Substituting x=3α, y=2β: from the first equation, 2α+5β=38; from the second, 20α−9β=144. Solving simultaneously gives α=9, β=4.
So α+β=13.
Linear equations 3x + 5y = 19 and 10x - 3y = 24 have solution x = α 3 and y = β 2, then the value of α + β is:
CUET UG 2023 — General Test Quantitative Reasoning
2023mcqmedium
Linear equations 3x+5y=19 and 10x−3y=24 have solution x=3α and y=2β, then the value of α+β is:
Official previous-year question
Held on 1 Jun 2023 · Verified 13 Jul 2026.
Options
- A
5
- B
13
- C
10
- D
7
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
CUET UG Quantitative Reasoning in other years
More CUET UG Quantitative Reasoning questions
In how many different ways can the word "DAUGHTER" be arranged so that the vowels always come together?
2025medium
Which one of the following is/are correct? (A) Every irrational number is a real number. (B) Every real number is an irrational number. (C) The sum or difference of a rational number and an irrational number is an irrational number. (D) The product or quotient of a non-zero rational number with an irrational number is an irrational number. Choose the correct answer from the options given below:
2025medium
Arnav rolls two dice simultaneously. What is the probability of Arnav getting two numbers whose sum is a prime number?
2025medium
Five digit numbers formed by using digits 0, 1, 2, 3 and 4 (when repitition of digits are not allowed) are:
2025medium
Consider the Arithmetic Progression: 3,8,13,18..... . What is the 18th term of the given Arithmetic Progression. Choose the correct answer from the options given below:
2025easy
Other General Test topics for CUET UG
Keep practicing Quantitative Reasoning
Work through every CUET UG Quantitative Reasoning PYQ, year by year.