Ques:- Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeros will the product end?
A. 1
B. 4
C. 5
D. 10
Ques:- Customer Relationships
Ques:- The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Recent Answer : :
12
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Recent Answer : :
Rs. 1500
Ques:- What is supernatural power.
Ques:- A fly is there 1 feet below the ceiling right across a wall length is 30m at equal distance from both the ends. There is a spider 1 feet above floor right across the long wall equidistant from both the ends. If the width of the room is 12m and 12m, what distance is to be traveled by the spider to catch the fly, if it takes the shortest path
Recent Answer : :
42m
Ques:- The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Ques:- If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance (in miles) from T to R?
A. 25
B. 34
C. 50
D. 2500
E. 1500
Recent Answer : :
c 50
Ques:- How many golf balls can fit in a school bus?
Ques:- The G.C.D. of two whole numbers is 5 and their LCM is 60. If one of the number is 20, then the other number would be
A. 13
B. 15
C. 16
D. 25
Recent Answer : :
G.c.d=num1 *num2/lcm
Num1=20
Gcd=5
Lcm=60
5=(20*num2)/60
Num2= 5*60/20
Num2=15
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Ques:- The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
Recent Answer : :
6+8+10+10= 36
6²+8²+10²+12²=344
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Ques:- Total 5 children,youngest 3yrs old and no 2 children hve the same age ,sum of their age is26.Find the age of eldest?
Recent Answer : :
8 is the answer
b’coz no two have the same age
8+6+5+4+3=26
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Recent Answer : :
Can someone confirm that it is : 5/9 * 4/8 * 3/7 = 11.9% that you choose 3 good bulbs in a row
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Recent Answer : :
I would design a voice integrated clock that reads out the time aloud whenever people ask for time
Ques:- if a ball is dropped from 8 meter and it bounce back half the distance then what is the distance it travel before going to rest?
Recent Answer : :
to reach land
first time it travels 8 mtrs
next time (half=4) 4+4 mtrs (up&down)
next time (half=4) 2+2 mtrs (up&down)
next time (half=4) 1+1 mtrs (up&down)
and so on.
Altogether,close to 24 mtrs.
Ques:- About personal information, team handling, achievements and work profile
Ques:- HOW MANY MEMBER IN YOUR HOUSE
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Recent Answer : :
1/3rd of it
Ques:- 2003 * 2004 – 2001 * 2002 = ?
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To determine how many consecutive zeros the product of S will end with, we need to find the highest power of 10 that divides the product. This is equivalent to finding the highest power of 5 that divides the product, since the number of factors of 2 will always be greater than the number of factors of 5.
The primes in S are {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}.
There are 24 primes in S, so the product of S is:
2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 x 23 x 29 x 31 x 37 x 41 x 43 x 47 x 53 x 59 x 61 x 67 x 71 x 73 x 79 x 83 x 89 x 97
We need to find the highest power of 5 that divides this product. To do this, we count the number of factors of 5 in the prime factorization of each number in S.
5 appears once: 5
5 appears once: 25
5 appears once: 35
5 appears once: 55
5 appears once: 65
5 appears once: 85
So, there are six factors of 5 in the product of S. However, we also need to consider the powers of 5 that arise from the factors 25, 35, 55, and 65.
25 = 5 x 5 appears once: 25
35 = 5 x 7 appears once: 35
55 = 5 x 11 appears once: 55
65 = 5 x 13 appears once: 65
Each of these numbers contributes an additional factor of 5 to the product of S. Therefore, there are 6 + 4 = 10 factors of 5 in the product of S.
Since each factor of 5 corresponds to a factor of 10, we know that the product of S will end with 10 zeros. Therefore, the product of S will end with 10 consecutive zeros