[B].
[C].
[D].
Answer: Option D
Explanation:
(1*1)+1 , (2*2)+1 , (3*3)+1 , (4*4)+1 , (5*5)+1 , (6*6)+1 , (7*7)+1 , (8*8)+1
But, 64 is out of pattern.
[B].
[C].
[D].
Answer: Option D
Explanation:
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)
Odd days in 1600 years = 0
Odd days in 400 years = 0
5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days
Jan. Feb. March April May
(31 + 28 + 31 + 30 + 28 ) = 148 days
148 days = (21 weeks + 1 day) 1 odd day.
Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.
Given day is Sunday.
| 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 C
Explanation:
Mother’s age when Ayesha’s brother was born = 36 years.
Father’s age when Ayesha’s brother was born = (38 + 4) years = 42 years.
Required difference = (42 – 36) years = 6 years.
[B].
[C].
[D].
Answer: Option B
Explanation:
When n is odd, (xn + an) is always divisible by (x + a).
Each one of (4743 + 4343) and (4747 + 4347) is divisible by (47 + 43).
[B].
[C].
[D].
Answer: Option D
Explanation:
| Speed = | 72 x | 5 | m/sec | = 20 m/sec. | |
| 18 |
Time = 26 sec.
Let the length of the train be x metres.
| Then, | x + 250 | = 20 |
| 26 |
x + 250 = 520
x = 270.
[B].
[C].
[D].
Answer: Option C
Explanation:
Let speed of the car be x kmph.
| Then, speed of the train = | 150 | x | = | 3 | x | kmph. | |
| 100 | 2 |
| 75 | – | 75 | = | 125 | |
| x | (3/2)x | 10 x 60 |
| 75 | – | 50 | = | 5 | |
| x | x | 24 |
| x = | 25 x24 | = 120 kmph. | ||
| 5 |