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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 5051. |
Factorise a(a-1)-b(b-1) |
| Answer» = a^2 - a - b^2 - b= a^2 - b^2 - ( a + b) = (a+b)(a-b) -1(a+b)= (a+b)(a-b-1) | |
| 5052. |
Represent root 13 on number line from chapter 1 |
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| 5053. |
Represent root 3 on number line |
| Answer» Take AB= BC = 1cm{tex}\\angle B = {90^0}{/tex}In {tex}\\triangle{/tex}ABCAC2 = AB2 + BC2AC2 = 1 + 1AC2 = 2AC =\xa0{tex}\\sqrt{2}{/tex}In {tex}\\triangle{/tex}OCD{tex}\\angle C = {90^0}{/tex}\xa0OD2 = OC2 + DC2OD2 = ({tex}\\sqrt{2}{/tex})2 + 1OD2 = 2 + 1OD2 = 3OD =\xa0{tex}\\sqrt{3}{/tex} | |
| 5054. |
(256)0.16×(256)0.09 |
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Answer» (256×0.16)(256×0.09)40.96×23.04943.7184 (256)0.16 × (256)0.09= 40.96 × 23.04= 943.7184 |
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| 5055. |
4x - 4x is not equal to zero.find it |
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| 5056. |
190(43) |
| Answer» 8170 | |
| 5057. |
Draw the line graph for the following equation2y= -x +1 |
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| 5058. |
3\\2^2 |
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Answer» 3\\2^2=3\\4=0.75 ? Sorry |
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| 5059. |
Simplify 7root3/root10+root3 - 2root5/root6+root5 |
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| 5060. |
In a ∆ABC,AB=15cm,BC=13cm and AC=14cm.Find the area of ∆ABC and hence its altitude on AC. |
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Answer» hi I am boss Hello I am Ankita I boss of 9class In ∆ABC, AB = 15 cm , BC = 13 cm and AC = 14 cm.By Heron\'s formula ,S = ( A + B + C ) / 2S = ( 15 + 13 + 14 ) / 2S = 42 / 2S = 21\xa0Now, area of triangle= √S (S–A) (S–B) (S–C)= √21 (21–15) (21–13) (21–14)= √21 (6) (8) (7)= √7056= 84 cm2Again,area of triangle = 1/2×base×altitude=84 cm21/2×14×altitude = 847 × altitude=84altitude = 84/7Altitude = 12cmTherefore, the area of ∆ABC is 84cm² and its altitude on AC is 12 cm.\xa0 |
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| 5061. |
3.3 bar express in the form p byq where p and q are integers and q not equal to 0 |
| Answer» x=3.3barx=3.3333... -I10x=33.333... -IIII-I10x-x =33.333... -3.333...9x=30x=30/9x=10/3 | |
| 5062. |
5x^2 -3x+7-(x-1) |
| Answer» 5x2 -3x+7-(x-1)= 5x2 - 3x + 7 - x + 1= 5x2 - 4x + 8 | |
| 5063. |
5x^2_20xy |
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| 5064. |
√6x^2y+(2x+√6)y+3xy |
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| 5065. |
Write four rational no between -1and 1 |
| Answer» We need to make the whole numbers as a rational number by multiplying and dividing the numerator and the denominator with the same numberThus, We have,-1\xa0=\xa0{tex}-\\frac{1}{1}=\\frac{-1 \\times 10}{1 \\times 10}=-\\frac{10}{10}{/tex}1 =\xa0{tex}\\frac{1}{1}=\\frac{1 \\times 10}{1 \\times 10}=\\frac{10}{10}{/tex}So, {tex}-\\frac{9}{10}<-\\frac{8}{10}<-\\frac{7}{10}<-\\frac{6}{10}<-\\frac{5}{10}<-\\frac{4}{10}<-\\frac{3}{10}{/tex}or - 1\xa0{tex}-\\frac{9}{10}<-\\frac{8}{10}<-\\frac{7}{10}<-\\frac{6}{10}<-\\frac{5}{10}<-\\frac{4}{10}<-\\frac{3}{10} < 1{/tex}{tex}\\therefore{/tex}\xa0four\xa0rational numbers between –1\xa0and 1 are{tex}-\\frac{9}{10},-\\frac{8}{10},-\\frac{7}{10},-\\frac{6}{10}{/tex} | |
| 5066. |
Find rational number between 4/5 and 6/7 |
| Answer» First we will take L.C.M. of 5 and 7= 354×7/5×7 and 6×5/7×528/35 and 30/35The rational number is 29/35 | |
| 5067. |
Represent on number line 2•365 |
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| 5068. |
If [2/3]^x . [3/2]^2x = 18/16 find x |
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| 5069. |
rational numbers between -1 and -2 |
| Answer» We can use 2 methods 1. -1 + -2/2 take out 3-4 no2.multiplying both no. By100/100 or other no. Equal to1 and writing the no b/w | |
| 5070. |
(3x+4y)(8x-3y) |
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Answer» (3x+4y)(8x-3y)= 3x (8x - 3y) + 4y (8x - 3y)= 24x2 - 9xy + 32xy - 12y2= 24x2 + 23xy - 12y2 11x-y |
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| 5071. |
PQRS is a parallelogram. The bisector of angle P and angle Q meet at O. Prove that angle PQR=90° |
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| 5072. |
Evaluat the following product without multiplying directly 101X99 |
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Answer» 101 × 99= (100 + 1) (100 - 1)= (1002 - 12 ) (because a2 - b2 = (a - b) (a+b))= 10000 - 1= 9999\xa0 9999 |
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| 5073. |
If x+1/×=1 than find the value of 2/x^2+x+2 |
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| 5074. |
Represent root7on a number line by spried methode |
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| 5075. |
Find four different solution s of the equation x+2y = 6 |
| Answer» \xa0(2, 2), (0, 3), (6, 0) and (4, 1). | |
| 5076. |
If X³+aX²+bx+6 is divisibleny x-2 and leaves remainder 3 wjen divided by x-3 , find a and b |
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Answer» Behn ke ,,,,,,,,,,,,,, Hh |
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| 5077. |
Find the values of a and b in the following √3-1/√3+1= a+b√3 |
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| 5078. |
write down five irrational number between 5&6 |
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Answer» 5.1/5 ,5.2/5 ,5.3/5 ,5.4/5 ,5.5/5 5010010001... ,5020020002... |
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| 5079. |
Find a rational number between 2 by 9 and 3 by 8 and arrange in descending order |
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| 5080. |
3-under root5 upon 3 plus 2 under root 5 is equal to a under root 5 minus 9 upon 11 |
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| 5081. |
2^1/3 ×3^1/4 |
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| 5082. |
（999）² |
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Answer» Thanks 9992 = (1000 - 1)2Using identity, (a - b) 2 = a 2 + b 2 -2ab(1000 - 1)2 =(1000) 2 + (1) 2 - 2(1000×1)= 1000000 + 1 - 2000= 1000001 - 2000= 998001\xa0 |
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| 5083. |
15÷√10+√20+√40-√5-√80,if√5=2.236and√10=3.162 |
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| 5084. |
Rs aggarwal EXERCISE 1F .qustion no 2 to 25 all |
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| 5085. |
Find the square root of14+6√5 |
| Answer» X=a+- root a^2-b /214 + root 180a^2-b = 14^2 - 180 = 16Root 16 is 414+4/2, 14-4/2 9,5 Square root =root 9+ root 5=3+root 5 | |
| 5086. |
Six rational between 7and 9 |
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Answer» We know that there are infinite rational numbers between any two numbers. A rational number is the one that can be written in the form of {tex}\\frac{p}{q}{/tex}, where p and q are integers and {tex}q \\ne 0{/tex}\xa0We know that the numbers all lie between 3 and 4. We need to rewrite the numbers in {tex}\\frac{p}{q}{/tex}\xa0form to get the rational numbers between 3 and 4. So, we cover it in{tex}\\frac{p}{q}{/tex}{tex}\\eqalign{ & {7 \\over 1} = {7 \\over 1} \\times {{10} \\over {10}} = {{70} \\over {10}} \\cr & {9 \\over 1} = {9 \\over 1} \\times {{10} \\over {10}} = {{90} \\over {10}} \\cr} {/tex}So any six number between {tex}{{70} \\over {10}},{{90} \\over {10}}{/tex}will be the answer example {tex}{{71} \\over {10}},{{73} \\over {10}},{{74} \\over {10}},{{75} \\over {10}},{{77} \\over {10}},{{78} \\over {10}}{/tex}\xa0\xa0 7=7.0 and 9= 9.0The required numbers are = 7.1,7.2,7.3,7.4,7.5 ,7.6 |
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| 5087. |
Find five number between 1 and 2 |
| Answer» 1 and 21×10=102×10=20= 11,12,13,14,15The five number between 1 and 2 | |
| 5088. |
Which is greater among √2 , ^3√4 , ^4√3 |
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Answer» = 212,413,314= 2612,4412,3312 [Making all the powers as like terms]= 26−−√12,44−−√12,33−−√12= 64−−√12,256−−−√12,27−−√12Here 256−−−√12 is greater.Therefore, 4–√3 is greater. Give me solution ^4√3 |
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| 5089. |
Find the rational number between 2/4 and 4/8 |
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Answer» Sry without knowing %9%9 |
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| 5090. |
(2x+1/x)^2 |
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| 5091. |
is x to power 125 a polynomial |
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Answer» A polynomial is an expression consisting of variables (also called indeterminates) and coefficients.Therefore, x125\xa0= 0 is a polynomial. Yes. It is a poly nomial Yes |
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| 5092. |
Simplify 3√45-√125+√200-√50 |
| Answer» 3Г45-75Answer | |
| 5093. |
Find the two rational numbers between ½ and ⅓ |
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| 5094. |
The number of rational numbers between the rational numbers 1/3 and 1/2 are.... |
| Answer» Infinite | |
| 5095. |
Factorize x^4 +1 |
| Answer» {tex}x ^ { 4 } - 1 = \\left( x ^ { 2 } + 1 \\right) ( x + 1 ) ( x - 1 ){/tex} | |
| 5096. |
What is the sum of Quadrilateral |
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Answer» Sum is 360 Sum of angles of a quadrilateral =360 360 |
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| 5097. |
find the antilog of 2.569765 |
| Answer» 371.33424 | |
| 5098. |
The sides of a triangle are35cm,54cm, &61cm .The length of its longest altitude |
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| 5099. |
3−√53+2√5= ?√5 −1911, ???? ? |
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| 5100. |
Rationalnumber |
| Answer» Numbers in the form of p/q where p and q are integers and q is not equals to zero | |