Hint: Find the place value of the digit in order to list total numbers.

Question.1. In which of these numbers, the value of the digit 2 is 10 times the value of the digit 2 in the number 7429?

(a) 7492
(b) 7249
(c) 2974
(d) 2794

Question.2. How many numbers can you form using the digits 1, 5, 6 and 9 without repetition of the digits such that the value of the digit 6 in all those number is 100 times the value of the digit 6 in the number 9561?

(a) 1
(b) 3
(c) 4
(d) 6

Ans.1. (b) 7249
Ans.2. (d) 6

Hint: List the total numbers you can make from the given digits in order to know the place value of the digit in the number.

Question.3. What is the place value of 6 in the greatest 4-digit number formed using the digits 4, 5, 6 and 9 without any repetition?

(a) 6
(b) 60
(c) 600
(d) 6000

Question.4. What is the place value of 8 in the smallest possible number formed using the digits 3, 4, 5 and 8 without repetition such that the number is greater than 3548?

(a) 8
(b) 80
(c) 800
(d) 8000

Ans.3. (c) 600
Ans.4. (b) 80

Hint: Arrange the digits of a given number in order to make smaller or bigger number.

Question.5. Anamika is forming 5-digit numbers using all the digits of the number 74064 without repetition. What is the smallest number that she can form keeping the same digits at consecutive places?

(a) 04467
(b) 40467
(c) 44067
(d) 76440

Question.6. The number below is the second largest number that can be formed using the digits, h, m, p and s without repeating a single digit.
“hsmp”
If one of the digits of the number is 0, what would be the smallest 4-digit number that can be formed using all these digits?

(a) pmsh
(b) pmhs
(c) mpsh
(d) mphs

Ans.5. (c) 44067
Ans.6. (a) pmsh

Hint: Add 1 to the greatest 1 digit, 2-digit, 3-digit number and so on in order to get the smallest next digit number.

Question.7. If we add 1 to the greatest 4-digit number, what will we get?

(a) Greatest 3-digit number
(b) Smallest 4-digit number
(c) Greatest 5-digit number
(d) Smallest 5-digit number

Question.8. Three students write numbers as described below.
Student 1: (Greatest 4-digit number + 1) – (Greatest 3-digit number + 1).
Student 2: (Smallest 5-digit number – Smallest 4-digit number)
Student 3: (Greatest 4-digit number – Greatest 3-digit number)
Based on the information, which statement is correct?

(a) All three students have written the same number.
(b) All three students have written three different numbers.
(c) Student 1 and Student 2 have written the same number.
(d) Student 1 and Student 3 have written the same number.

Ans.7. (d) Smallest 5-digit number
Ans.8. (a) All three students have written the same number.

Hint: Expand the given number in order to know the place value of a given digit in a particular number.

Question.9. Which option correctly represents the expanded form of 67,043?

(a) 6 × 100000 + 7 × 10000 + 4 × 100 + 3 × 10
(b) 6 × 100000 + 7 × 10000 + 4 × 100 + 3 × 0
(c) 6 × 10000 + 7 × 1000 + 4 × 10 + 3
(d) 6 × 10000 + 7 × 1000 + 4 × 10 + 3 × 0

Question.10. The expanded form of a number is 8 × 10000 + m × 1000 + 6 × 100 + 5 × 10 + 4. What is the greatest possible value of m if the number is smaller than 84,000?

(a) 7
(b) 4
(c) 3
(d) 0

Ans.9. (c) 6 × 10000 + 7 × 1000 + 4 × 10 + 3
Ans.10. (c) 3

Hint: Write the 6 digits number in expanded form in order to write its number name.

Question.11. What is the number name of 632078?

(a) Six lakh thirty-two thousand seventy-eight
(b) Eight lakh seven thousand two hundred thirty-six
(c) Eight lakh seventy thousand two hundred thirty-six
(d) Six lakh three thousand two hundred seventy-eight

Question.12. The expanded form of a 6-digit number is 5 × 100000 + m × 10000 + n × 100 + 4 × 10 + 3. If all the digits are unique, what is the number name of the greatest possible number?

(a) Five lakh nine thousand eight hundred forty-three
(b) Five lakh ninety thousand eight hundred forty-three
(c) Five lakh ninety-nine thousand nine hundred forty-three
(d) Five lakh ninety-nine thousand eight hundred forty-three

Ans.11. (a) Six lakh thirty-two thousand seventy-eight
Ans.12. (b) Five lakh ninety thousand eight hundred forty-three

Hint: Add and subtract one from number in order to find predecessor and successor of a given number.

Question.13. If the predecessor of a number is 18, what is the successor of that number?

(a) 20
(b) 19
(c) 18
(d) 17

Question.14. Romesh finds the successor of a number as per which is smaller than the predecessor of the smallest 4-digit number. Given that p, q and r have their maximum possible values, which pair of equations is true?

(a) p – q = 1 and q – r = 1
(b) p – q = 1 and q – r = 0
(c) p – q = 0 and q – r = 1
(d) p – q = 0 and q – r = 0

Ans.13. (a) 20
Ans.14. (a) p – q = 1 and q – r = 1

Hint: Add bigger digits numbers in order to understand the situations dealing with larger numbers.

Question.15. Arvind sold gadgets worth ₹ 2,76, 914 in the first month and gadgets worth ₹3,99,458 in the second month at his electronics store. How much was the sale for the two months together?

(a) ₹ 6,76,372
(b) ₹ 6,75,365
(c) ₹ 5,65,365
(d) ₹ 5,66,475

Question.16. A book fair was organised in a city for five days. The table below shows the number of visitors on the book fair each day.How many visitors visited the fair in all?

(a) 6,06,418
(b) 6,09,539
(c) 9,18,418
(d) 9,18,519

Ans.15. (a) ₹ 6,76,372
Ans.16. (d) 9,18,519

Hint: Use places of the digits of a particular number in order to read it easily.

Question.17. What is the place value of the digit 6 in the numeral 54968732?

(a) 6
(b) 6000
(c) 60000
(d) 600000

Question.18. What is the difference of the place value and face value of the digit 6 in the numeral 98463251?

(a) 5994; as the place value of 6 is 6000 and its face value is 6.
(b) 59994; as the place value of 6 is 60000 and its face value is 6.
(c) 3251; as the place value of 6 is 63251 and its face value is 60000.
(d) 54000; as the place value of 6 is 60000 and its face value is 6000.

Ans.17. (c) 60000
Ans.18. (b) 59994; as the place value of 6 is 60000 and its face value is 6.

Hint: Read the given situation in order to find the approximately estimated number.

Question.19. A news reporter reported that approximately 65,000 spectators attended the final match of the series. What could be the actual number of spectators who attended the match?

(a) 40,453
(b) 56,912
(c) 64,654
(d) 78,813

Question.20. According to an article, approximately 75,000 people visited India Gate for New Year celebration last year. What could be the actual number of people who visited India Gate for the celebration?

(a) 37,500
(b) 50,212
(c) 75,315
(d) 1,00,000

Ans.19. (c) 64,654
Ans.20. (c) 75,315

Hint: Estimate the number to the nearest tens in order to round off.

Question.21. What is 3539 rounded off to the nearest ten?

(a) 3600
(b) 3500
(c) 3540
(d) 3530

Question.22. What is the number 37 rounded off to the nearest ten?

(a) 30 as the gap between 37 and 30 is greater when compared to the gap between 37 and 40.
(b) 40 as the gap between 37 and 40 is smaller when compared to the gap between 37 and 30.
(c) 30 as the digit at the tens place is 3.
(d) 40 as the next digit to 3 is 4.

Ans.21. (c) 3540
Ans.22. (b) 40 as the gap between 37 and 40 is smaller when compared to the gap between 37 and 30.

Hint: Estimate the number to the nearest hundreds/thousands in order to round it off.

Question.23. Which digit makes this statement true? 4?73 rounded to the nearest hundred is 4,900.

(a) 5
(b) 6
(c) 8
(d) 9

Question.24. If 1c500 and 1d499 are the smallest and the greatest numbers which are rounded off to the nearest thousand as 16000, which relation is true for c and d?

(a) c = 1 – d
(b) d = 1 + c
(c) c = d + 11
(d) d = c + 11

Ans.23. (c) 8
Ans.24. (b) d = 1 + c

Hint: Round off the numbers in order to find their sum and difference easily.

Question.25. Which expression best estimates the value of the expression 8820 – 5270?

(a) 9000 – 5000
(b) 9000 –6000
(c) 8000 – 6000
(d) 7000 – 6000

Question.26. There are 4,10,541 females and 5,08,683 males in a city. Which expression best estimates the population of the city?

(a) 300000 + 400000 = 700000
(b) 400000 + 500000 = 900000
(c) 500000 + 500000 = 1000000
(d) 500000 + 600000 = 1100000

Ans.25. (a) 9000 – 5000
Ans.26. (b) 400000 + 500000 = 900000

Hint: Round off the numbers in order to find their product easily.

Question.27. Which expression best estimates the value of the expression 1277 × 6865?

(a) 1000 × 6000
(b) 1000 × 7000
(c) 2000 × 6000
(d) 2000 × 7000

Question.28. Advik has to buy 18 curtains for his home. If each curtain costs ₹1,975, approximately how much money will he need?

(a) 10,000
(b) 20,000
(c) 30,000
(d) 40,000

Ans.27. (b) 1000 × 7000
Ans.28. (d) 40,000

Hint: Use bracket to solve the problem in order to make calculation quick and to avoid confusion.

Question.29. Which option correctly calculates the value of the expression 7 × 15 + 9 × 15?

(a) (7 + 9) + 15 = 16 + 15 = 31
(b) (7 × 9) + 15 = 63 + 15 = 68
(c) (7 + 9) × 15 = 16 × 15 = 240
(d) (7 × 9) × 15 = 63 × 15 = 945

Question.30. Shishir bought 7 t-shirts for ₹250 each and 4 trousers at the same cost. How much did he spend in all?

(a) 1,007; as 7 + 4 × 250 = 7 + 1000 = 1,007
(b) 1,754; as 4 + 7 × 250 = 4 + 1750 = 1,754
(c) 2,750; as (7 + 4) × 250 = 11 × 250 = 2,750
(d) 2,750; as (7 × 4) × 250 = 28 × 250 = 7,000

Ans.29. (c) (7 + 9) × 15 = 16 × 15 = 240
Ans.30. (c) 2,750; as (7 + 4) × 250 = 11 × 250 = 2,750

Hint: Write numbers in the form of roman numerals in order to represent and interpret the numbers written in a clock, timetable etc.

Question.31. What is 77 in Roman numeral?

(a) VIIVII
(b) LXVII
(c) LXXVII
(d) XXXCVII

Question.32. Which of these is the correct representation of the Roman numeral DCXCIV in Hindi-Arabic numeral?

(a) 694; as DCXCIV = DC + XC + IV = 600 + 90 + 4
(b) 716; as DCXCIV = DC + XC + IV = 600 + 110 + 6
(c) 214; as DCXCIV = D + C + X + C + I + V = 100 + 50 + 10 + 50 + 4
(d) 216; as DCXCIV = D + C + X + C + I + V = 100 + 50 + 10 + 50 + 1 + 5

Ans.31. (c) LXXVII
Ans.32. (a) 694; as DCXCIV = DC + XC + IV = 600 + 90 + 4

Hint: Apply the rules of roman numbers operations in order to perform arithmetic operation on them.

Question.33. What is the value of 50 + (50 – 1) in Roman numeral?

(a) IC
(b) LIL
(c) XCIX
(d) XCVIV

Question.34. There are 15 marbles each in 3 bags. A teacher asked his students to find the total number of marbles in all 3 bags and express their answer in Roman numeral. Based on the information, one of the students calculates the total number of marbles as 45 and represents it as VL. Which is true about the student’s answer?

(a) The student calculates the total marbles correctly and also represents it in Roman numeral as VL because V = 5, L = 50 and writes V is to the left of L.
(b) The student calculates the total marbles correctly but represents it in Roman numeral incorrectly because V = 5, L = 50 and V cannot be written to the left of a symbol of greater value.
(c) The student incorrectly calculates the total number of marbles because to find the total number of marbles, 15 should be added to 3 instead of multiplying and in Roman numeral 18 = XVIII.
(d) The student incorrectly calculates the total number of marbles because to find the total number of marbles, 15 should be added to 3 instead of multiplying and in Roman numeral 18 = XIIIV.

Ans.33. (c) XCIX
Ans.34. (b) The student calculates the total marbles correctly but represents it in Roman numeral incorrectly because V = 5, L = 50 and V cannot be written to the left of a symbol of greater value.