What is the coefficient of x² in the polynomial P(x) = 3x³ + 10(x – x²) – 5x² – 2?
Q.3
A man rows with a speed of 8 km/h in still water. Find the downstream, if the speed of the stream is 4 km/h.
Q.4
Walking 4/5 of his usual speed, a man is 16 minutes late. Find the usual time taken by him to cover that distance.
Q.5
The graph below shows the profit earned by three companies over the years (in $10 million ) What was the average profit earned by all three companies in the year 2021?
Q.6
A sum of $7700 is lent out in two parts in such a way that the interest on one part at 20% for 5 years is equal to that on another part at 9% for 6 years. Find the second part of the sum.
Q.7
Rexon and Sam started a business initially with $14200 and $15600, respectively. If total profits at the end of year is $74500, what is Rexon’s share in the profit?
Q.8
ΔABC and ΔDEC are the right triangles with ∠B = ∠E = 90°, find BE.
Q.9
A shopkeeper marks his goods 20% above C.P. but allows a 30% discount for cash. What is his net loss?
Q.10
Either 8 men or 17 women can paint a wall in 33 days. Find the number of days required to paint three such walls by 12 men and 24 women working at the same rate.
