March 2024

(Q) The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers. Ans:  Let the smaller number be x and larger number be y. By 1st condition, …. (i) By 2nd condition, … (ii) By substituting values of in equation (i), […]

(Q) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find the Rohan’s present age.  Ans:  Let’s Rohan’s age be km /h Hence, his mother’s age is 3 years later, Rohan’s age will be: and his mother’s age

(Q) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km / h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train. Ans:  Let’s the speed of the train be km /h

(Q) A cottage industry produces a certain number of pottery articles in a day. it was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs. 90,

(Q) The altitude of a right angle triangle is 7 cm less than its base, If the hypotenuse is 13 cm, find the other two sides. Ans:  Let’s the height of the triangle be By given condition, it is 7 cm less than it base, or we can say that, its base is 7 cm

(Q) Find the two consecutive positive integers, sum of whose squares is 365. Ans:  Let’s the 1st number be Next number has to be consecutive and hence next number will be It is given that sum of the squares of these two number is 365 Here, we reject x = – 14 because it is