SRCC GBO 2013 Question Paper

Instructions

For the following questions answer them individually

SRCC GBO 2013 - Question 131


Let $$a = 2^{129} \times 3^{81} \times 5^{128}, b = 2^{127} \times 3^{81} \times 5^{128}, c = 2^{126} \times 3^{82} \times 5^{128}$$, and $$d = 2^{125} \times 3^{82} \times 5^{129}$$. Then

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SRCC GBO 2013 - Question 132


The positive integer a is a 2-digit number (01, 02 are not 2-digit number) the positive integer b has ‘a’ digit and the positive integer ‘c’ has ‘b’ digits. The smallest possible value for c is

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SRCC GBO 2013 - Question 133


If $$2^{36} - 1 = 68 a$$ 19476735, when all the digits are correct except a, the correct value of a is

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SRCC GBO 2013 - Question 134


The value of

$$\frac{(1.121)^3 - (3.333)^3 + (2.212)^3}{(1.121)(3.333)(2.212)}$$ is

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SRCC GBO 2013 - Question 135


If $$a : b = 3 : 4, b : c = \frac{8}{9}$$ and $$c : d = \frac{2}{3}$$, then the value of $$\sqrt[4]{\frac{ad}{b^2}}$$ is

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SRCC GBO 2013 - Question 136


The value of $$\frac{\sqrt{43 - 12\sqrt{7}} - 2}{16 + 6\sqrt7}$$ is

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SRCC GBO 2013 - Question 137


Let N be the greatest natural number that will divide 13511, 13903 and 14589 leaving same remainder in each case. The sum of digits of N is

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SRCC GBO 2013 - Question 138


The value of
$$\frac{(0.251)^2 - (0.051)^2 - (0.511)^2 - 2(0.051)(0.511)}{(0.251)^2 - (0.051)^2 - 2(0.251)(0.051) - (0.511)^2}$$ is

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SRCC GBO 2013 - Question 139


The cost of making a rectangular table is calculated by adding two variables. The first is proportional to the area of the table and the other to the square of the length of the longer side. In making 2 m x 3 m table it costs ₹ 5,000 and in making a 1.5 m x 4 m table, it cost ₹ 6,400. The cost of making a 2.5 m x 2.5 m table is (nearest to a rupee)

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SRCC GBO 2013 - Question 140


Anu is walking at a constant speed halfway between two paralled train tracks. On each track is a train of the same length. They are approaching Anu from different directions both at the same speed v km/hour. The train going in the same direction as Anu going takes $$t_1$$, second to pass her, while the other takes $$t_2$$, seconds to pass her. Speed of Anu (in km/hour) is

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