Ques:- Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
A. 1 : 3
B. 2 : 3
C. 4 : 3
D. 6 : 7
Recent Answer : Added by Chetan On 2021-09-06 07:14:01:
4:3
A—–>B (first train)
B——>A(second train)
A/B=Srureroot((time to B)/(time to A))
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Recent Answer : Added by Madhusudhan On 2021-12-09 18:40:11:
3 miutes
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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
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
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Recent Answer : Added by Admin On 2020-05-17 11:59:22:
130 years
Ques:- In a division sum, quotient is 403, divisor is 100 and remainder is 58. Then dividend will be
A. 40318
B. 40358
C. 41318
D. 49158
Recent Answer : Added by Shubham ojha On 2022-09-15 16:36:55:
40358
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21
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A. 3 : 4
B. 3 : 5
C. 15 : 23
D. 17 : 3
Recent Answer : Added by Admin On 2022-09-25 04:11:46:
D. 17 : 3
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A. QERUERI
B. REQUERI
C. ERIUQER
D. IREUQER
E. None of these
Recent Answer : Added by 9074743593 On 2021-07-28 15:08:31:
C
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sister
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SI = PTR / 100
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Recent Answer : Added by Admin On 2022-09-29 15:21:15:
There are 18 numbers between 100 and 300 that are divisible by 11: 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242, 253, 264, 275, 286, 297.
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Recent Answer : Added by Stephanie Brewer On 2022-01-08 16:07:12:
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Ques:- You walk upwards on an escalator, with a speed of 1 step per second. After 50 steps you are at the end. You turn around and run downwards with a speed of 5 steps per second. After 125 steps you are back at the beginning of the escalator. How many steps do you need if the escalator stands still?
Recent Answer : Added by Swaroop Sittula On 2021-05-15 06:40:46:
100 steps(1step/sec)
Ques:- Complete the series: 2, 5, 9, 19, 37, ……
A. 72
B. 74
C. 75
D. 76
Recent Answer : Added by PRASHANT YADAV On 2022-09-28 17:42:49:
75
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4:3
A—–>B (first train)
B——>A(second train)
A/B=Srureroot((time to B)/(time to A))