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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.
| 65301. |
4 A container, opened from the top and made up of a metal sheet, is in the form of afrustum of a cone of height 16 รงm with radii of its lower and upper ends as 8 cm and 20cm, respectively. Find the cost of the milk which can completely fill the container, at therate of 20 per litre, Also find the cost of metal sheet used to make the container, if itcostst 8 per l 00 cnr. (Take-3.14) |
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| 65302. |
Ex: 6 |
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Answer» Please post question in English 6 jus ki ken ka rs 210=4 jus ki ken ka rs =210%6×4 =35×4 =140 ans |
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| 65303. |
Solve -= ex-y |
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| 65304. |
differentiation of ex logx |
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| 65305. |
AABC, P and Qare respectively the mid-pointof AB and BC and R is the mid-point of AP. Provthat:4. In(i) ar (APBQ) = ar (AARC)(ii) ar (APRQ-ar (ΔARC)2(iii) ar (ARQC) = 3 ar (AABC). |
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| 65306. |
18) In the given figure P and Q are respectivelythe mid points of AB and BC and R is themid point of AP. Prove that:(i) ar(APBQ) ar(AARC)(ii) ar(APRQ) 2aAAPC) |
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| 65307. |
14. In a AABC, P and O are respectively the mid-pointsof AB and BC and R is the mid-point of AP. Provethat:(7) ar (APBQ)- ar (AARC)(i) ar (APRO)- ar (ARC)(iii) ar (ARQC)ar (AABC)15. ABCni |
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| 65308. |
omuld for finding the areangle is ds TonoWSA(A ABCxx-e) whera +b+cPractice Set 15.4of a triangle are cm 45 cm, 39 cm and 42 cm, find its area56 m |
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| 65309. |
2. Write opposite of 100 m above sea level? |
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Answer» 100m above sea level=+100100m below sea level=-100 |
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| 65310. |
1. Find the zeros of each of the following quadratic polynomials and verify therelationship between the zeros and their coefficients:0 f(x) -2 -2x-8 INCERTI (i) g(s) - 4s2 -4s+ 1 INCERI(ain) he) -15 INCERTI (iv) 6x2 -3-7x INCERT(v) p(x) = x2 +2-12x-6(vii) f(x) = x2-(V3 + 1) x +-3 (viii) g(x) = a (x2 + 1)-x ( 2 + 1)(vi) (x) 3x2+ 10x +73Vil |
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| 65311. |
LEVELFind the zeros of each of the following quadratic polynomials and verity trelationship between the zeros and their coofficients:f(x) = x2-2x-8 [NCERT](ii) ,g(s) = 4s2-4s +1NCEINC(i)ii) h(t) -15(v) px)221 -6INCERT](i)x)6x-3-7x(vi) qx)3x2+10x+73 |
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| 65312. |
Prove that: 2cos,A A= tan A.The diameters of the lower and upper ends of a bucket in the from of a frustum of a cone are 10 cm and 30 cmrespectively. If its height is 24 cm, find :- cosThe area of the metal sheet used to make the bucket.(i)(i) Why we should avoid the bucket made by ordinary plastic? IUse -314em the top of a 100 m high light house from the sea-level, the angles of depression of two ships areide of the light house, find the distance between |
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| 65313. |
3 ". Some plastic balls of radius 1 cm were meltedandcastintoatube.Thethickness,length and outer radius of the tube were 2 cm, 90 cm and 30 cm respectivelyHow many balls were melted to make the tube ? |
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| 65314. |
A closed box made of wood which is 3 cm thickIts external length, breadth and height are 56 cm39 cm and 30 cm, respectively. Find the capacirof the box. Also, find the volume of wood used tomake the box. (0) |
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| 65315. |
A box with a lid is made of wood which is 3 cm thick. Its external length, breadth and heightare 56 cm, 39 cm and 30 cm respectively. Find the capacity of the box. Also find the volumeof wood used to make the box.22.cin |
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| 65316. |
Solve the following questions : (Any two)The length, breadth and height of a cuboidal shaped box of medicine is 30 cm, 12 cmand 10 cm respectively. Find the total surface area of the box04B)j) |
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Answer» total surface area of cuboid is 2(lb+bh+hl)hence2(30*12+12*10+10*30)2(360+120+300)=2(780=1560cm^2 |
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| 65317. |
30.bisects the base.Prove that the mid-point of the hypotenuse of a right angled triangle is equidistant from itsvertices.inn (nith anntre lofa AARC AD is the height of the ABC and AE |
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| 65318. |
hteo milyr ,,ma t.ut. *. í.um d4 2.} ntu Jn |
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| 65319. |
giobalizationWhat is a three tier quasi-judicial machinery setup for redressal ofconsumer disputes ? |
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Answer» A three-tier quasi-judicial machinery, popularly known as consumer courts, at the national, State and district levels has been set up to render free redressal to the consumers’ disputes against any defective goods and deficient services which include unfair and restrictive trade practices. The National Consumer Disputes Redressal Commission known as National Commission is based at New Delhi. Each State has a Consumer Disputes Redressal Commission known as the State Commission. Similarly, every district in the country has a Consumer Disputes Redressal Forum – known as the District Forum. Under the Act, a complaint or any allegation in writing made by a complainant in case of defective or hazardous goods, deficiencies in services, and charging of excess price by the trader other than the fixed price. If the cost of the goods or services and compensation asked for is up to rupees five lakh then the complaint can be filed in the District Forum where the cause of action has arisen or where the opposite party resides. It can also be filed at a place where the branch office of the opposite party is located. If the cost of goods or services and compensation asked for is more than five lakh rupees but up to twenty lakh rupees, the complaint can be filed before the State Commission. If the cost of goods or services and compensation asked for exceeds rupees twenty lakh, the complaint can be filed before the National Commission at New Delhi. Like my answer if you find it useful! |
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| 65320. |
oy—*——_—_——__*‘&—______“Jn=| £—LS—Wx |
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Answer» x*x - 5x + 6 = 0 (x-2)(x-3) = 0 x = 2 , 3 |
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| 65321. |
Complete the hexagonal and star shaped Rangolies [see Fig. 7.53 (i) and (ii)] bythem with as many equilateral triangles of side 1 cm as you can. Count the numtriangles in each case. Which has more triangles?4.5 cmS cmJNJN5 cm |
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| 65322. |
A chord of a circle of radius 21cm subtends an angle of 60 at the centre. Find the area ofthe corresponding minor segment of the circle. [use t and 3-1.73 11 G m Nith radii of |
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Answer» angle of minor segment=60ºr=21cmarea of segment=θ/360 *πr²=60/360*22/7*21*21=1/6 * 22*3*21=11*21=231cm² |
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| 65323. |
a Kannu made a necklace of 17 sea-shells. How many suchnecklaces can be made using 100 sea-shells? |
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| 65324. |
Some plastic balls of radius 1 cm were melted and cast into a tube. The thickness,length and outer radius of the tube were 2 cm, 90 cm and 30 cm respectively.How many balls were melted to make the tube ? |
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Answer» wrong but well tryed |
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| 65325. |
10. CD and GH are respectively the bisectorsof ZACB and EGF such that D and H lieon sides AB and FE of Δ ABC and Δ EFGrespectively. IfAABC-A FEG, show that:CD ACGH FC(ii) Δ DCB ~ Δ HGE(iii) Δ DCA-A HGFFig, 6.30 |
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| 65326. |
3Some plastic balls of radius 1 cm were melted and cast into a tube. The thickness,length and outer radius of the tube were 2 cm, 90 cm and 30 cm respectivelyHow many balls were melted to make the tube ? |
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| 65327. |
15. यदि समीकरण + x + 1 = 0 के मूल0 व 6 हों, तो a + 62 बराबर है।(1) 1 (2) 2 (3) -1 (4) 1 |
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Answer» zeroes of x^2 + x + 1 = 0are a and b Then,a + b = - 1ab = 1 Therefore value of a^2 + b^2 is (a + b)^2 = a^2 + b^2 + 2ab (-1)^2 = a^2 + b^2 + 2*1 a^2 + b^2 = 1 - 2 = -1 (3) is correct option |
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| 65328. |
Pind T TIn MBC, DE â Ą BC, find the value of x.x+ 1x+ 5 |
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| 65329. |
Solve the eqn for x:6\left(x^{2}+\frac{1}{x^{2}}\right)-35\left(x+\frac{1}{x}\right)+62=0 |
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| 65330. |
1#x = 3 is one root of the quadratic equation x2-2kx-62 0, then find the value of k. |
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Answer» Since x = 3 is a solution of the question.therefore substitute 3 in place of x as it serves the equation.(3)^2 - 2k(3) - 6 = 09-6k-6 = 06k=9-6k=3/6 k = 1/2 |
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| 65331. |
struct a triangle of sides 4 cm. 5 cm and 6 m and then a triangle similar to it whodsides are of the corresponding sides of the firta triangle similar to it wiyontrianglesteps oJnJoin PO anpoint of PCTaking M |
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Answer» the total surface area of a cube is 1350 sq.m. find its volume. |
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| 65332. |
Big triangle is similar to small triangle |
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Answer» Triangle ABC is an equilateral triangle.⇒ AB = BC = ACDE = 1/2 AB EF = 1/2 BC⇒ EF = 1/2 AB [Since AB = BC = AC] DF = 1/2 AC⇒ DF = 1/2 AB[Since AB = BC = AC] DE = EF = DF ∴ΔDEF is an equilateral triangle. |
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| 65333. |
If the nith term of an arithmetic progression= 24-n,then its 2termis |
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Answer» Given :an=24-3nTo find: a2Hencen=2a2=24-3(2)=24-6=18 |
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| 65334. |
IfA is a square matrix of order 3 and 12 Al = k A , then find the value of k. |
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| 65335. |
\(x - 1010x +10)Given the parallelogram, solve for x.100 |
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Answer» sum of two angle = 180x+10+x-10=1802x= 180x= 90° x-10+x+10=180; 2x-10+10=180; x=180/2=90 |
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| 65336. |
construct a ΔABC, where AB 3 cm BC 4 cm and CA 5cm. Then, construct atriangle similar to ΔABC such that each of its sides is ) of the corresponding sides o: ditont from the,,34 |
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| 65337. |
2.Threecubesofmetalwithedges'3cm,4'cmand5cmrespectivelyarmelted to form a single cube. Find the lateral suface ayea of the necube formed |
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Answer» lateral surface area=4a^2=4*6*6=36*4=144cm^2 |
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| 65338. |
SIMILAR TRCD and GH are respectively the bisec-tors of CACB and ZEGF such that Dand H lie on sides AB and FE of AABCand AFEG respectively. If AABC -AFEG then show that9.CD ACGH FG(AS,) |
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| 65339. |
((x - 100x + 10)Given the parallelogram, solve for x.O 9080100180 |
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Answer» x+10+x-10=180; 2x=180; x=180/2=90 opposite angle of parallelogram is equalsum of all angle = 360two adjacent angle sum is 180x+10+ x-10= 1802x= 180x= 180/2= 90 90 is correct answer 90 is the correct Answer x+10+x+10=1802x+20=1802x=180-20x=160/2x=80 x = 90 is correct answer let ABCD be the given parallelogramin parallelogram ABCD angle A+angle D=180because sum of adjacent angles of parallelogram is supplementary =x-10+x+10=180x-x-10+10=1800-0=180=180 hence option 4)180 is correct |
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| 65340. |
construct a triangle similar to triangle abc in which ab=4.6cm,bc=1.5,angel a =60° with scale factor 4:5 . |
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| 65341. |
(vi) 211.02x4frectangle whose length i) 36.8 x 100 (mm) 156.1 x 100 (-(x) 0.08 x 10covers a distance of 55.310 litres of petrol?1 y 51 7 |
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Answer» The answer to your question2)3686)1561010)8 368156108is the answer of the following |
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| 65342. |
21.3 x 10168.07 x 103.62 x 1000.08 x 10 |
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Answer» 1. 213 2. 1680.7 3. 362 4. 0.8 |
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| 65343. |
compare the following pairs of rationalNumbers)ر ام-2از برادر |
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Answer» LCM of 5,8=40(-11/5)×40=-88(-21/8)×40=-105-88>-105-11/5>-21/8 -11×8=5×-21-88=-105-88>-105 |
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| 65344. |
Construct atriangle shadow similar to the given ABC, with its sides equalto S/3 of the corresponding sides of the triangle ABC. |
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Answer» Given, a ΔABC, we are required to construct a triangle whose side are of the corresponding sides of Δ ABCthe Steps are :- 1) Draw any ray BX making an acute angel with BC on the sides opposite to the vertex A. 2) Locate the points on BX such that 3) Join to C as 3 being smaller and through draw a line parallel to , intersecting the extended line segment BC at C’. 4) Draw a line through C parallel to CA intersecting the extended line segment BA at A’. Then A’BC’ is the required triangle. |
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| 65345. |
x \text { in } \frac{5^{3} \times 2^{5}}{5^{x}}=5^{3} \times 1.5 |
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| 65346. |
ange oo uwih Ahe bonktheのWen and bavls a distancGoom to reach Wne onothe |
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| 65347. |
Q.2 HUWQ.3 How many terms ofthe arithmetic progression 24, 21, 18,.... must be taken sothat their sum is 78?1 ond sum 36. Find the |
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| 65348. |
. Findд. 8-3b. 36Subtract the first integer fro |
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Answer» 8-3 = 5 is the correct answer 8-3 = 5is the correct answer Answer 👇👇👇👇👇8-3=5 |
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| 65349. |
The outer diameter and thickness of a hollow spherical shell are 21 cm and 3 cm respectively. Findthe volume of the shell.20 |
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Answer» galat hai |
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| 65350. |
ABC and AXYZ. AB-2.6 cm, AC-3 cm, BC-35 cm, XY-3.5 cm, XZ-26 cmand YZ3 cm.3.5 cm3.5 cmAre the two triangles congruent? If yes, write the congruence relation in symbolic form. |
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Answer» By SSS rupe ∆ABC and ∆ZXY are congurent |
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