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.
| 68001. |
QR is an isosceles triangle in which PQ- PRand P-70°. Find the measure of rem |
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Answer» In triangle addition of all three angles is 180 P + Q + R = 180 Angles opposite to same sides are same PQ = PR R = Q and P = 70 70 + Q + Q = 180 2Q = 180 - 70 2Q = 110 Q = R = 55 If you find this answer helpful then like it. |
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| 68002. |
J.6. If a+b+c-12 and a +b+c=66, find the value of ab+bc+ca |
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Answer» 39 is the correct answer of the given question |
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| 68003. |
\left| \begin{array} { c c c } { 5 } & { 13 } & { 17 } \\ { 30 } & { 68 } & { 105 } \\ { 25 } & { 66 } & { 84 } \end{array} \right| |
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| 68004. |
06: If the product of HCF and LCM of two natural numbersis 378000, then which of the following can be their HCF?A: 66C: 34B: 130D:20 |
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| 68005. |
72:40:?:30(a) 64(b) 54(c) 66(d) 48 |
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| 68006. |
(b2 + (2) / + (८ + 4) b + (12+ b) C + 2) का सरलीकृत मानक्या होगा? |
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Answer» 0 is the correct answer |
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| 68007. |
团b2) 2(3) 2(4) 1阿ア04 |
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| 68008. |
(ii) 22+2x+1ab b2 iii) a2-b22+1 (ii) 2a2b+2ab2+ abalive 21[(ii) 3 (x+2) + 5x-7iv) 4 (2r-1)+3x+11 |
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Answer» x^2+2x+1x^2+x+x+1x(x+1)+(x+1)(x+1)^2 |
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| 68009. |
BE ACDE = BC18, in Fig. 1, DB-L BC, DE LA B and ACä¸BC. Prove thatFig. 1 |
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Answer» In the triangle DEB and triangle ACD. angle DEB=Angle ABC anlge DEB = angle ACD (each is of 90) therefore we can easily say that triangle DEB= triangle ACB ( according to AA rule) Hence BE/BC =AC/DEAnd then now we can have BE/DE = AC/BE |
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| 68010. |
24. If a-z-vs and b = 2+45, find a2 + b22+V5 |
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Answer» hit the like button if you liked the solution. |
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| 68011. |
nu is having a rectangular field whose length is 7 metres and breadth is4 metres. Find the perimeter of the field3. Re |
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Answer» 28 meter perimeter of rectangular field |
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| 68012. |
4b2+1/b2=28b3+1/b3=? |
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Answer» Please post complete question. |
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| 68013. |
s. In the given figure, line / is the bisector of an. If BP andangle ZA and B is any point on lBQ are perpendiculars from B to the arms ofZA, show that(i) ΔΑΡΒ AAQB(ü) BP BQ ie, B is equidistant from thearms of ZA |
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| 68014. |
nu TUOTII UTOIT On saanu punu AAOUT UpidxTZ3. Examine, whether the following numbers are rational or irrational:(i) 7(ii) 4(iii) 2 + 3 |
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Answer» √4=2 hence it is rational Let us assume that √7 be rational.then it must in the form of p / q [q ≠ 0] [p and q are co-prime]√7 = p / q=> √7 x q = psquaring on both sides=> 7q^2= p^2------> (1)p^2is divisible by 7p is divisible by 7p = 7c [c is a positive integer] [squaring on both sides ]p^2= 49 c^2--------- > (2)subsitute p^2in equ (1) we get7q^2= 49 c^2q^2= 7c^2=> q is divisble by 7thus q and p have a common factor 7.there is a contradictionas our assumsion p & q are co prime but it has a common factor.so that √7 is an irrational. (i) &(iii) are irrational (ii) is rational 7 is not a perfect square root 7 is a irrational number. 4 is square of 2.so root 4 is a rational number. 2+root3 is a irrational number. sum of rational and irrational is a irrational number. |
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| 68015. |
42If acose + bsine = p, asine - bcos e = q thena cos e+bsin e = p, asine - bcose = q மூலைWa2 + b2 = p• +q(2) a + b2 = p? -(3) a2 - b2 = p2 +q2(4) a-- b2 =p-q |
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| 68016. |
1. The average of A and B is 25, B and C is 28, andCand A is 21. is average of A, B and C.a. 23.66 b. 24.66 c. 25.66 d. 26.66 |
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Answer» option A23.66 is the answer total of A+B= 25×2=50total of B+C= 28×2=56total of C+A= 21×2=42total of 2(A+B+C)=148TOTAL OF A+B+C= 74AVG OF A,B,C,=74/3=24.66 option b24.66is the answer option b 24.66is the right answer by using average formula24.66 is the correct answer. Option A is the answer Option (b) is the right answer |
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| 68017. |
the unequal side of an isosceles triangle measure 24cm and its area is 60 cmsquare .find the perimeter of the given isosceles triangle. |
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| 68018. |
If two sides of a triangle are unequal, the bisector of the vertical angledivides the base into two parts, the greater being towards the greaterside. Prove it. |
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| 68019. |
The perimeter of an isosceles triangle is 52cm. If the length of the unequal side is12cm, find the length of the other two sides. |
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| 68020. |
Il. In Fig 9.27.ABCDE is a pentagon. A line throughB parallel to AC meets DC produced at F. Showthat0 ar (ACB)ar(ACF)ü) ar(AEDFar(ABCDEFig 927 |
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Answer» thanks |
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| 68021. |
slievery close to each other.reason?8 The pharynx leads to trachea as well as to the oesophagus. The two openingYet, the food we swallow does not normally go into the trachea, why ? |
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Answer» This happens because there is a flap like structure present over the trachea so when we eat food it closes and prevent any entry to trachea.you can check it also as when you swallow something you can't breathe. |
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| 68022. |
The surface area of a spherical bubble is increasinthe rate of 2 cm2/sec. Find the rate at which the volumeof the bubble is increasing at the instant its radius is 6g atcm. |
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| 68023. |
If the roots of the equation (a2 b)x-2(ac+bd)x+ (e+0 are equal, prove thatoradbc. |
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| 68024. |
(a2 + b2)+2(ac + bd)x (c2d0 |
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| 68025. |
I1. In Fig. 9.27,ABCDE is a pentagon. A line throughB parallel to AC meets DC produced at F. Showthat(i) ar (ACB) = ar (ACF)(ii) ar (AEDF)- ar (ABCDE)Fig. 9.2710 |
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| 68026. |
A 7 cm Bnu the length of DC and hence, find the area of trap. ABCD.BD is one of the diagonals of a quad. ABCD. IfAL L BD and CM 1BD, show that8.ar (quad. ABCD) = 1 x BD x (AL + CM) |
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| 68027. |
11. In Fig. 9.27, ABCDE is a pentagon. A line throughB parallel to AC meets DC produced at F. Showthat(i) ar (ACB) ar (ACF)(ii) ar (AEDF) ar(ABCDE)Fig. 9.27 |
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| 68028. |
Prove that ar (AUD)ar (bFig. 9.27,ABCDE is a pentagon. A line throughB parallel to AC meets DC produced at F. ShowthatEC(i) ar(ACB) , ar (ACF)()ar(AEDF)-ar(ABCDE)(u) arFig. 9.27 |
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| 68029. |
14. In a quadrilateral ABCD, ZA Cand B- D, prove that ABCD is a parallelogram. |
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| 68030. |
. Thee perimeter of an-lsosceles triangle is 250 cm.lf the unequal side measures50cm,find each of the equal sides. |
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Answer» Given :Perimeter=250cmLet a ,b, c be the sides of triangle with a and b having equa measurec=50cmSince a=ba+b+c=2502a+c=2502a=250-502a=200a=100Therefore the equal sides measure 100cm |
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| 68031. |
FindRuemissingangles :300-02 to |
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Answer» i) A. T. Q.,(3x-10)+ (2x+20)=180°3x-10+2x+20=180°5x+10=180°5x=180-10x=170/5x=34° (3x-10)+(2x+20)=180; 3x-10+2x+20=180; 5x+10=180; 5x=170; x=170/5 =34 x=34 is right answer of this question. 34° is the correct answer of the given question x = 34 is correct answer 3x-10+2x+20=180(if a st line standing on another st line sum of angle = 180)5x+10= 1805x= 180-10=170x= 170/5= 34si angle 3x-10= 3×34-10= 102-10= 922x+20= 2×34+20= 68+20=88 |
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| 68032. |
e perimeter of an isosceles triangle is 250 cm.lf the unequal side measures50cm,find each of the equal sides. |
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| 68033. |
TOwhy does the trachea net collapse but |
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Answer» Trachea is an air passage to your lungs, esophagus is a food passage to your stomach. Food aspirated into your lungs can result in choking, or pneumonia. A properly functioning epiglottis closes when one swallows to keep food from going into the trachea. Also known as the windpipe, the trachea is prevented from collapsing by cartilaginous rings that resemble the rings in vacuum cleaner hoses. |
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| 68034. |
3. The perimeter of an isosceles triangle is 65 cm and the unequal side is thrice as large as each ofthe equal sides. Find the lengths of the sides of the triangle |
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Answer» Let the sides of given isosceles triangle arex, x and 3x Then,Perimeter of triangle =x + x + 3x Thus,5x = 65x = 65/5 = 13 cm Therefore sides of triangle are 13 cm, 13 cm and 39 cm |
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| 68035. |
What is the size of the angle:a at A?c at E?Draw an axis of symmetry from Y to Z.What does this axis do to angles Y and Z?b at M?d at X?Give the size of each missing angle.60°4560° |
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Answer» let the missing angle be x so sum of angles in triangle is 180°x + 60° + 60° = 180°x = 180° - 120°x = 60° |
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| 68036. |
x BD2(AM + CN).In the given figure, ABCD is a quadrilateral. Prove that ar(quadrilateral ABCD)where AM and CN are perpendiculars on diagonal BD22. |
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Answer» In∆ABD,AM is height and BD is baseArea of ∆ADB=1÷2×base×height=1÷2×AM×BD___(1)In ∆CBD,CN is height and BD is baseArea of ∆CBD=1÷2×base×height=1÷2×CN×BD___(2)AREA of ABCD=Area of ∆ADB+Area of CBD=1÷2×AM×BD+1÷2×CN×BD=1÷2×BD×(AM+CN) |
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| 68037. |
Which of the following num bers are not perfect squar625, 367, 9108, 1764, 3163, 21572Using prime factorisation method, find the square roo |
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Answer» 367 and 9108 and 3163 and 21572this not perfect squar roots 625,1764,this is a perfect square |
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| 68038. |
Example 4 : In Fig. 9.22, ABCD is a quadrilateraland BE IAC and also BE meets DC produced at E.Show that area of ADE is equal to the area of thequadrilateral ABCD. |
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| 68039. |
Q7. Find the square root (by prime factorisation method)(0) 2352 |
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Answer» 2*2*2*2*3*7*7 this Is by upside down |
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| 68040. |
find ghr square roots (prime factorisation method) or the following numbers:=2500 |
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Answer» 2500 = 25×100 = 5*5*10*10 = 5*5*5*5*2*2 so, √2500 = 5*5*2 = 50 |
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| 68041. |
10.Calculate the missing angles.a.57° |
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Answer» 33° is the right answer...... a=180-57-90=33° is the best answer 33° is the right answer. |
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| 68042. |
Find the square root of 1024 by the prime factorisation method. |
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Answer» Its correct answer is 32 |
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| 68043. |
In an A.P, the sum of its first n terms is 6n n2. Find its 25th term. |
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| 68044. |
You are given three platformsBarrel 1 to Barrel 2 by finding all the missing angles.parallel to each other. Help Kitty to reach fromSarrel 1Kittyt30Barrel 2 |
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| 68045. |
nich of the following perfect squares will havenare roots and which will have odd square rooi) 441 (ii) 2916 (iii) 3969v) 21609 (v) 389376 |
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Answer» 441 = 2121609=1473969=63389376=624 1)212)1473)634)624 441=2121609=1473969=63389376=624 1)212)1473)634)624 441 3969 and 21609 have odd square root. and 2916 and 389376 have even square root 441 = 21 (odd)2916 = 54 (even)3969 = 63 (odd)21609 = 147 (odd)389376 = 624 (even) |
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| 68046. |
1032)Find the square root of 4489 by division method. |
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Answer» Like if you find it useful |
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| 68047. |
TF13.3TEあ5, 7, 0, 6, 1, 334あ函7-76543 10, 75,643 10. 74653 10. 73.65.410.71,65,430 |
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Answer» below numbers are also possible570613457061435706314570634157064135706431 |
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| 68048. |
of its lengthxmetres.Ifits13 The width of a rctngular rom iswrite an equation connecting x and y. Find the floor area of the roois 32 m.rea of the room if its peret |
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| 68049. |
Which of the following quadrilateral has 2 pairs of equal adjacent sides but unequalopposite sides?(i) parallelogram(ii) rhombus(ii) kite(iv) square |
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Answer» kite also please tell me the adjacent side and opposite sides of kite |
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| 68050. |
Draw a quadrilateral ABCD and write its2 pairs of opposite sides and angles10.li) 2 pairs of adjacent sides and anglesii) its diagonals |
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