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.
| 70651. |
Find the value ofSin 2100 |
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Answer» sin210=sin(180+30)= cos30=V3/2 correct answer is √3/2 sin210= sin(180+30) = sin 30=3/2 sin 210= sin (180+30)=sin(90+90+30)= 1+1+1/2=2+2+1/2=5/2 the best answer is 3/2 3/2is the correct answer answer is√3/2 perfect |
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| 70652. |
3. Find the quadratic polynomial whose zeroes are given7below() 5, 63+2 3-23-2 3+2ilt |
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| 70653. |
A L)1+sinA cosACOsA 1+sinA =2 secA |
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Answer» LHS =cosA/(1+sinA) +(1+sinA)/cosA ={cos²A +(1+sinA)²}/cosA.(1+sinA) ={cos²A+1+sin²A+2sinA}/cosA.(1+sinA) use sin²∅ +cos²∅ =1 =(1+1+2sinA)/cosA(1+sinA) =2(1+sinA)/cosA(1+sinA) =2/cosA =2secA = RHS |
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| 70654. |
Show that: (1+sinA-cosA)/(1+sinA+cosA)+(1+sinA+cosA)/(1+sinA-cosA)=2cosecA |
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| 70655. |
Prove that : (1+cosA+1+cosA)Ă(1cs inA+IcosAA) = 4 secA. cosecAsinA 1+coSA coSA 1+sinA1-cosA sinA丿(1+sinA cosA |
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| 70656. |
Find the value1.öltuieun50°60° |
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Answer» sum of interior angles of a triangle = 180=> x + 50° + 60° = 180° x + 110° = 180° x = 180° - 110° x = 70° |
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| 70657. |
Prove that= 1+CosA+SinA =1+SinA 1+CosA-SinA CosA |
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| 70658. |
4es equal toif I is added to both numerator and denominator. IfA fraction becomes equal tohowever, 5 is subtracted from both numerator and denominator, the fraction becomesequal to&.if 1 is added to both numerator and denominator.5. What is the fraction? |
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| 70659. |
4A sum of money becomesof itself in 6 years at a certain rate of simple interest. Find the rate of intrest |
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| 70660. |
821. A sum of money becomes- of itself in 5 years at a certain rate of simple interest. Find thrate of interest. |
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| 70661. |
Integrate the functions1. 1/x-√x |
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| 70662. |
Cost of ploughing at the rate of Rs. 10 per m2 is Rs. 1,540. Find theradius of the circular field. |
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Answer» Cost of ploughing = total area x cost of poulghing per 1 ( or given ) metre . In the given question, Cost of ploughing per metre= Rs 10 per m^2 Cost of ploughing the whole area = Rs 1540 = > Total area x Rs 10 / m^2 = Rs 1540 = > Total area = Rs 1540 / Rs 10 m^2 = > Total area = 154 m^2 As the given field is circular in shape, it's area should be πr^2. Let the radius of the field be a, Area of the field = 154 m^2 ( from above ) = > ( 22 / 7 ) x a^2 = 154 m^2 = > a^2 = 154 x 7 / 22 m^2 = > a^2 = 7 x 7 m^2 = > a^2 = 7^2 m^2 = > a = 7 m Hence the radius of the circular field = 7 m. |
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| 70663. |
integrate - x^4 +1 ÷ x ^2 +1 dx |
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| 70664. |
3Cost of ploughing at the rate of Rs. 10 per m2 is Rs. 1,540. Find theradius of the circular field. |
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Answer» Area of circular field = 1540/10 = 154Area of circle = πr²154 = 22/7 × r²49 = r²7 = r |
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| 70665. |
Muli spent of his salary on food and ? on rent. Hewas left with sh 2100. What is his salary? [2004 No. 42110 |
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Answer» Let Muli's salary be x. Money spent on food = 3/10 of x = 3x/10 Money spent on rent = 2/3 of x = 2x/3 Money left with him = 2100 (3x/10) + (2x/3) + 2100 = x x - (3x/10) - (2x/3) = 2100 ( LCM = 30) 30x/30 - 9x/30 - 20x/30 = 2100 (30x - 9x - 20x ) / 30 = 2100 x/30 = 2100 x = 2100 * 30 = 62,000 Answer: Muli's salary = 62,000 3/10=2100 so 1 =(2100÷3)×10= 7000 |
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| 70666. |
integrate =>. x√(3x-2) |
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Answer» your answer is wrong... Here is a similar question. |
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| 70667. |
Integrate the functionsin - cos x1-2 sina x cosa x |
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| 70668. |
०09 809 ८0६ पा8 + ०0६ 509 ८09 पा (T |
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| 70669. |
larparkisngtuiewall,ifthe rate45 m long and 30 m wide. A path 2.5 m wide is construciedde the park. Find the area of the path.ou |
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Answer» Area of path is area of park with path - area of rectangular park area of park =lxb=45x30=1350 cm2area of park with path is =45+2.5+2.5 x 30+2.5+2.5 = 1750cm2area of path = 1750-1350=400 cm2 |
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| 70670. |
OUvalent fractions.with denominator 63mple 5: Find the equivalent fraction of |
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| 70671. |
a sum of money becomes four fold in 12 years at simple interest. how many times will it become 7 times? |
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| 70672. |
7.The lateral surface area of a cylinder oflength 14 m is 220 m2. Find the volume of the cylinder |
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| 70673. |
dyĐ°Ń ysin (VSin x+ cosx),find |
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Answer» Let w = √( sin x + cos x ) , V = sin x + cos x So y = sin w w = √v and V = sin x + cos x dy / dw = cos w dw / dv = 1/(2√v) and dv/ dx = cos x – sin x Thus dy / dx = ( dy / dw ) × ( dw / dv ) × ( dv / dx ) = cos w × 1/(2√v) × ( cos x – sin x) = cos [√( sin x + cos x ) ] × 1/ [ 2 √(sin x +cos x) ] × ( cos x – sin x) |
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| 70674. |
llOe area and by how much?U3uS I8, A door of breadth 1m and height 2 m is fitted in a wall. The length of the wall is4.5 m and the height is 3.6 m. Find the cost of white washing the wall, if the rateof white washing the wall is 20 per m2 |
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Answer»
*From which book have you taken this question? Please tell us so that we can provide you faster answer.* |
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| 70675. |
17. A wall is 4.5 m long and 3 m high. It has two equal windows, each having form and dimensionscas shown in Fig. 37. Find the cost of painting the wall (leaving windows) at the rate ofR15per m2diagoa) 12 The area ofarea of the(a) 1m3 A path ofevelling(a) 14. The lenrectang(a) 4the sh5. In Fig80 cm |
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| 70676. |
number of 20 pasa con but all the number of 50 paisa coins Find the number of coins of each type11. A number consists of digits. The digit at tens place is 2 times the digit in the unit place. The numberformed by reversing the digits is 27 less than the original number. Find the number. |
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| 70677. |
Integrate (sin⁴x dx) |
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Answer» integrate sin^4 x.dx=>[sin^2(x)]^2 =>[(1 -cos(2x)/2)]^2 =>1/4[1 + cos^2(2x) - 2cos(2x)] =>1/4[1 - 2cos(2x) + (1 + cos(4x)/2 ] =>(1/4) - (1/2)cos(2x) + (1/8) + (1/8)cos(4x) =>(3/8) - (1/2)cos(2x) + (1/8)cos(4x) so ∫sin^4(x)dx = 3/8∫dx - 1/2∫cos(2x) dx + 1/8∫cos(4x) dx ∫sin^4(x)dx = (3/8)x - (1/2)sin(2x)*(1/2) + (1/8)sin(4x)*(1/4) + c ∫sin^4(x)dx = (3/8)x - (1/4)sin(2x) + (1/32)sin(4x) + c |
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| 70678. |
The cost of a pen is sh q while that of an exercise book is sh 30 less than thatof a pen. The cost of a rubber is a quarter that of an exercise book.If Shimulispent sh 129 to buy the three items, what was the price ol a pen? |
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Answer» cost of pen = qcost of exercise book = q - 30cost of rubber = (q-30)/4q + (q - 30) + (q - 30)/4 = 1299q - 150 = 5169q = 666q = 74 |
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| 70679. |
IntegrateXJ x+2 |
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| 70680. |
Sabarmati exprees lapes 18 sebents topars compilestĂŠly shanghe station bt.ding and 15 seconds through anollerMelior nom long the length of theSaber mati expressis1321) 100 m890A gomInfo |
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Answer» 132is right answer of this question |
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| 70681. |
m2. Find its height.3. The total surface area of a right circular cylinder of radius 7 cm is 1188 c4. Four times the area nf tho cunod |
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Answer» Total surface area of cylinder= 2*pi*r (r + h) Given TSA = 1188, r = 7, h =? 1188 = 2*22/7*7(7 + h)7 + h = 1188/447 + h = 108/4 = 27h = 27 - 7h = 20 cm.Height of cylinder is 20 cm |
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| 70682. |
) The total age of a mother and her daughter is 60 yearsThe difference between their ages is 30 years. Find outthe age of mother |
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Answer» Let the mother and her daughter's age be x and y years respectively. x+y=60 ----(1)x-y=30-----(2) Add (1) and (2): 2x= 90 => x=45 years Therefore, Mother's age is 45 years and daughter's age is (60-45)=15 years. |
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| 70683. |
oS 509 BEUTS |
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Answer» sin (38°)-------------- cos(52°) sin (90° - 52°)---------------------- cos(52°) cos(52°)------------cos(52°) 1 From which book have you taken this question? Please tell us so that we can provide you faster answer. |
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| 70684. |
How many times will the wheel of a car rotate in a jowheel is 56 cm?urney of 88 km if the diameter of |
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Answer» First of all,change the 88 km into cm.which will 88 km = 8800000 cmDiameter of given wheel = 56 cmthen, radius of the wheel = 28 cmWe know that,circumference of the wheel = 2πr2×22/7×28 =176 cmthen we just divide it out.8800000/176.= 50000SO WHEEL HAVE TO BE ROTATED 50000 TIMES TO REACH THE DISTANCE OF 88 KM. |
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| 70685. |
ſlog (1 + x) dx.JoX |
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| 70686. |
A door oflength 2 m and breadth Im is fitted in a wall. The length of thewall is 4.5 m and the breadth is 3.6 m (Fig11.6). Find the cost of whitewashing the wall, if the rate of white washing the wall is 20 per m8. |
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| 70687. |
8. A door of length 2 m and breadth Im is fitted in a wall. The length of hewall is 4.5 m and the breadth is 3.6 m (Figl1.6). Find the cost of whitewashing the wall, if the rate of white washing the wall is20 per m2 |
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Answer» Area of door=2*1=2m^2 Area of wall= 3.6*4.5=16.2m^2 the area to be painted= area of wall-area of door=16.2-2=14.2m^2 ans. |
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| 70688. |
dxJOVsin x cos' x |
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| 70689. |
3. A round table cover has six equal designs as shownin Fig. 12.14. If the radius of the cover is 28 cm, findthe cost of making the designs at the rate of0.35 per cm2. (Use /3 1.7) |
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| 70690. |
\begin{array}{c}{\text { Integrate the following!- }} \\ {\int \frac{2 \sin x+3 \cos x}{3 \sin x+4 \cos x} d x}\end{array} |
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| 70691. |
ind the area of a ring whose outer and inner radi are respectively23 cm and 12 cm. |
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Answer» thanks |
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| 70692. |
Bue lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively.Find the length of each of its sides.In thed tho measure nf 4CAD |
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| 70693. |
Class 6The teacher wrote the expression given below for 4 students to calculate theage of the given elephant. x 4-15INDIAN TALENTIf x represents the number of students,what is the age of given elephant?a. 42 yearsb. 60 yearse49 yearsd. 36 years |
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Answer» x= 416*4-15= 64-1549yearsI hope you will be able to understandplease like the solution 👍 ✔️ |
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| 70694. |
icd Is 8000 cm5: The internal measures of a cuboidal room are 12mx8mx4m. Find thenst of whitewashing all four walls of a room, if the costof white washing ist S penWhat will be the cost of white washing if the celing of the room is also whitewashet |
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Answer» 2(l+b)h = LSA2(12+8)4 =2(20)4 = 40*4 = 160m²cost of whitewashing 4 walls =160*8 = Rs 1280area of 5 walls = LSA+ l*b = 160 + (12*8) = 160 + 96 = 256m²cost of whitewashing vd ceiling = Rs 1280 +(96*8) = Rs 1280 + 768 = Rs 2048 |
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| 70695. |
diameter of a wheel is 1. 26m. What is the distance covered inrevolution? |
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| 70696. |
The floor of a room measures 12 m by 10 m. A carpet is placed onleaving a space of 2 m round the carpet.(a) What is the area of the carpet?(b) What is the cost of the carpet at sh 50 per square metre? |
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Answer» Length of carpet = (12 - 4) = 8 mWidth of carpet = (10 - 4) = 6 m (a) Area of carpet= length * width= 8*6 = 48 m^2 (b) Cost of carpet = 48*50 = sh 2400 |
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| 70697. |
Nandini's house is jo km from her school. She walked some distance antook a bus for km to reach the school. How far did she wal |
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| 70698. |
no 155. If Cos 13° + sin 130– tan A, then A =cos 13º - sin 130 |
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| 70699. |
OSNandini's house is km from her school. She walked some distance and thentook a bus for km to reach the school. How far did she wal?7.10 |
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| 70700. |
The honzontal distance between two poles is 15 m. The angle of depression of the topof fist pole as seen from the top of second pole is 30'. If the height of second pole is 24m. find the height of the first pole. (use 3 = 1.73) CBSE 2013- 3M |
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