If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P2 + 1/Q2?
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The ratio of incomes of P and Q is 5 : 3. Ratio of income of Q and R is 5 : 2. If one-fourth of P’s income is Rs 500 more than the R’s income, then what is the income (in Rs) of Q?
If a--b = 4 and ab = 45, find the value of a3 - b3
(a – b)2 = a2 + b2 -2ab ⇒ 16 = a2 + b2 – 90 ⇒ a2 + b2 = 106 a3 – b3 = (a – b) (a2 + b2 + ab) ⇒ a3 – b3 = 4 X (106 + 45) ⇒ a3 – b3 = 4 X 151 ⇒ a3 – b3 = 604
Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?
A bus travels 720 km in 20 hours. Calculate its average speed in meters/second.
A shopkeeper by selling 22 Skechers shoes, earns a profit equal to the selling price of 6 Skechers shoes. His profit percentage is:
A canal of a village can be cleaned by 24 villagers in 12 days. The number of days in which 36 villagers can clean the canal is ?
Average age of 4 daughters of a family is 12 years. The average age of daughters and their parents is 26 years. If the mother is 4 years older than the father, then what is the age (in years) of the father?
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