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- 1. Multiple Choice
Euclid's Division lemma states that for any tow positive integers a and b, there exists unique integers q and r such that a=bq+r where r must satisfy
0<r<b
0
0<r b
0 r b
- 2. Multiple Choice
The decimal expansion of 21/24 will terminate after how many places of decimal?
1
2
3
4
- 3. Multiple Choice
Given that HCF (253, 440)= 11 and LCM (253, 440) = 253 x R. The value of R is:
400
40
440
253
- 4. Multiple Choice
The rational number of decimal number 0.6¯ is:
33/50
2/3
111/167
1/3
- 5. Multiple Choice
Which of the following rational numbers have non-terminating repeating decimal expansion
31/3125
17/512
23/200
64/455
- 6. Multiple Choice
The product of a non-zero rational and an irrational is
Always irrational
Always rational
Rational or irrational
none
- 7. Multiple Choice
Which of the following is rational?
+
+
+
+
- 8. Multiple Choice
Euclid's division lemma states that if a and b are two positive integers, then there exist unique integers q and r such that:
a = bq + r, 0<r<b
a = bq + r, 0 r b
a = bq + r, 0 r< b
a = bq + r, 0 r b
- 9. Multiple Choice
If d= LCM (36, 198) then the value of d is:
396
198
36
1
- 10. Multiple Choice
For some integer 'a' every even integer is of the form:
a+1
2a
a
2a + 1
- 11. Multiple Choice
A rational number
An irrational number
An Integer
A Natural number
- 12. Multiple Choice
Of the four numbers, which is a rational number
2.1232123.....
- 13. Multiple Choice
When Euclid's lemma is used for a < b as a = bq+r, then which of the following is true
b=0
r=0
q=0
a=0
- 14. Multiple Choice
n2 -1 is divisible by 8, if n is
an integer
a natural number
an odd integer
an even integer
- 15. Multiple Choice
If two positive integers a and b are written as a =x5y2 and b=x2y3 (x and y are prime numbers) then HCF (a,b) is
xy
x5y3
x3y3
x2y2
- 16. Multiple Choice
The product of two consecutive integers is divisible by
2
3
5
7
- 17. Multiple Choice
one decimal place
two decimal places
three decimal places
more than three decimal places
- 18. Multiple Choice
one decimal place
two decimal places
three decimal places
four decimal places
- 19. Multiple Choice
There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed is:
22
16
36
42
- 20. Multiple Choice
Which one of the following is an irrational number?
0.371371371..
2.39
4.010010001..
2.4
- 21. Fill in the Blank
If p, q are two prime numbers, then LCM (p, q) is
- 22. Fill in the Blank
If HCF of 65 and 117 is expressible in the form 65 m -117, then the value of m is
- 23. Fill in the Blank
The largest number which divides 125 and 70, leaving remainders 8 and 5 respectively is
- 24. Fill in the Blank
The reciprocal of an irrational number is
- 25. Multiple Choice
If 'a' and 'b' are co-prime, then a2 and b2 are
co-prime
not co-prime
odd numbers
even numbers
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