SSC CGL Tier-2 11th September 2019 Maths

Instructions

For the following questions answer them individually

Question 1

The value of $$\frac{7 + 8 \times 8 \div 8  of  8 + 8 \div 8 \times 4  of  4}{4 \div 4  of  4 + 4 \times 4 \div 4 - 4 \div 4  of  2}$$ is:

Question 2

The bar graph shows the exports of Cars of Type A and B (in ₹ millions).

In which year, the exports of cars of type A was 25% more than the average exports (per year) of cars of type A over the five years?

Question 3

If $$\sin \theta = \sqrt{3} \cos \theta, 0^\circ < \theta < 90^\circ$$, then the value of $$2 \sin^2 \theta + \sec^2 \theta + \sin \theta \sec \theta + \cosec \theta$$ is:


Question 4

To do a certain work, the ratio of efficiency of A to that of B is 3 : 7. Working together, they can complete the work in $$10\frac{1}{2}$$ days. They work together for 8 days. 60% of the remaining work will be completed by A alone in

Question 5

The average of thirteen numbers is 47. The average of the tirst three numbers is 39 and that of next seven numbers is 49. The $$11^{th}$$ number is two times the $$12^{th}$$ number and $$12^{th}$$ number is 3 less then the $$13^{th}$$ number. What is the average of $$11^{th}$$ and $$13^{th}$$ numbers?

Question 6

The bar graph shows the exports of Cars of Type A and B (in ₹ millions).

What is the ratio of the total exports of cars of type A in 2014 and 2018 to the total exports of cars of type B in 2015 and 2016?


Question 7

If $$x^8 - 1442 x^4 + 1 = 0$$, then possible value of $$x - \frac{1}{x}$$ is:

Question 8

The graphs of the equations $$3x + y - 5 = 0$$ and $$2x - y - 5 = 0$$ intersect at the point $$P(\alpha, \beta)$$. What is the value of $$(3\alpha + \beta)$$?

Question 9

If $$\sqrt{86 - 60\sqrt{2}} = a - b\sqrt{2}$$, then what will be the value of $$\sqrt{a^2 + b^2}$$, correct to one decimal place?


Question 10

The sides AB and AC of $$\triangle$$ABC are produced to P and Q respectively. The bisectors af $$\angle$$CBP and $$\angle$$BCQ meet at R. If the measure of $$\angle$$A is $$44^\circ$$, then what is the measure of, $$\frac{1}{2} \angle$$BOC ?

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