SSC CHSL Quantitative Aptitude Test 30

Instructions

For the following questions answer them individually

Q 1

In a class, there are 54 students. 33 $$\frac{1}{3}$$ % of the number of students are boys and rest are girls. The average score inĀ mathematics of boys is 50% more than that of the girls. If the average score of all the students is 70, then what is the average score of the boys?

Q 2

If $$x^2 -\sqrt{7}x +1 =0$$, then $$(x^3 + x^{-3}) = ?$$

Q 3

In finding the HCF of two numbersby division method, the quotients are 1, 8 and 2 respectively, and the last divisor is 105. What is the sum of the numbers?

Q 4

Aclock tower stands at the crossing of two roads whichpoint in the north-south and the east-westdirections. P, Q, R and S are points on the roads due north, east, south and west respectively, where the angles of elevation of the top of the tower are respectively, $$\alpha, \beta, \gamma$$ and $$\delta$$, Then $$\left(\frac{PQ}{RS}\right)^2$$ is equal to:

Q 5

ABCD is a cyclic quadrilateral. The tangents to the circle at the points A and C on it, intersect at P. If $$\angle ABC = 98^\circ$$, then what is the measure of $$\angle APC$$?

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