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Latest Questions
- The remainder obtained when any prime number greater than 6 is divided by 6 must be (Campus Recruitment, 2007)
- A prime number $N$, in the range 10 to 50, remains unchanged when its digits are reversed. The square of such a number is
- The sum of all the prime numbers from 1 to 20 is
- The sum of the first four primes is
- The prime numbers dividing 143 and leaving a remainder of 3 in each case are
- The number of prime numbers between 0 and 50 is
- Consider the following statements: 1. If $x$ and $y$ are composite numbers, then $x + y$ is always composite. 2. There does not exist a natural number which is neither prime nor composite. Which of the above statements is/are correct?
- The least prime number is
- Directions: For a 5-digit number, without repetition of digits, the following information is available. (i) The first digit is more than 5 times the last digit. (ii) The two-digit number formed by the last two digits is the product of two prime numbers. (iii) The first three digits are all odd. (iv) The number does not contain the digits 3 or 0 and the first digit is also the largest. Which of the following is a factor of the given number?
- Directions: For a 5-digit number, without repetition of digits, the following information is available. (i) The first digit is more than 5 times the last digit. (ii) The two-digit number formed by the last two digits is the product of two prime numbers. (iii) The first three digits are all odd. (iv) The number does not contain the digits 3 or 0 and the first digit is also the largest. The largest digit in the number is
- Directions: For a 5-digit number, without repetition of digits, the following information is available. (i) The first digit is more than 5 times the last digit. (ii) The two-digit number formed by the last two digits is the product of two prime numbers. (iii) The first three digits are all odd. (iv) The number does not contain the digits 3 or 0 and the first digit is also the largest. The last digit of the number is
- Directions: For a 5-digit number, without repetition of digits, the following information is available. (i) The first digit is more than 5 times the last digit. (ii) The two-digit number formed by the last two digits is the product of two prime numbers. (iii) The first three digits are all odd. (iv) The number does not contain the digits 3 or 0 and the first digit is also the largest. The second digit of the number is
- If $13 = \frac{13w}{(1 - w)}$, then $(2w)^2 = x$
- If $a$ and $b$ are positive integers and $\frac{(a - b)}{3.5} = \frac{4}{7}$, then
- In the relation $x > y + z$, $x + y > p$ and $z < p$, which of the following is necessarily true?
- If $X < Z$ and $X < Y$, which of the following is necessarily true? I. $Y < Z$ II. $X^2 < YZ$ III. $ZX < Y + Z$
- If $p > q$ and $r < 0$, then which is true?
- If $n$ is an integer, how many values of $n$ will give an integral value of $\frac{16n^2 + 7n + 6}{n}$?
- Let $n$ be a natural number such that $\frac{1}{2} + \frac{1}{3} + \frac{1}{7} + \frac{1}{n}$ is also a natural number. Which of the following statements is not true?
- If $x$ is a real number, then $x^2 + x + 1$ is
- If $p$ is a positive fraction less than 1, then
- If $0 < x < 1$, which of the following is greatest?
- If $B > A$, then which expression will have the highest value (given that $A$ and $B$ are positive integers)?
- Between two distinct rational numbers $a$ and $b$, there exists another rational number which is
- The difference between the square of any two consecutive integers is equal to
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