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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:- What's the activities in your job?
Ques:- Insert the missing number:
5, 10, 13, 26, 29, 58, 61, (…..)
5, 10, 13, 26, 29, 58, 61, (…..)
A. 64
B. 122
C. 125
D. 128
Recent Answer : :
122
Ques:- A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.
Ques:- What difficulties do you face in your job as a children's media publicist?
Ques:- What bugs you about coworkers or bosses?
Ques:- For 2009, World Bank has projected India?s GDP growth at?
Recent Answer : :
In a cube all the diagonal and sides are equal, we can go diagonally.
Ques:- A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Ques:- Tell me about a time when old solutions didn’t work?
Ques:- Difference between goal and ambition?
Ques:- A boy multiplied a number with 10 and got 100. If he divided it by 10, what would be the answer?
Recent Answer : :
1
Ques:- REPUBLICAN = 108 so DEMOCRATE = ?
Recent Answer : :
democrate=1008
Ques:- Worldwide size of designer wear industry is about?
A. Rs. 35 billion
B. Rs. 25 billion
C. Rs. 10 billion
D. Rs. 50 billion
Recent Answer : :
It is About 35 Billion
Ques:- Have you applied to any other areas apart from banking?
Ques:- Introduce urself?
Ques:- Tell me about a situation where you were aware of a serious mistake made by a colleague and what did you do about it?
Ques:- How can you say that you are a good team player with example
Ques:- Why are you not interested in government job?
Ques:- Four couples sit around a circular table in a party. Every husband sits to the right of his wife. P, Q, R and S are husbands and T, U, V and W are wives. Q – U and R – V are two married couples. S does not sit next to V. T sits to the left of P, who sits opposite S. If P interchange his place with the person who sits opposite to R disregarding the condition that husband and wife sit together, then who sits to the right of U?
Ques:- 441 : 361 :: 729 : __
Recent Answer : :
625
Ques:- My family background.
Ques:- Which one of the following numbers is divisible by 3?
A. 2345678
B. 2876423
C. 4006020
D. 9566003
Recent Answer : :
The correct ANS: option C
Ques:- If sachin score 76more than ahzar , and azhar and robin scores sum is 94 and azhar scores 76 less than dravid and dravid score 26 more than robin . What was the total score done in match?
Recent Answer : :
Robin =72
Dravid = 98
Azhar = 22
Sachine = 98
Total score = 290
Ques:- Tell me about something you did ? or failed to do ? that you now feel a little ashamed of.
Ques:- If point P is on line segment AB, then which of the following is always true? (1) AP = PB (2) AP > PB (3) PB > AP (4) AB > AP (5) AB > AP + PB
Recent Answer : :
option 5
Ques:- Are you willing to work at night?
Recent Answer : :
yes
Ques:- Find out the wrong number in the series:
1, 3, 10, 21, 64, 129, 356, 777
1, 3, 10, 21, 64, 129, 356, 777
A. 356
B. 129
C. 64
D. 10
Recent Answer : :
a
Ques:- Tom has three boxes with fruits in his barn: one box with apples, one box with pears, and one box with both apples and pears. The boxes have labels that describe the contents, but none of these labels is on the right box. How can Tom, by taking only one piece of fruit from one box, determine what each of the boxes contains?
Ques:- Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him.What is the length of faster train ?(a) 100m(b) 75m(c) 120m(d) 50m
Ques:- A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 cm. Find the breadth of the field is?
Recent Answer : :
How breadth is 19.84..?
Apply Pythagoras therom,
a^2+b^2=c^2,
Lets Assume
c is hypotenuse or diagonal,
a is length or opposite side,
b is breadth or adjacent side,
Then,
256+b^2=400
b^2=144
b=12,
So the breadth is 12 cm
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