Question 2739 – UGC NET CS 2017 Jan -paper-2
April 3, 2024Question 6917 – UGC NET CS 2015 Dec – paper-3
April 3, 2024Question 2747 – UGC NET CS 2017 Jan -paper-2
How many multiples of 6 are there between the following pairs of numbers ?
0 and 100 and –6 and 34
Correct Answer: C
Question 4 Explanation:
Method-1:
0 and 100 → Counting sequentially:
0,6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96
Total=17
–6 and 34 → Counting sequentially: -6,0,6,12,18,24,30
Total=7
Method-2:
0 and 100 → Maximum number is 100. Divide ⌊100/6⌋ = 16+1 =17
Here, +1 because of 0.
–6 and 34 → Maximum number is 34. Divide ⌊34/6⌋ = 5+1+1 =7
Here, +1 because of 0 and +1 for -6
0 and 100 → Counting sequentially:
0,6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96
Total=17
–6 and 34 → Counting sequentially: -6,0,6,12,18,24,30
Total=7
Method-2:
0 and 100 → Maximum number is 100. Divide ⌊100/6⌋ = 16+1 =17
Here, +1 because of 0.
–6 and 34 → Maximum number is 34. Divide ⌊34/6⌋ = 5+1+1 =7
Here, +1 because of 0 and +1 for -6
16 and 6
17 and 6
17 and 7
16 and 7
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