Cubic Identity MCQ Quiz in मराठी - Objective Question with Answer for Cubic Identity - मोफत PDF डाउनलोड करा
Last updated on May 19, 2025
Latest Cubic Identity MCQ Objective Questions
Cubic Identity Question 1:
जर \(\frac{3(16^3 - 6^3)}{16^2 + 6^2 + Q} = 30\) असेल, तर Q चे मूल्य शोधा.
Answer (Detailed Solution Below)
Cubic Identity Question 1 Detailed Solution
वापरलेले सूत्र:
BODMAS
गणना:
प्रश्नानुसार,
⇒ \(\frac{3(16^3 - 6^3)}{16^2 + 6^2 + Q} = 30\)
⇒ \(\frac{3(4096 - 216)}{256 + 36 + Q} = 30\)
⇒ \(\frac{3(3880)}{292 + Q} = 30\)
\(3(3880)= 30 (292 + Q)\)
⇒ 11640 = 8760 + 30Q
⇒11640 - 8760 = 30Q
⇒ 2880 = 30Q
⇒ Q = 2880/ 30 = 96
∴ Q चे मूल्य 96 आहे.
Cubic Identity Question 2:
सरलीकृत करा:
\(\frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2}\)
Answer (Detailed Solution Below)
Cubic Identity Question 2 Detailed Solution
दिलेले आहे:
आपल्याला हा व्यंजक सरलीकृत करायचा आहे:
\( \frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2} \)
वापरलेले सूत्र:
\( a^3 - b^3 = (a - b)(a^2 + ab + b^2) \)
गणना:
(7.3 - 4.7) ने अंश आणि हर यांना गुणाकार करा
व्यंजक असे होईल:
\( \frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2} \) x \(\frac{(7.3 - 4.7)}{(7.3 - 4.7)}\)
हर असे होईल, \({(7.3)^3 - (4.7)^3}\)
म्हणून,
\( \frac{(7.3)^3 - (4.7)^3}{(7.3)^3 - (4.7)^3} \) x (7.3 - 4.7)
⇒(7.3 - 4.7)
⇒2.6
विकल्प 3 बरोबर उत्तर आहे.
Cubic Identity Question 3:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\) चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Cubic Identity Question 3 Detailed Solution
दिलेल्याप्रमाणे:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)
वापरलेली संकल्पना:
a3 - b3 = (a - b)(a2 + b2 + ab)
गणना:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)
⇒ \(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)\(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)
⇒ \(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)\(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)
⇒ 1.6 - 0.6
⇒ 1
∴ आवश्यक उत्तर 1 आहे.
Top Cubic Identity MCQ Objective Questions
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\) चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Cubic Identity Question 4 Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)
वापरलेली संकल्पना:
a3 - b3 = (a - b)(a2 + b2 + ab)
गणना:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)
⇒ \(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)\(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)
⇒ \(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)\(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)
⇒ 1.6 - 0.6
⇒ 1
∴ आवश्यक उत्तर 1 आहे.
Cubic Identity Question 5:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\) चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Cubic Identity Question 5 Detailed Solution
दिलेल्याप्रमाणे:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)
वापरलेली संकल्पना:
a3 - b3 = (a - b)(a2 + b2 + ab)
गणना:
\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)
⇒ \(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)\(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)
⇒ \(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)\(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)
⇒ 1.6 - 0.6
⇒ 1
∴ आवश्यक उत्तर 1 आहे.
Cubic Identity Question 6:
जर \(\frac{3(16^3 - 6^3)}{16^2 + 6^2 + Q} = 30\) असेल, तर Q चे मूल्य शोधा.
Answer (Detailed Solution Below)
Cubic Identity Question 6 Detailed Solution
वापरलेले सूत्र:
BODMAS
गणना:
प्रश्नानुसार,
⇒ \(\frac{3(16^3 - 6^3)}{16^2 + 6^2 + Q} = 30\)
⇒ \(\frac{3(4096 - 216)}{256 + 36 + Q} = 30\)
⇒ \(\frac{3(3880)}{292 + Q} = 30\)
\(3(3880)= 30 (292 + Q)\)
⇒ 11640 = 8760 + 30Q
⇒11640 - 8760 = 30Q
⇒ 2880 = 30Q
⇒ Q = 2880/ 30 = 96
∴ Q चे मूल्य 96 आहे.
Cubic Identity Question 7:
सरलीकृत करा:
\(\frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2}\)
Answer (Detailed Solution Below)
Cubic Identity Question 7 Detailed Solution
दिलेले आहे:
आपल्याला हा व्यंजक सरलीकृत करायचा आहे:
\( \frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2} \)
वापरलेले सूत्र:
\( a^3 - b^3 = (a - b)(a^2 + ab + b^2) \)
गणना:
(7.3 - 4.7) ने अंश आणि हर यांना गुणाकार करा
व्यंजक असे होईल:
\( \frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2} \) x \(\frac{(7.3 - 4.7)}{(7.3 - 4.7)}\)
हर असे होईल, \({(7.3)^3 - (4.7)^3}\)
म्हणून,
\( \frac{(7.3)^3 - (4.7)^3}{(7.3)^3 - (4.7)^3} \) x (7.3 - 4.7)
⇒(7.3 - 4.7)
⇒2.6
विकल्प 3 बरोबर उत्तर आहे.