Questions & Answers: "Number System: Place Value, Comparison and Operations"

Complete guide to "Number System: Place Value, Comparison and Operations" for Math students. Below you will find important questions and model answers to help you prepare.

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13 Questions
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1.

All points shown on the given number-line are at equal distances. l(UR) - l(QT) = ?

Question Diagram

Options

✅

l(RS)

❌

l(TU)

❌

l(QR)

❌

l(SQ)

2.

Which of the two options given below are incorrect statements?

Options

✅

All integers are not real numbers.

❌

Some rational numbers are integers.

✅

All rational numbers are integers.

❌

Some integers are not whole numbers.

3.

By how much is the greatest of the following numbers is greater than the smallest of the given numbers.

Question Diagram

Options

❌
Option
❌
Option
❌
Option
✅
Option
4.

If (17 × 19 × 4) ÷ m = 161.5 then find the value of ‘m’.

Options

❌

0.6

❌

7.0

❌

0.8

✅

8.0

5.

Which of the following is an irrational number?

Options

❌

3.14

❌
Option
✅

π

❌
Option
6.

Which of the following statement is correct?

Question Diagram

Options

✅

statement A

❌

statement B

❌

statement C

❌

statement D

7.

Find the incorrect statement from the following: (a) Every prime number is a natural number. (b) Every rational number is a real number. (c) Sum of any two prime numbers is an even number. (d) HCF of twin prime numbers is 1.

Options

❌

a

❌

b

✅

c

❌

d

8.

Using the digit only once, from one-digit prime number form the greatest and smallest 4-digit number. Which of the following options will not divide the difference between these numbers completely?

Options

❌

3

❌

5

❌

9

✅

7

9.

I had to give Rs. 7 change to Rickshaw uncle. I had enough coins of Rs. 1, Rs. 2, Rs. 5. Then in how many ways can I pay him?

Options

✅

6 ways

❌

3 ways

❌

5 ways

❌

4 ways

10.

Which of the following are the factors of the polynomial x² + x – 72

Options

✅

(x – 8) (x + 9)

❌

(x + 9) (x + 8)

❌

(x – 8) (x – 9)

❌

(x – 9) (x + 8)

11.

Which of the following are the factors of 16x⁴ – 81 [Select the correct alternatives]

Options

❌

(4x + 9) (4x – 9)

✅

(4x² + 9) (4x² – 9)

✅

(4x² + 9) (2x + 3) (2x – 3)

❌

(2x + 3)² (2x – 3)

12.

Find the value of m if

Question Diagram

Options

❌

2

❌

3

❌

4

✅

5

13.

Which of the following are the factors of the polynomial.

Question Diagram

Options

❌
Option
✅
Option
❌
Option
❌
Option