If A = x% of y and B = y% of x, then which of the following is true?
If A = x% of y and B = y% of x, then which of the following is true?
[A].
[B].
[C].
[D].
Answer: Option E
Explanation:
| x% of y = | x | x y | = | y | x x | = y% of x | ||||
| 100 | 100 |
A = B.
[B].
[C].
[D].
Answer: Option E
Explanation:
| x% of y = | x | x y | = | y | x x | = y% of x | ||||
| 100 | 100 |
A = B.
A. 2km/hr
B. 2.8 km/hr
C. 4 km/hr
D. 4.2 km/hr
E. None of these
Explanation:
Speed downstream = 24/10 km/hr = 2.4 km/hr
Speed upstream = 24/12 km/hr = 2 km/hr
Speed of the boat in still water = ½ (2.4 +2)km/hr = 2.2 km/hr
[B].
[C].
[D].
Answer: Option C
Explanation:
The terms are successively divided by 12, 10, 8, 6, …etc.
So, 24 is wrong, it should be 8 (48/6 = 8).
| 1 |
| 22 |
[B].
| 3 |
| 22 |
[C].
| 2 |
| 91 |
[D].
| 2 |
| 77 |
Answer: Option C
Explanation:
Let S be the sample space.
| Then, n(S) | = number of ways of drawing 3 balls out of 15 | |||
| = 15C3 | ||||
|
||||
| = 455. |
Let E = event of getting all the 3 red balls.
| n(E) = 5C3 = 5C2 = | (5 x 4) | = 10. |
| (2 x 1) |
| P(E) = | n(E) | = | 10 | = | 2 | . |
| n(S) | 455 | 91 |
[B].
[C].
[D].
Answer: Option A
Explanation:
Clearly, we have r = 3 cm and h = 4 cm.
| Volume = | 1 | r2h = | 1 | x x 32 x 4 | cm3 | = 12 cm3. | |
| 3 | 3 |
Video Explanation: https://youtu.be/Njsid2mVwUY
[B].
[C].
[D].
Answer: Option B
Explanation:
| Rate downstream = | 16 | kmph = 8 kmph. | |
| 2 |
| Rate upstream = | 16 | kmph = 4 kmph. | |
| 4 |
| Speed in still water = | 1 | (8 + 4) kmph = 6 kmph. |
| 2 |
Video Explanation: https://youtu.be/3D8uAfzz3l0
| 9 | 1 | days |
| 3 |
[B].
[C].
| 12 | 1 | days |
| 4 |
[D].
| 16 | 1 | days |
| 3 |
Answer: Option B
Explanation:
| (A’s 1 day’s work) : (B’s 1 day’s work) = | 7 | : 1 = 7 : 4. |
| 4 |
Let A’s and B’s 1 day’s work be 7x and 4x respectively.
| Then, 7x + 4x = | 1 | 11x = | 1 | x = | 1 | . |
| 7 | 7 | 77 |
| A’s 1 day’s work = | 1 | x 7 | = | 1 | . | ||
| 77 | 11 |