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.
| 78751. |
Find the prime factorisation of-a. 24 |
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Answer» 24=2×2×2×3 is the prime factorization |
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| 78752. |
9. A hollow cylindrical tube open at both cnds is made of iron 3 cm thick. If the external diameter be 56 cmand the length of the tube be 182 cm, find the number of cubic em in it. |
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Answer» Given, thickness of iron =3cm external diameter = 56cm Length of tube = 182cmWe know, volume of hollow cylinder = πh(R²−r²)∴ internal diameter = external diameter−2×thickness of iron= 56−2×3 = 56−6 = 50cm => Outer radius(R) = 56÷2 = 28cm inner radius(r) = 50÷2 = 25cm∴ Volume of hollow cylinder = πh(R²−r²) = 3.14×182(28²−25²) = 3.14×82×159 = 90865.32cm³ Answer |
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| 78753. |
14. A and B are two independent events. The probability that both A and B occurs isand the probability that neither of them occurs is. Find the probability of theoccurrence of A. |
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| 78754. |
53.If A and B are two independent events such that4P(A) = 1. and P(A U B) = 5, then P(A B)and P(AUen P(An B)10is equal to : |
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Answer» its not a right answer please like if the answer is correct but don't report as a spam or other |
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| 78755. |
to band B are independent Events113PIA)=0.2 BLB)=x and DOUB) 20.8 then.he independent events withfirsda |
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Answer» P(AUB)= p(a)+p(b)0.8= x+0.2x= 0.6 |
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| 78756. |
If A and B are independent events then show that there complementary events not A and not B are also independent . |
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| 78757. |
-0.12A fair coin and an unbiased die are tossed. Let A be the event head appearthe event '3 on the die'. Check whether A and B are independent events or |
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| 78758. |
value of x and hence Hldangles]imoIf an angle exceeds its complement by 20°, findthe angle.141 in Focus-7 |
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Answer» Complimentary angles when added equal 90 degrees. Let one angle be x. Then, the other angle will be x+20. x+x+20 = 90 2x+20= 90 2x= 90-20 2x=70 x= 70/2x=35 One angle is 35 and the other 55 degrees |
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| 78759. |
and B are two independent events, P(A) 04 and P(B)-0.5, then find the vanuof he olieMING(ae valuIf A and B are two inEDMINOTE 6 PRO1 DUAL CAMERA(c) P(A .B).(b) P(A.B). |
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Answer» If you like the solution, Please give it a 👍 |
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| 78760. |
K ATİONS OF TRIGONOMETRY4. A 1.2 m tall girl spots a balloon moving205with the wind in a horizontal line at aheight of 88.2 m from the ground. Theangle of elevation of the balloon fromthe eyes of the girl at any instant is60°. After some time, the angle of /60。...elevation reduces to 30° (see Fig. 9.13).30Find the distance travelled by theballoon during the interval.:88.2 mAiiFig. 9.13 |
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Answer» thanks |
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| 78761. |
9.What is the measure of each acute angles of an isosceles right angled triangle?imo nuumhar if a dice is tossed? |
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Answer» In isosceles right angle triangle, sum of all angles is 180° and one angle is 90°so sum of other two angles is 90° they must be equal( isosceles triangle)therefore each acute angle measure 90/2=45° |
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| 78762. |
4.A 1.2 m tall giri spots a balloon movingwith the wind in a borizontal line at aheight of 88.2 m from the ground. Theangle of elevation of the balloon frormthe eyes of the girl at any instant is60°. After some time, the angle ofelevation reduces to 30° (see Fig 9,13).Find the distance travelled by theballoon during the interval. |
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| 78763. |
xample 4 : Mayank made a bird-bath for his gardenn the shape of a cylinder with a hemisphericalepression at one end (see Fig. 15.9). The height ofhe cylinder is 1.45 m and its radius is 30 cm. Find the30, cm1.45 moal surface area of the bird-bath. (Take rSolution : Let h be height of the cylinder, and r theommon radius of the cylinder and hemisphere. Then,Fig. 15.9the total surface area of the bird-bathCSA of cylinder + CSA of hemisphere- 2x30(145 +30) em33000 em 3.3 m |
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| 78764. |
Note: To identify perfect squares, you may use prime factorisation technique.TRY THESEFind the unknown length x in the following figures (Fig 6.29)8 cm |
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Answer» (i)-x=5.(ii)-x=10.(iii)-x=17. This can be done by pythageorous theoram ok |
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| 78765. |
A hoiow metai cylinder having external radius 3 em and height 10 cm has a totasurface area of 3331 cm. Find the thickness of the hollow metallic cylinder5. |
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Answer» Let the outer radius be Rand inner radius be r total surface area = inner surface area + outer surface area + 2 ( area of thickness ) . = 2πrh + 2πRh + 2π(R² -r²)⇒338π = 20πr + 160π + 128π - 2πr²⇒2πr² - 20πr + 50π =0⇒r² -10r + 25 =0⇒r²-5r-5r+25=0⇒r(r-5)-5(r-5)=0⇒(r -5)²=0⇒r =5 cm therefore thickness of the metal in cylinder = R- r = 8- 5 = 3 cm. |
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| 78766. |
A rectangular piece of plastic sheet measures I m by 70 cm. Find its cost at the rate of 80 per squar metre |
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| 78767. |
Show that:(i)tah 43° tan 23° tan 42° tan 670-1 |
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| 78768. |
47यदि 13+23+..... + 103 = 3025, तो 23 + 43 +.....+20° का मानक्या होगा?(a) 506)(b) 12100(c) 242(४)(d) 7590 |
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Answer» 12100 is the answer... option (c) 24200 is the correct answer 24200 is the following question answer 24200 is the correct answer of the given question |
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| 78769. |
p^{1-2 x} \times \sqrt{p}=q^{1-2 x} \times \sqrt{q} ; p \neq q |
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Answer» Thanks bro |
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| 78770. |
2. Find the equation of the locus of the point P, if thepoints A (1,2), B (3,4) are at equal distances from P. |
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Answer» Tncs so much |
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| 78771. |
13. (a) Define dependent and independent events. If A and B are independent eventsthen show that there complementary events not A and not B are alsoindependent. |
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Answer» Two events areindependentif the result of the second event is not affected by the result of the first event. IfAAandBBare independent events, theprobabilityof both events occurring is the product of the probabilities of the individual events.Two events aredependentif the result of the first event affects the outcome of the second event so that the probability is changed. In the above example, if the first marble is not replaced, the sample space for the second event changes and so the events are dependent. The probability of both events occurring is the product of the probabilities of the individual events |
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| 78772. |
If A and B are two independent events, prove that A' and B are also independent. |
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Answer» Like if you find it useful |
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| 78773. |
"8८ न धटन ध्ाट् कई न प०+ पक: [१५% 138 (] |
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Answer» 4m + 6n = 542m + 3n = 272m = 27 - 3nm = (27 - 3n)/2.....(1) 3m + 2n = 28.........(2) Put value of n from eq(1) in eq(2), we get3*(27 - 3n)/2 + 2n = 2881 - 9n + 4n = 56-5n = -81 + 565n = 25n = 25/5 = 5 From eq(1)m = (27 - 3*5)/2 = (27-15)/2 = 12/2 = 6 |
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| 78774. |
568+ 134= ______ |
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| 78775. |
% e Gw\b VWVकि बैजदु हछ रथपागल 3 33 वi )Mty lacdn+ 1T +¥ayenbe fo 4957 ४ e e |
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| 78776. |
The H.C.F. of 276 and 1242 is 138. Find their L.C.M. |
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Answer» LCM = (1242×138)÷HCF |
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| 78777. |
5 cos' 60 +4 see 30" -an 4sin' 30cos' 30 |
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Answer» .( 5 cos²60°+4 sec²30°-tan²45°) ÷ (sin²30° +cos²30°) = {5*(1/2)^2+ 4 (√3/2)^2-(1)^2} ÷{ (1/2)^2+(√3/2)^2} ={ 5/4+4*(3/4)-1}÷ (1/4+3/4) = 5/4-2 ÷ 1 = -3/2 |
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| 78778. |
If the cost of 8 note-books is 128, find the cost of 19 such note-books. |
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Answer» price of 19 note book is 304. 128*8/19=304 is the quick answer for your question 16×19 =304 is correct answer the cost of 19 notebook are Rs 304 Cost of 19 notebooks are rupees 304 cost of 8 note book = 128cost of 1 note book = 128/8=16cost of 19 note book = 19*16=304304 is the answer cost of 19 notebook are Rs. 304 |
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| 78779. |
proof that 4cos60 +4tan sguar 45-sin squar 30=4 (3/4) |
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Answer» 4 cos 60 + 4 tan²45 - sin²30 = 4*(1/2) + 4(1) - (1/2)² = 2 + 4 - 1/4 = 6-1/4 = 24-1/4 = 23/4 |
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| 78780. |
2) Express the following in the form of atib,a, beRi-1. State the value of a and b.i(4+31)i) (1+21)(-2+1) ii) (1-1)(2+1)iii) (3-1) (1+21)3+21 3-21IV) 2-5i* 2+512 + 1-34 + √-3ví) (2+31)(2-3/) |
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Answer» 3 is correct answers and express the this options is correct option 3 is the right answer option 3 is the right answer option 3 is the right answer option 3 is the right answer 1²+2²=3so 3 is the answer of the first |
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| 78781. |
6. Using the law of exponents, simplify andwrite the answer in exponential formA. 43 x 23 |
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| 78782. |
The area of the triangle formed by the points P (0. 1), Q (0,5) & R (3,4) is1) 16 sq. units21.2) 8 sq. units3) 4 sq. units4) 6 s |
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| 78783. |
than the static friction.r children were asked to arrange forces due to rolling, static and slidingons in a decreasing order. Their arrangements are given belowse the correct arrangement.rolling. static. slidingrolling. sliding. staticstatic. sliding, rollingsliding. static, rolling |
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| 78784. |
opocivety.rind tne size of therind the value of x in the given figures.7695°138105°80 |
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| 78785. |
The total volume of two identical cubical containers is 3456 cm2. Find the edge ofthe container. |
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Answer» volume of two containers = 2(a^3) = 3456 cm^3a^3= 1728a=cube root of 1728a =12 cm |
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| 78786. |
The IQ levels of studentsin a class are given below. Find the modal value of IQ level134. 143, 144, 138, 145, 153, 138, 138, 146, 140, 135 |
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Answer» Modal value is the most repeated number. 146 - 2 134 - 1 143 - 1 144 - 1 138 - 3 145 - 1 153 - 1 140 - 1 135 - 1 So the modal value is 138 so the correct answer is 138 |
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138gereg |
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Answer» This is a graphical representation of data, pie chart |
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| 78788. |
calue138 |
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Answer» x+x =138 {vertically opposite angles are equal in measure} =>2x =138=>x =69 degrees please explain this question |
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| 78789. |
44.Arrange in descending order,0.75, 30%,0.7530%,A.,30%,4, 0.75,C.,075, 30%D.,30%,o) 5',0.753 y |
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Answer» 0.75= 75 percentage1/3= 33 percentage30 percentage then4/5x100= 20 percentagethanksplease like the solution 👍 ✔️ |
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| 78790. |
n 8 or n 3But n 5 for (n-5)Hence, n 8Note Question is moc19. Solve for n, if:(15-1!5!(12-11)! = 5!S AND COMBINATIONS |
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| 78791. |
1 - \frac { 1 } { 3 } + \frac { 1 } { 3 ^ { 2 } } - \frac { 1 } { 3 ^ { 3 } } + \frac { 1 } { 3 ^ { 4 } } + \ldots \infty |
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| 78792. |
2 132 33 1T of 21 x 15. 33144 |
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Answer» 3 2/3 - 3/11 of 2 3/4 ÷ 1 1/4 × 1 2/3 + 1/3 = 11/3 - 3/11 of 11/4 ÷ 5/4 × 5/3 + 1/3 = 11/3 - 3/4 ÷ 25/12 + 1/3 = 11/3 - 3/4 × 12/25 + 1/3 = 11/3 - 9/25 + 1/3 = 12/3 - 9/25 = 4 - 9/25 = (100-9)/25 = 91/25 = 3 16/25 If you find this answer helpful then like it. |
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| 78793. |
( 5 p ^ 2 - 25 p %2B 20 ) \div ( p - 1 ) |
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| 78794. |
21ンA cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. Thisbucket is emptied on the ground and a conical heap of sand is formed. If the height of theconical heap is 24 cm, find the radius and slant height of the heap.2. A solid metallic sphere of diameter 16 cm ir |
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Answer» full ans plzz |
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| 78795. |
।8.The acid and water in two vessels A and B are in the4:3 and 2:3. In what ratio should the liquids in boththe vessels be mixed to obtain a new mixture in vesselC containing half acid and half water ?दो बर्तनों A और B में अम्ल और पानी का अनुपात 4:3 और 2:3 है।दोनों बर्तनों के द्रव को किस अनुपात में मिलाया जाए ताकि बर्तन C में बनेनए मिश्रण में आधा अम्ल और आधा पानी हो?(a) 7:5 7657 ) 7:3 (d) 5:3 |
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Answer» Ratios are 4:3 (4+3=7) and 2:3 (2+3=5). So LCM of 7, 5 is 35. Now, for 35 litres mixture . Let AC = Acid, W=water Vessel A, AC:W = 4:3 (4+3=7) means in 35 litres mixture. Acid is 4*35/7=20 litres and water is 3×35/7=15 litres. Vessel B, AC:W = 2:3(2+3=5) means in 35 litres mixture. Acid is 2×35/5 = 14 litres and water is 3×35/5 = 21 litres For Vessel C,AC:W=1:1(required) Let ratio of Vessel A=x and Vessel B=y. In Vessel C , both acid and water will be in equal quantity. So, Net quantity of acid = Net quantity of water 20x+14y=15x+21y 5x=7y x/y=7/5 So, x:y=7 :5 Vessel A : Vessel B = 7:5 (a) is correct option Right answer is a. 7:5. is carcat answer 7:5 |
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| 78796. |
olve the following.A vessel can hold 15 L 2 dL 5 cL of water. Another vessel can hold 8 L 50 mlof water. How much water in all can the two vessels hold? |
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Answer» If you like the solution, Please give it a 👍 one rational number between 6 and 8 |
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| 78797. |
कि 509 - है 5007‘Yuey= ——— = ___: X sसन जननी. |
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| 78798. |
(iv)2. Classify the angles whose magnitudes are given below:(ii) 91°(vi) 360(x) 80°(1) 30(v) 181(ix) (38.3)(iii) 179(vii) 128(xi) 0° |
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| 78799. |
27. In Figure 17, determine the value of x138Fig. 17 |
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| 78800. |
A circle has its centre at the origin and a pointP (5, 0) lies on it. The point Q (6, 8) lies outsidethe circle. State whether true or false. Justify youranswer. |
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