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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.
| 75801. |
Suppose you are given a coordinate system. Determinequadrant in which the following points lie:(Ä°) A (4,5) (ii) B (-4,5) (iii) C (4-5). |
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Answer» i) A(4,5) is in first quadrant. ii)B ( -4, -5) is in third quadrant. iii)C (4, -5) is in fourth quadrant |
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| 75802. |
-x %2B 10*x %2B 9 - 27=10*(-x) %2B x |
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Answer» 10x+9-x-27=10(9-x)+x |
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| 75803. |
Which term of the AP’s 13, 19, 25,….. and 69, 68 ,67,….. is same also find that term. [Ans: 9thterm, 61] |
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Answer» 13, 19, 25,,,,,,??a=13, d=6; a4=13+8(6)=13+48=61 |
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| 75804. |
Two or more points areif they lie on the same line. |
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Answer» straight if they lion the same line Two or more points are collinear if they lie on same plane |
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| 75805. |
Ir 9th term of an APis zera prove that the 29th term of the AP is double of tterm of the AP is double of its 19th term. |
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Answer» thank u so much for this answer |
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| 75806. |
find the 9th term from the end ( towards the first term ) of the A.P.5,9,13......185 |
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Answer» Given A. P is 5 , 9 ,13 , .... 185 Here first term = 5 Common difference = a2 - a1 = 9 -5 = 4 The A.p is 5 , 9 , 13 , ......., 181 , 185 We have find out the 9 th term from the end . Now , rearrange the A. P 185 , 181 , ......, 13 , 9 , 5 First term = a = 185 Common difference = d = a2 - a1 = 181 - 185 = - 4 n th term in an A. P = an = a + ( n - 1 ) d a = 185 ; d = -4 ; n = 9 9 th term = a9 = a + ( 9-1 ) d= 185 + 8 × ( - 4 )= 185 - 32= 153Therefore required 9 th term from the end = 153 |
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| 75807. |
, There are two rectangular sheets of the same size. One is rolled on its longer edge to form a cylinder. Theother is rolled on its shorter edge to form a cylinder. If the two cylinders are filled with pop-corn, which wilhold more? |
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Answer» the one on rolled on longer edge becausevolume of cylinder is πr^2hhence volume is directly proportional to height hence more the height more the volume of popcorn |
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| 75808. |
ine llass of a cylinder filled with gas is 30 kg 250 g and the mass of the e14 kg 480 g. How much is the mass of the gas contained in it?remaining piece?In order to make a shirt, a length of 2 m 75 cm of cloth is needed. How much lengtm long, a piece of length 2 m 85 cm is cut off. What is the lengthcloth will be required for 16 such shirts?For making 8 trousers of the same size, 14 m 80 cm of cloth is needed. How muchbe required for each such trouser?The mass of a brick is 2 kg 750 g What is the total mass of 14 such bricks? |
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Answer» ans is 1 m 8 cm cloth is required A metal wire is 3km 456m long.How many pieces can be cut out it, if each piece is 16 m long . |
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| 75809. |
(3) Rs.17395.75(4)Rs.17345.75120. The average weight of 19 students was25 kg. By the admission of new studentthe average weight is reduced to 24.8 kg.The weight of the new student is:(1) 24.8 kg(3) 20.6 kg (4) 21 kg123.(2) 20.8 kgACE FOR ROUGH WORK124 |
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Answer» Initial total weight = 19 × 25 = 475 kg After inclusion of new person total weight = 24.8×20 = 496 kg Weight of new person = 496 - 475 = 21 kg If you find it helpful then please like. |
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| 75810. |
In the figure, seg BDside AC,seg DE丄side BC, thenshow that DE × BD = DC × BE. |
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| 75811. |
(2) In the figure, seg BDside AC.seg DE 1 side BC, thenshow that DE × BD = DC × BE. |
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| 75812. |
(see rig, 0,537-r15) In an equilateral triangle ABC, D is a point on side BC such that BD= 1/3BC. Prove that9AD^2= 7 AB^2 |
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Answer» ABC is an equilateral triangle , where D point on side BC in such a way that BD = BC/3 . Let E is the point on side BC in such a way that AE⊥BC . Now, ∆ABE and ∆AEC ∠AEB = ∠ACE = 90° AE is common side of both triangles , AB = AC [ all sides of equilateral triangle are equal ]From R - H - S congruence rule , ∆ABE ≡ ∆ACE ∴ BE = EC = BC/2 Now, from Pythagoras theorem , ∆ADE is right angle triangle ∴ AD² = AE² + DE² ------(1)∆ABE is also a right angle triangle ∴ AB² = BE² + AE² ------(2) From equation (1) and (2) AB² - AD² = BE² - DE² = (BC/2)² - (BE - BD)² = BC²/4 - {(BC/2) - (BC/3)}² = BC²/4 - (BC/6)² = BC²/4 - BC²/36 = 8BC²/36 = 2BC²/9 ∵AB = BC = CA So, AB² = AD² + 2AB²/9 9AB² - 2AB² = 9AD²Hence, 9AD² = 7AB² |
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| 75813. |
Example 18. In an equilateraltriangle ABC, D is a point on side BCsuch that BDBC. Prove that9AD-7AB2. (CBSE 2011)CRSE 011 |
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Answer» Like if you find it useful |
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| 75814. |
p/4 - 9*p^2/2 %2B 27*p^3 - 1/216 |
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Answer» 3p माइनस वन अपॉन 6 होल क्यूब |
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| 75815. |
1.State the order of the following matrices.[ab]1 1iv) 2011340Shah |
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Answer» row × matrices i)=1×3ii)=2×1iii)=3×2iv)=3×4 |
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| 75816. |
1. Write the quadrant in which the fol-lowing points lie.i) (-2, 3) , ii) ( 5,-3), iii) ( 4, 2)iv) (-7, -6) v) (0, 8) vi) (3, 0) |
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| 75817. |
1. Mark the following pairs of rational numbers on the separate number lines:32(i) and -3() 5 and5Il) and(iv) 5 and45(v) and -2. Compare:52(i)and(ii) and(iii) -3 and 223(iv)-1 and O(vi)(v) 0 and3 and -1 |
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| 75818. |
The 5th term of an AP exceeds its 12th term by 14. If its 7th term is 4, find the AP. (16, |
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Answer» a5 = a12 + 14a + 4d = a + 11d + 147d = -14d = -2 a7 = 4a + 6d = 4a + 6(-2) = 4a - 12 = 4a = 16 A. P is 16, 14, 12, . . . . . |
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| 75819. |
If 9th term of an AP is zero, prove that the 29th term of the AP is double of its 19th term. |
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| 75820. |
ndăfes ence between theiH totn telan-th th e sarne as the : |
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Answer» Let the same common difference of two AP’s isd, Given that, the first term of first AP and second AP are 2 and 7 respectively, then the AP’s are2,2 + d,2 + 2d,2 + 3d,.,.and7,7+ d, 7 +2d, 7+3d,…Now, 10th terms of first and second AP’s are 2 + 9d and 7 + 9 d, respectively.So, their difference is 7 + 9d – (2 + 9d) = 5Also, 21st terms of first and second AP’s are 2 + 20d and 7 + 20d, respectively.So, their difference is 7 + 20d – (2 + 9d) = 5Also, if the a„ and bnare the nth terms of first and second AP.Then, bn-an= [7 + (n-1)d)] – [2 + (n-1)d] = 5Hence, the difference between any two corresponding terms of such AP’s is the same as the difference between their first terms. Like my answer if you find it useful! |
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| 75821. |
29. The 15th term of an AP is 3 more than twice its 7thterm. If the 10h term of the AP is 41, then find itsnth term. |
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| 75822. |
A tank is 3 full of water. When5 litres were removed, it remained32.41 full. How much water does it2hold when completely full? |
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| 75823. |
:. Asha and Samuel have bookshelves of the same size parly filled with boos2Asha's shelf is th full and Samuel's shelf is th full. Whose bookahelt ismore full? By what firaction? |
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| 75824. |
3. The average weight of 2 chairs is 16 kg. The weight of one of the chairs iskg. What is the weight of the other chair? |
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Answer» weight of chair1+chair2/2=1612+chair2=32chair2=32-12=20kg |
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| 75825. |
In an equilateral triangle ABC, ifAD LBC, then AD-?3(b) 2CD(c) 3CD(d) 4CD2 |
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| 75826. |
15. In an equilateral triangle ABC, Disa point on side BC wuch thar BD9AD-7AB |
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Answer» ABC is an equilateral triangle , where D point on side BC in such a way that BD = BC/3 . Let E is the point on side BC in such a way that AE⊥BC . Now, ∆ABE and ∆AEC ∠AEB = ∠ACE = 90° AE is common side of both triangles , AB = AC [ all sides of equilateral triangle are equal ]From R - H - S congruence rule , ∆ABE ≡ ∆ACE ∴ BE = EC = BC/2 Now, from Pythagoras theorem , ∆ADE is right angle triangle ∴ AD² = AE² + DE² ------(1)∆ABE is also a right angle triangle ∴ AB² = BE² + AE² ------(2) From equation (1) and (2) AB² - AD² = BE² - DE² = (BC/2)² - (BE - BD)² = BC²/4 - {(BC/2) - (BC/3)}² = BC²/4 - (BC/6)² = BC²/4 - BC²/36 = 8BC²/36 = 2BC²/9 ∵AB = BC = CA So, AB² = AD² + 2AB²/9 9AB² - 2AB² = 9AD²Hence, 9AD² = 7AB² I can't u understand please explain clearly |
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| 75827. |
1. The co-ordinate of point P on the number line is 7. Distance between point49P and Q is 7. Find the co-ordinate of Q. |
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Answer» coordinate of Q=9/7 +4/7=13/7 |
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| 75828. |
19.In a certain А.Р., the 24th term is twice the 10th term. Prove that the 72nd term is twice the 34th term. |
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| 75829. |
(11) Find minor and cofactors of the elements of thefollowing determinants2 -43 -523i -1-1 2 3(ii) 3 4 -2(iv)-2 1 43 0-42 -1 0 |
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| 75830. |
12. In a certain A.P., the 24th term is twice the 10th term. Prove that the 72nd term istwice the 34th term. |
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Answer» thanks |
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| 75831. |
35. In a certain AP 32th term is twice the 12term. Prove that 70th term is twice the 31stterm[CBSE 2015, 12] |
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Answer» Explanation : 32nd term of an AP is = a + 31d 12th term of an AP is = a + 11d so a + 31d = 2(a + 11d) a + 31d = 2a + 22d a = 9d 70th term = a + 69d = 9d + 69d = 78d = 2*39d 31st term = a + 30d = 9d + 30d = 39d 70th term = 2*31st term If you find this answer helpful then like it. |
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| 75832. |
8 In an A.P, the 24th term is twice the 10th term. Prove that the 72"dterm is twice the 34 term.thth |
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| 75833. |
(10) The total cost of 3 chairs and 2 tables is Rs. 4500. The lu2 chairs and 3 tables is Rs. 5500. Find the total cost of a chair anda table. |
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| 75834. |
Example && The internal measures of a cuboidal room are 12mx8mx 4 m. Find thetotal cost of whitewashing all four walls of a room, if the cost of white washing is 5 perm2. What will be the cost of white washing if the ceiling of the room is also whitewashed. |
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Answer» 2(l+b)h = LSA2(12+8)4 =2(20)4 = 40*4 = 160m²cost of whitewashing 4 walls =160*5 = Rs 800area of 5 walls = LSA+ l*b = 160 + (12*8) = 160 + 96 = 256m²cost of whitewashing vd ceiling = Rs 800 +(96*5) = Rs 800 + 480 = Rs 1280 |
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| 75835. |
Three particles of mass 1 kg, 2 kg and 3 kg are placed at the corners A, B and C respectively of anequilateral triangle ABC of edge 1 m. Find the distance of their centre of mass from A. |
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| 75836. |
k( 1 )2-3(1) + k = 0=(i) 12r2-7x + 1(ii) 6r2+ 5r-6l1(ivp+q=-7=--4-3pq = 12-64) (- |
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| 75837. |
ER-Rdefined by f(x)--2,wxeR isISX +1 |
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| 75838. |
g 1denominator ââ T |
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| 75839. |
S3Im=5m-ââ. 5 |
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| 75840. |
Now make the greatest and the smallest 4-digit numbers by using any onedigit twice.(a) 3.8, 7 (b) 9,0,5 (c) 0,4,9 (d) 8.5.1(Hint: Think in each case which digit will you use twice.) |
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Answer» A is the correct answer A is the correct answer A is the right answer A answer is correct ..... |
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| 75841. |
g = Ag + X7 ⢠A+ X (1) |
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| 75842. |
INES AND AI09, if 1 Il m, n1 ll p and 1 85°, find 2.n FigTi2Fig. 10.109 |
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Answer» ∠1 = ∠3 (corresponding angles)∠2 + ∠3 = 180 (co-interior angles are supplementary) ∠2 = 180 - 85 = 95 |
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| 75843. |
\left[ \begin{array}{ll}{3} & {2} \\ {4} & {1}\end{array}\right] \left[ \begin{array}{l}{x} \\ {y}\end{array}\right]=\left[ \begin{array}{l}{5} \\ {5}\end{array}\right] \text { find } x \text { and } y |
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| 75844. |
ull formsformsfullit isyou arcan'tdon'tIm |
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Answer» 2×2 = 4 is the answer |
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| 75845. |
7craser for 210 What is the total cost ors2EXAMPLE 3 |
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Answer» Total cost = sum of both articles = 3(2/5) + 2(7/10) = 17/5+27/10 = 34/10 +27/10 = (34+27)/10 = (61)/10 = 6.1rs |
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| 75846. |
\begin{array}{l}{\text { Solve for } x \text { and } y, \text { given that }} \\ {\left[ \begin{array}{cc}{3} & {-4} \\ {1} & {2}\end{array}\right] \left[ \begin{array}{l}{x} \\ {y}\end{array}\right]=\left[ \begin{array}{c}{3} \\ {11}\end{array}\right]}\end{array} |
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Answer» 3x-4y=3x+2y=113x-4y+2x+4y=3+22=255x=25so x=515-4y=34y=12y=3 |
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| 75847. |
HAPTER EXEry Short Answer VSA) Type Questions1 Is reflex action the only function of spinal cordSupport your answer with a single statement. |
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Answer» its of all in one by arihant... i m right na No, spinal cord also gives the information from all body to brain.... No, a reflex action is not the only function of the spinal cord. Our spinal cord has 2 basic functions: 01. It connects a large part of the peripheral nervous system to the brain. 02. It helps in carrying out reflex actions. |
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| 75848. |
b)Form the greatest and the smallest 4 digit numbers using the digits 9,0 & 7 |
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Answer» greatest number 9970smallest number 7009 greatest 4 digit no - 9970smallest 4 digit no - 7009 |
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| 75849. |
er US PIGUE 1. T......Make the greatest and the smallest 7-digit numbers using the digits 4, 5, 6, 1, 2, 8 and 3Repetition is not allowed. |
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Answer» greatest number :8654321smallest number 1234568 86543211234568 is the answer of the following 8654321 is the greatest and 1234568 is smallest |
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| 75850. |
llat thealucot B ) metres.18. Phe lower window of a house is at a height of 2 m above the ground and its upperwindow is 4 m vertically above the lower window. At certain instant the angles ofelevation of a balloon from these windows are observed to be 60° and 30°respectively. Find the height of the balloon above the ground. |
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