CDS MATHEMATICS QUIZ 12

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Question 1:

The average temperature of Australia in the first four days of June 2021 was 52 degrees. The average for the second, third, fourth and fifth days was 55 degrees. If the temperatures of the first and fifth days were in the ratio $5: 7$, then what was the temperature of Australia on 5 th June 2021 ?

Question 2:

In an exam of 100 marks, the average marks of a class of 40 students are 76 . If the top 3 scorers of the class leave, the average score falls down by 1 . If the other two toppers except the highest topper scored not more than 85 then what is the minimum score the topper can score?

Question 3:

In world cup Champions, Rohit scored an average of 120 runs per match in the first 3 match and an average of 140 runs per match in the last four match. What is Rohit's average runs for the first match and the last two match if his average runs per match for all the five match is 122 and total number of matches are 5 ?

Question 4:

The average salary of a company increases by 200 when the salary of the manager, which is Rs. 19500 , is included. If the number of employees excluding the manager is the smallest cube divisible by 16, what is the final average of the company?

Question 5:

The average weekly salary per head of all employees (supervisors and labourers) is Rs. 100 . The average weekly salary per head of all the supervisors is Rs. 600 while the average weekly salary per head of all the labourers is Rs. 125 . Find the number of supervisors in the factory if there are 240 labourers in it.

Question 6:

In a hostel, food is available for 200 students for 50 days. After 10 days, 50 more students join the hostel. For how many more days will the food last?

Question 7:

Amlesh, Bablu, Chandan, Dinesh and kamlesh are five persons. The weight of Amlesh, Bablu and Chandan is $90 \%, 112 \%$ and $94 \%$ respectively of the average weight of all five. The ratio of weight of Dinesh and kamlesh is $5: 12$. The difference between the weight of Dinesh and kamlesh is $168 \mathrm{~kg}$. What is the average weight of all the five persons?

Question 8:

The average weight of five friends Pappu, atul, Rakesh, Shekhar, and vishal is $(x+$ 6)kg while the average weight of Rakesh and vishal is $(x-6) \mathrm{kg}$. If the weight of another person $U$ prant is also added, then average weight of all of them is reduced by $5 \mathrm{~kg}$. Find the value of ' $x$ ' if average weight of Рappu, atul, Shekhar and Uprant is $94.5 \mathrm{~kg}$.

Question 9:

Average weight of three friends Amar, Vikas and Damani is $70 \mathrm{~kg}$. Another person Vishal joins the group and now the average is $66 \mathrm{~kg}$. If another person Arpit whose weight is $6 \mathrm{~kg}$ more than Vishal, joins the group replacing Amar, then average weight of Vikas, Damani, Vishal and Arpit becomes $75 \mathrm{~kg}$. What is the weight of Amar (in kg )?

Question 10:

The average score (runs/match) of Kohli before the start of World Cup was 35 . In the world cup of 6 matches, his total score was 360 runs. Find the total number of matches played by him till date, if his new average after the series is $40$.