[B].
[C].
[D].
Answer: Option C
Explanation:
| 4.036 | = | 403.6 | = 100.9 |
| 0.04 | 4 |
[B].
[C].
[D].
Answer: Option D
Explanation:
| Ratio of initial investments = | 7 | : | 4 | : | 6 | = 105 : 40 : 36. | ||
| 2 | 3 | 5 |
Let the initial investments be 105x, 40x and 36x.
| A : B : C = | 105x x 4 + | 150 | x 105x x 8 | : (40x x 12) : (36x x 12) | ||
| 100 |
= 1680x : 480x : 432x = 35 : 10 : 9.
| Hence, B’s share = Rs. | 21600 x | 10 | = Rs. 4000. | ||
| 54 |
[B].
[C].
[D].
Answer: Option B
Explanation:
(112 + 122 + 132 + … + 202) = (12 + 22 + 32 + … + 202) – (12 + 22 + 32 + … + 102)
| Ref: (12 + 22 + 32 + … + n2) = | 1 | n(n + 1)(2n + 1) | |||
| 6 |
| = | 20 x 21 x 41 | – | 10 x 11 x 21 | ||
| 6 | 6 |
= (2870 – 385)
= 2485.
[B].
[C].
[D].
Answer: Option C
Explanation:
4a2 – 4a + 1 + 3a
= (1)2 + (2a)2 – 2 x 1 x 2a + 3a
= (1 – 2a)2 + 3a
= (1 – 2a) + 3a
= (1 + a)
= (1 + 0.1039)
= 1.1039
[B].
[C].
[D].
Answer: Option B
Explanation:
| Speed of the train relative to man = | 125 | m/sec | |
| 10 |
| = | 25 | m/sec. | |
| 2 |
| = | 25 | x | 18 | km/hr | |
| 2 | 5 |
= 45 km/hr.
Let the speed of the train be x km/hr. Then, relative speed = (x – 5) km/hr.
x – 5 = 45 x = 50 km/hr.
| 1 |
| 2 |
[B].
| 2 |
| 5 |
[C].
| 8 |
| 15 |
[D].
| 9 |
| 20 |
Answer: Option D
Explanation:
Here, S = {1, 2, 3, 4, …., 19, 20}.
Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.
| P(E) = | n(E) | = | 9 | . |
| n(S) | 20 |
A. Rs. 9000.30
B. Rs. 9720
C. Rs. 10123.20
D. Rs. 10483.20
Explanation:
Amount = [25000 * (1 + 12/100)3]
= 25000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20
C.I. = (35123.20 – 25000) = Rs. 10123.20