2024 Real numbers and Polynomials

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1. Which of the following is not irrational? (a) (2 – √3)2 (b) (√2 + √3)2 (c) (√2 -√3)(√2 + √3) (d)27√7

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2. LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by (a) x (b) y (c) xy (d) x/y

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3. There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students (a) 52 (b) 56 (c) 48 (d) 63

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4. The product of a non-zero rational and an irrational number is (a) always rational (b) rational or irrational (c) always irrational (d) zero

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5. The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is (a) 5 (b) 60 (c) 20 (d) 100

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6. If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is (a) 5 (b) -5 (c) 4 (d) -4

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7. The decimal expansion of 63/(72x175) is: (a) terminating (b) non-terminating (c) non-terminating and repeating (d) None of these

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8. If HCF and LCM of two numbers are 4 and 9696, then the product of two numbers is: (a) 9696 (b) 24242 (c) 38784 (d) 4848

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9. The largest number that will divide 398, 436 and 542 leaving remainders 7,11 and 15 respectively is (a) 17 (b) 11 (c) 34 (d) 45

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