Moderate Problems on Mixture

Below are three problems based on the concept of mixtures in some ratio.
Question 1
A certain box of health drink powder is obtained by mixing the makers as 3 parts of milk powder with 5 parts of energy powder. If 2 kg of the mixture is needed and the individual makers can be purchased only in one kg or half kg box. What is the least amount of makers, in kg's, that must be purchased in order to measure out the portions needed for the mixture?
a)2kg b)3kg c)4.5kg d)2.5kg
Answer : d)2.5kg
Solution :
Step 1) "A certain box of health drink powder is obtained by mixing the makers as 3 parts of milk powder with 5 parts of energy powder. "
You should think: 3 parts of milk powder, 5 parts of energy powder sums to a total of 8 parts.
More specifically, 3/8 of the mixture is milk powder and 5/8 of the mixture is energy powder.
Step 2) "If 2 kgs of the mixture is needed and the individual makers can be purchased only in one kg or half kg cans"
So we know the mixture is 2 kg. How much of these 2 kg is milk powder and how much of these 2 kg is energy powder?
We know 3/8 of the mixture is milk powder. And the entire mixture is 2 kg.
So 3/8 of the 2 kg = 3/8 x 2 = 6/8 = 3/4 = .75 of a kg is milk powder
Likewise 5/8 of the 2 kg or 5/8 x 2 = 10/8 = 5/4 = 1.25 of the kg is energy powder
Step 3) " individual makers can purchase only in one-kg or half- kg cans"
That means the .75 needs to be rounded up to 1 kg
And it means that the 1.25 kg needs to be rounded up to 1.5 kgs (a 1 kg box and a half kg box)
Combine the 1 kg of milk powder + 1.5 kg of energy powder = 2.5 total kgs.
Hence the answer is option d.
Question 2
A certain shade of orange color is obtained by mixing 1 part of white color with 2 parts of red color. If 3.6 kgs of the mixture is needed and the white and red colors can be purchased only in 1 kg, what is the least amount of color, in kg's, that must be purchased for the mixture?
a)5kg b)4kg c)6kg d)4.5kg
Answer : a)5kg
Solution :
Since, the orange color is obtained by mixing 1 part of white color with 2 parts of red color.
i.e., 1 part white color, 2 part red color, that means totally there are 3 parts.
Then, 1/3 of the mixture is white color and 2/3 is red color.
Given that, 3.6 kg of the mixture is needed.
We know 1/3 of the mixture is white color and the entire mixture is 3.6 kg
So 1/3 of 3.6 kg = 3.6/3 = 1.2 kg is white color.
Likewise 2/3 of the 3.6 kg = 2 x 3.6/3 = 2 x 1.2 = 2.4 kg is red color.
Since the individual colors (white and red) can be purchased only in one-kg
i.e., 1.2 kg needs to be rounded up to 2 kg
And 2.4 kg needs to be rounded up to 3 kg.
Combine the white and red color = 2kg + 3kg = 5 kg.
Hence the least amount of colors to be purchased is 5 kg.
Question 3
A certain shade of violet color is obtained by mixing 2 parts of white color with 3 parts of blue color. If 8 kg of the mixture(violet color) is needed and the individual colors can be purchased only in 2 kg cans worth Rs.80, then what is the least amount of color in kg's that must be purchased for the mixture? And how much rupees spend to purchase the blue color cans?
a)6kg & Rs.480 b)10kg & Rs.400 c)10kg & Rs.800 d)6kg & Rs.320
Answer : b)10kg & Rs.400
Solution :
Since the violet color is obtained by mixing 2 parts of white color with 3 parts of blue color.
i.e., 2 parts of white color and 3 parts of blue color, that means totally there are 5 parts.
Then, 2/5 of the violet color is white and 3/5 is blue color.
Given that, 8kg of the mixture is needed.
So 2/5 of 8kg = 2 x 8/5 = 3.2 kg is white color
Likewise 3/5 of 8kg = 3 x 8/5 = 4.8 kg is blue color.
Since the individual colors (white and red) can be purchased only in 2-kg cans.
i.e., 3.2 kg needs to be rounded up to 4 kg.
And 4.8 kg needs to be rounded up to 6 kg.
Then the required least amount of colors = 4kg + 6kg = 10kg or 5 cans (2 cans of white + 3 cans of blue)
Since each can of 2 kg color worth Rs.80. Total cost for 5 cans = 5 x 80 = Rs. 400
Hence the answer is 10kg & Rs.400.

Mobile Screen and their Resolution for android developers

Compatible devices MUST support dynamic orientation by applications to either portrait or landscape screen orientation. That is, the device must respect the application's request for a specific screen orientation. Device implementations MAY select either portrait or landscape orientation as the default.
There are some screen resolutions already defined in Android. They are: QVGA (240×320, low density, small screen) WQVGA (240×400, low density, normal screen) FWQVGA (240×432, low density, normal screen) HVGA (320×480, medium density, normal screen) WVGA800 (480×800, high density, normal screen) WVGA854 (480×854 high density, normal screen)

QVGA (Quarter Video Graphics Array)
QVGA (Quarter Video Graphics Array or Quarter VGA) is a type of resolution whose dimensions are 320×240 pixels. The QVGA display is normally found in devices such as mobile phones and PDAs. The display is also common on other hand-held devices such as game consoles.
Most of the time, the display is in the portrait layout as opposed to the landscape layout. They are also known as 240×320 displays because they are taller than they are wide. So why is it known as Quarter Video Graphics Array? It has this name because the display is 1/4th of the 640×480 resolution of the original IBM machine that had the VGA display. The original display was almost a de facto standard in the 1980s.

WQVGA (400×240)
Wide QVGA or WQVGA is any display resolution having the same height in pixels as QVGA, but wider. This definition is consistent with other 'wide' versions of computer displays.
Since QVGA is 320 pixels wide and 240 pixels high (aspect ratio of 4:3), the resolution of a WQVGA screen might be 384×240 (16:10 aspect ratio), 400×240 (5:3—such as the Nintendo 3DS screen or the maximum resolution in YouTube at 240p), 428×240 or 432×240 (~16:9 ratio).

Non-verbal communication is as important as verbal communication

"Communication occurs when signals carry information-bearing messages between a source and a destination” – Robert M. Krauss, Columbia University. This can also be termed as verbal communication. On the other hand non-verbal communication is that process of communication where people exchange visual cues – for example: gestures, body language, eye contact, facial expression, etc. Whether you are in a social gathering or in an interview, the combination of verbal and non-verbal communication is of utmost importance. On several occasions we tend to overlook the necessity of transmitting the right non-verbal signals and end up conveying wrong messages. This holds true during an interview process as well. According to BVM Rao, Head Human Resources at Shoppers Stop, "We always look at the candidate’s balance between non-verbal and verbal communication while conducting an interview. Certain non-verbal signals such as eye contact and overall body language are very important in our recruitment process. If we find a candidate constantly rolling his eyes or fidgeting, we immediately know that he’s lying. Therefore, there are other cues which indicate if the candidate is confident or otherwise.” For any recruiter it is crucial to keep in mind some of the basic non-verbal aspects. Shital Kakkar Mehra, Corporate Etiquette & Protocol consultant at Soft Skills International lays down some of these factors:

- Non-verbal first impression tools: The way you exchange cards, your handshake and eye contact – all create impact in the first few seconds of your interaction with the interviewers. Also, pay attention to your attire and accessories as they too send quick non-verbal signals.
- Posture: Although our sedentary lifestyles and constant use of technology gadgets have led to slouching and hunching for long hours, sitting/ standing upright during an interview signals - "I am confident” and "I am motivated to be with you”, signaling interest.
- Fidgeting: Tapping your feet, drumming your fingers, doodling, touching your hair/ face – all conveys the same message "I would rather be somewhere else”. Instead minimise your body language gestures so that the interviewers can focus on your words and not get distracted by your non-verbal signals.
- Physical space: People who are under-confident tend to shrink into their own bodies, reducing the space they take up physically and in the minds of their listeners. In an interview, sit confidently and use hand gesture.

In case if any of the above non-verbal signal requirement is not met, the interviewer goes for cross-questioning rounds with the candidates. "Over a period of time one can master the art of verbal communication. However, by putting the candidate in an uncomfortable zone through cross-questioning about past experience, recruiter can understand if the candidate is suited for the position,” says Prakash Nahata, CEO, Anthroplace Consulting Pvt Ltd. He further adds, "In several cases we focus on the candidate’s overall presentation – starting from the time they enter the office premise to the time he leaves the recruiter’s room. Here, as the candidate remains unaware of our screening process to measure his non-verbal aptitude, we end up getting valued information about him.” Though the weightage between verbal and non-verbal communication varies in different organisations, it is important to strike a balance between the two for a successful communication process. Companies are becoming more careful in their candidate selection process and even after recruitment the employees are provided with ongoing communication training to enhance the customer interaction level.

MAT Entrance Exam Feb 2013 Held

All India Management Association (AIMA) conducted the MAT entrance exam(Paper based) on February 3, 2012. Candidates can check details here..
The MAT paper-pencil-based exam was conducted from 10 am to 12.30 pm .
However, the online exam will be held on February 9, 2013 at different time slots according to the number of registrations.
The MAT exam is a 2.5 hours paper.
Graduates in any discipline from a recognized university
The scores of the MAT February 2013 exam will be accepted by 360 B-schools across India. The test will be conducted across 60 cities in the country and ati Dubai and Singapore.


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