InterviewSolution
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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.
| 4301. |
What is multiple of 65 |
| Answer» 5,13,1 | |
| 4302. |
What is the t.s.a of hollow cylinder |
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Answer» let r1 be inner radius and r2 be outer radius inner csa = 2 pie r1 houter csa = 2 pie r2 hsurface area of circle at ends = pie r2^2 - pie r1^ 2 tsa = 2 pie h ( r2 + r1 ) + pie ( r2^2 - r1^ 2 ) 2πr(h+r) |
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| 4303. |
If x²-3x+2 divides x³ -6x² +ax+b exactly then find the value of \'a\' and \'b\'. |
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| 4304. |
For (x) =ax²+bx +c, if f(1)=8 and f(-1)=4, find the value of a+c. |
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| 4305. |
If x=(5+2√6)then show that √x+_1_=2√3 √x |
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| 4306. |
Pr pr == pr pr |
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| 4307. |
Theorm 7.1 |
| Answer» (ASA congruence): two triangle are congruent and the included side of One triangle are equal to two angles and the included side of other Triangle. | |
| 4308. |
What is rational number?? |
| Answer» The number which can be written in the form of p upon q , where q≠0 , is called rational number. | |
| 4309. |
If angle subtended by chords at equal then chords are equal |
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| 4310. |
How will find square root by subtracting method |
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| 4311. |
If x=root2 - 1 then find the value of x^2-1/x |
| Answer» 1/x=1/√2-1. Rationalise the denominator 1/x=1/√2-1×√2+1/√2+1=√2+1Now use the identity (a+b)² i.e (x+1/x)² = (x)²+(1/x)²+2(x)(1/x) Now x in multiplication will cut from each other then: (√2-1)²×(√2+1)²+2 then [(√2)²+(1)²- 2(√2)(1)] [(√2)²+(1)²+2(√2)(1)] +2 then this will be 3- 2√2+ 3+2√2+2 now 2√2will cut from each other then remain will be 3+3+2=8 (ans.) | |
| 4312. |
A llgm of diagonal 30m and side 24m perimeter 84 find cost of surfacing rate =200 per sq m |
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Answer» How do you do this Rs. 1654 only |
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| 4313. |
Factorise 8x^3+ y^3+ 27z^3- 18xyz |
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| 4314. |
In a parallelogram ABCD if angle D =85 degree then write the measure of angle A |
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Answer» 95 |
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| 4315. |
Factorise x^3–23x^2+142x–120. |
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| 4316. |
2√6/√2+√3 + 6√2/√6+√3 -8√3/√6 +√2 ? Prove that |
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| 4317. |
What will be the answer after subtracting 0.999999999999999....... from 1 |
| Answer» O.oooooooooo......oooooo1 | |
| 4318. |
Does Euclid`s five definition definition |
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| 4319. |
3(a square+b square+ c square)=(a+b+c).prove that a=b=c |
| Answer» Through your suggestion a=b=clet a=2so b=2and c=2and by your equation 3(a^2+b^2 +c^2) =a+b+c 3(2^2+2^2+2^2) =2+2+2 3(4+4+4)=6 3(12)=6 36=6 L.H.S not equals to R.H.S hence this equation 3(a^2 +b^2+c^2)=a+b+c is wrong | |
| 4320. |
How to find rational number between 0.9999999999........ and 1 |
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| 4321. |
Find % increase in the area of a triangle if its each side is doubled |
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Answer» Area increases four times Let a,b,c be the sides of the original ∆ & s be its semi perimeter.S= (a+b+c)/22s= a+b+c.................(1)The sides of a new ∆ are 2a,2b,2c [ given: Side is doubled]Let s\' be the new semi perimeter.s\'= (2a+2b+2c)/2s\'= 2(a+b+c) /2s\'= a+b+cS\'= 2s. ( From eq 1)......(2)Let ∆= area of original triangle∆= √s(s-a)(s-b)(s-c).........(3)& ∆\'= area of new Triangle∆\' = √s\'(s\'-2a)(s\'-2b)(s\'-2c)∆\'= √ 2s(2s-2a)(2s-2b)(2s-2c) [From eq. 2]∆\'= √ 2s×2(s-a)×2(s-b)×2(s-c)= √16s(s-a)(s-b)(s-c)∆\'= 4 √s(s-a)(s-b)(s-c)∆\'= 4∆. (From eq (3)Increase in the area of the triangle= ∆\'- ∆= 4∆ - 1∆= 3∆%increase in area= (increase in the area of the triangle/ original area of the triangle)× 100% increase in area= (3∆/∆)×100% increase in area= 3×100=300 %Hence, the percentage increase in the area of a triangle is 300% |
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| 4322. |
Simplify(64/125)to the power-2/3 |
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| 4323. |
3y2+y2-3y-1 |
| Answer» 3y2 + y2 - 3y - 1= 4y2 - 3y - 1= 4y2 - 4y + 1y - 1= 4y( y - 1) + 1 ( y - 1)= (4y + 1) ( y - 1) | |
| 4324. |
How many solution does the linear equation 2 X + 5 Y= 7 have |
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Answer» solutions are infinite but if you use geogebra software you will get a line on the graph sheet Infinite Infinite solutions................ |
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| 4325. |
A straight line is parallel to x-axis and 4 unit above it draw the graph of the equation |
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| 4326. |
Two triangles on the same base and the same parallels line are equal in area |
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Answer» bases are equal and they are between the same parallels so same height . hence areas are equal Yes |
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| 4327. |
Using appropriate identities factorizea)4x²-y²9/ |
| Answer» (2x+3y)(2x-3y)using apower2-bpower 2 identity | |
| 4328. |
Represent (1+root3) on number line |
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| 4329. |
The perpendicular from the centre of a circle to a chord bisect the chord. Prove it. |
| Answer» Theorem: The perpendicular from the centre of a circle to a chord bisects the chord.Given: A circle with centre O. AC is a chord and OB ⊥ AC.To prove: AB = BC.Construction: Join OA and OC.Proof: In triangles OBA and OBC,∠OBA = ∠OBC = 90o\xa0(Since OB ⊥ AC)OA = OC (Radii of the same circle)OB = OB (Common side)ΔOBA\xa0≅ ΔOBC (By RHS congruence rule)⇒ AB = BC (Corresponding sides of congruent triangles)Thus, OB bisects the chord AC.Hence, the theorem is proved. | |
| 4330. |
Prove that the angles opposite to equal sides of an isosceles triangle are equal |
| Answer» Given: A triangle ABC in which AB = ACTo Prove: ∠ABC = ∠ACBConstruction: Draw the bisector AD of A so as to intersect BC at D.Proof: In ∆ADB and ∆ADC,AD = AD | CommonAB = AC | Given∠BAD = ∠CAD| By Construction∴ ∆ADB ≅ ∆ADC | SAS congruence rule∴ ∠ABD = ∠ACD | CPCT⇒ ∠ABC = ∠ACB | |
| 4331. |
In a parallelogram pqrs, what is the sum of angle R and angle S |
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Answer» 180 The sum of angle R and S is 180°. 180 |
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| 4332. |
Find to irrational no. between786and787 ? |
| Answer» 786.68429872..... | |
| 4333. |
Which are the prime Numbers |
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Answer» The numbers which are divisible by 1 and itself are known as prime numbers. Some prime numbers are 1,2,3,5,7,11,13,17,19,23,and so on... The number which comes in their own tables like 2,3,5,7,11,13,17,etc 76 |
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| 4334. |
Why the zero is hole no. |
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Answer» Mansha your answer is incorrect whole number can never be negative Firstly its whole number not hole number there is a very d/f b/w then Secondly ur answer 0 is a whole b,cos zero is a neutral number it is neither negative nor positive . And whole no. Are either positive or negative .??? |
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| 4335. |
What is the identity of a square - b square |
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Answer» a^2-b^2 = (a+b)(a-b) Nono, it is a^2+b^2-2ab a²-b²= a²+2ab+b² |
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| 4336. |
What is suclids law |
| Answer» A straight line segment can be draw joining any two points .If two lines are drawn which intersect a third in such way that the sum of the inner angles on one side is less then two right angles. | |
| 4337. |
What is 1÷√7+√3-√2 |
| Answer» Root7/7+root3- root2 | |
| 4338. |
Prove that 1+2+3+4+5.......= -1/12 |
| Answer» This is a wrong question | |
| 4339. |
If the distance between the point (4,k) and (1,0) is 5, then what can be the possible value of k |
| Answer» Let the points X (4,k) and Y(1,0)It is given that the distance XY is 5 units.By using the distance formula,XY = √ (4-1)2 + (k -0)25 = √9 + k225 = 9 + K2 (squaring on both side)K2 = 16k = ±4 | |
| 4340. |
factorise-ab+bc+ax+cx |
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Answer» b(a+c) +x(c+a)(b+x) (c+a) ab + bc + ax + cx= b (a + c) + x (a + c)= (a + c) ( b + x)\xa0 |
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| 4341. |
Explain theorem 9.1 |
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| 4342. |
Find the value of x if ab=100°and ac=115° find x |
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Answer» I mean its proper information is not there Your question is not correct. |
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| 4343. |
Simplify 1÷1+2 root 2- root3 |
| Answer» 1+2root2-root 3 | |
| 4344. |
(2x+1)3 |
| Answer» 6x+3 | |
| 4345. |
Express 2.93 in form of p\\q form |
| Answer» 293/100 | |
| 4346. |
If X ki power a/b =1 then find the of \'a\'. |
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Answer» 0If we consider b as any no., a/b=0 which tells us xhas a power of 0 So, x=1 -1 _1 |
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| 4347. |
Write 4 solution of 3x-y=12 |
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Answer» Dont include x=3.. X = 0, 1 ,2, 3, 4 and Y = -12, -9, -6, 0 respectively...... Get it by putting your desired values of x and get y. 4 |
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| 4348. |
Visualise 4.26 bar on the number line |
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| 4349. |
How to find out the csa when the volume and height is given |
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Answer» So apply pie r square h is equal to volume...find r..........then u have r and h....calculate CSA Cylinder Is the fig. A triangle CV or a cylinder??? |
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| 4350. |
If the non parallel sides of trapezium are equal prove that it is cyclic |
| Answer» Consider a trapazium ABCD with ABIICD & AD=BCDraw perpendiculars from A and B meeting CD at M and N.Tri | |