if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :

Six tables and twelve chairs were bought for ₹ 7,800. If the average price of a table is ₹750, then the average price of a chair would be

A takes 2 hours more than B to cover a distance of 40 km. If A doubles his speed, he takes $$1{1\over 2} $$ hours more than B to cover 80 km. To cover a distance of 90 km, how much time will B take travelling at his same speed?

A bicycle, marked at ₹ 2,000 is sold with two successive discount of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is

From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B.

When positive numbers a, b and c are divided by 13, the remainders are 9, 7 and 10, respectively. What will be the remainder when (a+2b+5c) is divided by 13?

Which one of the following costs more?

I. 200 packets of ₹ 250 each

II . 20 dozens of ₹ 250 each

In ∆ABC, ∠C=90⁰, Point P and Q are on the sides AC and BC, respectively, such that  AP:PC=BQ:QC=1:2.Then, $${AQ^2+BP^2}\over AB^2$$  is equal to: