Reasoning Quiz : Syllogism and Data Sufficiency

	Directions (1 - 5): In each of the following questions below are given below there are three statements followed by three conclusion I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
1.	Statements:       All glasses are frames                              Some frames are metals                             All blocks are glasses Conclusion:        I. All blocks are either metals or glasses                             II. Some blocks are metals                             III. Some frames are blocks 1) Only III follows 2) Only II follows 3) Only I follows 4) Only I and II follows 5) None
2.	Statements:       Some doors are windows                              All chairs are benches                              Some chairs are windows Conclusions:       I. Some chairs are doors                             II. Some benches are windows                             III. No bench is a window 1) Only I and III follow 2) Only II and III follow 3) Only II follow 4) Only I follow 5) None
3.	Statements:       Some bottles are bags                              All cards are bottles                              Some pens are bags Conclusion:        I. Some pens are cards                              II. Some cards are bottles                              III. Some pens are bottles 1) Only II and III follow 2) Only I and III 3) Only II follows 4) All follows 5) None
4.	Statements:       All fishes are bones                              No bone is dog                              Some cats are dogs Conclusions:      I. Some bones are fishes                              II. No dog is fish                              III. No cat is bone 1) Only I and II follow 2) Only I and III follow 3) Only II and III follow 4) Only I, II and III follow 5) None
5.	Statements:       Some students are teachers                              No peons are principals                              Some teachers are principals Conclusions:      I. Some students are principals                              II. Some principals are not peons                              III. Some students are not principals 1) Only I follow 2) Only II follow 3) Only II and either I or III follow 4) All Follows 5) None
	Directions (Q.No.6 - 10): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. 1.       If the data in statement I alone are sufficient to answer the question. While the data in statement II alone are not sufficient to answer the question. 2.       If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the questions. 3.       If the data either in statement I alone or in statement II alone are sufficient to answer the question. 4.       If the data given in both statements I and II together are not sufficient to answer the question. 5.       If the data in both statements I and II together are necessary to answer the questions.
6.	What is the monthly salary of Prashant? I. Prashant gets 15% more than Sumit while Sumit gets 10% less than Lokesh. II. Lokesh’s monthly salary is Rs.2500
7.	What is the shortest distance between Devipur and Durgapur. I. Durgapur is 20 kms away from rampur. II. Devipur is 15 kms away from rampur
8.	What is the colour of the fresh grass? I. Blue is called green, red is called orange, orange is called yellow II. Yellow is called white, white is called black, green is called brown and brown is called purple.
9.	Vinod’s and Javed’s salaries are in the proportion of 4:3 respectively. What is Vinod’s salary? I. Javed’s salary is 75% that of Vinod’s salary II. Javed’s salary is Rs.4500
10.	How is R related to M? I. M’s brother is husband to P II. P is mother of R’s sister

Answers: 1. 1; Conclusion : I not true, II not true, III true Only conclusion III 2. 3; Conclusion: I not true, II true, III not true Only II follows 3. 3; Conclusion : I not true, II true, III not true Only II follows 4. 1; Conclusion : I true, II true, III not true Only I & II follows 5. 3; Conclusion : I not true, II true, III not true I and III are complementary Only II and either I or III follows 6. 5; Prashant’s salary = 115% of (90% of 2500) 115/100 × 90/100 × 2500 = Rs. 2587.50 7. 4; The distance of each village from Rampur is given in I and II. But noting About their relative positions is mentioned. So, the distance between the two villages cannot be calculated. 8. 2; The colour of fresh grass is green and is given in II, green is called brown So, the colour of fresh grass is brown. 9. 5; Statement I is merely an interpretation of the information contained in the questions. However, Vinod’s salary can be ascertained from II as follows. Let Vinod’s and Javed’s salaries be 4x and 3x respectively Then 3x = 4500 or x = 1500 Vinod’s Salary 4x = Rs. 6000 (1500 x 4) 10.5; From II, we conclude that P is R’s mother From I, we conclude that M is The brother or sister of P’s husband. Who is also R’s father. Thus R is newphew or niece of M.