1.) If two positive integers x and y are written as x = a5b3 and y = ab2; a and b are prime numbers, then HCF (x, y) is
a) a5b3
b) ab2
c) a6b8
d) ab2
Ans :
Clearly, d) ab2 is the correct HCF of x and y.
2.) If a = 513 × 7, b = 3 × 525 ×76, c = 5n × 74 and LCM (a, b, c) = 3 × 531 × 76, then n = ?
a) 31
b) 25
c) 13
d) 34
Ans :
a = 513 × 7
b = 3 × 525 ×76
c = 5n × 74
LCM (a, b, c) = 3 × 531 × 76
Clearly, n = 31
a) 31 is the correct option.
3.) The value of x and y in the given figure are
a) x = 13, y = 156
b) x = 13, y = 788
c) x = 78, y = 156
d) x = 52, y = 788
4.) The decimal expansion of 491/(20 × 53) will terminate after
a) 3 decimal places
b) 2 decimal places
c) 6 decimal places
d) 5 decimal places
5.) A restaurant has two jars containing 425 ml and 1050 ml of soup respectively. Soup from these containers is to be poured into small bowls of equal capacity top their brim. Find the minimum number of bowls that can be filled?
a) 30
b) 35
c) 25
d) 45
6.) Find the largest positive integer that will divide 347, 245 and 903 leaving 7, 5 and 3 respectively.
a) 20
b) 60
c) 24000
d) 183600
7.) (3+√5)(3-√5)6√3 is a
a) Rational Number
b) Irrational Number
c) Whole Number
d) Natural Number