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.
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6. Find the least number of square miles whichshape having length and breadth 16 metres 38 centimetres and32 centimetres respectively.metres |
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Answer» Given length of hall = 20m 20cm = 2020cm. Given breadth of hall = 12m 40cm = 1240cm. Now, The size of square tiles will be the HCF of 2020 and 1240. = > HCF of 2020 and 1240 = 2 * 2 * 5 = 20cm. Now, Area of each tile = 20 * 20 = > 400 cm^2. The required number of tiles = Area of hall/Area of each tile = > (2020 * 1240)/400 = > 6262. |
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| 78552. |
If a^2-3a+1=0 find (1)a^2+1/a^2 (2)a^3+1/a^3 |
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Answer» thanks a lot canu you kindly solve part2 |
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| 78553. |
Composite Mathematics-VII22816. A wooden box (including the lid) has external dimensions of 40 cm by 34 cm by 30 cm. If the wood is1 cm thick, how many cm of wood are there in it? |
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Answer» Volume of wood = 40*34*30 - 38*32*28= 40800 - 34048= 6752 cubic cm. |
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| 78554. |
4.10MATHEMATICS-IX6. The mean weight of 8 numbers is 15. If each number is multiplied by 2, what will bethe new mean?i 18 If one number is excluded, their mean is 16. Find the |
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Answer» Mean =sum/815=sum/8Sum=120New mean=2*Sum/8=15*2=30 |
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| 78555. |
45. The angle of elevation of a jet plane from the point A on the ground is60°.Afteraflightheight d30 seconds, the angle of elevation changes to 30°. If the jet plane is flying at a constant3600 3 m, find the speed of the jet plane. |
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Answer» Read the qouestion First stupid |
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| 78556. |
Find1% of 1 hour. |
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Answer» 60 min = 100 percentage1 percentage= 60/100min= 30/50= 3/5 |
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| 78557. |
A man walking at the rate of 5km/hr crosses a bridge in15 mins. The length of the bridge (in meters) is Ans-7.2 /135o meter4.1 |
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Answer» The speed of man is = 5km/h , and time taken by the man is = 15min = 15/60 hr = 1/4hrs so, length of bridge = SPEED×TIME = 5*(1/4) = 1.25Km = 1250m |
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| 78558. |
6L3 41212The numerator of a fraction is 6 less than the denominator. If 3 is added to thenumerator, the fraction becomes equal to23Find the original fraction. |
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| 78559. |
The surface area of a solid sphere is 120 square centimetres.into two halves, what would be the surface area of each hemisphere?(1)If it is cut |
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| 78560. |
The lateral faces of a square pyramid are equilateraltriangles of side 30 centimetres. What is the surfacearea? |
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| 78561. |
(2) A tent is in the form of a cylinder whose height is 5 m surmounted by a cone of equalbase. The diameter of base is 105 m. The slant height of cone is 50m. Find the cost ofcloth at 15 per sq metre to make the tent. |
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| 78562. |
Additional Questions1.Find the area of the figures.3. F20 cm4 cm8 cm10 cm3 6 cm2 cmB.16 cmA.K&U |
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| 78563. |
Il 901 Covers less distance?What is the perimeter of each of the following figures? What do you infer fromthe answers?25 cm30 cm30 cm(c)F25 cm40 cm40 cm |
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Answer» for question (a)it would be 4 × side4×25 cm= 100 cm as it is a square for question (b)as it is a rectangleit would be 2×(length+breadth)so it would be 2×(30+20)=100 cm |
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SECTION-B: MATHEMATICS16. If a2 b2 + c2 14, then ab + bc + ca is alwaysgreater than or equal to |
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| 78565. |
If ab+bc+ca=0, then find 1/a2-bc +1/b2-ac +1/c2 - ab |
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Answer» Given: ab+bc+ca=0To find : Value of1/(a^2-bc ) + 1/(c^2-ab) + 1/(a^2-bc)substitute -ac = ab + bc ; -ab = ac+ bc and -bc =ab + ac 1/(a^2-bc) +1/(c^2-ab) +1/(a^2-bc) =(1/(a2+ab+ac))+(1/(c2+ac+bc))+(1/(a2+ab+ac))=(1/a(a+b+c))+(1/b(a+b+c))+(1/c(a+b+c))=(ab + bc + ca)/[(a+b+c)(abc)]=0since ab+bc+ca=0 |
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What time was it 3600 seconds before 12 mins. |
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| 78567. |
Q17. Find the value of 6% of 2hrs 40 mins.4 |
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Answer» 6 1/4=25/4 now 2hrs 40minutes=2*60+40=120+40=160minuteshence25/4% of 16025/400*160=10minutes |
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| 78568. |
tha S B\ AL Otosy =0सकल शक Td Mo xddiagie W |
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Answer» given point (1,2)(0,0)(a,b)these points r collinear it means their slopes r equalnow slope m AB = y2-y1/x2-x1=0-2/0-1= -2/-1=2& slope BC= b-0/a-0= b/anow 2= b/ab=2a |
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| 78569. |
9)Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. theconstruct another triangle whose sides are 5/3 times the corresponding sides of the given triangle. Givethe justification of the construction. |
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| 78570. |
MODERN'S abc OF MATHEMATICS-X20. The denominator of a fraction is 4 more than twicethe numerator. When both the numerator anddenominator are decreased by 6, then thedenominator becomes 12 times the numerator.Determine the fraction. |
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| 78571. |
Long Answer Type Questions18. The sum of the numerator and denominator of afraction is 4 more than twice the numerator. If thenumerator and denominator are increased by 3, theyare in the ratio 2:3. Determine the fraction. |
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| 78572. |
4)How many different (non-congruent) triangles can you draw with twosides 8 and 6 centimetres and area 12 square centimetres? What if thearea is to be 24 square centimetres? |
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Answer» From 8 side 16/6 side 12/12 square cm. hi i also in 9th 8side |
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What is the volume of a square pyramid of base edge 10 centimetresand slant height 15 centimetres?(1) |
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| 78574. |
IConvert into centimetres(a) 12 m |
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Answer» 1m is equal to 100cm so 12m will be 12*100cm 1200cm thank u very much for the help |
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EXERCISE 31. Convert into centimetres.a) 2 mb) 10 me) 7 m 75 cm f) 1 m 5 cmosc) 3 m 20 cm8) 10 m 1 cmConvert into metres and centimetres.500 cmb) 1000 cmc) 110 cmg) 1111 cm3200 cmf) 1040 cmng kilometres into metres |
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Answer» 1)a) 200 cm b) 1000 cm c)320 cm e) 775 cm f) 105 cm g) 1001 cm |
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In the figure, MN is parallel to QR.PM 6 centimetres, PQ 10 centimetres.a) What is the length of MQ?b) What is PN: NR?3. |
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Answer» mq=4,pn:nr=4:4 is the answer for your question all the best |
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If a,b,c are all non-zero and a+b+c 0, prove thata2 b2 c2bc ca ab |
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ę 1. Prove that the roots of thequadratic equation3x +25x -5 0 are real and unequal. Also, find the(2017)roots. |
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Answer» like if it is useful |
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pommibie tov a rigle with the following sides? 3 cm, 6 cm, 7 cnmmins interior of a triangle POR. Is |
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Answer» Sol:(i) No. It is not possible to have a triangle with sides 2 cm, 3 cm and 5 cm.Sum of any two sides of a triangle must be greater than the third side.3 cm + 2 cm = 5 cmThe sum of two lengths is equal to the third side. Therefore, 5 cm, 3 cm and 2 cm cannot form a triangle.(ii) Yes. 6+3= 9>7(true)(iii) No. Sum of any two sides of a triangle must be greater than the third side.3 cm + 2 cm < 6 cmThe sum of two lengths is smaller than the third side. Therefore, 6 cm, 3 cm and 2 cm cannot form a triangle. |
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Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and3 cm. Then construct another triangle whose sides aretimes the corresponding sidesof the given triangle. |
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25. Find such value of p for quadratic equationpo2-3x + 5 = 0 that has two equal roots.P.S.E.B, 2017 Set-Rl |
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The pairs of linear equations in two variables ax + bịy + c = 0 and a,x+by+C =0 hasInfinitely many solutions ifa aAr by[B] 619az by saa1614az b ez[D] a1.b.ar by a |
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Answer» answer is Dwhen the two ratio of the coefficients of two linear equations are identical, then the solution of such equations are infinite, option (d) is correct answer. right answer is dbecause ratio of coffienct are equal so it infinite solution Option D is the correct answer. D is correct sooooo Da1/a2=b1/b2=c1/c2 |
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oose the correct alternative from the following.Standard form of linear equation in two variables isA) ax+bx+c+0C) ax+bx + c 0B) Đ°Ń + by + c-0D) ay +byc |
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Answer» Standard form is ax+by +c = 0 as linear means to have degree of one B) Option thanks (B) option ax+by+c=o is standard form Option (B) ax+by+c=0 |
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(1) When 5 is subtracted from length and breadth of the rectangle, the perimeterbecomes 26. What is the mathematical form of the statement? |
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Answer» let Length be x and breadth be yAccording to questionx - 5y - 5then perimeter = 2( x + y -10) = 26x + y - 10= 13x + y = 23 |
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26.1. Find the fraction which becomes when thedenominator is increased by 4 and is equal towhen numerator is diminished by 5 |
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Answer» Let the fraction be x/y. The fraction becomes 1/2 when the denominator is increased by 4 ⇒ x / (y + 4) = 1/2⇒ 2x = y + 4⇒ 2x - y = 4 -------------------------- (1) The fraction is equal to 1/8 when the numerator is diminished by 5 ⇒ (x - 5) / (y) = 1/8⇒ 8x - 40 = y⇒ 8x - y = 40 -------------------------- (2) Solving equations (1) and (2), we get x = 6 and y = 8. Therefore, the required fraction is 6/8. |
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6x +y32-27he perimeter of a triangle whose sides are 2a + 3b, b-a, 4a-2b.Find the perimeterba4a-262a+36 |
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CAP1. If x= 3, find the(a) x + 33. find the value of the following:(b) 3x - 62 Ifr=(C) 9–3x (d) x-11, find the value of the following:(2) 3x-1(b) – 3x² + 2x-1 (c)-2-2+x-1 (d) &+*+13. If x= 1 and y = -1, find the value of the following:(2) 2 +3(b) 2 +3 + xy (0) 37 +37–3x7 (6) 2+2– 2xy4 Find the value of the following expressions when x = 0, y = -2.(a) 2 +3 + 2xy (b) X-3(c) 22 +27 - xy (d) 2 - xy +75. Simplify the expressions and find the value when x = -2.(a) 3(x+5)-X-7 (B) x+5-2(x - 5) (6) 2(4x - 1) + 4(2x+1)5 when (a) = -1 (b)x= 1? |
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Answer» 1a)3-3=0, b)3x-6=3(3)-6=9-6=3, c)9-3x=9-3(3)=9-9=0; d)2/3x-1=2/3(3)-1=2-1=1 x=0, y=-2; 4(a)=x^2+y^2+2xy=(0)^2+(-2)^2+2(0)(-2)=4; (b)x^2-y^2=(0)^2-(-2)^2=-4; (c)2x^2+2y^2=2(0)^2+2(-2)^2=8, |
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Draw the net of each of the following shapes:A. Cube B. Cone C. Cylinder |
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Answer» A) B) C) |
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MATHEMATICAsplit the following shapes into rectangles and find their areas agiven in centimetres) |
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Answer» we have to draw these all the shapes show the full diagrams |
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. Find the perimeter of the following shapes:fi) a triangle whose sides are 5.4 cm, 4.6 cm and 6.8 cm |
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Answer» The perimeter is sum of all sides.Perimeter=5.4+4.6+6.8=16.8 cm perimeter is 16.8 is ans |
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colit the following shapes into rectangles and find their areas. (The measures areaven in centimetres):1210 |
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\left| \begin{array}{ccc}{1} & {1} & {1} \\ {a^{2}} & {b^{2}} & {c^{2}} \\ {a^{3}} & {b^{3}} & {c^{3}}\end{array}\right|=(a-b)(b-c)(c-a)(a b+b c+c a) |
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| 78593. |
Find the perimeter of each of the following shapes(a) A triangle of sides 3 cm, 4 cm and 5 cm. |
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Answer» Perimeter = Sum of lengths of sides = 3+4+5= 12 cm PLEASE HIT THE LIKE BUTTON |
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plit the following shapes into rectangles and find their areas. (The measgiven in centimetres)measures areI012410 |
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6. Find the perimeter of each of the following shapes(a) A triangle of sides 3 cm, 4 cm and 5 cm. |
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Answer» Explanation : Perimeter means addition of all 3 sides. Perimeter = 3+4+5 = 12 cm Answer : 12 cm If you find this answer helpful then like it. the correct answer isperimeter of triangle is sum of all side= 3+4+5=12. |
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4. Show thatx=-be is a solution of the quadratic equationadax 2cCBSE 2017 |
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Answer» The equation is not a quadratic equation or the question is incomplete.. |
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II.12.Write the general form of linear equation in two variables x & yWhat is the length of the longer part when a line segment of length 10cm |
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1.If (x. -1) is the solution of linear equation of two variables ax-v-7, then |
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Answer» X=X means in given the (x,-1) means put x in x place and in y place put -1, first x coordinate and second is y coordinate. X2 will not come over there i can't understand your claim what x2 means Now you can uderstand Thank you soo muchhhh |
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A tell's B, Give me Rs. 900 and I shall have twice as much as you will have". B replies, " If you giveme Rs 100, I shall have thrice as much as you will have'. Represent the above statements in twolinear equations in two variables x andv |
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Answer» Let A have money = xLet B have money = y First conditionx + 900 = 2(y - 900)x - 2y = - 2700....(1) Second Condition 3(x - 100) = y + 1003x - y = 400......(2) |
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EXERCISE 4.3Draw the graphof each of the following linear equations in two variables:(#) x-y 2(iii) y=3x(iv) 3-2x + yh( 14) How many more such lines |
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