What is the Place Value and Face Value of 7 in 78654?
Face Value of any number remains the same irrespective of the place, for 7 it is 7
Place Value = Place Multiplier x Face Value
= 10000 x 7
In which one of the following is the Place Value of 9 highest?
What is the Base of Hexadecimal Number System?
(a) 8 is the Base of Octal Number System
(b) 16 is the Base of Hexadecimal Number System
(c) 2 is the Base of Binary Number System
(d) 10 is the Base of Decimal Number System
Which of the following is a Real Number but not a Rational Number?
(a) −√4 = −2 is a Real Number as well as a Rational Number
(b) −√3 is a Real number and an irrational number
(c) √−4 is an imaginary number
Convert in p/q form
► All the digits written once = 2116
► All the digits without Bar written once = 21
► Number of digits with bar after decimal = 2
► Number of digits without bar after decimal = 0
► Rational form =
√16 will not fall under which of the following categories?
► √16 = 4, which is a natural number, rational number as well as a real number.
(16a + 6) will fall under which of the following categories, a is an Integer
(16a + 6) will always be even, whether the a is odd or even.
If (7a - 3) is odd then 'a' would be, a is an Integer
As it is given, 7a - 3 is odd
⇒ 7a = odd +3 i.e. even (say, x)
∵ a is an integer
⇒ For 7a = x, x should be completely divisble by 7
⇒ a = x/7 i.e. even/odd = even
What is the smallest possible positive Integer?
Which of the following is a prime number?
1837 × 1712 × 1839 will be
We do not need to do the multiplication in this question.
► 1837 is Odd
► 1712 is Even
► 1839 is Odd
Odd x Even x Odd = Even
Only option 1 is Even rest all are Odd.
Largest 3 digit composite number is
► 999 is the Largest composite number, it is divisible by 1, 3, 9, 111, 333, 999.
What is the difference between 517th Whole number and 516th Natural Number?
► 517th Whole number = 516
► 516th Natural Number = 516
Smallest Composite numbers is______.
► Prime and Composite are properties of Natural numbers.
► 0 is not a natural number.
► 1 is neither prime nor composite.
► 2 is a prime number divisible by 1 and 2 only.
► 4 is a composite number divisible by 1,2 and 4. Smallest among all.
How many pairs of consecutive prime numbers are there?
► Only pair of consecutive prime numbers is (2, 3)
Consecutive (difference is 1) ==> only pair possible is (2,3), no other pair possible since 2 is the only even prime, any other 2 consecutive numbers will have an even number, which is not prime.