SSC CGL Tier-2 12th September 2019 Maths

Instructions

For the following questions answer them individually

Question 61

Alloy A contains copper and zine in the ratio of 4 : 3 and alloy B contains copper and zine in the ratio of 5: 2. A and B are taken in the ratio of 5 : 6 and melted to form a new alloy. The percentage of zinc in the new alloy is closest to:

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Question 62

If the price of petrol increases by 19%, and Sunitha intends to spend only an additional 12% on petrol, by what percent should she reduce the quantity of petrol purchased (nearest to an integer)?

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Question 63

The value of $$\sqrt{\frac{\cosec \phi - \cot \phi}{\cosec \phi + \cot \phi}} \div \frac{\sin \phi}{1 + \cos \phi}$$ is equal to:

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Question 64

A, B and C invested their capitals in the ratio of 2 : 3 : 5. The ratio of months for which A, B and C invested is 4 : 2 : 3. If C gets a share ofprofit which is ₹1,47,000 more than that of A, then B’s share of profit is:

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Question 65

In a quadrilateral $$ABCD$$, the bisectors of $$\angle C$$ and $$\angle D$$ meet at $$E$$. If $$\angle CED = 56^\circ$$ and $$\angle A = 49^\circ$$, then the measure of $$\angle B$$ is:

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Question 66

If $$8x^3 - 27y^3 = (Ax + By) (Cx^2 - Dy^2 + 6xy),$$ then $$(A + B + C - D)$$ is equal to:

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Question 67

The number of factors of 3600 is:

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Question 68

The given pie chart shows the quantity wise sales distribution of five products (A, B, C, D and E) of a company in 2016.
Quantity wise sales distribution of five products (A, B, C, D and E)

If 320 units of product A were sold by the company, then how many units of products B and E together were sold by the company?

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Question 69

4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 womencan doit in 10 days. To complete the same work in 7 days, how many women should assist 4 men?

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Question 70

If $$x = (164)^{169} + (333)^{337} - (727)^{726}$$, then what is the units degit of x?

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