Honeywell Practice Problems On Linear Equations

Below are three problems on linear equations. You have to form the equations by using the given information.
Question 1
A railway half ticket( for kids below 5 years) costs Rs. 150 and full ticket(for above 5 years) costs Rs. 250. The daily report says that for a particular day, 5000 passengers have travelled and the total collection is Rs.10,50,000. How many kids(below 5 years) have travelled on that day?
a)1000 b)2000 c)2500 d)3500
Answer : b)2000
Solution:
Let 's' be the number of kids travelled on that day and 'b' be the number of passengers(above 5 years) travelled on that day.
Therefore, s + b = 5000 ... eqn (1)
Each half ticket's cost is Rs.150 and
Each full ticket's cost is Rs.250.
Total collection of amount = 150s + 250b = 10,50,000
Or 150s + 250b = 10,50,000 ... eqn (2)
Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)
Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000
We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.
Hence, 2000 kids travelled on that particular day.

Question 2
Small sized pizza costs half the full sized and delivery charge is the same on small size as on the full size. One boy delivered a full size pizza which cost Rs.2160 for the consumer. Another boy delivered one full and small for 2 persons respectively where the bill amount was Rs.3270. What is the basic cost of full size pizza and what is the delivery charge?
a)RS.2100 & Rs.60 b)Rs.1050 & Rs.30 c)Rs.2500 & Rs.90 d)Rs.1500 & Rs.60
Answer : a)Rs.2100 & Rs.60
Solution:
Let the cost of the half of the full size pizza be Rs. X.
Therefore, the cost of full size pizza is Rs. 2X.
Let the delivery charge be Rs. Y per delivery.
Now, one full size reservation pizza would cost 2X (basic cost) + Y (delivery charge)
i.e., 2X + Y = 2160 --- (1)
The total basic cost for one small and one size full pizza = X + 2X = 3X and the total delivery charge is 2Y.
Hence, 3X + 2Y = 3270 --- (2)
Solving (1) and (2) we get,
X = 1050 and Y = 60
Hence, the basic cost of full size pizza is 2X = Rs. 2100 and the delivery charge is Y = Rs.60.

Question 3
A boy ordered 1000 toys for 1000 rupees from a local shop. He knew he ordered some dolls, cars and cleversticks but he lost his receipt and forgot how many of each he ordered. Also he knew that the dolls were Rs.3 each, cars Rs.10 each and cleversticks Rs.5 each. The number of toy cars in the order was:
a)1 b)2 c)none of these d)cannot be determined
Answer : d)cannot be determined
Solution:
Let d = number of dolls;
c = number of cars;
And s = number of cleversticks.
The total number of toys is 1000. Therefore we have the equation:
d + c + s = 1000
Given that the dolls cost Rs.3 each, cars cost Rs.10 each and cleversticks cost Rs.5.
Then we have the equation:
10c + 3d + 5s = 1000
Now, We have two equations but 3 unknowns. To solve 3 unknowns at least 3 equations are required.
The given data is not sufficient to derive the answer and some additional information are required.
Hence the answer is option d.

What Should Be Your Mindset To Improve Confidence Levels During Interviews ?

You could had prepared well for interviews, you could literally be aware of every question that would be fired upon you in an interview, you could had completed your placement test successfully well, but during the interviews most of the students tend to get nervous. If you can cover up your nervousness and if you can still answer the questions well, then it might do good. But, in most cases, nervousness affects your ability to listen well. When you fail to listen well, the chances are that you performance could degrade as well. Knowing the root cause of this unusual nervousness can get you to overcome this feeling.

What is the root cause of sudden decrease in confidence levels during interviews?
Most of the sufferers have in common a culprit within themselves. This is called 'being overly self conscious'. This arises due to the fear of getting into embarrassing situations. Several CV readers do mail us about this problem and among them 9 out of 10 would fall into this category of being overly self conscious. In other words they start thinking that the whole world (in this case the entire panel) is paying very close attention to him/her and slightest of the mistakes could land him/her in trouble.

Having known the root cause, what is the way out ?

Now, you know the exact root cause of your mysterious nervousness that engulfs you from nowhere. What could be the solution ? The solution is simple and it is the basic understanding that you are not alone when you are worrying that your acts could land you in embarrassing situations. There are studies that suggest any person who faces a stranger would be very cautious and careful about his/her actions. This applies to the panel members as well. Now, the winner of the situation would be the one who understands this fact and tries to comfort the other. In other words, you should care very least about you getting embarrassed, instead you should start focusing on making the strangers (in this case, the panel) comfortable. This attitude is certainly reciprocal and within seconds you could feel that your nervousness has vanished.
Hope you found this article useful.

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