Search found 64 matches
Re: minimum value
What is the minimum value of the expression 2(x^2) + 3(y^2) - 4x - 12y + 18? a) 18 b) 10 c) 6 d) 4 e) 0 Detailed explanations please! Try to rework the expression: 2(x^2) + 3 (y^2) - 4x - 12y + 18 => [2(x^2)- 4x] + [3(y^2) -12y] + 18 => 2[(x^2)-2x] + 3 [(y^2) - 4y] + 18 => 2[ (x-1)^2 -1] + 3[(y-2)^...
- by mohitsharda
Sat Sep 26, 2009 10:06 pm- Forum: Problem Solving
- Topic: minimum value
- Replies: 1
- Views: 2226
Re: minimum value of (a+b)?
If a & b are real, and ab + 2(a+b) = 21, what is the minimum value of (a+b)? a) 2 b) 3 c) 4 d) 5 e) 6 How to approach?I do not even kno how to proceed:( I don't think this question is valid. For example, one solution to the equation is a=-12 and b=-4.5 Here, a+b=-16.5, which is less than all of...
- by mohitsharda
Sat Sep 26, 2009 10:00 pm- Forum: Problem Solving
- Topic: minimum value of (a+b)?
- Replies: 4
- Views: 2713
Re: DS
ern5231 wrote:Is X>Y?
1) 2X-Y>0
2) Y<0
Statement 1: Definitely insufficient
Statement 2: Definitely insufficient
Both combined:
we get, 2X > Y
and Y<0
=> X>Y/2
since Y <0 => Y < Y/2
=> X > Y/2 > Y
Hence C.
- by mohitsharda
Sat Sep 26, 2009 7:19 am- Forum: Data Sufficiency
- Topic: 17) DS
- Replies: 3
- Views: 1125
Re: Remainder problem
2^1 gives remainder 2uptowngirl92 wrote:What is the remainder when 2^92 / 7 ?
2^2 => rem= 4
2^3 => rem= 1
2^4 => rem= 2
So, it repeats after every third power.
powers 1,4,7,10 i.e. 3k + 1 => give remainder 2
similarly 3k + 2 powers give remainder 4
92 = 3(30)+2
So, remainder is 4.
- by mohitsharda
Sat Sep 26, 2009 6:50 am- Forum: Problem Solving
- Topic: Remainder problem
- Replies: 5
- Views: 2651
Re: Find x from the inequality
x is an integer. What is the value of x in the expression 4 <(x-1) ^ 2 <16? A.0 B.1 C.2 D.3 E.4 Cant we reduce this expression to 2<x-1<4? Then we get the answer as E. But the answer given is C.Please explain. x = 2 => expression becomes (2-1)^2 = 1 So, that should clearly not be the answer. It sho...
- by mohitsharda
Sat Sep 26, 2009 6:45 am- Forum: Problem Solving
- Topic: 67 Find x from the inequality
- Replies: 5
- Views: 1317
Re: Art Gallery Race
The figure above represents the floor plan of an art gallery that has a lobby and 18 rooms. If Lisa goes from the lobby into room A at the same time that Paul goes from the lobby into room R, and each goes through all of the rooms in succession, entering by one door and exiting by the other, which ...
- by mohitsharda
Sat Sep 26, 2009 2:31 am- Forum: Data Sufficiency
- Topic: Art Gallery Race
- Replies: 2
- Views: 4008
Re: 300 students study French
In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish? (1) Of the 300 students, 60 do not study Spanish. (2) A total of 240 of the students study Spanish Please help me with this one....
- by mohitsharda
Fri Sep 25, 2009 11:00 pm- Forum: Problem Solving
- Topic: 300 students study French
- Replies: 9
- Views: 5412
Re: Properties of numbers
3150 = 2*7*225 = 2*7*(15^2)heshamelaziry wrote:If Y is the smallest positive integer suvh that 3150 multiplied by Y is the square of an integer, then Y must be
2
5
6
7
14
Please explain
3150 is a perfect square =>
y must have 2 and 7 as its factors.
Smallest possible value of y = 14
So, (E)
- by mohitsharda
Fri Sep 25, 2009 10:53 pm- Forum: Problem Solving
- Topic: Properties of numbers
- Replies: 2
- Views: 1017
Re: Work problem
Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour. How far is it to the school? a) 2 miles b) 4 miles c) 4.8 miles d) 8 miles e) 10 miles A) The Algebra Studen...
- by mohitsharda
Fri Sep 25, 2009 10:50 pm- Forum: Problem Solving
- Topic: Work problem
- Replies: 2
- Views: 980
Re: Easy one
10) What is the value of (X ^ 2-X-2) (Y ^ 2-Y-2)? (1) X=2 (2) Y=3 Simple but I am just confirming Statement 1: x= 2 => x^2 - x - 2 = 0 => irrespective of y, the product will be y. SUFFICIENT Statement 2: y =3 => y^2 - y -2 = 4 So, the product will depend on the value of x. INSUFFICIENT Go for A
- by mohitsharda
Fri Sep 25, 2009 9:20 pm- Forum: Problem Solving
- Topic: Easy one
- Replies: 2
- Views: 1246
A box contains 10 light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n? (1) The probability that the two bulbs to be drawn will be defective is 1/15. (2) The probability that one of...
- by mohitsharda
Fri Sep 25, 2009 4:01 am- Forum: Data Sufficiency
- Topic: light bulbs-probability
- Replies: 8
- Views: 2707
Re: divisor
If a and b are positive integers such that a/b= 2.86, which of the following must be a divisor of a? 10 13 18 26 50 [spoiler] why cant we split up 2.86 as 2 +.86 where .86 = quotient/b and find out which no from the list above is a factor of b [/spoiler] a/b= 2.86 = 286 / 100 = 143/50 In the questi...
- by mohitsharda
Fri Sep 25, 2009 3:49 am- Forum: Problem Solving
- Topic: divisor
- Replies: 4
- Views: 1817
Re: 1 votes for Alien
From a list of four movies, four friends discuss their favorite movies. At least 2 friends vote for Matrix, not more than 3 vote for Mummy, 1 votes for Alien and 2 vote for Jerry McGuire. If two friends have exactly voted for 2 different movies, and 2 friends for exactly 3 different movies, then ho...
- by mohitsharda
Fri Sep 25, 2009 3:42 am- Forum: Problem Solving
- Topic: 1 votes for Alien
- Replies: 1
- Views: 1299
Re: perimeter of a tunnel
The figure above (in the attachment) shows the shape of a tunnel entrance. If the curved portion is 3/4 of a circle and the base of the entrance is 12 feet across, what is the perimeter, in feet, of the curved portion of the entrance'? (A) 9Ï€ (B) 12Ï€ (C) 9Ï€*sqrRt(2) (D) 18Ï€ (E) 9Ï€/sqrRt(2) OA ...
- by mohitsharda
Fri Sep 25, 2009 3:00 am- Forum: Problem Solving
- Topic: perimeter of a tunnel
- Replies: 4
- Views: 4619
Re: least number of stamps
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought ? (A) 5 (B) 10 (C) 15 (D) 20 (E) 25 OA is C Can so...
- by mohitsharda
Fri Sep 25, 2009 2:52 am- Forum: Problem Solving
- Topic: least number of stamps
- Replies: 1
- Views: 1163