/20 1234567891011121314151617181920 Test Code: MC1L3 1 / 20 1. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively.What is the minimum distance each should walk, so that each can cover the same distance in complete steps? A) 505 B) 210 C) 2520 D) 650 📝 Solution: 2 / 20 2. The product of two consecutive positive integers is divisible by 2′. Is this statement true or false? A) False B) None of these C) 🤐 D) True 📝 Solution: yes, two consecutive integers can be n, (n +1). So, one number of these two must be divisible by 2. Hence, product of numbers is divisible by 2. 3 / 20 3. is √3 + √5 irrational. A) Natural number B) None of these C) No D) Yes 4 / 20 4. n² – 1 is divisible by 8, if n is: A) an integer B) A natural number C) An odd integer D) An even integer 📝 Solution: 5 / 20 5. The largest number which divides 70 and 125, leaving remainders respectively, is A) 65 B) 1750 C) 13 D) 875 📝 Solution: 6 / 20 6. The decimal expansion of the rational number 14587/1250 will terminate after: A) Four decimal places B) Three decimal places C) Two decimal places D) one decimal place 📝 Solution: 7 / 20 7. For some integer q, every odd integer is of the form A) Q B) 2g C) 2q +1 D) q +1 📝 Solution: 8 / 20 8. If two positive integers a and b are written as a = x3y2 and b = xy3, wfiere x, y are prime numbers, then HCF (a, b) is A) x³y³ B) xy C) xy² D) a³b³ 📝 Solution: 9 / 20 9. A number when divided by 61 gives 27 as quotient and 32 as remainder, then the number is: A) 1789 B) 1456 C) 1679 D) None of these 📝 Solution: Dividend = Divisor××Quotient + Remainder => Number (dividend) = D x Q+R Therefore the number (Dividend) = 61××27+32 = 1647+32 = 1679 10 / 20 10. Can two numbers have 18 as their HCF and 380 as their LCM? A) Yes B) No C) Don't know D) I think 🤔 📝 Solution: No, because HCF is always a factor of LCM but here 18 is not a factor of 380. 11 / 20 11. is √p + √q irrational, where p and q are primes. A) None of these B) No C) Don't know D) Yes 12 / 20 12. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) A) 2520 B) 10 C) 504 D) 100 📝 Solution: 13 / 20 13. Write the decimal expansion of 257/5000 rational number in the form 2m x ,where m, n are non- negative integers. without actual division A) 0.0480 B) 0.0425 C) 0.0514 D) None of these 📝 Solution: 14 / 20 14. If you walk 50 step in 5 minutes then how much step you want in 15 minites: A) 250 B) 150 C) 140 D) 200 15 / 20 15. The product of a non-zero rational and an irrational number is A) rational or irrational B) always irrational C) one D) always rational 📝 Solution: 16 / 20 16. For some integer m, every even integer is of the form A) m B) 2m +1 C) 2m D) m +1 📝 Solution: (c) We know that, even integers are 2, 4, 6,… So, it can be written in the form of 2m. 17 / 20 17. If two positive integers p and q can be expressed’ as p=ab2 and q = a3b; where 0, b being prime numbers, then LCM (p, q) is equal to A) a³b² B) a²b² C) a³b³ D) ab 📝 Solution: 18 / 20 18. The product of three consecutive positive integers is divisible by 6′ Is this statement true or false? A) I don't know B) True C) None of these D) False 📝 Solution: yes, three consecutive integers can be n, (n + 1)and (n + 2). So, one number of these three must be divisible by 2 and another one must be divisible by 3. Hence, product of numbers is divisible by 6. 19 / 20 19. If the HCF of 65 and 117 is expressible in the form 65m -117, then the value of m is A) 3 B) 1 C) 4 D) 2 📝 Solution: 20 / 20 20. Do you read the Real Numbers chapter? A) Exersise some Questions B) Not Read C) No D) Yes Your score isShare Your Score with Friends Facebook Twitter 0% Send feedback
