TS EAMCET · Maths · Probability
A number \(n\) is chosen at random from the natural numbers 2 to 1001 . The probability that \(n\) is a number that leaves remainder 1 when divided by 7 , is
- A \(\frac{73}{500}\)
- B \(\frac{71}{1000}\)
- C \(\frac{143}{1000}\)
- D \(\frac{71}{500}\)
Answer & Solution
Correct Answer
(D) \(\frac{71}{500}\)
Step-by-step Solution
Detailed explanation
Total number of numbers from 2 to \(1001=1000\) Now, the numbers, which leaves remainder 1 when divided by 7 , are \(8,15,22, \ldots, 995\). Let these are \(m\) in counting, then we have…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If is a point on the hyperbola , where is the parameter in its parametric form, thenTS EAMCET 2022 Easy
- By using the non-zero digits, the number of 5 digit numbers that can be formed so that each number has largest digit in its middle place and the digits in the number are different isTS EAMCET 2021 Easy
- \(p, q\) are two prime numbers. For \(n=p q\), if the expansion \(\left(\sqrt[4]{x^{-5}}+2 \sqrt[5]{x^5}\right)^n\) contains non-zero coefficient of \(x^{-n}\) and \(x^0\), then the least value of such \(n\) isTS EAMCET 2020 Easy
- The equation of the plane passing through the line of intersection of planes \(\pi_1=2 x+6 y+4 z-7=0\), \(\pi_2=x-y-2 z-2=03\) and perpendicular to the plane \(x+y+2 z-5=0\) isTS EAMCET 2020 Easy
- There is an error of \(\pm 0.04 \mathrm{~cm}\) in the measurement of the diameter of a sphere. When the radius is \(10 \mathrm{~cm}\), the percentage error in the volume of the sphere isTS EAMCET 2009 Easy
- If a point \((x, y)=(\tan \theta+\sin \theta, \tan \theta-\sin \theta)\), then the locus of \((x, y)\) isTS EAMCET 2002 Medium
More PYQs from TS EAMCET
- A string vibrates in its fundamental mode when a tension \(T_1\) is applied to it. If the length of the string is decreased by \(25 \%\) and the tension applied is changed to \(\mathrm{T}_2\), the fundamental frequency of the string increases by \(100 \%\), then \(\frac{\mathrm{T}_2}{\mathrm{~T}_1}=\) (Linear density of the string is constant)TS EAMCET 2025 Medium
- If probability function of a discrete random variable \(X\) is \(P(X=r)=r / k, r=1,2,3,4,5\), then \(P\left(X=2\right.\) or \(\left.X=\frac{k}{3}\right)\), isTS EAMCET 2020 Medium
- \(X O Z\)-plane divides the join of \((2,3,1)\) and \((6,7,1)\) in the ratio:TS EAMCET 2003 Easy
- By shifting the origin to the point \((2,3)\) and then rotating the coordinate axes through an angle \(\theta\) in the counter clockwise direction, if the equation \(3 x^2+2 x y+3 y^2-18 x-22 y+50=0\) is transformed to \(4 X^2+2 Y^2-1=0\), then the angle \(\theta=\)TS EAMCET 2020 Hard
- In a time ' \(t\) ', the amplitude of vibrations of a damped oscillator becomes half of its initial value, then the mechanical energy of the oscillator decreases byTS EAMCET 2024 Easy
- \(\int_{-2}^4\left|2-x^2\right| d x=\)TS EAMCET 2025 Medium