Ques:- A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
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
Recent Answer : Added by Yash G On 2023-03-01 17:24:09:
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
Ques:- The ratio fo Boys to Girls is 6:4. 60% of the boys and 40% of girls take lunch in the canteen. What % of class takes lunch in canteen.
Recent Answer : Added by vivin On 2022-03-09 16:46:02:
assume the ratio 6:4 to be 60:40
boys taking lunch in canteen=60% of 60=36
Girls taking lunch in the canteen=40% of 40=16
Total boys and girls taking lunch in the canteen=52
Total students we assumed is 60+40=100
Therefore percentage of boys and girls taking lunch in the canteen=(52/100)*100=52%
Ques:- The least number which when divided by 8, 12 and 16, leave in each remainder 3, is?
Recent Answer : Added by Aashish On 2022-08-14 16:25:42:
LCM=48
Then add remainder 3
ans =51
Ques:- consider expresion ‘ab’ . what happens when ‘a’ is divided by ‘c’ & ‘b’ is multiplied by ‘c’.
Recent Answer : Added by Admin On 2020-05-17 11:59:58:
value remains same
Ques:- What is the advantage of the team work?
Ques:- 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?(a) 30(b) 20(c) 19(d) 29
Recent Answer : Added by Rajarshi Gangopadhyay On 2021-12-13 17:58:41:
30
Ques:- What about past experience in non revenue products ?
Ques:- Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Recent Answer : Added by Pawan On 2021-07-18 09:17:06:
Ans. 175
Relative speed in m/s=40-22=18X5/18=5m/s
Total distance=125+x m
T=1min=60 s
D=sXt
125+x=5X60
x=175
Ques:- If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
Recent Answer : Added by anit On 2021-10-08 16:31:40:
2:1
Ques:- “How many basketballs would fit in this room?”
Ques:- Are you a leader?
Ques:- There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Recent Answer : Added by jeevi sireesha On 2022-11-29 17:06:55:
4
Ques:- If the annual rate of simple interest increases from 10% to 12.5%, a man’s yearly income increases by Rs. 1250. His principal in Rs. is?
Ques:- Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.
Ques:- Position in this company
Ques:- Two trains 240 metres and 270 metres in length are running towards each other on parallel lines, one at the rate of 60 kmph and another at 48 kmph. How much time will they take to cross each other?
A. 14 sec.
B. 15 sec.
C. 16 sec.
D. 17 sec.
Recent Answer : Added by Somaskandhan On 2022-09-22 16:39:53:
17 secs
Ques:- Why do you want to relocate?
Ques:- What would you do for us? What can you do for us thatsomeone else can't?
Recent Answer : Added by Kanishk Rathore On 2022-08-14 16:33:55:
Creative mind and innovative ideas is what I can offer to you. Please have a look at my work portfolio. I do not copy anyone’s work, I do not try to imitate the work of other creators. Gaining my inspiration from everyday life
Ques:- Tell me about a time you were able to successfully dealwith another personeven when that individual may not have personally liked you(or vice versa).
Ques:- A man pushed his car to a hotel and lost his fortune. What happened?
Ques:- The ratio between the present ages of A and B is 5:3 respectively. The ratio between A’s age 4 years ago and B’s age 4 years hence is 1:1. What is the ratio between A’s age 4 years hence and B’s age 4 years ago?
Recent Answer : Added by Jozef Bugoš On 2022-03-09 16:28:41:
x = 5/3y
x – 4 = y + 4
x – 8 = y
x = 5/3 * (x-8)
5/3x – 40/3 = x
2/3x = 40/3
2x = 40
x = 20
y = 20 – 8
y = 12
x + 4 = 24
y – 4 = 8
Ratio is 24:8 , so 3:1
Ques:- What have you done to improve your knowledge in the last year?
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
Ques:- Why do you want work in our company?
Ques:- How many numbers of hacking over concrete surface required for 1 sq m area ?
Ques:- One half of a two digit number exceeds its one third by 6. Find the sum of the digits of the number?
Recent Answer : Added by Sohini Mitra On 2022-09-02 17:02:37:
Let the number be 10Y+X
(10Y+X)/2 = (10X+Y)/3+6
(10Y+X)(1/2-1/3) = 6
10Y+X = 36
Therefore, sum of the digits = 3+6 = 9
Ans: 9
Ques:- A 4 digit no may consist of the digits 6,2,7,5 where none of the nos are repeated.Find the possible no of combinations divisible by 36?
Recent Answer : Added by Admin On 2020-05-17 12:02:15:
no combinations is there because a number divisible by 36
also divisible by its divisors anu.sum of 4 digits=20,whis
is not multiple of 3.so it is cannot divisible by 3
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