SBI Posts Study Material
To begin with you must, first, convince yourself that a three- statement syllogism is certainly not more difficult than the usual two-statement syllogism. It may, of course, be a little more time-taking but it is not more difficult.
Directions: Below are given three statements a, b and c followed by four conclusions. You have to take the given statements to be true even if they appear to be at variance with commonly known facts, and then decide which of the conclusions logically follow(s) from the given statements. For each question, mark out an appropriate answer choice that you think is correct.
1. Statements : a. All bulbs are radios.
b. All radios are fans.
c. No fans are tables.
Conclusions : I. Some fans are bulbs.
II. No tables are bulbs.
III. Some radios are bulbs.
IV. Some tables are radios.
1) I, II and III follow 2) II, III and IV follow
3) Only I and II follow 4) Only I and III follow
5) II and IV follow
2. Statements: a. Some books are bulbs
b. All biscuits are pens.
c. No bulbs are biscuits.
Conclusions: I. Some books are not biscuits.
II. Some bulbs are not pens.
III. Some books are not pens.
IV. Some pens are not bulbs.
1) I and IV follow 2) II and IV follow
3) I and III follow 4) II and III follow
5) I, II and IV follow
3. Statements: a. All books are notes.
b. Some notes are watches.
c. No watch is a pencil.
Conclusions: I. Some watches are books.
II. Some notes are pencils.
III. No watch is a book.
IV. Some notes are not pencils.
1) I and either II or IV follow
2) I, III and IV follow
3) I, II and III follow
4) Only I and IV follow
5) Either I or III and IV follow
4. Statements: a. Some blondes are Indians.
b. Some Asians are blondes.
c. No Asian is a brunette.
Conclusions: I. Some Indians are Asians.
II. Some blondes are brunettes.
III. Some brunettes are not blondes.
IV. Some blondes are not brunettes.
1) I and IV follow 2) II and III follow
3) Only III follows 4) Only IV follows
5) Either II or IV and III follow
5. Statements: a. All nips are tips.
b. No coin is a tip.
c. Some balls are nips.
Conclusions: I. Some balls are coins.
II. Some balls are tips.
III. Some coins are not balls.
IV. Some balls are not coins.
1) Only II and III follow 2) Only II and IV follow
3) Either I or IV follows 4) Only IV follows
5) Either I or IV follow
6. Statements: a. All crooks are spooks.
b. All books are jokes.
c. Some books are crooks.
Conclusions: I. Some jokes are crooks.
II. Some spooks are jokes.
III. Some crooks are jokes.
IV. Some spooks are books.
1) I, II and III follow
2) II, III and IV follow 3) I, III and IV follow
4) I, II and IV follow 5) All follow
7. Statements: a. Some papers are nibs.
b. No file is a cutter.
c. Some files are papers.
Conclusions: I. Some files are nibs.
II. Some papers are cutters.
III. Some files are not nibs.
IV. Some papers are not cutters.
1) Either I or III, and II follow
2) Either I or III, and IV follow
3) Either II or IV, and I follow
4) Either II or IV, and III follow
5) Either II or IV, and either I or III follow
8. Statements: a. All gardens are boxes.
b. Some gardens are flowers.
c. No chocolates are boxes.
Conclusions: I. Some flowers are chocolates.
II. No gardens are chocolates.
III. Some flowers are boxes.
IV. Some flowers are not chocolates.
1) II, III and IV follow
2) I, III and IV follow
3) Only II and III follow
4) Only III and either I or IV follow
5) Only II, III and either I or IV follows
9. Statements: a. Some bulbs are chocolates.
b. No fruit is a bulb.
c. Only Amul is a chocolate.
Conclusions: I. Some fruits are not chocolates.
II. Some chocolates are not fruits.
III. Some bulbs are Amuls.
IV. No bulb is an Amul.
1) Only II and III follow
2) Only II and IV follow
3) Either III or IV follows
4) Either III or IV and I follow
5) Only I and III follow
10. Statements:
a. Some Indians are not Africans.
b. All Africans are Asians.
c. Some Asians are Americans.
Conclusions: I. Some Indians are not Asians.
II. Some Indians are not Americans.
III. All Africans are Americans.
IV. Some Americans are Indians.
1) Only I follows
2) Only II follows
3) Only III follows
4) Only IV follows
5) Either II or IV follows
11. Statements: a. Some cards are papers.
b. All papers are vans.
c. Some vans are trams.
Conclusions: I. Some cards are trams.
II. Some papers are trams.
III. Some trams are papers.
IV. Some vans are cards.
1) II and III follow 2) I and IV follow
3) Only IV follows 4) II, III and IV follow
5) I, II and III follow
12. Statements: a. No fruits are mangoes.
b. No oranges are potatoes.
c. All mangoes are oranges.
Conclusions: I. Some fruits are not oranges.
II. Some oranges are not fruits.
III. No mangoes are potatoes.
IV. Some oranges are fruits.
1) Only III and I follow
2) Only II and IV follow
3) Either II or IV follows
4) Only II and III follow
5) Either II or IV and III follow
13. Statements: a. Some cats are docks.
b. All carts are clocks.
c. No frocks are clocks.
Conclusions: I. All carts are clocks.
II. No frocks are carts.
III. Some docks are not frocks.
IV. Some docks are frocks.
1) Either III or IV follows
2) Only I and II follow
3) I, II and III follow
4) I, II and either III or IV follow
5) I and either III or IV follow
14. Statements: a. Some tablets are capsules.
b. No capsules are medicines.
c. All medicines are syrups.
Conclusions: I. Some tablets are not medicines.
II. Some medicines are not capsules.
III. Some syrups are medicines.
IV. Some syrups are not capsules.
1) I, II and III follow
2) I, III and IV follow
3) II, III and IV follow
4) I, II and IV follow
5) All follow
15. Statements: a. All coats are pants.
b. No pants are shirts.
c. Some shirts are vests.
Conclusions: I. Some vests are shirts.
II. Some coats are shirts.
III. No coat is a shirt.
IV. Some vests are not coats.
1) I, II and III follow
2) I and IV follow
3) I and III follow
4) I, III and IV follow
5) I, IV and either II or III follow.
KEY:
1 –1, 2 – 1, 3 – 5, 4 – 4, 5 – 2, 6 – 5, 7 – 2, 8 – 1, 9 – 1, 10 – 5, 11 – 3, 12 – 4, 13 – 3, 14 – 5, 15 – 4.
Answers with Explanations
1 –1, All bulbs are radios + All radios are fans = All bulbs are fans→ Some fans are bulbs. III follows on converting the first
statement. Also, All bulbs are fans + No fans are tables = No bulbs are tables.
2 – 1, (a) + (c) gives I. (c) + (b) gives IV. No other conclusion is possible.
3 – 5,
4 – 4, (b) can be converted to “Some blondes are Asians”. This plus (c) gives conclusion IV. No other conclusion is possible.
5 – 2, (c) + (a) gives conclusion II. Conclusion II + converted form of (b), gives conclusion IV.
6 – 5,
7 – 2, (c) gives, on conversion, “Some papers are files”. This plus (b) gives conclusions IV. No other conclusions are valid. But, I and III make a complementary pair.
8 – 1, (a) + converted (c) = conclusion II. converted (b) + (a) = conclusion III. converted (b) + conclusion II = conclusion IV.
9 – 1,
10 – 5, By the rules of syllogism, no conclusion can follow. But II and IV make a complementary pair because at any time at least one of them must be true. When II is false, IV would be true; when IV is false, II would be true.
11 – 3, (a) + (b) gives Some cards are vans. This gives, on conversion: Some vans are cards. None of the other given conclusions
can be proved.
12 – 4, (a) + (c) gives conclusion II. (c) + (b) gives conclusion III. None of the other conclusions are possible.
13 – 3, (b) and conclusion I are identical. (b) + converted (c) gives No carts are frocks. On conversion, this gives conclusion
II. Now, conclusion II + (a) gives conclusion III.
14 – 5, (a) + (b) gives conclusion I. (b) + (c) gives conclusion IV. Conclusion II follows immediately from (b). Conclusion III follows immediately from (c).
15 – 4, (a) + (b) gives conclusion III. (c) gives conclusion I on conversion. Conclusion III + (c) gives conclusion IV.