NCERT Class 6 Mathematics Chapter 1 Number System Exemplar Solutions

Question. Which is the correct word form of 9.04?
(a) Nine and four tenths
(b) Ninety and four hundredths
(c) Nine and four hundredths
(d) Nine and four thousandths
Answer : C

Question. 12 : Even number :: ___ : Odd number.
(a) 14
(b) 17
(c) 16
(d) 10
Answer : B

Question. Sara's user ID is a 5-digit number. The 9 is in the ten thousands place. The 0 is in the ones place. An 8 is in the thousands place. A 4 is in the tens place. A 2 is in the hundreds place. What is Sara's user ID number?
(a) 90,842
(b) 89,204
(c) 98,420
(d) 98,240
Answer : D

Question. Pick the odd one out keeping in mind the divisibility rules of 3.
(a) 252
(b) 367
(c) 183
(d) 492
Answer : B

Question. How many four digit numbers are there between 999 and 3000? (2008, Tricky)
(a) 2001
(b) 2000
(c) 1999
(d) 1998
Answer : C

Question. This is the value where the digit is in the number, such as units, tens, hundreds, etc.
(a) Time value
(b) Place value
(c) Difference value
(d) Product value
Answer : B

Question. How do you write 10.067 in expanded notation?
(a) 10 + 6/100 + 7/1,000
(b) 1 + 6/10 + 7/100
(c) 100 + 60 + 7
(d) 1 + 6/100 + 7/1,000
Answer : A

Question. What is the value of 2 in the number: 529,307,604,000 ?
(a) Hundred billion
(b) Ten billion
(c) Ten million
(d) One million
Answer : B

Question. 11 : Prime Number :: ____ : Composite number.
(a) 12
(b) 13
(c) 17
(d) 7
Answer : A

Question. Sum of a number of two digits and the number obtained by reversing the digits of the first number is 110. If the difference of the digits is 4, then the number is
(a) 62
(b) 73
(c) 84
(d) 51
Answer : B

Question. The expanded form of 6,153,122 is:
(a) 6,000,000 + 100,000 + 50,000 + 3000 + 100 + 20+2
(b) 60,000,000 + 100,000 + 50,000 + 3000 + 100 + 20 + 2
(c) 600,000,000 + 100,000 + 50,000 + 3000 + 100 + 20 + 2
(d) 6,000,000,000 + 100,000 + 50,000 + 3000 + 100 + 20 + 2
Answer : A

Question. What is the value of the 5 in the following numbers? 132,070,689,050
(a) ten
(b) ten thousand
(c) ten million
(d) ten billion
Answer : A

Question. Which shows five hundred six million, seventy-three thousand, eight in standard form?
(a) 516,073,008
(b) 506,073,008
(c) 506,111,0008
(d) 506,068,908
Answer : B

Question. Read the statement and choose the correct option.
Statement A : As per the place value system, multiplication is performed from left to right i.e. Highest place value to lowest place value).
Statement B : As per the place value system, division is performed from left to right i.e. Highest place value to lowest place value).
(a) Only A is true.
(b) Only B is true.
(c) Both A and B are true.
(d) Both A and B are false.
Answer : B

Question. What is the numeric form of the number given below?
“One hundred four thousand, one hundred three”
(a) 1,413
(b) 14,103
(c) 104,103
(d) 104,113
Answer : C

Question. 17422.16 in word form is
(a) seventeen thousand, four hundred, two, two and one tenths and six hundredths
(b) seventeen, four hundreds, twenty-two and sixteen hundredths
(c) seventeen thousand, four hundred, twenty-two and sixteen hundredths
(d) seventeen thousand, four hundred, twenty-two and sixteen tenths
Answer : C

Question. Estimate to the nearest hundred 496 plus 318.
(a) 814
(b) 800
(c) 178
(d) 700
Answer : B

Question. In the number 3.4625, the place value of the digit 2 is
(a) 1000
(b) 100
(c) 1/1000
(d) 1/100
Answer : B

Question. Complete the number sentence.
327,421 = 300,000 + 20,000 + ? + 400 + 20 + 1
(a) 70,000
(b) 700,000
(c) 7,000
(d) 700
Answer : C

vWhich of the following expressions does not describe the value of the digit 5 in the number 21.3572?
(a) 500 ten-thousandths
(b) 50 tenths
(c) 50 thousandths
(d) 5 hundredths
Answer : B

Question. Which of the following is correct? (2008, Tricky)
(a) Successor of predecessor of 1000 is 1001
(b) Successor of predecessor of 1000 is 1002
(c) Predecessor of successor of 1000 is 1000
(d) Predecessor of predecessor of 1000 is 999
Answer : C

Question. Choose an answer that has a digit in the hundreds place that has a greater value than the digit in the thousands place.
(a) 101,100
(b) 428,304
(c) 580,340
(d) 873,212
Answer : C

Question. 407928 is read as
(a) Forty thousand nine hundred twenty eight
(b) Four lakh seven thousand nine hundred twenty eight
(c) Four lakh seventy nine thousand twenty eight
(d) Forty seven thousand nine hundred twenty eight
Answer : B

Question. 500 thousand + 600 hundred + 320 tens = ____________.
(a) 563200
(b) 5632000
(c) 5063200
(d) 5603200
Answer : A

Question. How do you write 240,004,395 in expanded notation?
(a) 200,000,000 + 40,000,000 + 4,000,000 + 300 + 90 + 5
(b) 200,000,000 + 40,000,000 + 4,000 + 300 + 90 + 5
(c) 200,000,000 + 40,000,000 + 4,000,000 + 300,000 + 90,000 + 5,000
(d) 200,000,000 + 40,000,000 + 300 + 90 + 5
Answer : B

Question. The number 5 crores 9 lakhs 4 thousands 9 hundred eighty-eight in numerals can be written as
(a) 59004988
(b) 590400988
(c) 509049088
(d) 50904988
Answer : D

Question. Sum of place values of 6 in 63606 is
(a) 6066
(b) 18
(c) 60606
(d) 6606
Answer : C

Question. In number 97580, when the digits 7 and 5 as interchanged its place, then the difference between the original and the new number is
(a) 1800
(b) 1080
(c) 1008
(d) 1000
Answer : A

Question. Place value and face value of a number is always equal at ________.
(a) One’s place
(b) Ten’s place
(c) Hundred’s place
(d) None of these
Answer : A

Question. What number am I?
• I am a two-digit even number.
• I am a common multiple of 6 and 7.
• I have a total of 8 factors.
(a) 35
(b) 42
(c) 36
(d) 84
Answer : B

Question. The sum of two numbers is 484. One of the numbers ends in a zero. If this zero is removed, we get the second number. The numbers are _______ and _______.
(a) 40, 444
(b) 4, 480
(c) 44, 440
(d) 84, 400
Answer : C

Question. The difference of 5671 and the number obtained on reversing its digits is
(a) 7436
(b) 3906
(c) 4906
(d) 3916
Answer : B

Question. Number of thousandths in 2 tenths is ____________.
(a) 20
(b) 200
(c) 2
(d) None of these
Answer : B

Question. Taking a number from 32 thousands gives 14 hundreds and 26 tens. The number is ____.
(a) 1660
(b) 30340
(c) 32000
(d) 33660
Answer : D

Question. In the given number 890436,if you write 0 in place of 4, by how much the resulting number be less than this given number?
(a) 40
(b) 400
(c) 436
(d) 36
Answer : B

Question. What is 650.287 rounded to the nearest tenth?
(a) 6050
(b) 6100
(c) 6050.29
(d) 6050.3'
Answer : D

Question. Write the following four numbers in descending order :
I. 4 2 0 3 5 6 7
II. 4 2 0 3 6 5 7
III. 4 2 0 3 7 5 6
IV. 4 2 0 3 6 7 5
(a) I, II, III, IV
(b) III, IV, II, I
(c) I, II, IV, III
(d) III, II, IV, I
Answer : B

Question. John spends 2.63 hours studying for Math, 6.37 hours studying for English and 0.4 hours studying for reading. How much total time does John spend studying?
(a) nine and four thousandth hours
(b) nine and four tenths hours
(c) nine and four hundredth hours
(d) nine hours
Answer : B

Question. Match the following numbers in list I with the corresponding place value of number 1.

     A      B     C     D
(a) 2      3      4      1
(b) 3      2      1      4
(c) 4      2      3      1
(d) 1      3      2      4
Answer : A

Question. Which list shows all the prime numbers between 0 and 22?
(a) 1, 3, 5, 7, 11, 13, 19
(b) 2, 3, 5, 7, 11, 13, 17, 19
(c) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 21
(d) 1, 2, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21
Answer : B

Question. Find the greatest number which divides 36 and 84 leaving no remainder in each case.
(a) 6
(b) 9
(c) 12
(d) 18
Answer : C

Question. Ten thousands + ten ones + ten tens equals :
(a) 10110
(b) 11010
(c) 10011
(d) 101010
Answer : A

Question. Using all the given digits, form the greatest possible 7-digit even number, if repetition of digits is allowed.
                                  9     3     0    8
(a) 9830000
(b) 9998830
(c) 9988330
(d) 9999830
Answer : D

Question. 1 billion = ______ crores.
(a) 1
(b) 10
(c) 100
(d) 1000
Answer : C

Question. Sum of divisors of 78 is _______.
(a) 168
(b) 170
(c) 167
(d) 189
Answer : A

Question. Gautam is thinking of a four digit number. (2014, Tricky)
• The fourth digit is thrice the first digit.
• The second digit is the second multiple of 2.
• The third digit is the smallest even number.
Find the number.
(a) 3426
(b) 6421
(c) 9423
(d) 3429
Answer : D

Question. Select the correct match.
(a) 897 - DCCXCVII
(b) 1234 - MCCXXIV
(c) 541 - CDXLI
(d) 547 - DXLVII
Answer : D

Question. The smallest ten digit number that has two digits the same is ____________.
(a) 1000000001
(b) 11000000000
(c) 1010000000
(d) 1000000010
Answer : A

Question. Hundred million = _____________.
(a) 10 crore
(b) 1 crore
(c) 100 crore
(d) 10 lakh
Answer : A

Question. I am an even number. You will find me if you count in 7s. I am less than 100. I am more than 80. Who am I?
(a) 72
(b) 84
(c) 96
(d) 82
Answer : B

Question. 15 hundreds multiplied by fifteen tenths multiplied by three fifteenths divided by forty five thousandths is equal to the successor of ____________.
(a) 999
(b) 9999
(c) 99999
(d) 14999
Answer : B

Question. What is the difference in the place value of the digits 8 and 6 in the numeral 8962321?
(a) 7994000
(b) 7904000
(c) 7960000
(d) 7940000
Answer : D

Question. Match the columns.
Column I       Column II
(i) 1524          (p) MMMDL
(ii) 3678         (q) MDXXIV
(iii) 2540        (r) MMMDCLXXVIII
(iv) 3550        (s) MMDXL
(a) (i) → (q), (ii) → (r), (iii) → (s), (iv) → (p)
(b) (i) → (p), (ii) → (s), (iii) → (r), (iv) → (q)
(c) (i) → (p), (ii) → (r), (iii) → (q), (iv) → (s)
(d) (i) → (q), (ii) → (p), (iii) → (s), (iv) → (r)
Answer : A

Question. ________ is equivalent of one lakh in International System of number.
(a) Hundred thousand
(b) Ten million
(c) One million
(d) Ten thousand
Answer : A

Question. Which of the following statements in INCORRECT?
(a) The place value of the digit '2' in the number 532689 is 200 times the number 10.
(b) The difference in place values of the digits '7' and '4' in the number 6734581 is 696000.
(c) In the number 8176942, the place value of the digit '1' is 50000 × 20.
(d) The place value of the digit '5' in the number 7538612 is 21869 more than 478131.
Answer : C

Question. Which of the following options hold?
Statement 1 : The value of CM – CD + CVII is 607.
Statement 2 : Symbol C can be added to every Roman Symbol. But it can be subtracted from D and M only.
(a) Statement 1 is true but statement 2 is false.
(b) Statement 1 is false but statement 2 is true.
(c) Both the statements are true.
(d) Both the statements are false.
Answer : C

Question. Which one of the following statements is true?
(a) All the even numbers are composite numbers.
(b) All the odd numbers are prime numbers.
(c) These are infinitely prime numbers.
(d) A prime number can be written as the product of more than two natural number
Answer : C

Directions (Qs. a to d) : In the given questions, identify the place value of 5. 7. 17,526,010
(a) five ten thousands
(b) five thousands
(c) five hundred thousands
(d) five hundreds
Answer : C

Question b. 2,110,735,000
(a) five thousands
(b) five hundreds
(c) five millions
(d) five ten thousands
Answer : A

Question c. 780,756
(a) five ones
(b) five tens
(c) five hundreds
(d) 5 tenth
Answer : B

Question d. 50,697
(a) five hundreds
(b) five millions
(c) five hundred thousands
(d) five ten thousands
Answer : D