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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.
| 75951. |
13. Solve the quadratic equation 9y2 -100 0 byfactorization method. |
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Answer» factorization method please (3y-10)(3y-10) is factorised eq. (3y-10)(3y+10) is the correct answer |
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| 75952. |
A tower stands vertically on the ground. The angle of elevation of the top ofthe tower from a point on the ground, which is 90 m away from the foot ofthe tower is 30°. Find the height of the tower (Take V3 = 1.73) |
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| 75953. |
ExerciseThe length of a chord of a circle is equal to the radius of the circle. Find the ratio of the distance of thechord from the centre to the radius of the circle.1. |
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Answer» In ΔOAB,AB = OA = OB (radii)Hence ΔOAB is an equilateral triangleThat is each angle of ΔOAB is 60°∴ ∠AOB = 60°∠AOB = 2∠ACB [Angle subtended by an arc of a circle at the centre is double the angle subtended by it on any part of the circle]Hence∠ACB = 30°In cyclic quadrilateral ADBC∠ADB +∠ACB = 180° (Sum of opposite angles in cyclic quadrilateral is 180°)⇒ ∠ADB = 180° − 30° = 150°Therefore, angle subtended by the chord at a point on the major arc and the minor arc are 30° and 150° respectively. |
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| 75954. |
3 cm2 cm4 cm |
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| 75955. |
Divide 150 into three parts such that the second number is the five-sixth of the first number, and that number is four-fifth of the second. |
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Answer» Let the 3 parts be a, b, and cgiven:pat 1xsecond part 5/6 of x is 5x/6third part 4/50f second part4/5 x 5x/6 =2x/3sum of three parts is 150x+5x/6+2x/3=1506x+5x+4x =6 x 15015x = 6 x 150x =6 x 150 /15= 60three parts of 150 are respectivelyThe lengths are 60, 50, and 40 |
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| 75956. |
The houses of a row are numbered consecutively from 1 to 49. Show that there is a valueof z such that the sum of the numbers of the houses preceding the house numbered x issqual to the sum of the numbers of the houses following it. Find this value of x. |
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| 75957. |
EspreExpress the following rational numbersas decimal numbers 2520 |
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Answer» decimal form is 1.25 |
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| 75958. |
Using factorization method, solve the quadratic equation: 6x2+ 5x-60 |
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| 75959. |
13. Solve the quadratic equation 9y2- 100-0 byfactorization method. |
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| 75960. |
Zn + 2HCI ------> ZnCl2+ H2 is a reaction |
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Answer» this is example of redox reaction. |
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| 75961. |
19. The area of an equilateral triangle is 49/3 cm2. Taking each angular pointas centre, circles are drawn with radius equal to half the length of the sideof the triangle. Find the area of the triangle not included in the circles.(Take-3 = 1.732) |
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Answer» thanks |
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| 75962. |
of the correspondingThe area of an equilateral triangle is 49 cm. Taking each angular point as centre, circles ardrawn with radius equal to half the length of the side of the triangle. Find the area of triangle notincluded in the circles. [Take v3 1.732126- |
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| 75963. |
Expressthe following as mixed fractions2017(C281935s (e) |
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| 75964. |
express a mixed fraction as an impropWhole x Denominator) + NutumeratorDenominatorEXERCISE 7.2number lines and locate the points on thenm2 3 85s the following as mixed fractions:17the following as improper fractions6(b) 5 ( 22(d) 10 (e) 9 |
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| 75965. |
CBSE 2011]2The area of an equilateral triangle is 49/3 cm 2. Taking each angularpoint as centre, circles are drawn with radius equal to half the length ofthe side of the triangle. Find the area of the triangle not included in theCBSE 2009circles. Take V3 = 1.73] |
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| 75966. |
9. Which of the following is the second lowest number when each of the digits of the given numbers are arranged in descending order?(A) 836(E) of these(B) 743(C) 348(D) 534(E) of these |
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Answer» tggghhhggggghhhvcf 534 836>863743>743348>843534>543second lowest number is 743 |
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| 75967. |
7. Starting with the greatest seven-digit number, write its preceding five numbers in descending order8. Starting with the smallest six-digit number, write its five succeeding numbers in ascending order |
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| 75968. |
Arrange the following rational numbers in ascending orderor on the number lin |
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| 75969. |
8.If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the samewould weigh 16 kilograms? |
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Answer» Weight of 12 sheets = 40 g1g = (12/40) sheets16(2/3) = 50/316(2/3) g = (12/40) × (50/3) sheets = 5 sheets 5000 SorryPehle wrong hogaya Weight of 12 sheets = 40g1g = (12/40) sheets16(2/3) kg = 50000/3 gNumber of sheets = (12/40) × (50000/3) = 5000 sheets |
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| 75970. |
If the weight of,6 sheets of paper be 45 grams, how many sheets of the same papewould weigh 1 kilograms?2 |
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Answer» 45÷6=7.57.5×3|2=1125pages answer |
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| 75971. |
find the root of the following quadratic equation by factorization method z square -Z + 1 upon 4=0 |
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Answer» z=1/2 is the answer of this question |
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| 75972. |
x+ 17-7=20 |
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Answer» x+17-7=20.x-10=20x=20+10x=30 X+17-7=20X+10=20X=20-10X=10 10 is the right answer like my answer and accept best I post questions for you 10 is the correct answer x + 17 - 7 = 20x + 10 = 20x = 20-10x = 10 |
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| 75973. |
Express the following as mixed fractions17720(c281935 |
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| 75974. |
17. Find the coordinates of the centre of the circle inscribed in a triangle whose angular pointare (-36, 7), (20, 7) and (0, -8). |
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| 75975. |
17, Two circles touch externally. The sum of their areas is 130Ď sq. cm and the distance betweentheir centres is 14 cm. Find the radii of the circles. |
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| 75976. |
17. Two circles touch externally. The sum of their areas is 130Ď sq. cm and the distance betweentheir centres is 14 cm. Find the radii of the circles. |
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| 75977. |
Arrange the following rational numbersdescending order.17203 7-11(a) 10150 and |
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| 75978. |
17. Two circles touch externally. The sum of their areas is 130T sq. cm and the distance between//their centres is 14 cm. Find the radii of the circles. |
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| 75979. |
30the S8.travel in 5 hours?If the weight of 12 sheets of thick paper is 40 grams, how many sheets of thewould weigh 16 kilograms?. |
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Answer» i don not know this answeer 40grams is the weight of 12 sheets so, 1 gram will be the weight of=12/40 sheetsnow, 16×3+2/3=50/3kg.50/3kg.=50000/3grams so 50000/3 grams weight will be of=(12/40)×(50000/3)=(12×50000)/(120)=5000sheets ans. 5000 sheets is correct answer. |
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| 75980. |
(-11)/5 %2B (-2)/3 %2B 3/5 %2B 4/3 |
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Answer» the answer of this question is 6 over o 4/3-2/3+3/5-11/5=2/3-8/5=10-24/15=-14/15 |
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| 75981. |
EXMultiple Choice QuestionsWhich of the following is correct?() {7} & {1,2,3,4,5,6,7,8,9,10}(3) 7€ {1,2,3,4,5,6,7,8,9,10}The set P = {x | x € Z ,-1< x < 1} is a(1) Singleton not |
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Answer» 1 answer is correct for given question |
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| 75982. |
Two circles touch externally. The sum of their areas is 130 pi sq. cm and the distance between theircentres is 14 cm. Find the radii of the circles. |
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| 75983. |
Express the following as mixed fractions:\begin{array}{lll}{\text { (a) } \frac{20}{3}} & {\text { (b) } \frac{11}{5}} & {\text { (c) } \frac{17}{7}}\end{array} |
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Answer» 20/3 = 6 2/3 11/5 = 2 1/5 17/7 = 2 3/7 |
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| 75984. |
2-120° and5-600 show that miln14. In Fig. 40 if237 477 8Fig. 4015. In Fig.41, if 23 61 and 27 118. Is mlln?234PI8/ 7Fig. 41 |
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| 75985. |
Two circles touch externally. The sum of their areas is 130* pi sq cm and the distance between their centres is 14 cm. Find the radii of the circles. |
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Answer» how yu do this please explain |
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| 75986. |
all LCD alu digul I Lalu PII LEA rectangular vessel 22 cm by 16 cm by 14 cm is full of water. If the total water is pouredinto an empty cylindrical vessel of radius 8 cm, find the height of water in the cylindricalvesselh 11 cmIt is |
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| 75987. |
Find the median and mode of the following data and comparethe results.7, 4, 12, O, 5, 7, 3, 10, 8, 8, 12, 5, 7 |
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| 75988. |
EXERCISE 4-6Solve the following equations :1x+2 8+6 x-1||1. (x+6 X-1 *+2=0.Ir-1 8+2 X+6 . |
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| 75989. |
5/9+6/8+9/8-6/5=? |
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Answer» 1.23055555556 the correct answer 1.230 is the correct answer 1.23055 is correct answer 1.230 is the correct answer (5/9+6/8+9/8)-6/5175/72-6/5443/3601•23055 1.230 is correct answer |
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| 75990. |
1. Compare the fractions:(i) 2 and8712 |
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Answer» 5/8 is greater than 7/12. |
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| 75991. |
c) Convert the following fractions into like fractions1)2)11 511 43)4 1215 5 |
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| 75992. |
MatWowfractions in descending onange the following fractions3 7 7 1748122410 15al sol |
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| 75993. |
4 7 11 177 TO 15 201 (a).Arrange the following fractions in ascending order:3 7 7 1713 12 24(b) Arrange the following fractions in descending order: |
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| 75994. |
\left[ 3 \frac { 1 } { 4 } + \left\{ 1 \frac { 1 } { 4 } - \frac { 1 } { 2 } \left( 2 \frac { 1 } { 2 } - \frac { 1 } { 4 } - \frac { 1 } { 6 } \right) \right\} \right] |
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| 75995. |
- 10 are multiple choice questions. Select the mosten options.HCF of 168 and 126 is(a) 21(b) 42(c) 14 |
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Answer» plzz enter class plzz enter class 42 is the most appropriate answer the HCF of 168 and 126 is 42 |
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| 75996. |
\operatorname sin \frac \pi 14 \operatorname sin \frac 3 \pi 14 \operatorname sin \frac 5 \pi 14 |
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Answer» Use sin x =cos(pi/2 -x) and cos x = sin(pi/2 + x),sin(pi/14) = cos(6pi/14), sin(3pi/14)=cos(4pi/14), sin(5pi/14)=cos(2pi/14), sin(7pi/14)=1,sin(9pi/14)=sin(pi/2 + 2pi/14)=cos(2pi/14), sin(11pi/14)=cos(4pi/14) and sin(13pi/14)=cos(6pi/14). So, total product = [cos(2pi/14) * cos(4pi/14) * cos(6pi/14)] ^ 2.Multiply and divide by sin2(2pi/14),product = [sin(2pi/14) * cos(2pi/14) * cos(4pi/14) * cos(6pi/14) / sin(2pi/14)] ^ 2,Use sin2x = 2*sin(x)*cos(x),product = ¼ * [sin(4pi/14) * cos(4pi/14) * cos(6pi/14) / sin(2pi/14) ] ^ 2,use sin(2x) identity again,product = 1/16 * [sin(8pi/14) * cos(6pi/14) / sin(2pi/14) ] ^2,Use [ 2 * sin a * cos b = sin(a+b) + sin(a-b) ],product = 1/64 * [ (sin(14pi/14) + sin(2pi/14))/sin(2pi/14) ] ^2,sin(14pi/14) =0 and sin(2pi/14) will get cancelled,So,Product = 1/64 |
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| 75997. |
Compare 7/8 and 5/6 |
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| 75998. |
Compare the fractions:(i) and8712 |
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| 75999. |
C. Arrange the following fractions in1. 3/5 , 4/5 , 1/5 ,5/5 |
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Answer» 1/53/54/55/5 because we only arenge into aline |
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| 76000. |
(6, 4,-5) 14,-2, 3)貢恋TTFind the equation of plane passing through thepoints (1, 1,-1), (6, 4, -5) and (-4,-2, 3) |
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