Complete guide to "Integers" for Math students. Below you will find important questions and model answers to help you prepare.
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Madhre is standing in the middle of a bridge which is 20 m above the water level of a river. If a 35 m deep river is flowing under the bridge (see following figure), then the vertical distance between the foot of Madhre and bottom level of the river is:
55 m
35 m
20 m
15 m
[(– 10) × (+ 9)] + (– 10) is equal to
100
-100
-80
80
–16 ÷ [8 ÷ (–2)] is equal to
-1
1
4
-4
Identify correct value of * to make the statements true (– 25) × 30 = – 30 × *
30
-30
25
-25
Identify correct value of _______ to make the statements true 75 ÷ _______ = – 75
75
-75
1
-1
Find the odd one out of the four options in the following:
(–2, 24)
(–3, 10)
(–4, 12)
(–6, 8)
All the pairs i.e. (–2, 24); (–4, 12); (–6, 8) give same answer on multiplication, whereas –3 × 10 = –30, gives a different answer. So, odd one is (–3, 10)
Find the odd one out of the four options given below:
(–3, –6)
(+1, –10)
(–2, –7)
(–4, –9)
All of these pairs i.e. (–3, –6); (+1, –10); (–2, –7) give same answer on adding, whereas – 4 + (–9) = –13, gives a different answer. So, odd one out is (–4, –9).
Write a pair of integers whose sum is zero (0) but difference is 10.
The required pair of integers is 5 and -5. Their sum is 5 + (-5) = 0, and their difference is 5 - (-5) = 10.
Write two integers which are smaller than –3, but their difference is greater than –3.
Two integers smaller than -3 are -4 and -5. Their difference is -4 - (-5) = 1, which is greater than -3.
Write a pair of integers whose product is – 15 and whose difference is 8.
The pair of integers is 3 and -5. Their product is 3 × (-5) = -15, and their difference is 3 - (-5) = 8.
If && is an operation such that for integers a and b we have a && b = a × a + b × b – a × b, then find (–3) && 2.
Given . For and , we get: .
In an objective type test containing 25 questions. A student is to be awarded +5 marks for every correct answer, –5 for every incorrect answer and zero for not writing any answer. Mention the ways of scoring 110 marks by a student.
A student can score 110 marks in two ways: 1. 22 correct, 0 incorrect, and 3 unattempted. 2. 23 correct, 1 incorrect, and 1 unattempted.
A boy standing on the third stair on a staircase goes up by five more stairs. Which stair is he standing at now? At which step will he be after he comes down by 2 stairs?
The boy is now at the 8th stair (3 + 5 = 8). After coming down by 2 stairs, he will be at the 6th stair (8 - 2 = 6).
When the integers 10, 0, 5, – 5, – 7 are arranged in descending or ascending order, them find out which of the following integers always remains in the middle of the arrangement.
0
5
-7
-5
By observing the number line in following figure, state which of the following statements is not true.
B is greater than –10
A is greater than 0
B is greater than A
B is smaller than 0
By observing the following number line, state which of the following statements is true.
B is 2
A is – 4
B is –13
B is – 4
Next three consecutive numbers in the pattern 11, 8, 5, 2, --, --, -- are
0, – 3, – 6
– 1, – 5, – 8
– 2, – 5, – 8
– 1, – 4, – 7
The next number in the pattern – 62, – 37, – 12 _________ is
25
13
0
-13
Which of the following statements is not true?
When two positive integers are added, we always get a positive integer.
When two negative integers are added we always get a negative integer.
When a positive integer and a negative integer is added we always get a negative integer.
Additive inverse of an integer 2 is (–2) and additive inverse of (–2) is 2.
On the following number line value ‘Zero’ is shown by the point
X
Y
Z
W
If X, Y, Z and W represent some integers on number line, then descending order of these numbers is
X, Y, Z, W
W, Z, Y, X
Y, X, W, Z
Z, Y, X, W