1. Which of the following number is not rational number?
A. 6/5
B. -4/3
C. Sqrt(12) + 1
D. 2/-7
2. To rationalise the denominator of 1/sqrt(2) + 5, we multiply this by ______.
A. 1/sqrt(2) + 5
B. sqrt(2) - 5/sqrt(2) - 5
C. 1/sqrt(2) - 5
D. sqrt(2) - 5/sqrt(2) - 5
3. The decimal expansion of the number sqrt(5) is ______.
A. Non-terminating recurring
B. Non-terminating non-recurring
C. A finite decimal
D. 2.236
4. Every whole number is _______.
A. Natural number
B. Integer
C. Rational number
D. All the above
5. The decimal expansion of the number 5/3 is _______
A. Non-recuring terminating
B. Non-terminating recurring
C. Non-terminating non-recurring
D. None of these
6. Consider two irrational numbers 1 + sqrt(5) and 1 - sqrt(5), their product is ________.
A. Rational
B. Irrational
C. Neither rational or irrational
D. Either irrational nor rational
7. Which of the following is irrational?
A. sqrt(1/2)
B. sqrt(4/5)
C. sqrt(5)
D. sqrt(3)/sqrt(7)
8. The value of 0.777... in the form p/q, where p and q are integers and q is not equal to 0, is _________.
A. 0.7
B. 7/10
C. 7/9
D. 7/1000
9. The value of 1.999... in the form p/q, where p and q are integers and q is not equal to 0, is _________.
A. 19/100
B. 2/1
C. 1999/1000
D. 0.9/100
10. Find the value of (32)^3/5 is ______.
A. 2
B. 4
C. 6
D. 8
11. What is the value of 3^1/5 . 3^7/2?
A. 35/10
B. 37/10
C. 32/10
D. 31/10
12. 4 sqrt(5) - sqrt(5) is equal to ______
A. 3 sqrt(5)
B. 2 sqrt(5)
C. sqrt(5)
D. 5 sqrt(5)
13. If a = 1 + sqrt(2), then find the value of 2a + 5 is _______.
A. 7 - 2 sqrt(2)
B. 7 + 2 sqrt(2)
C. 5 + 2 sqrt(2)
D. 5 - 2 sqrt(2)
14. Find the value of 4√(256)-2 is _____
A. 1/16
B. 1/2
C. 16
D. -16
15. The value of (1 + √3)/(1 - √3) is ____
A. 2 + √3
B. 2 - √3
C. -2 - √3
D. -2 + √3
16. Find the value of (5)^1/3 divide (5)^1/4 is ______.
A. 5^1/12
B. 5^1/3
C. 5^1/4
D. 5^1/6
17. Out of the following number, which one is irrational?
A. 1.2222...
B. 1.2348
C. 0.3333...
D. 1.2424...
18. The number obtained on rationalising the denominator of 1/(sqrt(6) + 2 is ________.
A. (sqrt(6) - 2)/2
B. (sqrt(6) + 2)/2
C. (sqrt(6) - 2)/4
D. (sqrt(2) - 2)/2
19. 4/√((256) - (16)) is equal to__
A. 1/2
B. 1/3
C. 1/4
D. 1/5
20. 4√3√312 equals to _____.
A. 1
B. 2
C. 3
D. 4