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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. |
\begin{array} { l } { \text { Three solid glass balls of radii } r , 6 \text { and } 8 \mathrm { cm } \text { are } } \\ { \text { melted into a solid sphere of radius } 9 \mathrm { cm } \text { . Determine } } \\ { \text { the value of } r . } \end{array} |
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| 2. |
edrcCaly and graphicallyThe coach of a cricket team buys 3 bats and 6 balls for R 3900. Later, she buys anotherbat and 3 more balls of the same kind forapd geometrically2.1300. Represent this situation algebraically |
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| 3. |
log a blog , c if and only if bc1.3 Examples on LogarithmEx. 1.3.1Use logarithms to solve the following equations(i) 10- 5Soln.:and k be any Given, 10 5 |
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Answer» Take log both sides.Log(10^x) = log 5X log 10 = log5X = log 5. |
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| 4. |
BORLD BIG MOSQUE |
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Answer» Masjid al-Haramis the largest mosque in the world. Located in the city of Mecca, it surrounds the Kaaba, the place which Muslims worldwide turn towards while offering daily prayers and is Islam's holiest place. The mosque is also known as the Grand Mosque. majid-al-haram is the biggest mosque in the world masji al haram is the world largest mosque Jama Masjid is the answee |
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| 5. |
d3-|dot=at big |
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Answer» V3-1 / V3 + 1 x V3+1/ V3+1 = (V3-1)(V3-1)/ ( V3)^2 - (1)^2 = 3+1+ 2V3/3-1 = 4 + 2V3/2 = 2( 2+ V3)/2= 2 + V3 = a + bV3; a = 2 ; B = -1 |
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| 6. |
Ex. 11: For what value of k, the functionk+x. for= 4x + 3 forx<121. is continuous at x=17 |
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| 7. |
Thirty women werminute were recordfor these womenmen were examined in a hospital by a doctor and the number of heart beats perere recorded and summarised as follows. Find the mean heart beats per minutese women, choosing a suitable methodher of heart beats 65-6868-7171-7474-7777-80 | 80-83 83-86per minuteNumber of women74il market fruit yendors were selline mange kent in nacking hoyes These |
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| 8. |
emd)ofthrite the formula for finding volume of a frustum of a cone |
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| 9. |
Turty women werdsinute were recordefor these womenwere examined in a hospital by a doctor and the number of heart beats peracorded and summarised as follows. Find the mean heart beats per minutewomen, choosing a suitable method.of heart beats 65-6868-71 71-74Number of heartper minute74-7777-80 80-83 83-86Number of women38til market fruit vendors were |
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| 10. |
8) Draw an International Place Value Chart. |
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| 11. |
A 8 digit number starts with.......place in the international system |
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Answer» Ten million International place value system 10000000 ten million |
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| 12. |
Are triangles ABC and FED similar? |
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| 13. |
A train running at the speed of 80km/h 45minuties. how long it will take to cover the same distance if its speed is increased by 10km/h |
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| 14. |
antonyms of big |
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Answer» small is the opposite of big small is antonyms of big tiny is also correct answer small is the right answer |
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| 15. |
If xyz" = k, show that, at x=y=z,22(Karay =-(x log ex)" 1. |
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Answer» First, recall that (d/dt) t^t = t^t (1 + ln t) via logarithmic differentiation. Let y = t^t.==> ln y = t ln t. Differentiate both sides:(1/y) dy/dt = 1 + ln t==> dy/dt = y(1 + ln t) = t^t (1 + ln t).----------------Remembering that z is a function of x, differentiate both sides with respect to x:(x^x (1 + ln x)) * y^y * z^z + x^x y^y * z^z (1 + ln z) ∂z/∂x = 0==> x^x y^y z^z (1 + ln z) ∂z/∂x = -x^x (1 + ln x) y^y z^z==> (1 + ln z) ∂z/∂x = -(1 + ln x). Similarly, (1 + ln z) ∂z/∂y = -(1 + ln y). Differentiate both sides of (1 + ln z) ∂z/∂y = -(1 + ln y) with respect to x:(1/z) ∂z/∂x * ∂z/∂y + (1 + ln z) * ∂²z/∂x∂y = 0==> (1 + ln z) ∂²z/∂x∂y = (-1/z) [-(1 + ln x)/(1 + ln z)] * [-(1 + ln y)/(1 + ln z)]==> ∂²z/∂x∂y = -(1 + ln x)(1 + ln y)/ [z(1 + ln z)^3]. Letting x = y = z yields∂²z/∂x∂y = -(1 + ln x)(1 + ln x)/ [x(1 + ln x)^3].............= -1/[x(1 + ln x)]. |
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| 16. |
Find the area of one face of a cube if thvolume of a cube is 10648 cm3? |
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Answer» Volume of cube = (side)³ (side)³ = 10648 side = cube root of (10648) = 22 cm So, area of one face = side² = 22² cm² = 484 cm2 |
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| 17. |
6. A shopkeeper labels the price of article 20% abovethe cost price. If he allows Rs.31.20 off on a bill ofRs.312, find his profit per cent on the article?1.8 2.123 3. 114.8% |
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Answer» 2 answer=49 4 answer =25 Let the CP = 100 Marked price = 120 Discount = 312/31.2 × 1/100 = 10% = 12 SP = 120 – 12 = 108 Profit% = ( 108 – 100 )% = 8% Let the CP = 100 rsMarked price = 120 rs Discount = 312/31.2 × 1/100 = 10% = 12 rs SP = 120 – 12 = 108rs Profit% = 108 – 100 = 8% |
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| 18. |
60) The price of an article is Rs. 65. It was sold at a discountof 15%, the selling price of the article isA) Rs.55.6B) Rs. 56C) Rs. 56.6D) Rs.55.25 |
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| 19. |
Insert commas according to the Indian and International Placewrite the numbers in words.a. 46158b. 714290c. 587984d. 21697 |
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| 20. |
Simplify : (\sqrt[5]{7})^{5} |
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| 21. |
3, The area of a face of a cube is 25face of a cube is 256 cm. Find the length of one side, total surfacc area and the volumeof the cube. |
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Answer» Lateral Surface Area of cube=256 cm²4(side)² =256side²=256÷4side²=64side=√64=8 cmVolume of the cube=(side)³=8×8×8=512 cm³. |
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| 22. |
pler Simplify2 3 (-65 7 5+ () + (- 3) |
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| 23. |
2. The total sunaco llthe cube3. The area of a face of a cube is 256 cm2. Find the length of one side, total surface area ath of one side, total surface area and the volumeof the cube.h-1 4 cm 1s melted and recast into a rectangular |
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| 24. |
se the given figure tofind:17(i) sin xo(ii) cos yo(İİİ) 3 tan x°-2 sin y° + 4 cos yo6 |
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| 25. |
area of the filed23. Pind the area of the parallelogran ABCD given in the adjoining figure Also, fedaltitude corresponding to side AB12 cm2P17 cm |
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| 26. |
8 It is given that 4 XYZ-64" and XY is prodiuced to point P.Aray YO bisects 2ZDnrw a figure from the given information. Find Xyo and reflex OYP |
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| 27. |
EXERCISE 12.5Find the values of x and y in the figures given below30°0yo110Jx85 |
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Answer» i)when opposite are equal then opposite angle are equal.So, x = yx + x + 30° = 180°2x = 150°x = 150/2 = 75°x = 75°So, y = 75° also. ii) Given quadrilateral is cyclic so opposite angle have sum 180°. x + 110° = 180°x = 70° y + 85° = 180°y = 180° - 85°y = 95° |
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| 28. |
2) Kavya purchased a sofaset for 18,500 and spentマ1500 for repairsShe sold it suffering 8% loss. Find the S.P of the sofaset. |
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| 29. |
\begin{array}{l}{\text { (ii) } 3 x+4 y=10 \text { 3it } 2 x-2 y=2} \\ {\text { (iv) } \frac{x}{2}+\frac{2 y}{3}=-13 \pi x-\frac{y}{3}=3}\end{array} |
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| 30. |
ewrite the following numerals with proper commas, using) 35684129(b) 50968302 |
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Answer» 1)3,56,84,1292)5,09,68,302 1) 3,56,84,1292) 5,09,68, 302 |
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| 31. |
l Example 3.2.|IFind the value of the polynomial2x3 -13x2 +17x +12 at the following values ofx:(i) x 2(iii) x = 0(ii) x =-3(iv) x =-1anco for each of the following |
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Answer» thanks |
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| 32. |
Simplify 57 |
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Answer» 21-10/35=11/35 is the right answer 11/35 is the right answer the correct answer is 0.34 answer is 0.314285714 the answer of the question is 11/35 3/5-2/7=21-10/35=11/35 or=0.314 |
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| 33. |
When sold at a profit of 6%, an article fetches Rs. 715 more than when itsold at a loss of 5%. Find its cost price. |
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Answer» Let the cost price is x6% gain = (100+6)/1005% loss = (100-5)/100(106/100)x - (95/100) x = 715 1.06x-0.95x= 7150.11x = 715x= 715/0.11x= 6500cost price = 6500 |
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| 34. |
Simplify [(5/7)-1 - 1/2] -3/5 |
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Answer» CAN YOU SEND ME QUESTION PAPER OF 80 MARKS MATHS ....REPLY BY GIVING WHATSAPP NO. 5/7-1-1/2-3/5 = 5/7-3/2-3/5= (50-105-42)/70= -97/70 |
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| 35. |
By simplify :5- V5 |
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| 36. |
41. Simplify: 5 |
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Answer» Thanks you h5 |
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| 37. |
what is ment by OEQ |
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Answer» Obligatory Exercise Questionnaire is full form of OEQ.As you are tagged in math subject it is possibly QED is anabbreviationof the Latin words "Quod Erat Demonstrandum" which loosely translated means "that which was to be demonstrated". |
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| 38. |
ne neg ment Join inPB |
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Answer» it is given that the line segment joining A{-1,3} and B{9,8}in the ratio k:1 then____ X{9k-1/k+1}, Y{8k+3/k+1} x-y+2=0 9k-1/k+1-8k+3/k+1+2=0 9k-1-8k-3+2k+2=0 3k-2=0 k=2/3 |
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| 39. |
41 An article costing10 was sold forQ41 äšäš104.5. How much discount was offered?(A) 490(C) 6%(B) 590(D) 7%iuuionted at compound04 |
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| 40. |
3.A trader collects GST at 12% on an article!costing1000. What is his output tax? |
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| 41. |
Additional expenses of ₹50 occured on an article costing ₹550.findS.P if it is sold suffering 6% loss. |
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| 42. |
Pagesue the equation Ă +3= 10and state Euclid's axiom use. |
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Answer» Given:x+3=10x=10-3=7 Euclid's axioms are any of the five axioms that are generally recognized as the basis for Euclidean geometry Euclid's Axioms: *Things which are equal to the same thing are also equal to one another. *If equals be added to equals, the wholes are equal. |
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| 43. |
(a) Simplify 5+4x3-94 |
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Answer» 5+4*3-9÷4=5+12-9/4=17-9/4=68-9/4=59/4 |
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| 44. |
४०१४, ० 7११७: जब के विवि लरनालेके केक केक करके १ कक केक किक.09£500 ,pgs00PSTIS ~ geTs—his|lb DI bk 4 |
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Answer» =Cos(90-54) /cos54 - sin36/ sin(90-36)=Sin36 /Cos54 - Sin36/ Cos54=0 |
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| 45. |
5) Factori : |
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| 46. |
2an+3 by = 9+26 ; 392 42 by = 298 +6some by cross multiplication method |
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Answer» 2ax + 3by = a + 2b⇒2ax = a+2b – 3by⇒x = (a+2b-3by) / 2a Put x in the second equation3ax + 2by = 2a+b⇒ 3a((a+2b-3by) / 2a) + 2by = 2a+b By solving it, we get y = (4b-a)/5bx = (a+2b-3by) / 2a x = (4a-b)/5a |
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| 47. |
108. How many numbers are coprime to 100 and smaller, then 100? |
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| 48. |
Three congruent circles with centres A, B and C and radius 5cm each touch each other externally inpoints D, E, F, Find: i) What is the perimeter of AABC. ii) What is the length of side DE of ADEF |
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Answer» This can done by angle sum property=180 |
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| 49. |
Find the [HCF x LCM] for the numbers 100 and 190. |
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Answer» HCF×LCM=product of 2 no.sHCF×LCM=100×190=19000 |
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| 50. |
The angle measurements in the diagram are represented by the following expressions.Solve for z and then find the measure ofor 4 |
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