Saved Bookmarks
This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
\frac { \operatorname { sin } ( x + \theta ) } { \operatorname { sin } ( x + \phi ) } = \operatorname { cos } ( \theta - \phi ) + \operatorname { cot } ( x + \phi ) \operatorname { sin } ( \theta - \phi ) |
| Answer» | |
| 2. |
\int_{0}^{\frac{\pi}{2}} \sqrt{\sin \phi} \cos ^{5} \phi d \phi |
|
Answer» shudhdvfhdttiwtisjfzjgtistiwtfbssjfsjgsttstejfststeiteitgktk The answer is 64/231 Yes sorry there is a mistake In calculation. Correct one is this |
|
| 3. |
(\sin \theta-\sin \phi)^{2}+(\cos \theta-\cos \phi)^{2}=4 \sin ^{2} \frac{\theta-\phi}{2} |
| Answer» | |
| 4. |
\left| \begin{array} { l l } { \operatorname { cos } \theta } & { \operatorname { cos } \phi } \\ { \operatorname { sin } \theta } & { \operatorname { sin } \phi } \end{array} \right| = - \operatorname { sin } ( \theta - \phi ) |
| Answer» | |
| 5. |
\left| \begin{array} { c c } { \operatorname { cos } \theta } & { \operatorname { cos } \phi } \\ { \operatorname { sin } \theta } & { \operatorname { sin } \phi } \end{array} \right| = - \operatorname { sin } ( \theta - \phi ) |
| Answer» | |
| 6. |
D. Tell whether the statement "All integers are rational numbers" is trueor false. Explain your choice. |
|
Answer» True . As all integer can be write as p/q form where q is not equal to 0. For any integer choose q=1 and p be any arbitrary integer therefore all condition satisfied for rational number. |
|
| 7. |
find the Sum oě the meas LLH eg ok all the. |
|
Answer» Each triangle has anangle sumof 180 degrees, so thesumof theinterior anglesof the15-gon must be 13 × 180 = 2340 degrees. Since the15-gon is regular, this total is shared equally among the15 interior angles. Eachinterior anglemust have ameasureof 2340 ÷15= 156 degrees. |
|
| 8. |
our of linenineerFollowingsoluti ensÄą3) For u, hatăatu e o Abco i Il theequation have in finitel |
| Answer» | |
| 9. |
2. Find the positive root of 3x2 +6 |
|
Answer» PLEASE LIKE THE SOLUTION |
|
| 10. |
Is the following statement true?12: 36= 14:42 |
|
Answer» yes it is true12/36= 1/3and 14/42= 1/3 ok thanks |
|
| 11. |
HINT Lel iTheir sum is 360°11. Find four numbers in AP whose sum is 28 and the sum of whose squaresis 216.s which are the four terms of an AP such that the |
|
Answer» Let the four numbers be (a-3d), (a-d), (a+d) & (a+3d).(Observe that they are in Arithmetic Progression)so (a-3d)+(a-d)+(a+d)+(a+3d)=28 → a=7.(a-3d)²+(a-d)²+(a+d)²+(a+3d)²=216 → 4(a²)+20d²=216 → d=±1.Hence, the numbers are 4, 6, 8 & 10. how it is 20d² and afre where is the square in answer sum of whose squares see in the question it is mentioned |
|
| 12. |
WHAT MATH SYMBOLSARE MISSING?737324 |
|
Answer» (3/7+3)*7 =24;=> (3/7 + 21/7) * 7 =24;=> (24/7) * 7 =24;=> 24=24 symbol hhfgihvvjrscirttgjurvk |
|
| 13. |
this is symbols this ead Phi" |
|
Answer» Thecaret/ˈkærət/(also known as the Chinese Hat) is an inverted V-shapedgrapheme. It is the spacing character^inASCII(atcode point5Ehex) and othercharacter setsthat may also be called ahat,control,uparrow, or less frequently,chevron,xorsign,'to thepower of'(exponent |
|
| 14. |
find the coodinates of the point which divides the line segment joining(3,4)nd(-6,2)in the ratio 3:2 externally |
|
Answer» Let the point P which divides the line segment joining (3,4) and (-6,2) in the ratio 3 :2 externally. we have , if two point (x₁ ,y₁) and (x₂, y₂) are divided by P(x, y) in the ratio m : n.Then, x = (mx₂ - nx₁)/(m - n) and y = (my₂ - ny₁)/(m - n) Here, (x₁ , y₁) = (3,4) (x₂ , y₂) = (-6,2) m : n = 3 : 2 Now, x = (3 × -6 - 2 × 3)/(3 - 2) = (-18 - 6)/1 = -24 y = (3 × 2 - 2 × 4)/(3 - 2) = (6 - 8)/1 = -2 Hence, P ≡( -24 , -2) |
|
| 15. |
Find the coordinates of the point which divides the line joining the points(3, -5),(-7,9) externally in theratio1: 3/5 |
| Answer» | |
| 16. |
LABReISE1. The cost of a notebook is twice the cost of a pen. Write a linear equation in twovariables to represent this statementTake the cont4.1ExamSoluti |
| Answer» | |
| 17. |
7·cos/xaxequals2 |
| Answer» | |
| 18. |
2.The ein unife,ence of a circle i。기 4㎝ Findthe radiusand the area of the circle? |
|
Answer» hit like if you find it useful |
|
| 19. |
4. Divide the sum of 5 ande sumby their difference.ence. |
| Answer» | |
| 20. |
ence, 450 small cubes can be placed in the given cuboid.4. If each edge of a cube is doubled how many times will its volume increase? |
|
Answer» 4)let the side of the cube be a then volume=(a)^3 according to the question new side=2a then new volume=(2a)^3=8a^3 |
|
| 21. |
Example 1: A rectangular lawn of length 40m and breadth 25m is to besurounded externally by a path which is 2m wide. Find the area of the path |
| Answer» | |
| 22. |
he base radius and height of aCont Corcular cone are zilcm and!40m respectively Find Its voor |
|
Answer» 18.48 CM cubic units Given:r=2.1 cmh=14cmVolume=(1/3)πr^2h=(1/3)×3.14× 2.1×2.1×14=64.62 cm^3 |
|
| 23. |
Q1. The Perimeter of a rectangle is 40m. Its length is 4m less than five times itsbreadth. Find the area. |
|
Answer» PERIMETER=40mThe length = 5(breadth)-4PERIMETER=2(l+b) 40=2(5b-4+b)(Substituting value of length) 40/2 = 6b-4 20=6b-4 20+4 = 6b 24=6b b=4cmLength=5b-4=5(4)-4=20-4=16AREA OF THE RECTANGLE= length*breadth =16*4 =64cm^2 |
|
| 24. |
何村何 TI |
| Answer» | |
| 25. |
ATEDPAGE NO |
|
Answer» sum of all angles = y+y+z+40+112=3602y+z =208....1sum of adjacent angle =y+112=180y=180-112y=68put this in 12*68 + z=208136 + z = 208z=208-136=72 |
|
| 26. |
a and bitaane ence4 |
|
Answer» Given α and β are the zeroes of the polynomial x^2− 2x + kAlso given that α − β = 8 → (1)Recall that sum of roots (α + β) = −(b/a)∴ α + β = 2 → (2)Add (1) and (2), we getα − β = 8α + β = 22α = 10∴ α = 5Put α = 5 in α + β = 25+ β = 2∴ β = -3Since 5 and -3 are zeroes of the given polynomialPut x = 5 in the given polynomial to find the value of kx^2− 2x + k⇒ 5^2− 2(5) + k = 0⇒ 35− 10 + k = 0⇒ 25+ k = 0∴ k = 25 |
|
| 27. |
they are approximately _______ district in India |
|
Answer» As of 2019 there are a total of 723 districts, up from the640in the 2011 Census of India and the593recorded in the 2001 Census of India. |
|
| 28. |
19,Ifa cos θ + b sin θ # m and a sin θ-bcos θ#n,prove that a,b,ะ m 2 + n2takin |
| Answer» | |
| 29. |
3.A cylinder has a height of 11cm & volume of v 27r. What are the radius and surface area or ghcylinder?1 40m Find thearcest eide |
|
Answer» Volume=πr^2h=27π27/11=r^2r=√27/11cmhence surface =2πrh+2πr^2=2*22/7*√27/11+2*22/7*27/11 =44√27/7√11+4*27/7=44√27/7√11+108/7cm^2 |
|
| 30. |
The acute angles of a right triangle are in the ratio 2: 1. Find each of these angles.1 tho nthertangles are qual. Find each of the |
| Answer» | |
| 31. |
\left(\frac{3}{4}\right)^{3} ]^{2} \times\left(\frac{1}{4}\right)^{-2} \times(4)^{2} \times \frac{1}{12} |
| Answer» | |
| 32. |
In the figure below, if the area of the square is three times the area oftriangle, find the area of the shaded region.the2.5m2.5 6 m15 m |
| Answer» | |
| 33. |
The base of a parallelogram is three times its corresponding height. If the base is 21 cm, find its area. |
| Answer» | |
| 34. |
capacity of a cylindrical vessel is 25. 872 later if the height of cylinder is three times the radius of its base area of the base |
| Answer» | |
| 35. |
capacity of a cylindrical vessel is 25. 872 is height of cylinder is three times the radius of its base what is the area of base |
|
Answer» thanks |
|
| 36. |
4 \frac { 1 } { 2 } \times 5 \frac { 1 } { 4 } \times \frac { 8 } { 21 } |
|
Answer» 9/2*21/4*8*21=4.5*5.25*0.380952381=9.0=9 |
|
| 37. |
6. Find the compliment of 36ยบ. |
|
Answer» sum of two complimentry angles=90if one angle =36other angle is=xx=90-36x=54 compliment angle=90therefore, compiment of 36 =90-36=54 |
|
| 38. |
What is the measure of the compliment of 56°?Find the product of-X .3 , 11 |
|
Answer» The complement of 56° is the angle that when added to 56°formsa right angle (90° ). thank you |
|
| 39. |
ve that a median divides a triangle into two triangles of equal area.15. Pro |
| Answer» | |
| 40. |
height and sum of the parallel sides of a trapezium are inethe4 td the change in areareased three times, then |
| Answer» | |
| 41. |
Find the complement of an angel which is 1 4 times of itscompliment11) |
|
Answer» Let angle is x and other is 14x x+14x=9015x=90x=90/15=6 Angle is 6° and complement is 84 |
|
| 42. |
the centre, find thĂŠ length or he lope(vi) The perimeter of a certain sector of a circle is equal to the length of the arc of(CET 08)the semicircle. Then find the angle at the centre of the sector |
| Answer» | |
| 43. |
Express the HCF of 468 and 222 as 468x +22y where x, y are integers in twodifferent ways. |
|
Answer» Given integers are 468 and 222 where 468 > 222. By applying Euclid’s division lemma, we get 468 = 222 × 2 + 24 …(i) Since remainder ≠ 0, apply division lemma on division 222 and remainder 24 222 = 24 × 9 + 6 …(ii) Since remainder ≠ 0, apply division lemma on division 24 and remainder 6 24 = 6 × 4 + 0 …(iii) We observe that the remainder = 0, so the last divisor 6 is the HCF of the 468 and 222 From (ii) we have 6 = 222 – 24 × 9 6 = 222 – [468 – 222 × 2] × 9 [Substituting 24 = 468 – 222 × 2 from (i)] 6 = 222 – 468 × 9 – 222 × 18 6 = 222y + 468x, where x = −9 and y = 19 6 = 222 × 19 – 468 × 9 Like if you find it useful |
|
| 44. |
1.List five rational-1 and 0 |
|
Answer» Sol:Given numbers -1 and 0.Rational numbers between 2 numbers a and b is ( a + b) / 2.Rational numbers between 2 numbers -1 and 0 is= ( -1 + 0) / 2 = -1/ 2rational numbers between 2 numbers -1 and -1/ 2 is= (-1 + (-1/ 2)) / 2 = -3 / 4rational numbers between 2 numbers -1/ 2 and 0 is= (-1/ 2 + -3 / 4) / 2 = -5 / 8.Rational numbers between 2 numbers -1 and -3 / 4= ( - 1 + ( -3 / 4) ) / 2 = -7 / 8Rational numbers between 2 numbers -3 / 4 and -7/8.= ( -3/ 4 + ( -7 / 8) ) / 2 = -13 / 16five rational numbers between -1 and 0 are-1 ,-1/2 , -3/4 , -1 /4,-5 / 8 ,-7 / 8 , -13 / 16, 0. |
|
| 45. |
If a line is perpendicular to z -axis and makes an angle 40°with y -axis, then find the angle if makes with the x -axis. |
|
Answer» thanks you are too good can we become a good friend |
|
| 46. |
here will the hand of a clock stop if it(a) starts at 12 and makes2 of a revolution, clockwise'?(b) starts at 2 and makes of a revolution, clockwise?2(c) starts at 5 and makes of a revolution, clockwise?4(d) starts at 5 and makes of a revolution, clockwise?4l face if you start facing |
| Answer» | |
| 47. |
ERCISE 111ercises 1 to 5, find the equation of the circle withIn each2centre (0,2) and radius. centre (n |
|
Answer» very nice |
|
| 48. |
2Ď(iii) which makes an angle of(ii) which makes an angle ofwith the positive direction of the x-axiswith the positive direction of the x-axis |
| Answer» | |
| 49. |
RTS.6.139, i12 ACB = 40°,DPB = 120°, finaZCBD.40°× ) 1200 |
|
Answer» Thank you sir |
|
| 50. |
t the concentration of SO, in the air (in parts per miltion,1o cted for 30 localities in a certain city and is presented below" wascollecteConcentration of SO, Gin ppm)Frequency0.00 0.040.04-0.080.08 -0.120.12 0.160.16-0200.20 0.24Find the mean concentration of SO, in the air. |
| Answer» | |