SSC CPO 11th Dec 2019 Shift-2

Instructions

For the following questions answer them individually

Question 121

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:

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Question 122

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?

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Question 123

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:

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Question 124

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

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Question 125

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:

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Question 126

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:

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Question 127

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:

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Question 128

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 = ?

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Question 129

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:

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Question 130

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:

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