For the following questions answer them individually
If $$\frac{2p}{p^2-2p+1}=\frac{1}{4}$$, then the value of $$p+\frac{1}{p}$$ will be
If $$l + m + n = 9$$ and $$l^2 + m^2 + n^2 = 31$$, then the value of lm + mn + nl will be
The centroid of a triangle is the point where
In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is:
In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm2, then AB is
If tanθ + cotθ = 5, then the value of $$tan^2θ + cot^2θ$$ is
When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be
If a shop keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%. If the cost price is Rs. 100, then his marked price is
The average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is
The simple interest on a sum for 5 years is two-fifth of the sum. The rate of interest per annum is
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