Olympiad Mathematics - Whole Numbers
Exam Duration: 45 Mins Total Questions : 30
Which of the following is a correct statement?
- (a)
N = W
- (b)
N \(\subset \) W
- (c)
W \(\subset \) N
- (d)
N \(\cong \) W
What is the additive identity element of 24?
- (a)
1/24
- (b)
1
- (c)
0
- (d)
24
Choose the successor of 301,999 from the following.
- (a)
30, 200
- (b)
302, 000
- (c)
302,010
- (d)
301, 100
6 (7 \(\times\) 3) = (6 \(\times\) 7) \(\times\) 3 is an example of which property with respect to multiplication?
- (a)
Associative property.
- (b)
Closure property
- (c)
Commutative property.
- (d)
Distributive property.
Closure property is satisfied by whole numbers with respect to which of these operations?
- (a)
Addition and Subtraction
- (b)
Addition and Division
- (c)
Addition and Multiplication.
- (d)
Multiplication and Division.
What is the quotient of 64 \(\div \)1?
- (a)
1
- (b)
0
- (c)
46
- (d)
64
What is the predecessor of natural number 1?
- (a)
0
- (b)
2
- (c)
10
- (d)
Does not exist
Which property is represented by a + b = c (a whole number) with respect to addition?
- (a)
Associative property.
- (b)
Commutative property.
- (c)
Closure property.
- (d)
Additive identity.
If 'a' and 'b' are two whole numbers, then under what condition is the commutative law applicable to subtraction?
- (a)
a = b
- (b)
a \(\neq \) b
- (c)
a > b
- (d)
a < b
Which property is satisfied by the division of whole numbers?
- (a)
Closure property.
- (b)
Commutative property.
- (c)
Associative property.
- (d)
Neither (A) nor (B) nor (C).
On dividing 55,390 by 299, the remainder is 75. What is the quotient?
- (a)
195
- (b)
185
- (c)
175
- (d)
193
If 'a' and 'b' are whole numbers then which of the following is true?
- (a)
a \(\div \) b is a whole number.
- (b)
a \(\div \) b = b \(\div \) a.
- (c)
Both (A) and (B).
- (d)
Neither (A) nor (B).
Which of the following is the zero property of addition?
- (a)
13 \(\times\) 0 = 0
- (b)
13 + 0 = 13
- (c)
13 \(\div \) 13 = 1
- (d)
0 + 13 = 0
Which of the following symbols in order must be introduced in the blanks to make the given sentence true?
43 __________ 1 = 47_________3
- (a)
+, \(\times\)
- (b)
-, +
- (c)
\(\times\), +
- (d)
+, -
Anu: 6 \(\times\) 8 = 8 \(\times\) 6 is an example for commutativity of whole numbers under multiplication.
Bina: 6 + 8 = 8 + 6 is an example for associativity of whole numbers under addition.
Who is right?
- (a)
Only Anu.
- (b)
Only Bina.
- (c)
Neither of them.
- (d)
Both of them.
Statement-I: Except zero, all whole numbers are natural numbers.
Statement-II: Zero is the only whole number.
- (a)
Statement I is true.
- (b)
Statement II is true.
- (c)
Both the statements are true.
- (d)
Neither of the statements is true.
As we move to the left on a whole number line, how does the value of a number change?
- (a)
Increases by 1.
- (b)
Decreases by 10.
- (c)
Increases by 10.
- (d)
Decreases by 1.
1730, __________, ________, 1739, 1742 are in a sequence. Which of the following options provides the values in the blanks?
- (a)
1734, 1737
- (b)
1731, 1738
- (c)
1733,1736
- (d)
1727, 1724
P and Q are whole numbers such that P = Q.Then which of the following is true?
- (a)
P + Q = Q
- (b)
P + Q = P
- (c)
P + Q = Q + P \(\div \) 0
- (d)
P - Q = Q - P
Which number should come next in the series given? 7, 10, 15, 22, 31, ?
- (a)
55
- (b)
42
- (c)
41
- (d)
87
Four students simplify the expression below. (6 + 4 \(\times\) 5) \(\div \) 2 Anshu's solution is 25, David's solution is 46, Jimmy's solution is 13, and Lahari's solution is 16. Who simplified the expression correctly?
- (a)
Anshu
- (b)
David
- (c)
Jimmy
- (d)
Lahari
The property satisfied by the division of whole numbers is________
- (a)
Closure property
- (b)
Commutative property
- (c)
Associative property
- (d)
None of these
Which of the following options will replace the '?' Place value of 3 in 6,380,942 (?) Place value of 3 in 7,389,426
- (a)
\(>\)
- (b)
\(<\)
- (c)
=
- (d)
None of these
The successor of 100199 is
- (a)
100198
- (b)
900109
- (c)
100200
- (d)
100991
Which of the following is NOT true?
- (a)
(7 + 8) + 9 = 7 + (8 + 9)
- (b)
(7 x 8) x 9 = 7 x (8 x 9)
- (c)
7 + 8 x 9 = (7 + 8) x (7 + 9)
- (d)
7 x (8 + 9) = (7 x 8) + (7 x 9)
What does the given number line represent?
- (a)
2 x 8
- (b)
2 x 4
- (c)
8 + 2
- (d)
8 - 2
Mihika makes 8 gift packs containing chocolates for Diwali. She puts 12 vanilla chocolates, 14 milk chocolates and 8 nut chocolates in each pack. With the help of which property, can you calculate the total number of chocolates in 8 packs?
- (a)
Commutative property
- (b)
Associative property
- (c)
Distributive property
- (d)
None of these
State T for true and 'F' for false.
I. If a'whole number is divided by another whole number which is greater than first one, then the quotient is not equal to zero
II.Sum of two whole numbers is always less than their product
III. Whole numbers are not closed under multiplication.
- (a)
I II III T T T - (b)
I II III T F F - (c)
I II III T T F - (d)
I II III F T T
Study the following statements carefully and select the correct option
Statement-1 : Addition and multiplication are commutative for whole numbers
Statement-2 : Division of whole numbers is distributive over addition. = a + (b+ c) under addition (A) 80th Statement-
- (a)
80th Statement-1 and Statement-2 are true.
- (b)
Statement-1 is true but Statement-2 is false.
- (c)
Statement-1 is false but Statement-2 is true.
- (d)
80th Statement-1 and Statement-2 are false.
Match the following.
Column-I | Column-II |
(i)The smallest whole number is | (p) 6 |
(ii) The natural number that has no predecessor is | (q) 0 |
(iii) When 2 is added 3 times, to the smallest whole number gives | (r) 1 |
- (a)
(i) (ii) (iii) p r q - (b)
(i) (ii) (iii) r q P - (c)
(i) (ii) (iii) q p r - (d)
(i) (ii) (iii) q r p