There are 70 questions in an aptitude test of duration 150 minutes of these, 20 questions are quantative Vicky plans to spend 160 seconds on each quantative question and 60 seconds on each non quantative question. What is the maximum number of questions that he can attempt?
Answers
Answer:
To find:
Maximum number of questions Vicky can answer.
Solution:
He takes 160 seconds for each quantitative question and there are 20 quantitative questions.
Therefore, time required = 20 × 160
= 3200 seconds
Now, Remaining questions = 50
Remaining time = (150 × 60) - 3200
= 5800 seconds
Time taken for,
Non quantitative questions = 60 seconds
Now, let the n non quantitative questions be attempted in 5800 seconds
Now, n = 5800/60 ≈ 96
Hence, all non quantitative questions can be attempted.
Therefore, maximum number of questions can be attempted is 70.
Step-by-step explanation:
Given:-
There are 70 questions in an aptitude test of duration 150 minutes of these, 20 questions are quantative Vicky plans to spend 160 seconds on each quantative question and 60 seconds on each non quantative question.
To find:-
What is the maximum number of questions that he can attempt?
Solution:-
Total number of questions in the test = 70
Number of quantitative questions = 20
Number of non quantitative questions =
=>70-20
=>50
Time spending on each quantitative question by Vimal = 160 seconds
=>Total time will be taken by him for 20 quantitative questions
=>20×160 seconds
=>3200 seconds
Time spending on each non quantative question by Vimal = 60 seconds
=>Total time will be taken by him for 50 non quantitative questions
=>50×60 seconds
=>3000 seconds
Total time will be taken by Vimal as he planned on both type of questions
=>3200+3000
=>6200 seconds
We know that
60 seconds = 1 minute
1 second = 1/60 minutes
6200 seconds = 6200/60 minutes
=>620/6
=>310/3 minutes
=>103.33minutes
But the total time for the given test is 150 minutes
Taken time < Given time
He will have more time than he planned
So he finished all the questions before the given time .
So, maximum questions in the test are 70
Answer:-
He can attempt all the 70 questions before the time as he planned