SSC CHSL 3 July 2019 Shift-3

Instructions

For the following questions answer them individually

Question 51

If a 10-digit number 46789x531y is divisible by 72, then the value of (2x + 5y), for the largest value of x is:

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Question 52

The compound interest on a certain sum for 3 years at 15% p.a., interest compound yearly, is ₹4167. What is the simple interest on the same sum in $$4\frac{4}{5}$$ years at the same rate ?

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Question 53

The value of $$\frac{4 \tan^2 30^\circ + \frac{1}{4} \sin^2 90^\circ +\frac{1}{8} \cot^2 60^\circ + \sin^2 30^\circ \cos^2 45^\circ}{\sin 60^\circ \cos 30^\circ - \cos 60^\circ \sin 30^\circ }$$ is:

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Question 54

If $$x + y + z = 19, x^2 + y^2 + z^2 = 133$$, then the value of $$x^3 + y^3 + z^3 - 3xyz$$ is:

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Question 55

In a class of 80 students, the ratio of the urban to the rural is 5 : 3. Ina test, the average score of the rural students is 40% more than that of the urban students. If the average score of all the students is 69, then what is the average score of the rural students ?

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Question 56

In a circle with centre O, a diameter AB and a chord CD intersect each other at E, AC and AD are joined. If $$\angle$$BOC= $$48^\circ$$ and $$\angle$$AOD = $$100^\circ$$, then what is the measure of $$\angle$$CEB ?

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Question 57

18 men can complete a work in 9 days. After they have worked for 5 days, 6 more men join them. How many days will they take to complete the remaining work ?

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Question 58

A man gets a discount of 30% and then 20% on his food bill of ₹1,250. How much amount doeshe has to pay?

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Question 59

The given Bar Graph presents Income and Expenditure (in crores of Rupees) of a company for the five years, 2014 to 2018.

What is the ratio of total Expenditure to total Income of the company in 2014, 2016 and 2017 ?

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Question 60

In a $$\triangle$$ABC,D and E are two points on sides AB and BC, respectively such that AD : DB = 2: 3 and DE $$\parallel$$ AC. If the area of $$\triangle$$ADE is equal to 18 cm$$^2$$, then what is the area (in cm?) of $$\triangle$$ABC ?

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