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| Class X Practice Question (J K Online Classes) |
CBSE
Mathematics test (2023-24) Full Marks: 28
Class X Time: 1 hour
Chapter: Real numbers
Section A (2 Marks each)
1. Express these numbers as product of their prime factors:
(i) 429
(ii) 612
(iii) 735
(iv) 5005
2. The LCM of two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find their HCF.
3. Find the largest number which divides 438 and 606, leaving remainder 6 in each case.
4. Find the least number which when divided by 20, 25, 35, and 40 leaves remainders 14, 19, 29 and 34 respectively.
5. Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) 171/800
(ii) 66/180
Section B
6. Express each of the following as a fraction in simplest form: (6)
(i) 2.4444……
(ii) 0.12121212……
(iii) 2.24444……
7. Prove that √7 is an irrational number. (3)
8. Prove that 3/√5 is an irrational number. (3)
9. Prove that (3−4√2)/7 is an irrational number given that √2 is an irrational number. (3)
10. An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest? (3)
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