question_answer1) Divide the sum of \[\frac{65}{12}\] and \[\frac{12}{7}\] by their difference.
A) \[\frac{599}{311}\] done clear
B) \[\frac{680}{216}\] done clear
C) \[\frac{642}{133}\] done clear
D) \[\frac{501}{301}\] done clear
View Solution play_arrowA) \[\frac{24}{5}\] done clear
B) \[-\frac{24}{5}\] done clear
C) \[25\] done clear
D) \[-25\] done clear
View Solution play_arrowA) \[\frac{2}{5}\] done clear
B) \[\frac{8}{17}\] done clear
C) \[-\frac{2}{3}\] done clear
D) \[-\frac{4}{3}\] done clear
View Solution play_arrowquestion_answer4) If \[a=7,\] then the value of \[-\left( \frac{1-2a}{a-5} \right)\] is____.
A) \[-\frac{13}{2}\] done clear
B) \[-\frac{15}{2}\] done clear
C) \[\frac{13}{2}\] done clear
D) \[\frac{15}{2}\] done clear
View Solution play_arrowquestion_answer5) Which of the following statements is TRUE?
A) Every point on the number line represents a rational number. done clear
B) The product of a rational number and its reciprocal is 0. done clear
C) \[{{(17\times 12)}^{-1}}={{17}^{-1}}\times 12\] done clear
D) Reciprocal of \[\frac{1}{a},a\ne 0\] is a. done clear
View Solution play_arrowquestion_answer6) The multiplicative inverse of \[-\frac{a}{b}\] is______.
A) \[\frac{a}{b}\] done clear
B) \[\frac{b}{a}\] done clear
C) \[-\frac{b}{a}\] done clear
D) None of these done clear
View Solution play_arrowA) Commutativity of addition done clear
B) Associativity of multiplication done clear
C) Distributivity of multiplication over addition done clear
D) Distributivity of addition over multiplication done clear
View Solution play_arrowquestion_answer8) If \[x=\frac{2+3\times 2}{-5}\], then \[|-x|\] is equal to_____.
A) \[\frac{8}{5}\] done clear
B) \[-\frac{8}{5}\] done clear
C) \[0\] done clear
D) \[1\] done clear
View Solution play_arrowquestion_answer9) Which of the following options is true?
A) \[\frac{5}{7}<\frac{7}{9}<\frac{9}{11}<\frac{11}{13}\] done clear
B) \[\frac{11}{13}<\frac{9}{11}<\frac{7}{9}<\frac{5}{7}\] done clear
C) \[\frac{5}{7}<\frac{11}{13}<\frac{7}{9}<\frac{9}{11}\] done clear
D) \[\frac{5}{7}<\frac{9}{11}<\frac{11}{13}<\frac{7}{9}\] done clear
View Solution play_arrowA) \[\frac{3}{8}\] done clear
B) \[\frac{7}{16}\] done clear
C) \[\frac{1}{4}\] done clear
D) \[\frac{13}{32}\] done clear
View Solution play_arrowA) \[-\frac{177}{286}\] done clear
B) \[-\frac{303}{40}\] done clear
C) \[\frac{289}{492}\] done clear
D) \[\frac{17}{24}\] done clear
View Solution play_arrowA) \[-\frac{6}{13}\] done clear
B) \[\frac{1}{4}\] done clear
C) \[\frac{2}{7}\] done clear
D) \[-\frac{1}{8}\] done clear
View Solution play_arrowA) \[\frac{-2}{3}\] done clear
B) \[\frac{-41}{10}\] done clear
C) \[\frac{39}{5}\] done clear
D) \[\frac{41}{10}\] done clear
View Solution play_arrowA) \[\frac{15}{2}\] done clear
B) \[-\frac{13}{5}\] done clear
C) \[\frac{17}{6}\] done clear
D) \[-\frac{11}{6}\] done clear
View Solution play_arrowA) \[\frac{7}{13}\] done clear
B) \[-\frac{11}{15}\] done clear
C) \[-\frac{2}{11}\] done clear
D) \[\frac{5}{8}\] done clear
View Solution play_arrowA) 20 done clear
B) 24 done clear
C) 26 done clear
D) 16 done clear
View Solution play_arrowA) Rs.7120 done clear
B) Rs.5250 done clear
C) Rs.5520 done clear
D) Rs.6562.50 done clear
View Solution play_arrowA) \[\frac{\text{4}}{\text{5}}\text{cup}\] done clear
B) \[\frac{6}{\text{5}}\text{cup}\] done clear
C) \[\frac{3}{8}\text{cup}\] done clear
D) \[\frac{\text{5}}{\text{8}}\text{cup}\] done clear
View Solution play_arrowquestion_answer19) The wingspans of different species of birds is given below.
Species of birds | Blue jay | Golden eagle | Seagull | Albatross |
Length of wingspans | \[\frac{41}{100}m\] | \[2\frac{1}{2}m\] | \[1\frac{7}{10}m\] | \[3\frac{3}{5}m\] |
A) \[\frac{209}{100}cm\] done clear
B) \[\frac{209}{100}m\] done clear
C) \[\frac{9}{100}m\] done clear
D) \[\frac{215}{100}cm\] done clear
View Solution play_arrowA) 180 done clear
B) 200 done clear
C) 225 done clear
D) 230 done clear
View Solution play_arrowquestion_answer21) Which of the following options is INCORRECT?
A) The rational number 0 is the additive identity for rational numbers. done clear
B) The additive inverse of the rational number a/b is - a/b and vice-versa. done clear
C) Rational numbers are closed under the operations of subtraction, multiplication and division. done clear
D) There are infinite rational numbers between any two rational numbers. done clear
View Solution play_arrowquestion_answer22) Match the following.
Column - I | Column - II |
(P) Product of a rational number and its reciprocal is | (i) -1 |
(Q) If \[\frac{12}{30}\] and \[\frac{x}{5}\] are equivalent, then \[x=\] | (ii) 0 |
(R) \[\left[ \frac{8}{21}\div \left( \frac{-32}{39}\div \frac{16}{13} \right) \right]\times \frac{7}{4}=\] | (iii) 2 |
(S) Sum of a rational number and its additive inverse is | (iv) 1 |
A) (P)\[\to \](iv): (Q)\[\to \](iii); (R)\[\to \](i); (S)\[\to \](ii) done clear
B) (P)\[\to \](i); (Q)\[\to \](iii): (R)\[\to \](iv); (S)\[\to \](ii) done clear
C) (P)\[\to \](iv): (Q)\[\to \](iii); (R)\[\to \](ii): (S)\[\to \](i) done clear
D) (P)\[\to \](i); (Q)\[\to \](iv); (R)\[\to \](iii); (S)\[\to \](ii) done clear
View Solution play_arrowquestion_answer23) Fill in the blanks.
(i) O is neither P nor Q . |
(ii) R has/have no reciprocal. |
(iii) The rational numbers S and T are equal to their reciprocal. |
A)
P | Q | R | S | T |
Positive | Negative | 1 | 1/2 | -1/2 |
B)
P | Q | R | S | T |
Integer | Rational | 0 | -1 | 0 |
C)
P | Q | R | S | T |
Positive | Negative | 0 | 1 | -1 |
D)
P | Q | R | S | T |
Natural | Integer | -1 | 1 | -1 |
question_answer24) Which of the following options holds?
Statement 1: Rational numbers are closed under division. |
Statement 2: The value of \[\left( \frac{-7}{18}\times \frac{15}{-7} \right)-\left( 1\times \frac{1}{4} \right)+\left( \frac{1}{2}\times \frac{1}{4} \right)\] is \[\frac{17}{24}\]. |
A) Both Statement -1 and Statement - 2 are true. done clear
B) Statement-1 is true and 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
View Solution play_arrowquestion_answer25) State 'T' for true and 'F' for false.
(i) The rational number \[\frac{-8}{-3}\] lies neither to the right nor to the left of zero on the number line. |
(ii) The rational numbers \[\frac{1}{2}\] and \[-\frac{5}{2}\] are on the opposite sides of 0 on the number line. |
(iii) 0 is the smallest rational number. |
(iv) For every rational number\[x,\text{ }x+1=x\]. |
A)
(i) | (ii) | (iii) | (iv) |
F | T | T | F |
B)
(i) | (ii) | (iii) | (iv) |
T | F | F | F |
C)
(i) | (ii) | (iii) | (iv) |
F | T | F | F |
D)
(i) | (ii) | (iii) | (iv) |
T | T | F | F |
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