Which of the following is a prime number ?
Which of the following is a prime number ?
[A].
[B].
[C].
[D].
Answer: Option D
Explanation:
Clearly, 97 is a prime number.
[B].
| 5 | 2 | min. past 7 |
| 11 |
[C].
| 5 | 3 | min. past 7 |
| 11 |
[D].
| 5 | 5 | min. past 7 |
| 11 |
Answer: Option D
Explanation:
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o’clock, they are 25 min. spaces apart.
Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
| 5 min. spaces are gained in | 60 | x 5 | min | = 5 | 5 | min. | |
| 55 | 11 |
| Required time = 5 | 5 | min. past 7. |
| 11 |
[B].
[C].
[D].
Answer: Option C
Explanation:
Speed downstream = (13 + 4) km/hr = 17 km/hr.
| Time taken to travel 68 km downstream = | 68 | hrs = 4 hrs. | |
| 17 |
[B].
[C].
[D].
Answer: Option B
Explanation:
Clearly, l = (48 – 16)m = 32 m,
b = (36 -16)m = 20 m,
h = 8 m.
Volume of the box = (32 x 20 x 8) m3 = 5120 m3.
[B].
[C].
[D].
Answer: Option C
Explanation:
Let AB be the lighthouse and C and D be the positions of the ships.
Then, AB = 100 m, ACB = 30° and ADB = 45°.
| AB | = tan 30° = | 1 | AC = AB x 3 = 1003 m. |
| AC | 3 |
| AB | = tan 45° = 1 AD = AB = 100 m. |
| AD |
| CD = (AC + AD) | = (1003 + 100) m |
| = 100(3 + 1) | |
| = (100 x 2.73) m | |
| = 273 m. |
A. Rs. 1550
B. Rs. 1650
C. Rs. 1750
D. Rs. 2000
[B].
[C].
[D].
Answer: Option D
Explanation:
Sum of digits = (4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by 9.
x = 7.