SSC CGL 2013 Tier 1 21 April First Sitting

Instructions

For the following questions answer them individually

Question 131

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and distance between them is 17 cm, then the radius of the circle is :

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Question 132

The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, the average of the remaining numbers is :

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Question 133

If $$\frac{x}{x^2-2x+1}=\frac{1}{3}$$ then the value of $$x^{3}+\frac{1}{x^3}$$ is :

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Question 134

The marked price of a mixie is 1600, The shopkeeper gives successive discounts of Question 10% and x% to the customer. If the customer pays 1224 for the mixie, find the value of x

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Question 135

‘Given A is 50% larger than C and B is 25% larger than C, then A is what percent larger than B?

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Question 136

A chord AB of a circle C1 of radius (√3 + 1) cm touches a circle C which is concentric to C . If the radius of C is (√3 -1) cm., the length of AB is :

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Question 137

If $$(x+\frac{1}{x})=4$$ then the value of $$x^{4}+\frac{1}{x^4}$$ is

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Question 138

The perimeter of the base of a right circular cone is 8 cm. If the height of the cone is 21 cm, then its volume is:

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Question 139

A circular road runs around a circular ground. If the difference between the circumferences of the outer circle and the inner circle is 66 metres, the width of the road is:

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Question 140

If sec θ + tan θ = 2 + √5, then the value of sin θ + cos θ is :

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