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Home›MPPSC Prelims›Paper 2: General Aptitude Test (CSAT)›General Aptitude›Logical Reasoning and Analytical Ability›Deductive & Inductive Reasoning, Syllogisms, Series, Coding-Decoding›If 6 \times 4 = 12, 7 \times 5 = 20, 5 \times 8 = 21, then 5 \times 7

If 6 ×\times× 4 = 12, 7 ×\times× 5 = 20, 5 ×\times× 8 = 21, then 5 ×\times× 7 = ?

20172Mprelimsyear-2017p2
A.(A) 20
B.(B) 18Correct
C.(C) 24
D.(D) 35
Explanation & Solution

Correct Answer: (B) 18

The pattern follows the rule (a−2)×(b−1)(a - 2) ×\times× (b - 1)(a−2)×(b−1): for 6×46 ×\times× 46×4, (6−2)×(4−1)=4×3=12(6 - 2) ×\times× (4 - 1) = 4 ×\times× 3 = 12(6−2)×(4−1)=4×3=12; for 7×57 ×\times× 57×5, (7−2)×(5−1)=5×4=20(7 - 2) ×\times× (5 - 1) = 5 ×\times× 4 = 20(7−2)×(5−1)=5×4=20; for 5×85 ×\times× 85×8, (5−2)×(8−1)=3×7=21(5 - 2) ×\times× (8 - 1) = 3 ×\times× 7 = 21(5−2)×(8−1)=3×7=21. Applying this rule to 5×75 ×\times× 75×7, we get (5−2)×(7−1)=3×6=18(5 - 2) ×\times× (7 - 1) = 3 ×\times× 6 = 18(5−2)×(7−1)=3×6=18.

हिंदी में प्रश्न एवं आदर्श उत्तर

यदि 6 ×\times× 4 = 12, 7 ×\times× 5 = 20, 5 ×\times× 8 = 21, तब 5 ×\times× 7 = ?

A.(A) 20
B.(B) 18सही
C.(C) 24
D.(D) 35

सही उत्तर: (B) 18

यह श्रृंखला (a−2)×(b−1)(a - 2) ×\times× (b - 1)(a−2)×(b−1) के नियम का पालन करती है: 6×46 ×\times× 46×4 के लिए (6−2)×(4−1)=4×3=12(6 - 2) ×\times× (4 - 1) = 4 ×\times× 3 = 12(6−2)×(4−1)=4×3=12; 7×57 ×\times× 57×5 के लिए (7−2)×(5−1)=5×4=20(7 - 2) ×\times× (5 - 1) = 5 ×\times× 4 = 20(7−2)×(5−1)=5×4=20; 5×85 ×\times× 85×8 के लिए (5−2)×(8−1)=3×7=21(5 - 2) ×\times× (8 - 1) = 3 ×\times× 7 = 21(5−2)×(8−1)=3×7=21। अतः 5×75 ×\times× 75×7 के लिए मान (5−2)×(7−1)=3×6=18(5 - 2) ×\times× (7 - 1) = 3 ×\times× 6 = 18(5−2)×(7−1)=3×6=18 होगा।

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