1. 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?
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
2. 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?
Answer:
G.
Explanation:
The order in
which they are climbing is R – G – K – H – J
3-6 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.
3. Pigeon publishes ____________.
4. The novel by Gorky
________________.
5. John purchases books by the authors
whose names come first and third in alphabetical order. He does not buy the
books ______.
6. 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.
3 – 6
Answer:
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.
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