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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.
| 77201. |
13-2mx 219 |
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Answer» put x=-3-27+6m+21=06m=6m=1 let's x=3.°. X3=272mx=2×3m=6m21=21-27+6m+21=0-27+21=6m6=6mm=6/6m=1 |
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| 77202. |
Write rational number 17/8in terminating decimal expansions without actually performing thelong division. |
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| 77203. |
17in terminating decimal expansions without actually performing the8Write rational numberlong division. |
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| 77204. |
HCISE1.6LEVEL-11. Without actually performing the long division, state whether the following rationlnumbers will have a terminating decimal expansion or a non-terminating redecimal expansion.peating23812544135(iii)[NCERT](v) 2 INCERT12922 x 577 (0500 INCERT EXEMPLAR987(vi) |
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Answer» any and me |
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| 77205. |
202+25酉ส : 4x2-20x +25 = (2x)2-20x + 52= (2x-5)2= (2x-5) (2x-5)璽-a2-b2 = (a + b) (α-b)= (x+3)(x-3)X2-9=0→(x+3)(x-3)= 0 |
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Answer» x² - 9 (x - 3)( x + 3) To x = 3 or - 3 |
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| 77206. |
INTERNATIONAL LYMPIADWhich one among the following is the reciprocal of 25 x37.G㈠5.(A) 2-2 x 3-7 x 7(C) 25 x 37 x 7-18(E) of these(B) 23 x 3' x 758(D) 24x 37 x 7s |
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Answer» (2^5*3^7*7^(1/2*3/4))/(8^(1/2*2)*7^(1/2))=(2^5*3^7*7^(3/8))/(2^3*7^(1/2))=2^(5-3)*3^7*7^(3/8-1/2)=2^2*3^7*7^(-1/8)so reciprocal is2^(-2)*3^(-7)*7^(1/8) |
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| 77207. |
xy+2z0 have a non-trivial solutionxy2z0 have a non-trivial solutionShort Question:IUPTU (SUM) 2008 |
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Answer» 2geiwiteigkwjffkajfns |
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| 77208. |
i a iber which when multiplied by b is increaset y4. The sum of three consecutive natural numbers is 114. Find the numbers. |
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Answer» Let the three consecutive natural numbers be x,x+1,x+2. :.x+x+1+x+2=114=>3x+3=114=>3x=111=>x=37 So, the numbers are:-37,38,39 |
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| 77209. |
Find two consecutive positive integers, the sum ofwhose squares is 365 |
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| 77210. |
Find the sum of first i0 natural numbers(a) 65(b) 100to |
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| 77211. |
Write whether the rational number 7/75will have a terminating decimal expansionor a non-terminating repeating decimal expansion |
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Answer» Given rational no. = 7/75Its decimal equivalent =. 0933333 It shows that 7/75 have a non terminatingrepeating decimal expansion. thnxx |
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| 77212. |
Without actually performing the long division state whether 219/750 will have terminating decimal expansion or non-terminating repeating decimal expansion. |
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| 77213. |
1) Without actually performing the long division, state whether the following rational numbers will have a17terminating decimal expansion or a non-terminating repeating decimal expansion |
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| 77214. |
7. Write whether the rational number 7/75 will have a terminating cecimal expansion or a orterminating repeating decimal expansion. |
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Answer» 75= 5*5*3 7/75 is non terminating decimal expansion because it cannot be written in form 2 ^ m × 5 ^n Like my answer if you find it useful! |
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| 77215. |
Q3. Write without actually performing long division whether the rational number 51/1500 will have aterminating decimal expansion or a non terminating repeating decimal expansion and if it will terminatethen after how many decimal places? |
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Answer» 51/1500=51/2^2×5^3×3 the denominator has a factor which is other than 2 and 5 Therefore,it is a non-terminating decimal |
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| 77216. |
Answer the following questions with short calcuQuestion 17 to 26 - 2 marks each]Chapter 1 (From First Test Syllabus]1. Find three rational numbers betweenand |
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Answer» 2*5/3*5 =10/15and 4*3/5*3=12/15hencethree rational number would be 10.5/15,11/12,11.5/12 |
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| 77217. |
23 x5-3 x102 x 2554 x 25 |
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Answer» 2⁻³ × 5⁻³ × 10² × 25/5⁴ × 2⁻⁵ = 2⁻³ × 5⁻³ × (5 × 2)² × 5²/5⁴ × 2⁻⁵ = 2⁽⁻³ ⁺ ² ⁺ ⁵⁾ × 5⁽⁻³ ⁺ ² ⁺ ² ⁻ ⁴⁾ = 2⁴ × 5⁻³ = 16/125 |
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| 77218. |
4. Find two consecutive positive integers, sum of whose squares is365. |
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| 77219. |
3.Find two consecutive positive integers, sum of whose squares is 613. |
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Answer» Let two consecutive positive integers be X, x + 1 according to the question x² + (x + 1)² = 613 x² + x² + 1 + 2x = 613 2x² + 2x = 613 - 1 2x² + 2x - 612 = 0 2 ( x² + x - 306 ) = 0 x² + x - 306 = 0 x² - 18x + 17x - 306 = 0 x (x - 18) + 17 (x - 18) = 0 (x - 18) (x + 17) = 0 x = 18 x = -17 thanks |
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| 77220. |
I Write the following statements in symbols:a) The natural numbers Z6b) Negative integers greater than-6c) The integers lying in between - 5 and 3.d) The successor if-8 |
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Answer» a) N:N such the N<6b) I:I such that I> -6c) I:I such that. -5<I<3d) R:R+1 if R = -8 |
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| 77221. |
State, the 8asmpledaausing a slipconta ung 4 stip dabultedSpaus and tind theproTom a bbaga 3,5, 8 and 9. |
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Answer» 1 upon 4 is the correct answer as possibility on total outcomes |
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| 77222. |
(State whether the rational number 17/8 will have a terminatingdecimal expansion or non-terminating repeating decimal expansion.) |
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| 77223. |
2x5The number of decimal places after which the decimal expansion of the rational(a) 1the rational number2322 x5will terminate is(c) 3(d) 4 |
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| 77224. |
10. (i) xcos x d12. sin-1 x de14. 3sin vx dx9.111. (i) 「xsec2 2xdx (ii) 「xsin3xdx3. cotx dx2 |
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| 77225. |
The product of two consecutive positiveintegers is 420. Find the integers |
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Answer» sorry,bit the answer is 20,21 |
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| 77226. |
8. (a) Write four negative integers greater than-20. |
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| 77227. |
(a) On which one of the parameter out of a, p, d or x the value of the determinant11a? Acos(p-d)x cospx cos(p+d)x does not depend.sin(p-d)x sin px sin(p+d)x |
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Answer» sorry I don't know please |
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| 77228. |
\left. \begin{array} { l } { \text { The simplified value of } \sqrt { \frac { ( \sqrt { 12 } - \sqrt { 8 } ) ( \sqrt { 3 } + \sqrt { 2 } ) } { 5 + \sqrt { 24 } } } \text { is } } \\ { 5 + \sqrt { 24 } } \\ { ( B ) 2 - \sqrt { 6 } } \end{array} \right. |
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Answer» tq |
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| 77229. |
1.3 : Let x be a rational number whose decimal terminates.the form 2'5", where n, m are non-negative integers.Do THis(iv) 23.3(i) 15.265 (ii) 0.1255 (iii) 0.4in 2 5 form.You are probably wondering what ha2onal number in the form ofand the prime fofe n, m are non-negative integersthen does have a terminaliSo, it seems to maketo convert a rationalofhe form 2*5m, to an equt us go back to ourabove and work backwards.26 2625 50.375 |
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| 77230. |
trve, so4. What will be the siga of the product, tf we taulĂźply 90 negsuve tategers sni5. What will be the sign of the product. if we muluply 103 negative integers and 65 psitveinitegers?and 9 posiraveisiuerintegers? |
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Answer» what is the answer of these question |
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| 77231. |
or any two positive integers a and b, (-a) * (-b) = ..-oduct of three negative integers is a ........ integeroduct of four negative integers is a ......... integer. |
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Answer» 1) ab2)negative integerc) positive integer |
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| 77232. |
(a) Write four negative integers greater than -20.(b) Write four negative integers less than -10. |
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Answer» a)-19,-18,-17,-16b)-11,-12,-13,-14 |
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| 77233. |
20. The angle between two altitudes of a parallelogram through theof an obtuse angle of the parallelogram is 60°. Find theparallelogram.vertangles of t |
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| 77234. |
sin 1xSL72Find the derivative of1+sin xund 11 |
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| 77235. |
What is the simplified value of (81^0.16). (81^0,09)? |
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| 77236. |
in the givenen figure, Pe is parallel to RS. Find the value of x and yR.45°140° |
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Answer» x= 180-45 = 135 ( linear pair) x= y = 135 ( alternate angles) |
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| 77237. |
7. If there are 25 negative integers and 19 positive integers what will be the sign of theproduct? |
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| 77238. |
14.) What will be the sign of the product, if we multiply 90 negative integers and 9 positiveintegers? |
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| 77239. |
In the figure BD I| CE, find x, y, 2.120°700 |
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Answer» sukriya. |
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| 77240. |
was2.0002.000. In a month he deposited1. Gaury's bank balance wasso he depositedthe balance m aissued cheques worth700 und1.250. Find the bala0,'s50 unwine enthe month?salefighter pilot flying a jet aircraft at |
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Answer» net balance=3500 have rs 1950 left rs. 3500-1950=1550 |
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| 77241. |
15. The given figure is a parallelogram Find the value of z and y700 |
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Answer» Z = 180-70 = 110 ( sum of angles on a line is 180)y = z = 110. (opposite angles of a parallelogram are equal). Please hit the like button if this helped you. |
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| 77242. |
A stone is dropped into a quiet lake and waves move in circles at the speed of5 cm/s. At the instant when the radius of the circular wave is 8 cm, how fast isthe enclosed area increasing? |
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| 77243. |
A stone is falling from a rmountain. The velocity ofthe stone is given by V-9.gt. Draw itsgraph and find the velocity of the stone 4' seconds after start. |
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| 77244. |
10. A stone is falling from a mountain. The velocity of the stone is given by V = 9.8t. Draw itsgraph and find the velocity of the stone 4' seconds after start |
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| 77245. |
2If 4/128+4/75+5,162 is simplified ,the |
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| 77246. |
In each of the following cases specify the sign of the result.(a) Product of 18 positive integers and 7 negative integers(b) Product of 9 positive integers and 5 negative integers(c) Product of 12 positive integers and 10 negative integersProduct of 11 positive integers and 9 negative integers |
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Answer» A B D = Minus sign Negative integer.C = Plus sign Positive integer |
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| 77247. |
CALACIJL TOe number of persons who visited the holy shrine of Mata Vaishno Devi during last twosecutive years was 13789509 and 12976498 respectively. How many persons visitedhiihonourer |
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Answer» Total person who visited in the last 2 yrs=13789509+12976498=267766007 |
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| 77248. |
EXERCISE 1CThe number of persons who visited the holy shrine of Mata Vaishno Devi during last twoonsecutive years was 13789509 and 12976498 respectively. How many persons visitede shrine during these two years? |
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Answer» 26766007 people visited in the 2 years 26766007 people visited in the 2 years 26766007 people visited in the 2 years 26766007 is the correct answer of the given question |
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| 77249. |
11. In Δ ABC and Δ DEF, ABDE, AB 11 DE, BC-, EFand BC || EF. Vertices A, B and C are joined tovertices D, E and F respectively (see Fig. 8.22).Show that0) quadrilateral ABED is a parallelogram(ii) quadrilateral BEFC is a parallelogramE.(ii) AD | CF and AD CF(iv) quadrilateral ACFD is a parallelogram(v) AC DF(vi) Δ ABC Δ DEF.Fig. 8.22 |
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| 77250. |
EXERCISE 14in the given fio25 = 700 finden figure, Zlm and t is a transversal.o find the measure of each of the angles1. 23, 24 and 28.6578 |
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Answer» each all the angle is 70 all the angles are 70 angle 1=70, angle 3=70, angle 4=110, angle 8= 110 |
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