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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.
| 73551. |
7.Show that n2- 1 is divisible by 8, if n is an odd positive integer. |
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Answer» Sol:Any odd positive integer is in the form of 4p + 1 or 4p+ 3 for some integer p.Let n = 4p+ 1,(n2– 1) = (4p + 1)2– 1 = 16p2+ 8p + 1 = 16p2+ 8p = 8p (2p + 1)⇒ (n2– 1) is divisible by 8.(n2– 1) = (4p + 3)2– 1 = 16p2+ 24p + 9 – 1 = 16p2+ 24p + 8 = 8(2p2+ 3p + 1)⇒ n2– 1 is divisible by 8.Therefore, n2– 1 is divisible by 8 if n is an odd positive integer. |
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| 73552. |
ample 16Prove that every rational function is continuous. |
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| 73553. |
5. If tur = V2y + 17 is written in standard form as ax + by + c = 0, then the value of a, b and c are(a) a = 7,b=-3.c=-(b) a =-1, b = 2,c=-57(c) a = 1, b = 72.c=17(d) a =-, b = 12,c=-7 |
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Answer» option d is the correct answer according to your question c= root 7 is the correct answer. both triangle is congurent by SAS mathod so ab=cd a=πb=-√2c=-√7 is the correct answer this question a=π b=√2 and c=√7 is the correct answer option a is answer your question option d is the correct answer according to the your question |
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| 73554. |
I and m are two parallel lines intersected byanother pair of parallel lines p and q(see Fig. 7.19). Show that Δ ABC CDA. |
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Answer» hence proved |
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| 73555. |
12. Two poles of height 6m and 11mstand on a plane ground. If the distancebetween the feet of the poles is 12m, findthe distance between the tops. |
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| 73556. |
2 Iwo poles of heights 6 mand 11 m stand on aplane ground. If the distance between the feetofthe poles is 12 m, find the distance betweentheir tops. |
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| 73557. |
Check whether the pair of equations x -2y=0and 3x +4y =20 represent intersecting, parallel orcoincident lines. Find the solution, if the equations are consistent. (R. V) |
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Answer» representation on graph |
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| 73558. |
TRY THESEDraw an appropriate graph to represent the given information.(Montero- 1000 1500LE1500 -2000 -2500Number of 1000watches soldJuly August September October November DeChildren who prefer School ASchool B153540WalkingCycling4525 |
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Answer» You need the graph for both the tables ? no 2nd ques. plz tel me how to make using double graph method |
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| 73559. |
10, 11, 12, 13, 14, 15 3 का औसत होगा?(1) 13(2) 12(3) 12.5(4) 14 |
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Answer» (10 + 11 + 12 + 13 + 14 + 15 + 16)/7= 91/7= 13 option (1) is correct. |
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| 73560. |
28. On annual day of a school, 400 students participated in the function. Frequency distribution showingtheir ages is as shown in the following tableAges (in years) 05-07 07-09 09-11 11-13 13-15 15-17 17-19Number of students70120 32 100 4528Find mean and median of the above data. |
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Answer» Here, the summation of Fi is equal to 400 and summation of FiDi is equal to -732. Hence, the mean is equal to 12- 732/400 = 10.17 . Therefore, the median is equal to 9 + ( 10/32) * 2 which is equal to 9.625. The median class is 9-11. Median is 9.625. |
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| 73561. |
A man bought an article for25 and sold it for40. Another man bought an article for50 and soldit for65 . What rate of profit is greater and by what per cent? |
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Answer» CP1 = Rs. 25SP1 = Rs. 40CP2 = Rs. 50SP2 = Rs. 65 Profit = SP1 - CP1= Rs. (40-25) = Rs. 15Profit%1 = 15/25×100 = 60% Profit = SP2 - CP2= Rs. (65-50) = Rs. 15Profit%2 = 15/50×100 = 30% Answer. Profit%1 is greater by 30% |
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| 73562. |
Shown isthat i 2-1 is divisible byan odd positive integer. |
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Answer» i think the question is wrong as if we take x =2 then 2^2-1=3 which is not divisible by 2 x^2-1^2=(x-1)(x+1); let x be 2x+1; =(2x+1-1)(2x+1+1)=(2x)(2x+2)=4x^1+4x=4x(x+1) |
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| 73563. |
fsin2x,x#028.A function f is defined by f(x)then f isx=0continuous at x=03. discontinuous at x=02. Continuous every where4, discontinuous at x=2 |
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| 73564. |
is 50 m high, find the height of the Bunlaingra. Two poles of equal heights are standing opposite each other on either side of the roadwide. From a point between them on the road, the angles of elevation ofthe top of the poles are 60° and 30°, respectively. Find the height of the poles and thedistances of the point from the poles |
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| 73565. |
646599676869Single Choice1-tan.X-1,y=0Let4x - TT) -a *** xe 0.5) 18. Sw) is0.continuous is (0.5), thenitcontinuous is2), then4A1DSubmit |
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| 73566. |
express in standard form 0.000000000013 |
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Answer» If you find this solution helpful, Please give it a 👍 |
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| 73567. |
Two poles of heights 6m and 11 m stand on a plane ground If the distance betwen the feetof thepoles is 12m, find the distance between their tops. |
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| 73568. |
12. I and mare two parallel lines intersected by another pair of parallellines p and q as shown in the figure.Show that ZABC ZCDA.HOTS13. In the given figure pour la |
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| 73569. |
ion 2x +3y-8 0, write another linear equation inGiven the linear equatiosuch that the geometrical representation of the pair so formed is:(ii) parallel linesintersecting linesiii coincident lines |
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| 73570. |
7, 14, 42, 168, _______? (1) 504 (2) 672(3) 1008 (4) 840 |
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Answer» Step by step7× 2 =1414×3 = 4242 × 4= 168168 × 5 = 840 answer 7*2=1414*3=4242*4=168168*5=840so here is answer will be 840 |
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| 73571. |
7. यदि बहुपद px3 + qx - 7 बहुपद :- +4x +7, से विभाज्य है, तब pq=SSE(a)(b)1(c)-11008 |
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| 73572. |
Ches45 minutes apu. From2 hours 30 minutes to reach Ambala. He reaches Awhat time did he start from New Delhi?Murthal, it takesAmbala al 25We have school for8 hours every day.How come? I think it isYou have school fromto 3 p.m.agirl? Why is he/she correct?Find out who is correct - the boy or the girl? Why is he/she8. Prateek is going on a trip from 1" October to 15 Octoberlonger and by how many days?on a trip from 30 October. Her trip will last for two weeks. Whe9/ Look at the calendar and answer these questions.October. Priya is goingeks. Whose trip2017(a) Calculate the number ofdays between 13.07.17and 02.10.17(b) Calculate the number ofweeks between 13.07.17and 02.10.17, excludingthe weeks in which thegiven dates lie.July07AugustSeptember09October1010 11 12 13 14 15 16 |
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Answer» first is 77 and second I don't know 77 is the best answer please like my answer then I like your answer to all of you 77 is the right answer |
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| 73573. |
A man bought two goats for Rs 1008. Hesold one at a loss of20% and the other aprofit of 44 % . If each goat was sold forthe same price, the cost price of the goatwhich was sold at a loss was |
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| 73574. |
EXERCISESl in the blanks:Humans reproduceHumans are(asexually/sexually)(oviparous, viviparous, ovoviviparous)in humans (external/internal)(dipioid/haploid)Male and female gametes areZygote is(diploid/haploid) |
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Answer» (a) Humans reproducesSexually. (b)Humans areViviparous. (c)Fertilization isInternalin humans. (d)Male and female gametes areHaploid. (e)Zygote isdiploid. |
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| 73575. |
EXERCISE 1.1LEVEL-1/If a and bare two odd positive integernumbers 4 and is odd and the other is even.that a> b, then prove that one of the twoa + b222. Prove that the productof |
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| 73576. |
4. The sum of two even natural numbers is odd number. |
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Answer» the correct answer is false the sum of even natural number is even so the write answer is false the correct answer is false statement is false because sum of even no. is even no. false as even+even=even |
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| 73577. |
Try to less number 192continuouSlyfrom 10000 |
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Answer» is the answer 192 |
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| 73578. |
TRY THESEFind the standard form of(1)45 |
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| 73579. |
. Two poles of height 20 m and 30 m are standingon a ground. Find the height of the point ofintersection of the lines joining the top of towersto their foot. |
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| 73580. |
squares of these terms is 165. Find the terms.a) Find the coordinates of the points which trisect the line segment joining thpoints A (4, -3). b(9.7) |
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Answer» then Q can be found by midpoint formula of p and b |
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| 73581. |
(2 Marks)1. Find the condition that the lines joining origin to the points of intersection of the line6.y-mi + c and the curve r+y- a will mutually perpendicular.hetween pair of parallel lines given byx + 2xyty8ax-9a 07.ented by |
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| 73582. |
In Fig. 10.38, ZABC 69, Z ACB-31°, findBDC69° |
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Answer» thank you |
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| 73583. |
hailey priya and shetal are auditioning for the same role. hailey auditions at 10 minutes before four priya auditions 30 minutes before hailey and shetal auditions at 5 minutes before four. order the three by who will audition first |
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Answer» Hailey - 10 mins before 4=3:50Priya - 30 mins before Hailey = 3.20Sheetal - 5 mins before four =3.55So the ascending order is Priya, Hailey, Sheetal. |
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| 73584. |
17. Hailey, Priya, and Shetal are auditioning for the same role. Hailey auditionsat 10 minutes before four, Priya auditions 30 minutes before Hailey, andhetal auditions at 5 minutes before four. Order the three by who willaudition first. (Lesson 3) |
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Answer» Hailey - 10 mins before 4=3:50Priya - 30 mins before Hailey = 3.20Sheetal - 5 mins before four =3.55So the ascending order is Priya, Hailey, Sheetal. |
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| 73585. |
Q. 41. If 3 tan 20 = 13, then find aQ.42. If 3r = tan 30º find x. |
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| 73586. |
A shopkeeper sells a saree at 8% profit and a sweater at 10% discount,thereby, getting a sum 1008. If she had sold the saree at 10% profitand the sweater at 8% discount, she would have got 1028 then findthe cost of the saree and the list price (price before discount) of thesweater.11 |
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Answer» Like if you find it useful |
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| 73587. |
3) In APQR,< R=<Q +9°,<Q = (3x - 2)<P = xº,find < P,<Q,< R of triangle PQR |
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Answer» Given, <R = <Q + 9, <Q = (3x - 2), <P = x <R = (3x - 2) + 9 = (3x + 7) Using angle sum property of triangle <P + <Q + <R = 180x + (3x - 2) + (3x + 7) = 1807x + 5 = 1807x = 175x = 175/7 = 25 Therefore, angles are<P = x = 25°<Q = 3x - 2 = 3*25 - 2 = 73°<R = 3x + 7 = 3*25 + 7 = 82° |
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| 73588. |
if p and q are two even positive number that p-q=120and the sum of pand q is 720 then find the value ofp and q |
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Answer» Answer: p-q=120 p+q=720 2p=840 p=420 q=300 q=300 is the correct answer h q=300 is the correct answer. q=300 is the correct answer Q=300is the correct answer p-q=120p+q=7202p=840p=420q=300 p - q=120p+q=7202p=840p=420p+q=720q=720-420q=300so,p=420 and q=300 answer. q-300 is the correct answer now |
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| 73589. |
Q.5 If x=(1,-2, 6, 5) and Y =| 3,-5, 4, | Then findQ.6 When matrix A is non singular matrix.Q.7 Write the valuehxydcdy, R-|0,1]s[0, l]Q.8 IfR is degenerate then what is value of f(c)ds啊雨, 9-14丽06T 河君 |
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Answer» 6)A squarematrixthat is notsingular, i.e., one that has amatrixinverse.Nonsingular matricesare sometimes also called regularmatrices. A squarematrixisnonsingulariff its determinant is nonzero |
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| 73590. |
Circles591given figure, a circle with centre O,scribed in a quadrilateral ABCD suchit touches the side BC, AB, AD andints P, Q. R and S respectively.InIf AB 29 cm, AD 23 cm, B90 andDS 5cm then find the radius of theCBSE 2008, 13]itcircle |
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| 73591. |
11. Find the equation of12. Find the area of the triangle formed by the lines joining th(3,2e vertex of the parab16-0 represents a parabola. Find its vertex and oto the ends of its latusrectum. |
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| 73592. |
3.20,000 and spent 15000 for2,49,100. Find his profit69Asif, a car dealer bought a secondrepairing and painting the car. He soldpercentage.ght a second-hand car forng the car. He sold the car for |
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| 73593. |
Ravi sold his car to Sunil at a loss of 28%. Sunil spent5,040 on its repairs and sold the car to Rahul for107,730, thereby makcost of the car for Ravi.ing a profit of 122%. Find the |
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| 73594. |
n tunms rtratios of anglesObserve the given figures ofAABC and ÎPQR. Then findsimilar or not.6/2 cm6 cm3 cm3v2 cm8 cmA 4 cm BQ |
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Answer» Above figure is similar as ratio between their sides is same. |
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| 73595. |
Find q and r satisfying a = bq + r, where a = 13 and b = 3. |
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Answer» a = bq+r 13 = 3q+r Taking q = 4, 13 = 3*4 + r r = 13-12 = 1 Like my answer if you find it useful! |
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| 73596. |
. Find the area of agular hexagon ABCDEF in which each side23 cm, as shown in the13 cmABmeasures 13 cm and whose height isgiven figure.Hint. Let AL DM-x. LM-BC = 13 cm.IL23 cm13 cmFL2 = AF2-ALa_ (13)2-52(169-25-144FL = 12 cm.area of the given hexagon 2 x tarea of trap. ADBP). |
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| 73597. |
6. The diameter and height of a cylindrical tank is 1.75 m and 3.2 m respectively.22How much is the capacity of tank in litre ? ( Ď =) |
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Answer» Solution : Dimensions of a cylindrical tank : Diameter ( d ) = 1.75 m = 175 cm radius ( r ) = d/2 = 175/2 cm Height ( h ) = 3.2 m h = 320 cm π = 22/7 Volume of the tank ( V ) = πr²h V = ( 22/7 ) × ( 175/2 )² × 320 V = 44000 cm³ V = 44 × ( 1000 cm³ ) V = 44 litres [ Since 1000 cm³ = 1 li ] |
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| 73598. |
kK R 'उसकी बराबर भुजाएँ 12 0ा। लम्बाई |
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Answer» Let The Third Side Be xcm. Now Perimeter = 12+12+x 24+x = 30 x = 6 Now Find The Area Using Herons Formula Semiperimeter = 30/2 = 15 Sq Root(15(15-12)(15-12)(15-6) ) = Sq Root(15*3*3*9) = Sq Root(1215) = 34.85 cm^2 So Area is 34.85cm^2 तीसरा पक्ष xcm होने दें। अब परिधि = 12 + 12 + x 24 + x = 30 x = 6 अब हेरोन फॉर्मूला का उपयोग कर क्षेत्र का पता लगाएं सेमीपाइरीमीटर = 30/2 = 15 Sq रूट (15-12) (15-12) (15-12) (15-6)) = Sq रूट (15 * 3 * 3 * 9) = Sq रूट (1215) = 34.85 सेमी ^ 2 |
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| 73599. |
0.18. Anuj sold his motor cycle to Anu at a loss of 28 s. A1680 on its repairs and sold the motor cycle to Sagby making a profit of 12.5%. Find the cost of the motorcycleSol. Let the C.P of the motor cycle for Anuj = 3Loss = 28%1640000 - 0ycle to Anu at a loss of 28%. Anu spentSold the motor cycle to Sagar for 35910, therecost of the motor cycle for Anuj.S.P of Anui(100-28) |
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| 73600. |
(ii)ΔΑ0DΔCOD and thus LAOD<COD90"n which side AB is parallel to side DC and E is the mid-point of side AD. If F is apoint on the side BC such that the segment EF is parallel to side DC. Prove that EF (AB DC)21nrove that LM and |
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Answer» 1 2 3 |
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