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Quantitative Aptitude

AVERAGES MCQs

Averages

Total Questions : 3752 | Page 2 of 376 pages
Question 11.

  1. Of the three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, the three numbers in order are

  1.    96, 24,48
  2.    24,96, 48
  3.    96, 48, 24
  4.    48, 24,96
 Discuss Question
Answer: Option D. -> 48, 24,96
Question 12.
  1. A certain company employed 600 men and 400 women and the average wage was Rs 2.55 per hour. If a woman got 50 paise less than a man, what were their wages per hour?

  1.    Man Rs 3.25 , Woman Rs.2.75
  2.    Man Rs 2.75 , Woman Rs.2.25
  3.    Man Rs 3.00, Woman Rs.2.75
  4.    Man Rs 3.50 , Woman Rs.3.75
 Discuss Question
Answer: Option B. -> Man Rs 2.75 , Woman Rs.2.25
The given information states that the total number of employees in the company is 600 men and 400 women and the average wage per hour is Rs.2.55.
Also, it is given that a woman gets 50 paise less than a man.

In order to calculate the wages of man and woman, we need to use the Average Wage equation, which states that:

Average Wage = (Total Wages of Men + Total Wages of Women) / (Total Number of Men + Total Number of Women)

Now, substituting the given values in the above equation, we get:

2.55 = (Total Wages of Men + Total Wages of Women) / (600 + 400)
2.55 x 1000 = (Total Wages of Men + Total Wages of Women)
2550 = (Total Wages of Men + Total Wages of Women)

Now, we need to calculate the Total Wages of Men and Total Wages of Women.

Total Wages of Men = Number of Men x Wage per Hour of Man
Total Wages of Women = Number of Women x Wage per Hour of Woman

Since, we know that a woman gets 50 paise less than a man, we can calculate the wage per hour of man and woman by subtracting 50 paise from the average wage per hour.

Wage per Hour of Man = Rs.2.55 + 50 paise = Rs.2.75
Wage per Hour of Woman = Rs.2.55 - 50 paise = Rs.2.25

Now, substituting the values in the equations for Total Wages of Men and Total Wages of Women, we get:

Total Wages of Men = 600 x Rs.2.75 = Rs.1650
Total Wages of Women = 400 x Rs.2.25 = Rs.900

Therefore, the total wages of men and women will be Rs.2550, which is equal to the Average Wage of Rs.2.55 per hour.

Hence, the wages per hour of man and woman are:

Man Rs 2.75 , Woman Rs.2.25
Question 13.

  1. A tree is 8.4 metres tall, another is half as high and the third one is its quarter. What is the average height of the three trees?

  1.    4.9 meters
  2.    4.6 meters
  3.    4.3 meters
  4.    4.1 meters
 Discuss Question
Answer: Option A. -> 4.9 meters
Question 14.

  1. The average noon temperature for Monday, Tuesday and Wednesday was 53°F and for Tuesday, Wednesday and Thursday was 56°F. If the noon temperature on Thursday was 60°F, find the noon temperature on Monday.

  1.    510 F
  2.    520 F
  3.    530 F
  4.    540 F
 Discuss Question
Answer: Option A. -> 510 F
Question 15.

  1. The average age of 30 boys in class is 15 years. If the teacher’s age is included, the average increases by one. What is the teacher’s age?

  1.    36 years
  2.    46 years
  3.    56 years
  4.    66 years
 Discuss Question
Answer: Option B. -> 46 years
Question 16.

  1. The average weight of 15 boys rose by 200 g when 16 boys with an average of 23.6 kg joined them. The former had an average weight of _________ kg.

  1.    22.2
  2.    23.2
  3.    24.2
  4.    25.2
 Discuss Question
Answer: Option B. -> 23.2
Question 17.

  1. Average age of 29 students is \(12\frac{1}{2}\)years. One student joins the class so that average increases by 1 month. The age of the new student is

  1.    12 years
  2.    13years
  3.    14 years
  4.    15 years
 Discuss Question
Answer: Option D. -> 15 years
Question 18.

  1. The mean of 100 observations was calculated as 40. It was found later that one of the observations was misread as 83 instead of 53. The correct mean is

  1.    39.7
  2.    48.3
  3.    39.2
  4.    40.2
 Discuss Question
Answer: Option A. -> 39.7
Question 19.

  1. The average of ten numbers is seven. If each number is multiplied by 12, then the average of new set of numbers is

  1.    74
  2.    78
  3.    84
  4.    88
 Discuss Question
Answer: Option C. -> 84
Question 20.

  1. 5 kg of a commodity is purchased at Rs 10 per kg, 6 kg at Rs 11 per kg and 9 kg at Rs 12 per kg. What is the weighted average price of the commodity per kg?

  1.    11.20
  2.    12.20
  3.    13.20
  4.    14.20
 Discuss Question
Answer: Option A. -> 11.20

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