Question

8. The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, fi nd the other.
9. The HCF of two numbers is 18 and their product is 12960. Find their LCM.
10.Find the largest number which divides 438 and 606, leaving remainder 6 in each case.
11. Find the largest number which divides 320 and 457, leaving remainders 5 and 7 respectively.
12. Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.
13. Find the smallest number which when divided by 28 and 32 leaves remainders 8 and 12 respectively.
14. Find the smallest number which when increased by 17 is exactly
divisible by both 468 and 520.
15. Find the greatest number of four digits which is exactly divisible by 15, 24 and 36.
16. Find the largest four-digits number which when divided by 4, 7 and 13 leaves a remainder of 3 in each case.
17 The traffic lights at three different road crossings change after every
48 seconds, 72 seconds and 108 seconds respectively. If they all change simultaneously at 8 a.m. then at what time will they again change simultaneously?
18. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8,
10, 12 minutes respectively. In 30 hours, how many times do they toll together?

Number Systems
1. Define (i) rational numbers (ii) irrational numbers (iii) real numbers.
2. Classify the following numbers as rational or irrational:

3. Prove that (2 -1) is an irrational number.
4. Prove that (4 - 5 ) is an irrational number.
5. Prove that (5 - 2 ) is an irrational number.
6. Prove that 5 is irrational.
7.State fundamental theorem of arithmetic.
8. Express 360 as product of its prime factors.
9. If a and b are two prime numbers then fi nd HCF(a, b).
10. If a and b are two prime numbers then fi nd LCM(a, b).
11. If the product of two numbers is 1050 and their HCF is 25, fi nd their LCM.
12. What is a composite number?
Chapter – 2
Find the zeros of the following quadratic polynomials and verify the relationship
between the zeros and the coeffi cients:


13. Find the quadratic polynomial whose zeros are 2 and –6. Verify the relation between the coefficients and the zeros of the polynomial.
14. Find the quadratic polynomial whose zeros are 2/3 and -1/4. verify the relation between the coefficients and the zeros of the polynomial.
15. Find the quadratic polynomial, sum of whose zeros is 8 and their product is 12. Hence, find the zeros of the polynomial.
16. Find the quadratic polynomial, the sum of whose zeros is 0 and their product is –1. Hence, find the zeros of the polynomial.​

Answer 1

Answer:

8)725×H.C.F×L.C.M

=145×2175/725

=31537/725

=435

9)12960=18 L.C.M

L.C.M =720

I DON'T THE ONTHER SUM

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