A tank is fitted with two taps. The first tap can fill the tank completely in 45 minutes and the second tap can empty the full tank in one hour. If both the taps are opened alternately for one minute, then in how many hours the empty tank will be filled completely?

Out of the given responses one of the factors of  (a²-b²)³+(b²-c²)³+(c²-a²)³ is 

If Rs 1380 is divided into A, B and C in such a way that A gets 5 times B's share and 3 times C's share. Then what is the value of C parts?

If $$ x=(164)^{169}+ (333)^{337}-(727)^{726}$$ then what is the units digit of x?

120 men consume 720 kg of rice in 30 days. In how many days can 90 men consume 270 kg?

The ratio of the number of students to the number of girls students in the school of 1638 students is 5: 2. If the number of girl students increases to 60, then what should be the decrease in the number of students to keep the new ratio of students to girls 4: 3?

Aryan invested ₹ 5200 at 4 %, 6 % and 8 % per annum simple interest. At the end of the year, he got the same interest in all the three cases, find the money invested at 4%.