Search found 5 matches
Re: For non-negative integers \(x, y,\) and \(z,\) is \(x^z\) odd?
For non-negative integers \(x, y,\) and \(z,\) is \(x^z\) odd? (1) The product \(xz\) is odd. (2) \(x = 2^y\) Answer: A Source: Veritas Prep x, y and z are >= 0 \(x^z\ \) can only ODD if x is ODD. So from (1) it is given that xz is ODD. The multiplication of two numbers can only be ODD if both are ...
- by ravimani
Tue Oct 27, 2020 12:41 pm- Forum: Data Sufficiency
- Topic: For non-negative integers \(x, y,\) and \(z,\) is \(x^z\) odd?
- Replies: 1
- Views: 251
If a rectangle has perimeter of 20 and a diagonal with length 9, what is the area of the rectangle?
Problem Solving
Re: If a rectangle has perimeter of 20 and a diagonal with length 9, what is the area of the rectangle?
let sides be a and b perimeter = 2(a+b) = 20 so, a+b = 10 next, diagonal length = 9. So by right angled triangle theorem. $$a^2\ +\ b^2\ =\ c^2$$ so, $$a^2\ +\ b^2\ = 81$$ Now, we know that $$\left(a+b\right)^2\ =\ a^2\ +\ b^2\ +\ 2ab$$ Let's replace the value with given values $$10^2\ =\ a^2\ +\ b^...
- by ravimani
Tue Oct 27, 2020 12:14 pm- Forum: Problem Solving
- Topic: If a rectangle has perimeter of 20 and a diagonal with length 9, what is the area of the rectangle?
- Replies: 2
- Views: 494
The graph above shows line H. Line J (not shown) does not pass through the first quadrant. Which of the following could
Problem Solving
Re: The graph above shows line H. Line J (not shown) does not pass through the first quadrant. Which of the following co
line H graph.JPG The graph above shows line H. Line J (not shown) does not pass through the first quadrant. Which of the following could be true? I. line J is perpendicular to line H II. line J is parallel to line H III. line J intersect line H in the third quadrant (A) I only (B) II only (C) I and...
- by ravimani
Tue Oct 27, 2020 11:59 am- Forum: Problem Solving
- Topic: The graph above shows line H. Line J (not shown) does not pass through the first quadrant. Which of the following could
- Replies: 2
- Views: 325
If X is the sum of the first 50 positive even integers and Y is the sum of the first 50 positive odd integers...
Problem Solving
Re: If X is the sum of the first 50 positive even integers and Y is the sum of the first 50 positive odd integers...
This seems to arithmetic progression problem but it can be solved in other simple way. Information available x = sum of 50 even numbers => (2 + 4 + 6 .... + 100) y = sum of 50 odd numbers => (1 + 3 + 5 ... + 99) To deduce x - y, now let's break series x - y (break up) => 2 - 1 => 1 => 4 - 3. => 1 =>...
- by ravimani
Tue Oct 27, 2020 11:34 am- Forum: Problem Solving
- Topic: If X is the sum of the first 50 positive even integers and Y is the sum of the first 50 positive odd integers...
- Replies: 1
- Views: 250
Although the rise in incidence of the disease has fueled fears for a full blown epidemic progressing, the Surgeon
Sentence Correction
Re: Although the rise in incidence of the disease has fueled fears for a full blown epidemic progressing, the Surgeon
My attempt for this as follows:-
1. Since the sentence is talking about current ongoing situation, so we can rule out B, C, and E, which talks about past.
2. Out of A and D, D seems to be clear over A. I don't know what other grammar rule can rule out A.
- by ravimani
Tue Oct 27, 2020 10:54 am- Forum: Sentence Correction
- Topic: Although the rise in incidence of the disease has fueled fears for a full blown epidemic progressing, the Surgeon
- Replies: 2
- Views: 731