Quote: Originally Posted by Inder.14 View Post Before being simplified, The instruction for computing incometax in country R were to add 2 percent of one's annual income to the average(arithmatic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax,in Country R's currency. for a person in that country whose annual income is I. a) 50 + I/200 b) 50 + 3I/100 c) 50 +I/40 d) 100+I/50 e) 100 +3I/100
2% of annual income = 2I/100 100 units of country R's currency = 100 1% of annual income = I/100
Average of 100 units of R's currency and 1% of annual income = / 2
Therefore together--> (2I/100) + / 2
Solve to get 50 + I/40.
Hope this helps!
Is it 50 + I/40 ?!
Quote: Originally Posted by Inder.14 View Post Before being simplified, The instruction for computing incometax in country R were to add 2 percent of one's annual income to the average(arithmatic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax,in Country R's currency. for a person in that country whose annual income is I. a) 50 + I/200 b) 50 + 3I/100 c) 50 +I/40 d) 100+I/50 e) 100 +3I/100
Equation x + y = 5 encloses a certain region on the coordinate plane. What is the area of this region?
5 10 25 50 100
Hey - can somebody xplain this one ?
I guess the answer should be 50.. on solving this equation you will find that it will cut the co-ordinate axis at (5,0),(0,5),(-5,0) and (0,-5) when you join all four points you will get 4 similar triangles area of one will be 1/2*5*5 so area of four such trianles will be 4*1/2*5*5 = 50 sq. unit
or it will be a rohmus with 10 units each on X and Y axis as diagonal............ Area will be 1/2*d1*d2=1/2*10*10=50 sq. unit correct me if i am not
Please help me with the following questions (with explanations):
1. A basket contains 5 apples of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously & at random, what is the probability that the 2 apples selected will include the spoiled apple? A.1/5 B.3/10 C.2/5 D.1/2 E.3/5
2. When a certain tree was first planted, it was 4 ft tall & the height of the tree increased by a constant amount each year for the next 6 yrs. At the end of 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of tree increase each year? A.3/10 B.2/5 C.1/2 D.2/3 E.6/5
Please help me with the following questions (with explanations):
1. A basket contains 5 apples of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously & at random, what is the probability that the 2 apples selected will include the spoiled apple? A.1/5 B.3/10 C.2/5 D.1/2 E.3/5
2. When a certain tree was first planted, it was 4 ft tall & the height of the tree increased by a constant amount each year for the next 6 yrs. At the end of 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of tree increase each year? A.3/10 B.2/5 C.1/2 D.2/3 E.6/5
Regards MSD
1) find the probability that the selected apples donot contain spoilt apple. i.e. 4C2/5C2=6/10=0.6 Now, the probablity that the spoilt apple is selected=1-0.6=0.4=2/5
2) let the amount by which tree grows be x ft. hence, as per given condition, 4+6x=6/5*(4+4x) x=2/3 ft.
Need help with the following data sufficiency questions:
A. An integer freater than 1 that is not prime is called composite. If the two digit integer n is greater than 20, is n composite? 1. The tens digit of n is a factor of the units digit of n 2. The tens digit of n is 2
B. If the terms of a sequence are t1, t2, t3......tn what is the value of n? 1. The sum of n terms is 3124 2. The average (arithmatic mean) of n terms is 4
C. In the xy plane, what is the y intercept of Line L 1. The slope of line L is 3 times its y intercept 2. the x intercept of line L is -1/3
D. Of the 60 animals on a certain farm 2/3 are either pigs or cows. how many of the animals are cows? 1. The farm has more than twice as many cows are it has pigs 2. The farm has more than 12 pigs
E. In a typical rectangular coordinate system (I, II, III, IV quadrants), does line K intersect quandrant II? 1. The slope of K is -1/6 2. The Y intercept of K is -6
What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?
What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?
Yes, but can you pls explain how did you get the answer ?
consider the attachhed fig, here Ap=PB is very obvious but to maximise the area, the height of each of the triangles OPB and OPA must be equal to their bases....i.e. OP=AP=PB. this makes the triangle a 45-45-90 triangle. AP=PB=OP=r/sqrt(2)=1/sqrt(2) area of OPA=0.5*1/1/sqrt(2)*1/sqrt(2)=0.25 area of OAB=2* area of OPA=1/2
Need help with the following data sufficiency questions:
A. An integer freater than 1 that is not prime is called composite. If the two digit integer n is greater than 20, is n composite? 1. The tens digit of n is a factor of the units digit of n 2. The tens digit of n is 2
B. If the terms of a sequence are t1, t2, t3......tn what is the value of n? 1. The sum of n terms is 3124 2. The average (arithmatic mean) of n terms is 4
C. In the xy plane, what is the y intercept of Line L 1. The slope of line L is 3 times its y intercept 2. the x intercept of line L is -1/3
D. Of the 60 animals on a certain farm 2/3 are either pigs or cows. how many of the animals are cows? 1. The farm has more than twice as many cows are it has pigs 2. The farm has more than 12 pigs
E. In a typical rectangular coordinate system (I, II, III, IV quadrants), does line K intersect quandrant II? 1. The slope of K is -1/6 2. The Y intercept of K is -6
Regards MSD
@MSD,
Following are my answers -
1. E 2. C 3. C 4. Not sure 5. A
What are the correct anwers ? If mine are correct, I'll post the explanations.
Don't you think the question is lil confusing it says "intersecting". Should we consider those points also at which the triangle is just touching the circle but not intersecting it. If not, then the correct answer will be 2,4,6.
Can the remaining slices of a pizza be split evenly between Tom and Gerry without leftovers and without any further cuts? (All slices are identical.)
(1) If the pizza were split among Tom, Gerry and Gillian, there would be one 2 slices left over. (2) If Gillan eats four of the slices before Tom and Gerry split the remainder, there would be no leftovers when Tom and Gerry split the remainder.