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The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is z, then

  • x = y + z
  • 2x = y + z
  • x = 2y + z
  • x = y + 2z

Answer: Option B

Explanation:

X =((3y+3z)/6)
or
2X= y + z

Similar Questions :

1. The average of four consecutive odd numbers is 24. Find the largest number.

  • 25
  • 27
  • 29
  • 31

Answer: Option B

Explanation:

Let the numbers are x, x+2, x+4, x+6, then
=>x+(x+2)+(x+4)+(x+6)4=24



=>4x+12)4=24


=>x+3=24=>x=21


So largest number is 21 + 6 = 27

2. Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is

  • 50
  • 55
  • 60
  • 65

Answer: Option C

Explanation:

Total weight increased is 1.5 * 10 = 15.
So weight of new person is 45+15 = 60

3. A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 30 days starting with sunday is

  • 280
  • 285
  • 290
  • 295

Answer: Option B

Explanation:

As the month begin with sunday, so there will be five sundays in the month. So result will be:
=(510×5+240×2530)=(855030)=285

4. Marks of a student were wrongly entered in computer as 83, actual marks of that student were 63. Due to this mistake average marks of whole class got increased by half (1/2). Find the total number of students in that class.

  • 25
  • 30
  • 35
  • 40
  • 45

Answer: Option D

Explanation:

Suppose total number of students are = X
Totalincrease=x∗12=x2=>x2=83−63=20=>x=40

5. Average of all prime numbers between 30 to 50

  • 37
  • 37.8
  • 39
  • 39.8

Answer: Option D

Explanation:

Prime numbers between 30 and 50 are:
31, 37, 41, 43, 47

Average of prime numbers between 30 to 50 will be
(31+37+41+43+475)=1995=39.8

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