alternatively D scores the highest and F or B scores the least.**

**11. If D is ranked sixth and B is ranked fifth, which of the following can be true?**

(a) G is ranked first or fourth

(b) C is ranked second or third

(c) A is ranked second or fifth

**(d) F is ranked third or fourth**

**Ans. (d)**

**In terms of scores, we have : G > A, A > B i.e. G > A > B.**

**If C scores the highest, we have C > …… > E.**

**If D scores the highest, we have D > …… > B or D > …… > F.**

**If D is ranked sixth and B is ranked fifth, we have:**

**⃞>⃞>⃞>⃞>B > D >⃞**

**In this case, C will rank of highest and thus E will rank the least.**

**Thus, we have :C >⃞>⃞>⃞> B > D > E.**

**Also, the order G > A > B will be maintained i.e. G and A will have second, third or fourth places. So, statements (a), (b) and (c) cannot follow. Thus, (d) is the answer.**

**12. If C gets most, G should be ranked not lower than**

(a) Second

(b) Third

**(c) Fourth**

(d) Fifth

**Ans. (c)**

**In terms of scores, we have : G > A, A > B i.e. G > A > B.**

**If C scores the highest, we have C > …… > E.**

**If D scores the highest, we have D > …… > B or D > …… > F.**

**If C ranks highest, E ranks lowest and occupies seventh place. Since G always ranks above A and**

**B, so in the maximum, A and B will occupy fifth and sixth places. Thus, G will not rank lower than fourth.**

**13. If C is ranked second and B is ranked fifth, which of the following must be true?**

(a) D is ranked third

**(b) E is ranked sixth**

(c) A is ranked sixth

(d) G is ranked fourth

**Ans. (b)**

**In terms of scores, we have : G > A, A > B i.e. G > A > B.**

**If C scores the highest, we have C > …… > E.**

**If D scores the highest, we have D > …… > B or D > …… > F.**

**If C is ranked second, D will rank first and B or F lowest. But B ranks fifth. So, F ranks lowest. Also, the order G > A > B will be followed.**

**So, the arrangements will be D > C > G > A > B >⃞> F.**

**Thus, the sixth place will be occupied by E.**

**14. If D is ranked second and F is ranked third ,which of the following can be true?**

**(a) F gets more than G**

(b) G gets more than D

(c) A gets more than C

(d) A gets more than G

**Ans. (a)**

**In terms of scores, we have : G > A, A > B i.e. G > A > B.**

**If C scores the highest, we have C > …… > E.**

**If D scores the highest, we have D > …… > B or D > …… > F.**

**If D ranks second, C ranks first, F ranks third and E ranks lowest. The order G > A > B will be followed. So, the arrangement will be C>D>F>⃞>⃞>⃞> E.**

**Clearly, statements (b), (c) and (d) cannot follow. So, the answer is (a).**

**15. If G is ranked fifth, which of the following must be true?**

**(a) D scores the highest**

(b) C is ranked second

(c) E is ranked third

(d) B is ranked fourth

**Ans. (a)**

**In terms of scores, we have : G > A, A > B i.e. G > A > B.**

**If C scores the highest, we have C > …… > E.**

**If D scores the highest, we have D > …… > B or D > …… > F.**

**If G ranks fifth, A and B coming before G will occupy sixth and seventh places respectively i.e. B ranks least. So, D will score the highest.**