Solution of Mathematics Mock Test -1



Objective Type Questions
[15 MCQ Answers]
 
Q.1.Which of the following Indo-Arabic number digit, is an example of insignificant digit?
(a). 0
(b). 1
(c). 7
(d). 9
Ans. (a). 0
Solution: Indo-Arabic numbers have 10 digits – 0,1,2,3,4,5,6,7,8,9 and out of these ten digits 1 to 9 is called as Significant digits while 0 is known as Insignificant digit.


Q.2.What is the correct word numeration for the number- 163?
(a). One Thousand Three
(b). One Hundred Three
(c). Sixteen Hundred Three
(d). One Hundred Sixty Three
Ans. (d). One Hundred Sixty Three
Solution: Word numeration means representation of numbers in words and according to place value system numeral 163 is written as ‘One Hundred Sixty Three’.
 
 
Q.3.What is the numeral form of word numeration- ‘Five Lakh Thirty Thousand Three Hundred’?
(a). 5,00,333
(b). 5,33,000
(c). 5,30,300
(d). None of the above
Ans. (c). 5,30,300
Solution: Numeral form of numeration means representation in numbers instead of words, and according to place value system word numeration of ‘Five Lakh Thirty Thousand Three Hundred’ is written as 5,30,300.
 
 
Q.4. Find the difference between the local value and the face value of 9 in the numeral 677982.
(a). 909
(b). 891
(c). 900
(d). 991
Ans. (b). 891
Solution:
In the numeral 677982, 9 is presented at hundredth place.
So, the local value or the place value of 9 is,
= 9×100
= 900
 
And, the face value of 9 is,
=9
[As the face value of any number is the number itself]
 
Now, according to the question, the difference between local value and the face value of 9 in the given numeral is,
= (Local Value) – (Face Value)
= 900-9
= 891.
 
So, the difference between local value and the face value of 9 in the numeral 677982 is 891.
 
 
Q.5.What is the face value of 7 in the numeral 1091033976?
(a). 10
(b). 70
(c). 07
(d). 17
Ans. (c). 07
Solution:
In the numeral 1091033976, the face value of 7 is,
=7
 
Because, the face value of a digit in any given numeral is its own value irrespective of its place in the numeral.
 
So, the face value of 7 in the numeral 1091033976 is 7.
 
 
Q.6.What is the local value of 3 in the numeral 13790?
(a). 0003
(b). 0300
(c). 3000
(d). 30000
Ans. (c). 3000
Solution:
In the numeral 13790, 3 is presented at thousandth place.
So, the local value or the place value of 3 is,
= 3×1000
= 3000.
 
 
Q.7.What is the difference between place value of 3 in numeral 39765482, and number 10,00,000?
(a). 2,00,00,000
(b). 2,10,00,000
(c). 2,90,00,000
(d). 3,10,00,000
Ans. (c). 2,90,00,000
Solution:
In the numeral 39765482, 3 is presented at One Crore place.
So, the local value or the place value of 3 is,
= 3×1,00,00,000
= 3,00,00,000
 
Now, according to the question,
= 3,00,00,000-10,00,000
=2,90,00,000
 
So, the difference between place value of 3 and 10,00,000 is 2,90,000.
 
 
Q.8.What is the product of place value and face value of 7 in the numeral 17321?
(a). 07007
(b). 06993
(c). 70007
(d). 49000
Ans. (d). 49000
Solution:
In the given numeral, 7 is present at thousandth place.
So, the place value of 7 is,
=7×1000
=7,000
 
And, the face value of 7 is,
=7
[As the face value of any number is the number itself]
 
Now, according to the question, the product of place value and the face value of 7 is,
= (Place Value) × (Face Value)
= 7000×7
= 49,000
 
So, product of place value and the face value of 7 in the numeral 17321 is 49000.
 
 
Q.9.What is the difference between place value of 7 and 3 in the numeral 527435?
(a). 6030
(b). 7030
(c). 6070
(d). 6970
[RRB, 2001]
Ans. (d). 6970
Solution:
In the numeral 527435, 7 is present at thousandth place and 3 is at tenth place.
So, the place value of 7 is,
= 7×1,000
= 7000
 
And, the place value of 3 is,
=3×10
=30
 
Now, according to the question, the difference between the place value of 7 and 3 in the given numeral is,
= (Place Value of 7) – (Place Value of 3)
= 7000-30
= 6970.
 
So, the difference between the place value of 7 and 3 in the numeral 527435 is 6970.
 
 
Q.10.The difference between the local value and the face value of 7 in the numeral 576900 is,
(a). 68,999
(b). 69,999
(c). 69,993
(d). 69,009
Ans. (c). 69,993
Solution:
In the numeral 576900, 7 is present at ten thousandth place.
So, the local value of 7 is,
= 7×10000
= 70,000
 
And, the face value of 7 is,
=7
 
Now, according to the question, the difference between the local value and face value of 7 in the given numeral is,
= (Local Value of 7) – (Face Value of 7)
= 70000-7
= 69,993.
 
So, the difference between the place value and face value of 7 in the numeral is 69,993.
 
 
Q.11.What is the word numeration of 100,000 by international place value system?
(a). One Lakh
(b). One Thousand
(c). One Million
(d). Hundred Thousand
Ans. (d). Hundred Thousand
Solution: Word numeration means representation of numbers in words and according to international place value system numeral 100,000 is written as ‘Hundred Thousand’, because international place value system follow- one`s or unit place (1), tenth place (10), hundredth place (100), thousandth place (1,000), ten thousandth place (10,000), hundred thousandth place (100,000), one millionth place (1,000,000) and so on.
 
 
 
Q.12.What is the word numeration of 1,000,000 by international place value chart?
(a). Million
(b). Billion
(c). Trillion
(d). Ten Lakh
Ans. (a). Million
Solution: Word numeration means representation of numbers in words and according to international place value system numeral 100,000 is written as ‘Hundred Thousand’, because international place value system follow- one`s or unit place (1), tenth place (10), hundredth place (100), thousandth place (1,000), ten thousandth place (10,000), hundred thousandth place (100,000), one millionth place (1,000,000) and so on.
 
 
Q.13.The difference between the local value and the face value of 2 in the numeral 13002 is,
(a). 2
(b). 1
(c). 0
(d). 4
Ans. (c). 0
Solution:
In the numeral 13002, 2 is present at one`s place.
So, the local value of 2 is,
= 2×1
= 2
 
And, the face value of 2 is,
=2
 
Now, according to the question, the difference between the local value and face value of 2 in the given numeral is,
= (Local Value of 2) – (Face Value of 2)
= 2-2
= 0.
 
So, the difference between the place value and local value of 2 in the numeral is 0.
 
 
Q.14.The difference between the local value and the face value of 9 in the numeral 108690610 is,
(a). 90091
(b). 89001
(c). 89991
(d). 89091
Ans. (d). 89991
Solution:
In the numeral 108690610, 9 is present at ten thousandth place.
So, the local value of 9 is,
= 9×10000
= 90,000
 
And, the face value of 9 is,
=9
 
Now, according to the question, the difference between the local value and face value of 9 in the given numeral is,
= (Local Value of 9) – (Face Value of 9)
= 90000-9
= 89,991.
 
So, the difference between the place value and local value of 9 in the numeral is 89,991.
 

Q.15.The product of local value and the face value of 3 in the numeral 3276900 is,
(a). 90,00,027
(b). 90,00,018
(c). 90,00,003
(d). 90,00,000
Ans. (d). 90,00,000
Solution:
In the given numeral, 3 is present at ten lakh place.
So, the local value of 3 is,
=3×1000000
=30,00,000
 
And, the face value of 3 is,
=3
[As the face value of any number is the number itself]
 
Now, according to the question, the product of local value and the face value of 3 is,
= (Local Value) × (Face Value)
= 3000000×3
= 90,00,000
 
So, product of local value and the face value of 3 in the given numeral is 90,00,000.
 
 
 
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