Question

UUD
5. Explain whether 3x36x101 +4 is a prime number or a composite number.
2
6. Find the smallest natural number by which 700 should be multiplied so that the square
root of the product is a rational number.
2
7. Check whether (18)" can end with digit zero for any natural number n.
2
8. Can two numbers have 16 as their HCF and 204 as their LCM? Give reasons.
2
9. The HCF of two numbers is 145 and their LCM is 2175. If one number is 725 find the
other.
2
10. Prove that v5 is an irrational number and hence show that 2-V5 is also an irrational
number.
3
11. A salesman goes to New York every 15 days for one day and another every 24 days,
also for one day. Today, both are in New York. After how many days both salesmen will
be again in New York on same day?
3
Instructions. After completing the test (6.00PM -7.00PM) student
should send photo/image to their answer scripts within 5 min. to the
imber which is
ntioned belo​

Answer 1

False, since the square of a number with one decimal will have two decimal places. Thus square of 0.3 is 0.09.

(ii) False, since square root of a natural numbers is not a rational numbers.

(iii) False, since the square of any negative number will be a positive number.

(iv) True. If p and q are perfect squares, then

q

p

is a rational number.

(v) True. The square root of a prime number may be obtained approximately, but never exactly.