For the following questions answer them individually
Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?
A trader sold an article at profit of 20%. Had he bought that article at 60% less price and sold it at Rs 90 less, then he would have gained 50%. What is the value (in Rs) of cost price?
Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit?
Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?
A certain sum of money amounts to Rs 918 in 2 years and Rs 969 in 3.5 years at simple interest. What is the rate of interest (in %)?
If the expression $$px^3 - qx^2 - 7x - 6$$ is completely divisible by $$x^2 - x - 6$$, then what is the value of p and q respectively?
If the expression $$px^3 - 2x^2 - qx + 18$$ is completely divisible by $$(x^2 - 9)$$, then what is the ratio between p and q respectively?
In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?
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