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.
| 71601. |
equal sides is 13 cm. Find the length of ule dltituun C,6 em and AC8 cm6. AABC is right angled at A. AD L BC, ABa. Find theAABC. Also find the length of AD.4cm, .8of |
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Answer» Sol:Given that triangle ABC right angled at A.Base = AB = 5cm, Height = AC = 12 cmTherefore, Area of the triangle = Base x Height.Area = AB x AC = 5 cm x 12 cm⇒ Area = 60 cm2.Now, consider BC = Base, Height = AD.Area = Base x Height.⇒ 60 cm2= 13cm x ADAD = 60 / 13⇒ AD = 4.615 cm |
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| 71602. |
ts pornleter 1s 340cm Find its area.An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Findthe area of the triangle.6 |
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| 71603. |
1. Vicm 22 cm 3 . 10emIn the given is. AB, AC, PQ are the tangents so thecircle and AB = som, then perimeter of AAP is |
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Answer» 10cm is the perimeter of triangle apq pls mark as best |
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| 71604. |
39. The 19th term of an AP is equal to 3 times its 6th term. If its 9th term isICBSE 2013)19, find the AP |
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| 71605. |
4 times ifts loul turnThe 19th term of an AP is equal to 3 times its 6th term. If its 9th term is19, find the AP.[CBSE 2013] |
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| 71606. |
A circle of radius 2cm is cut out from a square piece of an aluminium s6 em. What is the area of the left over aluminium sheet? (Take Tt 3.14)sheet ofside11. |
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| 71607. |
-6. The diagonals of a rhombus are 16 cm and 12 em. Find the length of each side of therhombus. |
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| 71608. |
10. The lengths of the diagonals of a rhombus are 16 cm and 12 em respectively.pFind the length of each of its sides. |
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| 71609. |
EXERCISE 9.29 22() 10 15-8 (2)(19 57(vi)0 |
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Answer» 27+44/30 kaise |
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| 71610. |
(i) a triangle with slues tll,(ii) an equilateral triangle with side 10.5 cm(ii) an isosceles triangle with equal sides 6.5 cm and the third side 3.8 cm.10.a rectangular glass 2 m by 3.5 m, a square of maximum size has been cut. Whatromwill be the shape and size of the leftover glass?The edges of both the pieces are smoothened. What will be the cost of smoothening itsedges at the rate of 25 per metre?HOTS3 m80 m |
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Answer» Sqaure of maximum size will be of side=2mPerimeter of square=4*side=4*2=8mCost =25*8=200 RsLeftover glass is in rectangle shape.Perimeter of leftover glass=2(1.5+3.5)=2(5)=10mCost =10*25=250Rs answer rectangle 2m by 1.5m;₹375 |
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| 71611. |
find a and d.)8, In an AP 6th term is half of the 4th termand the 3rd term is 15. How many termsare needed to give a sum of 66? |
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| 71612. |
Which term of the Arithmetic Prgression -1, -12, -11, wl w-8271s-100 any term of the A.P.7 Give resson for your snewer |
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Answer» as an is a rational number - 100 cannot be the term of the given AP. |
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| 71613. |
19. An aquarium is in the form of a cuboidwhose external measures are 80 cm x 30cm x 40 cm.The base,side faces and backface are to be covered with a colouredpaper.Find the area of the paper needed.(A) 2000 cm2 (B) 8000 cm2(C) 3000 cm2 (D) 1000 cm2cmCnm27 |
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Answer» we calculate the area total the acquarium:Atot=2(ab+ah+bh)=2(80×30 +80×40 + 30×40); =2×(2400+3200+1200); =2×6800=136000 cm²we calculate the area of front face:Af=a×h=80×40=3200 cm²we calculathe the area of the top:At=a×b=80×30=2400 cm²we calculate the area of paper needed:A=Atot-(Af+At)=136000-(3200+2400)=136000-5600=8000 cm² therefore answer is (B) 8000 cm² |
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| 71614. |
Radha made a picture of an acroplane with coloured paper as shown in Fiethe total area of the paper used.idSem6cmIV6.5emIliemem JII 1cm2cm |
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Answer» For finding the area of the paper used determine the area of each part separately and then find the sum of the areas to get the area of used paper. For region I (Triangle) Length of the sides of the triangle section I = a=5cm, b=1cm and c=5cm Semi Perimeter of the triangle, s =( a+b+c)/2s=(5 + 5 + 1)/2= 11/2cm Semi perimeter = 11/2 cm = 5.5cm Using heron’s formula,Area of section I = √s (s-a) (s-b) (s-c) = √5.5(5.5 – 5) (5.5 – 5) (5.5 – 1) cm2 = √5.5 × 0.5 × 0.5 × 4.5 cm2 = √5.5 × 0.5 × 0.5 × 4.5 cm2 = 0.75√11 cm²= 0.75 ×3.32 cm²= 2.49 cm² (approx) Section II( rectangle) Length of the sides of the rectangle of section II = 6.5cm and 1cm Area of section II = l ×b= 6.5 × 1= 6.5cm² Section III is an isosceles trapezium Figure is in the attachment: In ∆ AMDAD = 1cm (given)AM + NB = AB – MN = 1cmTherefore, AM = 0.5cmNow,AD² =AM² +MD²MD²= 1² – 0.5²MD²= 1- 0.25= 0.75MD = √0.75= √75/100=√3/4cm Now, area of trapezium = ½(sum of parallel sides)×height =1/2×(AB+DC)×MD =1/2×(2+1)×√3/4 = ½(3)×√(3/4)= ½×3×√3×2=(3/4)√3 = (3/4)×1.73= 1.30cm²(approx)[√3=1.73....] Hence, area of trapezium = 1.30cm² Section IV and V are 2 congruent right angled triangles with base 6cm and height 1.5cm Area of region IV and V = 2 × 1/2 × 6 × 1.5cm² = 9cm² Total area of the paper used = (2.49+ 6.5 + 1.30 + 9) = 19.3 cm² (approx).__________________ |
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| 71615. |
वि६-9 (फ़ोहे... ५.1८ 22 22], 25 काम्वंड 4 पर2 पाए न...व वा Blie |2 लिLl ) T1+57 —sp () |
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| 71616. |
15 PQ is a chord of a circle of length 16 em and radius of the circle is 10 cm. Thetangents at P and Q intersect at a point T. Find the length of TP |
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Answer» Like if you find it useful |
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| 71617. |
10. If 12+22 +.+92-285, then the value of(011)2 +(0-22)2 +. (0.99)2 is(1) 3.4485(3) 0-24485(2) 2.4485(4) 0 34485 |
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| 71618. |
a6 ” - e eपा. चदि (4 - 3») : (25 + हा) «12:19 हो, तो »:+ बराबर हैंi = 23 91:27 G w2:1 - |
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Answer» We know that ,******************************************If a : b = c : d then a, b , c ,d are in proportion. a × d = b × d or Product of extrems = product of means********************************************** Now , ( 4x² - 3y²) : ( 2x² + 5y² ) = 12 : 19 ( 4x² - 3y² ) 19 = ( 2x² + 5y² )12 76x² - 57y² = 24x² + 60y² 76x² - 24x² = 60y² +57y² 52x² = 117y² x² / y² = 117 / 52 ( x/ y )² = ( 13 × 9 ) / ( 13 × 4 ) = 9 / 4 ( x / y )² = ( 3 / 2 )² Therefore , x / y = 3 / 2 x : y = 3 : 2 |
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| 71619. |
A training 50 metre crosses a railway bridge in 26 seconds at a speed of 90 km per hour.what is the length of the bridge? |
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Answer» = Let length of bridge be x.= Distance traveled by train = 50 + x = Speed = Distance / time = Speed = 90 km/h = 90 * 5 / 18 = 25 m/s = 25 = (50 + x) / 26 = 650 = 50 + x = x = 600 m. |
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| 71620. |
7. Two equal forces have the square of their resultantequal to three times their product. Find the angle(Ans. 60°)between them. |
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Answer» Given two forcesPandQ, such that |P | =P,| Q | =Q, and P = Q, acting at a point, such that square of magnitude R of resultantRofPandQis 3 P² = 3 Q². We are required to find the angle betweenPandQ. Let the angle betweenPandQ is ∅.Then by parallelogram law of vectors we have for the resultant,that, R² = P² + Q² + 2 P Q Cos ∅ = P² + P² + 2 P P Cos ∅= 2 P² + 2 P² Cos ∅. ……..(1) We are given that R² = 3 P². Substituting for R²in equation 1, we get, 3 P² = 2 P² + 2 P² Cos ∅, or Cos ∅ = ½ or ∅ = 60° . The angle between the two forces is 60° . |
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| 71621. |
Theorem: If the acute Aangles of a right angled60°triangle have measures 30the side opposite to 60° anglehypotenuse.and 60°, then the length ofB30°3is |
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| 71622. |
A shoct of paper measures 30 em by 20 cm. A strip 4 cm wide is cut from it all around. Find the areaof the remaining sheet and also the area of the strip cut out.each other through the centre of the field |
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Answer» The area of an object is the amount of surface that the object occupies. Area formula== length width = l × w Area of the sheet =l × w =20×30 =600cm² Area of remaining sheet = (20-2 (4))×(30-2(4)) =12×22 =264 cm² |
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| 71623. |
3in the adjoining figure, PQ 16 cm and 00Find the length of OM and the ar AOPO)10 cm |
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Answer» OM=6cm and at(OPQ)=48cm if pq is 16 thenom is bisector of seg pq so, pm=qm2pm=pqpm=8by p.g.t(16)square+(om)square=(10)square256+om=100(om)square=100-256 156 under root 39*4 2 root 39 OM = square root(100 - 64) = 6 cmAr(OPQ) = (1/2)(16)(6) = 48 sq.cm height of OM=4 cm and area is=32cmsq. |
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| 71624. |
6952252. Find the area of the following figure :(a)CO2n.Z.2234220 cm i22420X 2297722.12 |
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| 71625. |
In the given figure, a circle of diameter 21 cm is given. Inside this circle,wo circles with diameters and of the diameter of the big circle havedrawn, as shown in the given figure. Find the area of the shaded15.2 133region22, 21 21(22Hint. Required area-e22 x 21 ×an)-(,7x7)+(,H11-m2(22 7 7cme |
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Answer» thanks |
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| 71626. |
In the question there are circles.Certain numbers are giverninside/outside the circles accordingto a particular rule. In the questionone of the circle has a (?) markinside it. Choose the correct answerto fill in the space marked (?) fromthe given alternatives.56272791 )81 336 91)369 |
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| 71627. |
EXERCISE 5.11. Find the complement of each of the following angles:63DAL RESEARCH AND TRAINING |
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Answer» Complement angles have sum 90° i) Complement is 90° - 20° = 70° ii) Complement is 90° - 63° = 27° |
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| 71628. |
ercise 13.31. Runs scored by 10 batsmen in a one day cricket match are givenFind the average runs scored23, 54, 08, 94, 60, 18, 29, 44, 05, 86 |
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Answer» average runs will be total runs/10=421/10=42.1 |
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| 71629. |
Houw many bricks will be requtred for a wall which ts 8 m long, 6 m high a22.5 em thick if each brick measures 25 em x 11:25 em x 6 em? |
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Answer» thanks |
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| 71630. |
cos ece) A metal parallelepiped of measures 16 om em 10 cm was melted fo make coinHow many coins weremade if the thickness & diameter of each con was 2 mm & 2 em respectively |
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Answer» Volume of metal parallel piped Vp = length * breadth * height = 16*11*10 = 1760 cm^3 Given, coin thickness h = 2 mm =.2 cmcoin diameter d = 2 cm Let number of coins made = n Then, volume of one coin Vc = pi*r*r*h = 22/7*1*1*.2 = 4.4/7 Now,n*4.4/7 = 1760n = 1760*7/4.4 = 1600*7/4 = 400*8 = 2800 Therefore number of coins made = 2800 |
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| 71631. |
measures 30 em. P2n. Find the area oh the shaded regioni in the igte givem below42 cm |
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| 71632. |
CHAPTER 16REASONING AND APTITUDEFind the missing character from among the given alternatives22 2127 15(B) P(C) Q(D) S(E) of these |
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Answer» F is 6th alphabet and P is 16th alphabet so 16+6=22G is 7th alphabet and N is 14th alphabet so 14+7=21E is 5th alphabet and J is 10th alphabet so 10+5=15now K is 11th alphabet so 27-11=16th alphabet that is Pso answer is P thank |
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| 71633. |
n athlete training forOlympics swims each lapof a four lap race in 54.75,54.56, 54.32 and54.54 seconds. What isthe total time she takes toswim the four laps? |
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Answer» Total time = sum of the time of each lap = 54.75+54.56+54.32+54.54 = 218.17 sec |
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| 71634. |
QUANTHIATIVE APTITUDE & DATA INTERPRETATIONpercent of7.A batisman scored 110 runs which included 3 boundaries and 8 sixes. Whatdid he make by running between the wickets?(a) 45%(c) 45-90(b) 54 %(d)55% |
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Answer» Runs scored by running = 110 - 3*4 - 8*6= 110 - 12 - 48= 50. Percentage of runs scored by running = 50/110 * 100= 45.45 %Option c is correct. Option "c" is answer |
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| 71635. |
1. If the angle between two radii of a circle is 130°, thenfind the angle between the tangents at the ends ofthe radii. |
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| 71636. |
Diameters of two ends of a bucket 54cm high are 28cm and 14cm. Determine itscapacity and curved surface area.. |
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| 71637. |
A string measures 220 em. Its two ends are joined to form a circdoes the string enclose?le. What area |
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Answer» Circumference = 220 C= 2πr220= 2×22/7×r220×7/44= r RV= 35cmArea = πr² = 22/7 × 35² = 22 × 5 × 35 = 3850 cm² |
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| 71638. |
AptitudeQ28PALAM is given code. number 43, whatwill SANTACRUZ be numbered as?7585ОООО120123AptitudeQ30425Q6*299 10QQ13Q15216Q17Q18219220Q21022Q23Q24Q25Q26|Q29Q30Q31Q32Q35236 |
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Answer» 123 is the answer of the following 123 is the correct answer |
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| 71639. |
Quantitative Aptitude315. In a library, 20% books are in French, 50% of the rest are in Germanand the remaining 9,000 are in various other languages. What is thetotal number of books in German? |
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Answer» please like my answer if you find it useful |
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| 71640. |
Finish TestBUtor Test for SUD Life InsuranceSection 2 of 5 Quantitative AptitudeTotaTotalREVISIT LATER VerbsQs in this Section: 10Answered Qs.1Marked 0s:0Question 2/10A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?O3.75 daysO4 daysO5 daysQuantitstReaO6 days |
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Answer» The first line says when A and B both work together.. then they take 6 days and questions is also asking for the same.. when they both work together.. answer should be 6 days only.. |
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| 71641. |
A solid iron rectangular block of dimensions 4.4 m, 26 m and 1 mis cast into a hollow cylindrical pipe of internal radinus 30 cm andthickness 5 cm. Find the length of the pipe.MPLE13 |
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| 71642. |
lid iron rectangular block of dimensions 4.4m, 2.6m, m is cast into a hollow cylindrical pipe of internalrectanand thickness 5cm.Find the length of the pipe.0.35 A solidHOTS |
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| 71643. |
areas ot the tWOIF. 12.3 depicts an archery target marked with its fivescoring regions from the centre outwards as Gold, Red, Blue,Black and White. The diameter of the region representingGold score is 21 cm and each of the other bands is 10.5 cmwide. Find the area of each of the five scoring regions. |
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| 71644. |
3. Write two different vectors having same direction. |
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Answer» Thanku |
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| 71645. |
ALE।।।।Seral as du 250 mm Dut varmt an alm pomर २५-16S हैं 5 =4 ते , le32 1 4465 3rd d:--tic, ॐ hd 2 में us A31)- |
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Answer» 125 250/(30-20) = 250/10 = 25 second ANSWER. |
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| 71646. |
7 “v‘i’v " ?Z की | ]W i e Z %A bA1 कै न | न ही |कि |
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Answer» Thanks |
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| 71647. |
oli et !NSOl | 1 sinf + cos® —1 secH — tan 6 |
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Answer» LHS = (sinθ - cosθ + 1)/(sinθ + cosθ - 1) dividing by cosθ both Numerator and denominator = (sinθ/cosθ - cosθ/cosθ + 1/cosθ)/(sinθ/cosθ + cosθ/cosθ - 1/cosθ)= (tanθ + secθ - 1)/(tanθ - secθ + 1) Multiply (tanθ - secθ) with both Numerator and denominator = (tanθ + secθ - 1)(tanθ - secθ)/(tanθ - secθ + 1)(tanθ - secθ) = {(tan²θ - sec²θ) - (tanθ - secθ)}/(tanθ - secθ + 1)(tanθ - secθ)= (-1 - tanθ + secθ)/(tanθ - secθ + 1)(tanθ - secθ) [ ∵ sec²x - tan²x = 1 ]= -1/(tanθ - secθ) = 1/(secθ - tanθ) = RHS |
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| 71648. |
Quantitative Aptitude Level - I.Mohan's expenditure and saving are in the ratio of4:1. His income increases by 20% if his savingincreases by 12%. By how much % should hisexpenditure increases?(a) 21%(b) 20 %(c) 42%d) 22 |
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Answer» a) 21 % is the correct answer 21% is correct answer a) 21% is the correct answer 21% is the following question answer a) 21% is the correct answer a is the correct answer a) 21% is the right answer of the following |
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| 71649. |
A solid iron rectangular block of dimensions(2.2 m x 1.2 m x 1 m) is cast into a hollow cylindricalpipe of internal radius 35 cm and thickness 5 cm.Find the length of the pipe. |
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Answer» I think you've like answered a similar question but unfortunately not this one🙄 |
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| 71650. |
Fig. 3813. Given Alm, find the value of x in the following Fig. 39.Fig. 39 |
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Answer» Write 13:39 in ratio |
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