-
question_answer1)
The factors of \[{{x}^{2}}+xy-2xz-2yz\] are
A)
\[\Rightarrow \] done
clear
B)
\[P(-a)=0\] done
clear
C)
\[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\] done
clear
D)
\[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\] done
clear
View Solution play_arrow
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question_answer2)
The factors of \[P(3)=0\] are
A)
\[P(3)=0\] done
clear
B)
\[P(3)={{3}^{3}}-{{3}^{2}}+4\times 3-12\] done
clear
C)
\[27-27+12-12=0\] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer3)
The factors of \[P(3)=0\] are
A)
\[\therefore \] done
clear
B)
\[(x-3)\] done
clear
C)
\[\frac{4-x}{7-x}=\frac{2}{5}\] done
clear
D)
\[20-5x=14-2x\] done
clear
View Solution play_arrow
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question_answer4)
The value of\[3x=6\] is
A)
\[\Rightarrow \] done
clear
B)
1 done
clear
C)
\[x=2\] done
clear
D)
0.1 done
clear
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question_answer5)
One of the factors of \[10x+x+3=11x+3\] is
A)
\[=x+x+3=2x+3\] done
clear
B)
\[\frac{11x+3}{2x+3}=\frac{4}{1}\] done
clear
C)
\[11x+3=8x+12\] done
clear
D)
\[3x=9\] done
clear
View Solution play_arrow
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question_answer6)
If the factors of \[x=3\]\[28x-25x=36\] are \[\because \] and \[3x=36\] then the value of \[4{{x}^{2}}-20x+25=0\]is
A)
0 done
clear
B)
2 done
clear
C)
4 done
clear
D)
6 done
clear
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question_answer7)
The factors of \[\frac{3}{2}\] are
A)
\[\left( x-3\sqrt{3} \right)\left( \sqrt{3x}+2 \right)\] done
clear
B)
\[\frac{7}{2}\] done
clear
C)
\[\frac{7}{2}\] done
clear
D)
\[\frac{5}{2}\] done
clear
View Solution play_arrow
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question_answer8)
If the digit 1 is placed after a two digit number whose tens digit is 'f and units digit is 'u?, the new number is
A)
\[\frac{5}{2}\] done
clear
B)
\[\frac{a+5}{3a-5}=\frac{a-8}{a+8}\] done
clear
C)
\[2{{(a+b)}^{2}}-9(a+b)-5\] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer9)
The solution of \[a+b+5,2a+2b-1\] is
A)
\[a+b-5,2a+ab+1\] done
clear
B)
\[a-b+5,2a-2b+5\] done
clear
C)
\[a+b+c=9\] done
clear
D)
\[ab+bc+ca=26,\] done
clear
View Solution play_arrow
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question_answer10)
In an examination a student was asked to find \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc\] th of a certain number. By mistake, he found \[x:\frac{x-a}{b+c}+\frac{x-b}{c+a}+\frac{x-c}{a+b}=3\] of it. His answer was 150 more than the correct answer. The number is
A)
290 done
clear
B)
280 done
clear
C)
240 done
clear
D)
180 done
clear
View Solution play_arrow
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question_answer11)
A man is 5 years older than his wife and the wife is now thrice as old as their daughter, who is 10 years old. How old was the man when his daughter was born?
A)
20 years done
clear
B)
23 years done
clear
C)
25 years done
clear
D)
30 years done
clear
View Solution play_arrow
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question_answer12)
There were only two candidates in an election. One got 62% votes and was elected by a margin of 144 votes. The total number of voters were
A)
500 done
clear
B)
600 done
clear
C)
700 done
clear
D)
800 done
clear
View Solution play_arrow
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question_answer13)
A student has to secure 40% marks to pass. He got 40 marks and failed by 40 marks. The maximum number of marks is
A)
160 done
clear
B)
180 done
clear
C)
200 done
clear
D)
320 done
clear
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question_answer14)
The ratio of number of males to number of females in a club are 7:4. If there are 84 males in the club, the total number of members in the club are
A)
126 done
clear
B)
132 done
clear
C)
136 done
clear
D)
148 done
clear
View Solution play_arrow
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question_answer15)
If a number increased by 8% of itself gives 135, then that number is
A)
112 done
clear
B)
100 done
clear
C)
125 done
clear
D)
None of these done
clear
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question_answer16)
X and Y together can do a piece of work in 8 days, which X alone can do in 12 days. In how many days can Y do the same work alone?
A)
12 days done
clear
B)
24 days done
clear
C)
36 days done
clear
D)
16 days done
clear
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question_answer17)
A man can row at 8 kmph in still water. If the river is running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place?
A)
1km done
clear
B)
2km done
clear
C)
3km done
clear
D)
4km done
clear
View Solution play_arrow
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question_answer18)
If the angles of a triangle are in the ratio 2: 3: 4, then the difference between the greatest and smallest angles is
A)
\[1/2(a+b+c)\] done
clear
B)
\[a+b+c\] done
clear
C)
\[3(a+b+c)\] done
clear
D)
\[2(abc)\] done
clear
View Solution play_arrow
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question_answer19)
What must be added to x/y to make y/x?
A)
\[x=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\] done
clear
B)
\[{{x}^{3}}+\frac{1}{{{x}^{3}}}\] done
clear
C)
\[3x-2=\frac{8}{x}.\] done
clear
D)
\[\left( -\frac{3}{4},2 \right)\] done
clear
View Solution play_arrow
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question_answer20)
If \[(2,2)\] and y = 1, then the value of \[\left( -\frac{4}{3},2 \right)\] is:
A)
\[\frac{1}{x}-\frac{3}{4}+\frac{1}{2+x}=0\] done
clear
B)
\[\left( 2,-\frac{3}{4} \right)\] done
clear
C)
\[(5,4)\] done
clear
D)
\[(-8,0)\] done
clear
View Solution play_arrow
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question_answer21)
What is the reciprocal of \[\left( -\frac{4}{3},2 \right)\] when\[\frac{x}{x-1}+\frac{x-1}{x}=2\frac{1}{2}\] ?
A)
\[(5,4)\] done
clear
B)
0 done
clear
C)
1 done
clear
D)
6 done
clear
View Solution play_arrow
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question_answer22)
Evaluate \[\sqrt{\frac{0.36\times 0.72\times 0.049}{0.04\times 0.09\times 0.08}}\]
A)
27 done
clear
B)
27 done
clear
C)
3.1 done
clear
D)
2.1 done
clear
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question_answer23)
If \[x+y=2\]and \[x-y=1,\] then:
A)
\[P(x)={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+.....+{{a}_{n}}{{x}^{n}}\] done
clear
B)
\[{{a}_{0}},{{a}_{1}},{{a}_{2}},.....,{{a}_{n}}\] done
clear
C)
\[{{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+.....+{{a}_{n}}{{x}^{n}}\] done
clear
D)
\[{{a}_{0}},{{a}_{1}},{{a}_{2}}......{{a}_{n}}\] done
clear
View Solution play_arrow
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question_answer24)
If \[({{a}_{0}}\ne 0)\]and \[-9,\frac{15}{4},\frac{-13}{3}\] then the value of \[f(x)=ax+b\]is
A)
\[f(x)=a{{x}^{2}}+bx+c\ne 0\] done
clear
B)
\[3xy+7x{{y}^{2}}-8x{{y}^{3}}+7{{y}^{2}}{{x}^{2}}\] done
clear
C)
\[\frac{{{a}^{3}}-3}{b}\] done
clear
D)
\[\therefore \] done
clear
View Solution play_arrow
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question_answer25)
If \[{{(a+b)}^{2}}={{a}^{2}}+2ab+{{b}^{2}}\], then the value of \[x+\frac{1}{1+\frac{1}{1+\frac{1}{x}}}\]is equal to
A)
\[{{(a+b)}^{3}}={{a}^{3}}+3{{a}^{2}}b+3a{{b}^{2}}+{{b}^{3}}={{a}^{3}}+{{b}^{3}}+3ab(a+b)\] done
clear
B)
\[{{(a-b)}^{3}}={{a}^{3}}-3{{a}^{2}}b+3a{{b}^{2}}-{{b}^{3}}={{a}^{3}}-{{b}^{3}}-3ab(a-b)\] done
clear
C)
\[{{a}^{3}}+{{b}^{3}}=(a+b)({{a}^{2}}-ab+{{b}^{2}})\] done
clear
D)
none of these done
clear
View Solution play_arrow
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question_answer26)
If \[{{2}^{2x-y}}=32\]and \[{{2}^{x+y}}=16\] then \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc=(a+b+c)({{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca)\]is equal to
A)
9 done
clear
B)
10 done
clear
C)
11 done
clear
D)
13 done
clear
View Solution play_arrow
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question_answer27)
If \[{{\text{a}}^{\text{3}}}\text{+}{{\text{b}}^{\text{3}}}\text{+}{{\text{c}}^{\text{3}}}\text{=3abc if a+b+c=0}\] then x is equal to
A)
1 done
clear
B)
2 done
clear
C)
3 done
clear
D)
none of these done
clear
View Solution play_arrow
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question_answer28)
The value of \[P(x)={{x}^{3}}+{{x}^{2}}+2x+3\] is
A)
\[x+2=0\] done
clear
B)
\[x=-2\] done
clear
C)
\[P(x)={{x}^{3}}+{{x}^{2}}+2x+3\] done
clear
D)
\[P(-2)={{(-2)}^{3}}+{{(-2)}^{2}}+2(-2)+3\] done
clear
View Solution play_arrow
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question_answer29)
If two number differ by 3 and their product is 504, then the number are
A)
21, 24 or \[-\]24, \[-\]21 done
clear
B)
30, 31 or \[-\]30, \[-\]31 done
clear
C)
40, 41 or \[-\]40, \[-\]41 done
clear
D)
none of these done
clear
View Solution play_arrow
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question_answer30)
The additive inverse of \[=-8+4-4+3=-12+7=-5\]is
A)
\[\Rightarrow \] done
clear
B)
\[P(-a)=0\] done
clear
C)
\[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\] done
clear
D)
none of these done
clear
View Solution play_arrow
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question_answer31)
The sum of the reciprocals of \[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\] and \[P(3)=0\]is
A)
\[P(3)=0\] done
clear
B)
\[P(3)={{3}^{3}}-{{3}^{2}}+4\times 3-12\] done
clear
C)
1 done
clear
D)
0 done
clear
View Solution play_arrow
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question_answer32)
The equation for the statement: 'half of a number added to 10 is 15'.
A)
\[27-27+12-12=0\] done
clear
B)
\[P(3)=0\] done
clear
C)
\[\therefore \] done
clear
D)
\[(x-3)\] done
clear
View Solution play_arrow
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question_answer33)
In \[P(x)\]the value of a' is
A)
\[-\]1 done
clear
B)
\[ax+b=0\] done
clear
C)
\[a\ne 0,x\] done
clear
D)
+1 done
clear
View Solution play_arrow
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question_answer34)
Ramu's father is thrice as old as Ramu. If father's age is 45 years then Ramu's age is
A)
45 years done
clear
B)
30 years done
clear
C)
15 years done
clear
D)
10 years done
clear
View Solution play_arrow
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question_answer35)
The solution of \[ax=-b\]is
A)
\[x=-\frac{b}{a}\] done
clear
B)
\[ax+by+c=0\] done
clear
C)
\[ax+by+d=0\] done
clear
D)
\[a\ne 0,\] done
clear
View Solution play_arrow
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question_answer36)
If 20% of 60% of a number is 144, then the number is
A)
1200 done
clear
B)
2880 done
clear
C)
8640 done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer37)
There were only two candidates who participated in an election. One contestant got 62% votes and was elected by a margin of 144 votes. The total number of votes were
A)
500 done
clear
B)
600 done
clear
C)
700 done
clear
D)
800 done
clear
View Solution play_arrow
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question_answer38)
What is the total number of candidates at an examination, if 31% fail and the number of those who passed exceeds the number of those who failed by 247?
A)
605 done
clear
B)
560 done
clear
C)
650 done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer39)
What must be subtracted from each term of the ratio 4: 7, so that the ratio becomes 2:5?
A)
\[-\]2 done
clear
B)
\[-\]1 done
clear
C)
2 done
clear
D)
1 done
clear
View Solution play_arrow
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question_answer40)
The ratio between a two digit number and the sum of digits of that number is 4 : 1. If the digit in the units place is 3 more than the digit in the tenth place. What is the number?
A)
63 done
clear
B)
36 done
clear
C)
48 done
clear
D)
Data is not sufficient done
clear
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question_answer41)
The ratio of number of boys to girls in a class is 1:25. If 36 more girls join, the ratio becomes 1:28. The number of boys in the class is
A)
24 done
clear
B)
32 done
clear
C)
12 done
clear
D)
48 done
clear
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question_answer42)
The ratio of two numbers is a : b. If first of them is x, then second is
A)
\[b\ne 0\] done
clear
B)
\[3x-2y=4\] done
clear
C)
\[x+y-3=0\] done
clear
D)
\[3x-2y=4\] done
clear
View Solution play_arrow
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question_answer43)
Rs. 4800 are distributed among A, B and C in the ratio of 6:5:4. The difference between the shares of A and C is
A)
Rs. 450 done
clear
B)
Rs. 580 done
clear
C)
Rs. 640 done
clear
D)
Rs. 1260 done
clear
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question_answer44)
One number is 3 less than the two times of the other. If their sum is increased by 7, the result is 37. Find the numbers.
A)
9, 11 done
clear
B)
11, 13 done
clear
C)
11, 19 done
clear
D)
9, 13 done
clear
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question_answer45)
\[3(3-y)-2y=4\] of a flagpole is black, \[9-3y-2y=4\] is white and the remaining three meters is painted yellow. Find the length of the flagpole.
A)
\[\Rightarrow \] done
clear
B)
\[-5y=-5\] done
clear
C)
5km done
clear
D)
None of these done
clear
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question_answer46)
In a two digit number, ten's digit is twice the unit's digit. The number formed by interchanging the digits is 36 less than the original number. Find the number.
A)
48 done
clear
B)
70 done
clear
C)
72 done
clear
D)
84 done
clear
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question_answer47)
In a two digit number, the ten's digit is 2 more than the unit's digit. Sum of the digits is \[y=1\] of the whole number. Find the number.
A)
24 done
clear
B)
42 done
clear
C)
64 done
clear
D)
46 done
clear
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question_answer48)
The three even consecutive integers whose sum is 90 are
A)
26, 30, 34 done
clear
B)
24, 32, 34 done
clear
C)
24, 28, 38 done
clear
D)
28, 30, 32 done
clear
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question_answer49)
Which of the following expressions is a polynomial?
A)
\[x+y-3=0\] done
clear
B)
\[x+1-3=0\] done
clear
C)
\[x-2=0\] done
clear
D)
\[\Rightarrow \] done
clear
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question_answer50)
The degree of the polynomial \[x=2\] is
A)
3 done
clear
B)
4 done
clear
C)
2 done
clear
D)
can't be determined done
clear
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question_answer51)
The product of \[({{x}^{2}}+3x+5)\] and \[({{x}^{2}}-1)\] is
A)
\[a{{x}^{2}}+bx+c=0\] done
clear
B)
\[a\ne 0\] done
clear
C)
\[4{{x}^{2}}-4x-3=0\] done
clear
D)
none of these done
clear
View Solution play_arrow
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question_answer52)
If quotient \[3{{y}^{2}}+4y-4=0\], remainder \[5{{x}^{2}}-2\sqrt{x}-4=0\] and divisor \[2{{x}^{2}}-3{{x}^{-1}}+6=0\] then the dividend is
A)
\[a{{x}^{2}}+bx+c=0\] done
clear
B)
\[a{{x}^{2}}\] done
clear
C)
\[{{x}^{2}},b\] done
clear
D)
\[a{{x}^{2}}+bx+c=0\] done
clear
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question_answer53)
The remainder obtained when \[a\ne 0\]is divided by \[b\ne 0\] is
A)
\[c\ne 0\] done
clear
B)
\[a{{x}^{2}}+bx+c=0\] done
clear
C)
\[a\ne 0\] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer54)
What must be subtracted from \[{{x}^{4}}+2{{x}^{2}}-3x+7\] to get \[{{x}^{3}}+{{x}^{2}}+x-1?\]
A)
\[4{{x}^{2}}+3x=0,5{{x}^{2}}\] done
clear
B)
\[a{{x}^{2}}+bx+c=0\] done
clear
C)
\[a{{\alpha }^{2}}+b\alpha +c=0\] done
clear
D)
\[5{{x}^{2}}-7x-6=0.\] done
clear
View Solution play_arrow
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question_answer55)
If\[\because \] Then a = _____.
A)
1 done
clear
B)
\[5{{(2)}^{2}}-7(2)-6=0\] done
clear
C)
\[20-14-6=0\] done
clear
D)
none of these done
clear
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question_answer56)
The product of two factors with unlike signs is______.
A)
positive done
clear
B)
Negative done
clear
C)
Cannot be determined done
clear
D)
None of these done
clear
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question_answer57)
The value of \[25{{x}^{2}}+16{{y}^{2}}+40xy\] at \[5{{x}^{3}}-7x-6=0.\]and\[y=-\,1\]is
A)
81 done
clear
B)
\[-\] 49 done
clear
C)
1 done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer58)
If \[3x-7y=10\] and \[xy=-1,\] then the value of \[9{{x}^{2}}+49{{y}^{2}}\] is
A)
58 done
clear
B)
142 done
clear
C)
104 done
clear
D)
\[-\]104 done
clear
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question_answer59)
\[{{x}^{2}}-36=0\]
A)
\[{{x}^{2}}-36=0\] done
clear
B)
\[\Rightarrow \] done
clear
C)
\[{{x}^{2}}-{{6}^{2}}=0\] done
clear
D)
0 done
clear
View Solution play_arrow
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question_answer60)
If \[\Rightarrow \], then the value of \[(x-6)(x+6)=0\] is
A)
Greater than 2 done
clear
B)
less than 2 done
clear
C)
Greater than 4 done
clear
D)
less than 4 done
clear
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question_answer61)
The value of\[\frac{{{(67.542)}^{2}}-{{(32.458)}^{2}}}{75.458-40.374}\]is
A)
1 done
clear
B)
10 done
clear
C)
100 done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer62)
If \[x+y=6\] and \[3x-y=4,\]then \[x-y\] is equal to
A)
\[x=6\] done
clear
B)
0 done
clear
C)
2 done
clear
D)
4 done
clear
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question_answer63)
The value of the product \[x=-6\] at \[{{x}^{2}}+5x+6=0\] is
A)
150 done
clear
B)
148 done
clear
C)
152 done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer64)
\[\Rightarrow \]
A)
0 done
clear
B)
\[{{x}^{2}}+3x+2x+6=0\] done
clear
C)
1 done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer65)
\[11x+12y=58\]and \[12x+11y=57,\] the value of \[4(x+y)\] is...
A)
5 done
clear
B)
12 done
clear
C)
20 done
clear
D)
24 done
clear
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question_answer66)
If \[\frac{2}{x}+3y=15\] and \[\frac{5}{x}-4y=3\] the value of x is
A)
1/2 done
clear
B)
2 done
clear
C)
1/3 done
clear
D)
3 done
clear
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question_answer67)
The number 34 is divided into two parts such that the difference between them is 8. Find the larger one.
A)
20 done
clear
B)
35 done
clear
C)
18 done
clear
D)
21 done
clear
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question_answer68)
In 10 years A will be twice as old as B was 10 years ago. Find the age of A if he is now 9 years older than B.
A)
39yrs done
clear
B)
48yrs done
clear
C)
30yrs done
clear
D)
45yrs done
clear
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question_answer69)
From which number you subtract 40, the difference will be one third of the original number?
A)
48 done
clear
B)
60 done
clear
C)
80 done
clear
D)
46 done
clear
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question_answer70)
There are three consecutive numbers whose sum is 129. Find the square of the middle one.
A)
1849 done
clear
B)
1764 done
clear
C)
1829 done
clear
D)
1936 done
clear
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question_answer71)
Ten years hence a man will be twice as old as his son, but two years ago he was four times as old as his son then was. Find the age of the father.
A)
26 years done
clear
B)
28 years done
clear
C)
30 years done
clear
D)
35 years done
clear
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question_answer72)
A's present age is to B's present age as 7:9. Nine years ago, their ages were in the ratio of 2:3. Find the present age of A.
A)
27 years done
clear
B)
21 years done
clear
C)
25 years done
clear
D)
22 years done
clear
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question_answer73)
How old is a man now who, 20 years ago, was five times as old as his son who will be 41 years old 16 years after?
A)
40 years done
clear
B)
45 years done
clear
C)
48 years done
clear
D)
50 years done
clear
View Solution play_arrow
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question_answer74)
A number consists of two digits; the sum of the digits is 5 and if the left digit be increased by 1, it will be equal to 1/8 th of the number. Find the number.
A)
41 done
clear
B)
23 done
clear
C)
14 done
clear
D)
32 done
clear
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question_answer75)
If \[x+2=0\]find the value of\[\Rightarrow \].
A)
3/4 done
clear
B)
2/3 done
clear
C)
4/3 done
clear
D)
4/5 done
clear
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question_answer76)
What are the roots of the equation \[x=-3\]
A)
\[x=-2\] done
clear
B)
\[(x-y)(x+2z)\] done
clear
C)
\[(x+y)(x-2z)\] done
clear
D)
\[(x-y)(x-2z)\] done
clear
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question_answer77)
The solution set of \[(x+y)(y+2z)\] is
A)
\[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}\] done
clear
B)
\[\left( \frac{x}{4}+\frac{y}{9} \right),\left( \frac{x}{4}-\frac{y}{9} \right)\] done
clear
C)
\[\left( \frac{x}{2}+\frac{y}{9} \right),\left( \frac{x}{2}-\frac{y}{9} \right)\] done
clear
D)
\[\left( \frac{x}{2}+\frac{y}{3} \right),\left( \frac{x}{2}-\frac{y}{3} \right)\] done
clear
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question_answer78)
The roots of \[1-{{p}^{3}}\] are
A)
\[\frac{3}{2}\]and\[\frac{3}{2}\] done
clear
B)
\[\frac{7}{2}\]and\[\frac{7}{2}\] done
clear
C)
\[\frac{5}{2}\]and\[\frac{5}{2}\] done
clear
D)
None of these done
clear
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question_answer79)
The possible values of a in \[0.01\] are
A)
0 and 0 done
clear
B)
9 and 0 done
clear
C)
0 and 21 done
clear
D)
0 and 9 done
clear
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question_answer80)
A boat goes downstream and covers the distance between two ports in 4 hrs while it covers the same distance upstream in 5 hrs. If the speed of the stream is 2 km ph, the speed of the boat in still water is
A)
15km/hr done
clear
B)
20km/hr done
clear
C)
24km/hr done
clear
D)
18km/hr done
clear
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question_answer81)
A farmer divides his herd of n cows among his four sons so that first son gets one half the herd, the second son gets one fourth, the third son gets one fifth, and the fourth son gets 7 cows, then n is:
A)
180 done
clear
B)
140 done
clear
C)
240 done
clear
D)
100 done
clear
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question_answer82)
If the difference of the squares of two numbers is 45, the square of the smaller number is 4 times the larger number, then the numbers are
A)
9,6 or 9,-6 done
clear
B)
5,6 or 5,-6 done
clear
C)
9,5 or 9,-5 done
clear
D)
None of these done
clear
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question_answer83)
Factors of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}+2-2x-\frac{2}{x}\] are
A)
\[x-\frac{1}{x}\] done
clear
B)
\[x+\frac{1}{x}-1\] done
clear
C)
\[x+\frac{1}{x}\] done
clear
D)
None of these done
clear
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question_answer84)
In a piggy bank the number of 25 paise coins are five times the number of 50 paise coins. If there are 120 coins find the amount in the bank?
A)
Rs. 25 done
clear
B)
Rs. 10 done
clear
C)
Rs. 35 done
clear
D)
Rs. 40 done
clear
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question_answer85)
The present age of a man is 3 times that of his son. Six years ago, the age of the man was four times that of his son. Find the ratio of their ages 6 years later.
A)
4:3 done
clear
B)
3:4 done
clear
C)
2:5 done
clear
D)
5:2 done
clear
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question_answer86)
If \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\] and \[{{a}^{2}}+{{b}^{2}}+2\] then the value of \[(ab+bc+ca)\] is
A)
27 done
clear
B)
29 done
clear
C)
495 done
clear
D)
729 done
clear
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question_answer87)
Solve for \[x:\frac{x-a}{b+c}+\frac{x-b}{c+a}+\frac{x-c}{a+b}=3\]
A)
\[(a+b+nc)\] done
clear
B)
\[m+n\] done
clear
C)
\[\sqrt{3}{{x}^{2}}+11x+6\sqrt{3}\] done
clear
D)
\[\left( x-3\sqrt{3} \right)\left( \sqrt{3}x+2 \right)\] done
clear
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question_answer88)
A bag contains as many ruppes in it as there are 50 paise coins. Find the number of 50 paise coins if there be Rs. 30 in all.
A)
15 done
clear
B)
30 done
clear
C)
16 done
clear
D)
20 done
clear
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question_answer89)
Two numbers, whose sum is 39, are such that one-fifth of one of them is equal to one-eighth of the second. Find them.
A)
12,27 done
clear
B)
24,15 done
clear
C)
15,24 done
clear
D)
27,12 done
clear
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question_answer90)
A number consists of two digits whose sum is 5. If 9 be added to the number, the digits are reversed. Find the
A)
32 done
clear
B)
14 done
clear
C)
41 done
clear
D)
23 done
clear
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question_answer91)
A number consists of two digits whose sum is 10. If 72 be subtracted from the number, the digits are reversed. Find the number.
A)
91 done
clear
B)
64 done
clear
C)
55 done
clear
D)
82 done
clear
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question_answer92)
A certain number of two digits is four times the sum of its digits. If 9 be added to the number, the digits are reversed. Find the number.
A)
15 done
clear
B)
12 done
clear
C)
21 done
clear
D)
51 done
clear
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question_answer93)
Father's age is equal to the sum of the ages of his five children. After 15 years his age will be only half of the sum of the children's ages. How old is the father?
A)
42 years done
clear
B)
43 years done
clear
C)
44 years done
clear
D)
45 years done
clear
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question_answer94)
If \[\left( x-3\sqrt{3} \right)\left( \sqrt{3}x-2 \right)\], find the value of \[\left( x+3\sqrt{3} \right)\left( \sqrt{3}x-2 \right)\].
A)
644 done
clear
B)
512 done
clear
C)
488 done
clear
D)
348 done
clear
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question_answer95)
Find the roots of \[\left( x+3\sqrt{3} \right)\left( \sqrt{3}x+2 \right)\]
A)
\[10t+u+1\] done
clear
B)
\[100t+10u+1\] done
clear
C)
\[t+u+1\] done
clear
D)
None of these done
clear
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question_answer96)
Choose the correct option for the roots of \[\frac{1}{x}-\frac{3}{4}+\frac{1}{2+x}=0\]
A)
\[x=1\] done
clear
B)
\[x=-1\] done
clear
C)
\[x=2\] done
clear
D)
\[x=-3\] done
clear
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question_answer97)
The roots of\[\frac{3}{14}\]are
A)
\[\frac{3}{14}\] done
clear
B)
\[{{10}^{o}}\] done
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C)
\[{{20}^{o}}\] done
clear
D)
\[{{30}^{o}}\] done
clear
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question_answer98)
Linear polynomials is
A)
A polynomial of degree two in one variable. done
clear
B)
A polynomial of degree three. done
clear
C)
A polynomial of degree 1 in one variable. done
clear
D)
A polynomial of degree zero. done
clear
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question_answer99)
Match column I with column II and select the correct answer using the code given below the columns:
Column - I | Column- II |
(A) Polynomial whose zeroes are \[{{40}^{o}}\] | (p) \[\frac{{{y}^{2}}-{{x}^{2}}}{yx}\] |
(B) Polynomial whose zeroes are 3 and -2 is | (q) \[\frac{xy}{x+y}\] |
(C) Polynomial whose zeroes are \[\frac{{{x}^{2}}-{{y}^{2}}}{{{x}^{2}}+{{y}^{2}}}\] is | (r) \[x=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}\] |
(D) Polynomial whose zeroes \[\frac{x-y}{x-3y}\] and \[\frac{5}{\sqrt{6}-4}\] is | (s) \[\frac{5}{\sqrt{6}+4}\] |
A)
\[\frac{\sqrt{6}-4}{5}\] done
clear
B)
\[\frac{\sqrt{6}+4}{5}\] done
clear
C)
\[\frac{1}{a-3b}\] done
clear
D)
\[b=\frac{a}{3}\] done
clear
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question_answer100)
Match column I with column II and select the correct answer using the code given below the columns:
Column - I | Column- II |
(A) Zeroes of \[f(x)=(x-1)\]\[(x-2)\,(x-3)\] are | (p) 1 |
(B) Zeroes of \[x+y=2\]are | (q) 2 |
(C) Zeroes of \[x-y=1,\] are | (r) 3 |
(D) Zeroes of \[x=\frac{3}{2},y=\frac{1}{2}\] are | (s) -2 |
A)
\[x=0,y=3\] done
clear
B)
\[x=1\frac{1}{2},y=6\] done
clear
C)
\[y=0,x=6\] done
clear
D)
\[x+y=a\] done
clear
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question_answer101)
Match column I with column II and select the correct answer II using the code given below the columns:
Column - I | Column- II |
(A) \[xy=b,\] | (p) \[\frac{1}{{{x}^{3}}}+\frac{1}{{{y}^{3}}}\] |
(B) \[\frac{{{a}^{3}}-3ab}{{{b}^{3}}}\] | (q) \[\frac{{{a}^{3}}-3a}{{{b}^{3}}}\] |
(C) \[\frac{{{a}^{3}}-3}{h}\] | (r) \[\frac{{{a}^{3}}-3}{{{b}^{2}}}\] |
(D) \[x=\frac{1}{2}\] | (s) \[\begin{align} & x+\overset{1}{\mathop{\_\_\_\_\_\_\_}}\, \\ & 1+\overset{1}{\mathop{\_\_\_\_}}\, \\ & 1+\frac{1}{x} \\ \end{align}\] |
(E) \[\frac{5}{4}\] | (t) \[\frac{4}{5}\] |
(F) \[\frac{3}{4}\] | (u) \[{{2}^{2x-y}}=32\] |
A)
\[{{2}^{x+y}}=16\]\[{{x}^{2}}+{{y}^{2}}\] done
clear
B)
\[x-\frac{1}{x-2}=2-\frac{1}{x-2},\]\[(E)\to (t),\,(F)\to (p)\] done
clear
C)
\[{{x}^{2}}\]\[{{x}^{a+b+c}}\] done
clear
D)
\[{{x}^{abc}}\]\[{{x}^{0}}\] done
clear
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question_answer102)
Match column I with column II and select the correct answer using the code given below the columns:
Column - I | Column - II |
(A) Solution of \[\frac{{{x}^{5}}-7{{x}^{2}}+18}{{{x}^{3}}-2}\]is | (p) ? 8 |
(B) Solution of \[\frac{{{x}^{5}}+7{{x}^{2}}+18}{{{x}^{3}}-2}\] | (q) 0.6 |
(C) Solution of \[\frac{-{{x}^{5}}-7{{x}^{2}}+18}{{{x}^{3}}-2}\] is | (r) \[-\frac{3}{4}\] |
(D) Solution of \[0.25(4t-3)\]\[=0.05(10t-9)\] | (s) 5 |
(E) Solution of\[\frac{{{x}^{2}}-9}{{{x}^{2}}+3}\] is | (t) 2.4 |
A)
\[\frac{{{x}^{3}}+2{{x}^{2}}-x}{{{x}^{2}}-9}\]\[(D)\to (q),(E)\to (s)\] done
clear
B)
\[\frac{x}{2}+10+5\]\[(D)\to (p),(E)\to (t)\] done
clear
C)
\[\frac{x}{2}+15=10\]\[(D)\to (q),(E)\to (p)\] done
clear
D)
\[6(2a-1)+8=14,\]\[(D)\to (q),(E)\to (p)\] done
clear
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question_answer103)
Match column I with column II and select the correct answer using the code given below the columns:
Column - I | Column- II |
(A) If \[2x-y-5\] and \[3x+2y=11,\]then \[x+y=\] | (p) no solution |
(B) If \[x+2y=5\]\[2x+3y=8,\] then \[x+y=\] | (q) 2 |
(C) If \[2x+3y=7\] \[6x+9y=1,\]then there is | (r) 3 |
(D) If \[3x-4y=7\]\[5x+2y=3,\]then \[7x+5y=\] | (s) 4 |
A)
\[(A)\to (q),(B)\to (r),(C)\to (s),(D)\to (p)\] done
clear
B)
\[(A)\to (s),(B)\to (r),(C)\to (p),(D)\to (q)\] done
clear
C)
\[(A)\to (r),(B)\to (s),(C)\to (p),(D)\to (q)\] done
clear
D)
\[(A)\to (s),(B)\to (r),(C)\to (q),(D)\to (p)\] done
clear
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question_answer104)
Which of the following is not a polynomial? (i) \[3{{x}^{\frac{1}{2}}}-4x+3\] (ii) \[x=1\] (iii) \[y=0,x=6\] (iv) \[x+y=a\]
A)
(i), (ii) and (iii) only done
clear
B)
(iii) only done
clear
C)
(i), (iv) only done
clear
D)
(ii) only done
clear
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question_answer105)
Which of the following statement (s) is/are correct? (i) \[xy=b,\] is a polynomial (ii) \[\frac{1}{{{x}^{3}}}+\frac{1}{{{y}^{3}}}\] is polynomial. (iii) \[\frac{{{a}^{3}}-3ab}{{{b}^{3}}}\]is a polynomial (iv) \[\frac{{{a}^{3}}-3a}{{{b}^{3}}}\] is a polynomial
A)
(i) and (iv) done
clear
B)
(ii) and (iii) done
clear
C)
(i) and (iii) done
clear
D)
(iii) and (iv) done
clear
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question_answer106)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: Degree of the polynomial \[\frac{{{a}^{3}}-3}{h}\] is 2. Reason: The degree of a polynomial of one variable is the highest value of the exponent of the variable.
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true done
clear
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question_answer107)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: Binomials and trinomials are multinomials. Reason: An algebraic expression having two or more terms is called a multinomial.
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true done
clear
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question_answer108)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: If 2, 3 are the zeroes of a quadratic polynomial, then polynomial is \[{{x}^{2}}-5x+8\] Reason: If \[\frac{{{a}^{3}}-3}{{{b}^{2}}}\]are the zeroes of a monic quadratic polynomial, then polynomial is\[x=\frac{1}{2}\]
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true done
clear
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question_answer109)
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: Zeroes of \[\begin{align} & x+\overset{1}{\mathop{\_\_\_\_\_\_\_}}\, \\ & 1+\overset{1}{\mathop{\_\_\_\_}}\, \\ & 1+\frac{1}{x} \\ \end{align}\] are 5, \[-\]1 Reason: The polynomial whose zeroes are \[\frac{5}{4}\] is \[\frac{4}{5}\]
A)
Both A and R are individually true and R is the correct explanation of A. done
clear
B)
Both A and R are individually true but R is not the correct explanation of A. done
clear
C)
A is true but R is false done
clear
D)
A is false but R is true done
clear
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question_answer110)
DIRECTIONS: For the following questions write your answer would be only in single number. Do not write in word. If \[\frac{3}{4}\] and \[{{2}^{2x-y}}=32\], then the value of \[{{2}^{x+y}}=16\] is equal to ______ *-correct-answer-description-* \[a-b+5,2a-2b+5\] Now, \[{{(x-y)}^{3}}={{x}^{3}}-{{y}^{3}}-3xy\,(x-y)\] \[ab+bc+ca=26,\] \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc\] \[x:\frac{x-a}{b+c}+\frac{x-b}{c+a}+\frac{x-c}{a+b}=3\] *-question-type-* 6 *-question-instructions-* 0
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question_answer111)
DIRECTIONS: For the following questions write your answer would be only in single number. Do not write in word. If \[x+\frac{1}{x}=2\] then \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\] is equal to ______ *-correct-answer-description-* \[x+\frac{1}{x}=2\] Squaring both sides, we get \[{{\left( x+\frac{1}{x} \right)}^{2}}=4\] \[\Rightarrow \] \[{{x}^{2}}+\frac{1}{{{x}^{2}}}+2=4\] \[\Rightarrow \] \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=2\] *-question-type-* 6 *-question-instructions-* 0
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question_answer112)
DIRECTIONS: For the following questions write your answer would be only in single number. Do not write in word. In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x - 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, then x = _________ *-correct-answer-description-* \[\frac{(x+2)\times 60+x\times 120+(x-2)\times 180}{x+2+x+x-2}=100\] \[\Rightarrow \] \[\frac{60x+120+120x+180x-360}{3x}=100\] \[\Rightarrow \] \[360x-240=300x\] \[\Rightarrow \] \[60x=240\] \[\Rightarrow \]\[x=4\] *-question-type-* 6 *-question-instructions-* 0
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question_answer113)
DIRECTIONS: For the following questions write your answer would be only in single number. Do not write in word. The difference of the degrees of the polynomials \[p(x)=3{{x}^{2}}{{y}^{3}}+5x{{y}^{7}}-{{x}^{6}}\]and \[{{x}^{2}}\] is ___________ *-correct-answer-description-* Maximum degree of \[p(n)=1+7=8\] Maximum degree of \[q(n)=5\] Difference \[=8-5=3\] *-question-type-* 6 *-question-instructions-* 0
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question_answer114)
DIRECTIONS: For the following questions write your answer would be only in single number. Do not write in word. If \[x-\frac{1}{x}=\sqrt{6},\] then \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=\_\_\_\_\_\_\_\_\_\_\] *-correct-answer-description-* \[x-\frac{1}{x}=\sqrt{6}\] Squaring on both sides, we get \[{{\left( x-\frac{1}{x} \right)}^{2}}={{\left( \sqrt{6} \right)}^{2}}\] \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-2.x\frac{1}{x}=6\] \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=6+3=8.\] *-question-type-* 6 *-question-instructions-* 0
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