SSC MTS Important Questions and Answers 2021

If $$ {a^{x}={(x+y+z)^{y}}}, a^{y}=(x+y+z)^{z}  and \ a^{z}=(x+y+z)^{x}$$ then the value of (x +y +z) is

If $$ {(\sqrt {3})^{5}× {9}^{2}={3^{n}{×3\sqrt {3}}}}$$ then value of n 

In an alloy, the ratio of copper and zinc is 7 : 6. If 1,450 gm. of zinc mixed with in 14 kg 300gm. of an alloy, then the ratio of copper and zinc will be

Water flows in to a tank 15 m.×10 m. through a rectangular pipe 2 m.×1.5 m. at 20 km./hr. In how much time will the water level in the tank rise by 3m.?

A boat running downstreams covers a distance of 30 kms in 2 hours. While coming back the boat takes 6 hours to cover the same distance. If the speed  of the current is half that of the boat, what is the speed of that boat in kmph?

If $$ 5^{5x+1}=1 $$, then x equals

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Anu invested Rs. 15000 at the rate of interest 10% p.a. for one year. If the compound interest is compounded at every six months, what amount will Anu get at the end of the year?

The ratio of investment of Ram and Shyam is 11: 12 and the ratio of their profits is 2: 3. If Ram invested the money for 8 months, find for how much time Shyam invested his money?

The speed of two trains are in the ratio of 3:4. They are going in opposite directions along parallel tracks. If each takes 3 seconds to cross a telegraph post, find the time taken by the trains to cross each other completely?