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. |
The area of an equilateral triangle with side under root 3 by 4 |
|
Answer» Step-by-step explanation: Brainly.in What is your question? 1 Primary SchoolMath 5 points Prove that area of equilateral triangle is root 3 by 4 into SIDE square Ask for DETAILS Follow Report by Nishantjha 27.12.2017 Answers learningsonitemp learningsonitemp Helping Hand Answer: Proof: Step 1: Since all the 3 sides of the triangle are same, AB = BC = CA = a Step 2: Find the altitude of the △ABC. DRAW a perpendicular from point A to base BC, AD ⊥ BC By using PYTHAGORAS theorem In △ ADC h2 = AC2 - DC2 = a2 - (a2)2 [Because, DC = a2 ] = a2 - a24 h = 3√a2 Step 3: We know that, Area of a triangle = 12 * Base * Height = 12 * a * 3√a2 = 3√4a2 The area of a equilateral triangle = 3√4a2. |
|
| 2. |
A vessel is in the form of an inverted cone its height is 11 cm and the radius of its top which is open is 2.5 cm It is filled with water up to the Rim when lead shotseach of which is spear of radius 0.25 CM are dropped Into The vessel 2/5of water flows out find the number of lead shots dropped Into The vessel |
|
Answer» Step-by-step EXPLANATION: R=2.5 H=11 r=0.25 Volume of lead shots=Vol of WATER lost Volume of water lost =2/5Volume of water in cone •Volume of water lost=2/5(1/3×22/7×R^2×H) = 28.809 Vol of 1 lead shot=4/3×22/7×r^3 =0.065 •No of cones=Vol.of water lost/Vol.of 1 lead shot =28.809/0.065 =480 |
|
| 3. |
how many metres of carpet 63 cm wide will be required to cover the floor of a room 14 metres by 9 metre |
|
Answer» Gzhýqho you have not MENTIONED the LENGTH of the carpet Step-by-step EXPLANATION: |
|
| 5. |
Collect the temparature of four metro cities from 5th to 11th may 2019 and find the difference between each cities |
|
Answer» Answer: Mumbai As of now the MAXIMUM temperature over Mumbai is 34°C whereas the minimum is at 20°C. But, TEMPERATURES of Mumbai will see a significant increase. This change in mercury is expected due to change in wind direction. Northwestern winds which were keeping the temperatures on the cooler SIDE will be replaces by northeastern winds will increase the temperature. These winds are coming from West Madhya PRADESH and Gujaratwhere temperatures are already high. Read More: Scorching summer heat to VISIT Mumbai, maximums to rise signific |
|
| 7. |
If the perimeter of triangle is 26 and 2 sides of triangle is 6 and 12 find the area of triangle |
|
Answer» Step-by-step explanation: 26=6+12+x x=26-18 x=8 s=26/2=13 |
|
| 8. |
Show that 3 multiply 7 multiply 13 multiply 23+23 is a composite number |
|
Answer» Answer: 3×7=21×13=273×(23+23)=273×36=9820 |
|
| 9. |
Sum of n terms of the AP√3,√12,√27 is? |
|
Answer» √3,√12,√27 √3,√4×3,√9×3 √3, 2√3 ,3√3 a=√3 d=√3 Sn=2a+(n-1)d =2×√3 + (n-1)√3 =2√3 +n√3 -√3 =n√3+√3 =(n+1)√3 |
|
| 11. |
4 root 3+7root12-2root75+5root27 |
|
Answer» Answer: hope it HELPS you please mark it as BRAINLIEST and FOLLOW me |
|
| 12. |
Intigration of 1+sin x /dx |
|
Answer» Step-by-step explanation: INTEGRATION of sin(x) is -cos(x) and 1 is constant so the answer is: -cos(x) + 1 |
|
| 13. |
Cur answers.Which of following numbers are perfect squares?(a) 12(b) 16(c) 32(d) 38letDethAQA |
|
Answer» (B) Step-by-step explanation: 16 is the CORRECT answer |
|
| 14. |
What is 7 percent equal to? |
|
Answer» Step-by-step explanation: |
|
| 15. |
Tan60*sin30*cos120*cosec45*=? |
|
Answer» sorry this QUESTION is not in my SYLLABUS so I can't GIVE U answer of this question |
|
| 17. |
Multiply 8/13 by the reciprocal of -17/26 |
|
Answer» RECIPROCAL of -17/26=-26/17 8/13×-26/17 =-208/221 hope it HELPS you please mark it as BRAINLIEST and FOLLOW me |
|
| 18. |
The weight of 30 students of a class are 50,49,45,49,49,50,50,54,55,44,44,42,44,56,57,49,49,42,41,50,50,50,57,45,45,45,50,54,43,and 49 |
|
Answer» Answer: |
|
| 19. |
Pls public 24 Q Ka i) aur iii) Karke do jaldi urgent!!!!!! Step by step karna |
|
Answer» Answer: o HELLO Esme 24 QUESTION TOH hai hi nahi to KESE solve kar de |
|
| 20. |
(v) 43x + 67y=-2467x + 43y= 24 |
|
Answer» Answer: Step-by-step explanation: 43x+67y=-24..... 1st 67x+43y=24 ........2nd Multiply 1 st EQUATION by 67 and 2 ND by 43 then we get, 2881x+4489y=-1608 2881x+1849y=1512 - - - ___________________ 2640y=-3120 ______________ Y=-1.181 Now we have to find out x then PUT this value of y in 1 st equation then we get, 43x+67(-1.181)=-24 43x-79.127=-24 43x=106 X=1.28 |
|
| 21. |
__(५+५+1241-५४-1) - ----- 28 4.(ब) + (८:3। J६५ - वि + (219) ४५ ।५० |
|
Answer» <STRONG>Step-by-step EXPLANATION: but I have a very strong RELATIONSHIP between |
|
| 22. |
Show that the number 7n cannot end with digit zero for natural number |
|
Answer» Step-by-step EXPLANATION: |
|
| 23. |
When i am walking . i saw a person is laying down and get an accidentcomplete this |
|
Answer» REFER to the ATTACHMENTS |
|
| 24. |
Find the value of 'a', if(x+a) is a factor of the polynomial x^3+ ax^2- 2x+a+4 |
|
Answer» x+a is the factor of x+a = 0 x = -a When we PUT VALUE '-a' at the PLACE of 'x' we get, THEREFORE the value of 'a' is -3/4 |
|
| 25. |
12+(3-4)×34 givee me answer plzzz |
|
Answer» Answer: 22 Step-by-step explanation: 12+(3-4)×34=12-34=-22 |
|
| 26. |
Solve 105 cubewith formula a plus b cube |
|
Answer» Answer: Step-by-step EXPLANATION: Given that ; (105)³ It can be WRITTEN as ; (100 + 5)³ Using identity here ;
⇒ (100 + 5)³ ⇒ (100)³ + (5)³ + 3 * 100 * 5 (100 + 5) ⇒ 1,000,000 + 125 + 1500 * 105 ⇒ 1,000,125 + 157,500 ⇒ 1,157,625 Hence, the answer is 1,157,625. |
|
| 27. |
Find two rational numbers between 5/7 and 8/9 |
|
Answer» FIRST we can CONVERT it in SIMPLER FORM 5/7= 0.71 8/9=0.88 |
|
| 28. |
A man brought pencils at rate of 6 for rs 4 and sold them at the rate of 4 for rs 6.% gain in the transaction is?? |
| Answer» | |
| 29. |
Calculate speed if distance is 35km in 30 minutes |
|
Answer» EXPLAINED CLEARLY IN THE PICTURE PLS MARK AS BRAINLIEST |
|
| 30. |
The graph of y = f ( x) is given in the adjoining figure .what is the number of zeroes of f (x)? With answer |
|
Answer» Where is the FIGURE?... |
|
| 31. |
X+1÷x=3,x≠o using quadratic formula |
|
Answer» Answer: Step-by-step EXPLANATION: GIVEN that ; On solving the problem, we get - Now, we got a quadratic equation, on COMPARING the given equation with ax² + bx + C = 0, we get -
Discriminant = b² - 4ac⇒ D = (-3)² - 4 * 1 * 1 ⇒ D = 9 - 4 ⇒ D = 5 Therefore, |
|
| 32. |
4 groups of 6 apples make groups of 3 apples |
|
Answer» Answer: 8 groups Step-by-step explanation: group =4 apples =6 |
|
| 33. |
Calculate the equilibrium/stationary state, to two decimal places, of the difference equation |
|
Answer» Step-by-step explanation: What is the solution of the logistic equation when r PASSES through the value 3? We know from the previous section that when 3 < r ≤ 4 the fixed points x ∗ = 0 and x ∗ = (r − 1) /r are both unstable. So the solution isn’t a period-1 solution. In exploring the behaviour of the logistic map over the range 3 < r ≤ 4 it is useful to INTRODUCE the following notation for the iterative procedure: X1 = f (x0) (47) x2 = f (x1) = f (f (x1)) = f 2 (x0) (48) . . . un =f (xn−1) =f (f (xn−2)) = f n (x0) (49) Figure 7 shows an example of iterations of the logistic map, starting from the initial value x0 = 0.7, with the parameter choice r = 3.4. The solution is converging to a sequence p, q, p, q, p, . . ., where ✞ ✝ ☎ ✆ f(p) = and ✞ ✝ ☎ ✆ f(q) = . This is a ✞ ✝ ☎ ✆solution. Note th 64 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0 0.2 0.4 0.6 0.8 1 Population at generation (t+1) Population at generation (t) y=x y=f(x) y=f(f(x)) O O O A B C Figure 8: Second iteration xn+2 = f 2 (xn) as a function of xn for the logistic map when r = 3.18. The dotted line reproduces the first iteration curve of xn+1 as a function of xn; it passes through the origin and B, the unstable period-1 steady states. ✞ ✝ ☎ ✆ f 2 (p) = and ✞ ✝ ☎ ✆ f 2 (q) = . Another way to say this is that p and q are fixed points of the map ✞ ✝ ☎ ✆. Definition 2 (Period-2 solution) A period-2 solution is a pair x ∗ 0 , x∗ 1 with f (x ∗ 0 ) = x ∗ 1 and f (x ∗ 1 ) = x ∗ 2 but x ∗ 0 6= x ∗ 1 . For the logistic model (16) we have xn+1 = rxn (1 − xn) (50) xn+2 = rxn+1 (1 − xn+1) (51) = (52) We now look at the second iteration (52) and ask if it has any fixed points, i.e. are there any values x ∗ 2 for which xn+2 = xn = x ∗ 2 ? The function xn+2 = f (xn) is shown in figure 8. Question 18 How many fixed points does the map xn+2 = f 2 (xn) have in figure 8? Fixed points of the map xn+2 = f 2 (xn) satisfy the equation x ∗ 2 = f 2 (x ∗ 2 ), (53) x ∗ 2 = , (54) 0 = x ∗ 2 {r [r (1 − x ∗ 2 )] [1 − rx∗ 2 (1 − x ∗ 2 )] − 1} . (55) Fixed points of the map xn+2 = f 2 (xt) OBVIOUSLY include fixed points of the map ✞ ✝ ☎ ✆. Thus two factors of equation (55) are ✞ ✝ ☎ ✆and ✞ ✝ ☎ ✆. Using this knowledge equation (55) can be factored x ∗ 2 [rx∗ 2 − (r − 1)] h r 2x ∗ 2 2 − r (r + 1) x ∗ 2 + (r + 1)i = |
|
| 34. |
By selling a towel 126.90 a draper loses 6% for how much should he sell towel to gain 4% |
Answer» The selling PRICE is Rs.140.4.Step-by-step explanation: GIVEN : By selling a towel 126.90 a draper loses 6%. To find : How much should he SELL towel to GAIN 4% ? Solution : The selling price is SP=Rs.126.90 The loss% is L%=6% The cost price is The cost price is Rs.135 Now, there is a gain % = 4% The selling price is given by, The selling price is Rs.140.4. #Learn more 4 towels cost 288 rupees then 10 towels cost how much |
|
| 35. |
From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?a.3720b.3890c.3520d.3600 |
| Answer» | |
| 36. |
If the lines xsin^2a + are concurrent where a b c are angles of a triangle |
|
Answer» Answer: Step-by-step EXPLANATION: Let α, β and γ be the ANGLES of a triangle; then it holds sin2α+sin2β+sin2γ=2+2cosαcosβcosγ If this equals 2, we conclude cosαcosβcosγ=0 so ONE of the angles is a right angle. Proof of the claim Let's use that γ=π−α−β, so cosγ=−cos(α+β). Then cos2α+cos2β+cos2γ=cos2α+cos2β+cos2(α+β)=cos2α+cos2β+cos2αcos2β+sin2αsin2β−2sinαsinβcosαcosβ=cos2α+cos2β+1−cos2α−cos2β+2cos2αcos2β−2sinαsinβcosαcosβ=1+2cosαcosβ(cosαcosβ−sinαsinβ)=1−2cosαcosβcosγ giving the FINAL relation cos2α+cos2β+cos2γ=1−2cosαcosβcosγ Now sin2α+sin2β+sin2γ=3−cos2α−cos2β−cos2γ=2+2cosαcosβcosγ as claimed at the beginning. |
|
| 37. |
If the number of subsets of a set is 32.find the Cardinal number of the set. I WILL MAKE YOU THE BRAINLIEST |
|
Answer» Answer: PLS find the below attachment Pls mark as the brainliest Hope it HELPS!! |
|
| 38. |
Simplify:(1³+2³+3³)½ |
|
Answer» HYY mate...... Here is your answer ...... HOPE it will help you.... Thanks for ASKING.... |
|
| 39. |
Find the three rational numbers between 2/5 and 5/6 |
|
Answer» Answer: 2,3,4,5......................OKK |
|
| 42. |
Square root of 10 raise to power 2 + 10 raise to power 2 |
|
Answer» in attachment Step-by-step EXPLANATION: |
|
| 43. |
Simplify 4 root3 +7 root12 - 2 root75 + 5 root27 |
|
Answer» Answer: 23√3 Step-by-step explanation: √12 can be written as √(4*3) =2√3 √75 =√(3*5²)=5√3 √27 = √(3²*3) =3√3 so 4 root3 +7 ROOT12 - 2 root75 + 5 root27 is 4√3 + 7*2√3 -2*5√3 +5*3√3=23√3 |
|
| 44. |
1) Find two rational numbers between 2 and 32) Insert an irrational number between 3and route 7 |
|
Answer» question 1 2multiply by 10 =20 and 3multiply by 10 =30 rationals NUMBER are. 21,22,23,24,25,26,etc. you FIND all rational numbers between 20 and 30 |
|
| 45. |
Which is the smallest 4 digit number divisible by 6 and 8 |
|
Answer» Step-by-step explanation: 1008 is the answer mark it as a BRAINLIEST |
|
| 46. |
Divide by 2xsquare+3x +1 by x+2,find quotient and remainder |
|
Answer» Answer: |
|
| 47. |
Can anyone solve this question for me I don’t understand this 26th question. |
|
Answer» HERE'S YOUR ANSWER IF YOU FOUND IT HELPFUL PLEASE MARK IT AS BRAINLIEST |
|
| 48. |
Arun has only Rupees 1 and rupees 2 coins with her if the total number of coins that she has is 50 and the amount of money with her is rupees 75 find the number of 1 Rupee and 2 rupee coins with her |
|
Answer» Step-by-step EXPLANATION: |
|
| 49. |
14. The angles of a triangle are in ratio 2:7:11. The angles are(a) (20°, 70°, 90°) (b) (30°,70°,809) (c) (18°,639.99 |
|
Answer» given the ratio between the angles of the TRIANGLE are 2 : 7 : 11 let the angles be 2x, 7x and 11x respectively. we know that the SUM of angles of a triangle is 180° therefore 2x + 7x + 11x = 180° ➡ 20X = 180° ➡ x = 180/20 ➡ x = 9° The angles are :-
hence, correct option is (c) 18°, 63°, 99° |
|
| 50. |
Please solve PROOVE THAT ( BD = CF ) |
|
Answer» Answer: Step-by-step EXPLANATION: In triangle, ABC and DEF, ∠ABC = ∠EFD [ Alternate angles are equal] AC = DE [Given] ∠ACB = ∠EDF [Given] ∴ ΔABC≅ΔDEF ∴ BD = CF [ Sides in CORRESPONDING positions of two CONGRUENT TRIANGLES are always equal] |
|