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.
| 71151. |
4 911 646863 ?101212a) 43c) 41b) 49d) 47Give ans.. |
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Answer» (b) is right answer of this question. please like my answer b is the right answer of the given question.please like my answer |
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| 71152. |
Q 26: Solve the equation: 2(x-3% + 3(x-2)(2x-3) = 8(x + 4)(x-4)-1 |
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| 71153. |
4 ^ { x - 1 } \times ( 0.5 ) ^ { 3 - 2 x } = ( \frac { 1 } { 8 } ) ^ { x } |
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Answer» What is this? |
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| 71154. |
16 x y ( 4 x ^ { 2 } - 1 ) \div 8 x ( 2 x + 1 ) |
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| 71155. |
\frac { 1 } { x ^ { 2 } - 8 x + 15 } + \frac { 1 } { x ^ { 2 } - 4 x + 3 } - \frac { 1 } { x ^ { 2 } - 6 x + 5 } |
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| 71156. |
A(1Markeac1. The smallest positive integer is2. The reciprocal of - 8 is13133. If 3x 9 then x4. Additive inverse of the integer 8 is5.5500 Gram =Kilo Grams. |
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Answer» a) the number 1 is the smallest positive integer. |
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| 71157. |
3. Find five rational nur3 2_ and |
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| 71158. |
Q1.Chapter. Trace VaryIn which of the following numbers is the place value of the digit '3' the greatestA 378B. 430C. 673D. 739 |
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Answer» (d)739 is the correct answer 378 is the correct answer 378 is the following question answer. option (A) is the correct answer. A. 378 place value of 3 is 300. |
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| 71159. |
24724724B)7-25(D) 24The value of sin x , x lies in 2nd quadrantthen the value of tan x is:(A)24(C) 2425724(B) 7-25247(D) |
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| 71160. |
To determine dearness allowance which 12type of index number used?(A)Price index number(B)Quantity index number(C)Consumer price index number(D) of these15. Calculate the Cost Living Index Number1Items PoAT 5Bc 10Qc43&P1610124156(A)112.75(B) 125.92(C) 118.65(D) of these16. If a person earn 3,000 in base year and thecurrent year CPI is 120, then what should behis income in current year so that hemaintained his living standard of base year?(A) 3,000/-(B) 2.400/-(C) 4,800/-(D) 3,600/- |
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Answer» 14. C (Consumer Price Index Number) the correct answer for 14th one is option C 14. C is the correct answer |
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| 71161. |
In how many ways can a student choose a programme of 5 courses if 9 coursesare available and 2 specific courses are compulsory for every student? |
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| 71162. |
(i) In order to pass an examination, minimum marks are to be secured in each of theseven subjects. In how many ways, can a student fail? |
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Answer» if he fail in one subject then also he is considered to failso number of ways=7×6×5×4×3×2×1=7!=5040 no.of subjects=7no.of ways to fail=7*7=49 |
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| 71163. |
The maximum length of the stick that can be placed in a cuboid, whose measuryments are 8 x 4 x 1, is |
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Answer» The maximum length of stick that can be placed in cuboid is equal to length of diagonal of cuboid. Diagonal of cuboid= sqrt(length^2 + breadth^2 + height^2)= sqrt(8*8 + 4*4 + 1*1)= sqrt(64 + 16 + 1)= sqrt(81)= 9 Therefore, maximum length of stick = 9 |
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| 71164. |
E 11.1square and a rectangular field withments as given in the figure have the samecter. Which field has a larger urea |
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| 71165. |
19.3x-8If! 3133 3 13x-8 3 = 0, then x =3 3x8 |
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Answer» x=2/3,11/3is the correct answer x=8/3 is the correct answer |
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| 71166. |
vhat number must be subtracted from each term of the ratlo 171. What nurbecomes 7 15?17: 33 so that the ratio |
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| 71167. |
Q. What is memory trace ? |
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Answer» A transient or long-term change in the brain that represents something (such as an experience) stored as a memory. |
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| 71168. |
Knowing our numbers chapter concepts are ? |
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Answer» What are Natural numbers? Counting numbers 1, 2, 3, 4, ...... etc. are called Natural numbers. The smallest natural number is 1 and there is no largest natural number. Digits and Place value Numbers are formed using the ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. These symbols are called digits or figures.To find the place value of a digit in a number, multiply the digit with the value of the place it occupies. Comparison of Numbers We often need to compare the two or more numbers. Here are some of the ways it can be performed easily1) If two numbers have unequal number of digits, then the number with the greater number of digits is greater.2) If two numbers have equal number of digits then, the number with greater valued digit on the extreme left is greater. If the digits on extreme left of the numbers are equal then the digits to the right of the extreme left digits are compared and so on. Examplea) Comparison between 358 and 4567AnswerHere 4567 has four digits and 358 has three digits, so clearly 4657 is greater than 358b)Comparison between 1345 and 2456AnswerHere both the number have same digit, So we need start looking at the extreme left digit1345 -> 12456 -> 2Now 2 > 1So we can clearly state 2456 > 1345c)Comparison between 4345 and 4656AnswerHere both the number have same digit, So we need start looking at the extreme left digit4345 -> 44656 -> 4As they are same, we need start looking at second extreme left digit4345 -> 34656 -> 6Now 6> 3So we can clearly state 4656 > 4345 Some important termsThe arrangements of numbers from the smallest to the greatest is called ascending order.The arrangement of numbers from the greatest to the smallest is called descending order. ExampleArrange the following in ascending order: 5392, 5782, 5789, 5654AnswerThe above rules of comparison can be applied here also.Here all the number are of same number of digit and extreme left digit is also same. So we need to look at second extreme left digitSo 5782,5789 > 5654 > 5392Now in 5782,5789, unit place makes the comparison easier5789> 5782 > 5654 > 5392So ascending order would be5392 < 5654 < 5782 < 5789 Place Value of digit Let’s discuss the place value of digits in the number and how a number can be written in that formIndian system of numerationValues of the places in the Indian system of numeration are Ones, Tens, Hundreds, Thousands, Ten thousands, Lakhs, Ten Lakhs, Crores and so on.The following place value chart can be used to identify the digit in any place in the Indian system.CroreslakhsThousandsOnesTensOnesTensOnesTensOnesHundredsTensOnes Example5,46,851 = 5 × 1,00,000 + 4 × 10,000 + 6 × 1,000 + 8 × 100 + 5 × 10 +1 × 1This number has 1 at one’s place, 5 at tens place, 8 at hundreds place, 6 at thousands place, 4 at ten thousands place and 1 at lakh place.Number Name are also written based on the place value name. So Its number name is Five lakh forty-six thousand eight hundred fifty-one We can use below table format for easily reading and writing the NumberTensLakhOnesLakhTensthousandOnesthousandHundredstensOnesNumber Name546851Five lakh forty-six thousand eight hundred fifty one3275829Thirty two lakh Seventy-five thousand eight hundred twenty nine Use of CommasCommas added to numbers help us read and write large numbers easily. As per Indian Numeration, Commas are used to mark thousands, lakhs and crores. The first comma comes after hundreds place (three digits from the right) and marks thousands. The second comma comes two digits later (five digits from the right). It comes after ten thousand place and marks lakh. The third comma comes after another two-digits (seven digits from the right). It comes after ten lakh place and marks crore Examples1, 08, 01, 9922, 32, 40, 5813, 17, 05, 062 International system of numerationValues of the places in the International system of numeration are Ones, Tens, Hundreds, Thousands, Ten thousands, Hundred thousands, Millions, Ten millions and so on.1 million = 1000 thousands,1 billion = 1000 millions Following place value chart can be used to identify the digit in any place in the International system.BillionsMillionsThousandsOnesHundredsTensOnesHundredsTensOnesHundredsTensOnesHundredsTensOnesUse of CommasAs per International Numeration, Commas are used to mark thousands and millions. It comes after every three digits from the right. The first comma marks thousands and the next comma marks millions. For example, the number 10,101,592 is read in the International System as tem million one hundred one thousand five hundred ninety-two. In the Indian System, it is 1 crore one lakh one thousand five hundred ninety-two. Estimation of the Numbers A reasonable guess of the actual value is called an estimate.A quick, rough estimate of the result of number operations can be done by rounding off the numbers is involved.Rules of Estimation1)Estimating numbers to the nearest tens is done by rounding off numbers 1, 2, 3 and 4 to 0 and number 6, 7, 8, 9 to 10.2) Estimating numbers to the nearest hundreds is done by rounding off numbers 1 to 49 to 0 and numbers 51 to 99 to 100.3) Estimating numbers to the nearest thousands is done by rounding off numbers 1 to 499 to 0 and the numbers 501 to 999 to 1000.Estimation involves approximating a quantity to an accuracy required. We can apply the above rules depending on the accuracy required.We can estimate Sum, difference and Multiplication by applying the rules of estimation also. We can apply the above rules depending on the accuracy required and how quickly answer can be find out Roman Numerals Roman Numerals system is another system used apart of Hindu-Arabic system.The Roman numerals areI1II2III3IV4V5VI6VII7VIII8IX9X10X111X1112XX20L50C100D500M1000Rules of the system1) In Roman numerals a symbol is not repeated more than three times, but the symbols V, L and D are never repeated.2) Roman numerals are read from left to right and the letters of Roman numerals are arranged from the largest to the smallest.3) If a symbol of smaller value is written to the right of a symbol of greater value, then its value gets added to the value of greater symbol.VI = 5 + 1 = 64) If a symbol of smaller value is written to the left of a symbol of greater value, its then value is subtracted from the value of the greater symbol.IV = 5 – 1 = 45)The symbol I can be subtracted from V and X only.The symbol X can be subtracted from L, M and C only. Importance of Brackets Brackets help in simplifying an expansion with more than one mathematical operation.In an expression that includes brackets, the numbers inside the brackets must be simplified into a single |
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| 71169. |
2.Rare defined by f(x) = 2x+3. g(x) = x+7, then the values of 'x' for whichIf / R R.8:Rf(g(x)]=25 are |
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| 71170. |
4x(x + 1)(x + 2)(x + 3) รท2x(x + 2)r(r r |
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Answer» please like the solution 👍 ✔️ |
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areThedefined asfunctions f : R → R, g : R → R0 when x is rationalI whenx is irrationalf(x)-1 when x is rationalg(x)=10 when x is irrationalthen (fog)(r)t(gof)(e) = (EAM-01) |
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| 71172. |
36. The function lcowhere I 1 denotes the greatest integer function, is(21-1)πdiscontinuous at(a) all x(c) no x(b) all integer points(d) x which is not an integer |
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| 71173. |
Simplify each of the following expression (3+\sqrt{3})(2+\sqrt{2}) |
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| 71174. |
A-1. There are nine students (5 boys & 4 girls) in the class. In how many waysOne student (either girl or boy) can be selected to represent the class.() A team of two students (one girl & one boy) can be selected(ii) Two medals can be distributed. (no one get both)(iv) One prize for Maths, two prizes for Physics and three prizes for Chemistry can be distributed.(No student can get more than one prize in same subject & prizes are distinct) |
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Answer» 1.out of total 10 studentsselection of 1 is:10C1= 10!/9!1! = 10 ways |
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2(x+3)-3x=8-2(2x-5) |
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Answer» 2x+6-3x = 12x-60-x+6 = 12x - 606+60 = 12x + x66 = 13x X = 66/13x = 5.07 |
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13. Two numbers are in the ratio 5:9. On subtracting 3 from each, the ratio becomes 1 : 2. Findthe numbers. |
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Two numbers are in the ratio 5:9. Onthe numbers.13.subtracting 3 from each, the ratio becomes 1 :2. Find |
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2 22roadn the Americas and visiting moreview of the worldall the direDe a tough challenge and makes |
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Answer» 2×1=22×2=42×3=62×4=82×5=102×6=122×7=142×8=162×9=182×10=20 2X2=4 is the right answer |
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Find the area of the parallelogram whoseadjacent sides are determined by the vectors.a=i-1+3k and b=2-7j+k |
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Answer» 15√2sq.unit is the correct answer 😀 15√2 is correct answer. |
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| 71180. |
If the adjacent sides of a parallelogram are inthe ratio 2:3 and the sum of all the sides is50 cm, find the measure of the sides of theparallelogram |
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Answer» Sum of all side is 50 which is perimeterLet assume ratio of adjacent side is xsosides are 2x, 3xso perimeter of parallelogram is 2×(L+B)2(5x) = 50x = 5so sides of parallelogram are 10, 15 Is the above answer correct??Please tell |
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Show that the function defined by g (r)-r -[x] is discontinuous at all integralHere [r] denotes the greatest integer less than or equal to x |
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Show that the function defined by g(x) = x - (x) is discontinuous at all nearpoints. Here [x] denotes the greatest integer less than or equal to x |
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| 71183. |
divide the following expression (x^5-y^5) by (x-y) |
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Answer» (x^5−y^5)/(x-y)=[(x−y)(x^4+x^3y+x^2y^2+xy^3+y^4)]/(x-y)=x^4+x^3y+x^2y^2+xy^3+y^4 |
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by 3 then fracton becomes 1/2. Find the fractiontor 1dm and heinht 24m Find the |
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Answer» Let call our fractionxy, we know that: x+y=12 and xy+3=12 from the second: x=12(y+3) into the first: 12(y+3)+y=12 y+3+2y=24 3y=21 y=21/3=7 and so: x=12−7=5 |
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2. Complete the table.Second expressionb+c+d5xy6p2 - 7p+ 5ProdnctFirst expressionIlx + y-5iv)4pqa+b+cabc |
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| 71186. |
s. In the adjoining figure, it is given that AB II CD. ZABO 50° and AFind the measure of BOD.Hint. Through O drau, BOF 11 AB.40 |
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| 71187. |
F ind the value oF K For Which one roor of equation k x=14 x+8=0 is 22 |
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Answer» The root of the equation is 2. Therefore,x=2 satisfies the given equation. So, we can write, k(2)^2-14(2)+8=0. k(4)-28+8=0k(4)-20=0k(4)=20k=20/4=5So,the value of k is 5. |
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ind the values of the constant a and b for whichsin x x cos x (5 tan x + 2 cot x) = a + b sin2 x. |
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| 71189. |
\left. \begin{array} { l } { \text { ind the values of x which satisfy the equation } \sqrt { 3 x + 7 } - \sqrt { 2 x + 3 } = 1 } \\ { ( 2 ) 4,3 } \end{array} \right. |
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| 71190. |
1. In the adjoining figure AB II CD(2x)Find the values of x and yGive reasons3x |
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Q. 42. If 3x = tan 30° find x. |
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Answer» 3x=tan30; 3x=1/V3; x=1/3V3 Since 3x=1/√3So, x=1/3×√3Hence, x=3√3 |
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Draw the graph of the following: (Q. 1-Q. 4)1. y = 3x2. y =-2x3¡y=5x40 |
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Answer» 1. 2. 3. 4. 4. |
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| 71193. |
mangoes Ti vere TUITUT6. In a class of 50, 23 were girls and the rest were boys. What is the percgirls and the percentage of boys? |
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Answer» Percentage of girls =( No. of girls/No. of students )×100 =23/50×100 =46% Percentage of boys = 100- Percentage of girls =100-46 =54% |
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16. If 3x + 4yHi16 and 3x-4y 4, find the value of xy.nt: Use the formula (p + q)(p-) 4pq.] |
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| 71195. |
37䟢ĺş6.29aft AB ll CD, CD II EF 3tr |
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-378x + 152y604BCD is a cyclic quadrilateral (see Fig. 3.7). Find the angles of the cyclic quadrilateral.8. A- 4x3y-5 |
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| 71197. |
Example 1 : Find the area of a triangle, two sides of which are 8 cm and 11 cm andthe perimeter is 32 cm (see Fig. 12.6). |
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| 71198. |
e adjoining figure AB II CD and EF II BC.IZBAC -71.ZCHE = 49" Find ZAGH. |
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Answer» your answer is 120° is the answer |
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| 71199. |
In Fig. 6.29, if AB lI CD, CD II EF and y:z::3:7, find x. |
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Answer» let the ratio be cso angles y and z are 3c and 7c As y+z = 180°10c = 180°c = 18°so angle = 18°×3 = 54°7c = 7×18° = 126°z = x = 126° |
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ахQue. 3. Evaluatex2-6x+13 |
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