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The Soyuz spacecraft, integral to the longest-running manned space program in history, is operated by Russia. It is designed for transport to the International Space Station (ISS), carrying astronauts and cosmonauts along with essential supplies. The Soyuz is known for its reliability and is used as a lifeboat in emergencies at the ISS.
A number lies between the cubes of 13 and 14. If the number is divisible by 6 as well as square of 16. Find the number.
The smallest positive integer 'R' which when divided by 9, 18, and 27 leaves 6 as the remainder in each case. Find the value of ('7R' - 20).
The ages of Geeta, Meera and Tina are in the ratio of 6:4:7 respectively. If the sum of their ages is 34 years, what is Meera’s age?
The remainder obtained when (47³ + 35³) is divided by 41 is
Find the smallest number that when divided by 6, 8, and 15 leaves a remainder of 5 in each case.
If the first term is 125 and the common ratio is 3/5, then what will be the fourth term of the geometric progression (G.P)?
Christina spends half of her salary and saves the other half. If she spends ₹ 40,000 monthly, what is her annual savings?