[Beginner Practice] Quant - Average & Ages v3

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Q1. The mean of 5 observations is 25. When a constant ‘x’ is added to each observation, the mean becomes 30. Find the value of x.
Answer : 5
 
Q2. Find the average of first five integral multiplies of 4.
Answer : 12  
 
Q3. In a school, the average age of 10 students and a teacher is 16 years. If the age of teacher is 26 years, find the average age of students.
Answer : 15 years
 
Q4. The average run scored by Dhawan and Kohli is 79, the average run scored by Kohli and Rahane is 75, and that of Rahane and Dhawan is 59. Find the runs scored by Rahane.
Answer : 55
 
Q5. Difference between the average of x, y and y, z is 8. Find the difference between x and z.
Answer : 16
 
Q6. If the average of 10 observations a1, a2, a3 …., a10 is b, then which of the following will be the average of a1-11, a2-11, a3-11, ……, a10-11?
Answer : b-11
 
Q7. The average of 20 numbers is 227 and the average of other 30 numbers is 120. Find the average of all the numbers taken together.
Answer : 162.8
 
Q8. The average of three numbers is 51. The second number is twice the first number, and the third number is three more than the second number. Find the average of 1st two numbers.
Answer : 45
 
Q9. The sum of three consecutive even numbers is 20 more than their average. Find the largest number.
Answer : 12
 
Q10. In a class, the average marks obtained by girls is 75, and average marks obtained by boys is 85. If girls and boys are in the ratio of 2:3, find the average marks of the whole class.
Answer : 81
 
Q11. In a family of 4 members, their average age is 31 years. If the average age of two male members is 32 years, then what will be the average age of two female members after 4 years?
Answer : 34 years
 
Q12. The average of four consecutive even numbers is 11. Find the largest number.
Answer : 14
 
Q13. The average age of 10 men increases by 5 years, when two new persons replace two of them whose ages are 40 and 44 years. Find the average age of those two new persons.
Answer : 67 years
 
Q14. The average weight of 45 students in a class is 38 kg. If the weight of the teacher is also included, then the average weight of the class increases by 5%. The total weight of the class including the teacher
Answer : 1835 kg
 
Q15. The average age of four brothers is 20 years. When the age of their father is included, the average age increases by 20%. Find the age of the father.
Answer : 40 years
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