@grkkrg said:It's not mentioned in the question that they have to be distinct. I may be wrong here though.
I hav only that doubt. If no.s are not necessarily distinct then A is correct. Otherwise it is D i guess...
Two towns are at a distance of 240 km from each other.A motorist takes 8 hours to cover the distance if travels at a speed of v1 km/h from town a to an intermediate town c,and then continues on his way with an acceleration of xkm/hr^2 . He needs thesame time to cover the whole distance if he travels from A to C at v1km/hr and from C to B at v2km/hr or from A to C at v2km/h and from C to B at v1km/h. find v1 if the accleration 'x' is double v1 in magnitude and v1 is not equal to v2
m getting 15km/h as answer in book it is 20km/h
m getting 15km/h as answer in book it is 20km/h
A bag contains 15 balls of the same size. Each ball is of a single colour, white, red or blue. How many red balls are there in the bag?
Statement 1: The probability of drawing a red ball is the same as that of drawing a blue ball
Statement 2: The probability of randomly drawing a white ball from the bag is 20%
Mahesh and Ramesh are studying in the same class. How many students are there in their class if the difference in their ranks is 8?
Statement 1:Mahesh has equal number of students, who are above as well as below, in terms of rank
Statement 2:The number of students above Ramesh €™s rank is equal to the number of students between Mahesh and Ramesh €™s ranks.
Statement 1:Mahesh has equal number of students, who are above as well as below, in terms of rank
Statement 2:The number of students above Ramesh €™s rank is equal to the number of students between Mahesh and Ramesh €™s ranks.
@vbhvgupta said:A bag contains 15 balls of the same size. Each ball is of a single colour, white, red or blue. How many red balls are there in the bag?Statement 1:The probability of drawing a red ball is the same as that of drawing a blue ballStatement 2:The probability of randomly drawing a white ball from the bag is 20%
Can be answered by both the statements combined
@vbhvgupta said:A bag contains 15 balls of the same size. Each ball is of a single colour, white, red or blue. How many red balls are there in the bag?Statement 1:The probability of drawing a red ball is the same as that of drawing a blue ballStatement 2:The probability of randomly drawing a white ball from the bag is 20%
c €“ €“The data in both the statements together are needed to answer the question
From 1: there is atleast 1 white ball
From 2: 3 out of 15 balls are white
So there are 6 red and 6 blue balls
From 1: there is atleast 1 white ball
From 2: 3 out of 15 balls are white
So there are 6 red and 6 blue balls
@vbhvgupta said:A bag contains 15 balls of the same size. Each ball is of a single colour, white, red or blue. How many red balls are there in the bag?Statement 1:The probability of drawing a red ball is the same as that of drawing a blue ballStatement 2:The probability of randomly drawing a white ball from the bag is 20%
can be answered using both statements
@vbhvgupta said:Mahesh and Ramesh are studying in the same class. How many students are there in their class if the difference in their ranks is 8?Statement 1:Mahesh has equal number of students, who are above as well as below, in terms of rankStatement 2:The number of students above Ramesh €™s rank is equal to the number of students between Mahesh and Ramesh €™s ranks.
Can't be answered by any?
@vbhvgupta said:Mahesh and Ramesh are studying in the same class. How many students are there in their class if the difference in their ranks is 8?Statement 1:Mahesh has equal number of students, who are above as well as below, in terms of rankStatement 2:The number of students above Ramesh €™s rank is equal to the number of students between Mahesh and Ramesh €™s ranks.
can be answered using both
@nole said:Two towns are at a distance of 240 km from each other.A motorist takes 8 hours to cover the distance if travels at a speed of v1 km/h from town a to an intermediate town c,and then continues on his way with an acceleration of xkm/hr^2 . He needs thesame time to cover the whole distance if he travels from A to C at v1km/hr and from C to B at v2km/hr or from A to C at v2km/h and from C to B at v1km/h. find v1 if the accleration 'x' is double v1 in magnitude and v1 is not equal to v2m getting 15km/h as answer in book it is 20km/h
@nole Getting it 20 Km/h
As it is said, if motorist travels at constant speed v1 from A to C & v2 from C to B time required is same as time required if he travels at v2 from A to C & v1 from C to B.
And v1 not equal to v2.
Hence the distance A to C should be equal to C to B. i.e. C is 120 Km apart from both A & B.
Now he travels till C (i.e. first 120 Km) at v1 Km/hr, from there he accelerates at the rate x km/hr^2
Hence using Newtons .... Law :mg:
s= u*t + 1/2*a*t^2
s= distance= here final 120 Km i.e. C to B
u= initial speed = here speed at C= v1
a= acceleration= here x
t= here time taken to travel from C to B= total - time taken to travel from A to C=(8- (120/v1))
Putting these values in equation n solving.
We get simplified form as
(240/v1) - 8)= ((120/v1) -8)^2
Replace 120/v1 by k
Hence we get equation
k^2 - 18k + 72=0
Soln k=6 or k=12
Hence v1= 10 or v1= 20
If v1= 10, then for first 120 km he would take 120/v1= 12 hrs. which violates given condition to complete journey in 8 hrs.
Hence v1= 20 Km/hr
As it is said, if motorist travels at constant speed v1 from A to C & v2 from C to B time required is same as time required if he travels at v2 from A to C & v1 from C to B.
And v1 not equal to v2.
Hence the distance A to C should be equal to C to B. i.e. C is 120 Km apart from both A & B.
Now he travels till C (i.e. first 120 Km) at v1 Km/hr, from there he accelerates at the rate x km/hr^2
Hence using Newtons .... Law :mg:
s= u*t + 1/2*a*t^2
s= distance= here final 120 Km i.e. C to B
u= initial speed = here speed at C= v1
a= acceleration= here x
t= here time taken to travel from C to B= total - time taken to travel from A to C=(8- (120/v1))
Putting these values in equation n solving.
We get simplified form as
(240/v1) - 8)= ((120/v1) -8)^2
Replace 120/v1 by k
Hence we get equation
k^2 - 18k + 72=0
Soln k=6 or k=12
Hence v1= 10 or v1= 20
If v1= 10, then for first 120 km he would take 120/v1= 12 hrs. which violates given condition to complete journey in 8 hrs.
Hence v1= 20 Km/hr
@vbhvgupta said:Mahesh and Ramesh are studying in the same class. How many students are there in their class if the difference in their ranks is 8?Statement 1:Mahesh has equal number of students, who are above as well as below, in terms of rankStatement 2:The number of students above Ramesh €™s rank is equal to the number of students between Mahesh and Ramesh €™s ranks.
From 1 : Students above M = x
From 2 : Students above R = 7
7 R 7 M 15
Can be answered by using both the statements together.
From 2 : Students above R = 7
7 R 7 M 15
Can be answered by using both the statements together.
@floamiya said:Check IQ level in your Blood: "Challenger"www.facebook.com/4753263525194...&Check Maths' Level in your Blood: "CONCEPTUAL"www.facebook.com/4753263525194...Must See www.facebook.com/4753263525194...
3,7,31,127,2047,
8191
2^2 , 2^3, 2^5, 2^7, 2^11, 2^13
8191
2^2 , 2^3, 2^5, 2^7, 2^11, 2^13
@vbhvgupta said:a, b and c are three numbers selected from a set containing ten numbers 0 to 9. Is (a + b + c) a multiple of 9?
Statement 1: Three digit number abc is a multiple of 9
Statement 2: (a ´ b) + c is a multiple of 9
by statement 1 alone
@floamiya said:Check IQ level in your Blood: "Challenger"www.facebook.com/4753263525194...
2^13 -1
@floamiya said:&Check Maths' Level in your Blood: "CONCEPTUAL"www.facebook.com/4753263525194...
1, 2, 145 and 40585
@vbhvgupta said:Mahesh and Ramesh are studying in the same class. How many students are there in their class if the difference in their ranks is 8?
Statement 1:Mahesh has equal number of students, who are above as well as below, in terms of rank
Statement 2:The number of students above Ramesh €™s rank is equal to the number of students between Mahesh and Ramesh €™s ranks.
Can b answered by using both statements ..?