@maddy2807 said:getting a as negative.but not perfect values
I too got a as -ve, not sure about the exact range. By the way , OA is None.
@Torque024 m getng 'E'
By creatng quadratic equation with roots lying in the interval (0,3)...
1) if we take roots to be 1 and 2.........................
=>equation becomes x^2-3x+2=0
=>So here, a=1...means we can rule out option 1 and 4
2)If we take roots as 0.5 and 1.5.......
Equation comes out to be 4x^2-8x+3=0
Now a=4...means can rule out options 2 and 3 too..!!!!
OA- none (E)
By creatng quadratic equation with roots lying in the interval (0,3)...
1) if we take roots to be 1 and 2.........................
=>equation becomes x^2-3x+2=0
=>So here, a=1...means we can rule out option 1 and 4
2)If we take roots as 0.5 and 1.5.......
Equation comes out to be 4x^2-8x+3=0
Now a=4...means can rule out options 2 and 3 too..!!!!
OA- none (E)
In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?
A. 56
A. 56
B. 73
C. 80
D. 120
E. None of the above
@surajsrivastav said:In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?A. 56 B. 73 C. 80 D. 120 E. None of the above
a x b x c x d
a+b+c+d=7
b,c>=1
a+b'+c'+d=5
8c3=56
a+b+c+d=7
b,c>=1
a+b'+c'+d=5
8c3=56
@Cat.Aspirant123 said:In a three digit number ABC, if the number is reversed, it increases by 198. Also, if the tenth andunit €™s place digits are reversed, the number increases by 9. If hundredth and tenth place digits arereversed, the number increases by 90. What is the number?a) 132 b) 321 c) 213 d) 312 e) 123
123?
@surajsrivastav said:In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?A. 56 B. 73 C. 80 D. 120 E. None of the above
56?
@surajsrivastav said:In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?A. 56 B. 73 C. 80 D. 120 E. None of the above
56?
@surajsrivastav said:@mailtoankit@19rsbApproch??
____a____A___b____B______c______C___d____
Let A,B,C be the houses which thief wants to steal,then a,b,c,d represents the number of remaining houses alotted to them
then ,a+b+c+d=7
as A,B,C can't be continuous so minimum value of b and c is 1
taking b=b'+1 and c=c'+1,where b' and c' can take minimum value =0
then above equation will result in a+b'+c'+d=5
no of ways= (5+4-1)C(4-1)=8C3=56
Let A,B,C be the houses which thief wants to steal,then a,b,c,d represents the number of remaining houses alotted to them
then ,a+b+c+d=7
as A,B,C can't be continuous so minimum value of b and c is 1
taking b=b'+1 and c=c'+1,where b' and c' can take minimum value =0
then above equation will result in a+b'+c'+d=5
no of ways= (5+4-1)C(4-1)=8C3=56
There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8:32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?
A. 0
A. 0
B. 1/6
C. 1/4
D. 1/3
E. 1
approch plz...
@surajsrivastav said:In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?A. 56 B. 73 C. 80 D. 120 E. None of the above
OA is 56.
@surajsrivastav said:There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8:32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?A. 0 B. 1/6 C. 1/4 D. 1/3 E. 1approch plz...
1/6?
@surajsrivastav said:There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8:32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?A. 0 B. 1/6 C. 1/4 D. 1/3 E. 1approch plz...
total = 4c2= 6
favorable - first 2 machines faulty, last 2 faulty
2/6 = 1/3
favorable - first 2 machines faulty, last 2 faulty
2/6 = 1/3
@kingsleyx said:(a) If a^x = b , b^y = c , c^z = a , then xyz = 0(b) If p = a^x, q =a^y, (p^y * q^x)^z = a^z, then xyz = 1.(c) If x^a = y^b = z^c and ab+bc+ca=0, then xyz=1.Find the statements which are true !!
1->a^x*b^y*c^z=abc
a^(x-1)*b^(y-1)*c^(z-1)=1
X-1=0
y-1=0
z-1=0
xyz=1
2->a^xyz*a^xyz/a^z=1
a^2xyz/a^z=1
2xyz-z=0
z=0 or xy=1/2
3->x=k^1/a
y=k^1/b
z=k^1/c
xyz=1
k^(1/a+1/b+1/c)=1
1/a+1/b+1/c=0
ab+bc+ca=0
Usain Bolt(UB) needs {(1000/x)+x}ml of water to travel 1m at a speed of x meters per minute.He also needs 40ml of water per minute irrespective of his speed.What is the approximate optimum speed for UB to cover 500m such that his water intake is minimum.
BEGIN YOUR MORNING WITH A "USER FRIENDLY" QUESTION
BEGIN YOUR MORNING WITH A "USER FRIENDLY" QUESTION
@surajsrivastav said:In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?A. 56 B. 73 C. 80 D. 120 E. None of the above
_X_Y_Z_
He has to pick X,Y,Z
Let remaining be blanks be
a+b+c+d=7
b+c>=1 as neither of XY, YZ can be together.
a+b'+c'+d=5
= ways to arrange |||00000 = 8c3 = 56;
He has to pick X,Y,Z
Let remaining be blanks be
a+b+c+d=7
b+c>=1 as neither of XY, YZ can be together.
a+b'+c'+d=5
= ways to arrange |||00000 = 8c3 = 56;
@surajsrivastav said:There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8:32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?A. 0 B. 1/6 C. 1/4 D. 1/3 E. 1approch plz...
In any case maximum he will have to check 3 machines.
time taken to check should be So first 2 will be favourable also each event will have a probability associated with it
D+D 1/2*1/3 =1/6 fave
ND+ND 1/2*1/3 =1/6 fave
ND+D+D 1/2*2/3*1/2 = 1/6
D+ND+D 1/2*2/3*1/2= 1/6
D+ND+ND 1/2*2/3*1/2= 1/6
ND+D+ND 1/2*2/3*1/2= 1/6
P(E)=(2*1/6)/(6*1/6) = 1/3
@krum You have selected directly, don't we have to consider the Probability of selecting defective or the other? Would it be true for any case?
ND+ND 1/2*1/3 =1/6 fave
ND+D+D 1/2*2/3*1/2 = 1/6
D+ND+D 1/2*2/3*1/2= 1/6
D+ND+ND 1/2*2/3*1/2= 1/6
ND+D+ND 1/2*2/3*1/2= 1/6
P(E)=(2*1/6)/(6*1/6) = 1/3
@krum You have selected directly, don't we have to consider the Probability of selecting defective or the other? Would it be true for any case?
@19rsb said:Usain Bolt(UB) needs {(1000/x)+x}ml of water to travel 1m at a speed of x meters per minute.He also needs 40ml of water per minute irrespective of his speed.What is the approximate optimum speed for UB to cover 500m such that his water intake is minimum.BEGIN YOUR MORNING WITH A "USER FRIENDLY" QUESTION
10sqrt(10)m/min?
@19rsb said:Usain Bolt(UB) needs {(1000/x)+x}ml of water to travel 1m at a speed of x meters per minute.He also needs 40ml of water per minute irrespective of his speed.What is the approximate optimum speed for UB to cover 500m such that his water intake is minimum.BEGIN YOUR MORNING WITH A "USER FRIENDLY" QUESTION
Equation formed is coming out to be..:
20,000/x + (1000/x +x)*500 = F(x)
Differentiating
x=sqrt(1040) = 4root(65)
Is the ans 4root(65) ??