Syllogism problems
- 1. Statement:
Some spoons are forks. Some forks are bowls. All bowls are plates. Some plates are utensils.
Conclusions:
I. Some utensils are forks.
II. Some plates are forks.
III. Some plates are spoon.
IV. Some utensils are spoons.
Options- A. Only I follows
- B. Only II follows
- C. Only I & III follows
- D. Only II & IV follows Discuss
Correct Answer: Only II follows
Explanation:
Some forks are bowls + All bowls are plates = I + A = I = Some forks are plates ? conversion ? Some plates are forks(I). Hence II follows. Some forks are plates + Some plates are utensils = I + I = No conclusion Hence I does not follow. Some spoons are forks + Some forks are plates = I + I = NO conclusion Hence III and IV do not follow.
- 2. Statement:
All chairs are tables. All tables are desks. Some desks are benches. Some desks are sofas.
Conclusions:
I. Some benches are sofas.
II. Some sofas are tables.
III. Some benches are tables.
Iv. No chair is bench
Options- A. None follows
- B. Only I & II follows
- C. Only II & III follows
- D. Only I, II & III follow Discuss
Correct Answer: None follows
Explanation:
Some desks are benches ? (I) conversion ? Some benches are desks (I) + Some desks are sofas = I + I = No conclusion Hence I does not follow. All tables are desks + Some desks are sofas = A + I = No conclusion Hence II does not follow. All tables are desks + Some desks are benches + A + I = No conclusion Hence III does not follow. For the same reason IV too does not follow.
- 3. Statement:
Some sweets are chocolates. Some chocolates are mints. Some mints are food. Some food is diet.
Conclusions:
I. No sweets are diet.
II. No food is chocolates.
III. Some sweets are diet.
IV. Some sweets are food.
Options- A. None follows
- B. Either I or II follows
- C. Only III or IV follows
- D. Only II & III follows Discuss
Correct Answer: Either I or II follows
Explanation:
I-type statements can't be combined. However, I and III form a complementary I-E pair, Hence either I or III follows.
- 4. Statement:
All dolls are toys. Some toys are gems. Some gems are boxes. All boxes are sticks.
Conclusions:
I. Some sticks are gems.
II. Some gems are dolls.
III. Some sticks are dolls.
IV. Some toys are dolls.
Options- A. Only I follows
- B. Only II follows
- C. Only III and IV follow
- D. Only I and IV follow Discuss
Correct Answer: Only I and IV follow
Explanation:
Some gems are boxes + All boxes are sticks = I + A = I = Some gems are sticks ? Conversion ? Some sticks are gems (I) Hence I follows All dolls are toys + Some toys are gems No conclusion Hence II and consequently III do not follow. All toys are dolls (A) ? conversion ? Some toys are dolls (I) Hence IV follows.
- 5. Statement:
Some days are nights. Some nights are weeks. Some weeks are months. All months are years.
Conclusions:
I. Some years are nights.
II. Some years are days.
III. Some months are nights.
IV. Some years are weeks.
Options- A. Only I, II and III follow
- B. Only I, III and IV follow
- C. Only II, III and IV follow
- D. All follow Discuss
Correct Answer: Only I, III and IV follow
Explanation:
Some nights are weeks + All weeks are months = I + A = I = Some nights are month ? conversion ? Some months are nights (I) Hence III follows. = Some nights are month + All months are years = I + A = I Some nights are year ? conversion ? Some years are nights (I) Hence I follows. All weeks are months + All months are years = A + A = A = All weeks are years ? conversion ? Some years are weeks (I) Hence IV follows. Some days are nights + Some nights are years = I + I = No conclusion Hence II does not follow.
- 6. Statement:
Some doors are handles. All handles are pins. Some pins are threats. All threats are clothes.
Conclusions:
I. Some cloths are pins.
II. Some pins are doors.
III. Some clothes are handles.
IV. Some clothes are doors.
Options- A. Only II and III follow
- B. Only I, II and IV follow
- C. Only II, III and IV follow
- D. All follow Discuss
Correct Answer:
Explanation:
Some pins are threats + All threats are clothes = I + A = I = Some pins are clothes ? conversion ? Some clothes are pins (I) Hence I follows. Some doors are handles + All handles are pins = I + A = I = Some doors are pins ? conversion ? Some pins are doors (I) Hence II follows. All handles are pins + Some pins are clothes = I + A = No conclusion Hence III does not follow. Nor does IV follow consequently.
- 7. Statement:
Some papers are lamps. Some lamps are bulbs. Some bulbs are tube. Some tubes are walls.
Conclusions:
I. Some walls are lamps.
II. Some bulbs are papers.
III. Some tubes are lamps.
IV. Some walls are papers.
Options- A. Only I and II follow
- B. Only III and IV follow
- C. Only I, III and IV follow
- D. All follow Discuss
Correct Answer:
Explanation:
I-type statements can't be combined.
- 8. Statement:
All belts are rollers. Some rollers are wheels. All wheels are mats.
Some mats are cars.
Conclusions:
I. Some mats are rollers.
II. Some mats are belts.
III. Some cars are rollers.
IV. Some rollers are belts.
Options- A. Only I and II follow
- B. Only I, III and IV follow
- C. Only I and IV follow
- D. Only II, III and IV follow Discuss
Correct Answer: Only I and IV follow
Explanation:
Some rollers are wheels + All wheels are mats = I + A = I = Some rollers are mats ? conversion ? Some mats are rollers (I) Hence I follows. Some rollers are mats + Some mats are cars = I + I = No conclusion Hence III does not follow. All belts are rollers (A) ? conversion ? Some rollers are belts(I) Hence IV follows. All belts are rollers + Some rollers are mats = I + A = No conclusion Hence II does not follow.
- 9. Statement:
Some tyres are rains.
Some rains are flowers.
All flowers are jungles.
All jungles are tubes.
Conclusions:
I. Some jungles are tyres.
II. Some tubes are rains.
III. Some jungles are rains.
IV. Some tubes are flowers.
Options- A. Only I, II and III follow
- B. Only II, III and IV follow
- C. Only I, III and IV follow
- D. All follow Discuss
Correct Answer: Only II, III and IV follow
Explanation:
All flowers are jungles + All jungles are tubes = A + A = A = All flowers are tubes ? conversion ? Some tubes are flowers (I) Hence Iv follows. Some rains are flowers + All flowers are tubes = I + A = I = Some rains are tubes ? conversion ? Some tubes are rains (I) Hence II follows. Some rains are flowers + All flowers are jungles = I + A = I = Some rains are jungles ? conversion ? Some jungles are rains (I) Hence III follows. Some tyres are rains + Some rains are jungles = A + I = No conclusion Hence I does not follow.
- 10. Statement:
All desks are chairs.
All chairs are tables.
All tables are boxes.
All boxes are trunks
Conclusions:
I. Some trunks are tables.
II. All chairs are boxes.
III. Some boxes are desks.
IV. All desks are trunks.
Options- A. Only I, II and III follow
- B. Only I, II and IV follow
- C. Only II, III and IV follow
- D. All follow Discuss
Correct Answer: All follow
Explanation:
All tables are boxes + All boxes are trunks = A + A = A = All tables are ? trunks ? conversion Some trunks are tables (I) Hence I follows. All chairs are tables + All tables are boxes = A + A = A = All chairs are boxes Hence II follows. All desks are chairs + All chairs are boxes = A + A = A = All desks are boxes ? conversion ? some boxes are desks (I) Hence III follows. All desks are boxes + All boxes are trunks = A + A = A = All desks are trunks Hence IV follows.
More in Verbal Reasoning:
Programming
Copyright ©CuriousTab. All rights reserved.