Question
Mixture X comprises juice and water in a 5:4 ratio, and
mixture Y consists of juice and water in a 7:9 ratio. When mixture X is combined with mixture Y, the total quantity of the resulting mixture becomes ___ ml, and the quantity of water in mixture Y is ____ ml more than in mixture X. The ratio of the quantities of juice in mixture X to Y is ___. Determine which values, given in the following options, can fill the blanks in the correct order to make the statement true. I.) 590, 60, 15:14 II.) 756, 99, 20:21 III.) 1080, 100, 10:9 IV.) 1608, 252, 9:7Solution
ATQ, For statement I: Let quantity of juice and water in mixture X is '5x' ml and 4x ml respectively. Quantity of juice and water in mixture Y is '7y' ml and 9y ml respectively. So, 9x + 16y = 590..........................(1) And, 9y – 4x = 60.........................(2) Solving equation (1) and (2), we get x = 30 and y = 20 So, desired ratio = 150:140 = 15:14 So, statement I is true For statement II: Let quantity of juice and water in mixture X is '5x' ml and 4x ml respectively. Quantity of juice and water in mixture Y is '7y' ml and 9y ml respectively. So, 9x + 16y = 756..........................(1) And, 9y – 4x = 99.........................(2) Solving equation (1) and (2), we get x = 36 and y = 27 So, desired ratio = 180:189 = 20:21 So, statement II is true For statement III: Let quantity of juice and water in mixture X is '5x' ml and 4x ml respectively. Quantity of juice and water in mixture Y is '7y' ml and 9y ml respectively. So, 9x + 16y = 1080..........................(1) And, 9y – 4x = 100.........................(2) Solving equation (1) and (2), we get x = 56 and y = 36 So, desired ratio = 280:252 = 10:9 So, statement III is true. For statement IV: Let quantity of juice and water in mixture X is '5x' ml and 4x ml respectively. Quantity of juice and water in mixture Y is '7y' ml and 9y ml respectively. So, 9x + 16y = 1608..........................(1) And, 9y – 4x = 252.........................(2) Solving equation (1) and (2), we get x = 72 and y = 60 So, desired ratio = 360:420 = 6:7 So, statement IV is not true
Consider the following about the Green growth:
I. Setting up 10,000 bio- inputs resource centres-to facilitate farmers to adopt natural farming...
Which of the following fintech firm became the first online bond platform provider to receive a debt brokerage license from SEBI?
The Union Budget 2024-25 introduced changes to capital gains taxation. What is the revised annual exemption limit for capital gains, aimed at benefitin...
Which of the following gives the Fisher equation of money?
What was the increase in India’s net Foreign Portfolio Investment (FPI) flows in FY24, the highest since FY15 as per the economic survey 2023-24?
The Economic Survey 2023 projects a baseline GDP growth of ________ in real terms in FY24.
In India, the Basel III framework is implemented by:
Who is designated as the Chairperson of the Board for Regulation and Supervision of Payment and Settlement Systems according to the IFSCA Regulations 2024?
What percentage increase in ratings was recorded for financial centers in the Asia/Pacific region in GFCI 35?
The Annual Financial Statement distinguishes the expenditure on which of the following account from the expenditure on other accounts, as is mandated in...