Relative speed = (32 + 40) = 72 km/h = (72 x 5/18) m/s = 20 m/s
? Length of train = (20 x 6) = 120 m
The banker's gain on a certain sum due 1 | 1 | years hence is | 3 | of the banker's |
2 | 25 |
discount. The rate percent is:
5 | 1 | % |
5 |
9 | 1 | % |
11 |
8 | 1 | % |
8 |
6 | 1 | % |
6 |
9 | 1 | % |
11 |
Then, B.G. = Re. | 3 | . |
25 |
∴ T.D. = (B.D. - B.G.) = Re. | ❨ | 1 - | 3 | ❩ | = Re. | 22 | . |
25 | 25 |
Sum = | ❨ | 1 x (22/25) | ❩ | = Rs. | 22 | . |
1-(22/25) | 3 |
S.I. on Rs. | 22 | for 1 | 1 | years is Re. 1. |
3 | 2 |
∴ Rate = | ❨ | 100 x 1 | ❩% |
|
|||||||
|
Total number of marbles = 6 + 4 + 2 + 3 = 15
Ways of selection of two red marbles = n(E) = 6C2
Ways of selection of two marbles = n(S) = 15C2
So, required probability = (6C2) / (15C2)
= (6 x 5) / (15 x 14) = 1/7
4 | A | = | 2 | B | |
15 | 5 |
⟹ A = | ❨ | 2 | x | 15 | ❩B |
5 | 4 |
⟹ A = | 3 | B |
2 |
⟹ | A | = | 3 |
B | 2 |
⟹ A : B = 3 : 2.
∴ B's share = Rs. | ❨ | 1210 x | 2 | ❩ | = Rs. 484. |
5 |
Part of the tank filled in 1 min by A, B and C = 1/20 + 1/15 +1/12
= (3 + 4 + 5)/60 = 12/60 = 1/5
? Time taken by A, B and C to fill the tank = 5 min
? Time taken by A, B and C to fill 40% of the tank = 40% of 5 = (40/100) x 5 = 2 min.
0.252525 ..... = 0.25= 25/99
Given ratio = 1/3 : 1/4 : 1/5 = 20 : 15 : 12
Let length of the sides be 20k, 15k and 12k.
Then, according to the question,
20k + 15k + 12k = 94
? 47k = 94
? k = 94/47 = 2
Smallest side = 12k = 12 x 2 = 24 cm
Average salary
= 8000 + 5000 + 11000 + 7000 + 9000 / 5
= Rs. 8000
Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.
⟹ (a + b + c) = √400 = 20.
Let the sum borrowed = P
Then, according to the question,
[(P x 6 x 3)/100] + [(P x 9 x 5)/100] + [(P x 13 x 3)/100] = 8160
? (18P + 45P +39P) / 100 = 8160
? 102P/100 = 8160
? P = (8160 x 100)/102
? P = ? 8000
Then, distance covered = 2x metres.
Relative speed = (46 - 36) km/hr
= | ❨ | 10 x | 5 | ❩m/sec |
18 |
= | ❨ | 25 | ❩m/sec |
9 |
∴ | 2x | = | 25 |
36 | 9 |
⟹ 2x = 100
⟹ x = 50.
Comments
There are no comments.Copyright ©CuriousTab. All rights reserved.