Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

Answer: A) 36 Explanation: (45 x 9)/40 = (M x 7)/56 => M = 81 => 81 – 45 = 36

Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.

Answer: C) 35 Explanation: 48, 54, 63, 81 and 105 are divisible by 3 but not 35.

Answer: D) 3 hrs 45 min Explanation: Time taken by one tap to fill half of the tank = 3 hrs. Part filled by the taps in 1 hour = 4 x 1/6 = 2/3 Remaining part = 1 - 1/2 = 1/2 2/3 : 1/2 :: 1 : p p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min So, total time taken = 3 hrs 45 min.

Answer: C) Chile Explanation: The construction of the world’s largest optical telescope has started in northern Chile, which is expected to begin operating in 2024. The Extremely Large Telescope (ELT) is being built by the European Southern Observatory (ESO) and will have a main mirror that is 39m in diameter. The telescope will be positioned on top of Cerro Armazones – a 3046-metre long mountain Chile. It will tackle a wide range of scientific challenges, including probing Earth-like exoplanets for signs of life, studying the nature of dark energy and dark matter, and observing the universe’s early stages to explore humans’ origins.

Answer: B) 29 May Explanation: The United Nations General Assembly designated 29 May as the International Day of United Nations Peacekeepers. The day has two purposes: To honour the memory of the UN peacekeepers who have lost their lives in the cause of peace. To pay tribute to all the men and women who have served and continue to serve in UN Peacekeeping operations for their high level of professionalism, dedication and courage. The theme for the 2017 International Day of UN Peacekeepers is “Investing in Peace Around the World“.

Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.