1. The average of five positive numbers is 64. The average of the first two numbers is 59 and the average of last two numbers is 63. What is the third number?
(a)76
(b)56
(c)86
(d)Cannot be determined
(e)None of these
EXPLANATION
(a)
Third Number = 64 + (64 – 59)*2 + (64 – 63)*2 = 76
2. An IPL team makes a score of 96 runs in the 17th inning and thus increases his average by 4. What is his average after 17th inning ?
a) 32
b) 35
c) 42
d) 36
e) 33
EXPLANATION
A
Let average after 17th innings be = x
Total runs = 17 x
Average after 16th inning = x – 4
Total runs = 16 ( x – 4)
Also, 16 (x – 4) + 96 = 17 x ? x = 32
3. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
a) 0
b) 1
c) 10
d) 19
e) 20
EXPLANATION
Option D
Average of 20 numbers = 0.
Sum of 20 numbers (0 x 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).
