SSC CGL 7 June 2019 Shift-2

Instructions

For the following questions answer them individually

Question 51

A sum of ₹x was borrowed and paid back in two equal yearly instalments, each of ₹35,280. If the rate of interest was 5%, compounded annually, then the value of x is:

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Question 52

In $$\triangle$$ABC, $$\angle$$A is a right angle. The lengths of AC and BC are 6 cm and 10 cm respectively. Point D is on AB such that BD = 4 cm. What is the length of CD?

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Question 53

ABCD is a quadrilateral whose side AB is the diameter of a circle through A, B, C and D. If $$\angle$$ADC = $$130^\circ$$, then the measure of $$\angle$$BAC is:

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Question 54

In $$\triangle$$ABC, AD bisects $$\angle$$A which meets BC at D. If BC = a, AC = b and AB = c, then DC = _______.

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Question 55

If $$9a^2 + 4b^2 + c^2 + 21 = 4(3a + b - 2c)$$, then the value of (9a + 4b - c) is:

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Question 56

If $$\sin \theta = \frac{a}{\sqrt{a^2 + b^2}}, 0^\circ < \theta < 90^\circ$$, then the value of $$\sec \theta + \tan \theta$$

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Question 57

The table shows the production of different types of cars (in thousands).


What is the ratio of the total production of type B cars in 2011 and type E cars in 2013 taken together to the total production of type C cars in 2014 and type D cars in 2012 taken together?

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Question 58

A is 20% less than B while C is 20% more than D. If D is 25% less than A, then which of the following is true?

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Question 59

A person can row a distance of 4 km upstream in one hour 20 minutes and can row back to the starting point in just 24 minutes. How much time(in hours) will he take to row 13 km in still water?

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Question 60

A person sold 25 articles for ₹2,500 and incurred a loss of 10%. How many articles should he sell for ₹2,400 to make a profit of 20%?

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