SSC CGL Tier-2 11th September 2019 Maths

Instructions

For the following questions answer them individually

Question 61

Raghav spends 80% of his income. If his income increases by 12% and the savings decrease by 10%, then what will be the percentage increase in his expenditure?

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Question 62

The lateral surface area of a cylinder is 352 cm$$^2$$. If its height is 7 cm, then its volume(in cm$$^3$$) is: (Take $$\pi = \frac{22}{7}$$)

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Question 63

What will be the compound interest on a sum of ₹31,250 for 2 years at 12% p.a., if the interest is compounded 8-monthly?

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Question 64

When 7897, 8110 and 8536 are divided by the greatest number x, then the remainder in each case is the same. The sum of the digits of x is:

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Question 65

The ratios of copper to zinc in alloys A and B are 3 : 4 and 5 : 9, respectively. A and B are taken in the ratio 2 : 3 and melted to form a new alloy C. What is the ratio of copper to zine in C?

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Question 66

In $$\triangle$$ABC, D and E are the points on sides AB and BC respectively such that DE $$\parallel$$ AC. If AD : DB = 5 : 3, then what is the ratio of the area of $$\triangle$$BDE to that of the trapezium ACED?

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Question 67

One year ago, the ratio of the age (in years) ofA to that of B was4 : 3. The ratio of their respective ages, 3 years from now,will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?

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Question 68

The sides of a triangle are 11 cm, 60 cm and 61 cm. What is the radius of the circle circumscribing the triangle?

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Question 69

Asum of ₹5,000 is divided into two parts such that the simple interest on the first part for $$4\frac{1}{5}$$ years at $$6\frac{2}{3}\%$$ p.a is double the simple interest on the second part for $$2\frac{3}{4}$$ years at 4% p.a. What is the difference between the two parts?

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Question 70

If $$x=\sqrt{1+\frac{\sqrt{3}}{2}-}\sqrt{1-\frac{\sqrt{3}}{2}}$$, then the value of $$\frac{\sqrt{2}-x}{\sqrt{2}+x}$$ will be closest to:

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