Review each question and reveal answers to strengthen your understanding
1Which of the following type of numbers are closed under only multiplication?
✅ Correct Answer: 3
2By using the properties of rational numbers solve the following equation (8 + 0) + (6 * 3).
✅ Correct Answer: 1
3Between any consecutive two integers, there are always infinite integers.
✅ Correct Answer: 2
4The maximum number of integers between two consecutive natural numbers is ________
✅ Correct Answer: 4
5[….., -1, 0, 1, …….] the given set shows which type of numbers?
✅ Correct Answer: 2
6An irrational number has ________
✅ Correct Answer: 3
7The product of a rational and an irrational number is rational number.
✅ Correct Answer: 2
8The product of two irrational numbers is an irrational number.
✅ Correct Answer: 2
9The sum of two rational numbers is a rational number.
✅ Correct Answer: 2
10The sum of two irrational numbers is a rational number.
✅ Correct Answer: 1
11Irrational numbers are denoted by _______
✅ Correct Answer: 4
12Real numbers are denoted by which letter?
✅ Correct Answer: 1
13All irrational numbers are real numbers.
✅ Correct Answer: 1
14How many real numbers are there between 3 and 8 (Including 3 and 8)?
✅ Correct Answer: 3
15Every point on the number line represents a unique real number.
✅ Correct Answer: 1
16Which of the following option is correct according to the below statements?
i) Every rational number is real number.
ii) Every real number is rational number.
✅ Correct Answer: 2
17Summation or Subtraction of two non-zero rational numbers is a/an __________
✅ Correct Answer: 3
18If we multiply or divide two rational numbers, we get a/an __________
✅ Correct Answer: 3
19If we add or subtract an irrational number and a rational number (non-zero), then we get a/an __________ number.
✅ Correct Answer: 3
20If we add or subtract two irrational numbers, we get __________ number.
✅ Correct Answer: 4
213 + 2–√ is a/an __________ number.
✅ Correct Answer: 2
22π – π is __________ number.
✅ Correct Answer: 3
23By simplifying (7–√+5–√)∗(7–√−5–√), we get __________
✅ Correct Answer: 2
24By simplifying (3–√+2–√)∗(3–√+2–√), we get __________
✅ Correct Answer: 2
25Summation or Subtraction of rational number and irrational number is always a/an __________ number.
✅ Correct Answer: 4
26Which of the following is Natural number?
✅ Correct Answer: 2
27Integer numbers set is denoted by which letter?
✅ Correct Answer: 4
28Find the incorrect option (Assume conventional notations).
✅ Correct Answer: 1
29Zero is a rational number.
✅ Correct Answer: 2
30There are _________ rational numbers between 2 and 3.
✅ Correct Answer: 3
31Which of the following option is true based on the below statements?
i) All integers are rational numbers.
ii) All rational numbers are integers.
✅ Correct Answer: 2
32Which of the following is not rational number?
✅ Correct Answer: 4
33How many whole numbers are there between -3 and 3 (Including -3 and 3)?
✅ Correct Answer: 1
34N is subset of W, Z and Q. (Assume conventional notations)
✅ Correct Answer: 1
35A sequence in which each term differs from its preceding term by a constant is called arithmetic progression.
✅ Correct Answer: 1
36If we add the terms of an AP, then we get a corresponding series.
✅ Correct Answer: 1
37Sequences which follow a definite pattern called progressions.
✅ Correct Answer: 1
38If the first term of an AP is a and its common difference is d then the nth term is given by Tn = a + (n – 1)d
✅ Correct Answer: 1
39Which term of the AP 2, 11, 20, 29…… is 290?
✅ Correct Answer: 4
40How many terms are there in the AP 9, 16, 23, 30……………282?
✅ Correct Answer: 3
41The middle term of the AP 11, 8, 5, … , -79 will be?
✅ Correct Answer: 2
42Which term of the AP 80, 76, 72, 68……. is the first negative term?
✅ Correct Answer: 1
43The sum of three numbers is 30 and their product 750. What are the three numbers?
✅ Correct Answer: 3
44Four numbers whose sum is 40 and sum of their squares is 480. What are the four numbers?
✅ Correct Answer: 2
45The sum of 5 numbers in AP is 10 and their product is 80. What are the five numbers?
✅ Correct Answer: 1
46The sum of first 20 terms of the AP 10, 12, 14, 16, 18…. is _________
✅ Correct Answer: 2
47The sum of 50 + 100 + 150 + 200 + …….. + 1000 is _________
✅ Correct Answer: 3
48What will be the sum of all 3-digit even positive numbers?
✅ Correct Answer: 1
49The sum of all 2 – digit numbers divisible by 19 will be __________
✅ Correct Answer: 3
50What will be the sum of all natural numbers lying between 500 and 5000, which are divisible by 17?
✅ Correct Answer: 2
51If the sum of first n terms of an AP is given by Sn = 4n2 + 6, then its first term will be _________
✅ Correct Answer: 1
52How many terms of the AP 5,10,15,20….. must be added to get a sum of 330?
✅ Correct Answer: 4
53The sum of the first 10 terms of an AP is the same as the sum of its first 5 terms, then the sum of its 15th term will be _______
✅ Correct Answer: 2
54The sum of the first 12 terms of an AP is 15 and the sum of its first 15 terms is 12, then the sum of its first 27 terms will be __________
✅ Correct Answer: 4
55If set A={1,2,3,4} and B={3,4,5,6}. Find A-B.
✅ Correct Answer: 3
56If set A = {1,2,3,4} and B = {3,4,5,6}. Find B-A.