**1. Sum of p and Q is 72 and the value of R is 42. What is average of P,Q and R?**

A) 32 B) 34 C) 36 D) 38 E) 30

Sol: Sum of P,Q & R = 72+42

= 114

**:.**Average of P,Q & R = 114/3

= 38

Ans: (D)

**2. In a group of 4 people, the height of the group members are 5 feet 4 inches, 5 feet, 5 feet 6 inches, and 4 feet 10 inches. The average height of the group members is:**

A) 5 feet B) 5 feet 1 inches C) 5 feet 2 inches D) 5 feet 3 inches E) None

Sol: First let us convert all the heights into inch.

5'4" = 5x12+4 = 64"

5' = 5x12 = 60"

5'6" = 5x12+6 = 66"

4'10"= 4x12+10=58"

**:.**Average = (64+60+66+58)/4

= 248/4

= 62"

= 5'2

Ans: (C)

**3. Average of the five consecutive numbers is 8. Which is the smallest of the 5 numbers.?**

A) 4 B) 3 C) 5 D) 6

Sol: Let, the smallest number be x. According to the question,

=> (X+X+1+X+2+X+3+X+4)/5 = 8

=> (5X+10) = 8x5

=> 5X = 40-10

=> X = 30/5

=> X = 6

Ans: (D)

**4. The average of 6,8 & 10 equals the average of 7, 9 & --**

A) 1 B) 7 C) 8 D) 9 E) 11

Sol: Total of 6, 8 & 10 = 6 + 8 + 10

= 24

**:.**Required number = 24 - (7+9)

= 24 - 16

= 8

Ans: (C)

**5 . The average of 3 numbers is 7. If 2 of the numbers are zero, Then what is the 3rd number?**

**A) 15 B) 17 C) 17 D) 21**

Sol. Total of 3 number = 7x3 = 21

2 of the 3 numbers are zero.

**:.**The 3rd number is 21

Ans: (D)

**6. The average of three numbers is V. If one of the numbers is Z and another is Y, then what is the remaining number?**

A) ZY-V B) (Z/V)-3-Y C) (Z/X)-Z-Y D) 3V-Z-Y E)

**V-Z-Y**

Sol: Total of 3 numbers = 3xV = 3V

Let, remaining number be X.

**:.**Z+Y+X = 3V

=> X = 3V - Z -Y

Ans: (D)

**7. The average of 7 numbers is 12. After discarding one number, the average becomes 11. What is the discarded number?**

**A) 7 B) 10 C) 18 D) 12 E) 15**

Sol: Total of 7 numbers = 12x7 = 84

Total of 6 numbers = 11x6 = 66

---------------------------------

Discarded number = 18

Ans: (C)

**8. Francis had an average of 75 on her first four Geometry test. After taking the next test, her average dropped 72. How much did she get in the fifth test?**

A) 54 B) 56 C) 58 D) 60 E) 73.5

Sol: Total marks of the first four test = 75x4 = 300

Total marks of the first five test = 72x5 = 360

-----------------------------------------------

**:.**Marks of the fifth test ( 360-300) = 60

Ans: (D)

**9. For a certain student the average of five stet scores is 83. If four of the scores are 81,79,85,90, what is the score of the fifth test?**

Sol: Let, fifth test score be x.

**:. (**X+81+79+85+90

**)/**5 = 83

**=>**X + 335 = 415

=> X= 415 - 335

=> X = 80

Ans: 80

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