Page 51 - Maths Skill - 6

Prime Time 49

5. The smallest prime number greater than 100 is 2. Which of the following is divisible by 9?
(i) 123 (ii) 147 (iii) 101 (iv) 113 11306, 11304, 11106, 11124, 11126

3. Which of the following is divisible by 6?
B. Fill in the Blanks
1. A natural number greater than 1, which has 7526, 7524, 5026, 5024
no factor other than 1 and itself is called a 4. Is 1382458 divisible by 11?
________________ number.
E. Assertion-Reason Based Questions
2. Write all prime numbers between 20 and 30.
________________ Directions for Questions 1 to 3: In each of the
3. Smallest odd composite number is ___________. questions given below, there are two statements
marked as Assertion (A) and Reason (R). Mark your
4. The sum of three odd numbers is _____________. answer as per the codes provided below:

C. Write ‘T’ for true and ‘F’ for false statements (a) Both A and R are true and R is the correct
explanation of A.
1. 21 is a prime number. (b) Both A and R are true but R is not the correct
2. 59348 is divisible by 8. explanation of A.
(c) A is true but R is false.
3. 3, 5, 7 is a prime triplet.
(d) A is false but R is true.
4. 37 is divisible by 3.
Q. 1. Assertion (A) : The LCM of 24 and 36 is 12
5. 49 is a prime number.
Reason (R) : The LCM of two or more numbers
is the lowest of their common multiples.
D. Case Study Based Questions
Q. 2. Assertion (A) : 41 and 43 are twin primes.
Let’s learn through example, suppose you are in
the cafe with your three friends and you all take Reason (R) : 41 and 43 both are prime numbers.
the dinner over there and after this, bills comes to Q. 3. Assertion (A) : 59936 is divisible by 8.
` 5120. How would you go about splitting the bill? Reason (R) : A number is divisible by 8 if
All the friends would only be able to pay in whole the number formed by the last
numbers and not in fractions. In order to make three digits is divisible by 8.
this decision, it would be helpful to quickly know
that we are total 4-friends and 5120 is divisible
by 4 because last two digits ‘20’ is divisible by SUBJECTIVE TYPE QUESTIONS

5120 F. Solve the following word problems
4 i.e. 4 =1280 . 1. It is given that 65610 is divisible by 27. Which

Answer the following questions on the basis of the two numbers nearest to 65610 are each divisible
above data. by 27?
1. Which of the following is divisible by 8? 2. Find the smallest digit by which ‘*’ is to be
9873, 9874, 9872, 9887, 9867 replaced so that 75*850 is divisble by 9.

HOTS

1. Find the least number which on dividing by 15, 20 and 40 leaves the remainder 9.
5
2. Write all the factors of 4 ?
3. Find whether the product of three consecutive numbers is divisible by 6 or not. Give reasons.