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Average

Description: mcq
Number of Questions: 15
Created by:
Tags: average Average Numerical Ability Averages Time and Distance Time, Speed and Distance
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In a school there are 5 classes. Class 1 has 45 students, class II has 38 students, class III has 42 students, class IV has 50 students and class V has 35 students. If new admission in class I and II are 9 and 16 respectively. Find the average number of students in each class for the new session.

  1. 42

  2. 47

  3. 37

  4. 58.75

  5. None of these


Correct Option: B
Explanation:

The average number of students = (45 + 38 + 42 + 50 + 35 + 9 + 16)/5 = 47

Find the average of the first 200 natural numbers.

  1. 200.5

  2. 101

  3. 10.05

  4. 100.5

  5. None of these


Correct Option: D
Explanation:

The sum of the first 200 natural numbers = (200 * 201)/2 = 20100 avg. = 20100/200 = 100.5

The average age of a family of 5 members is 38 years. After 3 years, the daughter left the family and a daughter-in-law joined the family. The new average age of the family is 39 years. What is the age difference between the daughter and daughter-in-law?

  1. 10

  2. 5

  3. 20

  4. 2

  5. None of these


Correct Option: A
Explanation:

205 - 195 = 10

Among 12 numbers, average of the first 4 numbers is 25, average of the next 4 numbers is 30 and average of the last 4 numbers is 35. What is the average of all 12 numbers?

  1. 30

  2. 7.5

  3. 22.5

  4. 90

  5. None of these


Correct Option: A
Explanation:

(4 * 25 + 4 * 30 + 4 * 35)/12 = 30

The average height of 4 boys is 160 cm. A boy of 139 cm height leaves the group. Find the new average height of the group

  1. 125.25 cm

  2. 167 cm

  3. 170 cm

  4. 155 cm

  5. None of these


Correct Option: B
Explanation:

(640 - 139)/3 = 167cm

If the average of 6 cosecutive odd numbers is m , then what will be the average of the next 6 consecutive odd numbers?

  1. Cannot be determined

  2. m + 6

  3. m + 12

  4. m + 2

  5. None of these


Correct Option: C
Explanation:

Every number of the second set would be 12 more than its countrpart. So, average will be 12 more than m.

Find the average of the first 100 even natural numbers.

  1. 101

  2. 50.5

  3. 100

  4. 102

  5. None of these


Correct Option: A
Explanation:

The answer is 50 * 202/100 = 101

Average age of a group is 28 years. A person aged 26 leaves the group and two persons of age 29 and 32 join the group. If the new average age of the group is 29, then how many members were in the group initialy?

  1. 5

  2. 6

  3. 7

  4. 8

  5. None of these


Correct Option: B
Explanation:

Let the initial number of members be m. Then total age of the group = 28 * m Now, new total age of the group = 28 * m + 35 Total number of members after these changes = m + 1 So, (28 m + 35)/(m + 1) = 29  m = 6

In a class of 20 students, 15 got 16 pencils each and 5 students got 20 pencils each. Find the average number of pencils a student got.

  1. 17

  2. 22

  3. 22.67

  4. 18

  5. None of these


Correct Option: A
Explanation:

Average = (15 * 16 + 5 * 20)/20 = 17

A bike rider covers a distance of 80 km in 1 hour. He takes a 10 minutes break and again travels 40 km. If his average speed during the journey is 80 km/h, what is the speed in the second phase?

  1. 103 km/h

  2. 120 km/h

  3. 240 km/h

  4. 90 km/h

  5. None of these


Correct Option: B
Explanation:

He has to travel 40 km in 20 min So, speed = 120km/h

If a sum is to be divided between A, B, C and D in ratio 3 : 6 : 5 : 10. If average money B and D got is rupees 160, then find the total amount.

  1. 480

  2. 240

  3. 640

  4. 4800

  5. None of these


Correct Option: A
Explanation:

Total amount B and D got is = 320. Total amount = 24 * 320/16 = 480

Among five numbers, average of the first three is 47 and average of the last three is 58. What is the difference between the sum of last two numbers and the sum of first two numbers?

  1. 22

  2. 33

  3. 43

  4. 11

  5. None of these


Correct Option: B
Explanation:

Sum of first three numbers = 141 Sum of last three numbers = 174 Since the third number is common in both, so difference will be 33.

In a multi team cricket tournament, the number of matches played by each team is 17. What is the number of teams participating and total number of matches played between them provided there will be only one match between two given teams?

  1. 18, 153

  2. 18, 306

  3. 17, 272

  4. 17,136

  5. None of these


Correct Option: A
Explanation:

Each team plays with other 17 teams So, total team 18. Total number of matches = 18 * 17/2 = 153

The average age of a class of 25 students is 16. The average age of the class including a teacher is 18. What is the age of the teacher?

  1. 50

  2. 52

  3. 68

  4. 34

  5. None of these


Correct Option: C
Explanation:

 The total age of the class (without teacher) = 25 * 16 = 400 The toal age of class (including teacher) = 26 * 18 = 468 Age of teacher = 468 - 400 = 68

  1. 34

In a class, 80% students got 14 candies and 20% students got 16 candies. What is the average number of candies a student got?

  1. 15.6

  2. 14.4

  3. 15

  4. 14

  5. None of these


Correct Option: B
Explanation:

Let the total number of students be = p Candies for 80% student = 0.8 * p * 14 = 11.2p Candies for 20% student = 0.2 * p * 16 = 3.2p Average number of candies for a student = 14.4p/p = 14.4

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