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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. |
12 Find the values ofa+b \sqrt{15}=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}} |
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| 2. |
9x +5 8x-7 18x +11 54(xiv)XIV) .72814 |
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| 3. |
(i) x^3-3x^2-9x-5 |
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Answer» x^3-3x^2-9x-5=x^3+x^2-4x^2-4x-5x-5=x^2(x+1)-4x(x+1)-5(x+1)=(x+1)(x^2-4x-5)=(x+1)(x-5)(x+1)=(x+1)^2(x-5) nhi answer nhi hai hai |
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| 4. |
5) Find the equation ofa circle with centre at (3,-2) and radius 5. |
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Answer» (x-a)² + (y-b)² = r² a = 3, b = -2, r = 5 (x-3)²+(y+2)³ = 5² Like my answer if you find it useful! |
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| 5. |
p(x)=4x^2+9x+5 |
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| 6. |
factorise x^3 - 3x^2 - 9x - 5 |
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Answer» thanks |
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| 7. |
Prove that the points (-7,-3), (5, 10), (15, 8) and (3, -5) taken in order are the conersofa parallelogram |
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| 8. |
ă3Evaluate 1 12 3 1] |
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Answer» It will be [ 6+9+3,2+3+1,6+9+3][18,6,18] |
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| 9. |
Calculate x in each of the following fi3 |
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Answer» Thank you |
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| 10. |
x^2-2x+1=0,the calculate the value of x? |
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Answer» X=1 is the right answer Given:x²-2x+1=0sum =-2; product=1number=-1,-1x²-x-x+1=0x(x-1)-1(x-1)=0(x-1)(x-1)=0Thus x=1,1 |
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| 11. |
1.Evaluate(1) 3(1) (-4) |
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Answer» 1. 3 power-2 = 1/3 power 2=1/92. -4 power -2 = -1/4 power 2= -1/16 3. 1/2 power -5 = 2 power 5 = 2*2*2*2*2=32 i)3^-2=1/3^2=1/9; ii)(-4)^-2=1/(-4)^2=1/16; iii)(1/2)^-5=(1/2^5)=1/32 1=1/3²=1/92= -1/4²=1/163=(2) power 5=2*2*2*2*2= 32 |
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| 12. |
Evaluate:1. 576 |
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| 13. |
If the bowl is half filled with water, then find the quantity of water in litres in a hemispherical bowl of radius21 cm.4. |
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Answer» Volume of hemisphere= 2/3πr^3 |
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| 14. |
(27) Find all the zeros of the polynomial 23-9x'+5+ 3x - 11f two of its zeros are(2+3)and(2-3) |
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Answer» X = 2 + √3 and x = 2 - √3 are Zeros of p ( x ) ( x - 2 - √3 ) ( x - 2 + √3 ) ( using identity ( a - b ) ( a +b ) = a² - b² then, ( x - 2 )² - ( √3 )² x² + 4 - 4x - 3 x² + 1 - 4x .... ( i ) When we divide p ( x ) by ( i ) we get the other zeros Other zeros are :- x = 1 and x = -1/2 |
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| 15. |
) 23. (150 ŕ¤ŕ¤ž 37%) (1000 1 -05%)i g R |
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Answer» answers is 55150 ka 37% 55.5 1000 ka .05% .0555.5-0.5=55 |
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| 16. |
Q10)for the following G.P.findt, |
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Answer» a=√3r=1/√3÷√3r=1/3hencenth term is ar^n-1=√3(3)^n-1 |
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| 17. |
Q10. Ifx + = 3, calculate x + and x + |
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| 18. |
Q10.What is the value of2 |
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Answer» 5/3+5/3+5/3=15/3=5 |
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| 19. |
22. A hemispherical bowl has a radius of 3.5 cm.\begin{array} { l } { \text { A hemispherical bowl has a radius of } 3.5 \mathrm { cm } \text { . } } \\ { \text { What would be the volume of water it would } } \\ { \text { contain? } } \end{array} |
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Answer» radius =3.5 c.mvolume = 2/3×πr^3v= 2/3×3.14×(3.5)^3 = (2×3.14×42.875)/3 =(2×134.6275)/3 =269.255/3 =89.752volume of water = 89.752 c.m^3 |
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| 20. |
11-1Q10. Evaluate [(1/3)1-(1/4)1 |
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Answer» thanks |
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| 21. |
Q10: Find the value of Matrix.4 25 4 |
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Answer» 16-106 answer of matrix |
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| 22. |
< 90°, A > B, find A and B.21. एक वृत्त की प| क्षेत्रफल ज्ञात कीजिए।The circumferencdiameter by 33.वृत्त की परिधि व्यास से 33.6 cm अधिक है। वृत्त का3circumference of a circle exceeds theneter by 33.6 cm. Find the area of the circle.3/(Set : D) । |
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Answer» ??????????????????????????????????????????? We know that circumference of a circle = 2pir. We know that diameter = 2r. Given circumference of a circle exceeds diameter by 16.8cm. 2pir - 2r = 33.6 2r(pi - 1) = 33.6 2r(22/7 - 1) = 33.6 2r(22 - 7/7) = 33.6 2r(15/7) = 33.6 30r = 33.6* 7 30r = 235.2 r =235.2/30 r = 7.84 cm. |
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| 23. |
The ordinate ofa point A on the y-axis is 5 and B has coordinates(-3. I, then find the length of AB. |
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Answer» A is on y axis and it's ordinate is 5So coordinates of A is (0,5)and coordinates of B is (-3,1) Length of AB can be found out by using the distance formula = √【(x1 -x2)^2 + (y1 -y2)^2】= √【(-3-0)^2 + (1-5)^2】=√【9 + 16】=√25=5 So length of AB is 5 units.. |
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| 24. |
The height of a cylinder 18 cm and radius is 10.5 cm. Find :(a) Volume of cylinder(b) Curved surface of cylinder(c) Total surface area of cylinder11u rnom l'ind the radius of |
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| 25. |
\left( \sqrt { 27 } - \frac { 9 } { \sqrt { 3 } } - 4 \sqrt { \frac { 1 } { 9 } } + 6 \sqrt { \frac { 1 } { 27 } } \right) |
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Answer» thanks |
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| 26. |
Example 4 : do your elfThe length of a line segment is 15 units. If one point is (14is 2, find the ordinate of the other so1stIe point is (14, 4) and the abscissa of the othber point[Ans : Ordinate13 or-51 |
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Answer» Given line segment AB = 15 units A (14, 4) and B (2, y) 15=√(14-2)^2+(4-y)^2225=144+(4-y)^2(4-y)^2=81(4-y)=+-9y=13 or -5 thank you so much |
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| 27. |
\left. \begin{array} { l l } { ( a ) 4 } & { ( b ) 27 } \\ { ( c ) } & { 4 / 27 } & { ( d ) 1 / 27 } \end{array} \right. |
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| 28. |
9.33- 27 1then x -y is given by273x 23(a)-1(b) 1(c) 0 |
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| 29. |
0 90(1) 1501000Devika has a square piece of cloth of area 9 m and she wants to make16 square-shaped scarves of equal size out of it. What should possibly be thelength of the side of the scarf that can be made out of this piece? |
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| 30. |
8. Which of the following pairs of rational numbers are equivalent?8-621 1418624' 16 |
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Answer» ii and iii are the pairs of equivalent 3 otion is the right answer |
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| 31. |
\left. \begin{array} { l } { \text { Which of } 123 ^ { 2 } , 77 ^ { 2 } , 82 } \\ { 161 ^ { 2 } , 109 ^ { 2 } \text { would end wit } } \end{array} \right. |
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Answer» 161 161²and 109² are the correct answer |
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| 32. |
123 and 2- 2 |
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Answer» 12÷3=4 and 8÷2=4 here ,3 1 sa 3 3 2 sa 63 3 sa 93 4 sa 12 there for 2 4 sa 8 |
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| 33. |
21. Two supplementary angles differ by 50 degree. Find the measure of each angle. |
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Answer» suppose angles are x and x+50now they are supplementary so x+x+50=90so x=20so angles are 20 and 70 |
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| 34. |
6In what ratio are the volumes of a spherand a cone, if each has the same diamesame height ?e, a cylinderneter and the |
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Answer» There is no option like this Please send another answer |
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| 35. |
का! आर4204 के. अरद्धक परस्पर 0 बिन्दु पर प्रतिच्छेद करते हैं,1£BOC = 90° + 5 A, A |
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| 36. |
3.The point Pla,bilies in the IV quadrant, Find which of aor b is greater? |
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Answer» For a point in the fourth quadrant, the X coordinate is positive and y coordinate is negative. So, here a is greater than b. Please hit the like button if this helped you |
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| 37. |
two supplementary angles differ by 10x. if acute is 13x find the obtuse angle |
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Answer» Acute angle =13x Obtuse angle =13x+10x =23x Sum of supplementary angles is 180 => 23x +13x =180 =>36x =180 => x =5 Therefore, obtuse angle = 23x =23*5 =115 degrees |
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| 38. |
(i)What is the form of co-ordinates of a point on the X-axis? |
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Answer» form of coordinates on x axis is (a, 0) |
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| 39. |
J8. Pla, b) is the mid-point of a line segment between axes. Show that equationeof the line is +42 |
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| 40. |
Activity I : There are instructions written near the arrows in the following diagcam. Futhis information form suitable equations and write in the boxes indicated by aows Seiceuany two equations from these boxes and find their solutions. Also verify the solutcBy taking one pair of equations at a time, how many pairs can be formed 7 Discus thesolutions for these pairs.Sum of my lengthand breadth is 36If the breadth issubtracted fromtwice the length, theswer is 27 I am a rectangle. Mylength is x units andbreadth is y units My breadth is2 times of thelengthThe differencebetween my lengthand breadth is 6 units â |
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Answer» hit like if you find it useful |
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| 41. |
Find the value ofa, for which point P2) is the mid-point of the line segment joining thepoints Q-5,4) and R(1,0) |
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Answer» Like if you find it useful |
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| 42. |
The product of two numbers is 2160 and their HCF is 12 How many such pairs of numbers can be possibly formed? |
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| 43. |
Which of the following pairs of ratios is equivalent ?(a) 1 : 2,4:6How many triangles are formed by the diagonals drawn from(b) 3:2,9:6(d) 5:4, 15 16 |
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Answer» b) is the correct option. 3 : 2 = (3*3) : (2*3)= 9 : 6 3 : 2 = 9 : 6 PLEASE HIT THE LIKE BUTTON! |
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| 44. |
123+56 |
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Answer» the answer of your question is 179 |
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| 45. |
532O,076543211232-3 |
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Answer» It is a line whose slope is -1 |
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| 46. |
(0 56 + 84 ŕ¤ŕ¤˛... |
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Answer» hit like if you find it useful 15pq(9q+25p) |
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| 47. |
e10. How many pairs of cranial nerves and spinal nerves are there in man ? What is the nature of different(44 Âź 2)cranial nerves ? |
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Answer» 12 cranial nerve- S:sensory (olfactory nerve - CN I) S:sensory (optic nerve - CN II) M:motor (oculomotor nerve - CN III) M:motor (trochlear nerve - CN IV) B:both (trigeminal nerve - CN V) M:motor (abducens nerve - CN VI) B:both (facial nerve - CN VII) S:sensory (vestibulocochlear nerve - CN VIII) B:both (glossopharyngeal nerve CN IX) B:both (vagus nerve - CN X) M:motor (spinal accessory nerve - CN XI) M:motor (hypoglossal nerve - CN XII) |
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| 48. |
. The slant heightt and base diameter of a conical tomb are 25 m and 14 m respectivelydiameFind the cost of white-washing its curved surface at the rate of210 per 100 me |
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| 49. |
e ne Sspends 6. If twice of the money left with him l12 A ma nau86, find xa is four times as old as his son. After 20 years, he will be twice as old as his13. A mat hat time. Find their present ages.son |
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| 50. |
Find the co-ordinates of a point on the liney3 0 whose distanee from |
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