23. If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is
(a) xy²
(b) x4y²z
(c) x4y
3
(d) x4y
3z
24. The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is
(a) 260
(b) 75
(c) 65
(d) 13
25. 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
26. The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is
(a) 840
(b) 2520
(c) 8
(d) 420
27. The decimal expansion of the rational number [latex]\frac{14587}{250}[/latex] will terminate after:
(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) four decimal places
28. The decimal expansion of the rational number [latex]\frac{97}{2 \times 5^{4}}[/latex] will terminate after:
(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) four decimal places
29. The product of two consecutive natural numbers is always:
(a) prime number
(b) even number
(c) odd number
(d) even or odd
30. 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
31. The number in the form of 4p + 3, where p is a whole number, will always be
(a) even
(b) odd
(c) even or odd
(d) multiple of 3
32. When a number is divided by 7, its remainder is always:
(a) greater than 7
(b) at least 7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a rational number
(b) an irrational number
(c) a natural number
(d) an integer
Answers
Answer:
greater than 7
(b) at least 7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a rational number
(b) an irrational number
(c) a natural number
(d) an7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) agreater than 7
(b) at least 7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a rational number
(b) an irrational number
(c) a natural number
(d) an7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) agreater than 7
(b) at least 7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a rational number
(b) an irrational number
(c) a natural number
(d) an7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) agreater than 7
(b) at least 7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a rational number
(b) an irrational number
(c) a natural number
(d) an7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) agreater than 7
(b) at least 7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a rational number
(b) an irrational number
(c) a natural number
(d) an7
(c) less than 7
(d) at most 7
33. (6 + 5 √3) – (4 – 3 √3) is
(a) a