Chapter – 1 (Real Numbers)
1.The decimal form of 129/225775 is –
(a) Terminating
(b) non-terminating
(c) non-terminating non-repeating
(d) none of the above
2.HCF of 8,9,25 is –
(a) 8 (b) 9 (c) 25 (d) 1
3.Which of the following is not irrational?
(a)(2-√3)2 (b) (√2+√3)2
(c) (√2-√3)(√2+√3) (d) 2√7/7
4. The product of a rational and irrational number is –
(a) rational (b) irrational (c) both of above (d) none of above
5. The sum of rational and irrational number is –
(a) rational (b) irrational (c) both of above (d) none of above
6. The product of two different irrational numbers is always –
(a) rational (c) irrational (c) both of above (d) none of above
7. The sum of two irrational numbers is always -
(a) irrational (b) rational (c) rational or irrational (d) one
8. If b=3, then any integer can be expressed as a –
(a) 3q,3q+1,3q+2 (b) 3q (c) none of above (d) 3q+1
9. The product of three consecutive positive integers is divisible by –
(a) 4 (b) 6 (c) no common factor (d) only 1
10. The Set A={0,1,2,3,4,……} represents the set of –
(a) whole number (b) integers (c) natural numbers (d) even numbers
11. LCM of the given ‘X’ and ‘Y’ where Y is a multiple of ‘X’ is given by –
(a) X (b) Y (c) XY (d) X/Y
Answers
Answer:
Real Numbers
1. The decimal form of 129225775 is
(a) terminating
(b) non-termining
(c) non-terminating non-repeating
(d) none of the above
Answer
Answer: c
2. HCF of 8, 9, 25 is
(a) 8
(b) 9
(c) 25
(d) 1
Answer
Answer: d
3. Which of the following is not irrational?
(a) (2 – √3)2
(b) (√2 + √3)2
(c) (√2 -√3)(√2 + √3)
(d)27√7
Answer
Answer: c
4. The product of a rational and irrational number is
(a) rational
(b) irrational
(c) both of above
(d) none of above
Answer
Answer: b
5. The sum of a rational and irrational number is
(a) rational
(b) irrational
(c) both of above
(d) none of above
Answer
Answer: b
6. The product of two different irrational numbers is always
(a) rational
(b) irrational
(c) both of above
(d) none of above
Answer
Answer: b
7. The sum of two irrational numbers is always
(a) irrational
(b) rational
(c) rational or irrational
(d) one
Answer
Answer: a
8. If b = 3, then any integer can be expressed as a =
(a) 3q, 3q+ 1, 3q + 2
(b) 3q
(c) none of the above
(d) 3q+ 1
Answer
Answer: a
9. The product of three consecutive positive integers is divisible by
(a) 4
(b) 6
(c) no common factor
(d) only 1
Answer
Answer: b
10. The set A = {0,1, 2, 3, 4, …} represents the set of
(a) whole numbers
(b) integers
(c) natural numbers
(d) even numbers
<strongAnswer
Answer: a
11. Which number is divisible by 11?
(a) 1516
(b) 1452
(c) 1011
(d) 1121
Answer
Answer: b
12. LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by
(a) x
(b) y
(c) xy
(d) xy
Answer
Answer: b
13. The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is
(a) 17
(b) 11
(c) 34
(d) 45
Answer/ Explanation
Answer: a
Explaination:(a); [Hint. Algorithm 398 – 7 – 391; 436 – 11 = 425; 542 – 15 = 527; HCF of 391, 425, 527 = 17]
14. There are 312, 260, and 156 students in class X, XI, and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes an equal number of students
(a) 52
(b) 56
(c) 48
(d) 63
Answer/ Explanation
Answer: a
Explaination:(a); [Hint. HCF of 312, 260, 156 = 52]
15. There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet ?
(a) 36 minutes
(b) 18 minutes
(c) 6 minutes
(d) They will not meet
Answer/ Explanation
Answer: a
Explaination:(a); [Hint. LCM of 18 and 12 = 36]
16. Express 98 as a product of its primes
(a) 2² × 7
(b) 2² × 7²
(c) 2 × 7²
(d) 23 × 7
Answer
Answer: c
17. Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.
(a) 98 kg
(b) 290 kg
(c) 200 kg
(d) 350 kg
Answer/ Explanation
Answer: a
Explaination:(a); [Hint. HCF of 490, 588, 882 = 98 kg]
18. For some integer p, every even integer is of the form
(a) 2p + 1
(b) 2p
(c) p + 1
(d) p
Answer
Answer: b
19. For some integer p, every odd integer is of the form
(a) 2p + 1
(b) 2p
(c) p + 1
(d) p
Answer
20. m² – 1 is divisible by 8, if m is
(a) an even integer
(b) an odd integer
(c) a natural number
(d) a whole number
Answer
Answer: b