Q1.

Which statement is wrong.

(a) Zero is the rational number

(b) Pie is an irrational number

(c) 6 is the least composite number

(d) Difference of two prime numbers are always a prime number

  • c, d

  • a 

  • c

  • d

Solution:

c, d

Q2.

Convert 12.604333333....... into p/q.

  • 1456/900

  • 11343/900

  • 65430/990

  • 1234/9

Solution:

11343/900

Q3.

Which one is irrational number

  • 0.124

  • 1.9898989898---------

  • 0.10180018000--------

  • 3/7

Solution:

0.10180018000--------

Q4.

Which statement is wrong ?

(a). Irrational numbers can not be plotted on real number line.

(b). Real numbers is the set of Rational and Irrational numbers.

(c). 2 is the least prime number.

(d). If number is non-terminating and non-repeating, it is irrational number.

  • a

  • b

  • c

  • d

Solution:

a

Q5.

Rational number \(x = {15 \over 1600}\) terminates after how many digits

  • 5

  • 6

  • 4

  • 3

Solution:

6

Q6.

If \( { \sqrt{2} }= 1.414\)

Find the value of \({\sqrt{8} } + {\sqrt{50} } + {\sqrt{72} } + {\sqrt{98} }\)

 

  • 28.28

  • 54.98

  • 65

  • 39.72

Solution:

28.28

Q7.

If \(x = {3 + \sqrt{7} \over 2}\)  find the value of 4x2 + 1/x2

  • 56

  • 32

  • 89

  • 22

Solution:

32

Q8.

If 2x = 3y = 6-z,   find the value of \({1 \over x} + {1 \over y} + {1 \over z}\)

  • 1

  • 2

  • 3

  • 0

Solution:

0

Q9.

If a = cz,   b = ax   and c = by,    find the value of xyz.

  • 1

  • 2

  • 3

  • 4

Solution:

1

Q10.

Find the value of (8x)x,   if 9x + 2 = 240 + 9x 

  • 1

  • 2

  • 3

  • 4

Solution:

2