At 9 o'clock, the hour hand is at 9 and the minute hand is at 12. it means that the two hands are 15 min spaces apart .To be in the same straight line (but not together ), they will be 30 min space apart .
? The minute hand will have to gain (30 - 15) = 15 min space over the hour hand .
As we Know, 55 min spaces are gained in 60 min.
? 15 min will be gained in (60/55 x 15) min = 180/11 = 164 /11 min
Hence, the hands will be in the same straight line but not together at 164/ 11 min past 9.
Let assume the game has P points.
Then A has P points , B has (P ? 15) and C has (P ? 22) points and also if B has P points then C has (P ? 10) points.
Applying chain rule,
P x P ( P ? 22 ) = P ( P ? 15) ( P ? 10)
? P2 ? 22P = P2 ? 25P + 150
? 3P = 150
? P = 50
a / b = 0.04 / 1.5
= 4 / 150
= 2 / 75
? Given Exp. (b - a) / ( b + a)
= (1- a/b ) / (1 + a/b)
= (1- 2 / 75) / (1 + 2 / 75)
= ( 73/75 ) / ( 77/75)
= 73/77
0.6 cm represents 6.6 km in a scale.
1 cm represents 6.6 / 0.6 km in a scale.
80.5 cm represents 6.6 x 80.5 / 0.6 km in a scale.
80.5 cm represents 11 x 80.5 km in a scale.
80.5 cm represents 885.5 km in a scale.
As we know that the angles are supplementary so sum of angles will be 180 degree.
Let us assume that the ratio factor is r.
According to question,
Angles are supplementary and have a ratio of 1:4.
r + 4r = 180
? 5r = 180
? r = 180/5
? r = 36
If x = |
|
, then the value of |
|
+ |
|
is |
a + b | x - 2a |
x - 2b |
The pattern is 1 x 3, 2 x 5, 3 x 7, 4 x 9, 5 x 11, 6 x 13, 7 x 15 etc.
So 70 is not correct.
Total income = Total expenditure + Total savings
We are not find the average savings of B and C, Since data is insufficient.
Efficiency of Kareena and Krishna = 11.11 + 5.55 = 16.66%
Work done in 3 days = 3 x 16.66 = 50%
Rest work done by Kareena, Krishna and Shahid = 50/50 = 1 day
(Since efficiency of Shahid = 33%)
Thus in ( 3 + 1) days they have completed the work = 4 days.
A's and B,s 1 h work= 1/10
B's and C,s 1 h work = 1/15
and A's and C's 1 h work = 1/12
? A's B's and C's 1 h work
= (1/2) x [(1/10) + (1/15) + (1/12)] = (1/2) x (1/4) = 1/8
Hence B's work in 1 h = (1/8) - (1/12) = 1/24
? B independently can complete the work in 24 h.
Let capital = Rs . P
Then, SI1 - SI2 = 104.
? (P x 13 x 1)/100 - (P x 25/2 x 1) /100 = 104
? 13P/100 - P/8 = 104
? 26P -25P = (104 x 200)
? P = 20800
? Capital = Rs. 20800
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