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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.
| 73251. |
1.Sum of the areas of two squares is 468 m2 and difference between theirperimeters is 24m. Then find the sides of the squares. |
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Answer» Let the sides of squares be a m & b m long such that a > b. By 1st condition, a^2 + b^2 = 468 ... (1) By 2nd condition,4a-4b = 24a - b = 6.a = b + 6. Putting this value of a in equation (1),(b+6)^2 + b^2 = 468b^2 + 12b + 36 + b^2 = 468b^2 + 6b + 18 = 234b^2 + 6b - 216 = 0.b^2 + 18b - 12b - 216 = 0.b (b+18) - 12 (b+18) = 0(b+18)(b-12) = 0.b = -18 or b = 12.But b = -18 is unacceptable so b = 12.a = 18.Lengths of sides of given squares are 12 m & 18 |
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| 73252. |
afeach of the following from thewing from the figure given below.10. Give an example of a8 m4 m60°BN 4m 60°4 m90°4 m90°a. An equilateral triangle 14F. An acute-angled triangleb. An isosceles triangled. A right-angled triangleגואט חגוט ווס גט כבטוב אטו סביבם' |
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Answer» equilateral triangle =ABF(all angles 60)isosceles =AFE(two sides equal)right angled=BCD 90degree |
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| 73253. |
Can an obtuse angled triangle be an isosceles triangle? |
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Answer» no never because in obute angled triangle one angle is always greater than 90 degree |
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| 73254. |
The number of zeroes at the end of (127)l is(A) 31(C) o(B) 30(D) 10 |
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| 73255. |
Estimate by using compatible numbers. Show how you estimated.11. 12789. 10610. 3× 5212. 33 × 8413. 450 × 2114, 729 × 42 |
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Answer» When multiplying using compatible numbers if yu increase one number then other number should be decreased.9. 106 × 52 ~ 110 × 50 ~ 550010. 33 × 6 ~ 30 × 10 ~ 30011. 127 × 8 ~ 120 × 10 ~ 1200 |
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| 73256. |
is!The area of the quadrilateral ABCD in the figure given below230 cm?. If diagonals BD = 20 cm, CQ = 8 cm, find AP.DR |
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Answer» THE AP IS HALF OF DIAGONAL in given figure thength of AP = 15 cm |
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| 73257. |
ORFind the area of a thombas if its vertices are A(G.0), B(4,5), CE- 1.4) and Dr-2.-1) |
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| 73258. |
1. Solve the following equations and check your answers.1, 5x-2 = 18·4" 2 |
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Answer» this is not not right question Solution-1-) 5x-2=18 5x=18+2=20 x=20/5 =4 |
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| 73259. |
3. 233 12.37 89 |PQR =100° PQR7% O $eoBRD. B30 08 womhriw, [OPR हं०८०6०७०७००. |
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| 73260. |
1)27-8125n 61210.24 18 -5x-10y |
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Answer» Please specify the question, Please specify the question instead of posting whole exercise. All exercise Please solve mam Please post a single question at a time Can you please post one question at a time and a better picture? |
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| 73261. |
上. The hypotenuse of a right-angled triangle is 1, n less thantwice the shortest side. If the third side is 1 m more than theshortest side, find the sides of the triangle. |
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| 73262. |
The denominator of a rational number is 7 more than the numerator. If 2 isnumerator and 9 is added to the denominator the number becomes |
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Answer» Let the numerator be x. So, denominator =x+7 If 2 is added to numerator, it becomes x+2. If 9 is added to denominator, it becomes (x+7)+9 =x+16. So the fraction becomes Numerator/Denominator=1/3 3×Numerator= Denominator 3(x+2) = (x+16) 3x+6=x+16 2x=10 x=5 So the no. is 5/12. |
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| 73263. |
the denominator of a rational number is greater than its numerator by 3 if numerator is increased by 14 and denominator is decreased by 3 the new number becomes 11 by4 what is the original number |
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Answer» Wrong answer Let the numerator of rational number be x. Then denominator of rational number = x + 3 As per given condition (x + 14)/(x + 3 - 3) = 11/4 (x + 14)/x = 11/4 4x + 56 = 11x 11x - 4x = 56 7x = 56 x = 56/7 = 8 Therefore, Original rational number isx/(x + 3) = 8/11 |
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| 73264. |
n the side of a right angled triangle. Show that the area of triQ24. Equilateral triangles are drawn on the sidetriangle on the hypotenuse is equal to the sumsum ofc areas of triangles on the other two sides. |
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Answer» Given:ABCis a right ∆. Angle ABC= 90°.AC is hypotenuse. Equilateral triangles PAB, QBC,RCA are drawn on the sides AB, BC, CA. To Prove:ar(∆PAB)+ar(∆QBC)= ar(∆RCA) Proof & figure is in the attachment. |
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| 73265. |
n a right-angled triangle, A is acute a512'tan A=evaluate:cos A +sin Acos A-sin A(i) sin A(ii) cos A (ii)1 |
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Answer» hit like if you find it useful |
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| 73266. |
I. Convert the followingtemperature to celslus scalea 300 Kb. 573 K |
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| 73267. |
a triangle are 25 m, 39 m and 56 m. Find : () area of the triangle (i) the length di theThe sides ofperpendicular from the opposite vertex to side 25 cm. |
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| 73268. |
0. A hall measures 16 m by 12 m. How many square tiles ofside 25 cm will be required to pave its floor?98 |
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| 73269. |
An equilateral triangle of area 4 root 3 cube cm stores some base with a square. What is the area of square? Find the ratio of area of triangle to that area of square. |
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| 73270. |
d thearea o the Totlowing figur1.4mint: Area -area of a rectangle + area |
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| 73271. |
Find the cost of flooring a room 6.5 m by 5 m with square tiles of side 25 cmthe rate of9.40 per tile. |
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Answer» Length and breadth = 6.5 and 5 in marea=6.5 ×5 m^2now area of square tiles = 25 × 25 /100×100by changing into m no. of tiles = area of floor/ area of tiles= 6.5 ×5×100×100/25 ×25= 520 tilescost = 520 × 9.40 rupee= 4888 rupee |
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| 73272. |
Solve each of the followinga. 5x 28 181. |
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Answer» Ans :- 5x + 28 = 18 5x = 18 - 28 x = -10/5 x = -2 |
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| 73273. |
chord of a circle is equal to the radius of thele. Find the angle subtended by the chord atoint on the minor arc and also at a point on theor arcic. 10.37, 2 POR = 1000, where P. Q and R arets on a circle with centre O. Find 2 OPR.100Fig, 10.37 |
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Answer» 1)❇Since,the chord and two radius have made a triangle.. ❇Also,all the three sides of the triangleare equal... ❇Thus,its an equilateral triangle of eachangle =60°.. ❇Thus angle of minor arc is 60°.. ❇And angle of major arc is equal to reflexangle of minor arc=360-60=300°.. hit like if you find it useful 2)hit like if you find it useful |
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| 73274. |
a rational number between 3 and 4.3. Find4. Find a rational number between -5 and2 |
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| 73275. |
of a rational number is 4 lessthan the denominator. If 1 is added to numeratorand denominator both, the rational numberbecomes Find the rational number2 |
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Answer» Let denominator be xNumerator = x-4When 1 is added:-Denominator = x+1Numerator= x-3x-3/x+1=1/2x+1=2(x-3)x+1=2x-6x-2x=-6-1-x=-7x=7Original Numerator = x-4= 7-4= 3Original Denominator = x = 7Original Fraction = 3/7 |
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| 73276. |
13. Ravi was asked to multiply a rational number byBy mistake he multiplied the rationalnumber by 2. His answer was 3 more than the correct answer. Find the rationalnumber |
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| 73277. |
EXERCISE 6.5helow. Determine which of them are right trianglesw1. Sides of triangles are givenin case of a right triangle, write the length of its hypotenuse.0 7em, 24 cm, 25 cm(i) 3 cm, 8 cm, 6 cm(ii) 50 cm, 80 cm, 100 cm(iv)13 cm, 12 cm, 5 cmnOR ic n triangle right angled at P and M is a |
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| 73278. |
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip wasreduced by 200 km/hr and due to that the time of flight increased by 30 minutes. What is the duration oforiginal flight?(A) 1 hour(B) 1.5 hours(C) 2 hours(D) of the above |
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Answer» The duration of the flight is 1 hour Let the duration of the flight bexhours. Then,600/x-600/x+ (1/2)= 200 600/x-1200/2x+ 1= 200 x(2x+ 1) = 3 2x²+x- 3 = 0 (2x+ 3)(x- 1) = 0 x= 1 hr. option A is the correct answer option'A'is the right answer |
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| 73279. |
The diameter of a spherical ball is 21 cm. How much leather is required to prepare5such balls. |
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Answer» d=21 cm r= d/2= 21/2cm surface area of 1 sphere= 4*22/7*r*r = 4*22/7*21/2*21/2 =22*3*21 =1386cm² now for 5 balls = 5*1386 cm³ =6930 cm² of leather is required |
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| 73280. |
083 mThs area of a trapezium is 210 cm' and its height is 14 om. If one of the parallel sides is double thรกt uthe other, tind the two parallel sidesntu con the twn parallel sides is 15 m. If |
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| 73281. |
Work out the following divisions.(i) (10 x-25) ÷ 5 |
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| 73282. |
The diameter of a spherical ball is 21 cm. How much leather is required to prepare 5 such balls. |
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| 73283. |
Example 2: Hameed has built a cubical water tank with lid for his house, with eachouter edge 1.5 m long. He gets the outer surface of the tank excluding the bas.covered with square tiles of side 25 cm (see Fig. 13.5). Find how much he wouldspend for the tiles, if the cost of the tiles is 360 per dozen. |
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| 73284. |
1. Work out the following divisions(i) (35x + 28)-(5x + 4) |
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| 73285. |
2. Carry out the following divisions.5314(ii)DE(iv)+told |
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Answer» First step: Find the reciprocal of thefraction. Second step: Multiply the number by the reciprocal of thefraction.1) 2/3÷1/4 = 2/3×4/1 = 2×4/3×1 = 8/32) 5/9÷3/2 = 5/9×2/3= 5×2/9×3= 10/273) 3/7÷5/11= 3/7×11/5= 3×11/7×5= 33/354) 11/12÷4/7= 11/12×7/4= 11×7/12×4= 77/48 2) i)2/3÷1/4=2×4/3=8/3, ii)5/9÷3/2=5/9×2/3=10/27; iii)3/7÷5/11=3/7×11/5=33/35; iv)11/12÷4/7=11/12×7/4= 77/48 Simple tip reciprocate second number and multiply it with first number in these kind of questions (2/3) × (4/1) = 8/3 (5/9) * (2/3) = 1027 (3/7) * (11/5) = 33/35 (11/12) * (7/4)=77/48 simply we changes number numerator into denominator and then we change the divide into multiple a. 2/3 ÷ 1/4 2/3 × 4/1 = 8/3 b. 5/9 ÷ 3/2 5/9 * 2/3 = 10/27 c. 3/7 ÷ 5/11 3/7 * 11/5 =33/35 d. 11/12 ÷ 4/7 11/12 * 7/4 = 77/48 |
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| 73286. |
hiven that tan o 1 2 tan?ーProve that cos2d):1+cos20ICthe n |
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Answer» ^ what is this symbol |
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| 73287. |
oden box (including the lid) has external dimensions of 40 cm by 34 cm by 30 cm. If the wood sB1 cm thick, how many cm3 of wood are there in it?du oodan ho v are J0cm hv 8 ŃŃ.n hv 7 cm Thickness of the wood ic ! |
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| 73288. |
Find a rational numberFind a rational number between 2 and 3.icn |
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| 73289. |
A pole stands vertically on the ground. If the angle of elevation of the top of the polepoint 90 m away from the pole has measure 30, find the height of the pole.from alito ic100 m long and it makes an angle of measure 60 with the horizontal. n |
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Answer» Use trigonometric format bro.. |
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| 73290. |
In a flight 6000km, an aircraft was slowed down due to badalt was slowed down due to bad weather. Its averagespeed for the trip was reduced by 400 km/hr and the time of thgis reduced by 400 km/hr and the time of flight increased by30 minutes. Find the duration of flight. |
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Answer» Let the original speed of the aircraft be 'x' km/hrDecreased speed of the aircraft = (x - 400) km/hrTime = Distance/SpeedOriginal duration of the flight = (6000 / x) hrsDuration of the flight with decreased speed = (6000 / x-400) hrsDifference of time = 30 min = 1/2 hrs⇒ (6000 / x-400) - (6000 / x) = 1/2⇒ (6000x - 6000x + 2400000) / x(x - 400) = 1/2⇒ x^2- 400x = 4800000⇒ x^2- 400x - 4800000 = 0⇒ (x - 2400)(x + 2000) = 0⇒ x = 2400 or -2000Positive value of x is 2400.Therefore original speed of the aircraft is 2400 km/hr.Original duration of the aircraft = 6000/2400 = 2.5 hrs. |
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| 73291. |
TRYTHESEthe radius of a cylinder is doubled keeping its lateral surface areane, then what is its height?ot water system (Geyser) consists of a cylindrical pipe of lenmeter 5 em. Find the total radiating surface of hot water system.XERCISE 10.2osed cylindrical tank of height 1.4 m. and radius of thg base isade up of a thick metal sheet. How much metal sheet is required (Euare meters)volume of a cylinder is 308 cm. Its height is 8 cm. Find its late |
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Answer» 1)Given dimensions of closed cylindrical tank areHeight =h=1.4mRadius =r=56cm=56/100 m =0.56mMetal sheet required to make cylindrical tank= total surface area of the cylindrical tank=2×pi×r(r+h)=2×22/7×0.56(0.56+1.4)=2×22×0.08×1.96=6.8992 square meters |
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| 73292. |
1/7 %2B 2/7 %2B 3/7 |
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Answer» 2+1+3=6because denominator are same if denominator are same so we add or subtract the numerator. 6/7 is the Anwer of this question see the lcm will be 7then(2+1+3)/76/7 is the answer firstly take LCM of denominator that is 7 & your answer is 7/7 (2+1+3)/7=6/7is the answer of this question 6/7 hi hoga kyuki denominator same hai (2+1+3)/7 answer 6/7 26/7 answer because denominator is same we take commin the question answer 6/7 iska LCM 7 hoga or iska answer 6/7 hoga 6/7 is answer because detonator is same but numerator is different. therefore 6/7 is answer 2+1+3/7=6/7 answer of this question 2/7+1/7+3/7LCM 7 hai6/7 answer 6/7 is the correct answer 2/7+1/7+3/7=2+1+3/7=6/7 6/7 is the answer of this question Answer would be 6/7.Add numerator and write denominator as denominator is same (2+1+3)/7 answer=6/7 6/7 is the answer of this question 6/7 right answer hoga (2+1+3)/7=6/7 is the correct answer. all dinominater is samethen value of 2/7+1/7+3/7=(2+1+3)/7=6/7. 2+1+3/7=6//7kyuki teeno ke niche dominator equal hai this question's answer is 6/7 6 इसका सही उत्तर होगा ओके 6/7 is the right answer 2+1+3=6become multupil is 6/7 is a right answer 2+1+3/7=6/7 this has to be your answer The answer is 6/7..... 6/7 should be the answer es ka answer hoga jo ki 6 hi hai or kuch nahi ho sakta hai 6/7 is the answer of the question (2+1+3)/7=6/7Is the answer of this question We know that, if denominator is same then, we can get answer by adding or subtracting the numerator. So here, 2+1+3/7 = 6/7 2/7+1/7+3/7=6/7 ans is right 2+1+3----------=6/7 7 because dominator are same so add nominator 2+1+3=6 2+1+3=6 because denominator are same solution is ---- 2/7+1/7+3/7 =6/7 the answer will be 6/7 2+3+1/7=6/7 6/7 ans. hoga kyuki 7,7,7 ka lcm 7 huga 6/7 is the answer for this question 6/7because denominator is same so we be add numerator (according to question 6/7 is the answer(2+1+3)/7=6/7 13/7 or 1.857 answer this question okk got it (2+1+3)/76/7is the answer 2+1+3=6bcoz denominator is same ,(which is 7) and if denominator is same then we will subtract or add the number 2+1+3/7 = 6/7 is the correct answer dear.... 2/7 + 1/7 + 3/7= 6/7 6/7 because their denominator is same 7 6/7 answer of this question 6/7 This question is answer 6/7 beacuse har is same 2 6/7 hi hoga is questions ka answer 6/7 hi hoga right answer hai the correct the answer is 6/7 6/7 write Answer beacuse (2+1+3)/7 =6/7right answer 6/7 because when denominators are same we can add numerator only. 6/7 this is a answer for questions 6/7 is the ans of this Q? 6/7 is the answer of these question firstly take LCM of denominator that is 7 and then solve the ans Our ans is 6/7 The correct answer is 6 6/7 the answer of the question we are know that har same so .we add only ansh 2+1+3=6 so our ans_6/7 denominator is same so directly we can add all the numerators and taking the denominator 7so,(2+1+3)/76/7 (or) 0.857 6/7because denominator are same if denominator are same so we add or subtract the numerator 6/7 is ths correct answer 9+6+10. is the answer of this question (2+1+3)/7=6/7=0.8571428571 6_21 answer. hoga pakka 7 બધાના છેદમા હોવાથી 2+1+3=6 =6/7 sabhi Ka lasa Lena hai Uske bad har me Jo lasa Aaye uska bhag do fir Jo answer aaye usme ansh Ka guna kar do 2/7+1/7+3/7 the lcm of 7 in other number is 7So the answer is 6/7 6/7 is the correct answer |
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| 73293. |
internal base radius of a cylinder is 4 cm. Height of the vessel is 10 cm How much water wouldpherical balls of diameter 3.5 cm are kept in it? t3)ied tll the vessel to brim, if four solid spherical balls of diameter 3,5 em are kept in it? pThe |
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| 73294. |
B. Solve the following:1. Find the area of each of the following triangles :(a)(b)-5 cmm32 cm |
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Answer» area of triangle -1/2×b×h1/2×4×3=6cm^2 |
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| 73295. |
/i (â27) x (-1e) + (â27) % (=X |
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Answer» (-27)*(-16)+(-27)*(-14) = (432)+(378)=810 |
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| 73296. |
Work out the following divisionsa. (8x-32)+ (x-4)8. |
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Answer» (8x-32)÷(x-4)8(x-4)÷(x-4)=8 |
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| 73297. |
⅔x=12 |
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Answer» Given:(2/3)x = 12x = 12*3/2x = 6*3 = 18 Value of x = 18 |
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| 73298. |
0८ *१८*८ दी.््भ0=01 =Yg =&e eबस ;——— ७७... |
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| 73299. |
then the value of is18. If log, (01) --) 10(E) 1000 |
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Answer» very good |
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| 73300. |
1s Assessment:1. Objective Questions (Fill in the blanks) (answer any six)datum adopted for India is the(MSL of Madra, MSL at Karachi ,MSL at Bombay ).The surface of still water is considered to be(level, smooth, horizontal).n ic lnon as the ( permanent BM, arbitrary BM, GTS BM). |
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Answer» The answer could be MSL at Bombay. |
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