SBI Clerks Model Papers – Page 20

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.

1. The average of 20 numbers is 28. Later, it was pointed out that value of one the numbers was wrongly taken as 72 instead of 87.
What is the correct average?
1) 32 2) 25.5 3) 30.75
4) 31.25 5) None of these

2. A number when divided by 136 leaves a remainder 71. If the same number is divided by 17, then the remainder will be
1) 4 2) 18 3) 3 4) Can’t be determined 5) None of these

3. How many square tiles of 20cm length will be required to pave a footpath 1m wide built around the outside of a grass plot 32m long
and 16m wide?
1) 1200 2) 1800 3) 3200 4) 2500 5) 2400

4. In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 5% in deficit. What is the change in its area
as a percentage?
1) 1.5% 2) 4.5% 3) 2.5% 4) 5% 5) None of theses

5. An amount of Rs.2730 is to be divided to three persons A, B and C such that 2 times of A’s share, 3 times of B’s share and 4 times
of C’s share are equal. Find the share of B?
1) Rs. 210 2) Rs. 1260 3) Rs. 840 4) Rs. 630 5) None of these

Directions (Q.6-10): Study the following graph carefully and answer the questions below that.
The following graph shows the production of wheat by two states A and B in various years. Production is in million tonnes

6. What is the average production of ‘B’ in all the years?
1) 22.3 million tonnes
2) 32.4 million tonnes
3) 28.7 million tonnes
4) 33.3 million tonnes
5) None of these

7. In which of the following years was the production of wheat of state ‘A’ same as the production of wheat of state ‘B’ in 2001?
1) 2003 2) 2006 3) 2002
4) 2005 5) None of these

8. In which of the following years was the increase/ decrease percent in the production of wheat of state ‘A’ the minimum comparing
to the previous year?
1) 2003 2) 2005 3) 2002
4) 2004 5) None of these

9. What is the decrement percent of the production of wheat of state ‘B’ in 2003 from 2002?
1) 15% 2) 14.2% 3) 12.5% 4) 7.5% 5) None of these

10. What is the difference in the production of state ‘A’ in 2002, 2005 together and production of State ‘B’ in 2003, 2005 together?
1) 10million tonnes 2) 18million tonnes
3) 13million tonnes 4) 27million tonnes 5) None of these

Directions (Q.11- 15): In each of the questions below, two equations
are provided. On the basis of these you have to find out the relation between P and Q.
Give answer 1) if P = Q or relationship can’t be established
Give answer 2) if P > Q
Give answer 3) if P < Q Give answer 4) if P ≥ Q Give answer 5) if P ≤ Q 11. P2 – P - 6 = 0 ; Q2 – 3Q - 10 = 0 12. 2P2 – 3P + 5 = 3 + 2P2; 6Q – 7 = 3Q – 5 13. 4P2 – 23P +15 = 0 ; 2Q2 – 11Q + 5 = 0 14. 5P + Q = 11; P + 3Q = 5 15. P2 – 6P -16 = 0; Q2 – 6Q - 40 = 0 Directions (Q.16 - 18): Each of the following questions below consists of a question and three statements A, B and C. You have to study the questions and the statements and decide whether the question can be answered with any one or two or all of the statements together. 16. What is the length of the tunnel? A) Train crosses the tunnel in 40 sec. B) The train, which is 450m long crosses a man in 30sec.. C) The speed of the train is 54kmph. 1) A and C 2) B and C 3) A and B 4) All the three 5) None of these 17. Find the age of the supervisor? A) There are 5 workers and a supervisor in the company. B) The average age of the workers is 24 years. C) The average age increases by 2 years if the supervisor's age is also included. 1) only A 2) A and C 3) only B 4) All the three 5) None of these 18. What is the length of the rectangle? A) Area of the square whose side is equal to the breadth of the rectangle is 144 sq m. B) The length of the rectangle is 25% more than its breadth. C) The breadth of the rectangle is 12m. 1) A and B 2) B and C 3) A and C 4) 1 or 2 5) Any two ANSWERS:

1) 5 2) 3 3) 4 4) 2 5) 3 6) 4 7) 4 8) 2 9) 3 10) 1 11) 5 12) 1 13) 4
14) 2 15) 1 16) 3 17) 4 18) 4.

SBI Clerk Posts Reasoning Quastions and Answers with Explanations

IBPS Quantitative Aptitude Model Questions with Answers