截至到7-7月数学JJ 探讨 (续cruzermicro贴）

wsquareUID：2552873

7-7!!!!!!!!!!!!!

1

Col A: Area of the shaded region OAB
Col B: Area of the triangle ODC

2.  What is the least common factor of 123 x 255
A. 3
B. 7
C. 17
& so on….
3. If x, y are positive integers and = , then
Col A: x
Col B: y

4. If |J + 2|< 5 and |(k+1)2|>16, then
Col A: JK
Col B: 15
(Similar to this)

5. If 22n+1- 22n=21000, then what is the value of n?

6. Col A: Standard Deviation of u, v and w
Col B: Standard Deviation of u+3, v+3 and w+3

7. If x > 0, y > x and xy= 64, then
Col A: x
Col B: 2

8. Given figures of a regular pentagon and an equilateral triangle. Ifperimeter of pentagon is equal to twice the perimeter of equilateraltriangle, then
Col A: Side length of the pentagon
Col B: Side length of equilateral triangle

9

If <A = 100⁰, then what is the average of the remaining angles?

10. Given two line equations and asked to find the angle between them?

11. Given a line equation and asked to find the x-intercept of the line?



续 cruzermicro 的jj汇集表 （https://bbs.gter.net/thread-977905-1-1.html）， 为了专攻数学部分！多谢了楼主！

数学-------------------------------------------------------------------------------------------------------------------------
7/3
是印度的机经，大家一起找出答案吧

1.There is a square with side 10m. On top of the square there is onesemicircle withits diameter on one side of the square (diameter length= side length). Onepoint on the semicircle is chosen and aperpendicular is drawn on to the squarewhich divides the side of thesquare in 8:2. Find the length of theperpendicular?
ANSWER: 4


2. Given N= v * w * x * y * z - (v+w+x+y+z). If ‘N’ is an even integer,then how many of v, w, x, y, z will need to be even numbers?
POSSIBLE ANSWER: ____________

3. If |x| 6; |y| 4, then find the greatest possible value of |x/y|?
POSSIBLE ANSWER:无穷大

4. The probability of raining tomorrow is 0.49.
Col A: The probability that it will rain tomorrow and George eats the food
Col B: 0.54
POSSIBLE ANSWER: (B)

5. Given equation of the circle as x2 +y2  = 49. If twopoints (0, b) and (4, a)lie on the circle, then what is the slope ofthe line?
POSSIBLE ANSWER: 有4个斜率~第一点可能为(0, 7),(0, -7) ,第二点可能为 (4, sqa33), (4, -sqa33)

6.


Col A: (Remaining angles)

Col B: 55°
POSSIBLE ANSWER: c (unclear question: x是用来干什麽的?)

7.If twice the average of x, y and z, when divided by 7 givesremainder1, then what is the remainder, when average  x, y and z isdivided by 7?
POSSIBLE ANSWER:待定

8.


Given the area of the circle as 16π, asked to find the perimeter of shaded region OAB?
POSSIBLE ANSWER:8+2pie

9. Given arithmetic mean of p, q, r as 10. If arithmetic mean of p, q, r, x is 15, then
Col A: x/2
Col B: 15
(Similar to this)
POSSIBLE ANSWER:c

7/5
"数学有考到正态分布，一个标准差内是86%，两个标准差内是95%， 问从第一个到第二个是多少百分比？
第一个题我想了好半天。。 N是整数，N-5/2也是整数，问以下哪个一定是整数。我的方法是直接代数。"

wsquareUID：2552873

1. Shouldn't the perpendicular be more than 5? My answer is sqrt 89 +5...

2. 0. All odds and N can still be an even.

3. D ,unless y is written not equal to 0.

4. B. Almost put D..

5. -(sqrt33)/3, sqrt33/11 ... weird question.

6. A . Half of remaining angles = 110 ?

7. 4

8. 8+2π

9.C

yaobing1982_1UID：2140392

请问这道题是什么意思，帮忙给解释一下？谢谢了
"数学有考到正态分布，一个标准差内是86%，两个标准差内是95%， 问从第一个到第二个是多少百分比？
第一个题我想了好半天。。 N是整数，N-5/2也是整数，问以下哪个一定是整数。我的方法是直接代数。"

earnest007UID：23304

一个标准偏差是68%, 两个是95%, 题目应该是写错啦..

第一个到第二个就是95%-68%=27%

wsquareUID：2552873

第1，7 题 有更好的计算方法吗？

mms23UID：2627662

7/3第七題
remainder = 4
硬算也可以求出.

另外有7/7的解嗎?!謝謝了

wsquareUID：2552873

7/3 - 第1题，有谁的答案是 sqrt 89 +5 ?

7/5
1. B
2. 3 x 5 x 17 x41
3. C
4. D -15<jk<35
5.  n=500
6. C
7. C
8. A
9. 40deg
10.. 在想，有计算捷径吗？ 除了想到 tan X 的equation

mms23UID：2627662

hi wsquare~
請問那有 7/5 的題目呢?!可以請你貼一下嗎!?謝謝了

另外我看到6月有一題是
ABCD is a parallelogram.
Line segment AB=BC=10
colA: 1/2 (segment AC)
colB: 8
請問答案是?

wsquareUID：2552873

5/7 的题目就在 #1 ， 我已更新了。

这个应该有图对吗？ 不然很难理解 AB＝BC 的含义。 我可能理解abcd 是个 rhombus ？

mms23UID：2627662

這是7/2 新加坡
1. 四個房子，有3種漆，請問有幾種組合顏色的房子?
2. 一塊正方體，外面塗成紅漆，切割成27塊，請問有幾個面是紅色的?
3. 一條線 L，斜率 = -1，不通過原點，請問X和Y截距比大小?
4. 10個數字的等差數列，第二個開始，是前面那個數 "減7"，
如果第7個數是42，那麼第三個數是多少? (第一題)
5. P的機率是<0.25，請問 非P (~P) 的機率 和 0.75 比大小
6. a是正整數，a>7，請問a的質因數的數目 和 2 比大小
7. X平方+Y平方 = 2XY，請問 X-Y=?

yaobing1982_1UID：2140392

4# earnest007
谢谢！

luckywwUID：2132580

我一直想知道，那个圆，它标的O就一定是圆点吗？

mms23UID：2627662

在印度那看到的~大家寫個答案吧!

1. What is the value of

2. In a survey, if atleast 40% had 1 dog, atleast 40% had 1 cat and 30% had none, then what is the ratio of people who have one cat and one dog to those who have one dog?

3. How many even integers have squares between 37 and 621?

4. Given a list of 12 numbers which are positive and even. If their sum is 50, then
Col A: Range of the twelve numbers list
Col B: 20

5. In n>10000, then
Col A: Thousand's digit of n/8
Col B: 7

6. In a distribution of 8500 parameters, if 26.7 is 56 percentile and 37.1 is 78 percentile, then what is the percentile of x (26.7 x 37), that is closest in this range?
A. 1888
B. 4750
C. 6650
& so on....

7. Given 2 < a < 4 < b < 10. If the average of 3, 6, 9, a, b is 6, then
Col A: a - b
Col B: 4

8. Given 'N' as a positive integer, such that when it is multiplied with 3/5 and resultant is divided with 7/10, it equals which of the following option?
A. N x (6/7)
B. N/(5/2)
& so on...

9. Given two circles that are concentric having radii 2 and 5. If the tangent to the smaller circle intersects the bigger circle at ‘S’ and ‘T’, then what is the length of ‘ST’?

10. If slope of a line L1 is -2 and L2 is &frac12;, then what is the angle between the lines?

11. If 0 < a < b < c, then
Col A: b/a
Col B: c/b

12. Given a triangle with three sides a = 4, b = 3 and c = 6
Col A: Angle between the sides a and b
Col B: 90

13.If the sides of a parallelogram are 16 and 10, then
Col A: The area of parallelogram
Col B: 155

14. If probability of receiving a bust tone is 1/3, then
Col A: The probability of not receiving a busy tone, when tried 4 times
Col B: 1/4

16.The value of (5x>4) +2 (5 – 8 + 3) is …………

greenxsUID：2529289

第一个是什么，没贴全