Question

The cost of item A is 8 more than the sum of cost of B and C together. The ratio of cost of item B and C is 3:5 respectively. The cost of B is a multiple of 8 and is less than 90. The sum of cost of A and B together is defined as ₹P, when the cost of item C is between 50 and 100 and the difference between the cost of A and C is defined as ₹Q, when the cost of item C is more than or equal to 100.Which of the following can be true regarding P and Q?I: (P - Q - 4 ) is a square number.II: Sum of P and Q is more than 264.III: (3Q -

Q: Answer-The cost of item A is 8 more than the sum of cost of B and C together. The ratio of cost of item B a...

Let the cost of item B and C be 3x and 5x respectively.Since, the cost of B i.e. 3x is a multiple of 8 and is less than 90.Cost of B 24 or 48 or 72Case IWhen the cost of B 24Cost of item C 2453 40 which is less than 50Case IIWhen the cost of B 48Cost of item C 4853 80 which is between 50 and 100Cost of item A 80 48 8 136P sum of cost of A and B together 136 48 184Case IIIWhen the cost of B 72Cost of item C 7253 120 which is more than 100Cost of item A 72 120 8 200Q difference between the cost of A and C 200 - 120 80I P - Q 184 - 80 - 4 100 is a square number.II Sum of P and Q 184 80 264 is equal to 264.III 3Q - P 380 - 184 56 is a multiple of 14.