Ques:- A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?(a) 5 cms(b) 2 cms(c) 3 cms(d) 4 cms
Recent Answer : Added by Saeed On 2022-08-14 16:43:27:
2cm b)
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Ques:- A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, Evaluate the distance of the place?
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:- When an object like cube or sphere is seen along x,y,z,axes we get the same.Apart from these suggest another which has similar characteristics?
Recent Answer : Added by Admin On 2020-05-17 12:01:27:
Triangular Prism
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Ques:- When Arthur is as old as his father Hailey is now, he shall be 5 times as old as his son Clarke is now. By then, Clarke will be 8 times older than Arthur is now. The combined ages of Hailey and Arthur are 100 years. How old is Clarke?
Recent Answer : Added by Stephanie Brewer On 2022-01-08 16:07:12:
Clarke is 80 years old
Ques:- Some persons decide to raise Rs. 3 lakhs by equal contribution from each of them. If they contributed Rs. 50 extra each, the contribution increased to Rs. 3.25 lakhs. How many persons were there ?
A. 400
B. 500
C. 600
D. 700
E. None of these
Recent Answer : Added by BINDHU REDDY On 2021-08-09 01:51:48:
500
Ques:- A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Ques:- What is the missing number in 56 / 7 = ? – 5
Recent Answer : Added by Hakeem Nazia Begum On 2022-09-22 16:40:09:
13
Ques:- Three boxes 1,2,3 contain values 3,17,34. Get 40 in box 1 in 3 steps.
Recent Answer : Added by Admin On 2020-05-17 12:02:04:
(34/17)*3+34
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Ques:- A policeman buys some bunches of yellow bananas at 30 cents per bunch and red bananas 40 cents/bunch .He said if i have split the sum equally and bought bananas he would have got two more bunches find the amount he used it to buy bananas
Recent Answer : Added by Admin On 2020-05-17 12:01:07:
140 cents
Ques:- A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is
A. 4%
B. 10%
C. 20%
D. 40%
Recent Answer : Added by CHANCHAL CHETRY On 2021-11-22 17:29:33:
c
Ques:- Find out the wrong number in the series: 1, 1, 2, 6, 24, 96, 720
A. 6
B. 24
C. 96
D. 720
Recent Answer : Added by Admin On 2022-09-23 19:21:59:
C. 96
Ques:- If the diagonals of a rhombus are 8 cm and 10 cm respectively what will be the area of the rhombus?
A. 35 sq cm
B. 40 sq cm
C. 30 sq cm
D. 20 sq cm
E. None of these
Recent Answer : Added by Admin On 2020-05-17 12:03:58:
( b ) 40 sq cm
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Ques:- Pointing to Meena, Swarup says, “She is the doughter of my grandfather’s only child”. How is Meena related to Swarup?
A. Cousin
B. Sister
C. Aunt
D. Data inadequate
E. None of these
Recent Answer : Added by Laya Augustine On 2022-09-15 16:35:51:
sister
Ques:- One quality of wheat at Rs. 9.30 per kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs. 10 per kg. What is the rate per kg of the second quality of wheat?
A. Rs. 10.30
B. Rs. 10.60
C. Rs. 10.80
D. Rs. 11
Recent Answer : Added by Afridi On 2022-08-14 18:01:09:
11
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Ques:- What is the least number of four digits which is divisible by 4, 6, 8 and 10 ?
Recent Answer : Added by Subhadeep Sur On 2022-05-17 08:56:52:
LCM of 4,6,8 and 10 are 120
So, the least number of four digits is 120*9=1080 ( <1000 )
Ques:- A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?
Recent Answer : Added by Meghna Bardhan On 2021-07-14 14:29:37:
$20
Ques:- If you had enough money to retire right now, would you?
Recent Answer : Added by Kavitha G On 2023-06-08 11:06:40:
2cm b)