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Ques:- Who was the founder of the capital city Pataliputra inImperial Magadha?(1) Bimbisara(2) Ashoka(3) Ajatasatru(4) Samudra Gupta
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:- The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
Recent Answer :
: 50 each
3x -y = 100
4x-2y = 100
Ques:- There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and total number of their legs is 192. Find the number of total rabbits?
Recent Answer :
: 24 peacocks and 36 rabbits
Ques:- The sum of three consecutive even numbers is 42. Find the middle number of the three?
Recent Answer :
: X+x+2+x+3=42
3x+6=42
3x=42-6=36
X=12
X+2=14
X+3=15
Middle number 14
Ques:- A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Recent Answer :
: 2hr 30min
Ques:- A man said to his son, “I was two-third of your present age when you were born”. If the present age of the man is 48 years, find the present age of the son?
Ques:- Why is a manhole cover round?
Ques:- If the list price of a book is reduced by Rs. 5, then a person can buy 5 more books for Rs. 300. The original cost of the book is?
Recent Answer :
: 20- buy 15 books
15- buy 20 books
Original price is 20.
Ques:- 12.05 x 5.4 ? 0.6 = ?
Recent Answer :
: =12.05×5.4/0.6
=12.05×9.0
=108.45
Ques:- What do you enjoy most about your current/last job?
Ques:- How amny times u met ur P.M?(In P.M)
Ques:- Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row ?
Ques:- Out of 80 coins, one is counterfeit. What is the minimum number of weighings needed to find out the counterfeit coin?
Recent Answer :
: 79
Ques:- In which ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?
A. 1 : 2
B. 2 : 1
C. 2 : 3
D. 3 : 2
Recent Answer :
: B
Ques:- Do you have plans for continued study?
Ques:- Future growth, reasons for considering Smart Cube, reasons of leaving current org.
Ques:- Tell me something about you & your experience?
Ques:- In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?
Recent Answer :
: (x+2)+(x)+(x-2)
X+2+x+x-2=18
3x=18
X=6
The 3digit number is 864
Ques:- opposite to ESSENTIAL?
Recent Answer :
: DISSENTIAL
Ques:- A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A. 120 metres
B. 150 metres
C. 180 metres
D. 200 metres
Recent Answer :
: 60*5/18*9=150
Ques:- A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
Recent Answer :
: 40
Ques:- Describe yourself, what do you think about your own?
Ques:- Find out the wrong number in the series:
4, 5, 15, 49, 201, 1011, 6073
4, 5, 15, 49, 201, 1011, 6073
A. 5
B. 15
C. 49
D. 201
Recent Answer :
: Correct option is A)
2nd term =(1stterm×1+2)=(4×1+2)=6
3rd term =(2ndterm×2+3)=(6×2+3)=15
4th term =(3rdterm×3+4)=(15×3+4)=49
5th term =(4thterm×4+5)=(49×4+5)=201 and so on
∴5 is wrong.
Ques:- In a grass field, If there are 40 cows, they could eat for 40 days. If there are 30 cows, they could eat for 60 days. Than if 20 cows, How much day they could eat?
A. 60
B. 80
C. 55
D. 50
Recent Answer :
: 40
40
30
60
– 10 cows
+ 20 days
if 40 cows can eat for forty days
then 20 cows can eat for 80 days
Ques:- Where do you find yourself 2 years down the line from now?
Ques:- The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime is
A. 17
B. 29
C. 37
D. 53
Recent Answer :
: b
Ques:- Tell me about ur's favourite place in hyd
Ques:- P, Q, R, S, T and U are six cities which are in a row in the same order. A bus, b1 travels from P to U and another bus b2 travel from U to P. The bus b1 reaches S at 10:40 and bus b2 reaches Q at 10:35 if the travel time between any two adjacent cities is 40 minutes and the stoppage time at each city is 15 minutes, then at what time do they start at their respective destinations?
Ques:- When your credibility is compromised, what steps do you take to rectify the situation?
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