Question
Select the option in which the numbers share the same
relationship as that shared by the numbers of the given set. (12, 63, 318)Solution
The pattern followed in the given set (12, 63, 318) is: The second number is obtained by multiplying the first by 5 and adding 3. The third number is obtained by multiplying the second by 5 and adding 3. First to Second: (12 x 5) + 3 = 60 + 3 = 63 Second to Third: (63 x 5) + 3 = 315 + 3 = 318 Checking the options for the same logic: Option A: (14, 73, 370) β (14 x 5) + 3 = 73; (73 x 5) + 3 = 368 β 370 Option B: (10, 52, 262) β (10 x 5) + 3 = 53 β 52 Option C: (15, 78, 387) β (15 x 5) + 3 = 75 + 3 = 78, (78 x 5) + 3 = 390 + 3 = 393 Option D: (8, 43, 218) β (8 x 5) + 3 = 43; (43 x 5) + 3 = 215 + 3 = 218
Pipe βAβ can fill a tank in 6 hours whereas pipe βBβ can empty it in 18 hours. If both pipes are opened together while pipe βBβ is closed af...
Pipe βAβ can fill a tank in 15 hours while pipe βBβ can empty it in 45 hours. They were operated on alternate hours starting with pipe βAβ. ...
Pipe 'A' alone takes 15 minutes to fill half of the tank. Pipe 'B' is 4 times as efficient as pipe 'A'. Find the percentage of the tank filled by both i...
- Pipes βXβ and βYβ alone can fill a tank in 12 minutes and 18 minutes, respectively, while pipe βZβ can empty the same tank in 36 minutes. If al...
A tank has two inlet pipes and one outlet pipe. Pipe A can fill the tank in 4 hours, and Pipe B can fill it in 6 hours. The outlet pipe C can empty the ...
Pipe βXβ and pipe βYβ can fill a tank alone in 36 hours and 18 hours, respectively. If both pipes are opened together and pipe βYβ is close...
An inlet pipe can fill an empty tank in 18 minutes whereas an outlet pipe can empty the fully filled tank in 27 minutes. Find the time taken by both the...
Pipe βXβ and pipe βYβ can fill a tank in 30 hours and 45 hours respectively. Pipe βZβ is 20% more efficient than pipe βXβ. If pipe βYοΏ½...
- Pipes A and B alone can fill a tank in 6 hours and 4 hours respectively. When both pipes along with pipe C, an outlet pipe, are opened together, 3/8 of the...
- An inlet pipe can fill an empty tank in 45 minutes whereas an outlet pipe can empty the fully filled tank in 60 minutes. Find the time taken by both the pi...