Ques:- The smallest number when increased by ” 1 ” is exactly divisible by 12, 18, 24, 32 and 40 is:
Recent Answer : Added by Mahesh On 2021-07-30 16:30:08:
lcm (12,18,24,32,40) – 1
1440-1 = 1439
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Ques:- There are 1997 doors in a auditorium and as many as people as the no of doors open enter the auditorium .A door was closed and as many as people as no of doors open leave the auditorium . the process was repeated till the no of doors is equal to1.find the total no of peoples enter the auditorium?
Recent Answer : Added by Admin On 2020-05-17 12:02:12:
1997
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Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Recent Answer : Added by Admin On 2020-05-17 12:01:23:
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3
Ques:- In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects the total number of students is
A. 200
B. 400
C. 600
D. 800
Recent Answer : Added by Phani On 2022-03-09 16:41:44:
Percentage of people passed = (passed in eng) + (passed in math) – ( passed in both)
Which is 90% of students passed and 10% failed
10% of X = 40
X = 400
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Recent Answer : Added by olebon On 2021-10-25 03:53:35:
77
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Ques:- The price of a product is reduced by 30% . By what percentage should it be increased to make it 100%
Recent Answer : Added by Admin On 2020-05-17 12:03:22:
30/70*100=42.87
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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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Ques:- What was the day of the week of 1st January 2001?
A. Tuesday
B. Wednesday
C. Friday
D. Sunday
Recent Answer : Added by Muhammad Bilal On 2021-11-24 16:45:21:
lcm (12,18,24,32,40) – 1
1440-1 = 1439