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.
| 62501. |
6. A box has 145 kg of rice. If th of the ricewas eaten, how many kilograms of rice wasleft? |
|
Answer» 144.6 is the answer of the following 144.6 is the correct answer The right answer is 144.6.. eaten rice=2/5left rice=1-2/5=3/5left kg of rice=3/5*145=3*29=87 kg if u satisfied with the ans then like or cmmt ✌️ this is the correct answer ok Total rice=145kgEaten=2/5 th of 145=2*29=58kgLeft=145-58=87kg |
|
| 62502. |
Example 21. Let the opposite angular points of a squarebe (3, 4) and (1, - 1). Find the co-ordinates of theremaining angular points. |
| Answer» | |
| 62503. |
दाहरण 22. सिद्ध कीजिए किcot u—' =J2+3+V4+/6" |
|
Answer» Converting Cot(π/24) into degrees by multiplying the angle by 180/π we can get Cot(π/24)= cot 7.5 cotA= (1+cos2A)/sin2A We can write Cot (15/2)= (1+cos15°)/sin15°……………(1) Now cos15°= cos (45°-30°) =cos45.cos30+sin45.sin30 =1/√2.√3/2+1/√2.1/2 => cos 15°= (1/4) (√6 + √2) Similarly sin15° = (1/4) (√6 - √2) Putting these values in eq. (1) Cot (15/2)= [1 + (1/4) (√6 + √2)] / [(1/4) (√6 - √2)]= (4 + √6 + √2) / (√6 - √2) On rationalisationCot (15/2)= [(4 + √6 + √2) * (√6 + √2)] / [(√6 - √2) * (√6 + √2)]= (4√6 + 6 + 2√3 + 4√2 + 2√3 + 2) / 4= (4√2 + 4√3 + 8 + 4√6) / 4= √2 + √3 + √4 + √6. |
|
| 62504. |
4. यदि x = 2+ J2, तब +4 का मान है ।है |
|
Answer» x^2=(2+√2)^2=4+2+4√2=6+4√21/x^2=1/6+4√2*6-4√2/6-4√2=6-4√2/36-32=6-4√2/4hencex^2+4/x^26+4√2+6-4√2=12 |
|
| 62505. |
+"(or Lin mm)1 + 2 + 3 +9. Lim |
| Answer» | |
| 62506. |
lin!(çł)Find the nth terrn ofthe A.P-10,-15,-20,-25, |
| Answer» | |
| 62507. |
1. A table top measures 4 m by 2 m 50 cm. Find its area in square metres. |
| Answer» | |
| 62508. |
The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. Whif the breadth is b meters? |
|
Answer» The breadth of the rectangular hall b m. then the length of rectangular hall will be ( 3b -4 ) m. |
|
| 62509. |
seck at the nom de lin niven belows and tellhich keuls will be greater |
|
Answer» b is the greater value when compared to o and a b is the greater value of the answer |
|
| 62510. |
The volume of a box in the shape of a cube is 2.197 cubicmetres. Find the length of the edge of the box. |
|
Answer» Cube=side^3Henceside will be cube root of (2.197)=1.3mHence side length is 1.3m |
|
| 62511. |
Example 3 Let the sequence an be defined as follows:a_{1}=1, a_{n}=a_{n-1}+2 \text { for } n \geq 2 |
| Answer» | |
| 62512. |
at trlangle?Find the ratio between the area AABC and arearectangleΔACD of ther-3 cm4 cm |
|
Answer» thank u for the answer |
|
| 62513. |
Q.20)Theangles of a quadrilateral are in AP, whose commondifference is 10. Find the anglesQ.21) It the numbers n 2, 4nand 5n + 2 are in AP, therfind the value of n. eh |
| Answer» | |
| 62514. |
cSolve the following.Damesh borrowed Rs 500 from Sumit at the simple interest rate of 15 L o23900annum for 4 years. Calculate the amount to be returned. |
|
Answer» S. I=(500*4*15)/100=300, then Ramesh should be return to Sumit Rs (500+300)=800 |
|
| 62515. |
J2 CIll1s 288 sq. cm. Find its height.The base and the corresponding altitude of a parallelogram are 10 cm and 12 cm, respectively.If thether altitude is 8 em, find the length of the other pair of parallel sides. |
| Answer» | |
| 62516. |
7m+ 19/2=13 |
| Answer» | |
| 62517. |
27.A rectangular park Is to be designed whose breadth Is 3 m less than itslength. Its area is to be 4 square metres more than the area of a parkthat has already been made in the shape or an isosceles triangle withIts base as the breadth of the rectangular park and of altitude 12 m.(fig.) Find its length and breadth.12r+3 |
| Answer» | |
| 62518. |
D-21A Rectangular park is to be designed. Its breadth is 3 m lessthan its length. Its area is to be 4 squere meters more thanthe ares of pisoscelepark and altitude 12 m. Find the length and breadth.B)ark that has already been made in the shape of ans triangle with base as the breadth of the rectangular |
|
Answer» tq |
|
| 62519. |
Q,3) If sin α and Cos α are tho roots of the oquation ax 1-hr-1 = 0 then showthat |
|
Answer» thanks |
|
| 62520. |
- 2Find:MiloLIN+ |
|
Answer» -370---------. =0.41900 11/5 is the correct answer 11/5 is correct answer 2.2 is the correct answer -2/5+2/5_-3/5×1/6-2/5+2/5+2/52/5 11/2 is the best answer 11/5 is the correct answer. 11/5 is correct answer. |
|
| 62521. |
If a man works Ikmh faster thanits; usuallyallespeedveel that he coverdistance of 3 man in 150 min desstime. Find his usuall speeds.lore |
| Answer» | |
| 62522. |
PAGE NoDATEna) 25 m |
|
Answer» Area of verandah = 29*19 - 25*15= 551 - 375= 176 sq m very very thank |
|
| 62523. |
3)From the corners of a square card board of side 18 cm ,squares of side x are cut out and the edges are-thenturnedupsoastofornan open box.EindthevalueofLIfthe volume ofthe boxis maximumAns : f(x)= 4(x3-18x + 81 x)& f has maximum at x = 3 |
|
Answer» please like my answer if you find it useful |
|
| 62524. |
ehe12 A rectangular park is to be designed whose breadth is 3 mllength. Its area is to be 4 square metres more than the area of a park that hasbeen made in the shape of an isosceles triangle with its base as the breadthrectangular park and of altitude 12 m (see Fig. 4.3). Find its length and breadtalnn Let the breadth of the rectangular park be x m. |
|
Answer» Let the length be ltherefore breadth=l-3area=l(l-3)the area of isosceles triangle = 1/2×(l-3)126(l-3)given:l(l-3)-4=6(l-3)l²-3l-4=6l-18l²-9l+14=0l²-2l-7l+14l=0l(l-7)-2(l-7)=0(l-2)(l-7)=0l=7or 2and the breadth is 4since breath cannnot be negative. |
|
| 62525. |
A cistern 6 m long, 4 m wide, contains water to adepth of 1 m 25 cm, find the area of the wet surface.5. |
| Answer» | |
| 62526. |
7. Find the area of a rectangular park whicha rectangular park which is 36 - m long and 16-m broad.O |
| Answer» | |
| 62527. |
The length of a rectangular park is 8 m more thanits breadth. If area of the park is 240 m2, therfind the length and breadth of the park. |
|
Answer» l = b + 8A = 240l × b = 240(b + 8) × b = 240 b^2 + 8b - 240 = 0(b - 12)(b + 20) = 0b = 12, b = -20Since length cannot be negative, b = 12 is the solution. l = 20 mb = 12m let breath = xlength= x+8area= 240x(x+8)=240x^2+8x-240=0x^2+20x-12x-240=0x(x+20)-12(x+20)=0(x+20)(x-12)=0either x+20=0, x= -20 (impossible because length never be in -ve)so x-12=0x= 12so breath = 12mlength= x+8= 12+8=20 m length of park=20m , and breadth of park= 12m please like e my answer |
|
| 62528. |
Q.22 The breadth of a rectangular park is 7m less than its length. If the perimeter of thepark is 1034m, find the dimensions of the park. |
|
Answer» Let the Length of the Park be X m Then Breadth of the park = ( X - 7 ) M Perimeter of Rectangle = 2 × ( L + B ) Perimeter Given = 1034 m So we have , 2 × ( X + X - 7 ) = 1034 2 × ( 2X - 7 ) = 1034 (2X - 7 ) = 5 17 2X = 517 + 7 2X = 524 X = 262 〰Length of plot is 262 m 〰Breadth of plot is 255 m |
|
| 62529. |
एक परीक्षा में कमकिए। ईशा ने आवाके कुल प्राप्तांक 170५५ ५५ में एने करन ने भावना से 10 अंक अधिक प्रार३ भावना से 5 अंक कम अप्त किए। यदि तीजपालांक 170 हैं, तो इंशा के प्राप्तांक वा केONY 2014 |
|
Answer» भावना की अंक x हो तो(x + 10) + x + (x - 5) = 170 3x + 5 = 170 3x = 165 x = 55ईशा के प्राप्तांक = x - 5 = 55 - 5 = 50 |
|
| 62530. |
3 Proof that cicle drown with ony side of a rhom bus hasdiametsr pases thangh the point ot intensecthon tit.. ซี่ |
|
Answer» (1)-let ABCD be a rhombus in which diagonal are intersecting at point O and circle is drawn while taking side CD as it's diameter we know that a diameter subtends 90°on the arc.(2)-thus,angle COD=90°(3)-Also, in rhombus,the diagonal intersect each other at 90°(4)-angle AOB=angle BOC= angle COD= angle DOA=90° (5)-Clearly,point O has to lie on the circle. please like and comment my answer is wright or not |
|
| 62531. |
Example 12 : A rectangular park is to be designed whose breadth is 3 m less thlength. Its area is to be 4 square metres more than the area of a park that has lbeen made in the shape of an isosceles triangle with its base as the breadthrectangular park and of altitude 12 m (see Fig. 4.3). Find its length and breadt |
|
Answer» Let the length be ltherefore breadth=l-3area=l(l-3)the area of isosceles triangle = 1/2×(l-3)126(l-3)given:l(l-3)-4=6(l-3)l²-3l-4=6l-18l²-9l+14=0l²-2l-7l+14l=0l(l-7)-2(l-7)=0(l-2)(l-7)=0l=7or 2and the breadth is 4since breath cannnot be negative. |
|
| 62532. |
nat. Curetwo -positive-real2.2Find the alle2 0 |
|
Answer» so answer will be +8 as given that both are real and positive. |
|
| 62533. |
104MATHELINIn Fig. 6.29, ifAB ll CD, CDI EF and y : z = 3 : 7,find.x2.6. |
| Answer» | |
| 62534. |
MATHEr tan xsec xCos rda |
| Answer» | |
| 62535. |
TEACH YOUR SELF MATHE1-cos Asin Al +coS Asin A |
|
Answer» sinA/1-cosA =1 +cosA/sinA L.H.S=sinA/1-cosA =sinA(1+cosA)/(1-cosA)(1+cosA) =sinA(1+cosA)/1-cos^2(A) =sinA(1+cosA)/sin^2(A) =1 +cosA/sinA =R.H.S |
|
| 62536. |
Find when:ax1. 12y2-4 |
|
Answer» 1. x² + y² = 4 Differentite wrt x 2x + 2y dy/dx = 0 dy/dx = -x/y |
|
| 62537. |
MATHE4 Prove that the tangents drawn at the ends of a diameter of a circle are parallel. |
| Answer» | |
| 62538. |
160MATHE6. A farmer was having a field in the form of a parallelogram PORS. She took any poion RS and joined it to points P and Q. In how many parts the fields is divided? Ware the shapes of these parts? The farmer wants to sow wheat and pulses in eportions of the field separately. How should she do it? |
| Answer» | |
| 62539. |
Find the area of the shaded region if ABCD is asquare ofside 14 m andAPD and BPC aresemi circles.29.A)40cm B)41cm2 C) 42 cm D) 44cm2 E) 0 If abc dare integers then nroduot |
| Answer» | |
| 62540. |
hess board contains 6squares and area of easq.cm. A border around the boardwide. Then the length of the sideofthe chess board is |
|
Answer» For 64 cubes the placing will be :8 cubes with 8 rows. For every small square: area = side^26.25 = side^2side= 2.5 therefore side of chess board without border: 8 x side = 20 therefore size of the chess board with border is: 20 + 2= 22cm |
|
| 62541. |
8. B and C can complete a piece of work in 12 days. Cand A can do it in 8 days and A and B can alsocomplete it in 8 days. How much time will A alone take to complete the work? |
| Answer» | |
| 62542. |
Give any two real-life examples for congruent shapes. |
|
Answer» Give any two real-life examples for congruent shapes |
|
| 62543. |
9.The equations of the sides AB, BC and CA ofA ABC are y -- x=2, x + 2y = 1 and 3x +y +5=0respectively. The equation of the altitude throughBisys |
|
Answer» sorry i didn't understand the question sorry.please like The altitude passes through point B. We can get coordinates of point B by solving eqn of line AB and BC. y - x = 2x + 2y = 1Therefore B is (-1,1) Also, the altitude through B is perpendicular to side AC. => Slope of altitude = -1/Slope of AC= -1/(-3)= 1/3 So, we now have a pt. (-1,1) and slope of the line 1/3.Hence required eqn of the line (y - 1) = 1/3 (x +1)which is 3y - x = 4 (Ans) |
|
| 62544. |
Divide the polynomial 3y-ys 12y2+ 2 by 3y2-1 and hence find the quotient & remainder |
| Answer» | |
| 62545. |
The cost of 75 meters of LO IFind the area of a rectangular park which is 18 = m long and 85 m broad. |
|
Answer» Area= breadth x length= 93/5*26/3161.2m^2 |
|
| 62546. |
9.A beam 5m long and 40cm wide contains 0.6 cubes meters of weed. How thickthe beam? |
|
Answer» HIT THE LIKE BUTTON IF YOU ARE SATISFIED For example volume is height x length x weight so, height x length x width = .6 cubic meters h x 5 x .4 = .6 h = .6/(5 x.4) h/thickness = .3 m or 30 cm or 30/2.54 in or 11.8110 inches |
|
| 62547. |
4.Construct a triangle XYZ in which <Ys 30°, <Ze 90° and XY + Y2+ ZX = 1 1 cm. |
| Answer» | |
| 62548. |
Acan do a work in 21 days. B is 40%more good as A. In how much time Bcomplete the work?(A) 10(C) 24(B) 15(D) 28 |
|
Answer» one day work of A = 1/21B is 40 % more efficient than A which means that A will take 40% more days than B because efficiency and number of days are inversely proportional to each other. => 21 is 40% more than B’s days. => 21 = (140/100)*B’s days => B’s days = 21*(100/140) = 15 days |
|
| 62549. |
3)17(4) 24Ialuesline m is2=m(x-1) cuts the circle x,ys,at two real point then75.values of m iso real point, then the number of possible(3) infinite(4) 0 |
| Answer» | |
| 62550. |
(b)Who discovered the nucleus of atom? |
| Answer» | |