Programming
October 20, 2023Functions
October 20, 2023Programming
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Question 287
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Consider the following program segment :
d=0;
for(i=1; i<31, ++i)
for(j=1; j<31, ++j)
for(k=1; k<31, ++k)
if ((i+j+k)%3)= = 0);
d = d + 1;
printf(“%d”, d);
The output will be
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9000
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3000
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90
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2700
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Question 287 Explanation:
Step1: Each for loop will execute 30 times, then total number of iterations are 30*30*30=27000,
But value “d” is incremented only factors of 3 only.
Step2: For the values i=1, j=1 then
k=1,4,7,10,13,16,19,22,25 and 28(10 times)
i=1 and j=2 then
k=3,6,9,12,15,18,21,24,27,and 30(10 times)
i=1 and j=3 then
K=2,5,8,11,14,17,20,23,26,29(10 times)
Then for i=1 value there will be 30*10 =300 times.
Finally for all “i” values from 1 to 30 is
= 300*30
= 9000
But value “d” is incremented only factors of 3 only.
Step2: For the values i=1, j=1 then
k=1,4,7,10,13,16,19,22,25 and 28(10 times)
i=1 and j=2 then
k=3,6,9,12,15,18,21,24,27,and 30(10 times)
i=1 and j=3 then
K=2,5,8,11,14,17,20,23,26,29(10 times)
Then for i=1 value there will be 30*10 =300 times.
Finally for all “i” values from 1 to 30 is
= 300*30
= 9000
Correct Answer: A
Question 287 Explanation:
Step1: Each for loop will execute 30 times, then total number of iterations are 30*30*30=27000,
But value “d” is incremented only factors of 3 only.
Step2: For the values i=1, j=1 then
k=1,4,7,10,13,16,19,22,25 and 28(10 times)
i=1 and j=2 then
k=3,6,9,12,15,18,21,24,27,and 30(10 times)
i=1 and j=3 then
K=2,5,8,11,14,17,20,23,26,29(10 times)
Then for i=1 value there will be 30*10 =300 times.
Finally for all “i” values from 1 to 30 is
= 300*30
= 9000
But value “d” is incremented only factors of 3 only.
Step2: For the values i=1, j=1 then
k=1,4,7,10,13,16,19,22,25 and 28(10 times)
i=1 and j=2 then
k=3,6,9,12,15,18,21,24,27,and 30(10 times)
i=1 and j=3 then
K=2,5,8,11,14,17,20,23,26,29(10 times)
Then for i=1 value there will be 30*10 =300 times.
Finally for all “i” values from 1 to 30 is
= 300*30
= 9000
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