From the given data,
when my age is 24, my mothers age is double of my age
=> 48 yrs is my mothers age
=> Difference is 48 - 24 = 24 years.
When my age is 44
=> My mother is 44 + 24 = 68 years aged.
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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