12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.
Diff in ages = 8 years.
when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.
Taking p = 11
2p - 1 = 211 - 1
= 2047
Since 2047 is divisible by 23 it is not prime. Thus, required least positive prime number is 11.
So, the number 47 is wrong and must be replaced by 46.
Multiplying 3.242 x 14=4.5388
Now divide 4.5388 by 100
So, 4.5388 ÷ 100= 0.045388
? Shift the decimal two places to the left as 100
Let us draw a figure from given question.
Let, AB = 100 m be the height of a tower, P is a point on the ground such that ∠APB = 30°
From right triangle ABP,
BP = 100 cot 30°
⇒ BP = 100 √3
⇒ BP = 100 X 1.73
⇒ BP = 173 meter
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
∴ Required difference = (42 - 36) years = 6 years.
Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
C.P. of 1 litre mixture = Re. | ❨ | 100 | x 1 | ❩ | = | 4 |
125 | 5 |
By the rule of alligation, we have:
C.P. of 1 litre of milk C.P. of 1 litre of water | |||||
Re. 1 | Mean Price
|
0 | |||
|
|
∴ Ratio of milk to water = | 4 | : | 1 | = 4 : 1. |
5 | 5 |
Hence, percentage of water in the mixture = | ❨ | 1 | x 100 | ❩% | = 20%. |
5 |
Then, distance travelled on bicycle = (61 -x) km.
So, | x | + | (61 -x) | = 9 |
4 | 9 |
⟹ 9x + 4(61 -x) = 9 x 36
⟹ 5x = 80
⟹ x = 16 km.
? = 3.2 x 8.1 + 3185 ÷ 4.95
= 25.92 + 643.43 = 669.35 = 670
Exp. = (.35 x .0015) / (.25 x .07)
= ( 35 x 15) / (25 x 7 x 100)
= (3/100) x 100 %
= 3%
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