question_answer1) If \[x+y=5,\,\,y+z=7\]and \[z+x=12,\] what is the value of \[x+y+z\]?
A) 12 done clear
B) 2 done clear
C) 5 done clear
D) 24 done clear
View Solution play_arrowquestion_answer2) How many auxiliary formulae can be formed from the expression in the box?
| \[A=\frac{1}{2}h\,(a+b)\] |
A) 2 done clear
B) 3 done clear
C) 4 done clear
D) 1 done clear
View Solution play_arrowquestion_answer3) What is the difference between \[3a+2b\]and\[-2a\,-5b\]?
A) \[5a+7b\] done clear
B) \[-5a-7b\] done clear
C) \[5a-7b\] done clear
D) \[a-3b\] done clear
View Solution play_arrowA) \[(l+w)\,(b+w)-lb\] done clear
B) \[l\,b-(l-w)\,(b-w)\] done clear
C) \[(l+b-w)w\] done clear
D) \[l\,b-(l-2w)\,(b-2w)\] done clear
View Solution play_arrowA) \[11x+3\] done clear
B) \[2x+3\] done clear
C) \[3+x\] done clear
D) \[11x+30\] done clear
View Solution play_arrowA) \[A=B\] done clear
B) \[A+B\] is a zero polynomial. done clear
C) \[A-B\] is a zero polynomial. done clear
D) \[A-B=B-A\] done clear
View Solution play_arrowA) 2 done clear
B) \[\frac{4}{3}\] done clear
C) \[-1\] done clear
D) \[-5\] done clear
View Solution play_arrowA) \[\sqrt{49}\times \frac{1}{7}\] done clear
B) \[\sqrt[3]{343}\times \frac{7}{7}\] done clear
C) 7 done clear
D) Both [b] and [c] done clear
View Solution play_arrowquestion_answer9) In the figure given what is the perimeter, in cm, of the triangle? 
A) \[(8y+4x-3)\,cm\] done clear
B) \[(8y-4x+3)\,cm\] done clear
C) \[(14x-2y-3)\,cm\] done clear
D) \[(12xy-3)\,cm\] done clear
View Solution play_arrowquestion_answer10) If \[C=\frac{x-a}{a-b},\] find the value of x.
A) \[\frac{bC-a}{C-1}\] done clear
B) \[\frac{C-a}{C-b}\] done clear
C) \[\frac{C+a}{C+b}\] done clear
D) \[\frac{1-C}{a-bC}\] done clear
View Solution play_arrowquestion_answer11) Match the following.
| Column-I | Column-II | ||
| (i) | \[4{{m}^{2}}p,4m{{p}^{2}}\] | (a) | Binomial |
| (ii) | \[5-3t\] | (b) | Unlike terms |
| (iii) | \[-7x,\frac{5}{2}x\] | (c) | Trinomial |
| (iv) | \[1+x+{{x}^{2}}\] | (d) | Like terms |
A) \[\left( i \right)-\left( a \right),\left( ii \right)-\left( b \right),\left( iii \right)-\left( c \right),\left( iv \right)-\left( d \right)\] done clear
B) \[\left( i \right),\left( b \right),\left( ii \right)-\left( a \right),\left( iii \right)-\left( d \right),\left( iv \right)-\left( c \right)\] done clear
C) \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( a \right)\] done clear
D) \[\left( i \right)-\left( b \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( a \right),\left( iv \right)-\left( d \right)\] done clear
View Solution play_arrowquestion_answer12) Which of the following is true?
A) The product of numbers p and q subtracted from 7 is \[7+pq\]. done clear
B) \[y-{{y}^{3}}\]is a monomial. done clear
C) The coefficient of \[{{y}^{2}}\] in \[2{{x}^{2}}y+7{{y}^{2}}\]is 7. done clear
D) \[100{{z}^{3}}\] is a binomial. done clear
View Solution play_arrowquestion_answer13) If \[x=3,\,a=(-1)\] and \[b=(-2),\] what is the value of\[2-6x+4a-3b\]?
A) \[-22\] done clear
B) \[-14\] done clear
C) \[12\] done clear
D) \[14\] done clear
View Solution play_arrowquestion_answer14) For what value of 'm' is \[9-5m=(-1)\]?
A) \[-1\] done clear
B) \[-2\] done clear
C) \[2\] done clear
D) \[1\] done clear
View Solution play_arrowquestion_answer15) Simplify \[{{x}^{2}}{{y}^{3}}-1.5{{x}^{2}}{{y}^{3}}+1.4{{x}^{2}}{{y}^{3}}\].
A) \[0.9\,{{x}^{2}}{{y}^{3}}\] done clear
B) \[-0.9\,{{x}^{2}}{{y}^{3}}\] done clear
C) \[0.9\] done clear
D) \[-0.9\] done clear
View Solution play_arrowquestion_answer16) What is the value of\[({{a}^{3}}-2{{a}^{2}}+4a-5)-(-{{a}^{3}}-8a+2{{a}^{2}}+5)\]?
A) \[2{{a}^{3}}+7{{a}^{2}}+6a-10\] done clear
B) \[2{{a}^{3}}+7{{a}^{2}}+12a-10\] done clear
C) \[2{{a}^{3}}-4{{a}^{2}}+12a-10\] done clear
D) \[2{{a}^{3}}-4{{a}^{2}}+6a-10\] done clear
View Solution play_arrowA) \[-12{{x}^{2}}{{y}^{2}}\] done clear
B) \[12{{x}^{2}}{{y}^{2}}\] done clear
C) \[-12xy\] done clear
D) \[12xy\] done clear
View Solution play_arrowA) \[\frac{13}{6}a+\frac{25}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] done clear
B) \[\frac{13}{6}{{a}^{2}}-\frac{1}{20}{{b}^{3}}+\frac{25}{12}{{c}^{3}}\] done clear
C) \[\frac{13}{6}{{a}^{2}}+\frac{25}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] done clear
D) \[\frac{13}{6}{{b}^{3}}+\frac{25}{12}{{a}^{3}}+\frac{1}{20}{{c}^{3}}\] done clear
View Solution play_arrowquestion_answer19) Match the following.
| Column - I | Column - II | ||
| (i) | \[{{a}^{2}}-{{b}^{3}}\] when \[a=3\] and \[b=2\] | (a) | \[0\] |
| (ii) | \[{{z}^{3}}-3(z-10)\] when \[z=10\] | (b) | \[-12\] |
| (iii) | \[{{x}^{2}}+2x+1\] when \[x=-1\] | (c) | \[1000\] |
| (iv) | \[5p-2\] when \[p=-2\] | (d) | \[1\] |
A) \[\left( i \right)-\left( d \right),\left( ii \right)-\left( a \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( c \right)\] done clear
B) \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( a \right)\] done clear
C) \[\left( i \right)-\left( a \right),\left( ii \right)-\left( b \right),\left( iii \right)-\left( c \right),\left( iv \right)-\left( d \right)\] done clear
D) \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( a \right),\left( iv \right)-\left( b \right)\] done clear
View Solution play_arrowquestion_answer20) Simplify the following expression.\[x(y-z)-y(z-x)-z(x-y)\]
A) \[2x(y-z)\] done clear
B) \[2y(z-x)\] done clear
C) \[2x(z-y)\] done clear
D) \[2z(x-y)\] done clear
View Solution play_arrowquestion_answer21) What is the 4th term of a pattern described by the expression \[{{n}^{2}}+1\]?
A) \[18\] done clear
B) \[17\] done clear
C) \[24\] done clear
D) \[16\] done clear
View Solution play_arrowquestion_answer22) The third term of the series \[7n+20\] is 41. What is the 10th term?
A) \[90\] done clear
B) \[56\] done clear
C) \[63\] done clear
D) \[87\] done clear
View Solution play_arrowquestion_answer23) What is the expression related to the pattern 5, 8,11,.......?
A) \[2n-1\] done clear
B) \[3n+2\] done clear
C) \[4n+1\] done clear
D) \[{{n}^{2}}-1\] done clear
View Solution play_arrowquestion_answer24) Which expression gives the predecessor of a natural number 'n'?
A) \[2n-1\] done clear
B) \[n+1\] done clear
C) \[n-1\] done clear
D) \[2n+1\] done clear
View Solution play_arrowquestion_answer25) If 'n? denotes a natural number, what does '2n' denote?
A) A prime number done clear
B) An even number done clear
C) An odd number done clear
D) A composite number done clear
View Solution play_arrowquestion_answer26) For any natural number n, what does \[2n\text{+}1\]denote?
A) An even number done clear
B) An odd number done clear
C) A composite number done clear
D) A prime number done clear
View Solution play_arrowquestion_answer27) Identify the like terms in \[21p-32-7p+20p\].
A) \[21p,-32\] and \[20p\] done clear
B) \[-32,-7p\] and \[20p\] done clear
C) \[21p,-7p\] and \[20p\] done clear
D) \[-7p,21p,\]and \[32\] done clear
View Solution play_arrowquestion_answer28) What is the symbolic form of "one-fourth of the product of m and n"?
A) \[\frac{1}{4}mn\] done clear
B) \[\frac{1}{4}(m+n)\] done clear
C) \[\frac{1}{4}(m-n)\] done clear
D) \[\frac{1}{4}\,\frac{m}{n}\] done clear
View Solution play_arrowquestion_answer29) What do we call the algebraic terms with same literal coefficients?
A) Equivalent done clear
B) Unlike terms done clear
C) Constants done clear
D) Like terms done clear
View Solution play_arrowquestion_answer30) What is the coefficient of 'y' in the expression\[3xy-13\]?
A) \[3x\] done clear
B) 3 done clear
C) \[-13\] done clear
D) Either [a] or [b] done clear
View Solution play_arrowA) \[5\frac{3}{20}\] done clear
B) \[3\frac{3}{20}\] done clear
C) \[\frac{13}{20}\] done clear
D) \[5\frac{1}{20}\] done clear
View Solution play_arrowA) \[102\,cm\] done clear
B) \[120\,cm\] done clear
C) \[210\,cm\] done clear
D) \[10p\,cm\] done clear
View Solution play_arrowquestion_answer33) From the sum of \[7x-2y-3z\] and \[3x+5y-8z,\]take away \[x-3z\].
A) \[9x-3y+8z\] done clear
B) \[9x+3y-8z\] done clear
C) \[9x+3y+8z\] done clear
D) \[9x-3y-8z\] done clear
View Solution play_arrowA) \[{{105}^{o}}\] done clear
B) \[{{65}^{o}}\] done clear
C) \[{{115}^{o}}\] done clear
D) \[{{65}^{o}}\] done clear
View Solution play_arrowA) \[\text{8 }cm\] done clear
B) \[\text{6 }cm\] done clear
C) \[\text{10 }cm\] done clear
D) \[\text{3 }cm\] done clear
View Solution play_arrowA) \[{{y}^{2}}-2yz+{{z}^{2}}\] done clear
B) \[{{y}^{2}}+2yz+{{z}^{2}}\] done clear
C) \[{{y}^{2}}-2yz-{{z}^{2}}\] done clear
D) \[-{{y}^{2}}+2yz-{{z}^{2}}\] done clear
View Solution play_arrowquestion_answer37) Evaluate the expression. \[p-(p-q)-q(q-p)\]
A) \[p-q\] done clear
B) \[-p+q\] done clear
C) \[p+q\] done clear
D) \[-(p+q)\] done clear
View Solution play_arrowA) \[-2\] done clear
B) \[-3\] done clear
C) \[-4\] done clear
D) \[-5\] done clear
View Solution play_arrowquestion_answer39) Lf \[P+\frac{5}{4}(4-2P)=-4,\]find P.
A) \[-6\] done clear
B) \[6\] done clear
C) \[18\] done clear
D) \[-18\] done clear
View Solution play_arrowquestion_answer40) How is "4 is less than half of x" written in symbolic form?
A) \[4>\frac{x}{2}\] done clear
B) \[\frac{x-4}{2}\] done clear
C) \[\frac{x}{2}+4\] done clear
D) \[4<\frac{x}{2}\] done clear
View Solution play_arrowA) \[23\,p\] done clear
B) \[23-\,p\] done clear
C) \[23+\,p\] done clear
D) \[p-23\] done clear
View Solution play_arrowA) \[6x\] done clear
B) \[6x-10\] done clear
C) \[\frac{3x}{5}\] done clear
D) \[3x-5\] done clear
View Solution play_arrowA) \[6(x-3)\,cm\] done clear
B) \[6(x-6)\,cm\] done clear
C) \[3(x+6)\,cm\] done clear
D) \[(6x+36)\,cm\] done clear
View Solution play_arrowquestion_answer44) Simplify \[\frac{4}{11}\,(66x+44)+\frac{3}{11}(33x-33)\].
A) \[33x+7\] done clear
B) \[33x-7\] done clear
C) \[33x-7x\] done clear
D) \[33+7x\] done clear
View Solution play_arrowquestion_answer45) Express in the simplest form.
| \[\frac{9}{10}(30+5t)+\frac{5}{6}(18t-12)\] |
A) \[-17+\frac{39}{2}t\] done clear
B) \[17t-\frac{39}{2}\] done clear
C) \[\left( 17+\frac{39}{2}t \right)\] done clear
D) \[17t+\frac{39}{2}\] done clear
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