If the average of 7 numbers is 35 and the average of first 4 is 32, average of last 4 is 38. What is the 4th number? MCQ with Answer and Explanation

If the average of 7 numbers is 35 and the average of first 4 is 32, average of last 4 is 38. What is the 4th number?
A. 30
B. 28
C. 35
D. 32
Answer: Option C
Solution (By JKSSB Mock Tests)
Sum of 7 = 7×35=245. Sum first 4=4×32=128. Sum last 4=4×38=152. 4th number = 128 + 152 - 245 = 35.

This question belongs to: Maths Average
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Question #1
Average of 10 numbers 2580. If average of 6 is 2575, average of remaining 4?
A. 2587.5
B. 2586
C. 2585
D. 2590

Correct Answer: Option A


Explanation:
Sum10=25800. Sum6=15450. Remaining=10350. Average=2587.5.

This question belongs to: Maths Average
Question #2
What is the average of all odd numbers from 1 to 19?
A. 9.5
B. 10.5
C. 10
D. 9

Correct Answer: Option C


Explanation:
Odd numbers: 1,3,5,...,19. There are 10 terms. Sum = n^2 =10^2=100. Average=100/10=10.

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Question #3
The average of 10 numbers is increased by 2 when one number 15 is replaced by another. What is the new number?
A. 35
B. 25
C. 30
D. 40

Correct Answer: Option A


Explanation:
Increase in sum =10×2=20. New number =15+20=35.

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