Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number: 1. p x q can be an odd number. 2. q / p can be a prime number. 3. p + q can be a prime number. Which of the above statements are correct?
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
p is a prime number. So, p can be 2, 3, 5, 7, 11, 13, .…. q is a composite number. So, q can be 4, 6, 8, 9, 10, .…. Statement 1: p × q can be an odd number, e.g. (3 × 9 = 27). Thus, statement 1 is correct. Statement 2: q/p can be a prime number, e.g. (4/2 = 2). Thus, statement 2 is correct. Statement 3: p + q can be a prime number, e.g. (3 + 4 = 7). Thus, statement 3 is correct. Thus, all the statements 1, 2 and 3 are correct.
For election to the Lok Sabha, a nomination paper can be filed by
Miscellaneous · Easy
In a month if the seventh day is three days earlier than Saturday,then the nineteenth day of the month will be a
Miscellaneous · Easy
Which among the following events happened earliest ?
Miscellaneous · Easy
An 80-litre solution of alcohol and water has 75% alcohol. How much water (in litres) must be added to bring down the concentration of alcohol to 60%?
Miscellaneous · Easy