The values of the remainder r, when a positive integer a is divided by 3 are 0 and 1 only. Justify your answer.
The decimal expansion of the rational number 14587/1250 will terminate after:
(A) one decimal place (B) two decimal places
(C) three decimal places (D) four decimal places
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
(A) 10 (B) 100 (C) 504 (D) 2520
The product of a non-zero rational and an irrational number is
(A) always irrational (B) always rational
(C) rational or irrational (D) one
If two positive integers p and q can be expressed as
p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is
(A) ab (B) a2b2 (C) a3b2 (D) a3b3
If two positive integers a and b are written as a = x3y2 and b = xy3; x, y are prime numbers, then HCF (a, b) is
(A) xy (B) xy2 (C) x3y3 (D) x2y2
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
(A) 13 (B) 65
(C) 875 (D) 1750
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
(A) 4 (B) 2
(C) 1 (D) 3
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