SSC CPO 4 July 2017 Afternoon Shift

Instructions

For the following questions answer them individually

Question 31

If $$x + y = 4$$, then what is the value of $$x^{3} +y^{3} +12xy$$?

Video Solution
Question 32

If $$x^{4}+\frac{1}{x^{4}}= 198$$ and $$x>0$$, then what is the value of $$x^{2}-\frac{1}{x^{2}}$$?

Video Solution
Question 33

If $$3x - \frac{1}{3x} = 9$$, then what is the value of $$x^{2} + \frac{x^2}{81}$$?

Video Solution

Question 34

If $$x^{3} - y^{3} = 112$$ and $$x - y = 4$$, then what is the value of $$x^{2} + y^{2}$$?

Video Solution
Question 35

If $$x = 5 - \frac{1}{x} $$, then what is the value of $$x^{5} + \frac{1}{x^{5}}$$?

Video Solution
Question 36

In ΔABC, ∠A : ∠B : ∠C = 3 : 3 : 4. A line parallel to BC is drawn which touches AB and AC at P and Q respectively. What is the value of ∠AQP - ∠APQ?

Video Solution

Question 37

In the given figure, O is the center of the circle, $$\angle$$CAO = 35$$^\circ$$. What is the value (in degrees) of $$\ \angle$$AOB?

Video Solution
Question 38

In the given figure, $$\triangle$$PQR is drawn such that PQ is tangent to a circle whose radius is 10 cm and QR passes through centre of the circle. Point R lies on the circle. If QR = 36 cm, then what is the area (in cm$$^{2}\ $$of $$\ \triangle$$PQR?

Video Solution
Question 39

The side QR of ΔPQR is produced to S. If ∠PRS = 105° and ∠Q = (1/2)∠P, then what is the value of ∠P?

Video Solution

Question 40

The perimeter of an isosceles triangle is 64 cm and each of the equal sides is 5/6 times the base. What is the area (in cm2) of the triangle?

Video Solution
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