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11th April 2013, 02:04 PM
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Join Date: Apr 2013
Re: Japan high school entrance exams

As you are looking for Japan high school entrance exams .

Here I am providing you the details of Japan High School .

In Japan the National Center Test for University Admissions is a nationally standardized entrance exam for higher education .

Often students attend a cram school which is also known as juku in Japan in order to prepare as much as they can for the exam.

Here I am providing you some questions of Mathematics :

1. Suppose the polynomial P(x) with integer coefficients satisfies
the following conditions:

(A) If P(x) is divided by x2 − 4x + 3, the remainder is 65x − 68.
(B) If P(x) is divided by x2 + 6x − 7, the remainder is −5x + a.
Then we know that a = {1}.
Let us find the remainder bx + c when P(x) is divided by x2 +
4x − 21.
Condition (A) implies that {2} b+c = {3}{4}{5} and a = {1}.
Condition (B) implies that {6}{7} b + c = {8}{9}. It follows that
b = {10} and c = {11}{12}{13}.

2. Fill in the blanks in statements (A) through (D) with the appropriate
phrase [1], [2], [3] or [4] listed below:

(A) Given sets A, B, A ∪ B = A is {14} for A ∩ B = B.
(B) For some integer n, n2 being some multiple of 12 is {15} for
n being a multiple of 12.
(C) The center of the circle inscribed in triangle T coinciding with
the center of the circle which circumscribes triangle T is {16} for triangle T to be an equilateral triangle.

(D) Given real numbers a, b, and c,
|a + b + c| = |a| + |b| + |c|
is {17} for ab + bc + ca ≥ 0.

[1] a necessary and sufficient condition
[2] a necessary but not sufficient condition
[3] a sufficient but not necessary condition
[4] neither a sufficient nor a necessary condition

For your reference here I am providing you an attachment pdf :
Attached Files
File Type: pdf japan high school entrance exams.pdf (534.0 KB, 181 views)


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