Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2024MathematicsProbabilityActual

A natural number x is chosen at random from the first 100 natural numbers. What is the probability that x^2+x>50 ?

Options

  1. A93 100
  2. B47 50
  3. C24 25
  4. D23 25

Correct answer

B. 47 50

Step-by-step solution

First 100 natural numbers n ( ~s )=100 Number from 7 to 100 satisfy aligned & x^2+x>50 & n(E)=100-6=94 & P(E)= n(E) n(S) = 94 100 = 47 50 aligned

Practice Probability on Quantrex Academy →

More from Probability

Passage: Four dice are rolled. Question: What is the probability that getting a total of the numbers on the dice is 6 ? 2026Three events A , B and C are such that A and B are disjoint, A and C are independent, B and C are independent. If 4P(A)=2P(B)=P(C) and P(A B C)=5P(A) , then what is the value of P( 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and P(A) 2 = P(B) 3 = P(C) 5 = P(D) 8 . Question: What is [2P(A)+3P(B)] [4P(C)+5P(D)] equal to ? 2026Passage: Four dice are rolled. Question: What is the probability that getting a total of the numbers on the dice is at least 23 ? 2026For a Binomial distribution with mean 6 and standard deviation 2 , what is the value of P(X=0) ? 2026Passage: A 4-digit number is selected at random formed by using the digits 0 , 1 , 2 , 3 and 4 (where repetition of digits is not allowed). Question: What is the probability that t 2026In an entrance test there are multiple choice questions. There are four options for each question, of which only one is correct. The probability that a student knows the answer to 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and P(A) 2 = P(B) 3 = P(C) 5 = P(D) 8 . Question: If G is the geometric mean of P(A) , P(B) , P(C) and P(D) 2026 Full Probability list All NDA PYQs