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Ques:- The number of prime factors in the expression (6)10 x (7)17 x (11)27 is
A. 44
B. 54
C. 64
D. 71
Recent Answer : Added by Rahul Kumar Tiwary On 2021-11-13 11:02:13:
610 × 717 × 1127
= (2 × 3)10 × 717 × 1127
= 210 × 310 × 717 × 1127
Number of prime factors in the given expression
= (10 + 10 + 17 + 27)
= 64
Ques:- What is the number of zeros at the end of the product of the numbers from 1 to 100?
Recent Answer : Added by Admin On 2022-09-29 17:42:15:
1×2×…100=100!
Number of zeros in product of n numbers =[5n]+[52n]+[53n]+…
Number of zeros in product of 100 numbers =[5100]+[52100]+[53100]
where [.] is greatest integer function
=[20]+[4]+[0.8]=20+4=24
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Ques:- What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?
Recent Answer : Added by Kalyani Nanaware On 2022-08-14 16:43:06:
The numbers that lie between 100 and 1000 which are divisible by 14 are 112, 126,140 …,994
a = 112; l = 994, d = 14
n= (l−a)/d+1
= (994-112)/14+1
= 64
Sn=n/2(l+a)
= 64/2(994+112)
= 32*1106
= 35392
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Recent Answer : Added by Admin On 2022-09-28 17:28:18:
$57.30
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Recent Answer : Added by DK BOSS On 2021-07-17 06:27:50:
Maximum number of edges = 9. Start from one corner. Select any face including that corner. Complete a square (4 edges) around the face to reach at the starting corner point . Now, move to the opposite face through the edge joining them and passing through the starting point(1 edge). Now, complete the square of edges around this face(4 edges). Total = 4+1+4 = 9 edges
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Recent Answer : Added by Occur Rasul On 2022-03-09 16:26:35:
I will first need to understand why he/she behaves so to establish the exact cause and try persuade him to appreciate roles and responsibilities of the various Team members in trying to achieve organizational goals.
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610 × 717 × 1127
= (2 × 3)10 × 717 × 1127
= 210 × 310 × 717 × 1127
Number of prime factors in the given expression
= (10 + 10 + 17 + 27)
= 64