: Navigate these ratio problems with confidence #IndiaNEWS #Education Today Hyderabad: This article is in continuation to the last article focusing on the ratio and proportion topic. Here are some practice

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Navigate these ratio problems with confidence #IndiaNEWS #Education Today
Hyderabad: This article is in continuation to the last article focusing on the ratio and proportion topic. Here are some practice questions along with solutions that will help you in your preparation for the State government recruitment jobs.
1. Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. The smallest number is
a) 3 b) 4 c) 5 d) 6
Ans: c
Solution: Let the numbers be x, 2x and 3x
According to the question,
x3 (2x) 3 (3x) 3 = 4500
=>; x3 83 273 = 4500
=>; 363 = 4500
=>; x3 = 4500/36 = 125
??? x = ?125 = 5
5 is the smallest number
2. The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers?
a) 22 b) 24 c) 26 d) 28
Ans: d
Solution: Let two positive numbers be 3x and 4x.
According to the question,
(3x) 2 (4x) 2 = 400
92 162 = 400
252 = 400
x2 = 400/25 = 16
x2 = 16
=>; x = 4
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