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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find HCF and LCM of78, 52 and 91 using the prime factorisation method. |
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Answer» We first list down the factors of each of the given numbers. 78 = 2 × 3 × 13 52 = 2 × 2 × 13 91 = 7 × 13 HCF: Answer = 13 LCM : 2 × 2 × 3 × 7 × 13 = 1092 |
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| 2. |
| Find the square root of each athe following numbers by using themethod og prime factorisation9216 |
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| 3. |
Fig. 1.42In Î ABC, seg BD bisects ABC.IfAB = x, BC = x + 5,AD =x-2' DC = x + 2, then findthe value of x.x + 2r + 5Fig. 1.43 |
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| 4. |
. The enrolment in a sehool during six consecutive years was as follows:1555, 1670, 1750, 2013, 2540, 2820Find the mean enrolment of the school for this period |
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| 5. |
rueUlxineachof110 A120°8 |
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Answer» angleBAC=180-110=70°(linear angles)now 70+X=120...exterior angle theoremhence X=50° |
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| 6. |
QL_Ä°hlhichas-the+rue8taternunt. |
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Answer» The true statement is:CP-Loss=SP |
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| 7. |
uii) If 15 kg of rice is mixed with 25 kg of wheat, then theratio of rice to wheat in the mixture is 3:5 kg. - staterue or false. |
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| 8. |
Eatbus, find the values of cand b.-V3+1 |
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Answer» Given:(√3-1)/(√3+1)=a+b√3 LHS;(√3-1)/(√3+1)=(√3-1)²/(√3+1)(√3-1)=(3-2√3+1)/(3-1)=4-2√3/2=2-√3Thus a=2;b=-1 |
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| 9. |
Construct an equilateral triangle of side 6cm and locate its centroid and alsincentre. What do you observe from this?5.o its |
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Answer» We have 5 step to solve this answerSTEP 1 : Draw a rough sketch of the triangle and label it with the given measureents. STEP 2 : Draw a line segment QR of length 6 cm. STEP 3 : With centre Q, draw an arc of radius 6 cm. STEP 4 : Since P is at a distance of 7 cm from R, draw another arc from R with radius 7 cm such that it intersects first arc at P. STEP 5 : Join Q,P and P,R. The required Δ PQR is constructed |
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| 10. |
OZİTA B Cand Dare the at gleof a cyclic quadrilateral then prove that cosA+cosB+cct- abto |
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Answer» Assume that the given cyclic quadrilateral ABCD is convex. Then we know from one of its many properties that, the opposite angles of ABCD are supplementary, that is A + C = π = 180°……………….………………….(1) B + D = π = 180°……………….………………….(2) Transposing C from left to right in eq. (1), A = π - C Taking cosines on both sides, cos A = cos (π - C) = cos π . cos C + sin π . sin C = -1 .cos C + 0.sin C = - cos C Or, cos A + cos C = 0………………………..……(3) Similarly it can be shown from eq.(2) that cos B + cos D = 0……………………..……………(4) Adding eq.(3) and eq.(4), we get cos A + cos B + cos C + cos D = 0 (Proved) PS:In Euclidean geometry, a cyclic quadrilateral is a quadrilateral (polygon of four sides) inscribed in a circle such that all its four vertices lie on the circumference of the circle. The circle is called the circumscribed circle. All quadrilaterals do not have circumscribed circles. The word cyclic comes from the Greek word KUKλOξ (kuklos) which means ‘wheel’ or ‘circle’ |
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| 11. |
perimeter of a triangle is 6cm find its area and side |
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Answer» To find theperimeterof any two dimensional shape, find the sum of the lengths of all the sides.Areais the number of square units it takes to cover a two dimensional shape. ... Therefore, theareaof atriangleis base times height divided by two. Remember that any of the three sides can be the base. it is possible if it is equilateral triangle otherwise insufficient data two more side length required.I feel it is equilateral triangle.area of ∆= √3/4×(side)^2 = √3×6×6/4 = 9√3 sq cm |
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| 12. |
EXAMPLE 30 Ina A ABC, right angled at Cand 2A = ZB,(1) Is cos A = cos B?(ii) Is tan A = tan B? |
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Answer» i) yes is the answer.ii)yes is the amswer. |
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| 13. |
ions nuimber 1 to 6 carry 1 mark each.In AABC, <B = 90° and BDLAC. If DC'e7cm and AD = 3 cma then find the length of BD.[Ans. BD21 cm [Hint: Selve by using pythagoras theoremQ.2. If tan3 and 8 is acute, then find |
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Answer» Like if it is useful |
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| 14. |
13. Two equal circles intersect in P andQ, A straight line through P meetsthe circles in A and B. Prove thatA \ ),-t-yet -▽QA QB. |
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Answer» Any other method ...? |
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| 15. |
7. Find three different irrational numbers between the rational nuVI(NCERT |
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| 16. |
2From a point P tangents are drawn to the ellips 1auxiliary circle, then the locus of P isa2 b22 b2 a221. If the chord of contact touches th |
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Answer» Let the locus of p be (h,k) The equation of chord of contact to the ellipse will be eqaut to: xh/a^2+yk/b^2=1. The distance from the center of the circle {I.e.(0,0)} will be the radius of the auxiliary circle. -a^2b^2|/√[(h^2)(b^4)+(k^2)(a^4)]=a=> (a^2) (b^4)=(h^2)(b^4)+(k^2)(a^4) We finally get this as our answer: (x^2/a^4)+(y^2/b^4)=1/(a^2) Hence, option (B) is correct. |
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| 17. |
The LCM and HCF of two numbers are 432 and 72 respectively.If one of the two numbers is 216, what is the other number? |
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Answer» LCM = 432HCF = 72LCM×HCF = product of given number432× 72 = 216 × other number144 = other number |
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| 18. |
1. The sum of the two angles of a triangle is 90°. Whatis the measure of the remaining angle ? |
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Answer» let c be the another anglethen 90+c=180c=90 |
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| 19. |
A window is in the form of a rectangle surmounted by a semicircular openingtotal perimeter of the window is 10 metres. Find the dimensions of the window toadmit maximum light through the whole opening. How having large windows help usin saving electricity and conserving environment? |
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| 20. |
if 🔼abc~🔼pqr ,ab =6.5cm ,pq=10.4 and perimeter of 🔼abc= 60cm,find the perimeter of 🔼pqr? |
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| 21. |
2, In a right angled triangle, if one of the other two angles is 35,find the remaining angle. |
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| 22. |
the dimensions of a cuboid are 60cm * 54cm *30cm. in this cuboid, how many cubes of side 6cm can be kept. |
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Answer» volume of both will be same so volume of cuboid=97200= n* volume of cubes = n* 216n= 450cubes |
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| 23. |
Prove that the angle subtanded by an are at the centredoubled the angle by it, at any point on the remaining,of the centre. |
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| 24. |
The hypotenuse of triangle is65cm if one of its side 60cm find the length of other side |
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Answer» Tell again What is answer |
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| 25. |
same base of cone and cylinderheight of cylinder=60cmheight of cone=3cmhow many times we fill water in cylinder by cone |
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Answer» Thanks 😄😄 |
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| 26. |
Two base angle of triangle are 42degres and 72 degres respectively .find the measure of vertical angle |
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Answer» sum of angles is 180hence 42+72+X=180X=180-114=66° |
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| 27. |
6. One of the two equal angles of a isosceles triangle is 65°, what is the measureof the other two triangles? |
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| 28. |
if one angle of a linear pair in acute angle then what kind of angle in the other |
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| 29. |
the enequal sides of a triangle measure 20cm and its area is 60 cm square .find its perimeter of the given triangle |
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Answer» Given:sides are 20 cm eachperimeter=a + b + c=20+20+20=60 ans thanks. are you girl |
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| 30. |
Fig. 10.25Determine the measure of each of the equal angles of a right-angled isosceles triangle.OR/C |
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Answer» for right angled isosceles triangle one angle will be 90° remaining two are equallet equals angles be 'x'thenx+x+90=1802x=90x=45° |
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| 31. |
26. In the given figure, ABCD is a trapeziumin which AB DC Such that AB a cm andDC b cm. If E and F are the midpoints of ADand BC respectively then ar(ABFE): ar(EFCD)-?(b) (a + 3b): (3a + b)(d) (2a + b):(3a +b)А7--a(a) a:b(c) (3a+ b): (a +3b) |
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| 32. |
if one angle of a linear pair is a acute angle then what kind of angle in the others |
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| 33. |
One angle Of A rhombus is 70 find The remaining angle |
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Answer» if 1 angle is 70° then its adjacent angle will be,180°-70°=110°...THEN,Angle opp. to 110°=110°(BEC.opp. angles are equal).Similarly,with angle 70°opp. angle=70°.👍 |
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| 34. |
One angle is equal to three times its supplement the measure of the angle is |
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Answer» Let the angle be x.It's supplement angle is 180-x.A/q,x=3(180-x)x=540-3x4x=540x=540/4x=135 |
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| 35. |
48. If a + b + c0, then a3 + b3 + ัะท is equal to(a) 0(b) abc(c) 3abe |
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Answer» Given a + b + c = 0 We know a³ + b³ + c³ - 3abc = (a + b + c )×(a²+ b²+c²-ab-ac-bc) So we have a + b + c = 0 So, a³ + b³ + c³ = 3abc Option (c) is correct |
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| 36. |
1. Find a : b if (3a +b): (a + b) = 9:5. |
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| 37. |
om (1) and (2),and B-254, then find 3A-B |
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| 38. |
An isosceles triangle has perimeter 60cm and each of equal sides are 24cm. Find the area of triangle |
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Answer» Posting the question once is okay.It will be answered as soon as possible. sorry post it by mistake I have the answer now perimeter = 2S1 + S2 = 602*24 + S2 = 60 S2 = 60-48 = 12 height = sqrt(24*24 - 6*6) = 6√15area = 36√15 |
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| 39. |
Tk 25, x2=Tvt12=0 fl"—..afidm;fq& SN B3, AFIFROT WA, |
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| 40. |
Factorize a3 + (b-a)3-b3(A) 3(a - b)(b - 1)(a - a)(C) - 3ab(b - a)(B) 3a3b3(b - a)(D) 3a2b2 (b - a) |
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| 41. |
b3' then α2b2(a2 + b2)If cosec θ-sin θis equal toa) 2(c) cos 2 θ0" and sec θ-cosθb) sin(d) 1 |
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Answer» d) is correct answer thank you |
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| 42. |
42.'एक घन और उसके अन्दर फिट बैठने वाला गोले के आयतन काअनुपात कौन होगा?(6) m:6 S B3© 6:1 (0) इनमें से कोई नहीं |
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| 43. |
in a ∆ ABC .the bisectar of (ange) B and (angle) C meet at O if (angle) A= 50° .find(angle) BOC |
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| 44. |
2 Draw the polygons.A. HexagonB. Nonagon |
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Answer» hexagon Nonagon |
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| 45. |
9. ABC is an isosceles triangle whoseperimeter is 64 ám and AB=24cm.Calculate the area if AC = BC |
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| 46. |
ABC is an isosceles triangle whoseperimeter is 64 am and AB=24cm.Calculate the area if AC = BC |
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Answer» Let AC=BC=X, p=AB+BC+AC64=24+x+x64-24=2x.'.x=40/2=20AC=BC=20 |
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| 47. |
the enequal sides of an isosceles triangle measure 20cm and its area is 60 cm square and find its perimeter of the given triangle |
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Answer» let the height of triangle be hso Area of triangle = bh/260 = (20 × h)/23 = h/2h = 6 cm So Side of triangle ish² + (b/2)² = (side)²6² + 10² = (side)²136 = (side)²side = √(136) cm side = 2 √34 cm Perimeter of triangle = 2 √34 + 2 √34 + 20= (4√34 + 20) cm please check the answer thanks. wanna to be friends |
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| 48. |
In an isosceles triangle, one angle is 45the measure of other two angles. [Hintof the angles of a triangle is 180] |
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| 49. |
hisjie bk (पक: धद्गोध B2 biplajlisle L2B3] b3 (¢3 laleh 2 k) llgetis 2 1 Bite 6 bip Dbt b b ble plsggmrmmflemfiufimfiflflw&m 2 2 b हुक छुपा हकT'E Jaialiadt |
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Answer» hit like if you find it useful |
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| 50. |
of0a. 8096b.66 % c.45%examand gi |
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Answer» a.80%=80/100=4/5b.66(2/3)%=200/300=2/3c.45%=45/100=9/20 |
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