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Question 1 of 30
1. Question
In a seminar, the number of participants in English, German and Sanskrit are 45,75 and 135. Find the number of rooms required to house them, if in each room, the same number of participants are to be accommodated and they should be of the same language.
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Question 2 of 30
2. Question
If p = HCF (100,190) and q = LCM (100, 190); then p2q2 is :
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Question 3 of 30
3. Question
A number \(\frac{p}{q}\), when expressed in decimal form, terminates after 7 digits, then factors of q are of the form xm x yn; the value of x + y should be :
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Question 4 of 30
4. Question
The condition to be satisfied by q, so that the rational number \(\frac{p}{q}\) has a non terminating decimal expansion is:
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Question 5 of 30
5. Question
If – 2 ≤ x ≤ 2, which of the following is not true for x:
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Question 6 of 30
6. Question
The largest positive integer which divides 434 and 539 leaving remainders 9 and 12 respectively is:
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Question 7 of 30
7. Question
There is a circular path around a field. Reema takes 22 minutes to complete one round while her friend Saina takes 20 minutes to complete the same. If they both start at the same time and move in the same direction, after how many minutes will they meet again at the starting
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Question 8 of 30
8. Question
If HCF (306, 657) = 9, then LCM of 306 and 657 is:
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Question 9 of 30
9. Question
Euclid’s Lemma states that, for given positive integers a and b, there exist unique integers q and r, such that a = bq + r, where :
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Question 10 of 30
10. Question
A number which can be expressed in the form \(\frac{p}{q}\) where q ≠ 0 is a rational number is:
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Question 11 of 30
11. Question
In decimal expansion and representation, which of the following is not a rational numbers:
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Question 12 of 30
12. Question
If a positive integer ‘a’ is divided by 2, what can be the remainder ?
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Question 13 of 30
13. Question
For some positive integer q, every even integer is of the form:
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Question 14 of 30
14. Question
If a nonzero rational number is multiplied to an irrational number, we always get:
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Question 15 of 30
15. Question
HCF and LCM of two positive integers a and b satisfy a relationship, that:
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Question 16 of 30
16. Question
If we write 0.9 as a rational number, we get:
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Question 17 of 30
17. Question
Write an irrational number between 2 and 3.
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Question 18 of 30
18. Question
Which of the following are irrational whose sum and product are both rationals :
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Question 19 of 30
19. Question
Find the value of x from the following such that x2 is irrational but x4 is rational:
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Question 20 of 30
20. Question
A rational number between 72 and 73 is:
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Question 21 of 30
21. Question
The rational number that corresponds to 0.6+0.\(\bar{7}\)+0.4\(\bar{7}\) is :
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Question 22 of 30
22. Question
The greatest number which divides 87 and 97, leaving 7 as remainder is :
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Question 23 of 30
23. Question
The least number, which when divided by 10,14 and 18, leaves remainder 4, is :
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Question 24 of 30
24. Question
The greatest number which divides 17, 28 and 34 leaving remainders 2, 3 and 4 respectively is:
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Question 25 of 30
25. Question
72 litres of liquid A and 108 litres of liquid B are to be packed in containers of the same size. The minimum number of containers required are:
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Question 26 of 30
26. Question
he HCF of two consecutive rational numbers x and x +1 is :
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Question 27 of 30
27. Question
The HCF of a number which is neither prime nor composite and any other number x is:
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Question 28 of 30
28. Question
Find q and r, if 12560 = 215 q + r.
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Question 29 of 30
29. Question
Using Euclid’s Lemma, if d is the HCF of 1155 and 506, find ‘d’
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Question 30 of 30
30. Question
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups have to march in the same number of columns. Find the maximum number of columns in which they can march ?
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