Sunday 5 June, 2011

SBI-PO 2005 (Reasoning)

Directions (1-5) In each of the questions below are given three statements followed by four conclusions numbered` I, II, III and IV You have to take the given statements to be true even if they seem to be at variance from 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 trains are rivers. Some rivers are houses.

All houses are lakes.

Conclusions:

I. Some lakes are trains.

Il. Some houses are trains.

III. No train is lake.

IV. Some houses are rivers.

(a) None follows

(b) Only IV follows

(d) Only either I or III and IV follow

(e) All follow

(d) Ans : First and third Premises are Universal Affirmative (A-type). Second Premises Particular Affirmative (I-type) Some rivers are houses.

All houses are lakes We know that, I A ⇒ I-type

Conclusion I and III from complementary pair. Therefore, either I or III follows.

Conclusion IV is converse of the second Premise.

2. Statements : Some tigers are goats. No goat is rat. All dogs are rats

Conclusions:

I. No tiger is rat.

II. No dog is goat.

III Some dogs are tigers.

IV. Some rats are tigers.

(a) Only either I or IV and II follow .

(b) Only either I or IV and III follow

(d) Only either I or IV follows

(e) None follows

(a) Ans : First Premises is Particular Affirmative (I-type).

Second Premise in universal negative (E-type).

Third Premise is universal Affirmative (A-type).

Some tigers are goats

No goat is rat.

We know that, I + E ⇒ O-type

Conclusion

Thus, our derived Conclusion would be : " Some tigers are not rats."

No rat is goat. We know that, A + E ⇒ E-type

Conclusion

Thus, our derived Conclusion would be :

"No dog is goat"

This is the Conclusion II.

Conclusion I and IV from complementary pair. Therefore, either I or IV follows.

3. Statements : Some trees are flowers. Some roads are flowers.

All roads are vehicles.

Conclusions:

I. Some vehicles are trees.

II. Some vehicles are. flowers.

III Some roads are trees.

IV. All vehicles are roads.

(a) None follows

(b) Only I and II follow

(d) Only I,III and IV follow

(e) All follow

(c) Ans : First and second Premises are Particular Affirmative (I-type).

Third Premise is universal Affirmative (A-type)

Some flowers are roads

All roads are vehicles

We know that, I + A ⇒ I-type

Conclusion

Thus, our derived Conclusion would be:

"Some flowers are Vehicles"

Conclusion II is the Converse of this Conclusion.

4. Statements : All jungles are buses. All books are buses. All fruits are books.

Conclusions:

I. Some fruits are jungles.

II. Some buses are books.

III. Some buses are jungles.

IV. All fruits are buses.

(a) All follow

(b) Only II, III and IV follow

(d) Only I, II and IV follow

(e) None of these

(b) Ans : All the three Premises are universal Affirmative (A-type)

All fruits are books.

All books are buses.

We know that, A + A ⇒ A -type

Conclusion

Thus, our derived Conclusion would be:

"All fruits are buses"

This is the Conclusio0n IV.

Conclusion II is the converse of the second Premise.

Conclusion III is the Converse of the first Premise.

5. Statements : Some pens are rooms. Some rooms are cats Some cats are windows.

Conclusions:

I. Some windows are rooms.

II Some cats are pens.

III. Some pens are windows.

IV. Some pens are cats.

(a) All follow

(b) Only I follows

(d) Only II follows

(e) None follows

(e) Ans. All the three Premises are particular Affirmative (I-type). We know that no Conclusion follows from Particular Premises.

Directions (6-10): Below in each questions are given the statements (A) and (B).These statements may be either independent causes or may be effects of independent causes. One of these statements may be the effect of the other statement. Read both the statements and decide which of the following answer choices correctly depicts the relationship between these two statements.

Mark answer (a) if statement (A) is the cause and statement (B) is its effect.

Mark answer (b) if statement (B) is the cause and statement (A) is its effect.

Mark answer (c) if both the statements (A) and (B) are independent causes.

Mark answer (d) if both the statements (A) and (B) are effects of independent causes.

Mark answer (e) if both statements are effects of some common cause.

6. A. The committee appointed by the Government on the fee structure of the professional courses has drastically reduced the fees of various courses in comparison to those charged in the last year.

B. The parents of aspiring students seeking admission to professional courses had launched a severe agitation protesting against the high fees charged by the professional institutes and the admission process was delayed considerably.

(b) Ans : Statement B is the cause and statement A is its effect. Owing to agitation against high fees the Government appointed a committee to look into the matter.

7 .A. The farmers have decided against selling their Kharif crops to the Government agencies.

B. The Government has reduced the procurement price of Kharif crops starting from last month to the next six months

(b) Ans : Statement B is the cause and statement A is its effect. Owing to reduction in the procurement price of Kharif. crops the farmers are reluctant to sell their kharif crops to Government agencies.

8. A. The Reserve Bank of India has recently put restrictions on few small banks in the country.

B. The small banks in the private and co-operative sector in India are not in a position to withstand the competitions of the bigger in the public sector.

(d) Ans : Statement B is the cause and statement A is its effect. Owing to inability to the small banks to withstand the competitions of the bigger banks the Reserve Bank of india put restrictions on few small banks.

9. A. The performance of Indian sportspersons in the recently held Olympics could not reach the level of expectation the country had on them.

B. The performance of Indian sportspersons in the last Asian games was far better than any previous games.

(d) Ans. Both the statement A and B are effects of independent causes.

10. A. Large number of people living in the low lying areas have been evacuated during the last few days to safer places.

B. The Government has rushed in relief supplies to the people living in the affected areas.

(e) Ans : Both the statements are effects of some common cause.

Directions (11-15) : Study the .following alphabet-symbol-digit sequence and answer the questions given below it:

G N = 8 L @ C R β ↑ 2 5 H # 7 E J $ 4 + V Y 3 6 ? F 9 & * M

Ans Questions (11-15):

(i) There are altogether 29 elements in the sequence.

(ii) There are 12 letters in the sequence.

(iii) There 9 symbols in the sequence

(iv) There are 8 digit in the sequence.

(v) The middle element, i e., 15th from either end is '7'

11. How many such symbols are there in the above arrangement each of which is either immediately followed by a letter or immediately preceded by a number ?

(a) Nil

(b) Three

(d) Four

(e) None of these

(c) Ans

SYMBOL

LEFTTER

or

DIGIT

SYMBOL

Such combinations are :

@ C

4 +

+ V

6 ?

? F

9 *

* M

Symbols +, ?, * satisfy both the conditions.

12. C @ R L is to 36 Y ? in the same way as H 2 ↑ C is to -

(a) J4 + 3

(b) E 4 + 3

(d) J4 + 6

(e) None of theses

(a) Ans C →7th from left

@ → 6th from left

R → 8th from left

L → 5th from left

3 → 7th from right

6 → 6th from right

Y → 8th from right

? → 5th from right

Similarly,

H → 13th from left

2 → 11th from left

↑ → 10th from left

C → 7th from left

J → 7th from right

4 → 11th from right

+ → 10th from right

3 → 7th from right

13. Four of the following five are alike in a certain way based on their position in the above arrangement and hence form a group. Which is the one that does not belong to the group ?

(a) @ 8 β R

(b) 7H $J

(d) 4J3Y

(e) None of these

(d) Ans :

14. How many such letters are there in the above arrangement each of which is either immediately preceded by a number or immediately followed by a symbol ?

(a) Three

(b) Two

(d) Four

(e) None of these

(d) Ans.

NUMBER

LETTER

or

LETTER

SYMBOL

Such combinations are :

8 L @

5 H #

7 E

J $

15. How many such numbers are there in the above arrangement each of which is either immediately preceded by a letter immediately followed by a symbol ?

(a) Five

(b) Three

(d) Four

(e) None of these

(d) Ans :

LETTER

NUMBER

or

NUMBER

SYMBOL

Such combinations are :

4 +

Y 3

6 ?

F 9 *

Directions (16-20) Study the following information care fully and answer the questions given below :

Following are the alternative eligibility criteria for short listening candidates for interview for entry level job in a bank :

(i) The candidate should have passed SSC with least 80% marks.

(ii) The candidate should have passed HSC with at least 75% marks.

(iii) The candidate should be a Art/Science Commerce graduate with at least 60% marks.

(iv) The candidate should be an engineer with at least 55% marks.

(v) The candidate should be a post graduate in any discipline with at least 50% marks.

Ans : candidate can be eligible under any one or more of the above criteria depending upon their academic pursuits.

In each of the following questions details of one candidate is given you have to find out under which of the above condition (s) the candidate is eligible and mark your answer accordingly based on the alternatives provided after each question. you are not to assume anything other than than information provided the above questions.

Questions (16 -20) :

	CRITERIA
Candidate	(i)	(ii)	(iii)	(iv)	(v)
sunil Usha Mohan Subhash Aruna	× × × × √	× √ × × ×	√ √ × √ √	× × √ × ×	× √ √ √ √

16. Sunil Arora has secured 75% marks in SSC. He completed his B. Com. with 65% marks after completing his Higher Secondary in Commerce. He has now enrolled in the Master's degree of Commerce.

(a) Eligible under (i) only

(b) Eligible under (ii) only

(d) Eligible under (i) and (iii) only

(e) None of these

(c) Ans: Sunil Arora is eligible under (iii) only.

17. Usha Natarajan has completed M.A. with 50% passing B.A. exam with 60% marks. She had secured 75% ranks in SSC and 80% marks in HSC.

(a) Eligible under (i), (ii), (iii) and (iv) only

(b) Eligible under (i), (ii) and (iv) only

(d) Eligible under (iii) and (iv) only

(e) None of these

(e) Ans. Usha Natarajan is eligible under (ii), (iii) and (v) only.

18. Mohan Srivastava is a Mechanical Engineer. He has secured 60% marks in his final degree exam. He has secured 65% marks in HSC. He has secured 55% marks in his post graduation in mechanical engineering.

(a) Eligible under (ii), (iv) and (v) only

(b) Eligible under (iv) and (v) only

(d) Eligible under (i) (iv) and (v) only

(e) None of these

(b) Ans. Mohan Srivastava is eligible under (iv) and (v) only.

19. Subhash Saxena has secured 85% marks in Science. He has also secured 65% and 75% marks in HSC and Post graduation respectively. He is presently his second post graduation degree.

(a) Eligible under (ii), (iii) and (iv) only

(b) Eligible under (iv) and (v) only

(d) Eligible under (iii) and (v) only

(e) None of these

(d) Ans. Subhash Saxena is eligible under (iii) and (v) only.

20. Aruna Basak is post graduate in physics. She has secured 80% marks in SSC. She has also secured 10% marks both in HSC and graduation.

(a) Eligible under (i). (ii) and (iii) only

(b) Eligible under (ii) and (iii) only

(d) Eligible under (iii) only

(e). None of these

(c) Ans. Aruna Basak is eligible under (i) and (iii) only.P

21. Four of the following five pairs are alike in a certain way and hence from a group. Which one does not belong to that group ?

(a) PARENT : RPBTEO

(b) MOSTLY: SMPYTM

(d) MOTHER : TMPRHD

(e) SUNDAY: NSVYDB

Ans.(d)

22. Four of the following five pairs of alphas and numerals have same relationship between their elements as in the case of the pair MATURELY :72415863 and hence form a group. Which one does not belong to the group ?

(a) RAMTE :52748

(b) LETRA : 68452

(d) MERUTA : 785142

(e) EMUTRA : 671452

(e) Ans.

;

↓

Directions (23-25): Given an input, a machine generates pass codes for six batches each day as follows :

Input: these icons were taken out from the sea.

Pass Codes :

Batch I : from sea the out taken were icons these

Batch II : from icons these were taken out the sea.

Batch III : from icons out sea the taken were these

Batch IV : from icons out sea these were taken the. and so on.

First batch starts at 10.00 a.m. and each batch is for one hour There is a rest period of one hour after the end of the fourth batch.

Questions (23-25): Input : 1 2 3 4 5 6 7 8

these icons were taken out from the sea

Pass Code Batch 1 : 10:00 am to 11:00 am

6 8 7 5 4 3 2 1

from sea the out taken were icons these

Batch II : 11.00 am to 12.00 noon

6 2 1 3 4 5 7 8

from icons these were taken out the sea

Batch III : 12. 00 noon to 1.00 pm

6 2 5 8 7 4 3 1

from icons out sea the taken were these

Batch IV : 1. 00 pm to 2.00 pm

6 2 5 8 1 3 4 7

from icons out sea these were taken the

Rest Hour : 2.00 pm to 3.00 pm Batch V : 3.00 pm to 4.00 pm

6 2 5 8 1 7 4 3

from icons out sea these the taken were

Batch VI : 4.00 pm to 5.00 pm

6 2 5 8 1 7 3 4

from icons out sea these the were taken

23. The pass code for the first batch on a day was he so used to sell the surplus items'. What was the input on that day ?

(a) he items surplus the sell to used so

(b) so used to sell the surplus items he

(d) can not be determined

(e) None of these

(e)Ans. Batch I. 10.00 am to 11.00 am

6 8 7 5 4 3 2 1

he so used to sell the surplus items Therefore, input

1 2 3 4 5 6 7 8

items surplus the sell to he used so

24. If the pass code for the batch at 1.00 p.m.on a day was ,back go here people who settle want to'. What was the pass code for bach at 3.00 p.m. on that day ?

(a) back go here people to want settle who

(b) back go here people settle who want to

(d) cannot be determined

(e) None of these

(e) Ans. Batch IV : 1.00 pm to 4.00 pm

6 2 5 8 1 3 4 7

back go here people who settle want to

Batch V : 3.00 pm to 4.00 pm

6 2 5 8 1 7 4 3

back go here people who to want settle

25.What will be code pass code for the batch at 3.00 p.m. if input is 'four of the following five form a group.?

(a) a five following form group the of four

(b) a five following form four group the of

(d) a five following form four group of the

(e) None of these

(e) Ans. Input

1 2 3 4 5 6 7 8

four of the following five from a group

Batch V : 3.00 pm to 4.00 pm

6 2 5 8 1 7 4 3

from of five group four a following the

26. In a row of 40 boys sameer was shifted l0 places to the right of Raman and Kailash was shifted 10 places to the left of Vikas. If Vikas was 26th from the left of left end and there were three boys between Kailash and Sameer after shifting, what was the position of Raman in the row?

(a) Data inadequate

(b) l0th from the left end

(d) 39th from the right end

(e) None of these

(a) Ans. There may be many assumptions and hence many sets of answers.

27. Arrange the vowels and consonants of the word 'ACCOMPLISHMENT, in a alpha order separately, the vowels first and then the .consonants If ,the second and the third vowels so arranged, correspond to the first three, the next and the next three consonant so arranged respectively, E corresponds to which. consonants ?

(a) LMM

(b) HLM

(d) MNP

(e) None of these

(a) Ans. A E I O

C C H

L M M

↓ ↓

A E

Directions (28-30) : P, Q, R, S,T U, V, & W are sitting round the circle and are facing the center.

(i) P is second the right of T who is the neighbor of R & V

(ii) S is not the neighbor of P

(iii) V is the neighbor of U.

(iv) Q is not between S & W and W is not between U & S.

Questions (28-30) :

28. What is the position of S ?

(a) Between U & V

(b) Second to the right of P

(d) Data inadequate

(e) None of these

(c) Ans. S is to the immediate right of W.

29. Which two of the following are not neighbors ?

(a) RV

(b) UV

(d) QW

(e) None of these

(a) Ans. R and V are not neighbors

30. In a certain code .RAIL is written as, 'KCTN and 'SPEAK' is written as 'CGRUM'. How will AVOID' be written in that code ?

(a) FKQXC

(d) KRXCF

(d) KQXCF

(e) None of these

(c) Ans. Q is the immediate left of W.

31. Which of the following is correct ?

(a) P is to the immediate right of Q.

(b) R is between T & U

(d) U is between W & S

(e) None of these

(d) Ans.

32. How many such pairs of letters are there in the word 'APPREHENSTON' each of which has as many letters between them in the word as there are between them in the English alphabet ?

(a) 4

(b) 5

(d) 7

(e) None of these

Ans.(b)

Directions (33-35): 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.

Read both the statements and-

Give answer (a) 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.

Give answer (b) If the Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

Give answer (c) if the data either in Statement I alone or in Statement II alone are sufficient to answer the question

Give answer (d) if the data in both the Statements I and II together are not sufficient to answer the question.

Give answer (e) If the data in both the Statements I and II together are necessary to answer the question.

CAUTION: Do Not mark your answer unless you consider both the statements carefully.

33. How is M related to N ?

I. P who has only two kids, M & N, is the mother-in-law of Q, who is sister-in-law of N.

II. R, the sister-in-law of M, is the daughter-in-law of S, who has only two kids, M & N.

(a) Ans. From statement I

P is mother of M and N.

Q is sister-in-law of N.

Therefore, Q is wife of M

Thus, M is brother of N.

From statement II

M and N are children of S.

R is the sister-in-law of M and daughter-in-law of S.

Therefore, R is the wife of N.

The sex of M is not clear.

M is either brother or sister of N.

34. How many students from the class secured First Class ?

I. The number of students securing First Class was equal to the number of students failed and was one third of the number of students passed in the class of 120 students.

II. (1/4)th of the girls. i.e. l0 and (`1/4)th of the boys secured Ist class in the class of 120 students.

(c) Ans. From statement I

Let the number of students securing First Class = x

∴ Number of students who field = x

Number of students who passed = 3x

According to question 3x + x = 120

∴ x = (120/4) = 40

From statement II

Number of girls in the class = 10 × 4 = 40

∴ Number of boys in the class = 120 - 40 = 80

∴ Number of students who secured First Class

= 10 + (80/4) = 10 + 20 = 30

35. What is the code for 'mangoes' in a code language ?

I. In that code language Te Le Pa Na' means 'You eat many mangoes 'and 'Le Na Da' means 'You sell mangoes'.

II. In the code language 'Ge Na Se La Le' means They eat bananas and mangoes' and 'Ne De Le La' means 'Who others eat bananas'.

Directions (36-40) In making decisions about important questions, it is desirable to be able to distinguish between 'strong' arguments and 'weak' arguments.' strong' arguments are those which are both important and directly related to the question. 'Weak' arguments are those which are of minor importance and also may not be directly related to the question or may be related to a trivial aspect of the question.

Each question below is followed by three arguments numbered I, II and III. You have to decide which of them is 'weak argument'.

(e) Ans. From statement I

Thus, code for 'manages' may be either 'L' or 'Na'.

From statement II

Ge Na

Se La

Le → they

eat bananas

and mangoes

De Le

La → who others

eat bananas

Thus, code for 'mango se' is either 'Ge', 'Na' or 'Se' From both the statements the code for 'mangoes' is 'Na'.

36. Should the income generated out of agricultural activities be taxed?

Arguments : I. No, farmers are other wise suffering from natural calamities and low yield coupled with low procurement price and their income should not be taxed.

II.Yes, majority of the population is dependent on agriculture and hence their income should be taxed to augment the Government resources.

III Yes, many big farmers earn much more than majority of the service earners and they should be taxed to remove the disparity

(a) All are strong

(b) Only II and III are strong

(c) Only I is strong

(d) Only I and II are strong.

(e) None of these

(b) Ans. Argument I makes no sense. If the income of farmers are not adequate they cannot be brought under the net of taxation as per rules governing the Income Tax Act. There fore, argument II seems to be strong. In order to increase revenue the Government should bring more persons under the net of taxation. Argument III is also strong.

37. Should all the indirect taxes in India be combined into a single tax on all commodities ?

Arguments : I Yes, this will considerably simplify the tax collection mechanism and the cost of collecting tax will reduce.

II. Yes, the manufacturers and traders will be benefited by this which in turn will boost tax collection.

III No, no other country has adopted such system.

(a) None is strong ,

(b) Only I and III are strong

(c) Only II is strong

(d) Only II and III are strong

(e) None of these

(e) Ans. Only arguments I and II are strong. The Government is keen to introduce the VAT (Value Added Tax) which is the system envisaging simplified tax structure. A single tax will check the double taxation and manufactures as well as traders will be encouraged to pay taxes.

Argument III is an example. We know that citing an example is bad argumentation.

38. Should all the students graduating in any discipline desirous of pursuing post graduation of the subjects of their choice be allowed to enrolls in the post graduate courses ?

Arguments : I. Yes, the students are the best judge of heir capabilities and there should not be restrictions for joining post graduation courses.

II. No, the students need to study relevant subjects in graduate courses to enrolls in post graduate courses and the students must fulfills such conditions.

III. No, there are not enough institutes offering post graduate courses which can accommodate all the graduates desirous of seeking post graduate education of their own choice.

(a) None is strong

(b) Only I and II are strong

(d) Only I and III are strong

(e) None of these

(e) Ans. Only argument II is strong.

39. Should there be complete ban on Indian professionals seeking jobs elsewhere after getting their education in India ?

Arguments: I. Yes, this is the only way to sustain present rate of technological development India.

II No, the Indians settled abroad send huge amount of foreign exchange and this constitute a significant part of foreign exchange reserve.

III. No, the practical knowledge gained by India working in other countries help India develop its economy.

(a) None is strong

(b) Only I and II are strong

(d) Only II and III are strong

(e) All are strong

(a) Ans. None of the arguments is strong. The use of tern 'only' in the argument I marks it invalid.

40. Should there be only few banks in place of murderous smaller banks in India ?

Arguments : I..Yes,.this will help secure the investor's money as these big banks will be able to withstand intermittent market related shocks.

II No, large number of people will lose their job as after the merger many employees will be redundant.

III. Yes, this will help consolidate the entire banking industry and will lead to healthy competition.

(a) None is strong argument

(b) Only I and III are strong arguments

(d) Only I and II are strong arguments

(e) All are strong arguments.

(a) Ans. None of the arguments is strong.

Directions (41- 45) : Below is given a passages followed by several possible inferences which can be drown from the fact stated in the passage. you have to examine each inference, separately in the context of the passage and decide upon its , degree of truth or falsity.

Mark answer (a) if the inference is .definitely true ', i.e., it properly follows from the statement of acts given.

Mark answer (b) if.the inference is .probably true, though not though not 'definitely true, in the light of the facts given.

Mark answer (c) if the 'data are inadequate', i.e. from the facts given can not say whether the inference is likely to be true or false.

Mark answer (d) if the inference is , probably false' , though not 'definitely false' in the light of the facts given.

Mark answer (e) if the inference is .definitely false,, i.e. it can not possibly be drawn from the facts given or it contradicts the given facts.

The performance of Indian agriculture is Largely dependent on amount of rain fall, across the country. A substantive part of the cultivable land is dependent on irrigation which is directly related to monsoon. However, agriculture and allied activities account for less than even one-fourth of the total GDP.The component of the manufacturing sector that depends on agriculture for the supply of intermediates is not very high, which the structure of industrialization has changed over the years. Several components of the tertiary sector that are crucial for the growth of the rest of the economy have grown size ably, thanks to IT and BPO. So it is less likely that aggregate economic growth will be adversely affected if rainfall is scanty. Yet, a some what different picture emerges if we look deeper into the matter. Still, a very significant chunk of the population and work force depends on agriculture for its livelihood. A decline in agriculture reduces per capita food availability, which in turn, pulls down the standard of living.

41.Agro,based activities constitute more than 25 per cent of GDP in India.

(e) Ans. Consider the following line of the passage :

"However, agriculture and allied activities account for less than even one-fourth of the total GDP".

Therefore, the inference is definitely false.

42. The industrialization process had undergone significant changes over the past few decades.

(e) Ans. It is mentioned in the passage that the structure of industrialization has changed over the yeas and not over the past few decades.

43. Non-industrial and non-agricultural sector activities have considerably grown over the past few years.

(a) Ans. The inference is definitely true.

44. Weak monsoon have adverse effect on GDP even though non-agricultural sector activities may continue to be the same.

(e) Ans Consider the following line of the passage :

"So it is less likely that aggregate economic growth will be adversely affected if rainfall is scanty".

45. Manufacturing sector no longer depends on agricultural sector

(e) Ans. It is mentioned in the passage that the component of the manufacturing sector that depends on agriculture for the supply of intermediates is not very high. This does not imply that manufacturing sector is independent of agricultural sector.

Directions (46-50) : In the following questions, the symbols @,%, $, # and * are used with the following meaning as treated below.

'P $ Q' means 'P' is not smaller than Q'.

'P * Q' means 'P is neither smaller than nor equal to Q.

'P @ Q' means 'P is not greater than Q'.

'P # Q' means 'P is neither greater than nor smaller than Q.

'P % Q, means 'P is neither greater than nor equal to Q.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/ are definitely true ?

Give answer (a) if only Conclusion I is true.

Give answer (b) if only Conclusion II is true.

Give answer (c) if either Conclusion I or II is true.

Give answer (d) if neither Conclusion I nor II is true.

Give answer (e) if both Conclusion I and II are true.

Question (46-50)

(i) P $ Q means P not less than Q.

Therefore, P is either greater than or equal to Q.

(ii) P * Q means P not less than Q and P ≠ Q. Therefore, P > Q

(iii) P @ Q means P not greater than Q.

Therefore, P < Q and P = Q ; P < Q

(iv) P # Q means P not greater than Q and ; P not less than Q therefore, P = Q

(v) P% Q means P not greater than Q and P ≠ Q therefore, P < Q

$ ⇒ >	* ⇒ >	* ⇒ <
# ⇒ =	% ⇒ <

46. Statements: M * T, T $ K,K # D

Conclusions: I. D %M

II. M * K

(e) Ans. Statements

M * T ⇒ M > T

T $ K ⇒ T ≥ K

K # D ⇒ K = D

Therefore, M > T ≤ K = D

Conclusions

I. D % M ⇒ D < M : True

II. M * K ⇒ M > K : True

47.. Statements, R @ J, M # J, D * M

Conclusions: I. D * J

(a) Statements

R @ J ⇒ R ≤ J

M # J ⇒ M = J

D * M ⇒ D > M

Therefore, R ≤ J M < D

Conclusions

I. D * J ⇒ D > J True

II. R # M ⇒ R = M : Not true

48. statements . F $ M, N, % W

Conclusions: I . F # N

II. N % F

(c) Ans. Statements

F $ M ⇒ F ≥ M

N @ M ⇒ N ≤ M

N % W ⇒ N < W

Therefore, F ≥ M ≥ N < W

Conclusions

I. F # N ⇒ F = N : Not True

II. N % F ⇒ N < F : Not True

N is either smaller than or equal to F.

49. Statements . B # J,J @ D,F $ D

Conclusions: I. B # F

II. F * B

(c) Statements

B # J ⇒ B = J

J @ D ⇒ J ≤ D

F $ D ⇒ F ≥ D

Therefore, B = J ≤ D ≤ F

Conclusions

I. B # F ⇒ B = F : Not True

II. F * B ⇒ F > B : Not True

B is either smaller than or equal to F.

50. Statements Z % T, T * N, H $ N

Conclusions: I. H * Z

II. T * H

(d) Ans. Statements

Z % T ⇒ Z < T

T * N ⇒ T > N

H $ N ⇒ H ≥ N

Therefore, Z < T > N ≤ H

Conclusions

I. H * Z ⇒ H > Z : Not True

II. T * Z ⇒ T > Z : Not True

Directions (51-55): Read the following information carefully and answer the questions given below : P,Q, R, S, T, V und Z are seven employees of call center. They work in three shifts - I, II and III There is at least one and not more than three among them in any of these shifts . Each of them get one day off in every week from Monday to Sunday. Q work with only T in shift II and his weekly off is immediate to the next of the off day of P S has weekly off on Sunday and he is not in the same shift with either R or Q. P is in shift I with R whose off day is immediately after T Q and immediately before T.V's off day is immediately after T but not on on Saturday. The employee having off day on Friday works in shift III and that on a Saturday does not work with T.Z does not work either in shift II or in shift III.

Questions (51-55):

On the basis of given information and conclusions drawn from them we can construct the following chart.

Employee P Q R S T V Z	SHIFT			Holiday Monday Tuesday Wednesday Sunday Thursday Friday Saturday
	I √ × √ × × × √	II × √ × × √ × ×	III × × × √ × √ ×

51. In which shift do three of them work ?

(a) I

(b) II

(c) III

(d) I or III

(e) Data inadequate

(a) Ans. P, R, and Z Work in Shift. I.

52. On which day of the week does e have off day - shift day is short day is not correct?

(a) Wednesday

(b) Thursday

(c) Tuesday

(d) Saturday

(e) None of these

(c) Ans. Q has off day on Tuesday.

53. Which of the following combinations of employee-off day shift day is non correct ?

(a) T- Thursday-II

(b) V-Friday-III

(c) P-Wednesday

(d) Z-Saturday - I

(e) None of these

(c) Ans. The combination P-Wednesday-I is not correct.

54. Who among them has off day immediately on the next of V's off day ?

(a) P

(b) Z

(c) T

(d) Data inadequate

(e) None of these

(b) Ans. Z has off day immediately on the next day of V's off day.

55. In which shift does V work ?

(a) II

(b) III

(c) II or III

(d) Data inadequate

(e) None of these

(b) Ans. V works in Shift III.

Directions (56-60): In a certain instruction system the different computation processes are written as follows :

(a) x $ y % z means z is multiplied by the sum of x and y.

(b) x # y * z means that when y is subtracted from x and the resultant is divided by z.

(c) x @ y © z means x is added to the resultant when y is divided by z.

(d) x • y λ z means x is subtracted from the product of Y and Z.

ln each of the questions below a set of instruction sequence is given. You are required to find out the outcome which should come in place of the question mark (?) in each of the given sets of sequence.

56. (i) 20 # 10× 2 = m

(ii) m • 6 λ 4 = ?

(a) 19

(b) 29

(c) 4

(d) cannot be determined

(e) None of these

(a) Ans. (i) 20 # 10 * 2 = m

or, m = (20 - 10 ) ÷ 2

or, m = (10/2) = 5

(ii) 5 • 6 λ 4 = ?

or, ? 24 - 5 = 19

57. (i) 60 $ 20 % 4 = n

(ii) 8 @ n © 10 = ?

(a) 20

(b) 40

(c) 10

(d) 60

(e) None of these

(b) Ans. (i) 60 $ 20 % 4 = n

or, n = (60 + 20) × 4

or, n = 80 × 4 = 320

(ii) 8 @ n © 10 = ?

or, ? = (320/10) + 2

= 32 + 8 = 40

58. (1) 15 • 12 λ 5 = p

(ii) 4 $ 12 % p = ?

(a) 720

(b) 228

(c) 102

(d) can not be determined

(e) None of these

(a) Ans. (i) 15 • 12 λ 5 = p

or, p = 60 - 15 = 45

(ii) 4 $ 12% p = ?

or, ? = (4 + 12) × 45

or, ? = 16 × 45 = 720

59. (i) 16 @ 12 © 8 = z

(ii) z # 20 • 8 = ?

(a) 240

(b) 80

(c) 108

(d) 93

(e) None of these

(d) Ans. (i) 16 @ 12 © 8 = z

or, z = 16 + (12/8)

or, z = 16 + (3/2) = (25/2)

(ii) z # 20 • 8 = ?

60. (i) 80 • 15 λ 8 = t

(ii) t $ 5 % 8 = ?

(a) 40 # 40 * 10

(b) 40 $ 40 % 10

(c) 40 @ 40 © 10

(d) 40 • 40 λ 10

(e) None of these

(d) Ans. (i) 80 • 15 λ 8 = t

or, t = (15 × 8) - 80

or, t = 120 - 80 = 40

(ii) t $ 5% 8 = ?

or, ? = (40 + 5) × 8

or, ? = 45 × 8 = 360

Option (1)

40 # 40 * 10

or, (40 - 40) ÷ 10 = 0

Option ( 2)

40 @ 40% 10

or, (40 + 40) × 10 = 800

Option (3)

40 @ 40 © 10

or, (40/10) + 40 = 4 + 40 = 44

Option (4)

40 • 40 λ 10

or, (40 × 10) - 40

or, 400 - 40 = 360

Directions (61-65) : Ii each of the following questions two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers. are to be answered. The operations of numbers progress from left to right.

Rules:

(i) If an odd number is followed by a two digit even number then they are to be added.

(ii) If an odd number is followed by a two digit odd number then the second number is to be subtracted from the first number.

(iii) If an even number is followed by a number which is a perfect square of a number then the second number is to be divided by the first number.

(iv) If an even number is followed by a two digit even number then the first number is to be multiplied by the second number.

61. 15 11 20 400

8 12 10

If the resultant of the second set of numbers is divided by the resultant of the first set of numbers what what will be the outcome ?

(a) 196

(b) 200

(c) 19

(d) 92

(e) None of these

(e)Ans. First Set of Numbers

15 11

⇒ 15 - 11 = 4 [Rule (ii)]

4 20

⇒ 4 × 20 = 80 [Rule (iv)]

80 400

⇒ (400/80) = 5 [Rule (iii)]

Second Set Numbers

8 12

⇒ 8 × 12 = 96 [Rule (iv)]

96 10

⇒ 96 × 10 = 960 [Rue (iv)]

Now, (960/5) = 192

62. 40 30 3600

15 24 144

What is the sum of the two resultant numbers of the set of numbers given above ?

(a) 22

(b) 25

(c) 28

(d) 106

(e) None of these

(e) Ans. First Set of Numbers

40 30

⇒ 40 × 30 = 1200 [Rule (iv)]

1200 3600

⇒ (3600/1200) = 3 [Rule (iii)]

Second Set of Numbers

15 24

⇒ 15 + 24 = 39 [Rule (i)]

39 17

⇒ 39 - 17 = 22 [Rule (ii)]

Now, 3 + 22 = 25

63. 8 16 16 14

13 11 12 144

What is the difference between the resultant of the first set of numbers and the second set of numbers ?

(a) 222

(b) 210

(c) 118

(d) 106

(e) None of these

(d) Ans. First Set Numbers

8 16

⇒ (16/8) = 2 [Rule (ii)]

2 16

⇒ (16/2) = 2 [Rule (iii)]

8 14

⇒ 8 × 14 = 112 [Rule (iv)]

Second Set of Numbers

13 11

⇒ 13 - 11 = 2 [Rule (ii)]

2 12

⇒ 2 × 12 = 24 [Rule (iv)]

24 144

⇒ (144/24) = 6 [Rule (iii)]

Now, 112 - 6 = 106

64. 13 11 4

17 13 12

If the resultant of the first set of numbers is multiplied by the resultant of the second set of numbers, what will be the outcome ?

(a) 48

(b) 96

(c) 69

(d) 75

(e) None of these

(b) First Set of Numbers

13 11

⇒ 13 - 11 = 2 [Rule (ii)]

2 4

⇒ (4/2) = 2 [Rule (iii)]

Second Set of Numbers

17 13

⇒ 17 - 13 = 4 [Rule (ii)]

4 12

⇒ 4 × 12 = 48 [Rule (iv)]

Now, 48 × 2 = 96

65. 19 15 12

15 12 23 16

If the resultant of the second set of numbers is subtracted from the resultant of the set of numbers what will be the outcome?

(a) 44

(b) 92

(c) 29

(d) 43

(e) None of these

(a) Ans. First Set of Numbers

19 15

⇒ 19 - 15 = 4 [Rule (ii)]

4 12

⇒ 4 × 12 = 48 [Rule (iv)]

Second Set of Numbers

15 12

⇒ 15 + 12 = 27 [Rule (i)]

27 23

⇒ 27 - 23 = 4 [Rule (ii)]

4 16

⇒ (16/4) = 4 [Rule (iii)]

Now, 48 - 4 = 44

Directions (66-70) : In each of the following questions in four out of the five figures. element I is related to element II in the same particular way. Find out the figure in which the element I is not so related to element II.

66.

(d) Ans. From element first to second the top and left designs protect through 135° anti-clockwise, the lower design rotates through 45° anti-clockwise while the right

design rotates through 45° clockwise.

67.

(e) Ans. From element first to second all the designs move two steps in anti-clockwise direction and the first and the last designs interchange positions and the first design is replaced with a new design. Similarly, the second and the fifth designs interchanges position and one of these two designs is replaced with a new design. Again the third and the fourth designs interchange position and one of these two designs is replaced with a new design.

68.

(b) Ans. From element first to second all the designs move one steps in anti-clockwise direction and one side is added to each design.

69.

(c) Ans. From element first to second the lowermost design shifts into middle after being inverted, the middle design moves downward and attached figure is replaced with a new design. The attached figure of the top most design is also replaced with a new design after being inverted.

70.

(a) Ans. From element first to second all the designs move in anti-clockwise direction and one design each of the left and right designs is deleted while one design is added to the upper and lower designs.

Directions (71-75) : In each of the following questions series beings with unnumbered figure on the extreme left. One and only one of the five numbered figures in the series does not fit into the series. The two unnumbered figures one each on the extreme left and the extreme right fit into series. You have to take as many aspects into account as possible of the figures in the series and find out the one and only of the five numbered figures. which does not fit into the series. The number of that figure is answer.

71.

(a) Ans. In the subsequent figures the pre-existing leaflet rotates through 45° anti-clockwise and also moves in anti-clockwise direction and after every two figure tow half-leaf-lets are added.

72.

(b) Ans. In the subsequent figures all the pre-existing designs move one step in clockwise direction and the first design is replaced with a new design in the first step and then a new design is added at the second position after every two figures.

73.

(c) Ans. In the subsequent figures the arrow moves respectively two steps and one new design is added in front of the preexisting design and behind the preexisting design alternately.

74.

(e) Ans. In the first step one-fourth parts of two circles get shaded and in the next step one circle become white. The shading pattern inside the circle proceed in clockwise direction while the circles get shaded in anticlockwise direction while the circles get shaded in anticlockwise direction.

75.

(e) Ans. In the subsequent figures one design moves to opposite sector and the other in anti-clockwise direction while the third design remains static.