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55 more pens

0.6 P + 0.4 Pencil= 0.44*25=11

But how is the 55 outcome

In an entrance test, a candidate is required to attempt a total of 4 questions which are to be attempted from 2 sections, each containing 5 questions. The maximum number of questions that he can attempt from any section is 3. In how many ways can he answer the test?
(A) 150
(B) 100
(C) 200
(D) 250
(E) 300

The correct option is B
200


The number of ways that it can be done =
5C2*5C3+5C3*5C2=200

Option B 200

1st case 5C1*5C3= 50 2nd case 5C2*5C2=100 & 3rd case 5C1*

3rd case 5C3*5C1= 50 .combining all of them is 200.

In the xy-plane, point A has coordinates (0,-p) and point B has coordinates (V2p-4,4-2p). What is the length of line segment AB?
(1)
12p - 2p? = 16
(2)
p > 3

Consider an office of 45 employees, whose average age is 40 years. ‘x’ new employees join this office, whose average age is ‘y’ years. If it is known that×+y=50,thenwhatcanbethe maximum possible average age of all the employees now?

Let’s take the average age of all the guys, which is (a+b+c+..+d)/45=40. Another is (m+n+...+l)/x=y, where x+y=50 and y=50-x.
Average ages for everyone may be (a+b+c+..+d+m+n+..+l)/(45+x)=>; what is the maximum for that?

[-x2+50x+1800]/(45+x)=> (45*40+x*y)/(45*40+x*(50-x))/(45+x)=(45*40+x*(50-x)) To determine this function’s maximum value, we can utilize the derivative in this case. If we do, it would look something like this: [(-2x+50)*(45+x)-(-x26+50x+1800)]/(45+x)2=0 -x2-90x+450=0 x1=5 (about 4.8), x2=-95, for here we will take 5 since we need a greater value. When we use the previous function, [-x2+50x+1800]/(45+x), the result could be 40.5 or so.)

PS Question 1 - July 13

Set T consists of 100 consecutive odd integers. If k is an integer, which of the following CANNOT equal the median of set T?

A) k² - k - 6
B) k² + 8k + 15
C) 4k² + 4k + 1
D) k³ - 4k² - k
E) 3k³ - 27k²

Source: GMATPrepNow | Difficulty: Hard

DS Question 1 - July 13

What is the value of xy?

(1) 3^x * 5^y = 75
(2) 3^[(x-1)(y-2)] = 1

Source: GMAT Club Tests | Difficulty: Hard

median has to be even for the 100 consecutive odd integers. only Option C ensures that the result is odd and hence it can’t be the median of set T

A - option 1 is sufficient to answer the question

C

200 children came to the park last sunday. All of the older children rode bicycles into the park and all of the younger children came on tricycles. 480 wheels rode into the park that day, all of them functioning on the children’s bicycles or tricycles. how many younger children came to the park last sunday? explain this math ans

2*X+(200-X)*3=480
X=120
Therefore, that would be 120 Children and 80 younger children

If a truck can carry 10 to 16 boxed refrigerators, then what is the least number of refrigerators that 4 trucks can carry? explain ans this math

option- a) 40 b)52 c)48 d) 64

its ans is 48. but i don’t know how this math calculated?

its 40 in every sense as least number of boxes are 10

it doesn’t say 10 is included and next term should be 11 but 44 is not there in option so if we do 12*4 it comes ouut to be 48 which could be the answer