13. Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?

14. Five boys were climbing a hill. J was following H. R was just ahead of G. K was between G & H. They were climbing up in a column. Who was the second?

15-18 John is undecided which of the four novels to buy. He is considering a spy

thriller, a Murder mystery, a Gothic romance and a science fiction novel. The books are written by Rothko, Gorky, Burchfield and Hopper, not necessary in that order, and published by Heron, Piegon, Blueja and sparrow, not necessary in that order.

(1) The book by Rothko is published by Sparrow.

(2) The Spy thriller is published by Heron.

(3) The science fiction novel is by Burchfield and is not published by Blueja.

(4)The Gothic romance is by Hopper.

15. Pigeon publishes ____________.

16. The novel by Gorky ________________.

17. John ¬purchases books by the authors whose names come first and third in alphabetical order. He does not buy the books ¬¬______.

18. On the basis of the first paragraph and statement (2), (3) and (4) only, it is possible to deduce that

1. Rothko wrote the murder mystery or the spy thriller

2. Sparrow published the murder mystery or the spy thriller

3. The book by Burchfield is published by Sparrow.

19. If a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?

20. If point P is on line segment AB, then which of the following is always true?

(1) AP = PB (2) AP > PB (3) PB > AP (4) AB > AP (5) AB > AP + PB

21. All men are vertebrates. Some mammals are vertebrates. Which of the following conclusions drawn from the above statement is correct.

All men are mammals

All mammals are men

Some vertebrates are mammals.

None

22. Which of the following statements drawn from the given statements are correct?

Given:

All watches sold in that shop are of high standard. Some of the HMT watches are sold in that shop.

a) All watches of high standard were manufactured by HMT.

b) Some of the HMT watches are of high standard.

c) None of the HMT watches is of high standard.

d) Some of the HMT watches of high standard are sold in that shop.

23-27.

1. Ashland is north of East Liverpool and west of Coshocton.

2. Bowling green is north of Ashland and west of Fredericktown.

3. Dover is south and east of Ashland.

4. East Liverpool is north of Fredericktown and east of Dover.

5. Fredericktown is north of Dover and west of Ashland.

6. Coshocton is south of Fredericktown and west of Dover.

23. Which of the towns mentioned is furthest of the north – west

(a) Ashland (b) Bowling green (c) Coshocton

(d) East Liverpool (e) Fredericktown

24. Which of the following must be both north and east of Fredericktown?

(a) Ashland (b) Coshocton (c) East Liverpool

I a only II b only III c only IV a & b V a & c

25. Which of the following towns must be situated both south and west of at least one other town?

A. Ashland only

B. Ashland and Fredericktown

C. Dover and Fredericktown

D. Dover, Coshocton and Fredericktown

E. Coshocton, Dover and East Liverpool.

26. Which of the following statements, if true, would make the information in the numbered statements more specific?

(a) Coshocton is north of Dover.

(b) East Liverpool is north of Dover

(c) Ashland is east of Bowling green.

(d) Coshocton is east of Fredericktown

(e) Bowling green is north of Fredericktown

27. Which of the numbered statements gives information that can be deduced from one or more of the other statements?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 6

28. Eight friends Harsha, Fakis, Balaji, Eswar, Dhinesh, Chandra, Geetha, and Ahmed are sitting in a circle facing the center. Balaji is sitting between Geetha and Dhinesh. Harsha is third to the left of Balaji and second to the right of Ahmed. Chandra is sitting between Ahmed and Geetha and Balaji and Eshwar are not sitting opposite to each other. Who is third to the left of Dhinesh?

29. If every alternative letter starting from B of the English alphabet is written in small letter, rest all are written in capital letters, how the month “ September” be written.

(1) SeptEMbEr (2) SEpTeMBEr (3) SeptembeR

(4) SepteMber (5) None of the above.

30. The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______.

31. It takes Mr. Karthik y hours to complete typing a manuscript. After 2 hours, he was called away. What fractional part of the assignment was left incomplete?

32. Which of the following is larger than 3/5?

(1) ½ (2) 39/50 (3) 7/25 (4) 3/10 (5) 59/100

33. The number that does not have a reciprocal is ¬¬¬____________.

34. There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.

35. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs.¬¬¬¬_______ for the horse and Rs.________ for the cart.

14. Five boys were climbing a hill. J was following H. R was just ahead of G. K was between G & H. They were climbing up in a column. Who was the second?

15-18 John is undecided which of the four novels to buy. He is considering a spy

thriller, a Murder mystery, a Gothic romance and a science fiction novel. The books are written by Rothko, Gorky, Burchfield and Hopper, not necessary in that order, and published by Heron, Piegon, Blueja and sparrow, not necessary in that order.

(1) The book by Rothko is published by Sparrow.

(2) The Spy thriller is published by Heron.

(3) The science fiction novel is by Burchfield and is not published by Blueja.

(4)The Gothic romance is by Hopper.

15. Pigeon publishes ____________.

16. The novel by Gorky ________________.

17. John ¬purchases books by the authors whose names come first and third in alphabetical order. He does not buy the books ¬¬______.

18. On the basis of the first paragraph and statement (2), (3) and (4) only, it is possible to deduce that

1. Rothko wrote the murder mystery or the spy thriller

2. Sparrow published the murder mystery or the spy thriller

3. The book by Burchfield is published by Sparrow.

19. If a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?

20. If point P is on line segment AB, then which of the following is always true?

(1) AP = PB (2) AP > PB (3) PB > AP (4) AB > AP (5) AB > AP + PB

21. All men are vertebrates. Some mammals are vertebrates. Which of the following conclusions drawn from the above statement is correct.

All men are mammals

All mammals are men

Some vertebrates are mammals.

None

22. Which of the following statements drawn from the given statements are correct?

Given:

All watches sold in that shop are of high standard. Some of the HMT watches are sold in that shop.

a) All watches of high standard were manufactured by HMT.

b) Some of the HMT watches are of high standard.

c) None of the HMT watches is of high standard.

d) Some of the HMT watches of high standard are sold in that shop.

23-27.

1. Ashland is north of East Liverpool and west of Coshocton.

2. Bowling green is north of Ashland and west of Fredericktown.

3. Dover is south and east of Ashland.

4. East Liverpool is north of Fredericktown and east of Dover.

5. Fredericktown is north of Dover and west of Ashland.

6. Coshocton is south of Fredericktown and west of Dover.

23. Which of the towns mentioned is furthest of the north – west

(a) Ashland (b) Bowling green (c) Coshocton

(d) East Liverpool (e) Fredericktown

24. Which of the following must be both north and east of Fredericktown?

(a) Ashland (b) Coshocton (c) East Liverpool

I a only II b only III c only IV a & b V a & c

25. Which of the following towns must be situated both south and west of at least one other town?

A. Ashland only

B. Ashland and Fredericktown

C. Dover and Fredericktown

D. Dover, Coshocton and Fredericktown

E. Coshocton, Dover and East Liverpool.

26. Which of the following statements, if true, would make the information in the numbered statements more specific?

(a) Coshocton is north of Dover.

(b) East Liverpool is north of Dover

(c) Ashland is east of Bowling green.

(d) Coshocton is east of Fredericktown

(e) Bowling green is north of Fredericktown

27. Which of the numbered statements gives information that can be deduced from one or more of the other statements?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 6

28. Eight friends Harsha, Fakis, Balaji, Eswar, Dhinesh, Chandra, Geetha, and Ahmed are sitting in a circle facing the center. Balaji is sitting between Geetha and Dhinesh. Harsha is third to the left of Balaji and second to the right of Ahmed. Chandra is sitting between Ahmed and Geetha and Balaji and Eshwar are not sitting opposite to each other. Who is third to the left of Dhinesh?

29. If every alternative letter starting from B of the English alphabet is written in small letter, rest all are written in capital letters, how the month “ September” be written.

(1) SeptEMbEr (2) SEpTeMBEr (3) SeptembeR

(4) SepteMber (5) None of the above.

30. The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______.

31. It takes Mr. Karthik y hours to complete typing a manuscript. After 2 hours, he was called away. What fractional part of the assignment was left incomplete?

32. Which of the following is larger than 3/5?

(1) ½ (2) 39/50 (3) 7/25 (4) 3/10 (5) 59/100

33. The number that does not have a reciprocal is ¬¬¬____________.

34. There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.

35. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs.¬¬¬¬_______ for the horse and Rs.________ for the cart.

13. Answer:

11 & 9 apples per tree.

Explanation:

Let a, b, c, d & e be the total number of apples bored per year in A, B, C, D & E ‘s orchard. Given that a + 1 = b + 3 = c – 1 = d + 3 = e – 6

But the question is to find the number of apples bored per tree in C and D ‘s orchard. If is enough to consider c – 1 = d + 3.

Since the number of trees in C’s orchard is 11 and that of D’s orchard is 13. Let x and y be the number of apples bored per tree in C & d ‘s orchard respectively.

Therefore 11 x – 1 = 13 y + 3

By trial and error method, we get the value for x and y as 11 and 9

14. Answer:

G.

Explanation:

The order in which they are climbing is R – G – K – H – J

15 – 18

Answer:

Novel Name Author Publisher

Spy thriller Rathko Heron

Murder mystery Gorky Piegon

Gothic romance Burchfield Blueja

Science fiction Hopper Sparrow

Explanation:

Given

Novel Name Author Publisher

Spy thriller Rathko Heron

Murder mystery Gorky Piegon

Gothic romance Burchfield Blueja

Science fiction Hopper Sparrow

Since Blueja doesn’t publish the novel by Burchfield and Heron publishes the novel spy thriller, Piegon publishes the novel by Burchfield.

Since Hopper writes Gothic romance and Heron publishes the novel spy thriller, Blueja publishes the novel by Hopper.

Since Heron publishes the novel spy thriller and Heron publishes the novel by Gorky, Gorky writes Spy thriller and Rathko writes Murder mystery.

19. Answer:

451 times.

Explanation:

There are 60 minutes in an hour.

In ¾ of an hour there are (60 * ¾) minutes = 45 minutes.

In ¾ of an hour there are (60 * 45) seconds = 2700 seconds.

Light flashed for every 6 seconds.

In 2700 seconds 2700/6 = 450 times.

The count start after the first flash, the light will flashes 451 times in ¾ of an hour.

20. Answer:

(4)

Explanation:

P

A B

Since p is a point on the line segment AB, AB > AP

21. Answer: (c)

22. Answer: (b) & (d).

Ahmed

23 - 27.Answer:

Fakis Chandra

28. Answer: Fakis

Explanation: Harsha Geetha

Eswar Balaji

Dhinesh

29. Answer:

(5).

Explanation:

Since every alternative letter starting from B of the English alphabet is written in small letter, the letters written in small letter are b, d, f...

In the first two answers the letter E is written in both small & capital letters, so they are not the correct answers. But in third and fourth answers the letter is written in small letter instead capital letter, so they are not the answers.

30. Answer:

x = 4

Explanation:

Since the side of the square is x + 2, its perimeter = 4 (x + 2) = 4x + 8

Since the side of the equilateral triangle is 2x, its perimeter = 3 * 2x = 6x

Also, the perimeters of both are equal.

(i.e.) 4x + 8 = 6x

(i.e.) 2x = 8 ? x = 4.

31. Answer:

(y – 2) / y.

Explanation:

To type a manuscript karthik took y hours.

Therefore his speed in typing = 1/y.

He was called away after 2 hours of typing.

Therefore the work completed = 1/y * 2.

Therefore the remaining work to be completed = 1 – 2/y.

(i.e.) work to be completed = (y-2)/y

32. Answer:

(2)

33. Answer:

1

Explanation:

One is the only number exists without reciprocal because the reciprocal of one is one itself.

34. Answer:

Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.

Explanation:

Sudhir Arvind Gauri

Finally 24 24 24

Before Gauri’s transaction 12 12 48

Before Arvind’s transaction 6 42 24

Before Sudhir’ s transaction 39 21 12

35. Answer:

Cost price of horse: Rs. 400 &

Cost price of cart: Rs. 200

Explanation:

Let x be the cost of horse & y be the cost of the cart.

10 % of loss in selling horse = 20 % of gain in selling the cart

Therefore (10 / 100) * x = (20 * 100) * y

? x = 2y -----------(1)

5 % of loss in selling the horse is 10 more than the 5 % gain in selling the cart.

Therefore (5 / 100) * x - 10 = (5 / 100) * y

? 5x - 1000 = 5y

Substituting (1)

10y - 1000 = 5y

5y = 1000

y = 200

x = 400 from (1)

11 & 9 apples per tree.

Explanation:

Let a, b, c, d & e be the total number of apples bored per year in A, B, C, D & E ‘s orchard. Given that a + 1 = b + 3 = c – 1 = d + 3 = e – 6

But the question is to find the number of apples bored per tree in C and D ‘s orchard. If is enough to consider c – 1 = d + 3.

Since the number of trees in C’s orchard is 11 and that of D’s orchard is 13. Let x and y be the number of apples bored per tree in C & d ‘s orchard respectively.

Therefore 11 x – 1 = 13 y + 3

By trial and error method, we get the value for x and y as 11 and 9

14. Answer:

G.

Explanation:

The order in which they are climbing is R – G – K – H – J

15 – 18

Answer:

Novel Name Author Publisher

Spy thriller Rathko Heron

Murder mystery Gorky Piegon

Gothic romance Burchfield Blueja

Science fiction Hopper Sparrow

Explanation:

Given

Novel Name Author Publisher

Spy thriller Rathko Heron

Murder mystery Gorky Piegon

Gothic romance Burchfield Blueja

Science fiction Hopper Sparrow

Since Blueja doesn’t publish the novel by Burchfield and Heron publishes the novel spy thriller, Piegon publishes the novel by Burchfield.

Since Hopper writes Gothic romance and Heron publishes the novel spy thriller, Blueja publishes the novel by Hopper.

Since Heron publishes the novel spy thriller and Heron publishes the novel by Gorky, Gorky writes Spy thriller and Rathko writes Murder mystery.

19. Answer:

451 times.

Explanation:

There are 60 minutes in an hour.

In ¾ of an hour there are (60 * ¾) minutes = 45 minutes.

In ¾ of an hour there are (60 * 45) seconds = 2700 seconds.

Light flashed for every 6 seconds.

In 2700 seconds 2700/6 = 450 times.

The count start after the first flash, the light will flashes 451 times in ¾ of an hour.

20. Answer:

(4)

Explanation:

P

A B

Since p is a point on the line segment AB, AB > AP

21. Answer: (c)

22. Answer: (b) & (d).

Ahmed

23 - 27.Answer:

Fakis Chandra

28. Answer: Fakis

Explanation: Harsha Geetha

Eswar Balaji

Dhinesh

29. Answer:

(5).

Explanation:

Since every alternative letter starting from B of the English alphabet is written in small letter, the letters written in small letter are b, d, f...

In the first two answers the letter E is written in both small & capital letters, so they are not the correct answers. But in third and fourth answers the letter is written in small letter instead capital letter, so they are not the answers.

30. Answer:

x = 4

Explanation:

Since the side of the square is x + 2, its perimeter = 4 (x + 2) = 4x + 8

Since the side of the equilateral triangle is 2x, its perimeter = 3 * 2x = 6x

Also, the perimeters of both are equal.

(i.e.) 4x + 8 = 6x

(i.e.) 2x = 8 ? x = 4.

31. Answer:

(y – 2) / y.

Explanation:

To type a manuscript karthik took y hours.

Therefore his speed in typing = 1/y.

He was called away after 2 hours of typing.

Therefore the work completed = 1/y * 2.

Therefore the remaining work to be completed = 1 – 2/y.

(i.e.) work to be completed = (y-2)/y

32. Answer:

(2)

33. Answer:

1

Explanation:

One is the only number exists without reciprocal because the reciprocal of one is one itself.

34. Answer:

Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.

Explanation:

Sudhir Arvind Gauri

Finally 24 24 24

Before Gauri’s transaction 12 12 48

Before Arvind’s transaction 6 42 24

Before Sudhir’ s transaction 39 21 12

35. Answer:

Cost price of horse: Rs. 400 &

Cost price of cart: Rs. 200

Explanation:

Let x be the cost of horse & y be the cost of the cart.

10 % of loss in selling horse = 20 % of gain in selling the cart

Therefore (10 / 100) * x = (20 * 100) * y

? x = 2y -----------(1)

5 % of loss in selling the horse is 10 more than the 5 % gain in selling the cart.

Therefore (5 / 100) * x - 10 = (5 / 100) * y

? 5x - 1000 = 5y

Substituting (1)

10y - 1000 = 5y

5y = 1000

y = 200

x = 400 from (1)