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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. |
b-a b-cac |
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| 2. |
② Find the value of the polynomial forIif p Cac) = x² + 2x + 5 |
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| 3. |
13.Give possible expression for the length and breadth of the rectanglewhose area is 6x^2+ 17x+5 |
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| 4. |
if a, b, c are positive real numbers such that (a+b-c)/c = (a-b+c)/b=(-a+b+c)/a, find the value of (a+b)(b+c)(c+a)/abc |
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| 5. |
13. A cylinder has a diameter of 2 cm and a heightof 1 cm. What is its surface area?cm(yellow)1 cm |
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Answer» Aurface area of cylinder=2πr(r+h)=2*(22/7)*1(1+1)=88/7 cm²=12.57 cm² |
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| 6. |
6. The height of a rectangular solid is 5 times itswidth and its length is 8 times its height. If thevolume of the wall is 102.4 cm3, find its length. |
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| 7. |
The value of\frac{5.71 \times 5.71 \times 5.71-2.79 \times 2.79 \times 2.79}{5.71 \times 5.71+5.71 \times 2.79+2.79 \times 2.79}in simplified form is(a) 8.5 (b) 8.6 (c) 2.82 d)2.92 |
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| 8. |
A , \text { if } 2 A - \left[ \begin{array} { c c } { 3 } & { - 1 } \\ { 1 } & { 2 } \\ { 0 } & { 5 } \end{array} \right] = \left[ \begin{array} { c c } { 1 } & { 5 } \\ { 3 } & { 2 } \\ { 0 } & { 1 } \end{array} \right] |
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| 9. |
23. If al-b3 = (a-b) (a² + ab + b), then the simplified form of |
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| 10. |
12) Concept of probability is developed by mathematician13) Simplified form of is14) Decimal form of is15) Biggest chord is100 |
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| 11. |
1.If 14 kg of pulses cost?441, what is the cost of 22 kg of pulses? |
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Answer» Cost 14kg pulse is ₹441 Cost of 1 kg pulse is ₹441/14 = ₹ 31.5 Cost of 22kg pulse is 22 × ₹31.5 = ₹693 Hit like and share this app |
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| 12. |
2. If 14kg of pulses cost 441. What is the cost of 22kg of pulses? |
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| 13. |
3 On 16 tes of diesel, a car runs 192 kmBau mom kil metres will it run on (i) 1 litre, (ii) 5 litres? |
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Answer» 16 litres of diesel a car runs 192 km=>For 1 litres= 192/16=12km=>For 5 litres= 12×5km=60km hit like if you find it useful |
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| 14. |
6. If A B: C 2:3:4, then the ratioA B CB C Aisequal to(a) 4:9:16(c) 8:9:12(b) 8:9:24(d) S:9:16 |
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| 15. |
Find the perimeter of a rectangle if its area is 195 cm' and breadth is 1 2 cm.Find the perimeter of a rectangula fold |
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Answer» Area = length × breadth195 cm^2 = length × 12 cmlength = 16.25 cm perimeter= 2(length + breadth) =2(16.25+12)cm =2 × 28.25 cm = 56.5 cm hit like if you find it useful |
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| 16. |
Give expression for the following:16 subtracted from m |
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Answer» 16 subtracted from mwill bem-16 thnkyuu😊 |
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| 17. |
Find the area bounded by the curve y=sinx between x=0 and x= 2π |
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| 18. |
Find the cost of whitewashinga rectangular wall length 25m and breath15m.If the cost of whitewashing 1m is rupees 120. |
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Answer» Area of the rectangular wall=25m ×15 m=375 m sq.Total cost of white washing the wall=375×120=Rs. 45,000 |
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| 19. |
. Diameter of the base of a cone is 10.5 cm and its slant height is 10cm. Find its curvesurface area. |
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| 20. |
erator is to maintain eatables kept inside at 9°C. If room temperature is 36'cte the coefficient of performance.Sut S to E to F12.10A refrige |
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| 21. |
c) Ifx =5 , find theii) (x + 스 |
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Answer» 2. use gm ans =2 |
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| 22. |
. Consecutive Odd Integers The sum of two consecu-tive odd integers is 96. Determine the numbers. |
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Answer» how did the the sum change from 96 to 94 |
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| 23. |
x-_ 25if 195Find k so that f (x) = j,x-5k,is continuous at x = 5.ifx=5 |
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Answer» thx very very much |
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| 24. |
ーが= (a-b)(a ÷b)1) y2-363)16a2-49b2(2) 25x2 -9(4) 72a2b2 8 |
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| 25. |
1. Diameter of the base of a cone is 10.5 em and its slant height is 10 cm. Find its curvedsurface area. |
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| 26. |
ter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curvesurface area. |
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| 27. |
4.Tim bought a box of chocolates for 650 and sold it to Tom at a profit of 75Find the selling price. |
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Answer» Cost price = 650Profit = 75Selling price = 650+75 =725 cost price =650profit =75selling price =cost price +profit =650+75 =725like my answer Solution:- Cost Price=₹650Profit=₹75Selling Price=?Selling Price=Cost Price+ProfitSelling Price=650+75Selling Price=₹725 is the best answer |
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| 28. |
1. Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curvedsurface area. |
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| 29. |
m of three Consecutive intes 1ssut, Pfind the integers |
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| 30. |
If x=2 and x² + y2 + 3xy = -5 then y=) |
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Answer» answery=3,3right ans like this y is 3 it is correct answer for question ifx =3then. y=3,3(substitute x=-2) (-2)² + y² + 3(-2)y = -54+y² -6y = -5y² -6y +9y²-6y +3²= 0 (y-3)²y-3=oy=3 ans y 3 |
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28. A man walks 35 km partly at the rate of 4 km an hour, andpartly at 5; if he had walked at 5 km an hour when he walked at 4,and vice versa, he would have covered two km more in the same time.Find the time he was walking |
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Answer» I am unable understand vyour explanation |
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| 32. |
0. If a person walks at 14 km/hr instead of 10 km/hrhe would have walked 20 km more. The actualdistance travelled by him is |
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Answer» Let the actual distance travelled bexkm. Then,x=x+ 201014 14x= 10x+ 200 4x= 200x= 50 km |
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| 33. |
3. John wanted to go for a swim. If he walked to Joe's house and then to theriver, it would be 5.935 km. If he walked straight to the river, it would be only4.8 km. How many more kilometers does John need to walk if he walks toJoe's house first? |
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Answer» 1.135kilometres does John need to walk if he walks to Joe's house first. |
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| 34. |
Thus, 9x2 + 49 y2 -58Ifx +--5, then find the value of the following :E 4. |
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Answer» Given : x + 1/x = 5 Squaring both sides (x + 1/x)² = 25 x² + 1/x² + 2 = 25 x² + 1/x² = 23 |
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| 35. |
91.En af : (x + 2y) (2x - y)(A) 2x2 + 5xy + 2y2 (B) 2x2 + 3xy - 2y2(C) x + xy + y2 (D) 2 + 4xy - y2 |
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Answer» (x + 2y)(2x - y) = 2x^2 - xy + 4xy - 2y^2 = 2x^2 + 3xy - 2y^2 (B) is correct option option b is the correct answer of the given question |
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| 36. |
What should be added to x2 + xy + y2 to obtain 2x2 + 3xy ? |
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Answer» To get the algebraic expression to be added, subtract (x2+ xy + y2) from (2x2+ 3xy)That is(2x2+ 3xy)– (x2+ xy + y2)=2x2+ 3xy – x2– xy – y2= x2+ 2xy–y2 Like if you find it useful |
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| 37. |
13. The equations of latus rectum of the ellipse9x2 +y2 36 are... |
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| 38. |
iii.. In an isosceles triangle, length of congruent sides in 13cm and its base is 10cm. Findthe distance between vertex opposite the base and the centroid. |
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Answer» Figure for the solution: |
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| 39. |
EXERCISE 16ATake three noncollinear points A, B and C on a page of your notebook. Join AB, BC and CA.What figure do you get?Name: (i) the side opposite to1.C(ii) the angle opposite to the side BC(iii) the vertex opposite to the side CA(iv) the side opposite to the vertex B |
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| 40. |
1. Find the curved surface area of a cone with base radius 525 emslant height 10 cm. |
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Answer» 1 metre = |
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| 41. |
radius 5.251. Find the curved surface area of a cone with baseslant height 10 cm. |
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| 42. |
Q.1A Solve the following subguestions. (any four)1) Observe the adjacent venn diagram and write the complement ofA12 e 18\6 |
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| 43. |
(i) 135 and 225(i) 196 and 38220(oor anu-Show that any positive odd integer is of the form 6q +1, or 6q + 3s some integer. |
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Answer» Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder. according to Euclid's division lemmaa=bq+r a=6q+r where , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5 but here,a=6q+1 & a=6q+3 & a=6q+5 are odd. |
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| 44. |
(u) 196 and 38220(m) 867 and 2552. Show that any positive odd integer is of the form 6q+1 or 6g+3, or q+5, where q issome integer |
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| 45. |
Finsamandommon dimmeof mA P.ame6 3nmspectivelyFirst term and common difference of an A.P. are 63 respecFind S27. |
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Answer» Givena=6n=27d=3S27=?n=27 SOLUTIONS27=(n/2){2a+(n-1)d}=(27/2){2(6)+(27-1)(3)}=(27/2){12+26×3}=(27/2)(12+78)=(27/2)(90)=13.5×90=1215 ANSWER: Sn=1215 |
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| 46. |
find maxima and minima of x^3-2x^2-4x-1. |
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Answer» since x³ has +ve coefficients so, when x→ ∞ , the function will tend to → ∞ when x→ -∞ , the function will tend to → -∞ so, maxima is ∞ and minimum is -∞ |
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| 47. |
0 135 and 225(ii) 196 and 38220(m) ora2. Show that any positive odd integer is of the form 6q+1or 69 +3, or 6+ 5, where 915 |
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Answer» 135,225; 135/5=27/3=9/3=3; 225/5=45/5=9/3=3; 5x5x3=25×3=75; ii)196/2=98/2=49/7=7; 38220/2=19110/2÷9555/5=1911/3=637 |
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| 48. |
The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone. |
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Answer» Answer:1:2Step-by-step explanation:Lateral Surface Area of cylinder:Radius = r.Height = h.Surface area = 2πrh Curved Surface Area of cone:Radius = rHeight = hSurface Area = πrl Given that their bases be the same.2πrh = πrl⇒ h/l = πr/2πr⇒ h/l = 1/2⇒ h : l = 1:2 Therefore, ratio of the height of the cylinder to the slant height = 1:2. Hope it helps! |
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| 49. |
2 What happens to the area of a rectangle when(a) Its length is double and breadth is halved? (b) Its length is double and breadth remain thesame ?(c) Its length and breadth both doubled ? |
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Answer» Since, we know area of a rectangle=length×breadth1)If its length is doubled and breadth is halved, the area remains same.2) If its length is doubled and breadth remains the same, then the area becomes twice that of the original one.3) If its length and breadth both are doubled, then its area becomes 4 times of the original one. |
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| 50. |
(4 (23) 9 3-4 |
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