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. |
\lim _{x \rightarrow 2} \frac{2-x}{\sqrt{2+x}-2} |
|
Answer» by taking x=2 we will get 0/0 form so using L'hospital rulelim x->2 -1/(1/2root(2+x))=-1*2root(2+2)=-2root(4)=-4 |
|
| 2. |
Evaluate \lim _{x \rightarrow 2} \frac{x-2}{\sqrt{x}-\sqrt{2}} |
| Answer» | |
| 3. |
cular clasthat clar275 passengers can travel in 5 buses. How many passengers each buswill carry ? |
|
Answer» 275 passengers can travel in 5 buses Then,Number of passengers each bus will carry = 275/5= 55 the bus will carry 55 passengers 5 bus=275 passenger1 bus=275/5 passenger =55 passenger 275 passengers travelled in 5 buses than no of passenger in each bus 275/5= 55 |
|
| 4. |
8. Mohan wants to buy a trapezium shaped field.Its side along the river is parallel to and twicethe side along the road. If the area of this field isif thecostperm14100 m10500 m2 and the perpendlength of the side along the rivercular distancebetween the two parallel sides is 100m, find the5River |
| Answer» | |
| 5. |
DjDrawi a diagram to shcw lins AB'is perpend cular to the line CD. LetAB and CD intersect atpoint o. What is the measure of ZAOD? |
|
Answer» thank you |
|
| 6. |
cular playground is4 The area of a cir22176 m. Find the cost of fenciat the rate of 50 per m. NERT euNCERT Exe |
| Answer» | |
| 7. |
PRACHCE SHEE1...4cular plot has a perimeter of 650 m. A plot in the shapecircumference of the field is marCalculate the area of the square field.57.A cirof a square having its vertices on the |
| Answer» | |
| 8. |
0.37. Rutuj's mother is 4 times his age today. If 3 years ago she was 29 years old, thenfind Rutuj's age at that time.(3) 5 years(4) 6 years(2) 8 vears |
|
Answer» Let present age of Rutuj = xRutuj mother present age = 4x Rutuj Mother age 3 years ago= 4x - 3 Then,4x - 3 = 294x = 32x = 32/4 = 8 Rutuj age 3 years ago= x - 3 = 8 - 3 = 5 years (3) is correct option |
|
| 9. |
Monu's age father is 26 years younger than Monu's grand -father and 29 yearsold than Monu. The sum of the ages of ali the three is 135 years. What is the ageof each one of them.? |
| Answer» | |
| 10. |
l0. Gurpreet is 11 years older than her cousin and the sum of their ages is 29 years. How old is Gurpreet andhow old is her cousin? |
|
Answer» Let age of gurpreet=xLet age of her cousin=y x=y+11x+y=29y+11+y=292y=18y=18/2=9x=20 Therefore, the age of gurpreet=20And age of her cousin=9 |
|
| 11. |
2s. Rakhi's mother is four ttmes as old asas old as she will be then. Find their present agesMonu's father is 26 years younger than Monu's grandfather and 29 years older than NouThe sum of the ages of all the three is 135 years. What is the age of each one of them34.nldrr than his grandson. He is also 54 years older than him. Fnd therWas |
| Answer» | |
| 12. |
Find the coordinates UI WCand the y-axis.25. Draw the graphs of x - 1 + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates ofICBSE 2002)the vertices of the triangle formed by these lines and x-axis and shade the triangulararea. Calculate the area bounded by these lines and x-axis.o nhically the system of linear equations: |
| Answer» | |
| 13. |
3. If tan (A+ B)=p and tan (A-B), then the value oftan 24 is(a) Pt卫-1(c)1tp (d)1-p1[PET (MP) 2002)p-9 |
|
Answer» tan2A=tan(A+B+A-B)=(tan(A+B)+tan(A-B))/(1-tan(A+B)tan(A-B)=(p+q)/(1-pq) |
|
| 14. |
19. ABC is an isosceles triangle, right-angled at B. Similar triangles ACD andABE are constructed on sides AC andAB. Find the ratio between the areas ofICBSE 2002]AABE and AACD. |
| Answer» | |
| 15. |
UUUU, then(1) y=0(AIEEE-2002, (3.-1), 225(2)ys 2(3)y=-?Vasy22If sin (a + B) = 1, sin (a - B then tanta +2B) tan(2a +B) is equal to (AIEEE-2002, (3.-1),225. (2)-1(4) of theseif tane =- then sine is(AIEEE-2002, 3,-1), 225)(3) 0 |
| Answer» | |
| 16. |
Sulaue values U11 ULU18. In an acute angled AABC, if tan (A+B-C) = 1 and sec (B+C - A) = 2, find the values of A,B[HL]and C.ICBSE 20121doin 450 cos 450 |
|
Answer» Tan (A+B-C) = 1 Tan 45° = 1 Hence, A+B-C = 45° ........(i) Sec (B+C-A) = 2 Sec 60° = 2 Hence, B+C-A = 60° .......(ii) Adding equation (i) and (ii), we get, A+B-C+ B+C-A = 45° + 60° 2B = 105° B = 52.5° Hence, A+B-C = 45° A+52.5° -C = 45° A-C =45° - 52.5° A-C = -7.5° ............(iii) Now, A+B+C = 180°Hence, A + 52.5° + C = 180° (Angles of the triangle) A + C = 180° - 52.5° A + C = 127.5° .........(iv) Now, Adding equation (iii) and (iv), we get, A-C + A + C = -7.5° + 127.5° 2A = 120° A = 120°/2 A = 60° C = 127.5° - 60° C = 67.5° Hence, A = 60°, B = 52.5° and C = 67.5° |
|
| 17. |
ср8y Show graphically that the system of equations 2x + y-6, 6x + 3y18has infinitely many solutions |
| Answer» | |
| 18. |
hasFind c if the system of equationsinfinitely many solutions?cr +3y + (3-c)=0; 12x+cy-c=0 |
|
Answer» For infinite solution |
|
| 19. |
What should be the value of Îť, for the given equations to haveinfinitely many solutions?5x + Îť y=415x+3y=12 |
| Answer» | |
| 20. |
Find the value of λ for which the system of equations Ax + 3y =-7 and 2x + 6y = 14have infinitely many solutions8. |
| Answer» | |
| 21. |
Q11. Determine the value of kfor which the given system of linear equations hasinfinitely many solutions12x + ky-k |
|
Answer» For equations have infinite many solutionsa1/a2 = b1/b2 = c1/c2 Given equations kx + 3y = k - 312x + ky = k a1 = 6, b1 = 3, c1 = 3-ka2 = 12, b2 = k, c2 = - k Then, 6/12 = 3/k k = 3*2 = 6 Value of k = 6 |
|
| 22. |
have infinitely many solutions.Q.24. Solve the following pair of linear equations by substitution method:2x + 7y = 9; 8x - y = 7 |
|
Answer» x=1,y=1 is the right answer 2x + 7Y = 9............(1)8X - Y = 7...........(2)Y = 8X -- 7......(3)put equation 3 in 12X + 7(8X - 7) = 92x + 56x - 49 = 958x = 9+4958x = 58x = 1 put x in equation 3 Y = 8×1-7Y = 8-7Y = 1 X = 1 y= 1 is the correct answer 2x+7y=97y=9-2xy= 9 -2x/7 putting the value of y in eq28x-y=78x-(9-2x)/7=756x-9+2x/7=758x-9=4958x=49+9=58x=1.so y= 9-2x/7 = 9-2×1/7 = 7/7=1 x=1 and y=1 crecct answer y=1. X=1 is the right answer |
|
| 23. |
respectivelysuchthatBlABC is an equilateral triangle D, E, F are points on BC, CA, AB-CE AF. Prove that ADEF is an equilateral triangle. |
|
Answer» very very thankful for you |
|
| 24. |
ABCisanequilateraltriangleD,E,FarepointsonBC,CA,ABrespectively such that BDCE AF. Prove that ADEF is an equilateral triangle. |
| Answer» | |
| 25. |
afb= -2, thena=3 andaat 66 |
|
Answer» Given that a= 3 b= -2so3^3= 272^-2= 1/427+1/4= 27*4+1/4109/4thanks |
|
| 26. |
U LIGULULIICL 11UILDDABC is an equilateral triangle D, E. Fare points on BC.CA. AB respectively such that en=CE = AF Prove that ADEF is an equilateral triangle. |
|
Answer» is this ncert or cbse |
|
| 27. |
9. Find the area of quadrilateral ABCD, where BD = 22 cm. CE-7 cm and AF-6 cm. |
|
Answer» We know area of triangle is 1/2 × base × height Area of ABCD = Ar(∆BCD) + Ar(∆ABD) = 1/2 × EC × BD + 1/2 × AF × BD = 1/2 × 7 × 22 + 1/2 × 6 × 22 = 77 + 66 = 143 cm² |
|
| 28. |
123.A circle touches the sides BC, CA, AB of ÎABC at points D, E, F respectively.BD-x. CE-y. AF z. Prove that the area of ∆ABC=( xyz ( x+ y+z) |
| Answer» | |
| 29. |
किक गा ९0: १22 1.2५ नल sl79. दी हुई आकृति में, 3.45" के अन्दर स्थित कोई बिन्दु 0 है तथा 02दशाइए कि CE?) 042 + 082 + 02 002 - OF? — OFF = AF. + BD? *() 472 + BD2 + CE2 = 4E2 + CD? + BF? ! |
| Answer» | |
| 30. |
In figure, the incircle of AABC touches the sides BC, CA and AB at D, E and respectvely. ShoAF + BD + CE AE + BF + CD (Perimeter of ΔABC)A.that2 |
| Answer» | |
| 31. |
एन के जा कि RGNS T af T VSRS A TR V./ रा सख्याओं का योग 48 और उनका गुणवफल 432 है। संख्याएँ ज्ञात“ क्रीजिए।. QI G B Bl Bl s SRR RN e i, aa e el की T B s e Y |
|
Answer» Please like the solution 👍 ✔️👍 |
|
| 32. |
other triangle?21. D, E and F are the points on sides BC, CA and AB respectively of AABC5em,such that AD bisects LA, BE bisects ZB and CF bisects C. If ABBC-8 ern and CA-4 cm, determine AF, CE and BD. |
| Answer» | |
| 33. |
stations?A train runs at 45 km/h. How far does it go in 6 seconds?l af 48 km/h How long will it take to rea |
|
Answer» 45km/hrHence in m/sHence45*1000/60*60=12.5m/sHencespeed=12.5m/sIn 6 secondsdistance=speed*time=12.5*6=75m |
|
| 34. |
\lim _ { x \rightarrow 2 } \frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 4 } |
|
Answer» thnax |
|
| 35. |
af b |
|
Answer» ; (a+b)2= a2+ 2ab + b2; |
|
| 36. |
af the |
| Answer» | |
| 37. |
In a flat belt drive the initial tension is 2000 N. The coefficienfriction between the belt and the pulley is 0.3 and the angle of lap onthe smaller pulley is 150°. The smaller pulley has a radius of 200 mmand rotates at 500 rpm. Find the power transmitted by the belt. |
| Answer» | |
| 38. |
The sum of present ages of a father and his son is 50 yrs. After 5 yrs, the age of the father becomes thrice the age of his son. Find their present ages. |
| Answer» | |
| 39. |
The combined ages of a man and his son is 60 years. Twelve years ago, the father waslive times as old as his son. Find their present ages. |
|
Answer» Let father's age be “x” and son’s age be “y” A/q, current age of father and son is 60 years. I. E. x+y=60…..(i) 12 years ago, Father's age=(x-12) and son’s age=(y-12) And, father's age was 5 times of son’s age I. E. (x-12) = 5(y-12)…. (ii) = >x-6 = 5y-60 =>5y-x=54 Adding (i) and (ii) (y+x=60) +(5y-x=54) =>6y=114 =>y=19 So, son’s present age is 19 years and after 12 years his age will be (19+12)=31years. |
|
| 40. |
The combined ages of a man and his son is 60 years. Twelve years ago, the father wasfive times as old as his son. Find their present ages |
| Answer» | |
| 41. |
will be 9: 7. Find their present ages.2 Five years ago a man was seven times as old as his son. Five years hence, the father will bethree times as old as his son. Find their present ages.nrespnt ase. |
| Answer» | |
| 42. |
Using integration, find the area of the region bounded by the liney = 3x + 2, the x-axis and the ordinates x = -2 and x = 1. |
| Answer» | |
| 43. |
using integration, find the area of a region bounded by line Y-1=X,the x axis and the ordinates X=-2 X=3 |
| Answer» | |
| 44. |
4. Find the co-ordinates of the point where the lines \frac{x}{2}+\frac{y}{3}=5 intersects |
| Answer» | |
| 45. |
Find the co-ordinates of a point p on line x +y =-13, nearest to the cirdle x^2+y^2+4x+ 6y-5=0(A)(-6,-7)(B) (-15, 2)(C)(-5,-6)(D)(-7,-6) |
| Answer» | |
| 46. |
IU. The co-ordinates of A, B, C, D are (6, 3), 3, 5). (4,-2) and (r, 3z) respectivelytringleDBC/trianlgeAbc =1/2 find x |
| Answer» | |
| 47. |
The number of persons who visited the holy shrine of Mata Vaishno Devi during last twoconsecutive years was 13789509 and 12976498 respectively. How many persons visitedthe shrine during these two years? |
| Answer» | |
| 48. |
The lengths of two sides of a triangle are 8.3 cm and 5.9 cm. Betweenwhich two numbers will the length of third side lie?4. |
|
Answer» 8.3-5.9=2.48.3+5.9=14.2 |
|
| 49. |
1. The number of persons who visited the holy shrine of Mata Vaishno Devi during last twoconsecutive years was 13789509 and 12976498 respectively. How many persons visitedthe shrine during these two years? |
|
Answer» No. of persons who visited the holy shine in 2 years is=13789509+12976498=26766007 |
|
| 50. |
ti thedimensions of a voom are 8 m, & m and m. Find the cost of distorsfour walls at the rate of80 per square met re.i m uidi the aa of the four walls of a room whoge length is 10 rm, breadthwhĂźe washing the wall, if the rate of |
| Answer» | |