AL NOOR INTERNATIONAL SCHOOL
CBSE SECTION (2023-2024)
Revision Boosters Grade -X
SUBJECT: Mathematics
TOPIC: Real Numbers
1. Express 10010 and 140 as prime factors
2. If the HCF of two numbers 68 and 85 is 17 what is the LCM of two numbers
3. The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If
one number is 280, then find the other number.
4. Find the LCM and HCF of 1296 and 5040 by prime factorization method
5. HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is 27,
find the other number.
6. Find the LCM and HCF of 120 and 144 by using fundamental theorem of arithmetic.
7. The HCF of 45 and 105 is 45. Write their LCM.
8. If HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is
27, find the other number.
9. If HCF (336, 54) = 6, then find LCM (336, 54).
10. Two tankers contain 850 litres and 680 litres of petrol. Find the maximum capacity of a container
which can measure the petrol of each tanker in exact number of times
11. Show that 3 + 2 √3 is irrational, given that √3 is irrational.
12. Show that 15 + 17 √5 is irrational, given that √5 is irrational.
13. Show that
5−2 √3
7
is irrational, given that √3 is irrational.
14. Show that √5 + √3 is irrational, given that √5 and √3 is irrational.
15. Show that
3+ √7
5
is irrational, given that √7 is irrational.
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