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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.
| 72401. |
Find the prime factorization of the denominator of the rational number expressed as 6.12CBSE 2015, 16]in simplest form543n atnte whether the number has |
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Answer» x = 6.121212121212… Multiply 100 on both side 100 x = 612.12121212121….. 100x = 606 + 6.12121212… 100x = 606 + x 100x – x = 606 99x = 606 X = 606/99 = 203/33 The rational number = 101 * 2 / 3 * 11 The denominator is 3 * 11 = 33 |
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| 72402. |
n freezing process requires that room temperature be lowered from 4 Catevery hour. What will be the room temperature 10 hours after the process(a) -10°Cbegins?-id)(b) 10°C(c) 20 C |
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| 72403. |
3/N 610G) For the quadratic equation x2 + 10x 7 0, the values ofa, b, c are:(A) a -1, b 10, c 7(B) a 1, b -10, c 7(C) Îą = 1, b 10, c =-7(ii) The tax levied by Central Government for trading within astate is:(A) IGST(B) CGST(C) SGST(D) UTGSTIf a die is rolled, what is the probability that number appearingon upper face is less than 2?(A) 3(iv)(B) 2(C) 1(D) 6P.T.O |
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Answer» 1-c 3- out 6 numbers only 1 is less than 2so,the probability of number less than 2 is 1/6 I.e D |
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| 72404. |
yhedron have 10 faces, 20 edges and 15 vertices? |
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| 72405. |
can polyhedron have 10 faces 20 edges 12 vertex |
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Answer» Euler's polyhedral formula (sometimes called Euler's formula). The number of vertices V, faces F, and edges E in a convex 3-dimensional polyhedron, satisfy V + F - E = 2. So, F = 10E = 20V = 12 V + F - E = 12 + 10 - 20 = 22 - 20 = 2 Yes possible thank you |
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| 72406. |
can a polyhedron have 10 faces 20 edges 12 vertex |
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Answer» Euler's polyhedral formula (sometimes called Euler's formula). The number of vertices V, faces F, and edges E in a convex 3-dimensional polyhedron, satisfy V + F - E = 2. So, F = 10E = 20V = 12 V + F - E = 12 + 10 - 20 = 22 - 20 = 2 Yes possible |
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| 72407. |
The volume of a cube of side 8 cm is |
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Answer» Given side length of cube s= 8 cm Volume of cube = (s)^3= (8)^3= 8*8*8= 512 cm^3 |
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| 72408. |
Find the perimeter of a regular pentagon of side 8 cm |
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Answer» 20000 20,000 answer perimeter of regular Pentagon = 5×side=5 × 8 cm= 40 cm |
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| 72409. |
the same distance upstielthe speed of the motor boat in still water.11. A steamer, going downstream in a river, covers the distance between two towns in15 hours. Coming back upstream, it covers this distance in 20 hours. The speed oflmihr Find the distance between two towns. |
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Answer» A steamer going downstream in a river covers the distance between two towns in 20 hour coming back upstream it covers this distance in 25 hours the speed of water is 4 km/h. find the distance between the two town.:Let s = speed of the boat in still waterthen(s-4) = speed upstreamand(s+4) = speed downstream;Distance both ways is equal. Make a distance equation; Distance = Time * speedUp distance = down distance25(s-4)= 20(s+4):25s - 100 = 20s + 8025s - 20s = +100 + 805s = 180s = 180/5s = 36 mph:Find the distance:Dist = time * speeddownstream: d = 20(36+4) = 800 mandUpstream: d = 25(36-4) = 800 m |
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| 72410. |
). A steamer,going downstream in a river, covers the distance between two towns in 20 hours. Coming backupstream, it covers this distance in 25 hours. The speed of water is 4 km/h. Find the distance betweernthe two towns.Hint. First find the speed of the steamer in still water.] |
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Answer» Is is maths or physics? Let the speed of the boat be 'x' kmph. then the speed in downstream will be = (x+4)kmph. the speed in upstream will be=(x-4) kmph. . now we have ,20(x+4)=25(x-4). 20x+80=25x-100 80+100=25x-20x. 180=5x. x=180/5 . x=36 |
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| 72411. |
In an A.P:() Given a = 2, d = 8, Sn = 90, find n and an(ii) Given a = 8, a= 62, Sn = 210, find n and d.(iii) Given a = 4, d = 2, S. =-14, find n and a.(iv) Given a = 3, n = 8, S = 192, find d.(v) Given I = 28, S = 144, and there are total 9 items. Find a. |
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| 72412. |
3 \left[ \begin{array}{cc}{5} & {-6} \\ {4} & {x}\end{array}\right]-\left[ \begin{array}{cc}{6} & {y} \\ {0} & {6}\end{array}\right]=3 \left[ \begin{array}{cc}{3} & {-2} \\ {4} & {0}\end{array}\right] |
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| 72413. |
\left[ \begin{array}{cc}{2 x-y} & {5} \\ {3} & {y}\end{array}\right]=\left[ \begin{array}{cc}{6} & {5} \\ {3} & {-2}\end{array}\right] |
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| 72414. |
19, 5 सेमी भुजा का एक घन एक आयताकार टैंक, जिसकी माप 25सेमी x 18 सेमी है, में रखा गया है एवं इसमें 3 सेमी गहराई तकपानी है। टैंक में कितना पानी डाला जाए, कि घन पानी से ठीक हकजाए?(a)50 cc(b) 900 cc(c) 75 cc(d) 775cc |
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Answer» option C ) 75 cc is the correct answer (b) is the correct answer of this question c) Is the correct answer (b) is the following question answer b is the correct option answer option C is the correct answer |
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| 72415. |
14% (थर्ड 2... (0.UK 1 g (D)210 Il bt ki o (D)DBy bk b BlE Melkl Dh D % 42 bl b b DBl (B2) |
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Answer» 1 नभचर2 सिपाही3 अष्टाध्याई दिगु समास seema ka praharigjjgyhug |
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| 72416. |
A) I10 C,+ 10 C, + 10 G + 10 C,10 Cg,(A) 29(B) 210(C) 210 - I |
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| 72417. |
72 kg of dynamite contains 54 kg ofpotassium nitrate and 10.8 kg of charcoalThe remaining is sulphur. Calculate thepercentage of sulphur. |
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| 72418. |
I8. A hollow cylinder cal pipe is 210 cm lon g. Its outer and inner diameter are 10cm and 6cmrespectively. Find the volume of the copper used in making the pipe. |
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| 72419. |
13. In an equilateral triangle of side 12 cm, a circle is inscribed touchingies.area of the portion of the triangle not included in the circle. Take·3= 1.73 and π=3.14. |
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| 72420. |
4. A square pyramid has a square as its base.FacesEdgesCorners : |
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Answer» 5 eges 6 corners and 4 faces |
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| 72421. |
give a picture of square pyramid and verify Euler's formula this |
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| 72422. |
An equilateral triangle of side 8 cm is inscribed in a circle. Find the radius of the circle. |
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| 72423. |
6. The top of a skyscraper is shaped like a squarepyramid. Each side of the base has a length of60 meters and the height of each triangle is 20meters. What is the lateral area of the pyramid? |
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Answer» lateral area of pyramid is 4800 meters square |
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| 72424. |
11. A steamer, going downstream in a river, covers the distance between two towns meed of15 hours. Coming back upstream, it covers this distance in 20 hours. The spthe water is 3 km/hr. Find the distance between two towns |
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| 72425. |
The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeterof the triangle. |
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| 72426. |
Select the best answer for the question1270(9x+10)mVnFind the value of x for which the lines / and m are parallel.A. 10O B. 13O C.5D. 4.7 |
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Answer» a+b=15 b*c=84 c÷4=3 b+d=18 find d (9x+10) = 127°9x = 117°x = 13 answer x is equal to 13 option b is the correct answer of the given question 9x+10=1279x=117x=13 option B is the correct answer....... ...... .... ....... b is crct ans............ b is crct ans............for this.... |
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| 72427. |
steamer going downstream in a river covers the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 km per hour find the distance between two towns. in equation |
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| 72428. |
lines XY and MN intersect at O. f90° anda :b2:3, find c.Fig6.14 |
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Answer» Given, ∠POY= 90° & a : b = 2 : 3 A.T.Q ∠POY+∠POX =180° [By linear pair axiom] ∠POY+a + b = 180°⇒90° + a + b = 180°⇒a + b = 90° Let a = 2x & b= 3x 2x + 3x = 90°⇒5x = 90°⇒x = 18° ∴a = 2×18° = 36° b = 3×18° = 54° Now, OX is a ray on the line MON. ∠XOM+ ∠XON=180° b + c = 180° (by Linear Pair axiom)⇒54° + c = 180°⇒c = 126° The value of c =126° Like my answer if you find it useful! |
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| 72429. |
(b)15 kg to 210 g |
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Answer» 15kg=15000g15000/2105000/70500/7 |
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| 72430. |
30.The perimeter of a triangle is 16 cm. If one side is 6 cm, find the other two sides so thatthe area of the triangle is maximum.ORGiven the sum of the perimeters of a circle and square, show that the sum of their areasis least when the diameter of the circle is equal to side of the square. |
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| 72431. |
inscribed in a square. An equilateralcircle is inscribeA ue diagonal of the square istriangle of side 4/3 cm is inscribed in that circle. The lengthside) 4V2 cm |
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| 72432. |
2. Find the number of faces, edges and vertices of the solids(a) Tetrahedron(d) Sphere(b) Cone(e) Square pyramid3. Can a polyhedron have.. as its faces?(a) 3 triangles(c) 4 triangles(b) a rectangle and 3 triangle(d) a square and 4 triangles |
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Answer» The answer for Qn 3 could be Option d. Apolyhedron hasitsfacesa square and four triangles which makes a pyramid on square base. |
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| 72433. |
(vi) Δ ABCΔ DEF13. ABCD is a trapezium in which AB |I CD andAD-BC (see Fig. 8.24). Show that(i) <As LB(iii) Δ ABC Δ BAD(iv) diagonal AC = diagonal BDHint: Extend AB and draw a line through Cparallel to DA intersecting AB produced at E.](i) ZC-LDFig. 8.24Quadrilaterals 1 |
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| 72434. |
18. Write the order of Rotationalof rotation for the followinga) Squareb)c)d)RhombusEquilateral triangleSemi circle |
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Answer» a)Square - 4,(Intersecting point of diagonals.) b)Rhombus - 2,(Intersecting point of diagonals.) c)Equilateral triangle-3,(Intersecting point of medians.) d)Semi-circle -1(Mid-point of diameter) |
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| 72435. |
A AN 1 IV कि l_' e616161 (Q) 61661 ()6160८ (8) 06012 (V)—R 291891RBIbE 61 + SR 61 + Mind 6] "६ |
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| 72436. |
ing downstream in a river, covers the distance between two towns in 20 hours. Coming backvers this distance in 25 hours. The speed of water is 4 km/h. Find the distance between20. A steamer, goithe two towns. |
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Answer» Solution :- Let The Distance Of Two Towns = y km Let The Speed Of Steamer = x km/hr Speed Upstream = x+4 Speed Dowstream = x-4 Time = Distance/Speed Upstream Case 25 = y/x-4 25x-100 = y x = y+100 / 25 Downstream Case 20 = y/x+4 y = 20x+80 x = y+100 /25 y = 20(y+100 / 25) +80 y = 20y+2000 / 25 + 80 y = 20y+2000+2000 / 25 25y = 20y+4000 5y = 4000 y = 800 km Answer - 800 km |
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| 72437. |
COMPARING QUANTITWorksheet 57swer the following questionsThe length ofreadtha room is 7.5 m and its breadth is 6 m. Find the ratio of its len |
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| 72438. |
611 + 61 |
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Answer» i^9+i^19= i +(-i) = 0 is the answer as i^2=-1. |
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| 72439. |
(-61)/1270 |
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| 72440. |
Find the ratio of:(a) 5 to 50 paise(c) 9 m to 27 cm1.(b)(d)15 kg to 210 g30 days to 36 hours |
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Answer» a. 10.1b. 500.7c. 100.3 |
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| 72441. |
given a, 4, d 2, S-14, find n anda |
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| 72442. |
12. ABCD is a trapezium in which AB | CD and AADBC (see Fig. 8.23). Show that: E(iii) Δ ABC ABAD(iv) diagona Ae diagonal BDHint: Extend AB and draw a line through CFig. 8.23párallel to DA intersecting AB produced at E.] |
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| 72443. |
12. ABCD is a trapezium in which AB II CD andAD = BC (see Fig. 8.23). Show that(iii) Δ ABC Δ BAD(iv) diagonal AC- diagonal BD[Hint: Extend AB and draw a line through CFig, 8.23parallel to DA intersecting AB produced at E.J |
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| 72444. |
Which of the following is not two-dimensional?SphereCircleSquareTriangle |
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Answer» sphere is it like a ball hence sphere is a 2 dimensional square,circle , Triangle are 2 dimensional so, the sphere is not 2 dimensional Sphere is 2 dimensionals diagram sphere is a 3d figure sphere is not 2 dimensional correct answer is sphere Sphere is not 2 dimensional as it is 3 dimensional |
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| 72445. |
ABCD is a trapezium in which AB II CD andAD BC (see Fig. 8.23). Show that12.(ii) A ABC A BAD(iv) diagonal AC diagonal BDHint: Extend AB and draw a line through CFig. 8.23parallel to DA intersecting AB produced at E.] |
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| 72446. |
a wanted to make a temporary shelter for her car, by making a box-like struc tures Parvewithtarpaulin that covers all the four sides and the top of the car (with the frontas a flap which can be rolled up). Assuming that the stitching margins are very small.and therefore negligible, how much tarpaulin would be required to make the shelier ofheight 2.5 m, w th base dimensions 4 m × 3 m? |
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| 72447. |
divide the following : p(x)2x³-x²-3x+36,g(x)x-3 |
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| 72448. |
ted to make a temporary shelter for her car, by making a box-ike structurevers all the four sides and the top of the car (with the front faceParvwith tarpaulin that coas a flap which can be rolled up). Assuming that the stitching margins are very small,and therefore negligible, how much tarpaulin would be required to make the shelter ofheight 2.5 m, with base dimensions 4 m x 3 m?een wan |
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| 72449. |
Lo 2 i g 8 s s 36 supel s gT TSRS SR S P 3 4 पक s S SLcmioRiee S,e N e e R e L S R |
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Answer» Solution:-Let the four consecutive numbers in AP be (a - 3d), (a - d), (a + d) and (a + 3d)So, according to the question.a-3d + a - d + a + d + a + 3d = 324a = 32a = 32/4a = 8 ......(1)Now, (a - 3d)(a + 3d)/(a - d)(a + d) = 7/1515(a² - 9d²) = 7(a² - d²)15a² - 135d² = 7a² - 7d²15a² - 7a² = 135d² - 7d²8a² = 128d²Putting the value of a = 8 in above we get.8(8)² = 128d²128d² = 512d² = 512/128d² = 4d = 2So, the four consecutive numbers are 8 - (3*2)8 - 6 = 28 - 2 = 68 + 2 = 108 + (3*2)8 + 6 = 14Four consecutive numbers are 2, 6, 10 and 14 |
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| 72450. |
16 The width of a rectangle is two-thirds its length. If the perimetedimensions of the rectangle.7. An altitude of a triangle is five-thirds the length of its correspondiincreased by 4 cm and the base decreased by 2 cm, the area ofsame. Find the base and the altitude of the triangle.responding base. If the altitude bearea of the triangle remains thequal to the third |
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