Search found 15 matches
The sum of all the digits of the positive integer q is equal to the three-digit number x13. If q = 10^n – 49, what is the value of n? (A) 24 (B) 25 (C) 26 (D) 27 (E) 28 Any idea how to approach this problem n=2 : 51 n-3 : 951 n=4 : 9951 .. no. of 9's for each n is given by n-2. So, sum of the dig...
- by fifafreak
Mon Nov 25, 2013 6:08 am- Forum: Problem Solving
- Topic: Sum of digits
- Replies: 8
- Views: 2947
Q. If f(x) = |4x - 1| + |x-3| + |x + 1|, what is the minimum value of f(x)? (A) 3 (B) 4 (C) 5 (D) 21/4 (E) 7 Ans-B |4x-1| = 4x-1 for x>=1/4; 1-4x for x<1/4 |x-3| = x-3 for x>=3; 3-x for x<3 |x+1| = x+1 for x>=-1; -x-1 for x<-1 if we arrange in a num line, the above values will appear as ....-1....1...
- by fifafreak
Mon Nov 25, 2013 5:47 am- Forum: Problem Solving
- Topic: Please elaborate basis number line
- Replies: 7
- Views: 1971
In constructing a viable educational curriculum for the public schools, the school board must attempt to shift the focus from textbooks instructing the children to educating the children with teachers . textbooks instructing the children to educating the children with teachers textbooks instructing...
- by fifafreak
Thu Nov 21, 2013 6:03 am- Forum: Sentence Correction
- Topic: In constructing a viable educational curriculum
- Replies: 2
- Views: 2239
A rectangular frame has a length of 18 inches and width of 15 inches. The frame encloses a rectangular picture that has the same area as the frame itself. If the length and width of the picture have the same ratio as the length and width of the frame, what is the length of the picture, in inches? (...
- by fifafreak
Thu Nov 14, 2013 5:35 am- Forum: Problem Solving
- Topic: Length of a Rectangle
- Replies: 8
- Views: 2667
For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of sequence for which the product of two consecutive terms is negative. what is the number of variations in sign for the sequence 1,-3,2,5,-4,-6 ? a. one b. two c. thre...
- by fifafreak
Thu Nov 14, 2013 5:22 am- Forum: Problem Solving
- Topic: Finite Sequence !!!
- Replies: 3
- Views: 1550
3:4 ?Aman verma wrote:
Q: In triangle ABC, D is the mid-point of BC and E is the mid-point of AD, BF passes through E. What is the ratio of AF : FC ?
(A) 1:1
(B) 1:2
(C) 1:3
(D) 2:3
(E) 3:4
- by fifafreak
Thu Nov 14, 2013 5:11 am- Forum: Problem Solving
- Topic: Geometry
- Replies: 7
- Views: 5545
In the first M games of a team´s season, the ratio of the team´s wins to its losses was 1:2. In the subsequent N games, the ratio of the team´s wins to losses was 1:3. If M:N = 4:5, what was the ratio of the team´s wins to its losses for all M+N games? a) 7:18 b) 9:23 c) 11:27 d) 23:54 e) 31:77...
- by fifafreak
Thu May 23, 2013 12:59 am- Forum: Problem Solving
- Topic: Ratio
- Replies: 6
- Views: 3498
Hi, Can anyone please help me in solving the following inequalities:- (1). x/(x + 2) <= 1/x My approach :- x/(x + 2) - 1/x <= 0 After calculating, (x - 2)(x + 1) / x(x + 2) <= 0 What is after this ? how can i get the inequality ? What is the right approach ? (2). x/(x - 3) <= 1/x Please help in the...
- by fifafreak
Thu May 23, 2013 12:28 am- Forum: Problem Solving
- Topic: Inequality doubt
- Replies: 7
- Views: 2930
Now, x² - x + 3 is always positive as for |x| > 1, x² > x --> (x² - x) > 0 ---> (x² - x + 3) > 0 for |x| < 1, -1 < (x² - x) < 0 ---> (x² - x + 3) > 0 For x = 0, (x² - x + 3) = 3 > 0 So our effective inequality is 1/[x(x - 3)] ≤ 0 ---> x(x - 3) < 0 (I replaced ≤ with ≤ because 1/[x(x - ...
- by fifafreak
Thu May 23, 2013 12:19 am- Forum: Problem Solving
- Topic: Inequality doubt
- Replies: 7
- Views: 2930
47) Three grades of milk: 1%, 2%, and 3% fat by volume. X gallons of 1%, y gallons of 2%, and z gallons of 3% are mixed to give x + y + z gallons of 1.5%. What is x in terms of y and z? a. y + 3z b. (y + z)/4 c. 2y + 3z d. 3y + z e. 3y + 4z Let the volumes be X Y and Z. While Mixing : X+2Y+3Z = fat...
- by fifafreak
Mon May 06, 2013 6:18 am- Forum: Problem Solving
- Topic: 47) Three grades of milk: 1%, 2%, and 3% fat by volume. X ga
- Replies: 5
- Views: 2117
Almonds = 80; Walnuts = 20
80 + 20 = 100....[1]
80-x + 20 = 100-x ...[2]
[80-x]/[100-x]= 75/100 => x = 20 which is 25% of 80. Ans. D
- by fifafreak
Mon Apr 29, 2013 6:26 am- Forum: Problem Solving
- Topic: Averages
- Replies: 4
- Views: 1727
Since the deregulation of airlines, delays at the nation's increasingly busy airports have increased by 25 percent. To combat this problem, more of the takeoff and landing slots at the busiest airports must be allocated to commercial airlines. Which of the following, if true, casts the most doubt o...
- by fifafreak
Mon Apr 29, 2013 6:08 am- Forum: Critical Reasoning
- Topic: Since the deregulation of airlines, delays at the nation's i
- Replies: 13
- Views: 4888
A parallelogram with area of 18 has a side of 6. Which of the following could be one of its inside angles? A. 30 B. 50 C. 60 D. 70 Does anyone has an idea how to solve this? Area of a parallelogram = a*b*sin(X) = 6*b*sin(X) = 18 => b*sin(X)= 3. if X = 30; b = 6 if X = 60; b = 2_/3 if X = 90; b = 3 ...
- by fifafreak
Mon Apr 29, 2013 5:51 am- Forum: Problem Solving
- Topic: Geometry question
- Replies: 4
- Views: 1551
I'm having difficulty following the OG answer explanation and therefore would greatly appreciate alternative, easier to follow explanations, please. Thank you in advance, experts! Q: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of sa...
- by fifafreak
Mon Apr 29, 2013 5:31 am- Forum: Problem Solving
- Topic: Quant Review 2nd Ed. - P.S. #154
- Replies: 3
- Views: 1874
day 1: O=100; W=100 => 200 units = 10 units/glass * 20 glasses =.60*20 = 12$
day 2: O=100; W=200 => 300 units = 10 units/glass * 30 glasses = 12 $ = 30*0.40 $ => 0.40$/glass
- by fifafreak
Sun Apr 28, 2013 10:51 pm- Forum: Problem Solving
- Topic: OG13 - Question 60 - confused
- Replies: 6
- Views: 1855