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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.
| 71501. |
TheT.V. news started at 7:30 a.m. and it ended at 8:05 a.m. For how longdid the T.V. news last? |
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Answer» the tv news lasted for 35 minutes |
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| 71502. |
18. The difference between any two consecutive interior angles of a polygon is ".If the smallest angle is 120°, find the number of the sides of the polygon. |
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Answer» there should be only one answer. 9 or 16 the answer is 9 but I don't know how plz let me know I anyone got it |
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| 71503. |
4 Probability of an event E+ PP8Bablity U5 Ifn" term of an A.P. is (2n + 1). What is the sum of its first three terms?l uie Co F'nd the value ofa, for which point P (a/3, 2) is the mid-point of the line segment joining thepoints Q (-5, 4) and R (-1, 0).(2 |
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Answer» If nth term of an A.P = 2n+1then, first term of A.P = 2(1)+1= 2+1= 3then, second term = 2 (2) + 1=4+1=5third term = 2 (3) +1=6+1=7sum of terms = 3+5+7sum of terms = 15 question no.6 |
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| 71504. |
A number consists of two digits whose sam is 9. If 27 is subtracted from the number itsdigits are reversed. Find the mumber. |
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| 71505. |
*Q. 5. Detcrnine y when the slope of the line joining the pointsA8 11) and B (2, )is-43 |
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Answer» slope = (y-11)/(2-(-8)) = (y-11)/10 = -4/3 => y-11 = 40/3=> y = 11+40/3 = 73/3 |
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| 71506. |
9. Find k if the line passing through points P(-12,-3) and 0(4, k)has slope10. Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the line11. Show that points P(1,-2), Q(5,2), R(3,-1)12. Show that the [ ] PQRS formed by P( 2,1), Q(-1,3), R(-5-3) and S(-2,-5)13. Find the lengths of the medians of a triangle whose vertices are A(-1, 1),joining the points C(2,4) and D(1,7).parallelogramrectangleB(5, -3) and C(3, 5), S(1,-5) are the vertices of ais a |
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| 71507. |
Calculate the distance between the points P(2,2),Q(5, 4) correct to three decimal places. (Do notconsult the tables) |
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Answer» The answer is 3.61 units. please solve sum fully |
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| 71508. |
9. In figure 3.89, line 1 touches tecircle with centre O at point P. Qithe mid point of radius OP. RS is a chorthrough Q such that chords RS | lineIfRS 12 find the radius of the circle. |
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Answer» OQ is perpendicular to QR .So, OR² = RQ² + OQ²OQ = r/2OR = rRQ = RS/2 = 6 So, r² = 36 + r²/4 which gives r= 4√3 |
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| 71509. |
TVnews started at 7:30 a.m. and it ended at 8:05 a.m. For hownThedid the TV. news last? |
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Answer» TV news started at 7:30 am TV news ended at 8:05 am Time taken by news = 8:05 - 7:30 = 35 min |
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| 71510. |
9. One of the exterior angles of a triangle is 100° and its interior opposite angles are equalWhat will be the measure of each of these interior angles of the triangle? |
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Answer» Let the two interior opposite angle be =x Measure of the exterior angle of the triangle.Therefore, x+x =100 degree ( by exterior angle)2x= 100 degreex= 100degree ÷2=50 degreetherefore the measure of the two interior angle are 50 degree |
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| 71511. |
Which angles are alternate interior angles?ăGand LFGJ |
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Answer» angle KJG and angle FGJ are alternate interior angle |
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| 71512. |
A number consists of two digits whosedigits are reversed. Find the number.sum is 9. If 27 is subtracted from the number itsnthe other. Ifthetwo |
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Answer» thanks |
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| 71513. |
Which angles are consecutive interior angles?LIHK and 2JKM |
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Answer» Angle JKH and Angle GHK |
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| 71514. |
Find the value ofa, for which point P (Ξ, 2) is the mid-point of the line segmentjoining thepoints Q(-5,4) and R(-1,0)1 |
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Answer» Coordinate of mid point (x,y)x = (x1 +x2)/2y =(y1 +y2)/2A/qx =(-5 + (-1))/2 = -3⇒a/3 = -3⇒a =-9y = (4+0)/2 = 2coordinate of mid point = (-3,2)so,a= -9 hit like if you find it useful |
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| 71515. |
Ex. 27. Find the equation of the straight line which passes through thepoint (3, 2) and whose gradient is Find the co-ordinates of the points onthe line that are 5 units away from the point (3, 2) |
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Answer» To find the equation of the line provided the slope and a point: y − y1 = m(x−x1) where(x1, y1)is the point given andmmis the slope. That is quite straightforward and the required equation of the line is y − 2 = 3/4 (x - 3), rearranging we get4y − 3x + 1 = 0. Now to the ‘point at a distance of 5’ part: Imagine your required point on the line is(p,q), and(x1,y1)is a point given on the line, we have q − y1/sinθ = p − x1/cosθ = r, where r is the distance between the two points on the line andθ, is the angle formed by the line with the x-axis (in the anti-clockwise direction). The above said is theequation of the line in parametric form, where the parameter is the numerical distance between ANY two points on the line. 3/4 = m = tanθ = sinθ/cosθ, so we havesinθ=3/5 i.eq − 2/3/5 = p − 3/4/5 = 5 Orq − 2/3 = p − 3/4 = 5/5 = −1 Solving again we get,q = −1andp = −1 Curious to know, if both these points lie on our line, please go ahead and substitute in the equation of the line4y−3x+1=0. (7, 5)and(−1, −1) both lie on our line and both are at a distance of55 units from(3. 2) P.S. The parametric form of the equation of the line can be proven by using the idea from Ratios a/b = c/d = K thena2 + b2/c2 + d2 = K2 |
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| 71516. |
Find the value ofa, for which point P ( , 2) is the nud point of the line segment joining thepoints Q(-5,4) and R(-1,0).. |
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| 71517. |
1.Find the value ofa, for which point P (points O(-5,4) and R(-1.0)., 2) is the mid-point of the line segmentjoining te3 |
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| 71518. |
a Ae 12 yeas Mn wal e ten an ot s he ws eps Fiedas tn an eatamatsrĂn,student respires 40% of thr tetal marks to pass.24. A umberas. The26.marks and lails by 15s fnd the total swereversed Find the numberthe price of each.Aman sold an article for r495 and gained 10% on it. Find the costmetres, find its length and breadth.consists of two dits whone sum is 8 I 1dlded to the nutotal cost or 3 tables and 2 chairs is1850 latable eots? 75 m27. The length of a rectangular field is twice its breadth. If the perin28. Two equal sides of a triangle are each 5 metres less than twperimeter of the triangle is 55 metres. find the lengths of tts sidcomplementary angles differ by 5'. Find the angdes29. TwoTwo supplementary angles differ by 44° Find the angles1 In an isosceles triangle the base angles are equal and the vert30.angle. Find the measures of the angles of the triangle.Aman travelled 3 of his journey by rail,!by a taxi, 1 by a2.45foot. What is the length of his total journey?Icth of his total journey be x km. Then. |
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Answer» please specify the question which should be answered It is the blur so I could not answer you please upload a clear pic |
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| 71519. |
ABCD is a trapezium in which AB II DC. IfZA-50 and B- 70°, find the measure of itsDC andre these other two angles. |
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Answer» thank you you are genius |
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| 71520. |
In a quadrilateral ABCD, <A + <D = 180°. Does this mean AB II DC? Why? Whatspecial name does this quadrilateral have? |
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Answer» yes it may be square , rectangle , rhombus or parallelogram . hence their opp sides are always II . |
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| 71521. |
\left(\sqrt{27}-\frac{9}{\sqrt{3}}-\sqrt{\frac{1}{9}}+\sqrt[3]{\frac{1}{27}}\right) का मान होगा |
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| 71522. |
nthe given figure, if AB II DC, find the value of x .D+ 5 |
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| 71523. |
trapezium ABCD, AB II DC and diagonals AC and BDintersect at O. Prove that ar (AOD) ar (BOC). |
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| 71524. |
Find the sum of interior angles ofa:(i) hexagon1.(ii) octagon |
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| 71525. |
EXAMPLE 5.2(a) Find the slope of the tangent to the curveyr-3z+2 at the point whose z-co-ordinate is3.(b) Find the equation of the tangent to the curve+4z+1 at the point whose z co-ordinate is 3. |
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Answer» a)slope of tangent = y' = 3x²-3 and the Vale at x = 3 is = dy/dx = 3(3)²-3 = 24. b) y = x²+4x+1 , slope at x = 3 is y' = 2x+4 = 2(3)+4 = 10 =m and y = (3)²+4(3)+1 = 22 so, equation of line of tangent is y = mx+c=> y = 10x+C .. putting (3,22) in the line=> 22 = 10*3 +C => C = -8 so, equation is y = 10x-8 |
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| 71526. |
2Name all pairs ofadjacent angles in the figure. How many pairs ofa2formed? Why these angles are called adjacent angles?2 |
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| 71527. |
Eind the chistonce ofa point Pla, yFromD) |
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Answer» Distance of point P(x, y) from the origin (0, 0) Distance = sqrt[(x - 0)^2 + (y - 0)^2] = sqrt(x^2 + y^2) |
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| 71528. |
The ordinate of a point on the oc- asis is - |
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Answer» X coordinate is the right answer of this question Abscissa andordinateare obsolete terms for thex- and y-coordinates of apointin the plane.The ordinate of a pointon thex-axisis 0. x=o is the point on the x axis |
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| 71529. |
Q10 Two Supplementary angles differby 50%. Find meamen of lachangle |
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Answer» 115 is the correct answer |
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| 71530. |
The rent for ahĆĄuse is 91,200 per year.rat will be the rent for 9 months? |
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Answer» no corret ans right ans 225 |
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| 71531. |
Calculate the simple interest on? 7200 at 12.75% per annum for 9 months |
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Answer» I = 7200×12.75×9/(12×100) = 688.5 |
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| 71532. |
The measures ofmeasures of two supplementary angles are 134) then find the measure of each angle.arv angles are such that two times the measure ofWind be greater angle |
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| 71533. |
e perimeter of a triangle is 6p2-4p+9 and two of its sides are p-2p+1 and3 p2-5p+3. Find the third side of the triangle. |
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Answer» Thank you |
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| 71534. |
20 cmCO寸20 cm24.In fig. ОАРВО is a sector ofa circle ofradius 10.5 cm. Find the perimeter ofthe |
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Answer» From next time post the complete question. |
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| 71535. |
Using Theorem6.2, prove that the line joining the-goints of any two sides of a triangle is parallele the third side. (Recall that you have done it inproveCass IX).tu uuhich AB II DC and its |
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Answer» 1 2 |
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| 71536. |
1/ The square READ with RE= 5.1 cm.A rhombus whose diagonals are 5.2 cm and 6.4 cm long. |
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| 71537. |
ecn ha the length of other side.:Find the area of a rhombus whose diagonals are 14 cm and 18 cm.2 |
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Answer» 1. Area = d₁×d₂/2 = 14 × 18/2 = 126cm² |
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| 71538. |
f the angles ofa triangle are (x+20), (2x+30) and (3x+40), then the value of x is |
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| 71539. |
127,1f20% ofA = 30% of B =of C, then A : B : C is6a)2:3:16b)3:2:16c) 10: 15: 18d) 15: 10: 18 |
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Answer» 20% of A = 30% of B = 1/6 of C 0.2 A = 0.3B = C/6 = k A = k/0.2 = 5k B = k/0.3 = 10k/3 C = 6k A : B : C = 5k : 10k/3 : 6k = 15 : 10 : 18 |
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| 71540. |
The ordinate ofa point A on the y-axis is 5 and B has coordinates (-3, 1), then find the length ofAB, I |
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| 71541. |
A contractor took up a 6month project,for which he employed 120 men.Due to some emergency, he was asked to finish the work in 4months. How many more men should he put on the job |
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Answer» To complete project in 6 months employees required 120 To complete project in 1 month employees required 120*6 = 720 To complete project in 4 month employees require = 720/4 = 180 ans is almost correct ...... last you have to do the substraction |
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| 71542. |
120 A Contractor understookestook a contrada contradtotocomplete a part of a stadiumcomplete o porio 9 months9 months with a team of 550 posms Later on westo complete the job in 5 months. How many ta prasonsemploy to complete the work a t |
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Answer» kya jii kuch v love latter upload kye ho three more extra people had to do work for completing the work i don't know how to make this question i don't know how to make this question i don't know how to make this question kya bhai kuchh samajh nhi aa rha h..repost kro clear nhi show ho raha pura cliear nahi he ye quastion 9 months need 560 than 5 months need 448 extra total 1008 |
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| 71543. |
In a triangle, if the square on one side isequaltwo sides, prove that the angle opposite tothe first side is a right angle.Use the above theorem to find the measureof PKR in Fig. 4.49.15.to the sum of the squares on the other24 cm←26 cm→RFig. 4.49 |
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| 71544. |
o sides of a triangle are 7 cm and 25 cm, thennumber of all possible integral values of third sidee triangle is1213 |
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Answer» Values between 25-7 and 25+7 hence answer will be 13. |
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| 71545. |
if 125x×25=625,find the value of'x' |
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Answer» Given:125x ×25=625125x=625/25125x=25x=0.2 |
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| 71546. |
1) The circumferenccone.e of the base of a cone is 44 cm and the slant height is 25 cm. Find the curved surface area of the |
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| 71547. |
(v) What is the area of a rhombus whose diagonals are (x + 2) cm and (x -7) cr |
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Answer» wrong !! |
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| 71548. |
ofthe threeangles ofa trianglc one is twice the smallestand another is three times the smallest. Find the angles. |
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| 71549. |
thedigits of a 2 digit number is 10. The number obtained byofaduinn3. The sum ofswanging the digits exceeds the original numberby 36. Find the ornumber. |
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| 71550. |
\frac { 2 + \sqrt { 3 } } { 2 - \sqrt { 3 } } + \frac { 2 - \sqrt { 3 } } { 2 + \sqrt { 3 } } + \frac { \sqrt { 3 } - 1 } { \sqrt { 3 } + 1 } |
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