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question_answer1)
For any two rational numbers x and y which of the following is/are correct, if x is positive and y is negative?
(1) \[x<y\] |
(2) \[x=y\] |
(3) \[x>y\] |
A)
Both 1 and 2 done
clear
B)
Both 2 and 3 done
clear
C)
Only 3 done
clear
D)
1, 2 and 3 done
clear
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question_answer2)
Which of the following statements is true?
A)
1 and -1 are reciprocal of themselves. done
clear
B)
Zero has no reciprocal. done
clear
C)
The product of two rational numbers is a rational number. done
clear
D)
All of these done
clear
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question_answer3)
The average of the two middle rational numbers, if \[\frac{4}{7},\frac{1}{3},\frac{2}{3},\frac{5}{9}\] are arranged in ascending order is ____.
A)
\[\frac{4}{9}\] done
clear
B)
\[\frac{71}{63}\] done
clear
C)
\[\frac{2}{9}\] done
clear
D)
\[\frac{71}{126}\] done
clear
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question_answer4)
The value of x such that \[-\frac{3}{8}\] and \[\frac{x}{-24}\] are equivalent rational numbers is____.
A)
64 done
clear
B)
\[-64\] done
clear
C)
\[-9\] done
clear
D)
9 done
clear
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question_answer5)
The product of two rational numbers is \[\frac{-9}{16}.\] If one of the numbers is \[\frac{-4}{3},\] then the other number is ____.
A)
\[\frac{36}{48}\] done
clear
B)
\[\frac{25}{64}\] done
clear
C)
\[\frac{27}{49}\] done
clear
D)
\[\frac{27}{64}\] done
clear
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question_answer6)
A rational number \[\frac{-2}{3}\]
A)
Lies to the left side of 0 on the number line. done
clear
B)
Lies to the right side of 0 on the number line. done
clear
C)
Is not possible to represent on the number line. done
clear
D)
None of these done
clear
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question_answer7)
If p: every fraction is a rational number and q: every rational number is a fraction, then which of the following options hold?
A)
p is true and q is false. done
clear
B)
p is false and q is true. done
clear
C)
Both p and q are true. done
clear
D)
Both p and q are false. done
clear
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question_answer8)
If \[\frac{x}{y}=\frac{9}{8},\] then the value of \[\left( \frac{6}{7}+\frac{y-x}{y+x} \right)\]equals.
A)
\[\frac{9}{119}\] done
clear
B)
\[\frac{95}{119}\] done
clear
C)
\[\frac{19}{119}\] done
clear
D)
\[1\frac{9}{119}\] done
clear
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question_answer9)
Fill in the blanks. The P consist of natural numbers, zero and negative of natural numbers. Zero is called the Q. R is called the multiplicative identity.
A)
B)
C)
D)
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question_answer10)
Which of the following sum is in the simplest form?
A)
\[\frac{4}{9}+\frac{-5}{9}\] done
clear
B)
\[\frac{-2}{5}+\frac{13}{20}\] done
clear
C)
\[\frac{-5}{12}+\frac{11}{-12}\] done
clear
D)
\[\frac{-7}{8}+\frac{1}{12}+\frac{2}{3}\] done
clear
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question_answer11)
Simplify: \[\frac{\left( -18\frac{1}{3}\times 2\frac{8}{11} \right)-\left( 4\frac{5}{7}\times 2\frac{1}{3} \right)}{\left| \frac{3}{5}+\left( \frac{-9}{10} \right) \right|+\left| \left( \frac{-3}{5} \right) \right|}\]
A)
\[63\frac{4}{81}\] done
clear
B)
\[-23\frac{7}{9}\] done
clear
C)
\[-67\frac{7}{9}\] done
clear
D)
\[12\frac{6}{17}\] done
clear
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question_answer12)
Which number line correctly shows the rational number\[\left( -\frac{2}{9}+\frac{1}{9} \right)\] ?
A)
B)
C)
D)
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question_answer13)
Which of the following options is arranged in descending order?
A)
\[\frac{1}{4},\frac{6}{4},\frac{16}{9},\frac{25}{4}\] done
clear
B)
\[\frac{-3}{6},\frac{-4}{3},\frac{-9}{4},\frac{-13}{4}\] done
clear
C)
\[\frac{-5}{8},\frac{-3}{8},\frac{0}{8},\frac{1}{8}\] done
clear
D)
\[\frac{-7}{4},\frac{-3}{4},\frac{5}{4},\frac{8}{3}\] done
clear
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question_answer14)
Which of the following options are equivalent rational numbers?
A)
\[\frac{1}{4}\]and \[\frac{-4}{-16}\] done
clear
B)
\[\frac{-2}{3}\]-and \[\frac{8}{12}\] done
clear
C)
\[\frac{12}{15}\] and \[\frac{10}{18}\] done
clear
D)
\[\frac{27}{54}\] and \[\frac{3}{2}\] done
clear
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question_answer15)
Divide the sum of \[\frac{5}{12}\]and \[\frac{-17}{24}\] by the product of \[\frac{2}{5}\] and \[\frac{7}{4}\]. What is the result?
A)
\[\frac{-8}{37}\] done
clear
B)
\[\frac{-5}{12}\] done
clear
C)
\[\frac{6}{31}\] done
clear
D)
\[\frac{3}{12}\] done
clear
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question_answer16)
A box is to be filled with mangoes, each; weighing \[\frac{1}{10}\]kg. The weight of the box; should not exceed \[\frac{3}{5}\] kg. Find the maximum number of mangoes that can be put inside the box.
A)
6 done
clear
B)
7 done
clear
C)
8 done
clear
D)
4 done
clear
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question_answer17)
A farmer grows vegetables in his field. In \[\frac{2}{3}\]of the field, he grows potatoes, in \[\frac{1}{4}\]he grows onions and in the rest of the field he grows tomatoes. In what part of the field does he grow tomatoes?
A)
\[\frac{1}{12}\] done
clear
B)
\[\frac{11}{12}\] done
clear
C)
\[\frac{3}{4}\] done
clear
D)
\[\frac{1}{6}\] done
clear
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question_answer18)
\[\frac{3}{20}\] of a delegation are from India, \[\frac{1}{4}\] are from Britain, \[\frac{3}{10}\] are from Germany and the rest are Americans. If there are 1200 members in the delegation, calculate how many Americans are there?
A)
460 done
clear
B)
400 done
clear
C)
360 done
clear
D)
300 done
clear
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question_answer19)
Three friends Neena, Asha and Mehak divided a packet of rice weighing \[87\frac{1}{2}\] kg equally. How many kgs of rice did each get?
A)
\[29\frac{1}{6}\,kg\] done
clear
B)
\[33\frac{1}{6}\,kg\] done
clear
C)
\[\frac{173}{6}\,kg\] done
clear
D)
\[\frac{177}{6}\,kg\] done
clear
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question_answer20)
From his home, Rahul walk \[\frac{6}{7}\]km towards school and then returns \[\frac{5}{6}\]km on the same way towards his home to reach a landmark. At what distance will he be now from his home?
A)
\[\frac{1}{42}km\] done
clear
B)
\[\frac{1}{43}km\] done
clear
C)
\[\frac{30}{42}km\] done
clear
D)
\[\frac{11}{42}km\] done
clear
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question_answer21)
Match the following.
Column-I | Column-II |
(i) Divide the sum of \[\frac{12}{5}\]and \[\frac{13}{7}\]by the product of \[\frac{-4}{7}\] and \[\frac{-1}{2}\] The result obtained is | (p) \[\frac{7}{10}\] |
(ii) Niharika spent \[\frac{3}{4}\]of her pocket money. She spent \[\frac{1}{2}\]of it on a book, \[\frac{1}{6}\] on a movie and rest for a dress. ___ part of her pocket money she spend on the dress. | (q) \[3\frac{19}{28}\] |
(iii) If 35 shirts of equal size can be stitched from \[\frac{49}{2}\] metres of cloth. The length (in m) of doth required for each shirt is | |
(r) 14? |
(iv) Two packets of chocolates weigh \[\frac{9}{4}\] kg and \[\frac{10}{7}\] kg respectively. The total weight (in kg) of the chocolates is | (s) \[\frac{1}{4}\] |
A)
(i)\[\to \](p); (ii)\[\to \](q); (iii)\[\to \](r); (iv)\[\to \](s) done
clear
B)
(i)\[\to \](r); (ii)\[\to \](s); (iii)\[\to \](p); (iv)\[\to \](q) done
clear
C)
(i)\[\to \](p); (ii)\[\to \](r); (iii)\[\to \](s); (iv)\[\to \](q) done
clear
D)
(i)\[\to \](r); (ii)\[\to \](p); (iii)\[\to \](s); (iv)\[\to \](q) done
clear
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question_answer22)
Which of the following options hold?
(1) Every integer is a rational number and every fraction is a rational number. |
(2) A rational number \[\frac{p}{q}\] is positive if p and q are either both positive or both negative. |
(3) A rational number \[\frac{p}{q}\] is negative if one of p and q is positive and other is negative. |
(4) If there are two rational numbers with common denominator then the one with the larger numerator is larger than the other. |
A)
Both 1 and 4 are correct done
clear
B)
Both 2 and 3 are incorrect done
clear
C)
Only 1 is correct done
clear
D)
All are correct done
clear
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question_answer23)
Study the following statements.
Statement 1: Rational numbers are always closed under division. |
Statement 2: Division by zero is not defined. |
Which of the following options hold?
A)
Both Statement -1 and Statement - 2 are true. done
clear
B)
Statement -1 is true but Statement - 2 is false. done
clear
C)
Statement -1 is false but Statement - 2 is true. done
clear
D)
Both Statement" 1 and Statement - 2 are false. done
clear
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question_answer24)
State T for true and T' for false.
(i) Every rational number can be expressed with a positive numerator. |
(ii) \[\frac{3}{11}\] cannot be represented as a non-terminating repeating decimal. |
(iii) If \[\frac{p}{q}\]and \[\frac{r}{s}\]are two terminating decimals, then \[\frac{p}{q}\times \frac{r}{s}\] is also a terminating decimal. |
(iv) If \[\frac{p}{q}\] is a non-terminating repeating decimal and \[\frac{r}{s}\] is a terminating decimal, then \[\left( \frac{p}{q}\div \frac{r}{s} \right)\] is a terminating decimal, |
A)
B)
C)
D)
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question_answer25)
Fill In the blanks.
(i) The number P is neither positive nor negative rational number. |
(ii) There are Q number of rational numbers between two rational numbers, |
(iii) A rational number is defined as a number which can be expressed in the form of \[\frac{p}{q},\] where p and q are R and q is not equal to S. |
A)
B)
C)
D)
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