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
=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
=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
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
=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.
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.
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.
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
Ans. (b) In the given coding system, we have :
So, the code for HIGH is 17, 19, 15, 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.
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.
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.
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.
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).
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.
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.
