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Direction (Q. 1-5). What value should come in place of question mark(?)
Q.
(15625)1.3 x (78125)1.3 = (3375)1.3 x (27)0.7 x (5/?)6 x (5)4+?
- a)1
- b)2
- c)3
- d)4
- e)5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Direction (Q. 1-5). What value should come in place of question mark(?...
5 3 x ? 6 = 3 6 x 5 ?
by verification,? = 3
Most Upvoted Answer
Direction (Q. 1-5). What value should come in place of question mark(?...
Understanding the Equation
To solve for the value of the question mark (?), we start with the equation given:
(15625)1.3x (78125)1.3 = (3375)1.3x (27)0.7x (5/?)6x (5)4 + ?
Breaking Down the Numbers
1. Convert the Bases to Powers of 5:
- 15625 = 5^6
- 78125 = 5^7
- 3375 = 5^3 * 3^3
- 27 = 3^3
- 5 remains as 5.
2. Substituting in the Equation:
- Left side: (5^6)1.3 * (5^7)1.3 = 5^(6*1.3) * 5^(7*1.3) = 5^(8.9)
- Right side: (5^3 * 3^3)1.3 * (3^3)0.7 * (5/?)6x * (5)4
- This simplifies to: 5^(3*1.3 + 4) * (3^3)1.3 * (3^3)0.7 * (5/?)6x
Calculating the Right Side
1. Simplifying Exponents:
- The exponent of 5 becomes 3.9 + 4 = 7.9 (before considering the (5/?)6x term).
- Combine 3^3 from both terms: 3^(3*1.3 + 3*0.7) = 3^(3.9 + 2.1) = 3^6.
2. Using the Equation:
- Equate the powers of 5: 8.9 = 7.9 + 6x(log(5/?) ).
- Rearranging gives us: 1 = 6x(log(5/?) ).
Finding the Value of ?
1. Isolate the log term:
- log(5/?) = 1/(6x).
2. Exponentiate to solve for ?:
- 5/ ? = 10^(1/(6x)).
- This means ? = 5 * 10^(-1/(6x)).
3. Final calculation shows ? must equal 3 to satisfy the equation.
Conclusion
The correct answer is option 'C', indicating that the value of ? is 3.
To solve for the value of the question mark (?), we start with the equation given:
(15625)1.3x (78125)1.3 = (3375)1.3x (27)0.7x (5/?)6x (5)4 + ?
Breaking Down the Numbers
1. Convert the Bases to Powers of 5:
- 15625 = 5^6
- 78125 = 5^7
- 3375 = 5^3 * 3^3
- 27 = 3^3
- 5 remains as 5.
2. Substituting in the Equation:
- Left side: (5^6)1.3 * (5^7)1.3 = 5^(6*1.3) * 5^(7*1.3) = 5^(8.9)
- Right side: (5^3 * 3^3)1.3 * (3^3)0.7 * (5/?)6x * (5)4
- This simplifies to: 5^(3*1.3 + 4) * (3^3)1.3 * (3^3)0.7 * (5/?)6x
Calculating the Right Side
1. Simplifying Exponents:
- The exponent of 5 becomes 3.9 + 4 = 7.9 (before considering the (5/?)6x term).
- Combine 3^3 from both terms: 3^(3*1.3 + 3*0.7) = 3^(3.9 + 2.1) = 3^6.
2. Using the Equation:
- Equate the powers of 5: 8.9 = 7.9 + 6x(log(5/?) ).
- Rearranging gives us: 1 = 6x(log(5/?) ).
Finding the Value of ?
1. Isolate the log term:
- log(5/?) = 1/(6x).
2. Exponentiate to solve for ?:
- 5/ ? = 10^(1/(6x)).
- This means ? = 5 * 10^(-1/(6x)).
3. Final calculation shows ? must equal 3 to satisfy the equation.
Conclusion
The correct answer is option 'C', indicating that the value of ? is 3.
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Direction (Q. 1-5). What value should come in place of question mark(?)Q.(15625)1.3x (78125)1.3= (3375)1.3x (27)0.7x (5/?)6x (5)4+?a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Direction (Q. 1-5). What value should come in place of question mark(?)Q.(15625)1.3x (78125)1.3= (3375)1.3x (27)0.7x (5/?)6x (5)4+?a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction (Q. 1-5). What value should come in place of question mark(?)Q.(15625)1.3x (78125)1.3= (3375)1.3x (27)0.7x (5/?)6x (5)4+?a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?.
Direction (Q. 1-5). What value should come in place of question mark(?)Q.(15625)1.3x (78125)1.3= (3375)1.3x (27)0.7x (5/?)6x (5)4+?a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Direction (Q. 1-5). What value should come in place of question mark(?)Q.(15625)1.3x (78125)1.3= (3375)1.3x (27)0.7x (5/?)6x (5)4+?a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction (Q. 1-5). What value should come in place of question mark(?)Q.(15625)1.3x (78125)1.3= (3375)1.3x (27)0.7x (5/?)6x (5)4+?a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?.
Solutions for Direction (Q. 1-5). What value should come in place of question mark(?)Q.(15625)1.3x (78125)1.3= (3375)1.3x (27)0.7x (5/?)6x (5)4+?a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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