Q1. Which of the given statements will be definitely true if the expression ‘V < E > B = H ≥ N ≥ P’ is definitely true?
(a) P ≤ B
(b) H < V
(c) N ≥ V
(d) E ≥ N
(e) E ≥ P
Statement: ‘V < E > B = H ≥ N ≥ P’
Hence, P ≤ B is definitely true
Q2. Which of the following is definitely true if the statements given below are considered to be true? (You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.)
No kite is a bird.
All reptiles are birds.
All kites are apple.
All apple are plants.
(a) All apple being birds is a possibility.
(b) All plants being reptiles is a possibility.
(c) At least some reptiles are apple.
(d) All kites are plants.
(e) At least some plants are reptiles.
Directions (3-4): Read the given information carefully and answer the questions.
Each of the six persons P, Q, R, S, T and U has travelled to a different number of countries. R has travelled to more number of countries than only S and T. Q has travelled to more number of countries than U but less than P. T is not the person who has travelled to the least number of countries. The one who has travelled to the second highest number of countries has travelled to 8 countries. The one who has travelled to the least number of countries has travelled to only two countries.
Solution(3-4): P > Q > U > R > T > S
Second highest is Q. So, Q has travelled 8 countries while S travelled 2.
Hence P has possibly travelled to 11 countries.
Q3. Who amongst the following has possibly travelled to 11 countries?
(a) P
(b) R
(c) T
(d) Q
(e) S
Q4. If it is given that R has travelled to four countries less than the number of countries travelled by Q, then to how many countries has U possibly travelled?
(a) 4
(b) 9
(c) 3
(d) 6
(e) 10
Directions (5-7): In the given questions, assuming the given statements to be true, find which of the given conclusions I and II stands definitely true and give you answer accordingly. Give answer
(a) If only conclusion I is true
(b) If only conclusion II is true
(c) If either conclusion I or II is true.
(d) If neither conclusion I nor II is true.
(e) If both conclusion I and II are true.
Q5. Statements: F = A < L ≤ C > O ≥ N; Y > L; Q > C
Conclusions: I. Y ≤ N II. Q > F
Ans.(b)
Sol. Given statements:
F = A < L ≤ C > O ≥ N …(i)
Y > L …(ii)
Q > C …(iii)
Combining (i) and (ii), we get
Y > L ≤ C > O ≥ N
Thus, we can’t compare Y and N. Hence I (Y ≤ N) is not true.
Again, F = A < L ≤ C < Q
Thus, F < Q or Q > F. Hence II (Q > F) is true.
Q6. Statements: R = E < Q ≥ B; S ≥ Q
Conclusions: I. S < E II. B ≤ S
S6. Ans.(b)
Sol. Given statements:
R = E < Q ≥ B …(i)
S ≥ Q …(ii)
Combining both statements, we get
R = E < Q ≤ S
Thus, E < S or S > E is true. Hence I (S < E) is not true.
Again, S ≥ Q ≥ B
Thus, S ≥ B or B ≤ S. Hence conclusion II is true.
Q7. Statements: J > K ≥ L; A ≥ K < P
Conclusions: I. L ≤ A II. P < J
S7. Ans.(a)
Sol. Given statements:
J > K ≥ L …(i)
A ≥ K < P …(ii)
Combining (i) and (ii), we get
A ≥ K ≥ L
Thus, A ≥ L or L ≤ A is true. Hence conclusion I is true.
Again, J > K < P
We can’t compare J and P. Hence conclusion II (P < J) is not true.
Directions (8-13): Study the following information carefully and answer the questions given below:
Aaditya, Shyam, Radhika, Anamika, Kavya, Aakash, Anuradha and Ananya live on eight different floors of a building but not necessarily in the same order. The ground floor is number one and the floor above it is number two and so on. The topmost floor is number eight. Each of them likes a different flowers, viz Rose, Lotus, Jasmine, Marigold, Iris, Daisy, Lily and Hibiscus but not necessarily in the some order.
The one who likes Lotus lives on an even-numbered floor but not on floor no. 8. Only two persons live between Aakash and the one who likes Lotus. Only one person lives between Aakash and the one who likes Iris. Neither Kavya nor Radhika lives on floor no. 1. Only one person lives between Radhika and the one who likes Jasmine. Aaditya lives immediately above Aakash, who lives on an odd-numbered floor. Only two persons live between Kavya and Aaditya. The one who likes Iris does not live on floor no. 1. Shyam lives on an even-numbered floor and immediately above Radhika. The one who likes Marigold lives on an even-numbered floor and lives immediately above the person who likes Hibiscus. Ananya lives just below the one who likes Hibiscus. Radhika does not like Iris or Hibiscus. Only two persons live between the one who likes Daisy and the one who likes Rose. The one who likes Daisy does not live on an odd-numbered floor. Anamika does not like Lily. Shyam lives on floor no. 4.
Solutions(8-13):
Q8. Aakash lives on which of the following floors?
(a) 5th
(b) 7th
(c) 1st
(d) 3rd
(e) None of the above
Q9. Shyam likes which of the following flowers?
(a) Lotus
(b) Marigold
(c) Hibiscus
(d) Can’t be determined
(e) None of the above
Q10. The one who lives on floor no. 6 likes which of the following flowers?
(a) Lily
(b) Rose
(c) Iris
(d) Daisy
(e) None of the above
Q11. Who among the following lives on floor no. 5?
(a) Ananya
(b) Kavya
(c) Radhika
(d) Shyam
(e) None of the above
Q12. Which of the following combinations is/are true?
(a) 6th – Aaditya – Marigold
(b) 4th – Ananya – Lotus
(c) 1st – Anamika – Jasmine
(d) 3rd – Radhika – Daisy
(e) None of the above
Q13. Which of the following statements is/are true?
(a) Aakash likes Hibiscus and lives on floor no. 3.
(b) Anuradha lives on floor no. 2 and likes Lily.
(c) Kavya likes Jasmine and lives on floor no. 7.
(d) Only (a) and (b) are true
(e) None of the above
Directions (14-15): Study the following information carefully and answer the questions given below.
A is 10m to the north of B, who is 12m to the north of F. E is 15m to the east of A and D is to the southeast of B and is in line with F at a distance of 15m.
Q14. E is in which direction with respect to D and what is the distance between them?
(a) 15m, East
(b) 22m, North
(c) 20m, South
(d) 25m, West
(e) None of the above
Q15. A is in which direction with respect to D?
(a) Northwest
(b) South
(c) North
(d) Southeast
(e) None of the above