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question_answer1)
What is the name given to the combined set of negative of natural numbers and whole numbers?
A)
Natural Number done
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B)
Integers done
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C)
Positive Numbers done
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D)
The set of whole numbers done
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question_answer2)
Where are the negative numbers located on a horizontal number line?
A)
On the right of\[-1~~\] done
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B)
On the left of 0 done
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C)
On the left of\[+1\] done
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D)
None of these done
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question_answer3)
Which of the following is the smallest positive integer?
A)
0 done
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B)
0.1 done
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C)
1 done
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D)
\[-1\] done
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question_answer4)
There are two integers X and Y such that S and T are their additive inverse respectively, then |X| + |Y| + |S| + |T| is equal to
A)
\[|X|\] done
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B)
\[|Y|+|S|\] done
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C)
\[2|X|+\,\,2|Y|\] done
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D)
\[|X|+|Y|\] done
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question_answer5)
What is the representation of 10 km towards the west?
A)
10 km east done
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B)
\[-\text{ }10\]km done
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C)
10 km done
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D)
10 done
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question_answer6)
The letter X represents which number?
A)
58 done
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B)
60-6 done
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C)
62 done
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D)
97-20 done
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question_answer7)
Which of the following statement is correct?
A)
The sum of two negative integers is always a negative integer. done
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B)
The difference between two negative integers is always a positive integer. done
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C)
The difference between two positive integers is always a positive integer. done
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D)
All of these done
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question_answer8)
The given number line shows the marks obtained by five students in a competitive exam. Some students even scored negative marks due to the system of negative marking in the test.
How many marks did Ajay score over Ramesh?
A)
24 done
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B)
23 done
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C)
18 done
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D)
None of these done
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question_answer9)
Which is the nature of the product of a negative integer by itself, odd number of times?
A)
Positive done
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B)
Negative done
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C)
Non negative done
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D)
None of these done
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question_answer10)
What is the nature of the product of a negative number by itself even number of times?
A)
Negative done
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B)
0 done
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C)
Positive done
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D)
None of these done
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question_answer11)
How is the withdrawal of Rs. 500 represented?
A)
Depositing Rs.500 done
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B)
- Rs. 500 done
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C)
Rs. 500 done
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D)
- 500 done
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question_answer12)
What is the opposite of earning Rs. 50?
A)
+ Rs. 50 done
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B)
Profit of Rs. 50 done
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C)
Gain of Rs. 50 done
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D)
Spending Rs. 50 done
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question_answer13)
In the product shown, A is a digit. The value of A is
A)
5 done
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B)
7 done
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C)
6 done
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D)
8 done
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question_answer14)
In the sequence of numbers 5, 8,13, A, 34, 55, 89 the value of A is
A)
16 done
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B)
21 done
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C)
18 done
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D)
None of these done
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question_answer15)
Match the following.
| Column-P | | Column-Q |
(i) | \[(132)\div (-6)\] | (a) | 49 |
(ii) | \[(-144)\div (+16)\] | (b) | 8 |
(iii) | \[(-\,32)\div (-\,4)\] | (c) | (-9) |
(iv) | \[(392)\div (8)\] | (d) | (-22) |
A)
(I) - (b), (II) - (a), (III) - (c), (IV) - (d) done
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B)
(I) - (a), (II) - (b), (III) - (d), (IV) - (c) done
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C)
(I) - (d), (II) - (c), (III) - (b), (IV) - (a) done
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D)
(I) - (c), (II) - (d), (III) - (a), (IV) - (b) done
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question_answer16)
Which one of the following is equivalent to the expression \[\left( {{5}^{6}} \right)\text{ }\left( {{10}^{3}} \right)?\]
A)
\[8\times {{5}^{9}}~~\] done
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B)
\[{{5}^{11}}~~\] done
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C)
\[80\times {{5}^{8}}~\] done
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D)
\[{{5}^{10}}\] done
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question_answer17)
With respect to which of the following operations is closure property satisfied by the set of integers?
A)
\[+,\times ~\] done
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B)
\[+,-,\times ,\div \] done
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C)
\[+,\times ,-\] done
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D)
\[+,-,\div ~\] done
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question_answer18)
If the dividend and the divisor have like signs, what is the sign of the quotient?
A)
Positive done
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B)
Negative done
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C)
Zero done
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D)
Indeterminate done
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question_answer19)
Which alternative correctly shows the associative property of integers under addition?
A)
\[\left\{ \left( -10 \right)\times 6 \right\}+3=(-10)+2\times 6+3\] done
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B)
\[\left\{ \left( -9 \right)+6 \right\}+2=(-9)+\left\{ 6+2 \right\}\] done
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C)
\[\left( -9 \right)\times 6=6\times (-9)\] done
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D)
All of these done
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question_answer20)
If the expression \[[(-\,43)\times 109]\] can also be written as\[[a\,+\,(-\,387)]\], then what is the value of a?
A)
\[-\,4500\] done
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B)
\[-\,4300\] done
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C)
\[-\,\,4587\] done
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D)
\[-\,\,4200\] done
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question_answer21)
Polymers are known to contract and expand with a decreases and increase in temperature (respectively). With every \[{{5}^{o}}C\] decrease in temperature, the length of a polymeric rod decreases by 8mm, and with every \[{{5}^{o}}C\] increase in temperature, its length increases by 10 mm. A rod was taken at room temperature. Its temperature was first lowered to \[{{20}^{o}}C\] below room temperature and its length was noted down. Its temperature was then increased to \[{{15}^{o}}C\] above room temperature and its length was again noted down. What was the difference between the lengths of the rod that were noted down at the beginning and end of the experiment?
A)
17 mm done
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B)
51 mm done
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C)
52 mm done
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D)
2 mm done
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question_answer22)
What is the additive identity for the set of integers?
A)
0 done
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B)
\[\left( -1 \right)~\] done
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C)
1 done
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D)
+101 done
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question_answer23)
If a negative sign precedes a bracket, what happens to the terms inside it?
A)
Their signs are changed. done
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B)
The terms are reciprocated. done
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C)
Both (a) & (b) done
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D)
The terms are quadrupled. done
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question_answer24)
Which of the following orders of brackets is used while evaluating an expression?
A)
\[\left[ {} \right],\left( {} \right),\left\{ {} \right\}\] done
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B)
\[\left\{ {} \right\},\left( {} \right),\left[ {} \right]\] done
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C)
\[\left( {} \right),\left\{ {} \right\},\left[ {} \right]\] done
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D)
\[\left( {} \right),\left[ {} \right],\left\{ {} \right\},\] done
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question_answer25)
What is the value of the expression \[10+[13-\{-2-6\,(6\,\,of\,-5)\}]\]
A)
\[-155\] done
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B)
170 done
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C)
176 done
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D)
\[-\,175\] done
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question_answer26)
Over which of the following operations is multiplication distributed in the set of integers?
A)
\[-,\div \] done
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B)
\[-,\times ,\div \] done
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C)
\[+,-\] done
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D)
\[\times ,\div ,+\] done
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question_answer27)
A man walked 2 km towards North then 7 km towards South. What is his final position with respect to his initial position?
A)
5 km towards East done
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B)
3 km towards South done
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C)
8 km towards North done
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D)
5 km towards South done
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question_answer28)
In a class test, positive marks were given for correct answers and negative marks for incorrect answers. If scores in five successive rounds of a boy were 25, -6, 19, -3 and 26, what is his total score at the end?
A)
26 done
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B)
61 done
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C)
51 done
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D)
\[-1\] done
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question_answer29)
The value of \[|9|+|6|-|-9|-|-4|+15\times 5,\] is,
A)
17 done
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B)
73 done
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C)
77 done
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D)
None of these done
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question_answer30)
A certain freezing process requires that room temperature be lowered from \[{{40}^{o}}C\] at the rate of \[{{5}^{o}}C\] every hour. What is the room temperature after 10 hours?
A)
\[-\,46{}^\circ C~\] done
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B)
\[-18{}^\circ C\] done
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C)
\[-10{}^\circ C\] done
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D)
\[-25{}^\circ C\] done
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question_answer31)
In a class test containing 10 questions, 3 marks are awarded for every correct answer and (-1) mark is awarded for every incorrect answer and 0 for the questions not attempted, Siddharth gets three correct and six incorrect answers out of nine questions he attempts. What is his total score?
A)
3 done
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B)
6 done
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C)
\[-2\] done
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D)
8 done
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question_answer32)
A man descends into an underground floor at the rate of 6 metres per minute. If the descent start from 10 metres above the ground level, how much time will it take to descend 230 metres below the ground?
A)
30 minutes done
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B)
50 minutes done
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C)
40 minutes done
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D)
1 hour 30 minutes done
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question_answer33)
Which of the following statements holds correct?
A)
\[N\subset W\subset Z\] done
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B)
\[Z\subset N\subset W\] done
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C)
\[W\subset N\subset Z\] done
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D)
\[Z\subset W\subset N\] done
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question_answer34)
The quotient of two numbers is \[\left( -15 \right)~\]. If one of the numbers is \[\left( -360 \right),~\]what is the other number?
A)
24 done
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B)
15 done
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C)
\[-40\] done
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D)
\[-60\] done
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question_answer35)
Which of the following relations is correct?
A)
\[|-26|+\left\{ 3-|2| \right\}=\,|26|+\left\{ |-3|+|-2| \right\}\] done
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B)
\[\left( 15\div 3 \right)\times 4=15\div \left( 3\times 4 \right)\] done
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C)
\[\left\{ \left( -20 \right)\div 10 \right\}\div 4=(-\,20)\div (10\div 4)\] done
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D)
\[\left\{ \left( 4\times 6 \right)\times 7-2 \right\}=\left\{ 6\times \left( 4\times 7 \right)-|-2| \right\}\] done
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question_answer36)
For what values of \[a\] and \[b\] does the expression, \[[12+(-\,5)]+a=b+[(-\,5)+(-\,8)]\] show the associative property of integers under addition?
A)
\[8\text{ }and\text{ 1}2\] done
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B)
\[-\,8\text{ }and\text{ 1}2~\] done
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C)
\[12\text{ }and\text{ }8\] done
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D)
\[-12\text{ }and\text{ }8~\] done
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question_answer37)
Which of the following expression is equivalent to the expression\[-523\times 311+\left( -289 \right)\times 523~\]
A)
\[523\times 500~\] done
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B)
\[-523\times 600\] done
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C)
\[\left( -523 \right)\times 22\] done
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D)
None of these done
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question_answer38)
Which of the following equations is correct?
A)
\[(-3)\times (-16)\times (-1)=-48\] done
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B)
\[3\times 24\times (-1)=72\] done
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C)
\[(-2)\times (-4)\times 9=-72\] done
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D)
\[(-2)\times (-6)\times (-9)=108\] done
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question_answer39)
Which of the following statements is correct?
A)
The product of 6 negative integers is a negative integer. done
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B)
The product of 6 negative integers and 3 positive integers is negative. done
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C)
The product of4 negative integers and 5 positive integers is positive. done
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D)
The product of 2 negative integers and 2 positive integers in negative. done
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question_answer40)
The expression \[[(-101)\times (-19)]\] can be re-written as which of the following expression?
A)
\[2000-80-1\] done
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B)
\[-2000-84~\] done
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C)
\[2100+19~\] done
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D)
\[2100+19-1\] done
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