SSC CPO 11th Dec 2019 Shift-2

If x and y are real numbers, then the least possible value of $$4(x - 2)^2 + (y - 3)^2 - 2(x - 3)^2$$ is:

The distance between two places A and B is 14 km.A boat travels from A to B downstream and then returns from B to A upstream and takes a total of 3 hours 44 minutes for the entire journey. If the speed of the current is 2 km/h, then what is the speed of the boat, in km/h, in still water?

Two circles of radii 5 cm and 3 cm intersect each other at A and B,and the distance betweentheir centres is 6 cm. The length (in cm) of the common chord AB is:

The value of $$9 \times [((9 - 4) \div \left\{(8 \div 8 of 4) + (4 \div 4 of 2)\right\}]$$ is:

Pipes A and B together can fill an empty tank in $$6\frac{2}{3}$$ minutes. If A takes 3 minutes more than B to fill the tank, then the time(in minutes) in which A alone would fill one-third part of the tank is:

If $$7 \sin^2 \theta + 3 \cos^2 \theta = 4, 0^\circ < \theta < 90^\circ$$, then the value of $$(\tan^2 2 \theta + \cosec^2 2 \theta)$$ is:

Study the bar graph and answer the question.

The ratio of the number of neon lamps having a life of 900 hours or more to the number of lamps having life less than 700 hours is:

The value of $$\dfrac{4.669 \times 4.669 - 9 \times (0.777)^2}{(4.669)^2 + (2.331)^2 + 14(0.667)(2.331)}$$ is (1 - k), where k = ?

A person sold a chair at a profit of 13%. Had he sold it for ₹607.50 more, he would have gained x%. If the cost price of the chair is ₹3750, then the value of x is:

The average weight of the boys in a class is 69.3 kg and that of the girls in the same class is 59.4 kg. If the average weight of all the boys and girls in the class is 63.8 kg, then the percentage of the number of boys in the class is: