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Home›MPPSC Prelims›Paper 2: General Aptitude Test (CSAT)›General Aptitude›Basic Numeracy and Data Interpretation›Basic Numeracy: Numbers and their Relations, Order of Magnitude (Class X level)›If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to

20212Mprelimsyear-2021p2
A.(A) 22Correct
B.(B) 23
C.(C) 24
D.(D) 25
Explanation & Solution

Correct Answer: (A) 22

Given the binary operation a∗b=2a−3b+aba * b = 2a - 3b + aba∗b=2a−3b+ab: evaluating 3∗5=2(3)−3(5)+3(5)=6−15+15=63 * 5 = 2(3) - 3(5) + 3(5) = 6 - 15 + 15 = 63∗5=2(3)−3(5)+3(5)=6−15+15=6, and evaluating 5∗3=2(5)−3(3)+5(3)=10−9+15=165 * 3 = 2(5) - 3(3) + 5(3) = 10 - 9 + 15 = 165∗3=2(5)−3(3)+5(3)=10−9+15=16. Summing both values gives 6+16=226 + 16 = 226+16=22.

हिंदी में प्रश्न एवं आदर्श उत्तर

यदि a * b = 2a - 3b + ab, तो 3 * 5 + 5 * 3 =

A.(A) 22सही
B.(B) 23
C.(C) 24
D.(D) 25

सही उत्तर: (A) 22

दिए गए संक्रिया नियम a∗b=2a−3b+aba * b = 2a - 3b + aba∗b=2a−3b+ab के अनुसार: 3∗5=2(3)−3(5)+3(5)=6−15+15=63 * 5 = 2(3) - 3(5) + 3(5) = 6 - 15 + 15 = 63∗5=2(3)−3(5)+3(5)=6−15+15=6, तथा 5∗3=2(5)−3(3)+5(3)=10−9+15=165 * 3 = 2(5) - 3(3) + 5(3) = 10 - 9 + 15 = 165∗3=2(5)−3(3)+5(3)=10−9+15=16 प्राप्त होता है। दोनों का योग 6+16=226 + 16 = 226+16=22 है।

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